59.777 * [progress]: [Phase 1 of 3] Setting up.
0.002 * * * [progress]: [1/2] Preparing points
0.210 * * * [progress]: [2/2] Setting up program.
0.217 * [progress]: [Phase 2 of 3] Improving.
0.218 * [simplify]: Simplifying:
  (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
0.218 * * [simplify]: Extracting # 0 : cost  0
0.218 * * [simplify]: Extracting # 1 : cost  0
0.218 * * [simplify]: Extracting # 2 : cost  0
0.218 * * [simplify]: Extracting # 3 : cost  0
0.218 * * [simplify]: Extracting # 4 : cost  0
0.218 * * [simplify]: Extracting # 5 : cost  0
0.218 * * [simplify]: Extracting # 6 : cost  0
0.218 * * [simplify]: Extracting # 7 : cost  0
0.218 * * [simplify]: iteration  0 :  13  enodes  (cost  16 )
0.224 * * [simplify]: Extracting # 0 : cost  0
0.224 * * [simplify]: Extracting # 1 : cost  0
0.224 * * [simplify]: Extracting # 2 : cost  0
0.224 * * [simplify]: Extracting # 3 : cost  0
0.224 * * [simplify]: Extracting # 4 : cost  0
0.224 * * [simplify]: Extracting # 5 : cost  0
0.224 * * [simplify]: iteration  1 :  29  enodes  (cost  16 )
0.236 * * [simplify]: Extracting # 0 : cost  0
0.236 * * [simplify]: Extracting # 1 : cost  0
0.236 * * [simplify]: Extracting # 2 : cost  0
0.236 * * [simplify]: Extracting # 3 : cost  0
0.236 * * [simplify]: Extracting # 4 : cost  0
0.236 * * [simplify]: iteration  2 :  59  enodes  (cost  16 )
0.259 * * [simplify]: Extracting # 0 : cost  0
0.259 * * [simplify]: Extracting # 1 : cost  0
0.260 * * [simplify]: Extracting # 2 : cost  0
0.260 * * [simplify]: Extracting # 3 : cost  0
0.260 * * [simplify]: Extracting # 4 : cost  0
0.260 * * [simplify]: iteration  3 :  120  enodes  (cost  16 )
0.344 * * [simplify]: Extracting # 0 : cost  0
0.344 * * [simplify]: Extracting # 1 : cost  0
0.345 * * [simplify]: Extracting # 2 : cost  0
0.346 * * [simplify]: Extracting # 3 : cost  0
0.346 * * [simplify]: Extracting # 4 : cost  0
0.347 * * [simplify]: iteration  4 :  330  enodes  (cost  16 )
0.699 * * [simplify]: Extracting # 0 : cost  0
0.702 * * [simplify]: Extracting # 1 : cost  0
0.706 * * [simplify]: Extracting # 2 : cost  0
0.708 * * [simplify]: Extracting # 3 : cost  0
0.711 * * [simplify]: Extracting # 4 : cost  0
0.714 * * [simplify]: Extracting # 5 : cost  0
0.717 * * [simplify]: iteration  5 :  1555  enodes  (cost  16 )
1.870 * * [simplify]: Extracting # 0 : cost  0
1.925 * * [simplify]: Extracting # 1 : cost  0
1.939 * * [simplify]: Extracting # 2 : cost  0
1.952 * * [simplify]: Extracting # 3 : cost  0
1.967 * * [simplify]: Extracting # 4 : cost  0
1.979 * * [simplify]: iteration done:  5001  enodes  (cost  16 )
1.980 * [simplify]: Simplified to:
  (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
1.980 * * [progress]: iteration 1 / 4
1.980 * * * [progress]: picking best candidate
1.987 * * * * [pick]: Picked  #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))>
1.987 * * * [progress]: localizing error
2.030 * * * [progress]: generating rewritten candidates
2.030 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1)
2.065 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
2.078 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
2.165 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2)
2.226 * * * [progress]: generating series expansions
2.226 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1)
2.227 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI))
2.227 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0
2.227 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n
2.227 * [taylor]: Taking taylor expansion of 2.0 in n
2.227 * [backup-simplify]: Simplify 2.0 into 2.0
2.227 * [taylor]: Taking taylor expansion of (* n PI) in n
2.227 * [taylor]: Taking taylor expansion of n in n
2.227 * [backup-simplify]: Simplify 0 into 0
2.227 * [backup-simplify]: Simplify 1 into 1
2.228 * [taylor]: Taking taylor expansion of PI in n
2.228 * [backup-simplify]: Simplify PI into PI
2.228 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n
2.228 * [taylor]: Taking taylor expansion of 2.0 in n
2.228 * [backup-simplify]: Simplify 2.0 into 2.0
2.228 * [taylor]: Taking taylor expansion of (* n PI) in n
2.228 * [taylor]: Taking taylor expansion of n in n
2.228 * [backup-simplify]: Simplify 0 into 0
2.228 * [backup-simplify]: Simplify 1 into 1
2.228 * [taylor]: Taking taylor expansion of PI in n
2.228 * [backup-simplify]: Simplify PI into PI
2.229 * [backup-simplify]: Simplify (* 0 PI) into 0
2.229 * [backup-simplify]: Simplify (* 2.0 0) into 0
2.229 * [backup-simplify]: Simplify 0 into 0
2.231 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
2.233 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI)
2.233 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
2.234 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
2.235 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0
2.235 * [backup-simplify]: Simplify 0 into 0
2.237 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
2.238 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
2.238 * [backup-simplify]: Simplify 0 into 0
2.240 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
2.241 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
2.241 * [backup-simplify]: Simplify 0 into 0
2.243 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
2.245 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
2.245 * [backup-simplify]: Simplify 0 into 0
2.247 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
2.248 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
2.249 * [backup-simplify]: Simplify 0 into 0
2.251 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
2.253 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
2.253 * [backup-simplify]: Simplify 0 into 0
2.253 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI))
2.254 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n))
2.254 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0
2.254 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n
2.254 * [taylor]: Taking taylor expansion of 2.0 in n
2.254 * [backup-simplify]: Simplify 2.0 into 2.0
2.254 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.254 * [taylor]: Taking taylor expansion of PI in n
2.254 * [backup-simplify]: Simplify PI into PI
2.254 * [taylor]: Taking taylor expansion of n in n
2.254 * [backup-simplify]: Simplify 0 into 0
2.254 * [backup-simplify]: Simplify 1 into 1
2.255 * [backup-simplify]: Simplify (/ PI 1) into PI
2.255 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n
2.255 * [taylor]: Taking taylor expansion of 2.0 in n
2.255 * [backup-simplify]: Simplify 2.0 into 2.0
2.255 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.255 * [taylor]: Taking taylor expansion of PI in n
2.255 * [backup-simplify]: Simplify PI into PI
2.255 * [taylor]: Taking taylor expansion of n in n
2.255 * [backup-simplify]: Simplify 0 into 0
2.255 * [backup-simplify]: Simplify 1 into 1
2.256 * [backup-simplify]: Simplify (/ PI 1) into PI
2.256 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
2.257 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
2.258 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
2.259 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0
2.259 * [backup-simplify]: Simplify 0 into 0
2.260 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.261 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0
2.261 * [backup-simplify]: Simplify 0 into 0
2.262 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.264 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
2.264 * [backup-simplify]: Simplify 0 into 0
2.265 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.267 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
2.267 * [backup-simplify]: Simplify 0 into 0
2.268 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.270 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
2.270 * [backup-simplify]: Simplify 0 into 0
2.272 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.274 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
2.274 * [backup-simplify]: Simplify 0 into 0
2.276 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI))
2.277 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n))
2.277 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0
2.277 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n
2.277 * [taylor]: Taking taylor expansion of -2.0 in n
2.277 * [backup-simplify]: Simplify -2.0 into -2.0
2.277 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.277 * [taylor]: Taking taylor expansion of PI in n
2.277 * [backup-simplify]: Simplify PI into PI
2.277 * [taylor]: Taking taylor expansion of n in n
2.277 * [backup-simplify]: Simplify 0 into 0
2.277 * [backup-simplify]: Simplify 1 into 1
2.278 * [backup-simplify]: Simplify (/ PI 1) into PI
2.278 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n
2.278 * [taylor]: Taking taylor expansion of -2.0 in n
2.278 * [backup-simplify]: Simplify -2.0 into -2.0
2.278 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.278 * [taylor]: Taking taylor expansion of PI in n
2.278 * [backup-simplify]: Simplify PI into PI
2.278 * [taylor]: Taking taylor expansion of n in n
2.279 * [backup-simplify]: Simplify 0 into 0
2.279 * [backup-simplify]: Simplify 1 into 1
2.279 * [backup-simplify]: Simplify (/ PI 1) into PI
2.280 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
2.281 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
2.282 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
2.283 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0
2.283 * [backup-simplify]: Simplify 0 into 0
2.284 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.286 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0
2.286 * [backup-simplify]: Simplify 0 into 0
2.287 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.288 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
2.289 * [backup-simplify]: Simplify 0 into 0
2.290 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.292 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
2.292 * [backup-simplify]: Simplify 0 into 0
2.293 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.295 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
2.295 * [backup-simplify]: Simplify 0 into 0
2.296 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.298 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
2.298 * [backup-simplify]: Simplify 0 into 0
2.299 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI))
2.299 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
2.299 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k)))
2.299 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0
2.299 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k
2.299 * [taylor]: Taking taylor expansion of 1.0 in k
2.299 * [backup-simplify]: Simplify 1.0 into 1.0
2.300 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
2.300 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.300 * [taylor]: Taking taylor expansion of k in k
2.300 * [backup-simplify]: Simplify 0 into 0
2.300 * [backup-simplify]: Simplify 1 into 1
2.300 * [backup-simplify]: Simplify (/ 1 1) into 1
2.301 * [backup-simplify]: Simplify (sqrt 0) into 0
2.303 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.303 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k
2.303 * [taylor]: Taking taylor expansion of 1.0 in k
2.303 * [backup-simplify]: Simplify 1.0 into 1.0
2.303 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
2.303 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.303 * [taylor]: Taking taylor expansion of k in k
2.303 * [backup-simplify]: Simplify 0 into 0
2.303 * [backup-simplify]: Simplify 1 into 1
2.304 * [backup-simplify]: Simplify (/ 1 1) into 1
2.304 * [backup-simplify]: Simplify (sqrt 0) into 0
2.306 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.307 * [backup-simplify]: Simplify (* 1.0 0) into 0
2.307 * [backup-simplify]: Simplify 0 into 0
2.309 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0)
2.310 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
2.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.315 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
2.317 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0)
2.318 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
2.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.324 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
2.326 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0)
2.327 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
2.329 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0)))))
2.329 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k))
2.329 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0
2.329 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k
2.329 * [taylor]: Taking taylor expansion of 1.0 in k
2.329 * [backup-simplify]: Simplify 1.0 into 1.0
2.329 * [taylor]: Taking taylor expansion of (sqrt k) in k
2.329 * [taylor]: Taking taylor expansion of k in k
2.329 * [backup-simplify]: Simplify 0 into 0
2.329 * [backup-simplify]: Simplify 1 into 1
2.329 * [backup-simplify]: Simplify (sqrt 0) into 0
2.331 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.331 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k
2.331 * [taylor]: Taking taylor expansion of 1.0 in k
2.331 * [backup-simplify]: Simplify 1.0 into 1.0
2.331 * [taylor]: Taking taylor expansion of (sqrt k) in k
2.331 * [taylor]: Taking taylor expansion of k in k
2.331 * [backup-simplify]: Simplify 0 into 0
2.331 * [backup-simplify]: Simplify 1 into 1
2.332 * [backup-simplify]: Simplify (sqrt 0) into 0
2.333 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.333 * [backup-simplify]: Simplify (* 1.0 0) into 0
2.333 * [backup-simplify]: Simplify 0 into 0
2.335 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0)
2.335 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
2.338 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
2.340 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0)
2.341 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
2.344 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
2.347 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0)
2.347 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
2.349 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 k) 3)) (+ (* (- +nan.0) (pow (/ 1 k) 2)) (* (- +nan.0) (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3))))))))
2.349 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k)))
2.349 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0
2.349 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k
2.349 * [taylor]: Taking taylor expansion of 1.0 in k
2.349 * [backup-simplify]: Simplify 1.0 into 1.0
2.349 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
2.349 * [taylor]: Taking taylor expansion of (/ -1 k) in k
2.349 * [taylor]: Taking taylor expansion of -1 in k
2.349 * [backup-simplify]: Simplify -1 into -1
2.350 * [taylor]: Taking taylor expansion of k in k
2.350 * [backup-simplify]: Simplify 0 into 0
2.350 * [backup-simplify]: Simplify 1 into 1
2.350 * [backup-simplify]: Simplify (/ -1 1) into -1
2.350 * [backup-simplify]: Simplify (sqrt 0) into 0
2.352 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
2.352 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0
2.352 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k
2.352 * [taylor]: Taking taylor expansion of 1.0 in k
2.352 * [backup-simplify]: Simplify 1.0 into 1.0
2.352 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
2.352 * [taylor]: Taking taylor expansion of (/ -1 k) in k
2.353 * [taylor]: Taking taylor expansion of -1 in k
2.353 * [backup-simplify]: Simplify -1 into -1
2.353 * [taylor]: Taking taylor expansion of k in k
2.353 * [backup-simplify]: Simplify 0 into 0
2.353 * [backup-simplify]: Simplify 1 into 1
2.353 * [backup-simplify]: Simplify (/ -1 1) into -1
2.353 * [backup-simplify]: Simplify (sqrt 0) into 0
2.355 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
2.355 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0
2.356 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.356 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.359 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
2.362 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
2.363 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
2.364 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.368 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
2.372 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
2.373 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
2.374 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0)))))
2.374 * * * * [progress]: [ 3 / 4 ] generating series at (2)
2.375 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) into (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))))
2.375 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in (k n) around 0
2.375 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n
2.375 * [taylor]: Taking taylor expansion of 1.0 in n
2.375 * [backup-simplify]: Simplify 1.0 into 1.0
2.375 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n
2.375 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
2.375 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.375 * [taylor]: Taking taylor expansion of k in n
2.375 * [backup-simplify]: Simplify k into k
2.375 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.375 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
2.375 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
2.376 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
2.376 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n
2.376 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n
2.376 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n
2.376 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n
2.376 * [taylor]: Taking taylor expansion of 0.5 in n
2.376 * [backup-simplify]: Simplify 0.5 into 0.5
2.376 * [taylor]: Taking taylor expansion of (- 1.0 k) in n
2.376 * [taylor]: Taking taylor expansion of 1.0 in n
2.376 * [backup-simplify]: Simplify 1.0 into 1.0
2.376 * [taylor]: Taking taylor expansion of k in n
2.376 * [backup-simplify]: Simplify k into k
2.376 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n
2.376 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n
2.376 * [taylor]: Taking taylor expansion of 2.0 in n
2.376 * [backup-simplify]: Simplify 2.0 into 2.0
2.376 * [taylor]: Taking taylor expansion of (* n PI) in n
2.376 * [taylor]: Taking taylor expansion of n in n
2.376 * [backup-simplify]: Simplify 0 into 0
2.376 * [backup-simplify]: Simplify 1 into 1
2.376 * [taylor]: Taking taylor expansion of PI in n
2.376 * [backup-simplify]: Simplify PI into PI
2.377 * [backup-simplify]: Simplify (* 0 PI) into 0
2.377 * [backup-simplify]: Simplify (* 2.0 0) into 0
2.379 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
2.381 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI)
2.382 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
2.382 * [backup-simplify]: Simplify (- k) into (- k)
2.382 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k)
2.382 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k))
2.384 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
2.385 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))
2.387 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))))
2.387 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k
2.387 * [taylor]: Taking taylor expansion of 1.0 in k
2.387 * [backup-simplify]: Simplify 1.0 into 1.0
2.387 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k
2.387 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
2.387 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.387 * [taylor]: Taking taylor expansion of k in k
2.387 * [backup-simplify]: Simplify 0 into 0
2.387 * [backup-simplify]: Simplify 1 into 1
2.387 * [backup-simplify]: Simplify (/ 1 1) into 1
2.393 * [backup-simplify]: Simplify (sqrt 0) into 0
2.395 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.395 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k
2.395 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k
2.395 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k
2.395 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k
2.395 * [taylor]: Taking taylor expansion of 0.5 in k
2.395 * [backup-simplify]: Simplify 0.5 into 0.5
2.395 * [taylor]: Taking taylor expansion of (- 1.0 k) in k
2.395 * [taylor]: Taking taylor expansion of 1.0 in k
2.395 * [backup-simplify]: Simplify 1.0 into 1.0
2.395 * [taylor]: Taking taylor expansion of k in k
2.395 * [backup-simplify]: Simplify 0 into 0
2.395 * [backup-simplify]: Simplify 1 into 1
2.395 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k
2.395 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k
2.395 * [taylor]: Taking taylor expansion of 2.0 in k
2.395 * [backup-simplify]: Simplify 2.0 into 2.0
2.395 * [taylor]: Taking taylor expansion of (* n PI) in k
2.395 * [taylor]: Taking taylor expansion of n in k
2.396 * [backup-simplify]: Simplify n into n
2.396 * [taylor]: Taking taylor expansion of PI in k
2.396 * [backup-simplify]: Simplify PI into PI
2.396 * [backup-simplify]: Simplify (* n PI) into (* n PI)
2.396 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI))
2.396 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI)))
2.397 * [backup-simplify]: Simplify (- 0) into 0
2.397 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
2.398 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5
2.398 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI))))
2.398 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5)
2.398 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k
2.398 * [taylor]: Taking taylor expansion of 1.0 in k
2.398 * [backup-simplify]: Simplify 1.0 into 1.0
2.398 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k
2.398 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
2.398 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.398 * [taylor]: Taking taylor expansion of k in k
2.398 * [backup-simplify]: Simplify 0 into 0
2.398 * [backup-simplify]: Simplify 1 into 1
2.399 * [backup-simplify]: Simplify (/ 1 1) into 1
2.399 * [backup-simplify]: Simplify (sqrt 0) into 0
2.401 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.401 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k
2.401 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k
2.401 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k
2.401 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k
2.401 * [taylor]: Taking taylor expansion of 0.5 in k
2.401 * [backup-simplify]: Simplify 0.5 into 0.5
2.401 * [taylor]: Taking taylor expansion of (- 1.0 k) in k
2.401 * [taylor]: Taking taylor expansion of 1.0 in k
2.401 * [backup-simplify]: Simplify 1.0 into 1.0
2.401 * [taylor]: Taking taylor expansion of k in k
2.401 * [backup-simplify]: Simplify 0 into 0
2.401 * [backup-simplify]: Simplify 1 into 1
2.401 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k
2.401 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k
2.401 * [taylor]: Taking taylor expansion of 2.0 in k
2.401 * [backup-simplify]: Simplify 2.0 into 2.0
2.401 * [taylor]: Taking taylor expansion of (* n PI) in k
2.401 * [taylor]: Taking taylor expansion of n in k
2.401 * [backup-simplify]: Simplify n into n
2.401 * [taylor]: Taking taylor expansion of PI in k
2.401 * [backup-simplify]: Simplify PI into PI
2.401 * [backup-simplify]: Simplify (* n PI) into (* n PI)
2.401 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI))
2.402 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI)))
2.402 * [backup-simplify]: Simplify (- 0) into 0
2.403 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
2.403 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5
2.403 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI))))
2.403 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5)
2.404 * [backup-simplify]: Simplify (* 0 (pow (* 2.0 (* n PI)) 0.5)) into 0
2.404 * [backup-simplify]: Simplify (* 1.0 0) into 0
2.404 * [taylor]: Taking taylor expansion of 0 in n
2.404 * [backup-simplify]: Simplify 0 into 0
2.405 * [backup-simplify]: Simplify 0 into 0
2.405 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0
2.406 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (* n PI))) into 0
2.407 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 1) into 0
2.407 * [backup-simplify]: Simplify (- 1) into -1
2.408 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.409 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5)
2.411 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 (* n PI))))) into (- (* 0.5 (log (* 2.0 (* n PI)))))
2.411 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 1) 1)))) into (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))
2.413 * [backup-simplify]: Simplify (+ (* 0 (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (* +nan.0 (pow (* 2.0 (* n PI)) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))
2.415 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0)) into (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))
2.415 * [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
2.415 * [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
2.415 * [taylor]: Taking taylor expansion of +nan.0 in n
2.416 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.416 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n
2.416 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n
2.416 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n
2.416 * [taylor]: Taking taylor expansion of 0.5 in n
2.416 * [backup-simplify]: Simplify 0.5 into 0.5
2.416 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n
2.416 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n
2.416 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n
2.416 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n
2.416 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n
2.416 * [taylor]: Taking taylor expansion of 1.0 in n
2.416 * [backup-simplify]: Simplify 1.0 into 1.0
2.416 * [taylor]: Taking taylor expansion of (log PI) in n
2.416 * [taylor]: Taking taylor expansion of PI in n
2.416 * [backup-simplify]: Simplify PI into PI
2.417 * [backup-simplify]: Simplify (log PI) into (log PI)
2.418 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI))
2.419 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0)
2.419 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n
2.419 * [taylor]: Taking taylor expansion of (pow n 1.0) in n
2.420 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n
2.420 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n
2.420 * [taylor]: Taking taylor expansion of 1.0 in n
2.420 * [backup-simplify]: Simplify 1.0 into 1.0
2.420 * [taylor]: Taking taylor expansion of (log n) in n
2.420 * [taylor]: Taking taylor expansion of n in n
2.420 * [backup-simplify]: Simplify 0 into 0
2.420 * [backup-simplify]: Simplify 1 into 1
2.420 * [backup-simplify]: Simplify (log 1) into 0
2.421 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
2.421 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n))
2.421 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0)
2.421 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n
2.421 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n
2.421 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n
2.421 * [taylor]: Taking taylor expansion of 1.0 in n
2.421 * [backup-simplify]: Simplify 1.0 into 1.0
2.421 * [taylor]: Taking taylor expansion of (log 2.0) in n
2.421 * [taylor]: Taking taylor expansion of 2.0 in n
2.421 * [backup-simplify]: Simplify 2.0 into 2.0
2.422 * [backup-simplify]: Simplify (log 2.0) into (log 2.0)
2.422 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0))
2.424 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0)
2.425 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)
2.426 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)
2.427 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))
2.429 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))
2.430 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (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) 0.5)
2.432 * [backup-simplify]: Simplify (* +nan.0 (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) 0.5)) into (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))
2.434 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))
2.435 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))
2.435 * [backup-simplify]: Simplify 0 into 0
2.436 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0
2.437 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (* n PI)))) into 0
2.439 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 2) into 0
2.439 * [backup-simplify]: Simplify (- 0) into 0
2.440 * [backup-simplify]: Simplify (+ 0 0) into 0
2.441 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0
2.442 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 (* n PI)))))) into 0
2.443 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log (* 2.0 (* n PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))
2.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.448 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
2.451 * [backup-simplify]: Simplify (+ (* 0 (* 0.125 (* (pow (log (* 2.0 (* n PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (+ (* +nan.0 (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (* +nan.0 (pow (* 2.0 (* n PI)) 0.5)))) into (- (+ (* +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))))))))
2.457 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +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))))))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0))) into (- (+ (* +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))))))))
2.457 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) in n
2.457 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))) in n
2.457 * [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
2.458 * [taylor]: Taking taylor expansion of +nan.0 in n
2.458 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.458 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n
2.458 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n
2.458 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n
2.458 * [taylor]: Taking taylor expansion of 0.5 in n
2.458 * [backup-simplify]: Simplify 0.5 into 0.5
2.458 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n
2.458 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n
2.458 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n
2.458 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n
2.458 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n
2.458 * [taylor]: Taking taylor expansion of 1.0 in n
2.458 * [backup-simplify]: Simplify 1.0 into 1.0
2.458 * [taylor]: Taking taylor expansion of (log PI) in n
2.458 * [taylor]: Taking taylor expansion of PI in n
2.458 * [backup-simplify]: Simplify PI into PI
2.459 * [backup-simplify]: Simplify (log PI) into (log PI)
2.460 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI))
2.461 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0)
2.461 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n
2.461 * [taylor]: Taking taylor expansion of (pow n 1.0) in n
2.462 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n
2.462 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n
2.462 * [taylor]: Taking taylor expansion of 1.0 in n
2.462 * [backup-simplify]: Simplify 1.0 into 1.0
2.462 * [taylor]: Taking taylor expansion of (log n) in n
2.462 * [taylor]: Taking taylor expansion of n in n
2.462 * [backup-simplify]: Simplify 0 into 0
2.462 * [backup-simplify]: Simplify 1 into 1
2.462 * [backup-simplify]: Simplify (log 1) into 0
2.463 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
2.463 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n))
2.463 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0)
2.463 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n
2.463 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n
2.463 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n
2.463 * [taylor]: Taking taylor expansion of 1.0 in n
2.463 * [backup-simplify]: Simplify 1.0 into 1.0
2.463 * [taylor]: Taking taylor expansion of (log 2.0) in n
2.463 * [taylor]: Taking taylor expansion of 2.0 in n
2.463 * [backup-simplify]: Simplify 2.0 into 2.0
2.464 * [backup-simplify]: Simplify (log 2.0) into (log 2.0)
2.464 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0))
2.466 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0)
2.467 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)
2.468 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)
2.469 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))
2.471 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))
2.472 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (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) 0.5)
2.472 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))) in n
2.472 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n
2.473 * [taylor]: Taking taylor expansion of +nan.0 in n
2.473 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.473 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n
2.473 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n
2.473 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n
2.473 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n
2.473 * [taylor]: Taking taylor expansion of 0.5 in n
2.473 * [backup-simplify]: Simplify 0.5 into 0.5
2.473 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n
2.473 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n
2.473 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n
2.473 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n
2.473 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n
2.473 * [taylor]: Taking taylor expansion of 1.0 in n
2.473 * [backup-simplify]: Simplify 1.0 into 1.0
2.473 * [taylor]: Taking taylor expansion of (log 2.0) in n
2.473 * [taylor]: Taking taylor expansion of 2.0 in n
2.473 * [backup-simplify]: Simplify 2.0 into 2.0
2.474 * [backup-simplify]: Simplify (log 2.0) into (log 2.0)
2.475 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0))
2.476 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0)
2.476 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n
2.476 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n
2.476 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n
2.476 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n
2.476 * [taylor]: Taking taylor expansion of 1.0 in n
2.476 * [backup-simplify]: Simplify 1.0 into 1.0
2.476 * [taylor]: Taking taylor expansion of (log PI) in n
2.476 * [taylor]: Taking taylor expansion of PI in n
2.477 * [backup-simplify]: Simplify PI into PI
2.477 * [backup-simplify]: Simplify (log PI) into (log PI)
2.478 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI))
2.480 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0)
2.480 * [taylor]: Taking taylor expansion of (pow n 1.0) in n
2.480 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n
2.480 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n
2.480 * [taylor]: Taking taylor expansion of 1.0 in n
2.480 * [backup-simplify]: Simplify 1.0 into 1.0
2.480 * [taylor]: Taking taylor expansion of (log n) in n
2.480 * [taylor]: Taking taylor expansion of n in n
2.480 * [backup-simplify]: Simplify 0 into 0
2.480 * [backup-simplify]: Simplify 1 into 1
2.481 * [backup-simplify]: Simplify (log 1) into 0
2.481 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
2.481 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n))
2.481 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0)
2.482 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)
2.484 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)
2.485 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))
2.486 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))
2.488 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (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) 0.5)
2.488 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n
2.488 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n
2.488 * [taylor]: Taking taylor expansion of 2.0 in n
2.488 * [backup-simplify]: Simplify 2.0 into 2.0
2.488 * [taylor]: Taking taylor expansion of (* n PI) in n
2.488 * [taylor]: Taking taylor expansion of n in n
2.488 * [backup-simplify]: Simplify 0 into 0
2.488 * [backup-simplify]: Simplify 1 into 1
2.488 * [taylor]: Taking taylor expansion of PI in n
2.488 * [backup-simplify]: Simplify PI into PI
2.489 * [backup-simplify]: Simplify (* 0 PI) into 0
2.489 * [backup-simplify]: Simplify (* 2.0 0) into 0
2.491 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
2.493 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI)
2.494 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
2.495 * [backup-simplify]: Simplify (* +nan.0 (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) 0.5)) into (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))
2.497 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
2.500 * [backup-simplify]: Simplify (* (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) 0.5) (+ (log (* 2.0 PI)) (log n))) into (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))
2.502 * [backup-simplify]: Simplify (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))
2.506 * [backup-simplify]: Simplify (- (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))
2.512 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))) into (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))
2.518 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))) into (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))
2.525 * [backup-simplify]: Simplify (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) into (- (+ (* +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 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))
2.527 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0
2.528 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0
2.530 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0
2.531 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
2.532 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
2.532 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0
2.533 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0
2.534 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0
2.536 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
2.537 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0
2.538 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
2.540 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0
2.542 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1)))) 1) into 0
2.545 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)))) into 0
2.547 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
2.550 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (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) 0.5))) into 0
2.550 * [backup-simplify]: Simplify (- 0) into 0
2.550 * [backup-simplify]: Simplify 0 into 0
2.551 * [backup-simplify]: Simplify 0 into 0
2.552 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
2.553 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0
2.557 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 (* n PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 (* n PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 6) into 0
2.558 * [backup-simplify]: Simplify (- 0) into 0
2.559 * [backup-simplify]: Simplify (+ 0 0) into 0
2.565 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0
2.567 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 (* n PI))))))) into 0
2.569 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 3) 6)) (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (log (* 2.0 (* n PI))) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))
2.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.575 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
2.583 * [backup-simplify]: Simplify (+ (* 0 (* -0.020833333333333332 (* (pow (log (* 2.0 (* n PI))) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (+ (* +nan.0 (* 0.125 (* (pow (log (* 2.0 (* n PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (+ (* +nan.0 (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (* +nan.0 (pow (* 2.0 (* n PI)) 0.5))))) into (- (+ (* +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))))))))
2.596 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +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))))))))) (+ (* 0 (- (+ (* +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))))))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0)))) into (- (+ (* +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))))))))
2.596 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) in n
2.596 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))) in n
2.596 * [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
2.596 * [taylor]: Taking taylor expansion of +nan.0 in n
2.597 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.597 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n
2.597 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n
2.597 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n
2.597 * [taylor]: Taking taylor expansion of 0.5 in n
2.597 * [backup-simplify]: Simplify 0.5 into 0.5
2.597 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n
2.597 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n
2.597 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n
2.597 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n
2.597 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n
2.597 * [taylor]: Taking taylor expansion of 1.0 in n
2.597 * [backup-simplify]: Simplify 1.0 into 1.0
2.597 * [taylor]: Taking taylor expansion of (log 2.0) in n
2.597 * [taylor]: Taking taylor expansion of 2.0 in n
2.597 * [backup-simplify]: Simplify 2.0 into 2.0
2.598 * [backup-simplify]: Simplify (log 2.0) into (log 2.0)
2.599 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0))
2.600 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0)
2.600 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n
2.600 * [taylor]: Taking taylor expansion of (pow n 1.0) in n
2.600 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n
2.600 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n
2.600 * [taylor]: Taking taylor expansion of 1.0 in n
2.600 * [backup-simplify]: Simplify 1.0 into 1.0
2.600 * [taylor]: Taking taylor expansion of (log n) in n
2.600 * [taylor]: Taking taylor expansion of n in n
2.600 * [backup-simplify]: Simplify 0 into 0
2.601 * [backup-simplify]: Simplify 1 into 1
2.601 * [backup-simplify]: Simplify (log 1) into 0
2.601 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
2.601 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n))
2.602 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0)
2.602 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n
2.602 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n
2.602 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n
2.602 * [taylor]: Taking taylor expansion of 1.0 in n
2.602 * [backup-simplify]: Simplify 1.0 into 1.0
2.602 * [taylor]: Taking taylor expansion of (log PI) in n
2.602 * [taylor]: Taking taylor expansion of PI in n
2.602 * [backup-simplify]: Simplify PI into PI
2.602 * [backup-simplify]: Simplify (log PI) into (log PI)
2.603 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI))
2.605 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0)
2.606 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)
2.607 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)
2.608 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))
2.610 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))
2.612 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (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) 0.5)
2.612 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))) in n
2.612 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))) in n
2.612 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n
2.612 * [taylor]: Taking taylor expansion of +nan.0 in n
2.612 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.612 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n
2.612 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n
2.612 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n
2.612 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n
2.612 * [taylor]: Taking taylor expansion of 0.5 in n
2.612 * [backup-simplify]: Simplify 0.5 into 0.5
2.612 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n
2.612 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n
2.612 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n
2.612 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n
2.612 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n
2.612 * [taylor]: Taking taylor expansion of 1.0 in n
2.612 * [backup-simplify]: Simplify 1.0 into 1.0
2.612 * [taylor]: Taking taylor expansion of (log 2.0) in n
2.612 * [taylor]: Taking taylor expansion of 2.0 in n
2.612 * [backup-simplify]: Simplify 2.0 into 2.0
2.613 * [backup-simplify]: Simplify (log 2.0) into (log 2.0)
2.614 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0))
2.615 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0)
2.616 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n
2.616 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n
2.616 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n
2.616 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n
2.616 * [taylor]: Taking taylor expansion of 1.0 in n
2.616 * [backup-simplify]: Simplify 1.0 into 1.0
2.616 * [taylor]: Taking taylor expansion of (log PI) in n
2.616 * [taylor]: Taking taylor expansion of PI in n
2.616 * [backup-simplify]: Simplify PI into PI
2.616 * [backup-simplify]: Simplify (log PI) into (log PI)
2.617 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI))
2.619 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0)
2.619 * [taylor]: Taking taylor expansion of (pow n 1.0) in n
2.619 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n
2.619 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n
2.619 * [taylor]: Taking taylor expansion of 1.0 in n
2.619 * [backup-simplify]: Simplify 1.0 into 1.0
2.619 * [taylor]: Taking taylor expansion of (log n) in n
2.619 * [taylor]: Taking taylor expansion of n in n
2.619 * [backup-simplify]: Simplify 0 into 0
2.619 * [backup-simplify]: Simplify 1 into 1
2.620 * [backup-simplify]: Simplify (log 1) into 0
2.620 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
2.620 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n))
2.620 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0)
2.621 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)
2.623 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)
2.624 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))
2.626 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))
2.627 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (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) 0.5)
2.628 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n
2.628 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n
2.628 * [taylor]: Taking taylor expansion of 2.0 in n
2.628 * [backup-simplify]: Simplify 2.0 into 2.0
2.628 * [taylor]: Taking taylor expansion of (* n PI) in n
2.628 * [taylor]: Taking taylor expansion of n in n
2.628 * [backup-simplify]: Simplify 0 into 0
2.628 * [backup-simplify]: Simplify 1 into 1
2.628 * [taylor]: Taking taylor expansion of PI in n
2.628 * [backup-simplify]: Simplify PI into PI
2.628 * [backup-simplify]: Simplify (* 0 PI) into 0
2.629 * [backup-simplify]: Simplify (* 2.0 0) into 0
2.630 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
2.632 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI)
2.633 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
2.633 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))) in n
2.633 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) in n
2.633 * [taylor]: Taking taylor expansion of +nan.0 in n
2.633 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.633 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)) in n
2.634 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n
2.634 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n
2.634 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n
2.634 * [taylor]: Taking taylor expansion of 0.5 in n
2.634 * [backup-simplify]: Simplify 0.5 into 0.5
2.634 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n
2.634 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n
2.634 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n
2.634 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n
2.634 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n
2.634 * [taylor]: Taking taylor expansion of 1.0 in n
2.634 * [backup-simplify]: Simplify 1.0 into 1.0
2.634 * [taylor]: Taking taylor expansion of (log 2.0) in n
2.634 * [taylor]: Taking taylor expansion of 2.0 in n
2.634 * [backup-simplify]: Simplify 2.0 into 2.0
2.634 * [backup-simplify]: Simplify (log 2.0) into (log 2.0)
2.635 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0))
2.637 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0)
2.637 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n
2.637 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n
2.637 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n
2.637 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n
2.637 * [taylor]: Taking taylor expansion of 1.0 in n
2.637 * [backup-simplify]: Simplify 1.0 into 1.0
2.637 * [taylor]: Taking taylor expansion of (log PI) in n
2.637 * [taylor]: Taking taylor expansion of PI in n
2.637 * [backup-simplify]: Simplify PI into PI
2.638 * [backup-simplify]: Simplify (log PI) into (log PI)
2.639 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI))
2.640 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0)
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
2.640 * [backup-simplify]: Simplify 1.0 into 1.0
2.641 * [taylor]: Taking taylor expansion of (log n) in n
2.641 * [taylor]: Taking taylor expansion of n in n
2.641 * [backup-simplify]: Simplify 0 into 0
2.641 * [backup-simplify]: Simplify 1 into 1
2.641 * [backup-simplify]: Simplify (log 1) into 0
2.641 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
2.642 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n))
2.642 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0)
2.642 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)
2.644 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)
2.645 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))
2.647 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))
2.648 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (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) 0.5)
2.648 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n
2.649 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n
2.649 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n
2.649 * [taylor]: Taking taylor expansion of 2.0 in n
2.649 * [backup-simplify]: Simplify 2.0 into 2.0
2.649 * [taylor]: Taking taylor expansion of (* n PI) in n
2.649 * [taylor]: Taking taylor expansion of n in n
2.649 * [backup-simplify]: Simplify 0 into 0
2.649 * [backup-simplify]: Simplify 1 into 1
2.649 * [taylor]: Taking taylor expansion of PI in n
2.649 * [backup-simplify]: Simplify PI into PI
2.649 * [backup-simplify]: Simplify (* 0 PI) into 0
2.650 * [backup-simplify]: Simplify (* 2.0 0) into 0
2.652 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
2.653 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI)
2.654 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
2.656 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
2.658 * [backup-simplify]: Simplify (* +nan.0 (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) 0.5)) into (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))
2.659 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
2.663 * [backup-simplify]: Simplify (* (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) 0.5) (+ (log (* 2.0 PI)) (log n))) into (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))
2.665 * [backup-simplify]: Simplify (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))
2.667 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
2.669 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
2.671 * [backup-simplify]: Simplify (* (+ (log (* 2.0 PI)) (log n)) (+ (log (* 2.0 PI)) (log n))) into (pow (+ (log (* 2.0 PI)) (log n)) 2)
2.674 * [backup-simplify]: Simplify (* (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) 0.5) (pow (+ (log (* 2.0 PI)) (log n)) 2)) into (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))
2.677 * [backup-simplify]: Simplify (* +nan.0 (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (* +nan.0 (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))
2.680 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) into (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 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))) (- (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))
2.693 * [backup-simplify]: Simplify (+ (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 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))) (- (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 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 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))))))))))
2.709 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 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 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 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))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))))))
2.727 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 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))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (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 (* (log (* 2.0 PI)) (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 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))))))))
2.753 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (log n) 2) (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 (* (log (* 2.0 PI)) (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 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (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 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 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))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))))))))
2.770 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (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 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 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))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (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 n 1.0) (pow PI 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))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))))))))
2.799 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (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 n 1.0) (pow PI 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))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) (pow (* 1 k) 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 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) (* 1 k)) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) into (- (+ (* +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))))))))))))))))))))))
2.801 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 k))) (pow (* (* 2.0 PI) (/ 1 n)) (/ (- 1.0 (/ 1 k)) 2.0))) into (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))))
2.801 * [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
2.801 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n
2.801 * [taylor]: Taking taylor expansion of 1.0 in n
2.801 * [backup-simplify]: Simplify 1.0 into 1.0
2.801 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n
2.801 * [taylor]: Taking taylor expansion of (sqrt k) in n
2.801 * [taylor]: Taking taylor expansion of k in n
2.801 * [backup-simplify]: Simplify k into k
2.801 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
2.801 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
2.801 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n
2.801 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n
2.801 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n
2.801 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n
2.801 * [taylor]: Taking taylor expansion of 0.5 in n
2.801 * [backup-simplify]: Simplify 0.5 into 0.5
2.801 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n
2.801 * [taylor]: Taking taylor expansion of 1.0 in n
2.802 * [backup-simplify]: Simplify 1.0 into 1.0
2.802 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.802 * [taylor]: Taking taylor expansion of k in n
2.802 * [backup-simplify]: Simplify k into k
2.802 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.802 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n
2.802 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n
2.802 * [taylor]: Taking taylor expansion of 2.0 in n
2.802 * [backup-simplify]: Simplify 2.0 into 2.0
2.802 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.802 * [taylor]: Taking taylor expansion of PI in n
2.802 * [backup-simplify]: Simplify PI into PI
2.802 * [taylor]: Taking taylor expansion of n in n
2.802 * [backup-simplify]: Simplify 0 into 0
2.802 * [backup-simplify]: Simplify 1 into 1
2.803 * [backup-simplify]: Simplify (/ PI 1) into PI
2.803 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
2.804 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
2.804 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
2.805 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k))
2.805 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k)))
2.806 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
2.808 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))
2.809 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))
2.809 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k
2.809 * [taylor]: Taking taylor expansion of 1.0 in k
2.809 * [backup-simplify]: Simplify 1.0 into 1.0
2.809 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k
2.809 * [taylor]: Taking taylor expansion of (sqrt k) in k
2.809 * [taylor]: Taking taylor expansion of k in k
2.809 * [backup-simplify]: Simplify 0 into 0
2.809 * [backup-simplify]: Simplify 1 into 1
2.810 * [backup-simplify]: Simplify (sqrt 0) into 0
2.811 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.811 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k
2.811 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k
2.811 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k
2.811 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k
2.811 * [taylor]: Taking taylor expansion of 0.5 in k
2.811 * [backup-simplify]: Simplify 0.5 into 0.5
2.812 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k
2.812 * [taylor]: Taking taylor expansion of 1.0 in k
2.812 * [backup-simplify]: Simplify 1.0 into 1.0
2.812 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.812 * [taylor]: Taking taylor expansion of k in k
2.812 * [backup-simplify]: Simplify 0 into 0
2.812 * [backup-simplify]: Simplify 1 into 1
2.812 * [backup-simplify]: Simplify (/ 1 1) into 1
2.812 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k
2.812 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k
2.812 * [taylor]: Taking taylor expansion of 2.0 in k
2.812 * [backup-simplify]: Simplify 2.0 into 2.0
2.812 * [taylor]: Taking taylor expansion of (/ PI n) in k
2.812 * [taylor]: Taking taylor expansion of PI in k
2.812 * [backup-simplify]: Simplify PI into PI
2.812 * [taylor]: Taking taylor expansion of n in k
2.812 * [backup-simplify]: Simplify n into n
2.813 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
2.813 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n))
2.813 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n)))
2.813 * [backup-simplify]: Simplify (- 1) into -1
2.814 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.814 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5
2.814 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n))))
2.815 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))
2.815 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k
2.815 * [taylor]: Taking taylor expansion of 1.0 in k
2.815 * [backup-simplify]: Simplify 1.0 into 1.0
2.815 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k
2.815 * [taylor]: Taking taylor expansion of (sqrt k) in k
2.815 * [taylor]: Taking taylor expansion of k in k
2.815 * [backup-simplify]: Simplify 0 into 0
2.815 * [backup-simplify]: Simplify 1 into 1
2.815 * [backup-simplify]: Simplify (sqrt 0) into 0
2.817 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.817 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k
2.817 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k
2.817 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k
2.817 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k
2.817 * [taylor]: Taking taylor expansion of 0.5 in k
2.817 * [backup-simplify]: Simplify 0.5 into 0.5
2.817 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k
2.817 * [taylor]: Taking taylor expansion of 1.0 in k
2.817 * [backup-simplify]: Simplify 1.0 into 1.0
2.817 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.817 * [taylor]: Taking taylor expansion of k in k
2.817 * [backup-simplify]: Simplify 0 into 0
2.817 * [backup-simplify]: Simplify 1 into 1
2.818 * [backup-simplify]: Simplify (/ 1 1) into 1
2.818 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k
2.818 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k
2.818 * [taylor]: Taking taylor expansion of 2.0 in k
2.818 * [backup-simplify]: Simplify 2.0 into 2.0
2.818 * [taylor]: Taking taylor expansion of (/ PI n) in k
2.818 * [taylor]: Taking taylor expansion of PI in k
2.818 * [backup-simplify]: Simplify PI into PI
2.818 * [taylor]: Taking taylor expansion of n in k
2.818 * [backup-simplify]: Simplify n into n
2.818 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
2.818 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n))
2.818 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n)))
2.819 * [backup-simplify]: Simplify (- 1) into -1
2.819 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.820 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5
2.820 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n))))
2.820 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))
2.821 * [backup-simplify]: Simplify (* 0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) into 0
2.821 * [backup-simplify]: Simplify (* 1.0 0) into 0
2.821 * [taylor]: Taking taylor expansion of 0 in n
2.821 * [backup-simplify]: Simplify 0 into 0
2.821 * [backup-simplify]: Simplify 0 into 0
2.822 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))
2.823 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (* 0 0)) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))
2.823 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n
2.823 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n
2.823 * [taylor]: Taking taylor expansion of +nan.0 in n
2.823 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.823 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n
2.823 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n
2.823 * [taylor]: Taking taylor expansion of 0.5 in n
2.823 * [backup-simplify]: Simplify 0.5 into 0.5
2.823 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n
2.824 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n
2.824 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n
2.824 * [taylor]: Taking taylor expansion of 2.0 in n
2.824 * [backup-simplify]: Simplify 2.0 into 2.0
2.824 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.824 * [taylor]: Taking taylor expansion of PI in n
2.824 * [backup-simplify]: Simplify PI into PI
2.824 * [taylor]: Taking taylor expansion of n in n
2.824 * [backup-simplify]: Simplify 0 into 0
2.824 * [backup-simplify]: Simplify 1 into 1
2.824 * [backup-simplify]: Simplify (/ PI 1) into PI
2.825 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
2.826 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
2.826 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n
2.826 * [taylor]: Taking taylor expansion of 1.0 in n
2.826 * [backup-simplify]: Simplify 1.0 into 1.0
2.826 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.826 * [taylor]: Taking taylor expansion of k in n
2.826 * [backup-simplify]: Simplify k into k
2.826 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.828 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
2.828 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
2.828 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k))
2.829 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))
2.831 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))
2.832 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))
2.834 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))
2.835 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))
2.837 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))
2.837 * [backup-simplify]: Simplify 0 into 0
2.840 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
2.842 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))
2.843 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (* 0 0))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))
2.843 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n
2.843 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n
2.843 * [taylor]: Taking taylor expansion of +nan.0 in n
2.843 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.843 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n
2.843 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n
2.843 * [taylor]: Taking taylor expansion of 0.5 in n
2.843 * [backup-simplify]: Simplify 0.5 into 0.5
2.843 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n
2.843 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n
2.843 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n
2.843 * [taylor]: Taking taylor expansion of 2.0 in n
2.843 * [backup-simplify]: Simplify 2.0 into 2.0
2.843 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.843 * [taylor]: Taking taylor expansion of PI in n
2.843 * [backup-simplify]: Simplify PI into PI
2.843 * [taylor]: Taking taylor expansion of n in n
2.843 * [backup-simplify]: Simplify 0 into 0
2.844 * [backup-simplify]: Simplify 1 into 1
2.844 * [backup-simplify]: Simplify (/ PI 1) into PI
2.845 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
2.846 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
2.846 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n
2.846 * [taylor]: Taking taylor expansion of 1.0 in n
2.846 * [backup-simplify]: Simplify 1.0 into 1.0
2.846 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.846 * [taylor]: Taking taylor expansion of k in n
2.846 * [backup-simplify]: Simplify k into k
2.846 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.848 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
2.848 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
2.848 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k))
2.850 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))
2.851 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))
2.852 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))
2.854 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))
2.855 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))
2.857 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))
2.858 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
2.859 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
2.859 * [backup-simplify]: Simplify (- 0) into 0
2.859 * [backup-simplify]: Simplify (+ 0 0) into 0
2.860 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
2.861 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0
2.863 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0
2.864 * [backup-simplify]: Simplify (+ (* (- (log (* 2.0 PI)) (log n)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0
2.866 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into 0
2.868 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0
2.870 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into 0
2.870 * [backup-simplify]: Simplify (- 0) into 0
2.870 * [backup-simplify]: Simplify 0 into 0
2.870 * [backup-simplify]: Simplify 0 into 0
2.875 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
2.876 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))
2.878 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (* 0 0)))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))
2.878 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n
2.878 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n
2.878 * [taylor]: Taking taylor expansion of +nan.0 in n
2.878 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.878 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n
2.878 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n
2.878 * [taylor]: Taking taylor expansion of 0.5 in n
2.878 * [backup-simplify]: Simplify 0.5 into 0.5
2.878 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n
2.878 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n
2.878 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n
2.878 * [taylor]: Taking taylor expansion of 2.0 in n
2.878 * [backup-simplify]: Simplify 2.0 into 2.0
2.878 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.878 * [taylor]: Taking taylor expansion of PI in n
2.878 * [backup-simplify]: Simplify PI into PI
2.878 * [taylor]: Taking taylor expansion of n in n
2.878 * [backup-simplify]: Simplify 0 into 0
2.878 * [backup-simplify]: Simplify 1 into 1
2.879 * [backup-simplify]: Simplify (/ PI 1) into PI
2.879 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
2.880 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
2.880 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n
2.880 * [taylor]: Taking taylor expansion of 1.0 in n
2.881 * [backup-simplify]: Simplify 1.0 into 1.0
2.881 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.881 * [taylor]: Taking taylor expansion of k in n
2.881 * [backup-simplify]: Simplify k into k
2.881 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.882 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
2.882 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
2.882 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k))
2.883 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))
2.885 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))
2.886 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))
2.887 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))
2.889 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))
2.890 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))
2.900 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2))))))))
2.902 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 (- k)))) (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (- 1.0 (/ 1 (- k))) 2.0))) into (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))))
2.902 * [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
2.902 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n
2.902 * [taylor]: Taking taylor expansion of 1.0 in n
2.902 * [backup-simplify]: Simplify 1.0 into 1.0
2.902 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n
2.902 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n
2.902 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n
2.902 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n
2.902 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n
2.902 * [taylor]: Taking taylor expansion of 0.5 in n
2.902 * [backup-simplify]: Simplify 0.5 into 0.5
2.902 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n
2.902 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.902 * [taylor]: Taking taylor expansion of k in n
2.902 * [backup-simplify]: Simplify k into k
2.902 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.902 * [taylor]: Taking taylor expansion of 1.0 in n
2.902 * [backup-simplify]: Simplify 1.0 into 1.0
2.902 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n
2.902 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n
2.902 * [taylor]: Taking taylor expansion of -2.0 in n
2.902 * [backup-simplify]: Simplify -2.0 into -2.0
2.902 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.902 * [taylor]: Taking taylor expansion of PI in n
2.902 * [backup-simplify]: Simplify PI into PI
2.902 * [taylor]: Taking taylor expansion of n in n
2.902 * [backup-simplify]: Simplify 0 into 0
2.902 * [backup-simplify]: Simplify 1 into 1
2.903 * [backup-simplify]: Simplify (/ PI 1) into PI
2.904 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
2.905 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI))
2.905 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0)
2.905 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0))
2.906 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
2.908 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))
2.909 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))
2.909 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
2.909 * [taylor]: Taking taylor expansion of (/ -1 k) in n
2.909 * [taylor]: Taking taylor expansion of -1 in n
2.909 * [backup-simplify]: Simplify -1 into -1
2.909 * [taylor]: Taking taylor expansion of k in n
2.909 * [backup-simplify]: Simplify k into k
2.909 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
2.909 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
2.910 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
2.910 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
2.911 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k)))
2.911 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k
2.911 * [taylor]: Taking taylor expansion of 1.0 in k
2.911 * [backup-simplify]: Simplify 1.0 into 1.0
2.911 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k
2.911 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k
2.911 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k
2.911 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k
2.911 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k
2.911 * [taylor]: Taking taylor expansion of 0.5 in k
2.911 * [backup-simplify]: Simplify 0.5 into 0.5
2.912 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k
2.912 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.912 * [taylor]: Taking taylor expansion of k in k
2.912 * [backup-simplify]: Simplify 0 into 0
2.912 * [backup-simplify]: Simplify 1 into 1
2.912 * [backup-simplify]: Simplify (/ 1 1) into 1
2.912 * [taylor]: Taking taylor expansion of 1.0 in k
2.912 * [backup-simplify]: Simplify 1.0 into 1.0
2.912 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k
2.912 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k
2.912 * [taylor]: Taking taylor expansion of -2.0 in k
2.912 * [backup-simplify]: Simplify -2.0 into -2.0
2.912 * [taylor]: Taking taylor expansion of (/ PI n) in k
2.912 * [taylor]: Taking taylor expansion of PI in k
2.912 * [backup-simplify]: Simplify PI into PI
2.912 * [taylor]: Taking taylor expansion of n in k
2.912 * [backup-simplify]: Simplify n into n
2.912 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
2.913 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n))
2.913 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n)))
2.913 * [backup-simplify]: Simplify (+ 1 0) into 1
2.914 * [backup-simplify]: Simplify (* 0.5 1) into 0.5
2.914 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n))))
2.914 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))
2.914 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
2.914 * [taylor]: Taking taylor expansion of (/ -1 k) in k
2.914 * [taylor]: Taking taylor expansion of -1 in k
2.914 * [backup-simplify]: Simplify -1 into -1
2.914 * [taylor]: Taking taylor expansion of k in k
2.914 * [backup-simplify]: Simplify 0 into 0
2.914 * [backup-simplify]: Simplify 1 into 1
2.915 * [backup-simplify]: Simplify (/ -1 1) into -1
2.915 * [backup-simplify]: Simplify (sqrt 0) into 0
2.917 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
2.917 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))
2.917 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k
2.917 * [taylor]: Taking taylor expansion of 1.0 in k
2.917 * [backup-simplify]: Simplify 1.0 into 1.0
2.917 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k
2.917 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k
2.917 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k
2.917 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k
2.917 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k
2.917 * [taylor]: Taking taylor expansion of 0.5 in k
2.917 * [backup-simplify]: Simplify 0.5 into 0.5
2.917 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k
2.917 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.917 * [taylor]: Taking taylor expansion of k in k
2.917 * [backup-simplify]: Simplify 0 into 0
2.917 * [backup-simplify]: Simplify 1 into 1
2.918 * [backup-simplify]: Simplify (/ 1 1) into 1
2.918 * [taylor]: Taking taylor expansion of 1.0 in k
2.918 * [backup-simplify]: Simplify 1.0 into 1.0
2.918 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k
2.918 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k
2.918 * [taylor]: Taking taylor expansion of -2.0 in k
2.918 * [backup-simplify]: Simplify -2.0 into -2.0
2.918 * [taylor]: Taking taylor expansion of (/ PI n) in k
2.918 * [taylor]: Taking taylor expansion of PI in k
2.918 * [backup-simplify]: Simplify PI into PI
2.918 * [taylor]: Taking taylor expansion of n in k
2.918 * [backup-simplify]: Simplify n into n
2.918 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
2.918 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n))
2.919 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n)))
2.919 * [backup-simplify]: Simplify (+ 1 0) into 1
2.920 * [backup-simplify]: Simplify (* 0.5 1) into 0.5
2.920 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n))))
2.920 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))
2.920 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
2.920 * [taylor]: Taking taylor expansion of (/ -1 k) in k
2.920 * [taylor]: Taking taylor expansion of -1 in k
2.920 * [backup-simplify]: Simplify -1 into -1
2.920 * [taylor]: Taking taylor expansion of k in k
2.920 * [backup-simplify]: Simplify 0 into 0
2.920 * [backup-simplify]: Simplify 1 into 1
2.921 * [backup-simplify]: Simplify (/ -1 1) into -1
2.921 * [backup-simplify]: Simplify (sqrt 0) into 0
2.923 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
2.923 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))
2.923 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))
2.923 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n
2.923 * [taylor]: Taking taylor expansion of +nan.0 in n
2.924 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.924 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n
2.924 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n
2.924 * [taylor]: Taking taylor expansion of 0.5 in n
2.924 * [backup-simplify]: Simplify 0.5 into 0.5
2.924 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n
2.924 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n
2.924 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.924 * [taylor]: Taking taylor expansion of k in n
2.924 * [backup-simplify]: Simplify k into k
2.924 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.924 * [taylor]: Taking taylor expansion of 1.0 in n
2.924 * [backup-simplify]: Simplify 1.0 into 1.0
2.924 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n
2.924 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n
2.924 * [taylor]: Taking taylor expansion of -2.0 in n
2.924 * [backup-simplify]: Simplify -2.0 into -2.0
2.924 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.924 * [taylor]: Taking taylor expansion of PI in n
2.924 * [backup-simplify]: Simplify PI into PI
2.924 * [taylor]: Taking taylor expansion of n in n
2.924 * [backup-simplify]: Simplify 0 into 0
2.924 * [backup-simplify]: Simplify 1 into 1
2.925 * [backup-simplify]: Simplify (/ PI 1) into PI
2.925 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
2.926 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI))
2.927 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0)
2.928 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
2.929 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))
2.931 * [backup-simplify]: Simplify (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))
2.932 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))
2.933 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))
2.935 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))
2.936 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.939 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
2.940 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))
2.941 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))
2.941 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n
2.941 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n
2.941 * [taylor]: Taking taylor expansion of +nan.0 in n
2.941 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.941 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n
2.941 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n
2.941 * [taylor]: Taking taylor expansion of 0.5 in n
2.941 * [backup-simplify]: Simplify 0.5 into 0.5
2.941 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n
2.941 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n
2.941 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.941 * [taylor]: Taking taylor expansion of k in n
2.941 * [backup-simplify]: Simplify k into k
2.941 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.941 * [taylor]: Taking taylor expansion of 1.0 in n
2.942 * [backup-simplify]: Simplify 1.0 into 1.0
2.942 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n
2.942 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n
2.942 * [taylor]: Taking taylor expansion of -2.0 in n
2.942 * [backup-simplify]: Simplify -2.0 into -2.0
2.942 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.942 * [taylor]: Taking taylor expansion of PI in n
2.942 * [backup-simplify]: Simplify PI into PI
2.942 * [taylor]: Taking taylor expansion of n in n
2.942 * [backup-simplify]: Simplify 0 into 0
2.942 * [backup-simplify]: Simplify 1 into 1
2.942 * [backup-simplify]: Simplify (/ PI 1) into PI
2.943 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
2.944 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI))
2.944 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0)
2.946 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
2.948 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))
2.949 * [backup-simplify]: Simplify (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))
2.950 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))
2.952 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))
2.953 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))))
2.955 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))))
2.956 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
2.957 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0
2.959 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0
2.959 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
2.959 * [backup-simplify]: Simplify (+ 0 0) into 0
2.961 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
2.962 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0
2.964 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into 0
2.966 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
2.968 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into 0
2.968 * [backup-simplify]: Simplify 0 into 0
2.969 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.973 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
2.975 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))
2.976 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))
2.977 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n
2.977 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n
2.977 * [taylor]: Taking taylor expansion of +nan.0 in n
2.977 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.977 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n
2.977 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n
2.977 * [taylor]: Taking taylor expansion of 0.5 in n
2.977 * [backup-simplify]: Simplify 0.5 into 0.5
2.977 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n
2.977 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n
2.977 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.977 * [taylor]: Taking taylor expansion of k in n
2.977 * [backup-simplify]: Simplify k into k
2.977 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.977 * [taylor]: Taking taylor expansion of 1.0 in n
2.977 * [backup-simplify]: Simplify 1.0 into 1.0
2.977 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n
2.977 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n
2.977 * [taylor]: Taking taylor expansion of -2.0 in n
2.977 * [backup-simplify]: Simplify -2.0 into -2.0
2.977 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.977 * [taylor]: Taking taylor expansion of PI in n
2.977 * [backup-simplify]: Simplify PI into PI
2.977 * [taylor]: Taking taylor expansion of n in n
2.977 * [backup-simplify]: Simplify 0 into 0
2.977 * [backup-simplify]: Simplify 1 into 1
2.978 * [backup-simplify]: Simplify (/ PI 1) into PI
2.979 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
2.980 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI))
2.980 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0)
2.981 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
2.983 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))
2.984 * [backup-simplify]: Simplify (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))
2.985 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))
2.987 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))
2.988 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))))
2.990 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))))
2.995 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))))))))
2.995 * * * * [progress]: [ 4 / 4 ] generating series at (2 2)
2.996 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))
2.996 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0
2.996 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k
2.996 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k
2.996 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k
2.996 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k
2.996 * [taylor]: Taking taylor expansion of 0.5 in k
2.996 * [backup-simplify]: Simplify 0.5 into 0.5
2.996 * [taylor]: Taking taylor expansion of (- 1.0 k) in k
2.996 * [taylor]: Taking taylor expansion of 1.0 in k
2.996 * [backup-simplify]: Simplify 1.0 into 1.0
2.996 * [taylor]: Taking taylor expansion of k in k
2.996 * [backup-simplify]: Simplify 0 into 0
2.996 * [backup-simplify]: Simplify 1 into 1
2.996 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k
2.996 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k
2.996 * [taylor]: Taking taylor expansion of 2.0 in k
2.996 * [backup-simplify]: Simplify 2.0 into 2.0
2.996 * [taylor]: Taking taylor expansion of (* n PI) in k
2.996 * [taylor]: Taking taylor expansion of n in k
2.996 * [backup-simplify]: Simplify n into n
2.996 * [taylor]: Taking taylor expansion of PI in k
2.996 * [backup-simplify]: Simplify PI into PI
2.997 * [backup-simplify]: Simplify (* n PI) into (* n PI)
2.997 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI))
2.997 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI)))
2.997 * [backup-simplify]: Simplify (- 0) into 0
2.998 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
2.998 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5
2.998 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI))))
2.998 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5)
2.999 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n
2.999 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n
2.999 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n
2.999 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n
2.999 * [taylor]: Taking taylor expansion of 0.5 in n
2.999 * [backup-simplify]: Simplify 0.5 into 0.5
2.999 * [taylor]: Taking taylor expansion of (- 1.0 k) in n
2.999 * [taylor]: Taking taylor expansion of 1.0 in n
2.999 * [backup-simplify]: Simplify 1.0 into 1.0
2.999 * [taylor]: Taking taylor expansion of k in n
2.999 * [backup-simplify]: Simplify k into k
2.999 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n
2.999 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n
2.999 * [taylor]: Taking taylor expansion of 2.0 in n
2.999 * [backup-simplify]: Simplify 2.0 into 2.0
2.999 * [taylor]: Taking taylor expansion of (* n PI) in n
2.999 * [taylor]: Taking taylor expansion of n in n
2.999 * [backup-simplify]: Simplify 0 into 0
2.999 * [backup-simplify]: Simplify 1 into 1
2.999 * [taylor]: Taking taylor expansion of PI in n
2.999 * [backup-simplify]: Simplify PI into PI
3.000 * [backup-simplify]: Simplify (* 0 PI) into 0
3.000 * [backup-simplify]: Simplify (* 2.0 0) into 0
3.002 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
3.004 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI)
3.005 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
3.005 * [backup-simplify]: Simplify (- k) into (- k)
3.005 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k)
3.005 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k))
3.007 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
3.009 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))
3.010 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))))
3.010 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n
3.010 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n
3.010 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n
3.010 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n
3.010 * [taylor]: Taking taylor expansion of 0.5 in n
3.010 * [backup-simplify]: Simplify 0.5 into 0.5
3.010 * [taylor]: Taking taylor expansion of (- 1.0 k) in n
3.010 * [taylor]: Taking taylor expansion of 1.0 in n
3.010 * [backup-simplify]: Simplify 1.0 into 1.0
3.010 * [taylor]: Taking taylor expansion of k in n
3.010 * [backup-simplify]: Simplify k into k
3.010 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n
3.010 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n
3.010 * [taylor]: Taking taylor expansion of 2.0 in n
3.011 * [backup-simplify]: Simplify 2.0 into 2.0
3.011 * [taylor]: Taking taylor expansion of (* n PI) in n
3.011 * [taylor]: Taking taylor expansion of n in n
3.011 * [backup-simplify]: Simplify 0 into 0
3.011 * [backup-simplify]: Simplify 1 into 1
3.011 * [taylor]: Taking taylor expansion of PI in n
3.011 * [backup-simplify]: Simplify PI into PI
3.011 * [backup-simplify]: Simplify (* 0 PI) into 0
3.012 * [backup-simplify]: Simplify (* 2.0 0) into 0
3.014 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
3.017 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI)
3.019 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
3.019 * [backup-simplify]: Simplify (- k) into (- k)
3.019 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k)
3.019 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k))
3.020 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
3.022 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))
3.023 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))))
3.023 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k
3.024 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k
3.024 * [taylor]: Taking taylor expansion of 0.5 in k
3.024 * [backup-simplify]: Simplify 0.5 into 0.5
3.024 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k
3.024 * [taylor]: Taking taylor expansion of (- 1.0 k) in k
3.024 * [taylor]: Taking taylor expansion of 1.0 in k
3.024 * [backup-simplify]: Simplify 1.0 into 1.0
3.024 * [taylor]: Taking taylor expansion of k in k
3.024 * [backup-simplify]: Simplify 0 into 0
3.024 * [backup-simplify]: Simplify 1 into 1
3.024 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k
3.024 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k
3.024 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k
3.024 * [taylor]: Taking taylor expansion of 2.0 in k
3.024 * [backup-simplify]: Simplify 2.0 into 2.0
3.024 * [taylor]: Taking taylor expansion of PI in k
3.024 * [backup-simplify]: Simplify PI into PI
3.025 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
3.026 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
3.026 * [taylor]: Taking taylor expansion of (log n) in k
3.026 * [taylor]: Taking taylor expansion of n in k
3.026 * [backup-simplify]: Simplify n into n
3.026 * [backup-simplify]: Simplify (log n) into (log n)
3.027 * [backup-simplify]: Simplify (- 0) into 0
3.027 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
3.029 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n))
3.030 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n)))
3.031 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n)))
3.033 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))
3.034 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))
3.035 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
3.036 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0
3.038 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0
3.039 * [backup-simplify]: Simplify (- 0) into 0
3.039 * [backup-simplify]: Simplify (+ 0 0) into 0
3.040 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0
3.042 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
3.044 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0
3.047 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
3.047 * [taylor]: Taking taylor expansion of 0 in k
3.047 * [backup-simplify]: Simplify 0 into 0
3.047 * [backup-simplify]: Simplify 0 into 0
3.048 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0
3.050 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0
3.051 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
3.052 * [backup-simplify]: Simplify (+ 0 0) into 0
3.052 * [backup-simplify]: Simplify (- 1) into -1
3.053 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.055 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n)))
3.057 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n))))) into (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))))
3.061 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 1) 1)))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))
3.065 * [backup-simplify]: Simplify (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))
3.066 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
3.067 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
3.075 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0
3.076 * [backup-simplify]: Simplify (- 0) into 0
3.076 * [backup-simplify]: Simplify (+ 0 0) into 0
3.077 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0
3.078 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
3.080 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0
3.082 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.083 * [taylor]: Taking taylor expansion of 0 in k
3.083 * [backup-simplify]: Simplify 0 into 0
3.083 * [backup-simplify]: Simplify 0 into 0
3.083 * [backup-simplify]: Simplify 0 into 0
3.084 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0
3.087 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0
3.089 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
3.090 * [backup-simplify]: Simplify (+ 0 0) into 0
3.090 * [backup-simplify]: Simplify (- 0) into 0
3.091 * [backup-simplify]: Simplify (+ 0 0) into 0
3.092 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0
3.095 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0
3.099 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n))))))
3.105 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n))))))
3.116 * [backup-simplify]: Simplify (+ (* (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (* k 1)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))))
3.117 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 n)) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))
3.117 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0
3.117 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k
3.117 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k
3.117 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k
3.117 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k
3.117 * [taylor]: Taking taylor expansion of 0.5 in k
3.117 * [backup-simplify]: Simplify 0.5 into 0.5
3.117 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k
3.117 * [taylor]: Taking taylor expansion of 1.0 in k
3.117 * [backup-simplify]: Simplify 1.0 into 1.0
3.117 * [taylor]: Taking taylor expansion of (/ 1 k) in k
3.117 * [taylor]: Taking taylor expansion of k in k
3.117 * [backup-simplify]: Simplify 0 into 0
3.117 * [backup-simplify]: Simplify 1 into 1
3.118 * [backup-simplify]: Simplify (/ 1 1) into 1
3.118 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k
3.118 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k
3.118 * [taylor]: Taking taylor expansion of 2.0 in k
3.118 * [backup-simplify]: Simplify 2.0 into 2.0
3.118 * [taylor]: Taking taylor expansion of (/ PI n) in k
3.118 * [taylor]: Taking taylor expansion of PI in k
3.118 * [backup-simplify]: Simplify PI into PI
3.118 * [taylor]: Taking taylor expansion of n in k
3.118 * [backup-simplify]: Simplify n into n
3.118 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
3.118 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n))
3.118 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n)))
3.119 * [backup-simplify]: Simplify (- 1) into -1
3.119 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.120 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5
3.120 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n))))
3.120 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))
3.120 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n
3.120 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n
3.120 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n
3.120 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n
3.120 * [taylor]: Taking taylor expansion of 0.5 in n
3.120 * [backup-simplify]: Simplify 0.5 into 0.5
3.120 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n
3.120 * [taylor]: Taking taylor expansion of 1.0 in n
3.120 * [backup-simplify]: Simplify 1.0 into 1.0
3.121 * [taylor]: Taking taylor expansion of (/ 1 k) in n
3.121 * [taylor]: Taking taylor expansion of k in n
3.121 * [backup-simplify]: Simplify k into k
3.121 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
3.121 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n
3.121 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n
3.121 * [taylor]: Taking taylor expansion of 2.0 in n
3.121 * [backup-simplify]: Simplify 2.0 into 2.0
3.121 * [taylor]: Taking taylor expansion of (/ PI n) in n
3.121 * [taylor]: Taking taylor expansion of PI in n
3.121 * [backup-simplify]: Simplify PI into PI
3.121 * [taylor]: Taking taylor expansion of n in n
3.121 * [backup-simplify]: Simplify 0 into 0
3.121 * [backup-simplify]: Simplify 1 into 1
3.122 * [backup-simplify]: Simplify (/ PI 1) into PI
3.122 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
3.124 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
3.124 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
3.124 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k))
3.124 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k)))
3.126 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
3.127 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))
3.128 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))
3.128 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n
3.128 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n
3.128 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n
3.128 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n
3.128 * [taylor]: Taking taylor expansion of 0.5 in n
3.128 * [backup-simplify]: Simplify 0.5 into 0.5
3.128 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n
3.128 * [taylor]: Taking taylor expansion of 1.0 in n
3.129 * [backup-simplify]: Simplify 1.0 into 1.0
3.129 * [taylor]: Taking taylor expansion of (/ 1 k) in n
3.129 * [taylor]: Taking taylor expansion of k in n
3.129 * [backup-simplify]: Simplify k into k
3.129 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
3.129 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n
3.129 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n
3.129 * [taylor]: Taking taylor expansion of 2.0 in n
3.129 * [backup-simplify]: Simplify 2.0 into 2.0
3.129 * [taylor]: Taking taylor expansion of (/ PI n) in n
3.129 * [taylor]: Taking taylor expansion of PI in n
3.129 * [backup-simplify]: Simplify PI into PI
3.129 * [taylor]: Taking taylor expansion of n in n
3.129 * [backup-simplify]: Simplify 0 into 0
3.129 * [backup-simplify]: Simplify 1 into 1
3.130 * [backup-simplify]: Simplify (/ PI 1) into PI
3.130 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
3.131 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
3.131 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
3.131 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k))
3.131 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k)))
3.133 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
3.134 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))
3.136 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))
3.136 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k
3.136 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k
3.136 * [taylor]: Taking taylor expansion of 0.5 in k
3.136 * [backup-simplify]: Simplify 0.5 into 0.5
3.136 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k
3.136 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k
3.136 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k
3.136 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k
3.136 * [taylor]: Taking taylor expansion of 2.0 in k
3.136 * [backup-simplify]: Simplify 2.0 into 2.0
3.136 * [taylor]: Taking taylor expansion of PI in k
3.136 * [backup-simplify]: Simplify PI into PI
3.137 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
3.138 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
3.138 * [taylor]: Taking taylor expansion of (log n) in k
3.138 * [taylor]: Taking taylor expansion of n in k
3.138 * [backup-simplify]: Simplify n into n
3.138 * [backup-simplify]: Simplify (log n) into (log n)
3.138 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k
3.138 * [taylor]: Taking taylor expansion of 1.0 in k
3.138 * [backup-simplify]: Simplify 1.0 into 1.0
3.138 * [taylor]: Taking taylor expansion of (/ 1 k) in k
3.138 * [taylor]: Taking taylor expansion of k in k
3.138 * [backup-simplify]: Simplify 0 into 0
3.138 * [backup-simplify]: Simplify 1 into 1
3.138 * [backup-simplify]: Simplify (/ 1 1) into 1
3.139 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
3.140 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n))
3.140 * [backup-simplify]: Simplify (- 1) into -1
3.140 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.142 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n)))
3.143 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n)))
3.144 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))
3.146 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))
3.147 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
3.147 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0
3.149 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0
3.149 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
3.150 * [backup-simplify]: Simplify (- 0) into 0
3.150 * [backup-simplify]: Simplify (+ 0 0) into 0
3.151 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0
3.152 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
3.154 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0
3.156 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0
3.156 * [taylor]: Taking taylor expansion of 0 in k
3.156 * [backup-simplify]: Simplify 0 into 0
3.156 * [backup-simplify]: Simplify 0 into 0
3.156 * [backup-simplify]: Simplify 0 into 0
3.157 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.158 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0
3.162 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0
3.162 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
3.163 * [backup-simplify]: Simplify (- 0) into 0
3.163 * [backup-simplify]: Simplify (+ 0 0) into 0
3.164 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0
3.165 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
3.167 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0
3.170 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.170 * [taylor]: Taking taylor expansion of 0 in k
3.170 * [backup-simplify]: Simplify 0 into 0
3.170 * [backup-simplify]: Simplify 0 into 0
3.170 * [backup-simplify]: Simplify 0 into 0
3.170 * [backup-simplify]: Simplify 0 into 0
3.171 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.173 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
3.179 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0
3.179 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
3.180 * [backup-simplify]: Simplify (- 0) into 0
3.180 * [backup-simplify]: Simplify (+ 0 0) into 0
3.181 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0
3.183 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
3.185 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0
3.188 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
3.188 * [taylor]: Taking taylor expansion of 0 in k
3.188 * [backup-simplify]: Simplify 0 into 0
3.188 * [backup-simplify]: Simplify 0 into 0
3.190 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k))))
3.191 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))
3.191 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0
3.191 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k
3.191 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k
3.191 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k
3.191 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k
3.191 * [taylor]: Taking taylor expansion of 0.5 in k
3.191 * [backup-simplify]: Simplify 0.5 into 0.5
3.191 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k
3.191 * [taylor]: Taking taylor expansion of (/ 1 k) in k
3.191 * [taylor]: Taking taylor expansion of k in k
3.191 * [backup-simplify]: Simplify 0 into 0
3.191 * [backup-simplify]: Simplify 1 into 1
3.191 * [backup-simplify]: Simplify (/ 1 1) into 1
3.191 * [taylor]: Taking taylor expansion of 1.0 in k
3.191 * [backup-simplify]: Simplify 1.0 into 1.0
3.191 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k
3.192 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k
3.192 * [taylor]: Taking taylor expansion of -2.0 in k
3.192 * [backup-simplify]: Simplify -2.0 into -2.0
3.192 * [taylor]: Taking taylor expansion of (/ PI n) in k
3.192 * [taylor]: Taking taylor expansion of PI in k
3.192 * [backup-simplify]: Simplify PI into PI
3.192 * [taylor]: Taking taylor expansion of n in k
3.192 * [backup-simplify]: Simplify n into n
3.192 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
3.192 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n))
3.192 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n)))
3.193 * [backup-simplify]: Simplify (+ 1 0) into 1
3.193 * [backup-simplify]: Simplify (* 0.5 1) into 0.5
3.193 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n))))
3.193 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))
3.193 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n
3.193 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n
3.194 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n
3.194 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n
3.194 * [taylor]: Taking taylor expansion of 0.5 in n
3.194 * [backup-simplify]: Simplify 0.5 into 0.5
3.194 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n
3.194 * [taylor]: Taking taylor expansion of (/ 1 k) in n
3.194 * [taylor]: Taking taylor expansion of k in n
3.194 * [backup-simplify]: Simplify k into k
3.194 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
3.194 * [taylor]: Taking taylor expansion of 1.0 in n
3.194 * [backup-simplify]: Simplify 1.0 into 1.0
3.194 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n
3.194 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n
3.194 * [taylor]: Taking taylor expansion of -2.0 in n
3.194 * [backup-simplify]: Simplify -2.0 into -2.0
3.194 * [taylor]: Taking taylor expansion of (/ PI n) in n
3.194 * [taylor]: Taking taylor expansion of PI in n
3.194 * [backup-simplify]: Simplify PI into PI
3.194 * [taylor]: Taking taylor expansion of n in n
3.194 * [backup-simplify]: Simplify 0 into 0
3.194 * [backup-simplify]: Simplify 1 into 1
3.195 * [backup-simplify]: Simplify (/ PI 1) into PI
3.195 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
3.196 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI))
3.197 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0)
3.197 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0))
3.198 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
3.200 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))
3.201 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))
3.201 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n
3.201 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n
3.201 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n
3.201 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n
3.201 * [taylor]: Taking taylor expansion of 0.5 in n
3.201 * [backup-simplify]: Simplify 0.5 into 0.5
3.201 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n
3.201 * [taylor]: Taking taylor expansion of (/ 1 k) in n
3.201 * [taylor]: Taking taylor expansion of k in n
3.201 * [backup-simplify]: Simplify k into k
3.201 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
3.201 * [taylor]: Taking taylor expansion of 1.0 in n
3.202 * [backup-simplify]: Simplify 1.0 into 1.0
3.202 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n
3.202 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n
3.202 * [taylor]: Taking taylor expansion of -2.0 in n
3.202 * [backup-simplify]: Simplify -2.0 into -2.0
3.202 * [taylor]: Taking taylor expansion of (/ PI n) in n
3.202 * [taylor]: Taking taylor expansion of PI in n
3.202 * [backup-simplify]: Simplify PI into PI
3.202 * [taylor]: Taking taylor expansion of n in n
3.202 * [backup-simplify]: Simplify 0 into 0
3.202 * [backup-simplify]: Simplify 1 into 1
3.202 * [backup-simplify]: Simplify (/ PI 1) into PI
3.203 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
3.204 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI))
3.204 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0)
3.204 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0))
3.206 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
3.207 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))
3.209 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))
3.209 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k
3.209 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k
3.209 * [taylor]: Taking taylor expansion of 0.5 in k
3.209 * [backup-simplify]: Simplify 0.5 into 0.5
3.209 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k
3.209 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k
3.209 * [taylor]: Taking taylor expansion of (/ 1 k) in k
3.209 * [taylor]: Taking taylor expansion of k in k
3.209 * [backup-simplify]: Simplify 0 into 0
3.209 * [backup-simplify]: Simplify 1 into 1
3.210 * [backup-simplify]: Simplify (/ 1 1) into 1
3.210 * [taylor]: Taking taylor expansion of 1.0 in k
3.210 * [backup-simplify]: Simplify 1.0 into 1.0
3.210 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k
3.210 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k
3.210 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k
3.210 * [taylor]: Taking taylor expansion of -2.0 in k
3.210 * [backup-simplify]: Simplify -2.0 into -2.0
3.210 * [taylor]: Taking taylor expansion of PI in k
3.210 * [backup-simplify]: Simplify PI into PI
3.211 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
3.212 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI))
3.212 * [taylor]: Taking taylor expansion of (log n) in k
3.212 * [taylor]: Taking taylor expansion of n in k
3.212 * [backup-simplify]: Simplify n into n
3.212 * [backup-simplify]: Simplify (log n) into (log n)
3.212 * [backup-simplify]: Simplify (+ 1 0) into 1
3.212 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
3.214 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n))
3.215 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n))
3.216 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n)))
3.217 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))
3.219 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))
3.220 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
3.221 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0
3.223 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0
3.223 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
3.223 * [backup-simplify]: Simplify (+ 0 0) into 0
3.224 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0
3.225 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
3.227 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0
3.229 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
3.229 * [taylor]: Taking taylor expansion of 0 in k
3.229 * [backup-simplify]: Simplify 0 into 0
3.229 * [backup-simplify]: Simplify 0 into 0
3.229 * [backup-simplify]: Simplify 0 into 0
3.230 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.231 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0
3.240 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0
3.240 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
3.241 * [backup-simplify]: Simplify (+ 0 0) into 0
3.241 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0
3.243 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
3.245 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0
3.247 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.247 * [taylor]: Taking taylor expansion of 0 in k
3.247 * [backup-simplify]: Simplify 0 into 0
3.247 * [backup-simplify]: Simplify 0 into 0
3.248 * [backup-simplify]: Simplify 0 into 0
3.248 * [backup-simplify]: Simplify 0 into 0
3.249 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.250 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
3.256 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2.0 PI) 1)))) 6) into 0
3.257 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
3.257 * [backup-simplify]: Simplify (+ 0 0) into 0
3.259 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0
3.260 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
3.262 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0
3.265 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
3.265 * [taylor]: Taking taylor expansion of 0 in k
3.265 * [backup-simplify]: Simplify 0 into 0
3.265 * [backup-simplify]: Simplify 0 into 0
3.267 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))) into (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))
3.267 * * * [progress]: simplifying candidates
3.272 * [simplify]: Simplifying:
  (expm1 (* (* 2.0 PI) n))
  (log1p (* (* 2.0 PI) n))
  (* (* 2.0 PI) n)
  (* (* 2.0 PI) n)
  (+ (+ (log 2.0) (log PI)) (log n))
  (+ (log (* 2.0 PI)) (log n))
  (log (* (* 2.0 PI) n))
  (exp (* (* 2.0 PI) n))
  (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n))
  (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n))
  (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n)))
  (cbrt (* (* 2.0 PI) n))
  (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n))
  (sqrt (* (* 2.0 PI) n))
  (sqrt (* (* 2.0 PI) n))
  (* (* 2.0 PI) (* (cbrt n) (cbrt n)))
  (* (* 2.0 PI) (sqrt n))
  (* (* 2.0 PI) 1)
  (* PI n)
  (expm1 (/ 1.0 (sqrt k)))
  (log1p (/ 1.0 (sqrt k)))
  (- (log 1.0) (log (sqrt k)))
  (log (/ 1.0 (sqrt k)))
  (exp (/ 1.0 (sqrt k)))
  (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k)))
  (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k))))
  (cbrt (/ 1.0 (sqrt k)))
  (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k)))
  (sqrt (/ 1.0 (sqrt k)))
  (sqrt (/ 1.0 (sqrt k)))
  (- 1.0)
  (- (sqrt k))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (cbrt 1.0) (cbrt (sqrt k)))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k))))
  (/ (cbrt 1.0) (sqrt (cbrt k)))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k)))
  (/ (cbrt 1.0) (sqrt (sqrt k)))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1))
  (/ (cbrt 1.0) (sqrt k))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k)))
  (/ (cbrt 1.0) (sqrt (sqrt k)))
  (/ (* (cbrt 1.0) (cbrt 1.0)) 1)
  (/ (cbrt 1.0) (sqrt k))
  (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt 1.0) (cbrt (sqrt k)))
  (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k))))
  (/ (sqrt 1.0) (sqrt (cbrt k)))
  (/ (sqrt 1.0) (sqrt (sqrt k)))
  (/ (sqrt 1.0) (sqrt (sqrt k)))
  (/ (sqrt 1.0) (sqrt 1))
  (/ (sqrt 1.0) (sqrt k))
  (/ (sqrt 1.0) (sqrt (sqrt k)))
  (/ (sqrt 1.0) (sqrt (sqrt k)))
  (/ (sqrt 1.0) 1)
  (/ (sqrt 1.0) (sqrt k))
  (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ 1.0 (cbrt (sqrt k)))
  (/ 1 (sqrt (* (cbrt k) (cbrt k))))
  (/ 1.0 (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ 1.0 (sqrt (sqrt k)))
  (/ 1 (sqrt 1))
  (/ 1.0 (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ 1.0 (sqrt (sqrt k)))
  (/ 1 1)
  (/ 1.0 (sqrt k))
  (/ 1 (sqrt k))
  (/ (sqrt k) 1.0)
  (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ 1.0 (sqrt (* (cbrt k) (cbrt k))))
  (/ 1.0 (sqrt (sqrt k)))
  (/ 1.0 (sqrt 1))
  (/ 1.0 (sqrt (sqrt k)))
  (/ 1.0 1)
  (/ (sqrt k) (cbrt 1.0))
  (/ (sqrt k) (sqrt 1.0))
  (/ (sqrt k) 1.0)
  (expm1 (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (log1p (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)))
  (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)))
  (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)))
  (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)))
  (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)))
  (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)))
  (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)))
  (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)))
  (+ (log (/ 1.0 (sqrt k))) (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 (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (cbrt (* (/ 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))) (* (/ 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))))
  (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))
  (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))
  (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))
  (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (* (/ 1.0 (sqrt k)) 1)
  (* (/ 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)))
  (* (/ 1 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (/ 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)))
  (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))
  (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))
  (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))
  (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))
  (* 1 (/ (- 1.0 k) 2.0))
  (* 1 (/ (- 1.0 k) 2.0))
  (* 1 (/ (- 1.0 k) 2.0))
  (pow (* (* 2.0 PI) n) (/ 1.0 2.0))
  (pow (* (* 2.0 PI) n) (/ k 2.0))
  (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))))
  (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0)))
  (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)))
  (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1))
  (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0)))
  (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1))
  (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0)))
  (pow (* (* 2.0 PI) n) (/ 1 1))
  (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)))
  (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))
  (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0)))
  (pow (* (* 2.0 PI) n) (/ 1 1))
  (pow (* (* 2.0 PI) n) 1)
  (pow (* (* 2.0 PI) n) (- 1.0 k))
  (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))
  (pow n (/ (- 1.0 k) 2.0))
  (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))
  (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))
  (* 2.0 (* n PI))
  (* 2.0 (* n PI))
  (* 2.0 (* n PI))
  (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0)))))
  (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3))))))))
  (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0)))))
  (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))))))))))))))
  (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2))))))))
  (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))))))))
  (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))))
  (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k))))
  (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))
3.281 * * [simplify]: Extracting # 0 : cost  0
3.282 * * [simplify]: Extracting # 1 : cost  0
3.282 * * [simplify]: Extracting # 2 : cost  0
3.283 * * [simplify]: Extracting # 3 : cost  0
3.284 * * [simplify]: Extracting # 4 : cost  0
3.285 * * [simplify]: Extracting # 5 : cost  0
3.286 * * [simplify]: Extracting # 6 : cost  0
3.287 * * [simplify]: Extracting # 7 : cost  0
3.289 * * [simplify]: Extracting # 8 : cost  0
3.290 * * [simplify]: Extracting # 9 : cost  0
3.291 * * [simplify]: Extracting # 10 : cost  0
3.292 * * [simplify]: Extracting # 11 : cost  0
3.294 * * [simplify]: Extracting # 12 : cost  0
3.295 * * [simplify]: Extracting # 13 : cost  0
3.296 * * [simplify]: Extracting # 14 : cost  0
3.298 * * [simplify]: Extracting # 15 : cost  0
3.299 * * [simplify]: Extracting # 16 : cost  0
3.300 * * [simplify]: Extracting # 17 : cost  0
3.302 * * [simplify]: Extracting # 18 : cost  0
3.304 * * [simplify]: Extracting # 19 : cost  0
3.305 * * [simplify]: Extracting # 20 : cost  0
3.306 * * [simplify]: Extracting # 21 : cost  0
3.307 * * [simplify]: Extracting # 22 : cost  0
3.308 * * [simplify]: Extracting # 23 : cost  0
3.309 * * [simplify]: Extracting # 24 : cost  0
3.311 * * [simplify]: Extracting # 25 : cost  0
3.313 * * [simplify]: Extracting # 26 : cost  0
3.315 * * [simplify]: Extracting # 27 : cost  0
3.317 * * [simplify]: Extracting # 28 : cost  0
3.318 * * [simplify]: Extracting # 29 : cost  0
3.320 * * [simplify]: Extracting # 30 : cost  0
3.322 * * [simplify]: iteration  0 :  369  enodes  (cost  2880 )
3.518 * * [simplify]: Extracting # 0 : cost  0
3.528 * * [simplify]: Extracting # 1 : cost  0
3.531 * * [simplify]: Extracting # 2 : cost  0
3.534 * * [simplify]: Extracting # 3 : cost  0
3.537 * * [simplify]: Extracting # 4 : cost  0
3.540 * * [simplify]: Extracting # 5 : cost  0
3.543 * * [simplify]: Extracting # 6 : cost  0
3.546 * * [simplify]: Extracting # 7 : cost  0
3.549 * * [simplify]: iteration  1 :  1039  enodes  (cost  2712 )
4.622 * * [simplify]: Extracting # 0 : cost  0
4.634 * * [simplify]: Extracting # 1 : cost  0
4.647 * * [simplify]: Extracting # 2 : cost  0
4.661 * * [simplify]: Extracting # 3 : cost  0
4.678 * * [simplify]: Extracting # 4 : cost  0
4.691 * * [simplify]: Extracting # 5 : cost  0
4.704 * * [simplify]: iteration  2 :  4945  enodes  (cost  2552 )
6.937 * * [simplify]: Extracting # 0 : cost  0
6.949 * * [simplify]: Extracting # 1 : cost  0
6.967 * * [simplify]: Extracting # 2 : cost  0
6.979 * * [simplify]: Extracting # 3 : cost  0
6.991 * * [simplify]: iteration done:  5000  enodes  (cost  2550 )
6.993 * [simplify]: Simplified to:
  (expm1 (* (* 2.0 PI) n))
  (log1p (* (* 2.0 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)
  (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)
  (* PI n)
  (expm1 (/ 1.0 (sqrt k)))
  (log1p (/ 1.0 (sqrt k)))
  (log (/ 1.0 (sqrt k)))
  (log (/ 1.0 (sqrt k)))
  (exp (/ 1.0 (sqrt k)))
  (/ (/ (pow 1.0 3) k) (sqrt k))
  (* (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) (cbrt 1.0)) (fabs (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))
  (/ (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)
  (expm1 (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (log1p (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (log (* (/ 1.0 (sqrt k)) (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))))
  (log (* (/ 1.0 (sqrt k)) (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))))
  (log (* (/ 1.0 (sqrt k)) (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))))
  (log (* (/ 1.0 (sqrt k)) (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))))
  (log (* (/ 1.0 (sqrt k)) (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))))
  (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))))
  (* (/ (/ (pow 1.0 3) k) (sqrt k)) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3))
  (* (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (pow (/ 1.0 (sqrt k)) 3))
  (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3)
  (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))
  (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))
  (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))
  (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ 1.0 (sqrt k))
  (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k))
  (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))
  (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (/ (- 1.0 k) 2.0)
  (/ (- 1.0 k) 2.0)
  (/ (- 1.0 k) 2.0)
  (pow (* (* 2.0 PI) n) (/ 1.0 2.0))
  (pow (* (* 2.0 PI) n) (/ k 2.0))
  (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))))
  (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0)))
  (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)))
  (pow (* (* 2.0 PI) n) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))))
  (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)))
  (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0)))
  (* (* 2.0 PI) n)
  (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)))
  (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k)))
  (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0)))
  (* (* 2.0 PI) n)
  (* (* 2.0 PI) n)
  (pow (* (* 2.0 PI) n) (- 1.0 k))
  (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))
  (pow n (/ (- 1.0 k) 2.0))
  (log (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 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3)
  (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))
  (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))
  (* (* 2.0 PI) n)
  (* (* 2.0 PI) n)
  (* (* 2.0 PI) n)
  (- (- (* +nan.0 k) (- (* +nan.0 (pow k 2)) +nan.0)))
  (- (+ (- (/ +nan.0 (pow k 2)) (/ +nan.0 k)) (/ +nan.0 (pow k 3))))
  (+ (- (/ +nan.0 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)))) (fma +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (+ (- (* +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)))) (fma (* +nan.0 (* (pow k 2) (log n))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (fma (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- +nan.0) (- (* +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)) (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))
  (+ (- (* +nan.0 (/ (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) (pow k 3)))) (* +nan.0 (- (/ (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) k) (/ (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) (pow k 2)))))
  (+ (* +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))))
  (- (+ (fma 0.25 (* (* (* (log (* 2.0 PI)) (pow (* (* 2.0 PI) n) 0.5)) (log n)) (pow k 2)) (pow (* (* 2.0 PI) n) 0.5)) (* (* 0.125 (pow k 2)) (+ (* (pow (log (* 2.0 PI)) 2) (pow (* (* 2.0 PI) n) 0.5)) (* (pow (log n) 2) (pow (* (* 2.0 PI) n) 0.5))))) (* 0.5 (* k (fma (log (* 2.0 PI)) (pow (* (* 2.0 PI) n) 0.5) (* (log n) (pow (* (* 2.0 PI) n) 0.5))))))
  (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k))
  (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))
6.996 * * * [progress]: adding candidates to table
8.039 * * [progress]: iteration 2 / 4
8.039 * * * [progress]: picking best candidate
8.108 * * * * [pick]: Picked  #<alt (λ (k n) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))>
8.108 * * * [progress]: localizing error
8.146 * * * [progress]: generating rewritten candidates
8.146 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2 1)
8.183 * * * * [progress]: [ 2 / 3 ] rewriting at (2)
8.220 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 2)
8.265 * * * [progress]: generating series expansions
8.265 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2 1)
8.266 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI))
8.266 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0
8.266 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n
8.266 * [taylor]: Taking taylor expansion of 2.0 in n
8.266 * [backup-simplify]: Simplify 2.0 into 2.0
8.266 * [taylor]: Taking taylor expansion of (* n PI) in n
8.266 * [taylor]: Taking taylor expansion of n in n
8.266 * [backup-simplify]: Simplify 0 into 0
8.267 * [backup-simplify]: Simplify 1 into 1
8.267 * [taylor]: Taking taylor expansion of PI in n
8.267 * [backup-simplify]: Simplify PI into PI
8.267 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n
8.267 * [taylor]: Taking taylor expansion of 2.0 in n
8.267 * [backup-simplify]: Simplify 2.0 into 2.0
8.267 * [taylor]: Taking taylor expansion of (* n PI) in n
8.267 * [taylor]: Taking taylor expansion of n in n
8.267 * [backup-simplify]: Simplify 0 into 0
8.267 * [backup-simplify]: Simplify 1 into 1
8.267 * [taylor]: Taking taylor expansion of PI in n
8.267 * [backup-simplify]: Simplify PI into PI
8.267 * [backup-simplify]: Simplify (* 0 PI) into 0
8.268 * [backup-simplify]: Simplify (* 2.0 0) into 0
8.268 * [backup-simplify]: Simplify 0 into 0
8.269 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
8.271 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI)
8.271 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
8.272 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
8.273 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0
8.273 * [backup-simplify]: Simplify 0 into 0
8.274 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
8.275 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
8.275 * [backup-simplify]: Simplify 0 into 0
8.276 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
8.278 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
8.278 * [backup-simplify]: Simplify 0 into 0
8.279 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
8.281 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
8.281 * [backup-simplify]: Simplify 0 into 0
8.282 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
8.284 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
8.284 * [backup-simplify]: Simplify 0 into 0
8.286 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
8.288 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
8.288 * [backup-simplify]: Simplify 0 into 0
8.288 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI))
8.289 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n))
8.289 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0
8.289 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n
8.289 * [taylor]: Taking taylor expansion of 2.0 in n
8.289 * [backup-simplify]: Simplify 2.0 into 2.0
8.289 * [taylor]: Taking taylor expansion of (/ PI n) in n
8.289 * [taylor]: Taking taylor expansion of PI in n
8.289 * [backup-simplify]: Simplify PI into PI
8.289 * [taylor]: Taking taylor expansion of n in n
8.289 * [backup-simplify]: Simplify 0 into 0
8.289 * [backup-simplify]: Simplify 1 into 1
8.290 * [backup-simplify]: Simplify (/ PI 1) into PI
8.290 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n
8.290 * [taylor]: Taking taylor expansion of 2.0 in n
8.290 * [backup-simplify]: Simplify 2.0 into 2.0
8.290 * [taylor]: Taking taylor expansion of (/ PI n) in n
8.290 * [taylor]: Taking taylor expansion of PI in n
8.290 * [backup-simplify]: Simplify PI into PI
8.290 * [taylor]: Taking taylor expansion of n in n
8.290 * [backup-simplify]: Simplify 0 into 0
8.290 * [backup-simplify]: Simplify 1 into 1
8.290 * [backup-simplify]: Simplify (/ PI 1) into PI
8.291 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
8.291 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
8.292 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
8.293 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0
8.293 * [backup-simplify]: Simplify 0 into 0
8.294 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.295 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0
8.295 * [backup-simplify]: Simplify 0 into 0
8.296 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.297 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
8.297 * [backup-simplify]: Simplify 0 into 0
8.298 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.299 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
8.299 * [backup-simplify]: Simplify 0 into 0
8.300 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.302 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
8.302 * [backup-simplify]: Simplify 0 into 0
8.303 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.304 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
8.304 * [backup-simplify]: Simplify 0 into 0
8.305 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI))
8.306 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n))
8.306 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0
8.306 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n
8.306 * [taylor]: Taking taylor expansion of -2.0 in n
8.306 * [backup-simplify]: Simplify -2.0 into -2.0
8.306 * [taylor]: Taking taylor expansion of (/ PI n) in n
8.306 * [taylor]: Taking taylor expansion of PI in n
8.306 * [backup-simplify]: Simplify PI into PI
8.306 * [taylor]: Taking taylor expansion of n in n
8.306 * [backup-simplify]: Simplify 0 into 0
8.306 * [backup-simplify]: Simplify 1 into 1
8.306 * [backup-simplify]: Simplify (/ PI 1) into PI
8.306 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n
8.306 * [taylor]: Taking taylor expansion of -2.0 in n
8.306 * [backup-simplify]: Simplify -2.0 into -2.0
8.306 * [taylor]: Taking taylor expansion of (/ PI n) in n
8.306 * [taylor]: Taking taylor expansion of PI in n
8.306 * [backup-simplify]: Simplify PI into PI
8.306 * [taylor]: Taking taylor expansion of n in n
8.307 * [backup-simplify]: Simplify 0 into 0
8.307 * [backup-simplify]: Simplify 1 into 1
8.307 * [backup-simplify]: Simplify (/ PI 1) into PI
8.307 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
8.308 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
8.309 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
8.309 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0
8.309 * [backup-simplify]: Simplify 0 into 0
8.310 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.311 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0
8.311 * [backup-simplify]: Simplify 0 into 0
8.312 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.313 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
8.314 * [backup-simplify]: Simplify 0 into 0
8.315 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.316 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
8.316 * [backup-simplify]: Simplify 0 into 0
8.317 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.318 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
8.319 * [backup-simplify]: Simplify 0 into 0
8.320 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.321 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
8.321 * [backup-simplify]: Simplify 0 into 0
8.322 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI))
8.322 * * * * [progress]: [ 2 / 3 ] generating series at (2)
8.323 * [backup-simplify]: Simplify (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)) into (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))))
8.323 * [approximate]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in (n k) around 0
8.323 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in k
8.323 * [taylor]: Taking taylor expansion of 1.0 in k
8.323 * [backup-simplify]: Simplify 1.0 into 1.0
8.323 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in k
8.323 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k
8.323 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k
8.323 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k
8.323 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k
8.323 * [taylor]: Taking taylor expansion of 0.5 in k
8.323 * [backup-simplify]: Simplify 0.5 into 0.5
8.323 * [taylor]: Taking taylor expansion of (- 1.0 k) in k
8.323 * [taylor]: Taking taylor expansion of 1.0 in k
8.323 * [backup-simplify]: Simplify 1.0 into 1.0
8.323 * [taylor]: Taking taylor expansion of k in k
8.323 * [backup-simplify]: Simplify 0 into 0
8.323 * [backup-simplify]: Simplify 1 into 1
8.323 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k
8.323 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k
8.323 * [taylor]: Taking taylor expansion of 2.0 in k
8.323 * [backup-simplify]: Simplify 2.0 into 2.0
8.323 * [taylor]: Taking taylor expansion of (* n PI) in k
8.323 * [taylor]: Taking taylor expansion of n in k
8.323 * [backup-simplify]: Simplify n into n
8.323 * [taylor]: Taking taylor expansion of PI in k
8.323 * [backup-simplify]: Simplify PI into PI
8.323 * [backup-simplify]: Simplify (* n PI) into (* n PI)
8.324 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI))
8.324 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI)))
8.324 * [backup-simplify]: Simplify (- 0) into 0
8.325 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
8.325 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5
8.325 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI))))
8.325 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5)
8.325 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
8.325 * [taylor]: Taking taylor expansion of (/ 1 k) in k
8.325 * [taylor]: Taking taylor expansion of k in k
8.325 * [backup-simplify]: Simplify 0 into 0
8.325 * [backup-simplify]: Simplify 1 into 1
8.326 * [backup-simplify]: Simplify (/ 1 1) into 1
8.326 * [backup-simplify]: Simplify (sqrt 0) into 0
8.327 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.327 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in n
8.327 * [taylor]: Taking taylor expansion of 1.0 in n
8.327 * [backup-simplify]: Simplify 1.0 into 1.0
8.327 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in n
8.327 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n
8.327 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n
8.327 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n
8.328 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n
8.328 * [taylor]: Taking taylor expansion of 0.5 in n
8.328 * [backup-simplify]: Simplify 0.5 into 0.5
8.328 * [taylor]: Taking taylor expansion of (- 1.0 k) in n
8.328 * [taylor]: Taking taylor expansion of 1.0 in n
8.328 * [backup-simplify]: Simplify 1.0 into 1.0
8.328 * [taylor]: Taking taylor expansion of k in n
8.328 * [backup-simplify]: Simplify k into k
8.328 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n
8.328 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n
8.328 * [taylor]: Taking taylor expansion of 2.0 in n
8.328 * [backup-simplify]: Simplify 2.0 into 2.0
8.328 * [taylor]: Taking taylor expansion of (* n PI) in n
8.328 * [taylor]: Taking taylor expansion of n in n
8.328 * [backup-simplify]: Simplify 0 into 0
8.328 * [backup-simplify]: Simplify 1 into 1
8.328 * [taylor]: Taking taylor expansion of PI in n
8.328 * [backup-simplify]: Simplify PI into PI
8.328 * [backup-simplify]: Simplify (* 0 PI) into 0
8.329 * [backup-simplify]: Simplify (* 2.0 0) into 0
8.330 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
8.331 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI)
8.332 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
8.332 * [backup-simplify]: Simplify (- k) into (- k)
8.333 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k)
8.333 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k))
8.334 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
8.335 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))
8.336 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))))
8.336 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
8.336 * [taylor]: Taking taylor expansion of (/ 1 k) in n
8.336 * [taylor]: Taking taylor expansion of k in n
8.337 * [backup-simplify]: Simplify k into k
8.337 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
8.337 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
8.337 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
8.337 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
8.337 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in n
8.337 * [taylor]: Taking taylor expansion of 1.0 in n
8.337 * [backup-simplify]: Simplify 1.0 into 1.0
8.337 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in n
8.337 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n
8.337 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n
8.337 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n
8.337 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n
8.337 * [taylor]: Taking taylor expansion of 0.5 in n
8.337 * [backup-simplify]: Simplify 0.5 into 0.5
8.337 * [taylor]: Taking taylor expansion of (- 1.0 k) in n
8.337 * [taylor]: Taking taylor expansion of 1.0 in n
8.337 * [backup-simplify]: Simplify 1.0 into 1.0
8.337 * [taylor]: Taking taylor expansion of k in n
8.337 * [backup-simplify]: Simplify k into k
8.337 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n
8.337 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n
8.337 * [taylor]: Taking taylor expansion of 2.0 in n
8.337 * [backup-simplify]: Simplify 2.0 into 2.0
8.337 * [taylor]: Taking taylor expansion of (* n PI) in n
8.337 * [taylor]: Taking taylor expansion of n in n
8.337 * [backup-simplify]: Simplify 0 into 0
8.337 * [backup-simplify]: Simplify 1 into 1
8.337 * [taylor]: Taking taylor expansion of PI in n
8.337 * [backup-simplify]: Simplify PI into PI
8.338 * [backup-simplify]: Simplify (* 0 PI) into 0
8.338 * [backup-simplify]: Simplify (* 2.0 0) into 0
8.340 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
8.341 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI)
8.342 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
8.342 * [backup-simplify]: Simplify (- k) into (- k)
8.342 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k)
8.342 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k))
8.344 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
8.345 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))
8.348 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))))
8.348 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
8.348 * [taylor]: Taking taylor expansion of (/ 1 k) in n
8.348 * [taylor]: Taking taylor expansion of k in n
8.348 * [backup-simplify]: Simplify k into k
8.348 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
8.348 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
8.348 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
8.348 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
8.351 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (sqrt (/ 1 k))) into (* (sqrt (/ 1 k)) (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))))
8.354 * [backup-simplify]: Simplify (* 1.0 (* (sqrt (/ 1 k)) (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))))) into (* 1.0 (* (sqrt (/ 1 k)) (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))))))
8.354 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))))) in k
8.354 * [taylor]: Taking taylor expansion of 1.0 in k
8.354 * [backup-simplify]: Simplify 1.0 into 1.0
8.354 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))))) in k
8.354 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
8.354 * [taylor]: Taking taylor expansion of (/ 1 k) in k
8.354 * [taylor]: Taking taylor expansion of k in k
8.354 * [backup-simplify]: Simplify 0 into 0
8.354 * [backup-simplify]: Simplify 1 into 1
8.355 * [backup-simplify]: Simplify (/ 1 1) into 1
8.356 * [backup-simplify]: Simplify (sqrt 0) into 0
8.358 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.358 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k
8.358 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k
8.358 * [taylor]: Taking taylor expansion of 0.5 in k
8.358 * [backup-simplify]: Simplify 0.5 into 0.5
8.358 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k
8.358 * [taylor]: Taking taylor expansion of (- 1.0 k) in k
8.358 * [taylor]: Taking taylor expansion of 1.0 in k
8.358 * [backup-simplify]: Simplify 1.0 into 1.0
8.358 * [taylor]: Taking taylor expansion of k in k
8.358 * [backup-simplify]: Simplify 0 into 0
8.358 * [backup-simplify]: Simplify 1 into 1
8.358 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k
8.358 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k
8.358 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k
8.358 * [taylor]: Taking taylor expansion of 2.0 in k
8.358 * [backup-simplify]: Simplify 2.0 into 2.0
8.358 * [taylor]: Taking taylor expansion of PI in k
8.358 * [backup-simplify]: Simplify PI into PI
8.359 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
8.360 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
8.360 * [taylor]: Taking taylor expansion of (log n) in k
8.360 * [taylor]: Taking taylor expansion of n in k
8.360 * [backup-simplify]: Simplify n into n
8.360 * [backup-simplify]: Simplify (log n) into (log n)
8.361 * [backup-simplify]: Simplify (- 0) into 0
8.361 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
8.363 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n))
8.364 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n)))
8.365 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n)))
8.366 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))
8.367 * [backup-simplify]: Simplify (* 0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) into 0
8.367 * [backup-simplify]: Simplify (* 1.0 0) into 0
8.368 * [backup-simplify]: Simplify 0 into 0
8.368 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
8.369 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0
8.371 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0
8.371 * [backup-simplify]: Simplify (- 0) into 0
8.372 * [backup-simplify]: Simplify (+ 0 0) into 0
8.372 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0
8.373 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
8.375 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0
8.376 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
8.378 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 0) (* 0 (sqrt (/ 1 k)))) into 0
8.379 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (* (sqrt (/ 1 k)) (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))))))) into 0
8.379 * [taylor]: Taking taylor expansion of 0 in k
8.379 * [backup-simplify]: Simplify 0 into 0
8.380 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0
8.382 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0
8.383 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
8.383 * [backup-simplify]: Simplify (+ 0 0) into 0
8.383 * [backup-simplify]: Simplify (- 1) into -1
8.384 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.385 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n)))
8.387 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n))))) into (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))))
8.390 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 1) 1)))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))
8.395 * [backup-simplify]: Simplify (+ (* 0 (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (- (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))
8.396 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0 0)) into (- (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))
8.398 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (- (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))
8.398 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
8.399 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
8.400 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
8.401 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
8.404 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0
8.405 * [backup-simplify]: Simplify (- 0) into 0
8.405 * [backup-simplify]: Simplify (+ 0 0) into 0
8.406 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0
8.407 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
8.413 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0
8.416 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.418 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0
8.420 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 k)) (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))))))) into 0
8.420 * [taylor]: Taking taylor expansion of 0 in k
8.420 * [backup-simplify]: Simplify 0 into 0
8.420 * [backup-simplify]: Simplify 0 into 0
8.421 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0
8.424 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0
8.426 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
8.427 * [backup-simplify]: Simplify (+ 0 0) into 0
8.427 * [backup-simplify]: Simplify (- 0) into 0
8.427 * [backup-simplify]: Simplify (+ 0 0) into 0
8.429 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0
8.432 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0
8.435 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n))))))
8.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.439 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
8.448 * [backup-simplify]: Simplify (+ (* 0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n))))))) (+ (* +nan.0 (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (- (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))))))
8.455 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (- (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0 0))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (- (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))))))
8.459 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (- (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (- (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))))))
8.460 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
8.460 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0
8.462 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
8.463 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
8.469 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0
8.469 * [backup-simplify]: Simplify (- 0) into 0
8.470 * [backup-simplify]: Simplify (+ 0 0) into 0
8.471 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 k))))) into 0
8.472 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
8.474 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n)))))) into 0
8.476 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
8.478 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0
8.480 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 k)) (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))))))))) into 0
8.481 * [taylor]: Taking taylor expansion of 0 in k
8.481 * [backup-simplify]: Simplify 0 into 0
8.481 * [backup-simplify]: Simplify 0 into 0
8.481 * [backup-simplify]: Simplify 0 into 0
8.482 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
8.488 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0
8.490 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0
8.491 * [backup-simplify]: Simplify (+ 0 0) into 0
8.491 * [backup-simplify]: Simplify (- 0) into 0
8.491 * [backup-simplify]: Simplify (+ 0 0) into 0
8.493 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n)))))) into 0
8.496 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n))))))) into 0
8.503 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 3) 6)) (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.020833333333333332 (pow (log (* 2.0 PI)) 3)) (+ (* 0.0625 (* (log (* 2.0 PI)) (pow (log n) 2))) (+ (* 0.0625 (* (pow (log (* 2.0 PI)) 2) (log n))) (* 0.020833333333333332 (pow (log n) 3)))))))
8.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.507 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
8.524 * [backup-simplify]: Simplify (+ (* 0 (* -1 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.020833333333333332 (pow (log (* 2.0 PI)) 3)) (+ (* 0.0625 (* (log (* 2.0 PI)) (pow (log n) 2))) (+ (* 0.0625 (* (pow (log (* 2.0 PI)) 2) (log n))) (* 0.020833333333333332 (pow (log n) 3)))))))) (+ (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n))))))) (+ (* +nan.0 (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))) (- (+ (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))) (- (+ (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))) (- (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))))))))))))
8.544 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))) (- (+ (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))) (- (+ (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))) (- (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))))))))))))) (+ (* 0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (- (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0 0)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))) (- (+ (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))) (- (+ (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (- (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))))))))))))
8.563 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))) (- (+ (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))) (- (+ (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (- (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))))))))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (- (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))))))))))))
8.583 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (- (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (- (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))))) (* k 1)) (- (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))))) into (- (+ (* +nan.0 (* (pow k 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))) (- (+ (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (- (+ (* +nan.0 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))) (- (+ (* +nan.0 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (- (+ (* +nan.0 (* k (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (- (+ (* +nan.0 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (- (+ (* +nan.0 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (- (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))))))))))))))))))))
8.585 * [backup-simplify]: Simplify (/ (* 1.0 (pow (* (* 2.0 PI) (/ 1 n)) (/ (- 1.0 (/ 1 k)) 2.0))) (sqrt (/ 1 k))) into (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))))
8.585 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in (n k) around 0
8.585 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k
8.585 * [taylor]: Taking taylor expansion of 1.0 in k
8.585 * [backup-simplify]: Simplify 1.0 into 1.0
8.585 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k
8.585 * [taylor]: Taking taylor expansion of (sqrt k) in k
8.585 * [taylor]: Taking taylor expansion of k in k
8.585 * [backup-simplify]: Simplify 0 into 0
8.585 * [backup-simplify]: Simplify 1 into 1
8.585 * [backup-simplify]: Simplify (sqrt 0) into 0
8.587 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.587 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k
8.587 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k
8.587 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k
8.587 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k
8.587 * [taylor]: Taking taylor expansion of 0.5 in k
8.587 * [backup-simplify]: Simplify 0.5 into 0.5
8.587 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k
8.587 * [taylor]: Taking taylor expansion of 1.0 in k
8.587 * [backup-simplify]: Simplify 1.0 into 1.0
8.587 * [taylor]: Taking taylor expansion of (/ 1 k) in k
8.587 * [taylor]: Taking taylor expansion of k in k
8.587 * [backup-simplify]: Simplify 0 into 0
8.587 * [backup-simplify]: Simplify 1 into 1
8.587 * [backup-simplify]: Simplify (/ 1 1) into 1
8.587 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k
8.587 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k
8.587 * [taylor]: Taking taylor expansion of 2.0 in k
8.588 * [backup-simplify]: Simplify 2.0 into 2.0
8.588 * [taylor]: Taking taylor expansion of (/ PI n) in k
8.588 * [taylor]: Taking taylor expansion of PI in k
8.588 * [backup-simplify]: Simplify PI into PI
8.588 * [taylor]: Taking taylor expansion of n in k
8.588 * [backup-simplify]: Simplify n into n
8.588 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
8.588 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n))
8.588 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n)))
8.588 * [backup-simplify]: Simplify (- 1) into -1
8.589 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.589 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5
8.589 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n))))
8.589 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))
8.589 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n
8.589 * [taylor]: Taking taylor expansion of 1.0 in n
8.589 * [backup-simplify]: Simplify 1.0 into 1.0
8.590 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n
8.590 * [taylor]: Taking taylor expansion of (sqrt k) in n
8.590 * [taylor]: Taking taylor expansion of k in n
8.590 * [backup-simplify]: Simplify k into k
8.590 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
8.590 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
8.590 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n
8.590 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n
8.590 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n
8.590 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n
8.590 * [taylor]: Taking taylor expansion of 0.5 in n
8.590 * [backup-simplify]: Simplify 0.5 into 0.5
8.590 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n
8.590 * [taylor]: Taking taylor expansion of 1.0 in n
8.590 * [backup-simplify]: Simplify 1.0 into 1.0
8.590 * [taylor]: Taking taylor expansion of (/ 1 k) in n
8.590 * [taylor]: Taking taylor expansion of k in n
8.590 * [backup-simplify]: Simplify k into k
8.590 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
8.590 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n
8.590 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n
8.590 * [taylor]: Taking taylor expansion of 2.0 in n
8.590 * [backup-simplify]: Simplify 2.0 into 2.0
8.590 * [taylor]: Taking taylor expansion of (/ PI n) in n
8.590 * [taylor]: Taking taylor expansion of PI in n
8.590 * [backup-simplify]: Simplify PI into PI
8.590 * [taylor]: Taking taylor expansion of n in n
8.590 * [backup-simplify]: Simplify 0 into 0
8.590 * [backup-simplify]: Simplify 1 into 1
8.591 * [backup-simplify]: Simplify (/ PI 1) into PI
8.591 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
8.592 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
8.592 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
8.593 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k))
8.593 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k)))
8.594 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
8.595 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))
8.596 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))
8.596 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n
8.596 * [taylor]: Taking taylor expansion of 1.0 in n
8.596 * [backup-simplify]: Simplify 1.0 into 1.0
8.596 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n
8.596 * [taylor]: Taking taylor expansion of (sqrt k) in n
8.596 * [taylor]: Taking taylor expansion of k in n
8.596 * [backup-simplify]: Simplify k into k
8.597 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
8.597 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
8.597 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n
8.597 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n
8.597 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n
8.597 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n
8.597 * [taylor]: Taking taylor expansion of 0.5 in n
8.597 * [backup-simplify]: Simplify 0.5 into 0.5
8.597 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n
8.597 * [taylor]: Taking taylor expansion of 1.0 in n
8.597 * [backup-simplify]: Simplify 1.0 into 1.0
8.597 * [taylor]: Taking taylor expansion of (/ 1 k) in n
8.597 * [taylor]: Taking taylor expansion of k in n
8.597 * [backup-simplify]: Simplify k into k
8.597 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
8.597 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n
8.597 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n
8.597 * [taylor]: Taking taylor expansion of 2.0 in n
8.597 * [backup-simplify]: Simplify 2.0 into 2.0
8.597 * [taylor]: Taking taylor expansion of (/ PI n) in n
8.597 * [taylor]: Taking taylor expansion of PI in n
8.597 * [backup-simplify]: Simplify PI into PI
8.597 * [taylor]: Taking taylor expansion of n in n
8.597 * [backup-simplify]: Simplify 0 into 0
8.597 * [backup-simplify]: Simplify 1 into 1
8.598 * [backup-simplify]: Simplify (/ PI 1) into PI
8.598 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
8.599 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
8.599 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
8.599 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k))
8.600 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k)))
8.601 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
8.602 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))
8.603 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))
8.605 * [backup-simplify]: Simplify (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))
8.606 * [backup-simplify]: Simplify (* 1.0 (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (* 1.0 (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))
8.606 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) in k
8.606 * [taylor]: Taking taylor expansion of 1.0 in k
8.606 * [backup-simplify]: Simplify 1.0 into 1.0
8.606 * [taylor]: Taking taylor expansion of (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) in k
8.606 * [taylor]: Taking taylor expansion of (sqrt k) in k
8.606 * [taylor]: Taking taylor expansion of k in k
8.606 * [backup-simplify]: Simplify 0 into 0
8.606 * [backup-simplify]: Simplify 1 into 1
8.607 * [backup-simplify]: Simplify (sqrt 0) into 0
8.608 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.608 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k
8.608 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k
8.608 * [taylor]: Taking taylor expansion of 0.5 in k
8.608 * [backup-simplify]: Simplify 0.5 into 0.5
8.608 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k
8.608 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k
8.608 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k
8.608 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k
8.608 * [taylor]: Taking taylor expansion of 2.0 in k
8.608 * [backup-simplify]: Simplify 2.0 into 2.0
8.608 * [taylor]: Taking taylor expansion of PI in k
8.608 * [backup-simplify]: Simplify PI into PI
8.609 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
8.610 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
8.610 * [taylor]: Taking taylor expansion of (log n) in k
8.610 * [taylor]: Taking taylor expansion of n in k
8.610 * [backup-simplify]: Simplify n into n
8.610 * [backup-simplify]: Simplify (log n) into (log n)
8.610 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k
8.610 * [taylor]: Taking taylor expansion of 1.0 in k
8.610 * [backup-simplify]: Simplify 1.0 into 1.0
8.610 * [taylor]: Taking taylor expansion of (/ 1 k) in k
8.610 * [taylor]: Taking taylor expansion of k in k
8.610 * [backup-simplify]: Simplify 0 into 0
8.610 * [backup-simplify]: Simplify 1 into 1
8.610 * [backup-simplify]: Simplify (/ 1 1) into 1
8.611 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
8.612 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n))
8.612 * [backup-simplify]: Simplify (- 1) into -1
8.612 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.613 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n)))
8.614 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n)))
8.616 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))
8.617 * [backup-simplify]: Simplify (* 0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into 0
8.617 * [backup-simplify]: Simplify (* 1.0 0) into 0
8.617 * [backup-simplify]: Simplify 0 into 0
8.618 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
8.619 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0
8.620 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0
8.620 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
8.621 * [backup-simplify]: Simplify (- 0) into 0
8.621 * [backup-simplify]: Simplify (+ 0 0) into 0
8.622 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0
8.623 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
8.624 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0
8.626 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0
8.628 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into 0
8.629 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) into 0
8.629 * [taylor]: Taking taylor expansion of 0 in k
8.629 * [backup-simplify]: Simplify 0 into 0
8.629 * [backup-simplify]: Simplify 0 into 0
8.631 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))
8.633 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) (* 0 0)) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))
8.635 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))
8.637 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.638 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0
8.642 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0
8.642 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
8.642 * [backup-simplify]: Simplify (- 0) into 0
8.643 * [backup-simplify]: Simplify (+ 0 0) into 0
8.644 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0
8.645 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
8.647 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0
8.650 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.651 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
8.652 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) into 0
8.655 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))))) into 0
8.655 * [taylor]: Taking taylor expansion of 0 in k
8.655 * [backup-simplify]: Simplify 0 into 0
8.655 * [backup-simplify]: Simplify 0 into 0
8.655 * [backup-simplify]: Simplify 0 into 0
8.658 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
8.660 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))
8.664 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) (* 0 0))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))
8.666 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))
8.668 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.670 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
8.676 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0
8.676 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
8.677 * [backup-simplify]: Simplify (- 0) into 0
8.677 * [backup-simplify]: Simplify (+ 0 0) into 0
8.678 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0
8.679 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
8.682 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0
8.684 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
8.685 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
8.687 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))))) into 0
8.689 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))))) into 0
8.689 * [taylor]: Taking taylor expansion of 0 in k
8.689 * [backup-simplify]: Simplify 0 into 0
8.690 * [backup-simplify]: Simplify 0 into 0
8.690 * [backup-simplify]: Simplify 0 into 0
8.690 * [backup-simplify]: Simplify 0 into 0
8.693 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
8.696 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))
8.705 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) (* 0 0)))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))
8.707 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))
8.712 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2))))))))
8.713 * [backup-simplify]: Simplify (/ (* 1.0 (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (- 1.0 (/ 1 (- k))) 2.0))) (sqrt (/ 1 (- k)))) into (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))))
8.713 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (n k) around 0
8.713 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k
8.713 * [taylor]: Taking taylor expansion of 1.0 in k
8.713 * [backup-simplify]: Simplify 1.0 into 1.0
8.713 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k
8.713 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k
8.713 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k
8.713 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k
8.713 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k
8.713 * [taylor]: Taking taylor expansion of 0.5 in k
8.713 * [backup-simplify]: Simplify 0.5 into 0.5
8.713 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k
8.713 * [taylor]: Taking taylor expansion of (/ 1 k) in k
8.713 * [taylor]: Taking taylor expansion of k in k
8.713 * [backup-simplify]: Simplify 0 into 0
8.713 * [backup-simplify]: Simplify 1 into 1
8.713 * [backup-simplify]: Simplify (/ 1 1) into 1
8.713 * [taylor]: Taking taylor expansion of 1.0 in k
8.713 * [backup-simplify]: Simplify 1.0 into 1.0
8.714 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k
8.714 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k
8.714 * [taylor]: Taking taylor expansion of -2.0 in k
8.714 * [backup-simplify]: Simplify -2.0 into -2.0
8.714 * [taylor]: Taking taylor expansion of (/ PI n) in k
8.714 * [taylor]: Taking taylor expansion of PI in k
8.714 * [backup-simplify]: Simplify PI into PI
8.714 * [taylor]: Taking taylor expansion of n in k
8.714 * [backup-simplify]: Simplify n into n
8.714 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
8.714 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n))
8.714 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n)))
8.714 * [backup-simplify]: Simplify (+ 1 0) into 1
8.715 * [backup-simplify]: Simplify (* 0.5 1) into 0.5
8.715 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n))))
8.715 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))
8.715 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
8.715 * [taylor]: Taking taylor expansion of (/ -1 k) in k
8.715 * [taylor]: Taking taylor expansion of -1 in k
8.715 * [backup-simplify]: Simplify -1 into -1
8.715 * [taylor]: Taking taylor expansion of k in k
8.715 * [backup-simplify]: Simplify 0 into 0
8.715 * [backup-simplify]: Simplify 1 into 1
8.716 * [backup-simplify]: Simplify (/ -1 1) into -1
8.716 * [backup-simplify]: Simplify (sqrt 0) into 0
8.717 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
8.718 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))
8.718 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n
8.718 * [taylor]: Taking taylor expansion of 1.0 in n
8.718 * [backup-simplify]: Simplify 1.0 into 1.0
8.718 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n
8.718 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n
8.718 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n
8.718 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n
8.718 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n
8.718 * [taylor]: Taking taylor expansion of 0.5 in n
8.718 * [backup-simplify]: Simplify 0.5 into 0.5
8.718 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n
8.718 * [taylor]: Taking taylor expansion of (/ 1 k) in n
8.718 * [taylor]: Taking taylor expansion of k in n
8.718 * [backup-simplify]: Simplify k into k
8.718 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
8.718 * [taylor]: Taking taylor expansion of 1.0 in n
8.718 * [backup-simplify]: Simplify 1.0 into 1.0
8.718 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n
8.718 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n
8.718 * [taylor]: Taking taylor expansion of -2.0 in n
8.718 * [backup-simplify]: Simplify -2.0 into -2.0
8.718 * [taylor]: Taking taylor expansion of (/ PI n) in n
8.718 * [taylor]: Taking taylor expansion of PI in n
8.718 * [backup-simplify]: Simplify PI into PI
8.718 * [taylor]: Taking taylor expansion of n in n
8.718 * [backup-simplify]: Simplify 0 into 0
8.718 * [backup-simplify]: Simplify 1 into 1
8.719 * [backup-simplify]: Simplify (/ PI 1) into PI
8.719 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
8.720 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI))
8.721 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0)
8.721 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0))
8.722 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
8.723 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))
8.724 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))
8.724 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
8.725 * [taylor]: Taking taylor expansion of (/ -1 k) in n
8.725 * [taylor]: Taking taylor expansion of -1 in n
8.725 * [backup-simplify]: Simplify -1 into -1
8.725 * [taylor]: Taking taylor expansion of k in n
8.725 * [backup-simplify]: Simplify k into k
8.725 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
8.725 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
8.725 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
8.725 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
8.726 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k)))
8.726 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n
8.726 * [taylor]: Taking taylor expansion of 1.0 in n
8.726 * [backup-simplify]: Simplify 1.0 into 1.0
8.726 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n
8.727 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n
8.727 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n
8.727 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n
8.727 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n
8.727 * [taylor]: Taking taylor expansion of 0.5 in n
8.727 * [backup-simplify]: Simplify 0.5 into 0.5
8.727 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n
8.727 * [taylor]: Taking taylor expansion of (/ 1 k) in n
8.727 * [taylor]: Taking taylor expansion of k in n
8.727 * [backup-simplify]: Simplify k into k
8.727 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
8.727 * [taylor]: Taking taylor expansion of 1.0 in n
8.727 * [backup-simplify]: Simplify 1.0 into 1.0
8.727 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n
8.727 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n
8.727 * [taylor]: Taking taylor expansion of -2.0 in n
8.727 * [backup-simplify]: Simplify -2.0 into -2.0
8.727 * [taylor]: Taking taylor expansion of (/ PI n) in n
8.727 * [taylor]: Taking taylor expansion of PI in n
8.727 * [backup-simplify]: Simplify PI into PI
8.727 * [taylor]: Taking taylor expansion of n in n
8.727 * [backup-simplify]: Simplify 0 into 0
8.727 * [backup-simplify]: Simplify 1 into 1
8.728 * [backup-simplify]: Simplify (/ PI 1) into PI
8.728 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
8.729 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI))
8.729 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0)
8.729 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0))
8.731 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
8.732 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))
8.733 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))
8.733 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
8.733 * [taylor]: Taking taylor expansion of (/ -1 k) in n
8.733 * [taylor]: Taking taylor expansion of -1 in n
8.733 * [backup-simplify]: Simplify -1 into -1
8.733 * [taylor]: Taking taylor expansion of k in n
8.733 * [backup-simplify]: Simplify k into k
8.733 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
8.733 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
8.734 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
8.734 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
8.735 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k)))
8.736 * [backup-simplify]: Simplify (* 1.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k)))) into (* 1.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))))
8.737 * [taylor]: Taking taylor expansion of (* 1.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k)))) in k
8.737 * [taylor]: Taking taylor expansion of 1.0 in k
8.737 * [backup-simplify]: Simplify 1.0 into 1.0
8.737 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))) in k
8.737 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k
8.737 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k
8.737 * [taylor]: Taking taylor expansion of 0.5 in k
8.737 * [backup-simplify]: Simplify 0.5 into 0.5
8.737 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k
8.737 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k
8.737 * [taylor]: Taking taylor expansion of (/ 1 k) in k
8.737 * [taylor]: Taking taylor expansion of k in k
8.737 * [backup-simplify]: Simplify 0 into 0
8.737 * [backup-simplify]: Simplify 1 into 1
8.737 * [backup-simplify]: Simplify (/ 1 1) into 1
8.737 * [taylor]: Taking taylor expansion of 1.0 in k
8.737 * [backup-simplify]: Simplify 1.0 into 1.0
8.737 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k
8.737 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k
8.737 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k
8.737 * [taylor]: Taking taylor expansion of -2.0 in k
8.738 * [backup-simplify]: Simplify -2.0 into -2.0
8.738 * [taylor]: Taking taylor expansion of PI in k
8.738 * [backup-simplify]: Simplify PI into PI
8.738 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
8.739 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI))
8.739 * [taylor]: Taking taylor expansion of (log n) in k
8.739 * [taylor]: Taking taylor expansion of n in k
8.739 * [backup-simplify]: Simplify n into n
8.739 * [backup-simplify]: Simplify (log n) into (log n)
8.740 * [backup-simplify]: Simplify (+ 1 0) into 1
8.740 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
8.741 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n))
8.742 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n))
8.744 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n)))
8.745 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))
8.745 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
8.745 * [taylor]: Taking taylor expansion of (/ -1 k) in k
8.745 * [taylor]: Taking taylor expansion of -1 in k
8.745 * [backup-simplify]: Simplify -1 into -1
8.745 * [taylor]: Taking taylor expansion of k in k
8.745 * [backup-simplify]: Simplify 0 into 0
8.745 * [backup-simplify]: Simplify 1 into 1
8.745 * [backup-simplify]: Simplify (/ -1 1) into -1
8.746 * [backup-simplify]: Simplify (sqrt 0) into 0
8.747 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
8.748 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))
8.750 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))
8.751 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))
8.752 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
8.753 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0
8.754 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0
8.754 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
8.755 * [backup-simplify]: Simplify (+ 0 0) into 0
8.755 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0
8.757 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
8.758 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0
8.760 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
8.761 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0
8.763 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))))) into 0
8.763 * [taylor]: Taking taylor expansion of 0 in k
8.763 * [backup-simplify]: Simplify 0 into 0
8.763 * [backup-simplify]: Simplify 0 into 0
8.764 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.767 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
8.769 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))))
8.771 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))))
8.773 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))))
8.774 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.775 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0
8.778 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0
8.779 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
8.779 * [backup-simplify]: Simplify (+ 0 0) into 0
8.780 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0
8.781 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
8.783 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0
8.785 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.786 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
8.787 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
8.788 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0
8.790 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k)))))) into 0
8.790 * [taylor]: Taking taylor expansion of 0 in k
8.790 * [backup-simplify]: Simplify 0 into 0
8.790 * [backup-simplify]: Simplify 0 into 0
8.790 * [backup-simplify]: Simplify 0 into 0
8.791 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.795 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
8.799 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))))
8.803 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))))
8.804 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))))
8.808 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))))))))
8.809 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 2)
8.809 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))
8.809 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0
8.809 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k
8.809 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k
8.809 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k
8.809 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k
8.809 * [taylor]: Taking taylor expansion of 0.5 in k
8.810 * [backup-simplify]: Simplify 0.5 into 0.5
8.810 * [taylor]: Taking taylor expansion of (- 1.0 k) in k
8.810 * [taylor]: Taking taylor expansion of 1.0 in k
8.810 * [backup-simplify]: Simplify 1.0 into 1.0
8.810 * [taylor]: Taking taylor expansion of k in k
8.810 * [backup-simplify]: Simplify 0 into 0
8.810 * [backup-simplify]: Simplify 1 into 1
8.810 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k
8.810 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k
8.810 * [taylor]: Taking taylor expansion of 2.0 in k
8.810 * [backup-simplify]: Simplify 2.0 into 2.0
8.810 * [taylor]: Taking taylor expansion of (* n PI) in k
8.810 * [taylor]: Taking taylor expansion of n in k
8.810 * [backup-simplify]: Simplify n into n
8.810 * [taylor]: Taking taylor expansion of PI in k
8.810 * [backup-simplify]: Simplify PI into PI
8.810 * [backup-simplify]: Simplify (* n PI) into (* n PI)
8.810 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI))
8.810 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI)))
8.810 * [backup-simplify]: Simplify (- 0) into 0
8.811 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
8.811 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5
8.811 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI))))
8.812 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5)
8.812 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n
8.812 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n
8.812 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n
8.812 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n
8.812 * [taylor]: Taking taylor expansion of 0.5 in n
8.812 * [backup-simplify]: Simplify 0.5 into 0.5
8.812 * [taylor]: Taking taylor expansion of (- 1.0 k) in n
8.812 * [taylor]: Taking taylor expansion of 1.0 in n
8.812 * [backup-simplify]: Simplify 1.0 into 1.0
8.812 * [taylor]: Taking taylor expansion of k in n
8.812 * [backup-simplify]: Simplify k into k
8.812 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n
8.812 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n
8.812 * [taylor]: Taking taylor expansion of 2.0 in n
8.812 * [backup-simplify]: Simplify 2.0 into 2.0
8.812 * [taylor]: Taking taylor expansion of (* n PI) in n
8.812 * [taylor]: Taking taylor expansion of n in n
8.812 * [backup-simplify]: Simplify 0 into 0
8.812 * [backup-simplify]: Simplify 1 into 1
8.812 * [taylor]: Taking taylor expansion of PI in n
8.812 * [backup-simplify]: Simplify PI into PI
8.813 * [backup-simplify]: Simplify (* 0 PI) into 0
8.813 * [backup-simplify]: Simplify (* 2.0 0) into 0
8.815 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
8.816 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI)
8.817 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
8.817 * [backup-simplify]: Simplify (- k) into (- k)
8.817 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k)
8.817 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k))
8.819 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
8.820 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))
8.821 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))))
8.822 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n
8.822 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n
8.822 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n
8.822 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n
8.822 * [taylor]: Taking taylor expansion of 0.5 in n
8.822 * [backup-simplify]: Simplify 0.5 into 0.5
8.822 * [taylor]: Taking taylor expansion of (- 1.0 k) in n
8.822 * [taylor]: Taking taylor expansion of 1.0 in n
8.822 * [backup-simplify]: Simplify 1.0 into 1.0
8.822 * [taylor]: Taking taylor expansion of k in n
8.822 * [backup-simplify]: Simplify k into k
8.822 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n
8.822 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n
8.822 * [taylor]: Taking taylor expansion of 2.0 in n
8.822 * [backup-simplify]: Simplify 2.0 into 2.0
8.822 * [taylor]: Taking taylor expansion of (* n PI) in n
8.822 * [taylor]: Taking taylor expansion of n in n
8.822 * [backup-simplify]: Simplify 0 into 0
8.822 * [backup-simplify]: Simplify 1 into 1
8.822 * [taylor]: Taking taylor expansion of PI in n
8.822 * [backup-simplify]: Simplify PI into PI
8.823 * [backup-simplify]: Simplify (* 0 PI) into 0
8.823 * [backup-simplify]: Simplify (* 2.0 0) into 0
8.825 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
8.826 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI)
8.827 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
8.827 * [backup-simplify]: Simplify (- k) into (- k)
8.827 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k)
8.827 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k))
8.829 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
8.830 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))
8.831 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))))
8.831 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k
8.831 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k
8.831 * [taylor]: Taking taylor expansion of 0.5 in k
8.831 * [backup-simplify]: Simplify 0.5 into 0.5
8.831 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k
8.831 * [taylor]: Taking taylor expansion of (- 1.0 k) in k
8.831 * [taylor]: Taking taylor expansion of 1.0 in k
8.831 * [backup-simplify]: Simplify 1.0 into 1.0
8.831 * [taylor]: Taking taylor expansion of k in k
8.831 * [backup-simplify]: Simplify 0 into 0
8.831 * [backup-simplify]: Simplify 1 into 1
8.831 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k
8.832 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k
8.832 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k
8.832 * [taylor]: Taking taylor expansion of 2.0 in k
8.832 * [backup-simplify]: Simplify 2.0 into 2.0
8.832 * [taylor]: Taking taylor expansion of PI in k
8.832 * [backup-simplify]: Simplify PI into PI
8.832 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
8.833 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
8.833 * [taylor]: Taking taylor expansion of (log n) in k
8.833 * [taylor]: Taking taylor expansion of n in k
8.833 * [backup-simplify]: Simplify n into n
8.833 * [backup-simplify]: Simplify (log n) into (log n)
8.834 * [backup-simplify]: Simplify (- 0) into 0
8.834 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
8.835 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n))
8.836 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n)))
8.837 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n)))
8.839 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))
8.841 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))
8.843 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
8.844 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0
8.846 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0
8.847 * [backup-simplify]: Simplify (- 0) into 0
8.847 * [backup-simplify]: Simplify (+ 0 0) into 0
8.848 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0
8.855 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
8.857 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0
8.859 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
8.859 * [taylor]: Taking taylor expansion of 0 in k
8.859 * [backup-simplify]: Simplify 0 into 0
8.859 * [backup-simplify]: Simplify 0 into 0
8.860 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0
8.861 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0
8.862 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
8.862 * [backup-simplify]: Simplify (+ 0 0) into 0
8.863 * [backup-simplify]: Simplify (- 1) into -1
8.863 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.865 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n)))
8.867 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n))))) into (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))))
8.870 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 1) 1)))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))
8.872 * [backup-simplify]: Simplify (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))
8.874 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
8.875 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
8.878 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0
8.879 * [backup-simplify]: Simplify (- 0) into 0
8.879 * [backup-simplify]: Simplify (+ 0 0) into 0
8.880 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0
8.881 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
8.882 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0
8.885 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.885 * [taylor]: Taking taylor expansion of 0 in k
8.885 * [backup-simplify]: Simplify 0 into 0
8.885 * [backup-simplify]: Simplify 0 into 0
8.885 * [backup-simplify]: Simplify 0 into 0
8.886 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0
8.889 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0
8.891 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
8.891 * [backup-simplify]: Simplify (+ 0 0) into 0
8.892 * [backup-simplify]: Simplify (- 0) into 0
8.892 * [backup-simplify]: Simplify (+ 0 0) into 0
8.894 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0
8.896 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0
8.900 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n))))))
8.905 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n))))))
8.915 * [backup-simplify]: Simplify (+ (* (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (* k 1)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))))
8.916 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 n)) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))
8.916 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0
8.916 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k
8.916 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k
8.916 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k
8.916 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k
8.916 * [taylor]: Taking taylor expansion of 0.5 in k
8.916 * [backup-simplify]: Simplify 0.5 into 0.5
8.916 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k
8.916 * [taylor]: Taking taylor expansion of 1.0 in k
8.916 * [backup-simplify]: Simplify 1.0 into 1.0
8.916 * [taylor]: Taking taylor expansion of (/ 1 k) in k
8.916 * [taylor]: Taking taylor expansion of k in k
8.916 * [backup-simplify]: Simplify 0 into 0
8.916 * [backup-simplify]: Simplify 1 into 1
8.916 * [backup-simplify]: Simplify (/ 1 1) into 1
8.916 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k
8.916 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k
8.916 * [taylor]: Taking taylor expansion of 2.0 in k
8.917 * [backup-simplify]: Simplify 2.0 into 2.0
8.917 * [taylor]: Taking taylor expansion of (/ PI n) in k
8.917 * [taylor]: Taking taylor expansion of PI in k
8.917 * [backup-simplify]: Simplify PI into PI
8.917 * [taylor]: Taking taylor expansion of n in k
8.917 * [backup-simplify]: Simplify n into n
8.917 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
8.917 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n))
8.917 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n)))
8.917 * [backup-simplify]: Simplify (- 1) into -1
8.918 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.918 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5
8.918 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n))))
8.919 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))
8.919 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n
8.919 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n
8.919 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n
8.919 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n
8.919 * [taylor]: Taking taylor expansion of 0.5 in n
8.919 * [backup-simplify]: Simplify 0.5 into 0.5
8.919 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n
8.919 * [taylor]: Taking taylor expansion of 1.0 in n
8.919 * [backup-simplify]: Simplify 1.0 into 1.0
8.919 * [taylor]: Taking taylor expansion of (/ 1 k) in n
8.919 * [taylor]: Taking taylor expansion of k in n
8.919 * [backup-simplify]: Simplify k into k
8.919 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
8.919 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n
8.919 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n
8.919 * [taylor]: Taking taylor expansion of 2.0 in n
8.919 * [backup-simplify]: Simplify 2.0 into 2.0
8.919 * [taylor]: Taking taylor expansion of (/ PI n) in n
8.919 * [taylor]: Taking taylor expansion of PI in n
8.919 * [backup-simplify]: Simplify PI into PI
8.919 * [taylor]: Taking taylor expansion of n in n
8.919 * [backup-simplify]: Simplify 0 into 0
8.919 * [backup-simplify]: Simplify 1 into 1
8.920 * [backup-simplify]: Simplify (/ PI 1) into PI
8.920 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
8.921 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
8.921 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
8.921 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k))
8.922 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k)))
8.923 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
8.924 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))
8.925 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))
8.925 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n
8.926 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n
8.926 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n
8.926 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n
8.926 * [taylor]: Taking taylor expansion of 0.5 in n
8.926 * [backup-simplify]: Simplify 0.5 into 0.5
8.926 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n
8.926 * [taylor]: Taking taylor expansion of 1.0 in n
8.926 * [backup-simplify]: Simplify 1.0 into 1.0
8.926 * [taylor]: Taking taylor expansion of (/ 1 k) in n
8.926 * [taylor]: Taking taylor expansion of k in n
8.926 * [backup-simplify]: Simplify k into k
8.926 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
8.926 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n
8.926 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n
8.926 * [taylor]: Taking taylor expansion of 2.0 in n
8.926 * [backup-simplify]: Simplify 2.0 into 2.0
8.926 * [taylor]: Taking taylor expansion of (/ PI n) in n
8.926 * [taylor]: Taking taylor expansion of PI in n
8.926 * [backup-simplify]: Simplify PI into PI
8.926 * [taylor]: Taking taylor expansion of n in n
8.926 * [backup-simplify]: Simplify 0 into 0
8.926 * [backup-simplify]: Simplify 1 into 1
8.927 * [backup-simplify]: Simplify (/ PI 1) into PI
8.927 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
8.928 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
8.928 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
8.928 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k))
8.928 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k)))
8.930 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
8.931 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))
8.932 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))
8.932 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k
8.932 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k
8.932 * [taylor]: Taking taylor expansion of 0.5 in k
8.932 * [backup-simplify]: Simplify 0.5 into 0.5
8.932 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k
8.932 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k
8.932 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k
8.932 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k
8.932 * [taylor]: Taking taylor expansion of 2.0 in k
8.932 * [backup-simplify]: Simplify 2.0 into 2.0
8.932 * [taylor]: Taking taylor expansion of PI in k
8.932 * [backup-simplify]: Simplify PI into PI
8.933 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
8.934 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
8.934 * [taylor]: Taking taylor expansion of (log n) in k
8.934 * [taylor]: Taking taylor expansion of n in k
8.934 * [backup-simplify]: Simplify n into n
8.934 * [backup-simplify]: Simplify (log n) into (log n)
8.934 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k
8.934 * [taylor]: Taking taylor expansion of 1.0 in k
8.934 * [backup-simplify]: Simplify 1.0 into 1.0
8.934 * [taylor]: Taking taylor expansion of (/ 1 k) in k
8.934 * [taylor]: Taking taylor expansion of k in k
8.934 * [backup-simplify]: Simplify 0 into 0
8.934 * [backup-simplify]: Simplify 1 into 1
8.935 * [backup-simplify]: Simplify (/ 1 1) into 1
8.935 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
8.936 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n))
8.936 * [backup-simplify]: Simplify (- 1) into -1
8.936 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.937 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n)))
8.938 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n)))
8.939 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))
8.941 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))
8.942 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
8.942 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0
8.944 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0
8.944 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
8.944 * [backup-simplify]: Simplify (- 0) into 0
8.945 * [backup-simplify]: Simplify (+ 0 0) into 0
8.945 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0
8.947 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
8.948 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0
8.949 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0
8.949 * [taylor]: Taking taylor expansion of 0 in k
8.949 * [backup-simplify]: Simplify 0 into 0
8.949 * [backup-simplify]: Simplify 0 into 0
8.950 * [backup-simplify]: Simplify 0 into 0
8.950 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.952 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0
8.955 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0
8.956 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
8.956 * [backup-simplify]: Simplify (- 0) into 0
8.956 * [backup-simplify]: Simplify (+ 0 0) into 0
8.957 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0
8.958 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
8.960 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0
8.962 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.962 * [taylor]: Taking taylor expansion of 0 in k
8.962 * [backup-simplify]: Simplify 0 into 0
8.962 * [backup-simplify]: Simplify 0 into 0
8.962 * [backup-simplify]: Simplify 0 into 0
8.962 * [backup-simplify]: Simplify 0 into 0
8.963 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.965 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
8.970 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0
8.971 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
8.971 * [backup-simplify]: Simplify (- 0) into 0
8.971 * [backup-simplify]: Simplify (+ 0 0) into 0
8.972 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0
8.974 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
8.975 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0
8.978 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
8.978 * [taylor]: Taking taylor expansion of 0 in k
8.978 * [backup-simplify]: Simplify 0 into 0
8.978 * [backup-simplify]: Simplify 0 into 0
8.979 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k))))
8.980 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))
8.980 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0
8.980 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k
8.980 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k
8.980 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k
8.980 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k
8.980 * [taylor]: Taking taylor expansion of 0.5 in k
8.980 * [backup-simplify]: Simplify 0.5 into 0.5
8.980 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k
8.980 * [taylor]: Taking taylor expansion of (/ 1 k) in k
8.980 * [taylor]: Taking taylor expansion of k in k
8.980 * [backup-simplify]: Simplify 0 into 0
8.980 * [backup-simplify]: Simplify 1 into 1
8.981 * [backup-simplify]: Simplify (/ 1 1) into 1
8.981 * [taylor]: Taking taylor expansion of 1.0 in k
8.981 * [backup-simplify]: Simplify 1.0 into 1.0
8.981 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k
8.981 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k
8.981 * [taylor]: Taking taylor expansion of -2.0 in k
8.981 * [backup-simplify]: Simplify -2.0 into -2.0
8.981 * [taylor]: Taking taylor expansion of (/ PI n) in k
8.981 * [taylor]: Taking taylor expansion of PI in k
8.981 * [backup-simplify]: Simplify PI into PI
8.981 * [taylor]: Taking taylor expansion of n in k
8.981 * [backup-simplify]: Simplify n into n
8.981 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
8.981 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n))
8.981 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n)))
8.982 * [backup-simplify]: Simplify (+ 1 0) into 1
8.982 * [backup-simplify]: Simplify (* 0.5 1) into 0.5
8.982 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n))))
8.983 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))
8.983 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n
8.983 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n
8.983 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n
8.983 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n
8.983 * [taylor]: Taking taylor expansion of 0.5 in n
8.983 * [backup-simplify]: Simplify 0.5 into 0.5
8.983 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n
8.983 * [taylor]: Taking taylor expansion of (/ 1 k) in n
8.983 * [taylor]: Taking taylor expansion of k in n
8.983 * [backup-simplify]: Simplify k into k
8.983 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
8.983 * [taylor]: Taking taylor expansion of 1.0 in n
8.983 * [backup-simplify]: Simplify 1.0 into 1.0
8.983 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n
8.983 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n
8.983 * [taylor]: Taking taylor expansion of -2.0 in n
8.983 * [backup-simplify]: Simplify -2.0 into -2.0
8.983 * [taylor]: Taking taylor expansion of (/ PI n) in n
8.983 * [taylor]: Taking taylor expansion of PI in n
8.983 * [backup-simplify]: Simplify PI into PI
8.983 * [taylor]: Taking taylor expansion of n in n
8.983 * [backup-simplify]: Simplify 0 into 0
8.983 * [backup-simplify]: Simplify 1 into 1
8.984 * [backup-simplify]: Simplify (/ PI 1) into PI
8.984 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
8.985 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI))
8.985 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0)
8.985 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0))
8.987 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
8.988 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))
8.989 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))
8.989 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n
8.989 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n
8.989 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n
8.989 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n
8.989 * [taylor]: Taking taylor expansion of 0.5 in n
8.989 * [backup-simplify]: Simplify 0.5 into 0.5
8.989 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n
8.989 * [taylor]: Taking taylor expansion of (/ 1 k) in n
8.989 * [taylor]: Taking taylor expansion of k in n
8.989 * [backup-simplify]: Simplify k into k
8.989 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
8.989 * [taylor]: Taking taylor expansion of 1.0 in n
8.989 * [backup-simplify]: Simplify 1.0 into 1.0
8.989 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n
8.989 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n
8.989 * [taylor]: Taking taylor expansion of -2.0 in n
8.989 * [backup-simplify]: Simplify -2.0 into -2.0
8.989 * [taylor]: Taking taylor expansion of (/ PI n) in n
8.989 * [taylor]: Taking taylor expansion of PI in n
8.989 * [backup-simplify]: Simplify PI into PI
8.989 * [taylor]: Taking taylor expansion of n in n
8.989 * [backup-simplify]: Simplify 0 into 0
8.989 * [backup-simplify]: Simplify 1 into 1
8.990 * [backup-simplify]: Simplify (/ PI 1) into PI
8.990 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
8.991 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI))
8.991 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0)
8.991 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0))
8.998 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
8.999 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))
9.000 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))
9.000 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k
9.000 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k
9.000 * [taylor]: Taking taylor expansion of 0.5 in k
9.000 * [backup-simplify]: Simplify 0.5 into 0.5
9.000 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k
9.000 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k
9.000 * [taylor]: Taking taylor expansion of (/ 1 k) in k
9.000 * [taylor]: Taking taylor expansion of k in k
9.000 * [backup-simplify]: Simplify 0 into 0
9.000 * [backup-simplify]: Simplify 1 into 1
9.001 * [backup-simplify]: Simplify (/ 1 1) into 1
9.001 * [taylor]: Taking taylor expansion of 1.0 in k
9.001 * [backup-simplify]: Simplify 1.0 into 1.0
9.001 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k
9.001 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k
9.001 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k
9.001 * [taylor]: Taking taylor expansion of -2.0 in k
9.001 * [backup-simplify]: Simplify -2.0 into -2.0
9.001 * [taylor]: Taking taylor expansion of PI in k
9.001 * [backup-simplify]: Simplify PI into PI
9.001 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
9.002 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI))
9.002 * [taylor]: Taking taylor expansion of (log n) in k
9.002 * [taylor]: Taking taylor expansion of n in k
9.002 * [backup-simplify]: Simplify n into n
9.002 * [backup-simplify]: Simplify (log n) into (log n)
9.003 * [backup-simplify]: Simplify (+ 1 0) into 1
9.003 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
9.004 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n))
9.005 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n))
9.006 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n)))
9.007 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))
9.008 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))
9.009 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
9.010 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0
9.011 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0
9.012 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
9.012 * [backup-simplify]: Simplify (+ 0 0) into 0
9.012 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0
9.014 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
9.015 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0
9.017 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
9.017 * [taylor]: Taking taylor expansion of 0 in k
9.017 * [backup-simplify]: Simplify 0 into 0
9.017 * [backup-simplify]: Simplify 0 into 0
9.017 * [backup-simplify]: Simplify 0 into 0
9.018 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.019 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0
9.022 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0
9.022 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
9.023 * [backup-simplify]: Simplify (+ 0 0) into 0
9.023 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0
9.025 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
9.027 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0
9.029 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
9.029 * [taylor]: Taking taylor expansion of 0 in k
9.029 * [backup-simplify]: Simplify 0 into 0
9.029 * [backup-simplify]: Simplify 0 into 0
9.029 * [backup-simplify]: Simplify 0 into 0
9.029 * [backup-simplify]: Simplify 0 into 0
9.030 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.031 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
9.037 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2.0 PI) 1)))) 6) into 0
9.037 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
9.038 * [backup-simplify]: Simplify (+ 0 0) into 0
9.039 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0
9.040 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
9.042 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0
9.044 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
9.044 * [taylor]: Taking taylor expansion of 0 in k
9.044 * [backup-simplify]: Simplify 0 into 0
9.045 * [backup-simplify]: Simplify 0 into 0
9.046 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))) into (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))
9.046 * * * [progress]: simplifying candidates
9.049 * [simplify]: Simplifying:
  (expm1 (* (* 2.0 PI) n))
  (log1p (* (* 2.0 PI) n))
  (* (* 2.0 PI) n)
  (* (* 2.0 PI) n)
  (+ (+ (log 2.0) (log PI)) (log n))
  (+ (log (* 2.0 PI)) (log n))
  (log (* (* 2.0 PI) n))
  (exp (* (* 2.0 PI) n))
  (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n))
  (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n))
  (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n)))
  (cbrt (* (* 2.0 PI) n))
  (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n))
  (sqrt (* (* 2.0 PI) n))
  (sqrt (* (* 2.0 PI) n))
  (* (* 2.0 PI) (* (cbrt n) (cbrt n)))
  (* (* 2.0 PI) (sqrt n))
  (* (* 2.0 PI) 1)
  (* PI n)
  (expm1 (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))
  (log1p (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))
  (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (log (sqrt k)))
  (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (log (sqrt k)))
  (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (log (sqrt k)))
  (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (log (sqrt k)))
  (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (sqrt k)))
  (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (sqrt k)))
  (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))
  (exp (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))
  (/ (* (* (* 1.0 1.0) 1.0) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (sqrt k) (sqrt k)) (sqrt k)))
  (/ (* (* (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (sqrt k) (sqrt k)) (sqrt k)))
  (* (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))))
  (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))
  (* (* (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))
  (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))
  (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))
  (- (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (- (sqrt k))
  (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (cbrt (sqrt k)))
  (/ 1.0 (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (cbrt k)))
  (/ 1.0 (sqrt (sqrt k)))
  (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k)))
  (/ 1.0 (sqrt 1))
  (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k))
  (/ 1.0 (sqrt (sqrt k)))
  (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k)))
  (/ 1.0 1)
  (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k))
  (/ 1 (sqrt k))
  (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k)))
  (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt 1))
  (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k)))
  (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 1)
  (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))
  (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))
  (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))
  (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))
  (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))
  (* 1 (/ (- 1.0 k) 2.0))
  (* 1 (/ (- 1.0 k) 2.0))
  (* 1 (/ (- 1.0 k) 2.0))
  (pow (* (* 2.0 PI) n) (/ 1.0 2.0))
  (pow (* (* 2.0 PI) n) (/ k 2.0))
  (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))))
  (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0)))
  (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)))
  (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1))
  (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0)))
  (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1))
  (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0)))
  (pow (* (* 2.0 PI) n) (/ 1 1))
  (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)))
  (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))
  (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0)))
  (pow (* (* 2.0 PI) n) (/ 1 1))
  (pow (* (* 2.0 PI) n) 1)
  (pow (* (* 2.0 PI) n) (- 1.0 k))
  (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))
  (pow n (/ (- 1.0 k) 2.0))
  (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))
  (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))
  (* 2.0 (* n PI))
  (* 2.0 (* n PI))
  (* 2.0 (* n PI))
  (- (+ (* +nan.0 (* (pow k 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))) (- (+ (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (- (+ (* +nan.0 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))) (- (+ (* +nan.0 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (- (+ (* +nan.0 (* k (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (- (+ (* +nan.0 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (- (+ (* +nan.0 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (- (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))))))))))))))))))))
  (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2))))))))
  (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))))))))
  (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))))
  (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k))))
  (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))
9.054 * * [simplify]: Extracting # 0 : cost  0
9.054 * * [simplify]: Extracting # 1 : cost  0
9.055 * * [simplify]: Extracting # 2 : cost  0
9.055 * * [simplify]: Extracting # 3 : cost  0
9.055 * * [simplify]: Extracting # 4 : cost  0
9.056 * * [simplify]: Extracting # 5 : cost  0
9.056 * * [simplify]: Extracting # 6 : cost  0
9.057 * * [simplify]: Extracting # 7 : cost  0
9.058 * * [simplify]: Extracting # 8 : cost  0
9.058 * * [simplify]: Extracting # 9 : cost  0
9.059 * * [simplify]: Extracting # 10 : cost  0
9.059 * * [simplify]: Extracting # 11 : cost  0
9.060 * * [simplify]: Extracting # 12 : cost  0
9.060 * * [simplify]: Extracting # 13 : cost  0
9.061 * * [simplify]: Extracting # 14 : cost  0
9.062 * * [simplify]: Extracting # 15 : cost  0
9.062 * * [simplify]: Extracting # 16 : cost  0
9.063 * * [simplify]: Extracting # 17 : cost  0
9.063 * * [simplify]: Extracting # 18 : cost  0
9.064 * * [simplify]: Extracting # 19 : cost  0
9.065 * * [simplify]: Extracting # 20 : cost  0
9.065 * * [simplify]: Extracting # 21 : cost  0
9.066 * * [simplify]: Extracting # 22 : cost  0
9.066 * * [simplify]: Extracting # 23 : cost  0
9.067 * * [simplify]: Extracting # 24 : cost  0
9.068 * * [simplify]: Extracting # 25 : cost  0
9.068 * * [simplify]: Extracting # 26 : cost  0
9.069 * * [simplify]: Extracting # 27 : cost  0
9.069 * * [simplify]: Extracting # 28 : cost  0
9.070 * * [simplify]: Extracting # 29 : cost  0
9.071 * * [simplify]: Extracting # 30 : cost  0
9.071 * * [simplify]: iteration  0 :  270  enodes  (cost  1898 )
9.198 * * [simplify]: Extracting # 0 : cost  0
9.200 * * [simplify]: Extracting # 1 : cost  0
9.202 * * [simplify]: Extracting # 2 : cost  0
9.204 * * [simplify]: Extracting # 3 : cost  0
9.206 * * [simplify]: Extracting # 4 : cost  0
9.208 * * [simplify]: Extracting # 5 : cost  0
9.210 * * [simplify]: Extracting # 6 : cost  0
9.212 * * [simplify]: Extracting # 7 : cost  0
9.214 * * [simplify]: Extracting # 8 : cost  0
9.217 * * [simplify]: iteration  1 :  775  enodes  (cost  1770 )
9.785 * * [simplify]: Extracting # 0 : cost  0
9.792 * * [simplify]: Extracting # 1 : cost  0
9.802 * * [simplify]: Extracting # 2 : cost  0
9.810 * * [simplify]: Extracting # 3 : cost  0
9.819 * * [simplify]: Extracting # 4 : cost  0
9.828 * * [simplify]: Extracting # 5 : cost  0
9.836 * * [simplify]: Extracting # 6 : cost  0
9.845 * * [simplify]: iteration  2 :  3649  enodes  (cost  1604 )
11.618 * * [simplify]: Extracting # 0 : cost  0
11.632 * * [simplify]: Extracting # 1 : cost  0
11.645 * * [simplify]: Extracting # 2 : cost  0
11.657 * * [simplify]: Extracting # 3 : cost  0
11.669 * * [simplify]: Extracting # 4 : cost  0
11.688 * * [simplify]: iteration done:  5000  enodes  (cost  1591 )
11.690 * [simplify]: Simplified to:
  (expm1 (* (* 2.0 PI) n))
  (log1p (* (* 2.0 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 n 3) (* (pow 2.0 3) (pow PI 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)
  (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)
  (* n PI)
  (expm1 (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))
  (log1p (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))
  (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))
  (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))
  (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))
  (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))
  (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))
  (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))
  (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))
  (exp (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))
  (/ (/ (pow (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (sqrt k)) k)
  (/ (/ (pow (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (sqrt k)) k)
  (* (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))))
  (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))
  (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)) 3)
  (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))
  (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))
  (- (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (- (sqrt k))
  (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (cbrt (sqrt k)))
  (/ 1.0 (fabs (cbrt k)))
  (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (cbrt k)))
  (/ 1.0 (sqrt (sqrt k)))
  (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k)))
  1.0
  (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k))
  (/ 1.0 (sqrt (sqrt k)))
  (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k)))
  1.0
  (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k))
  (/ 1 (sqrt k))
  (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 1.0) (fabs (cbrt k)))
  (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k)))
  (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k)))
  (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))
  (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (/ (- 1.0 k) 2.0)
  (/ (- 1.0 k) 2.0)
  (/ (- 1.0 k) 2.0)
  (pow (* (* 2.0 PI) n) (/ 1.0 2.0))
  (pow (* (* 2.0 PI) n) (/ k 2.0))
  (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))))
  (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0)))
  (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)))
  (pow (* (* 2.0 PI) n) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))))
  (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)))
  (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0)))
  (* 2.0 (* PI n))
  (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)))
  (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k)))
  (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0)))
  (* 2.0 (* PI n))
  (* 2.0 (* PI n))
  (pow (* 2.0 (* PI n)) (- 1.0 k))
  (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))
  (pow n (/ (- 1.0 k) 2.0))
  (log (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 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3)
  (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))
  (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))
  (* 2.0 (* PI n))
  (* 2.0 (* PI n))
  (* 2.0 (* PI n))
  (fma (- (* +nan.0 (pow k 2))) (pow (* (* 2.0 PI) n) 0.5) (fma (* +nan.0 (pow k 2)) (* (pow (* (* 2.0 PI) n) 0.5) (log n)) (fma (* (pow (* (* 2.0 PI) n) 0.5) (* (pow k 2) (log (* 2.0 PI)))) (- +nan.0) (fma (* (* +nan.0 k) (pow (* (* 2.0 PI) n) 0.5)) (log n) (fma (- (* +nan.0 (pow k 2))) (* (pow (log (* 2.0 PI)) 2) (pow (* (* 2.0 PI) n) 0.5)) (- (fma (pow (* (* 2.0 PI) n) 0.5) (* +nan.0 k) (- (* +nan.0 (* k (* (log (* 2.0 PI)) (pow (* (* 2.0 PI) n) 0.5)))) (* +nan.0 (- (* (pow (log n) 2) (* (pow (* (* 2.0 PI) n) 0.5) (pow k 2))) (pow (* (* 2.0 PI) n) 0.5))))) (* (pow k 2) (* (* (* (log (* 2.0 PI)) (pow (* (* 2.0 PI) n) 0.5)) (log n)) +nan.0))))))))
  (fma (- +nan.0) (/ (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) (pow k 3)) (* +nan.0 (- (/ (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) k) (/ (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) (pow k 2)))))
  (fma (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k) (- +nan.0) (* +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)))))))))
  (fma (- 0.5) (* k (fma (pow (* (* 2.0 PI) n) 0.5) (log (* 2.0 PI)) (* (pow (* (* 2.0 PI) n) 0.5) (log n)))) (fma (* 0.125 (pow k 2)) (fma (pow (log (* 2.0 PI)) 2) (pow (* (* 2.0 PI) n) 0.5) (* (pow (log n) 2) (pow (* (* 2.0 PI) n) 0.5))) (fma 0.25 (* (* (* (log (* 2.0 PI)) (pow (* (* 2.0 PI) n) 0.5)) (log n)) (pow k 2)) (pow (* (* 2.0 PI) n) 0.5))))
  (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k))
  (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))
11.691 * * * [progress]: adding candidates to table
12.316 * * [progress]: iteration 3 / 4
12.316 * * * [progress]: picking best candidate
12.376 * * * * [pick]: Picked  #<alt (λ (k n) (/ (* 1.0 (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (sqrt k)))>
12.376 * * * [progress]: localizing error
12.433 * * * [progress]: generating rewritten candidates
12.433 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1)
12.480 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1)
12.518 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2)
12.555 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
12.615 * * * [progress]: generating series expansions
12.615 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1)
12.617 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) into (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0)))
12.617 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) in (n k) around 0
12.617 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) in k
12.617 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI))))) in k
12.617 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI)))) in k
12.617 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in k
12.617 * [taylor]: Taking taylor expansion of (sqrt k) in k
12.617 * [taylor]: Taking taylor expansion of k in k
12.617 * [backup-simplify]: Simplify 0 into 0
12.617 * [backup-simplify]: Simplify 1 into 1
12.617 * [backup-simplify]: Simplify (sqrt 0) into 0
12.619 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
12.619 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k
12.619 * [taylor]: Taking taylor expansion of 1.0 in k
12.619 * [backup-simplify]: Simplify 1.0 into 1.0
12.619 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
12.620 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
12.620 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k
12.620 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k
12.620 * [taylor]: Taking taylor expansion of 2.0 in k
12.620 * [backup-simplify]: Simplify 2.0 into 2.0
12.620 * [taylor]: Taking taylor expansion of (* n PI) in k
12.620 * [taylor]: Taking taylor expansion of n in k
12.620 * [backup-simplify]: Simplify n into n
12.620 * [taylor]: Taking taylor expansion of PI in k
12.620 * [backup-simplify]: Simplify PI into PI
12.620 * [backup-simplify]: Simplify (* n PI) into (* n PI)
12.620 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI))
12.620 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI)))
12.621 * [backup-simplify]: Simplify (+ 0 (sqrt 1.0)) into (sqrt 1.0)
12.621 * [backup-simplify]: Simplify (* (sqrt 1.0) (log (* 2.0 (* n PI)))) into (* (sqrt 1.0) (log (* 2.0 (* n PI))))
12.622 * [backup-simplify]: Simplify (exp (* (sqrt 1.0) (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) (sqrt 1.0))
12.622 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) in n
12.622 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI))))) in n
12.622 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI)))) in n
12.622 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in n
12.622 * [taylor]: Taking taylor expansion of (sqrt k) in n
12.622 * [taylor]: Taking taylor expansion of k in n
12.622 * [backup-simplify]: Simplify k into k
12.622 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
12.622 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
12.622 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n
12.622 * [taylor]: Taking taylor expansion of 1.0 in n
12.622 * [backup-simplify]: Simplify 1.0 into 1.0
12.623 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
12.623 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
12.623 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n
12.623 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n
12.623 * [taylor]: Taking taylor expansion of 2.0 in n
12.623 * [backup-simplify]: Simplify 2.0 into 2.0
12.623 * [taylor]: Taking taylor expansion of (* n PI) in n
12.623 * [taylor]: Taking taylor expansion of n in n
12.624 * [backup-simplify]: Simplify 0 into 0
12.624 * [backup-simplify]: Simplify 1 into 1
12.624 * [taylor]: Taking taylor expansion of PI in n
12.624 * [backup-simplify]: Simplify PI into PI
12.624 * [backup-simplify]: Simplify (* 0 PI) into 0
12.624 * [backup-simplify]: Simplify (* 2.0 0) into 0
12.626 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
12.628 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI)
12.629 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
12.630 * [backup-simplify]: Simplify (+ (sqrt k) (sqrt 1.0)) into (+ (sqrt k) (sqrt 1.0))
12.631 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
12.632 * [backup-simplify]: Simplify (* (+ (sqrt k) (sqrt 1.0)) (+ (log (* 2.0 PI)) (log n))) into (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))
12.634 * [backup-simplify]: Simplify (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))) into (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0))))
12.634 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) in n
12.634 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI))))) in n
12.634 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI)))) in n
12.634 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in n
12.634 * [taylor]: Taking taylor expansion of (sqrt k) in n
12.634 * [taylor]: Taking taylor expansion of k in n
12.634 * [backup-simplify]: Simplify k into k
12.634 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
12.634 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
12.634 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n
12.634 * [taylor]: Taking taylor expansion of 1.0 in n
12.634 * [backup-simplify]: Simplify 1.0 into 1.0
12.634 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
12.635 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
12.635 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n
12.635 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n
12.635 * [taylor]: Taking taylor expansion of 2.0 in n
12.635 * [backup-simplify]: Simplify 2.0 into 2.0
12.635 * [taylor]: Taking taylor expansion of (* n PI) in n
12.635 * [taylor]: Taking taylor expansion of n in n
12.635 * [backup-simplify]: Simplify 0 into 0
12.635 * [backup-simplify]: Simplify 1 into 1
12.635 * [taylor]: Taking taylor expansion of PI in n
12.635 * [backup-simplify]: Simplify PI into PI
12.636 * [backup-simplify]: Simplify (* 0 PI) into 0
12.636 * [backup-simplify]: Simplify (* 2.0 0) into 0
12.638 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
12.639 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI)
12.640 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
12.640 * [backup-simplify]: Simplify (+ (sqrt k) (sqrt 1.0)) into (+ (sqrt k) (sqrt 1.0))
12.642 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
12.643 * [backup-simplify]: Simplify (* (+ (sqrt k) (sqrt 1.0)) (+ (log (* 2.0 PI)) (log n))) into (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))
12.644 * [backup-simplify]: Simplify (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))) into (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0))))
12.645 * [taylor]: Taking taylor expansion of (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))) in k
12.645 * [taylor]: Taking taylor expansion of (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0))) in k
12.645 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k
12.645 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k
12.645 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k
12.645 * [taylor]: Taking taylor expansion of 2.0 in k
12.645 * [backup-simplify]: Simplify 2.0 into 2.0
12.645 * [taylor]: Taking taylor expansion of PI in k
12.645 * [backup-simplify]: Simplify PI into PI
12.645 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
12.646 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
12.646 * [taylor]: Taking taylor expansion of (log n) in k
12.646 * [taylor]: Taking taylor expansion of n in k
12.646 * [backup-simplify]: Simplify n into n
12.646 * [backup-simplify]: Simplify (log n) into (log n)
12.646 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in k
12.647 * [taylor]: Taking taylor expansion of (sqrt k) in k
12.647 * [taylor]: Taking taylor expansion of k in k
12.647 * [backup-simplify]: Simplify 0 into 0
12.647 * [backup-simplify]: Simplify 1 into 1
12.647 * [backup-simplify]: Simplify (sqrt 0) into 0
12.648 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
12.648 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k
12.648 * [taylor]: Taking taylor expansion of 1.0 in k
12.648 * [backup-simplify]: Simplify 1.0 into 1.0
12.649 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
12.649 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
12.650 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n))
12.651 * [backup-simplify]: Simplify (+ 0 (sqrt 1.0)) into (sqrt 1.0)
12.653 * [backup-simplify]: Simplify (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0)) into (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0))
12.654 * [backup-simplify]: Simplify (exp (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0))) into (exp (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0)))
12.655 * [backup-simplify]: Simplify (exp (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0))) into (exp (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0)))
12.656 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
12.657 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0
12.659 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0
12.659 * [backup-simplify]: Simplify (+ 0 0) into 0
12.661 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
12.662 * [backup-simplify]: Simplify (+ (* (+ (sqrt k) (sqrt 1.0)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0
12.668 * [backup-simplify]: Simplify (* (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
12.668 * [taylor]: Taking taylor expansion of 0 in k
12.668 * [backup-simplify]: Simplify 0 into 0
12.668 * [backup-simplify]: Simplify 0 into 0
12.669 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
12.670 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0
12.672 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0
12.672 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
12.673 * [backup-simplify]: Simplify (+ 0 0) into 0
12.675 * [backup-simplify]: Simplify (+ (* (+ (log (* 2.0 PI)) (log n)) (- +nan.0)) (* 0 (sqrt 1.0))) into (- (+ (* +nan.0 (log (* 2.0 PI))) (- (* +nan.0 (log n)))))
12.678 * [backup-simplify]: Simplify (* (exp (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0))) (+ (* (/ (pow (- (+ (* +nan.0 (log (* 2.0 PI))) (- (* +nan.0 (log n))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (log (* 2.0 PI))) (- (* +nan.0 (log n)))) (exp (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0)))))
12.681 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (log (* 2.0 PI))) (- (* +nan.0 (log n)))) (exp (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0))))) into (* (+ (* +nan.0 (log (* 2.0 PI))) (- (* +nan.0 (log n)))) (exp (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0))))
12.683 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
12.684 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
12.687 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0
12.688 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
12.689 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
12.689 * [backup-simplify]: Simplify (+ 0 0) into 0
12.691 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
12.692 * [backup-simplify]: Simplify (+ (* (+ (sqrt k) (sqrt 1.0)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0
12.695 * [backup-simplify]: Simplify (* (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
12.695 * [taylor]: Taking taylor expansion of 0 in k
12.695 * [backup-simplify]: Simplify 0 into 0
12.695 * [backup-simplify]: Simplify 0 into 0
12.695 * [backup-simplify]: Simplify 0 into 0
12.698 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
12.699 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
12.700 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
12.701 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0
12.704 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0
12.705 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
12.706 * [backup-simplify]: Simplify (+ 0 0) into 0
12.708 * [backup-simplify]: Simplify (+ (* (+ (log (* 2.0 PI)) (log n)) (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 (sqrt 1.0)))) into (- (+ (* +nan.0 (log (* 2.0 PI))) (- (* +nan.0 (log n)))))
12.713 * [backup-simplify]: Simplify (* (exp (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0))) (+ (* (/ (pow (- (+ (* +nan.0 (log (* 2.0 PI))) (- (* +nan.0 (log n))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (log (* 2.0 PI))) (- (* +nan.0 (log n))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (pow (log (* 2.0 PI)) 2)) (- (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (* (log (* 2.0 PI)) (log n))))))))))) (exp (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0)))))
12.721 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (pow (log (* 2.0 PI)) 2)) (- (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (* (log (* 2.0 PI)) (log n))))))))))) (exp (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0))))) into (* (+ (* +nan.0 (* (log (* 2.0 PI)) (log n))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log (* 2.0 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0))))
12.734 * [backup-simplify]: Simplify (+ (* (* (+ (* +nan.0 (* (log (* 2.0 PI)) (log n))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log (* 2.0 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0)))) (pow (* k 1) 2)) (+ (* (* (+ (* +nan.0 (log (* 2.0 PI))) (- (* +nan.0 (log n)))) (exp (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0)))) (* k 1)) (exp (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0))))) into (- (exp (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0))) (+ (* +nan.0 (* (pow k 2) (* (exp (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0))) (pow (log n) 2)))) (- (+ (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (exp (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0)))))) (- (+ (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0))) (log n))))) (- (+ (* +nan.0 (* (pow k 2) (* (exp (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0))) (log n)))) (- (+ (* +nan.0 (* k (* (log (* 2.0 PI)) (exp (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0)))))) (- (+ (* +nan.0 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0)))))) (- (* +nan.0 (* k (* (exp (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0))) (log n)))))))))))))))))
12.735 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) into (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))
12.735 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in (n k) around 0
12.735 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in k
12.735 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n))))) in k
12.736 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n)))) in k
12.736 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in k
12.736 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k
12.736 * [taylor]: Taking taylor expansion of 1.0 in k
12.736 * [backup-simplify]: Simplify 1.0 into 1.0
12.736 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
12.737 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
12.737 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
12.737 * [taylor]: Taking taylor expansion of (/ 1 k) in k
12.737 * [taylor]: Taking taylor expansion of k in k
12.737 * [backup-simplify]: Simplify 0 into 0
12.737 * [backup-simplify]: Simplify 1 into 1
12.737 * [backup-simplify]: Simplify (/ 1 1) into 1
12.737 * [backup-simplify]: Simplify (sqrt 0) into 0
12.739 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
12.739 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k
12.739 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k
12.739 * [taylor]: Taking taylor expansion of 2.0 in k
12.739 * [backup-simplify]: Simplify 2.0 into 2.0
12.739 * [taylor]: Taking taylor expansion of (/ PI n) in k
12.739 * [taylor]: Taking taylor expansion of PI in k
12.739 * [backup-simplify]: Simplify PI into PI
12.739 * [taylor]: Taking taylor expansion of n in k
12.739 * [backup-simplify]: Simplify n into n
12.739 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
12.739 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n))
12.739 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n)))
12.740 * [backup-simplify]: Simplify (+ 0 0) into 0
12.740 * [backup-simplify]: Simplify (* 0 (log (* 2.0 (/ PI n)))) into 0
12.740 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0
12.741 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ PI n))) into 0
12.741 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 (/ PI n)) 1)))) 1) into 0
12.742 * [backup-simplify]: Simplify (+ (sqrt 1.0) +nan.0) into (- (sqrt 1.0) +nan.0)
12.743 * [backup-simplify]: Simplify (+ (* 0 0) (* (- (sqrt 1.0) +nan.0) (log (* 2.0 (/ PI n))))) into (- (* (sqrt 1.0) (log (* 2.0 (/ PI n)))) (* +nan.0 (log (* 2.0 (/ PI n)))))
12.744 * [backup-simplify]: Simplify (exp (- (* (sqrt 1.0) (log (* 2.0 (/ PI n)))) (* +nan.0 (log (* 2.0 (/ PI n)))))) into (exp (- (* (sqrt 1.0) (log (* 2.0 (/ PI n)))) (* +nan.0 (log (* 2.0 (/ PI n))))))
12.744 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in n
12.744 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n))))) in n
12.744 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n)))) in n
12.744 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in n
12.744 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n
12.744 * [taylor]: Taking taylor expansion of 1.0 in n
12.744 * [backup-simplify]: Simplify 1.0 into 1.0
12.745 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
12.745 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
12.745 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
12.745 * [taylor]: Taking taylor expansion of (/ 1 k) in n
12.745 * [taylor]: Taking taylor expansion of k in n
12.745 * [backup-simplify]: Simplify k into k
12.745 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
12.746 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
12.746 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
12.746 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
12.746 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n
12.746 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n
12.746 * [taylor]: Taking taylor expansion of 2.0 in n
12.746 * [backup-simplify]: Simplify 2.0 into 2.0
12.746 * [taylor]: Taking taylor expansion of (/ PI n) in n
12.746 * [taylor]: Taking taylor expansion of PI in n
12.746 * [backup-simplify]: Simplify PI into PI
12.746 * [taylor]: Taking taylor expansion of n in n
12.746 * [backup-simplify]: Simplify 0 into 0
12.746 * [backup-simplify]: Simplify 1 into 1
12.747 * [backup-simplify]: Simplify (/ PI 1) into PI
12.747 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
12.748 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
12.748 * [backup-simplify]: Simplify (+ (sqrt 1.0) (sqrt (/ 1 k))) into (+ (sqrt 1.0) (sqrt (/ 1 k)))
12.750 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
12.751 * [backup-simplify]: Simplify (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))
12.753 * [backup-simplify]: Simplify (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) into (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))))
12.753 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in n
12.753 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n))))) in n
12.753 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n)))) in n
12.753 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in n
12.753 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n
12.753 * [taylor]: Taking taylor expansion of 1.0 in n
12.753 * [backup-simplify]: Simplify 1.0 into 1.0
12.753 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
12.754 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
12.754 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
12.754 * [taylor]: Taking taylor expansion of (/ 1 k) in n
12.754 * [taylor]: Taking taylor expansion of k in n
12.754 * [backup-simplify]: Simplify k into k
12.754 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
12.754 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
12.754 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
12.754 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
12.754 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n
12.754 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n
12.755 * [taylor]: Taking taylor expansion of 2.0 in n
12.755 * [backup-simplify]: Simplify 2.0 into 2.0
12.755 * [taylor]: Taking taylor expansion of (/ PI n) in n
12.755 * [taylor]: Taking taylor expansion of PI in n
12.755 * [backup-simplify]: Simplify PI into PI
12.755 * [taylor]: Taking taylor expansion of n in n
12.755 * [backup-simplify]: Simplify 0 into 0
12.755 * [backup-simplify]: Simplify 1 into 1
12.755 * [backup-simplify]: Simplify (/ PI 1) into PI
12.756 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
12.757 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
12.757 * [backup-simplify]: Simplify (+ (sqrt 1.0) (sqrt (/ 1 k))) into (+ (sqrt 1.0) (sqrt (/ 1 k)))
12.759 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
12.760 * [backup-simplify]: Simplify (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))
12.762 * [backup-simplify]: Simplify (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) into (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))))
12.762 * [taylor]: Taking taylor expansion of (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) in k
12.762 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in k
12.762 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k
12.762 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k
12.762 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k
12.762 * [taylor]: Taking taylor expansion of 2.0 in k
12.762 * [backup-simplify]: Simplify 2.0 into 2.0
12.762 * [taylor]: Taking taylor expansion of PI in k
12.762 * [backup-simplify]: Simplify PI into PI
12.762 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
12.763 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
12.763 * [taylor]: Taking taylor expansion of (log n) in k
12.763 * [taylor]: Taking taylor expansion of n in k
12.763 * [backup-simplify]: Simplify n into n
12.763 * [backup-simplify]: Simplify (log n) into (log n)
12.764 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in k
12.764 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k
12.764 * [taylor]: Taking taylor expansion of 1.0 in k
12.764 * [backup-simplify]: Simplify 1.0 into 1.0
12.764 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
12.765 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
12.765 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
12.765 * [taylor]: Taking taylor expansion of (/ 1 k) in k
12.765 * [taylor]: Taking taylor expansion of k in k
12.765 * [backup-simplify]: Simplify 0 into 0
12.765 * [backup-simplify]: Simplify 1 into 1
12.765 * [backup-simplify]: Simplify (/ 1 1) into 1
12.765 * [backup-simplify]: Simplify (sqrt 0) into 0
12.767 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
12.767 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
12.768 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n))
12.768 * [backup-simplify]: Simplify (+ 0 0) into 0
12.769 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) 0) into 0
12.770 * [backup-simplify]: Simplify (+ (sqrt 1.0) +nan.0) into (- (sqrt 1.0) +nan.0)
12.771 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0
12.772 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0
12.773 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
12.774 * [backup-simplify]: Simplify (- 0) into 0
12.774 * [backup-simplify]: Simplify (+ 0 0) into 0
12.776 * [backup-simplify]: Simplify (+ (* (- (log (* 2.0 PI)) (log n)) (- (sqrt 1.0) +nan.0)) (* 0 0)) into (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (* 2.0 PI))) (- (* (sqrt 1.0) (log n)) (* +nan.0 (log n)))))
12.780 * [backup-simplify]: Simplify (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (* 2.0 PI))) (- (* (sqrt 1.0) (log n)) (* +nan.0 (log n)))))) into (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (* 2.0 PI))) (- (* (sqrt 1.0) (log n)) (* +nan.0 (log n))))))
12.785 * [backup-simplify]: Simplify (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (* 2.0 PI))) (- (* (sqrt 1.0) (log n)) (* +nan.0 (log n)))))) into (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (* 2.0 PI))) (- (* (sqrt 1.0) (log n)) (* +nan.0 (log n))))))
12.786 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
12.786 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0
12.788 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0
12.788 * [backup-simplify]: Simplify (+ 0 0) into 0
12.790 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
12.791 * [backup-simplify]: Simplify (+ (* (+ (sqrt 1.0) (sqrt (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0
12.793 * [backup-simplify]: Simplify (* (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0
12.793 * [taylor]: Taking taylor expansion of 0 in k
12.793 * [backup-simplify]: Simplify 0 into 0
12.793 * [backup-simplify]: Simplify 0 into 0
12.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.797 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
12.797 * [backup-simplify]: Simplify (+ 0 +nan.0) into (- +nan.0)
12.798 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0
12.801 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0
12.808 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
12.808 * [backup-simplify]: Simplify (- 0) into 0
12.809 * [backup-simplify]: Simplify (+ 0 0) into 0
12.811 * [backup-simplify]: Simplify (+ (* (- (log (* 2.0 PI)) (log n)) (- +nan.0)) (+ (* 0 (- (sqrt 1.0) +nan.0)) (* 0 0))) into (- (+ (* +nan.0 (log (* 2.0 PI))) (- (* +nan.0 (log n)))))
12.817 * [backup-simplify]: Simplify (* (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (* 2.0 PI))) (- (* (sqrt 1.0) (log n)) (* +nan.0 (log n)))))) (+ (* (/ (pow (- (+ (* +nan.0 (log (* 2.0 PI))) (- (* +nan.0 (log n))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (log (* 2.0 PI))) (- (* +nan.0 (log n)))) (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (* 2.0 PI))) (- (* (sqrt 1.0) (log n)) (* +nan.0 (log n))))))))
12.822 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (log (* 2.0 PI))) (- (* +nan.0 (log n)))) (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (* 2.0 PI))) (- (* (sqrt 1.0) (log n)) (* +nan.0 (log n)))))))) into (* (+ (* +nan.0 (log (* 2.0 PI))) (- (* +nan.0 (log n)))) (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (* 2.0 PI))) (- (* (sqrt 1.0) (log n)) (* +nan.0 (log n)))))))
12.823 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.824 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0
12.827 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0
12.828 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
12.829 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
12.829 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
12.830 * [backup-simplify]: Simplify (+ 0 0) into 0
12.831 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
12.833 * [backup-simplify]: Simplify (+ (* (+ (sqrt 1.0) (sqrt (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0
12.835 * [backup-simplify]: Simplify (* (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
12.835 * [taylor]: Taking taylor expansion of 0 in k
12.835 * [backup-simplify]: Simplify 0 into 0
12.835 * [backup-simplify]: Simplify 0 into 0
12.835 * [backup-simplify]: Simplify 0 into 0
12.836 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
12.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.841 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
12.841 * [backup-simplify]: Simplify (+ 0 +nan.0) into (- +nan.0)
12.842 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
12.847 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0
12.850 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0
12.850 * [backup-simplify]: Simplify (- 0) into 0
12.850 * [backup-simplify]: Simplify (+ 0 0) into 0
12.853 * [backup-simplify]: Simplify (+ (* (- (log (* 2.0 PI)) (log n)) (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- (sqrt 1.0) +nan.0)) (* 0 0)))) into (- (+ (* +nan.0 (log (* 2.0 PI))) (- (* +nan.0 (log n)))))
12.862 * [backup-simplify]: Simplify (* (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (* 2.0 PI))) (- (* (sqrt 1.0) (log n)) (* +nan.0 (log n)))))) (+ (* (/ (pow (- (+ (* +nan.0 (log (* 2.0 PI))) (- (* +nan.0 (log n))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (log (* 2.0 PI))) (- (* +nan.0 (log n))))) 1) 1)))) into (* -1 (* (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (* 2.0 PI))) (- (* (sqrt 1.0) (log n)) (* +nan.0 (log n)))))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (pow (log (* 2.0 PI)) 2)) (- (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (* (log (* 2.0 PI)) (log n)))))))))))))
12.872 * [backup-simplify]: Simplify (* -1 (* (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (* 2.0 PI))) (- (* (sqrt 1.0) (log n)) (* +nan.0 (log n)))))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (pow (log (* 2.0 PI)) 2)) (- (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (* (log (* 2.0 PI)) (log n))))))))))))) into (* (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (* 2.0 PI))) (- (* (sqrt 1.0) (log n)) (* +nan.0 (log n)))))) (+ (* +nan.0 (* (log (* 2.0 PI)) (log n))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log (* 2.0 PI)) 2)) (- (* +nan.0 (log n)))))))))))
12.894 * [backup-simplify]: Simplify (+ (* (* (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (* 2.0 PI))) (- (* (sqrt 1.0) (log (/ 1 n))) (* +nan.0 (log (/ 1 n))))))) (+ (* +nan.0 (* (log (* 2.0 PI)) (log (/ 1 n)))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (pow (log (/ 1 n)) 2)) (- (+ (* +nan.0 (pow (log (* 2.0 PI)) 2)) (- (* +nan.0 (log (/ 1 n)))))))))))) (pow (* (/ 1 k) 1) 2)) (+ (* (* (+ (* +nan.0 (log (* 2.0 PI))) (- (* +nan.0 (log (/ 1 n))))) (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (* 2.0 PI))) (- (* (sqrt 1.0) (log (/ 1 n))) (* +nan.0 (log (/ 1 n)))))))) (* (/ 1 k) 1)) (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (* 2.0 PI))) (- (* (sqrt 1.0) (log (/ 1 n))) (* +nan.0 (log (/ 1 n))))))))) into (- (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (/ 1 n))) (- (* (log (/ 1 n)) (sqrt 1.0)) (* +nan.0 (log (* 2.0 PI))))))) (+ (* +nan.0 (/ (* (pow (log (* 2.0 PI)) 2) (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (/ 1 n))) (- (* (log (/ 1 n)) (sqrt 1.0)) (* +nan.0 (log (* 2.0 PI)))))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (pow (log (/ 1 n)) 2) (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (/ 1 n))) (- (* (log (/ 1 n)) (sqrt 1.0)) (* +nan.0 (log (* 2.0 PI)))))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (* 2.0 PI)) (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (/ 1 n))) (- (* (log (/ 1 n)) (sqrt 1.0)) (* +nan.0 (log (* 2.0 PI)))))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ 1 n)) (* (log (* 2.0 PI)) (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (/ 1 n))) (- (* (log (/ 1 n)) (sqrt 1.0)) (* +nan.0 (log (* 2.0 PI))))))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (* 2.0 PI)) (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (/ 1 n))) (- (* (log (/ 1 n)) (sqrt 1.0)) (* +nan.0 (log (* 2.0 PI)))))))) k)) (- (+ (* +nan.0 (/ (* (log (/ 1 n)) (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (/ 1 n))) (- (* (log (/ 1 n)) (sqrt 1.0)) (* +nan.0 (log (* 2.0 PI)))))))) k)) (- (* +nan.0 (/ (* (log (/ 1 n)) (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (/ 1 n))) (- (* (log (/ 1 n)) (sqrt 1.0)) (* +nan.0 (log (* 2.0 PI)))))))) (pow k 2))))))))))))))))
12.895 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 (- n))) (+ (sqrt 1.0) (sqrt (/ 1 (- k))))) into (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0)))
12.895 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) in (n k) around 0
12.896 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) in k
12.896 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n))))) in k
12.896 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n)))) in k
12.896 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in k
12.896 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
12.896 * [taylor]: Taking taylor expansion of (/ -1 k) in k
12.896 * [taylor]: Taking taylor expansion of -1 in k
12.896 * [backup-simplify]: Simplify -1 into -1
12.896 * [taylor]: Taking taylor expansion of k in k
12.896 * [backup-simplify]: Simplify 0 into 0
12.896 * [backup-simplify]: Simplify 1 into 1
12.896 * [backup-simplify]: Simplify (/ -1 1) into -1
12.897 * [backup-simplify]: Simplify (sqrt 0) into 0
12.898 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
12.898 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k
12.898 * [taylor]: Taking taylor expansion of 1.0 in k
12.898 * [backup-simplify]: Simplify 1.0 into 1.0
12.898 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
12.899 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
12.899 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k
12.899 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k
12.899 * [taylor]: Taking taylor expansion of -2.0 in k
12.899 * [backup-simplify]: Simplify -2.0 into -2.0
12.899 * [taylor]: Taking taylor expansion of (/ PI n) in k
12.899 * [taylor]: Taking taylor expansion of PI in k
12.899 * [backup-simplify]: Simplify PI into PI
12.899 * [taylor]: Taking taylor expansion of n in k
12.899 * [backup-simplify]: Simplify n into n
12.899 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
12.899 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n))
12.899 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n)))
12.900 * [backup-simplify]: Simplify (+ 0 0) into 0
12.900 * [backup-simplify]: Simplify (* 0 (log (* -2.0 (/ PI n)))) into 0
12.900 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0
12.901 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 (/ PI n))) into 0
12.901 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 (/ PI n)) 1)))) 1) into 0
12.902 * [backup-simplify]: Simplify (+ +nan.0 (sqrt 1.0)) into (- (sqrt 1.0) +nan.0)
12.903 * [backup-simplify]: Simplify (+ (* 0 0) (* (- (sqrt 1.0) +nan.0) (log (* -2.0 (/ PI n))))) into (- (* (sqrt 1.0) (log (* -2.0 (/ PI n)))) (* +nan.0 (log (* -2.0 (/ PI n)))))
12.904 * [backup-simplify]: Simplify (exp (- (* (sqrt 1.0) (log (* -2.0 (/ PI n)))) (* +nan.0 (log (* -2.0 (/ PI n)))))) into (exp (- (* (sqrt 1.0) (log (* -2.0 (/ PI n)))) (* +nan.0 (log (* -2.0 (/ PI n))))))
12.904 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) in n
12.904 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n))))) in n
12.904 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n)))) in n
12.904 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in n
12.904 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
12.904 * [taylor]: Taking taylor expansion of (/ -1 k) in n
12.904 * [taylor]: Taking taylor expansion of -1 in n
12.904 * [backup-simplify]: Simplify -1 into -1
12.904 * [taylor]: Taking taylor expansion of k in n
12.904 * [backup-simplify]: Simplify k into k
12.904 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
12.904 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
12.904 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
12.905 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
12.905 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n
12.905 * [taylor]: Taking taylor expansion of 1.0 in n
12.905 * [backup-simplify]: Simplify 1.0 into 1.0
12.905 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
12.906 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
12.906 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n
12.906 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n
12.906 * [taylor]: Taking taylor expansion of -2.0 in n
12.906 * [backup-simplify]: Simplify -2.0 into -2.0
12.906 * [taylor]: Taking taylor expansion of (/ PI n) in n
12.906 * [taylor]: Taking taylor expansion of PI in n
12.906 * [backup-simplify]: Simplify PI into PI
12.906 * [taylor]: Taking taylor expansion of n in n
12.906 * [backup-simplify]: Simplify 0 into 0
12.906 * [backup-simplify]: Simplify 1 into 1
12.906 * [backup-simplify]: Simplify (/ PI 1) into PI
12.907 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
12.908 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI))
12.908 * [backup-simplify]: Simplify (+ (sqrt (/ -1 k)) (sqrt 1.0)) into (+ (sqrt (/ -1 k)) (sqrt 1.0))
12.910 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
12.911 * [backup-simplify]: Simplify (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n))) into (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))
12.913 * [backup-simplify]: Simplify (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))) into (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n))))
12.913 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) in n
12.913 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n))))) in n
12.913 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n)))) in n
12.913 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in n
12.913 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
12.913 * [taylor]: Taking taylor expansion of (/ -1 k) in n
12.913 * [taylor]: Taking taylor expansion of -1 in n
12.913 * [backup-simplify]: Simplify -1 into -1
12.913 * [taylor]: Taking taylor expansion of k in n
12.913 * [backup-simplify]: Simplify k into k
12.913 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
12.913 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
12.913 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
12.913 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
12.913 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n
12.913 * [taylor]: Taking taylor expansion of 1.0 in n
12.913 * [backup-simplify]: Simplify 1.0 into 1.0
12.914 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
12.914 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
12.915 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n
12.915 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n
12.915 * [taylor]: Taking taylor expansion of -2.0 in n
12.915 * [backup-simplify]: Simplify -2.0 into -2.0
12.915 * [taylor]: Taking taylor expansion of (/ PI n) in n
12.915 * [taylor]: Taking taylor expansion of PI in n
12.915 * [backup-simplify]: Simplify PI into PI
12.915 * [taylor]: Taking taylor expansion of n in n
12.915 * [backup-simplify]: Simplify 0 into 0
12.915 * [backup-simplify]: Simplify 1 into 1
12.915 * [backup-simplify]: Simplify (/ PI 1) into PI
12.916 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
12.918 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI))
12.919 * [backup-simplify]: Simplify (+ (sqrt (/ -1 k)) (sqrt 1.0)) into (+ (sqrt (/ -1 k)) (sqrt 1.0))
12.921 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
12.922 * [backup-simplify]: Simplify (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n))) into (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))
12.924 * [backup-simplify]: Simplify (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))) into (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n))))
12.924 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))) in k
12.924 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n))) in k
12.924 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in k
12.924 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
12.924 * [taylor]: Taking taylor expansion of (/ -1 k) in k
12.924 * [taylor]: Taking taylor expansion of -1 in k
12.924 * [backup-simplify]: Simplify -1 into -1
12.924 * [taylor]: Taking taylor expansion of k in k
12.924 * [backup-simplify]: Simplify 0 into 0
12.924 * [backup-simplify]: Simplify 1 into 1
12.925 * [backup-simplify]: Simplify (/ -1 1) into -1
12.925 * [backup-simplify]: Simplify (sqrt 0) into 0
12.926 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
12.926 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k
12.926 * [taylor]: Taking taylor expansion of 1.0 in k
12.926 * [backup-simplify]: Simplify 1.0 into 1.0
12.927 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
12.927 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
12.927 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k
12.927 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k
12.927 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k
12.927 * [taylor]: Taking taylor expansion of -2.0 in k
12.928 * [backup-simplify]: Simplify -2.0 into -2.0
12.928 * [taylor]: Taking taylor expansion of PI in k
12.928 * [backup-simplify]: Simplify PI into PI
12.928 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
12.929 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI))
12.929 * [taylor]: Taking taylor expansion of (log n) in k
12.929 * [taylor]: Taking taylor expansion of n in k
12.929 * [backup-simplify]: Simplify n into n
12.929 * [backup-simplify]: Simplify (log n) into (log n)
12.930 * [backup-simplify]: Simplify (+ 0 0) into 0
12.930 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
12.931 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n))
12.932 * [backup-simplify]: Simplify (* 0 (- (log (* -2.0 PI)) (log n))) into 0
12.932 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0
12.934 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0
12.935 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
12.935 * [backup-simplify]: Simplify (- 0) into 0
12.936 * [backup-simplify]: Simplify (+ 0 0) into 0
12.937 * [backup-simplify]: Simplify (+ +nan.0 (sqrt 1.0)) into (- (sqrt 1.0) +nan.0)
12.944 * [backup-simplify]: Simplify (+ (* 0 0) (* (- (sqrt 1.0) +nan.0) (- (log (* -2.0 PI)) (log n)))) into (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* +nan.0 (log (* -2.0 PI))) (- (* (sqrt 1.0) (log n)) (* +nan.0 (log n)))))
12.948 * [backup-simplify]: Simplify (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* +nan.0 (log (* -2.0 PI))) (- (* (sqrt 1.0) (log n)) (* +nan.0 (log n)))))) into (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log n)) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI)))))))))
12.953 * [backup-simplify]: Simplify (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log n)) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))))) into (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log n)) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI)))))))))
12.954 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
12.956 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0
12.958 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0
12.959 * [backup-simplify]: Simplify (+ 0 0) into 0
12.962 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
12.963 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0
12.966 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
12.966 * [taylor]: Taking taylor expansion of 0 in k
12.966 * [backup-simplify]: Simplify 0 into 0
12.966 * [backup-simplify]: Simplify 0 into 0
12.968 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0
12.971 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0
12.973 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
12.973 * [backup-simplify]: Simplify (- 0) into 0
12.974 * [backup-simplify]: Simplify (+ 0 0) into 0
12.974 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.977 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
12.977 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
12.980 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- (sqrt 1.0) +nan.0) 0) (* (- +nan.0) (- (log (* -2.0 PI)) (log n))))) into (- (+ (* +nan.0 (log (* -2.0 PI))) (- (* +nan.0 (log n)))))
12.986 * [backup-simplify]: Simplify (* (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* +nan.0 (log (* -2.0 PI))) (- (* (sqrt 1.0) (log n)) (* +nan.0 (log n)))))) (+ (* (/ (pow (- (+ (* +nan.0 (log (* -2.0 PI))) (- (* +nan.0 (log n))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))) (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log n)) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI)))))))))))
12.993 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))) (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log n)) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))))))) into (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))) (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log n)) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))))))
12.994 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.995 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0
12.999 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0
12.999 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
13.000 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
13.001 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
13.002 * [backup-simplify]: Simplify (+ 0 0) into 0
13.003 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
13.005 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0
13.007 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
13.007 * [taylor]: Taking taylor expansion of 0 in k
13.007 * [backup-simplify]: Simplify 0 into 0
13.008 * [backup-simplify]: Simplify 0 into 0
13.008 * [backup-simplify]: Simplify 0 into 0
13.009 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
13.015 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2.0 PI) 1)))) 6) into 0
13.017 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0
13.018 * [backup-simplify]: Simplify (- 0) into 0
13.018 * [backup-simplify]: Simplify (+ 0 0) into 0
13.019 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.023 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
13.024 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
13.024 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
13.027 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- (sqrt 1.0) +nan.0) 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (- (log (* -2.0 PI)) (log n)))))) into (- (+ (* +nan.0 (log (* -2.0 PI))) (- (* +nan.0 (log n)))))
13.035 * [backup-simplify]: Simplify (* (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* +nan.0 (log (* -2.0 PI))) (- (* (sqrt 1.0) (log n)) (* +nan.0 (log n)))))) (+ (* (/ (pow (- (+ (* +nan.0 (log (* -2.0 PI))) (- (* +nan.0 (log n))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (log (* -2.0 PI))) (- (* +nan.0 (log n))))) 1) 1)))) into (* -1 (* (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log n)) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))))) (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log (* -2.0 PI)) 2)) (- (+ (* +nan.0 (* (log n) (log (* -2.0 PI)))) (- (* +nan.0 (log (* -2.0 PI)))))))))))))
13.047 * [backup-simplify]: Simplify (* -1 (* (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log n)) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))))) (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log (* -2.0 PI)) 2)) (- (+ (* +nan.0 (* (log n) (log (* -2.0 PI)))) (- (* +nan.0 (log (* -2.0 PI))))))))))))) into (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log (* -2.0 PI)) 2)) (- (+ (* +nan.0 (* (log n) (log (* -2.0 PI)))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))))))) (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log n)) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))))))
13.075 * [backup-simplify]: Simplify (+ (* (* (+ (* +nan.0 (pow (log (/ 1 (- n))) 2)) (- (+ (* +nan.0 (pow (log (* -2.0 PI)) 2)) (- (+ (* +nan.0 (* (log (/ 1 (- n))) (log (* -2.0 PI)))) (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2.0 PI))))))))))) (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log (/ 1 (- n)))) (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2.0 PI)))))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (* (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2.0 PI))))) (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log (/ 1 (- n)))) (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2.0 PI)))))))))) (* (/ 1 (- k)) 1)) (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log (/ 1 (- n)))) (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2.0 PI))))))))))) into (- (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log (/ -1 n))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2.0 PI))))))))) (+ (* +nan.0 (/ (* (log (* -2.0 PI)) (* (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log (/ -1 n))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2.0 PI))))))))) (log (/ -1 n)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log (/ -1 n))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2.0 PI))))))))) (log (* -2.0 PI))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log (/ -1 n))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2.0 PI))))))))) (log (/ -1 n))) k)) (- (+ (* +nan.0 (/ (* (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log (/ -1 n))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2.0 PI))))))))) (log (/ -1 n))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log (/ -1 n))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2.0 PI))))))))) (log (* -2.0 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log (/ -1 n))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2.0 PI))))))))) (pow (log (* -2.0 PI)) 2)) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log (/ -1 n))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2.0 PI))))))))) (pow (log (/ -1 n)) 2)) (pow k 2))))))))))))))))
13.075 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1)
13.075 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI))
13.075 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0
13.075 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n
13.076 * [taylor]: Taking taylor expansion of 2.0 in n
13.076 * [backup-simplify]: Simplify 2.0 into 2.0
13.076 * [taylor]: Taking taylor expansion of (* n PI) in n
13.076 * [taylor]: Taking taylor expansion of n in n
13.076 * [backup-simplify]: Simplify 0 into 0
13.076 * [backup-simplify]: Simplify 1 into 1
13.076 * [taylor]: Taking taylor expansion of PI in n
13.076 * [backup-simplify]: Simplify PI into PI
13.076 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n
13.076 * [taylor]: Taking taylor expansion of 2.0 in n
13.076 * [backup-simplify]: Simplify 2.0 into 2.0
13.076 * [taylor]: Taking taylor expansion of (* n PI) in n
13.076 * [taylor]: Taking taylor expansion of n in n
13.076 * [backup-simplify]: Simplify 0 into 0
13.076 * [backup-simplify]: Simplify 1 into 1
13.076 * [taylor]: Taking taylor expansion of PI in n
13.076 * [backup-simplify]: Simplify PI into PI
13.076 * [backup-simplify]: Simplify (* 0 PI) into 0
13.081 * [backup-simplify]: Simplify (* 2.0 0) into 0
13.082 * [backup-simplify]: Simplify 0 into 0
13.083 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
13.085 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI)
13.085 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
13.086 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
13.087 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0
13.087 * [backup-simplify]: Simplify 0 into 0
13.088 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
13.089 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
13.089 * [backup-simplify]: Simplify 0 into 0
13.091 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
13.092 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
13.092 * [backup-simplify]: Simplify 0 into 0
13.093 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
13.095 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
13.095 * [backup-simplify]: Simplify 0 into 0
13.096 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
13.098 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
13.098 * [backup-simplify]: Simplify 0 into 0
13.100 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
13.102 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
13.102 * [backup-simplify]: Simplify 0 into 0
13.102 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI))
13.103 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n))
13.103 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0
13.103 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n
13.103 * [taylor]: Taking taylor expansion of 2.0 in n
13.103 * [backup-simplify]: Simplify 2.0 into 2.0
13.103 * [taylor]: Taking taylor expansion of (/ PI n) in n
13.103 * [taylor]: Taking taylor expansion of PI in n
13.103 * [backup-simplify]: Simplify PI into PI
13.103 * [taylor]: Taking taylor expansion of n in n
13.103 * [backup-simplify]: Simplify 0 into 0
13.103 * [backup-simplify]: Simplify 1 into 1
13.104 * [backup-simplify]: Simplify (/ PI 1) into PI
13.104 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n
13.104 * [taylor]: Taking taylor expansion of 2.0 in n
13.104 * [backup-simplify]: Simplify 2.0 into 2.0
13.104 * [taylor]: Taking taylor expansion of (/ PI n) in n
13.104 * [taylor]: Taking taylor expansion of PI in n
13.104 * [backup-simplify]: Simplify PI into PI
13.104 * [taylor]: Taking taylor expansion of n in n
13.104 * [backup-simplify]: Simplify 0 into 0
13.104 * [backup-simplify]: Simplify 1 into 1
13.104 * [backup-simplify]: Simplify (/ PI 1) into PI
13.105 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
13.105 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
13.106 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
13.107 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0
13.107 * [backup-simplify]: Simplify 0 into 0
13.108 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.109 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0
13.109 * [backup-simplify]: Simplify 0 into 0
13.110 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.111 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
13.111 * [backup-simplify]: Simplify 0 into 0
13.113 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.114 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
13.114 * [backup-simplify]: Simplify 0 into 0
13.115 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.117 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
13.117 * [backup-simplify]: Simplify 0 into 0
13.118 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.119 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
13.119 * [backup-simplify]: Simplify 0 into 0
13.120 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI))
13.121 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n))
13.121 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0
13.121 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n
13.121 * [taylor]: Taking taylor expansion of -2.0 in n
13.121 * [backup-simplify]: Simplify -2.0 into -2.0
13.121 * [taylor]: Taking taylor expansion of (/ PI n) in n
13.121 * [taylor]: Taking taylor expansion of PI in n
13.121 * [backup-simplify]: Simplify PI into PI
13.121 * [taylor]: Taking taylor expansion of n in n
13.121 * [backup-simplify]: Simplify 0 into 0
13.121 * [backup-simplify]: Simplify 1 into 1
13.121 * [backup-simplify]: Simplify (/ PI 1) into PI
13.121 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n
13.121 * [taylor]: Taking taylor expansion of -2.0 in n
13.121 * [backup-simplify]: Simplify -2.0 into -2.0
13.121 * [taylor]: Taking taylor expansion of (/ PI n) in n
13.121 * [taylor]: Taking taylor expansion of PI in n
13.121 * [backup-simplify]: Simplify PI into PI
13.122 * [taylor]: Taking taylor expansion of n in n
13.122 * [backup-simplify]: Simplify 0 into 0
13.122 * [backup-simplify]: Simplify 1 into 1
13.122 * [backup-simplify]: Simplify (/ PI 1) into PI
13.123 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
13.123 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
13.124 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
13.124 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0
13.125 * [backup-simplify]: Simplify 0 into 0
13.126 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.126 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0
13.127 * [backup-simplify]: Simplify 0 into 0
13.128 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.129 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
13.129 * [backup-simplify]: Simplify 0 into 0
13.130 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.131 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
13.131 * [backup-simplify]: Simplify 0 into 0
13.132 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.134 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
13.134 * [backup-simplify]: Simplify 0 into 0
13.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.136 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
13.136 * [backup-simplify]: Simplify 0 into 0
13.137 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI))
13.137 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2)
13.138 * [backup-simplify]: Simplify (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) into (pow (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt k))))
13.138 * [approximate]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt k)))) in (n k) around 0
13.139 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt k)))) in k
13.139 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt k))) (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0)))))) in k
13.139 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt k))) (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))))) in k
13.139 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt k))) in k
13.139 * [taylor]: Taking taylor expansion of 0.5 in k
13.139 * [backup-simplify]: Simplify 0.5 into 0.5
13.139 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt k)) in k
13.139 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k
13.139 * [taylor]: Taking taylor expansion of 1.0 in k
13.139 * [backup-simplify]: Simplify 1.0 into 1.0
13.139 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
13.140 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
13.140 * [taylor]: Taking taylor expansion of (sqrt k) in k
13.140 * [taylor]: Taking taylor expansion of k in k
13.140 * [backup-simplify]: Simplify 0 into 0
13.140 * [backup-simplify]: Simplify 1 into 1
13.140 * [backup-simplify]: Simplify (sqrt 0) into 0
13.142 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
13.142 * [taylor]: Taking taylor expansion of (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0)))) in k
13.142 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) in k
13.142 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI))))) in k
13.142 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI)))) in k
13.142 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in k
13.142 * [taylor]: Taking taylor expansion of (sqrt k) in k
13.142 * [taylor]: Taking taylor expansion of k in k
13.142 * [backup-simplify]: Simplify 0 into 0
13.142 * [backup-simplify]: Simplify 1 into 1
13.142 * [backup-simplify]: Simplify (sqrt 0) into 0
13.143 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
13.143 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k
13.143 * [taylor]: Taking taylor expansion of 1.0 in k
13.143 * [backup-simplify]: Simplify 1.0 into 1.0
13.144 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
13.144 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
13.144 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k
13.145 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k
13.145 * [taylor]: Taking taylor expansion of 2.0 in k
13.145 * [backup-simplify]: Simplify 2.0 into 2.0
13.145 * [taylor]: Taking taylor expansion of (* n PI) in k
13.145 * [taylor]: Taking taylor expansion of n in k
13.145 * [backup-simplify]: Simplify n into n
13.145 * [taylor]: Taking taylor expansion of PI in k
13.145 * [backup-simplify]: Simplify PI into PI
13.145 * [backup-simplify]: Simplify (* n PI) into (* n PI)
13.145 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI))
13.145 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI)))
13.146 * [backup-simplify]: Simplify (+ 0 (sqrt 1.0)) into (sqrt 1.0)
13.146 * [backup-simplify]: Simplify (* (sqrt 1.0) (log (* 2.0 (* n PI)))) into (* (sqrt 1.0) (log (* 2.0 (* n PI))))
13.147 * [backup-simplify]: Simplify (exp (* (sqrt 1.0) (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) (sqrt 1.0))
13.147 * [backup-simplify]: Simplify (log (pow (* 2.0 (* n PI)) (sqrt 1.0))) into (log (pow (* 2.0 (* n PI)) (sqrt 1.0)))
13.147 * [backup-simplify]: Simplify (- 0) into 0
13.148 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0)
13.149 * [backup-simplify]: Simplify (* 0.5 (sqrt 1.0)) into (* 0.5 (sqrt 1.0))
13.150 * [backup-simplify]: Simplify (* (* 0.5 (sqrt 1.0)) (log (pow (* 2.0 (* n PI)) (sqrt 1.0)))) into (* 0.5 (* (log (pow (* 2.0 (* n PI)) (sqrt 1.0))) (sqrt 1.0)))
13.151 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (pow (* 2.0 (* n PI)) (sqrt 1.0))) (sqrt 1.0)))) into (exp (* 0.5 (* (log (pow (* 2.0 (* n PI)) (sqrt 1.0))) (sqrt 1.0))))
13.151 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt k)))) in n
13.151 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt k))) (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0)))))) in n
13.151 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt k))) (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))))) in n
13.151 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt k))) in n
13.151 * [taylor]: Taking taylor expansion of 0.5 in n
13.151 * [backup-simplify]: Simplify 0.5 into 0.5
13.151 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt k)) in n
13.152 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n
13.152 * [taylor]: Taking taylor expansion of 1.0 in n
13.152 * [backup-simplify]: Simplify 1.0 into 1.0
13.152 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
13.153 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
13.153 * [taylor]: Taking taylor expansion of (sqrt k) in n
13.153 * [taylor]: Taking taylor expansion of k in n
13.153 * [backup-simplify]: Simplify k into k
13.153 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
13.153 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
13.153 * [taylor]: Taking taylor expansion of (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0)))) in n
13.153 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) in n
13.153 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI))))) in n
13.153 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI)))) in n
13.153 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in n
13.153 * [taylor]: Taking taylor expansion of (sqrt k) in n
13.153 * [taylor]: Taking taylor expansion of k in n
13.153 * [backup-simplify]: Simplify k into k
13.153 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
13.153 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
13.153 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n
13.153 * [taylor]: Taking taylor expansion of 1.0 in n
13.153 * [backup-simplify]: Simplify 1.0 into 1.0
13.154 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
13.154 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
13.154 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n
13.154 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n
13.154 * [taylor]: Taking taylor expansion of 2.0 in n
13.154 * [backup-simplify]: Simplify 2.0 into 2.0
13.154 * [taylor]: Taking taylor expansion of (* n PI) in n
13.154 * [taylor]: Taking taylor expansion of n in n
13.154 * [backup-simplify]: Simplify 0 into 0
13.154 * [backup-simplify]: Simplify 1 into 1
13.154 * [taylor]: Taking taylor expansion of PI in n
13.154 * [backup-simplify]: Simplify PI into PI
13.155 * [backup-simplify]: Simplify (* 0 PI) into 0
13.155 * [backup-simplify]: Simplify (* 2.0 0) into 0
13.157 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
13.158 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI)
13.159 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
13.160 * [backup-simplify]: Simplify (+ (sqrt k) (sqrt 1.0)) into (+ (sqrt k) (sqrt 1.0))
13.161 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
13.162 * [backup-simplify]: Simplify (* (+ (sqrt k) (sqrt 1.0)) (+ (log (* 2.0 PI)) (log n))) into (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))
13.164 * [backup-simplify]: Simplify (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))) into (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0))))
13.165 * [backup-simplify]: Simplify (log (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0))))) into (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))
13.165 * [backup-simplify]: Simplify (- (sqrt k)) into (- (sqrt k))
13.166 * [backup-simplify]: Simplify (+ (sqrt 1.0) (- (sqrt k))) into (- (sqrt 1.0) (sqrt k))
13.166 * [backup-simplify]: Simplify (* 0.5 (- (sqrt 1.0) (sqrt k))) into (* 0.5 (- (sqrt 1.0) (sqrt k)))
13.168 * [backup-simplify]: Simplify (* (* 0.5 (- (sqrt 1.0) (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))) into (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k)))))
13.170 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k)))))) into (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k))))))
13.170 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt k)))) in n
13.170 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt k))) (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0)))))) in n
13.170 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt k))) (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))))) in n
13.170 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt k))) in n
13.170 * [taylor]: Taking taylor expansion of 0.5 in n
13.170 * [backup-simplify]: Simplify 0.5 into 0.5
13.170 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt k)) in n
13.170 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n
13.170 * [taylor]: Taking taylor expansion of 1.0 in n
13.170 * [backup-simplify]: Simplify 1.0 into 1.0
13.170 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
13.171 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
13.171 * [taylor]: Taking taylor expansion of (sqrt k) in n
13.171 * [taylor]: Taking taylor expansion of k in n
13.171 * [backup-simplify]: Simplify k into k
13.171 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
13.171 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
13.171 * [taylor]: Taking taylor expansion of (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0)))) in n
13.171 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) in n
13.171 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI))))) in n
13.171 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI)))) in n
13.172 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in n
13.172 * [taylor]: Taking taylor expansion of (sqrt k) in n
13.172 * [taylor]: Taking taylor expansion of k in n
13.172 * [backup-simplify]: Simplify k into k
13.172 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
13.172 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
13.172 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n
13.172 * [taylor]: Taking taylor expansion of 1.0 in n
13.172 * [backup-simplify]: Simplify 1.0 into 1.0
13.173 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
13.173 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
13.173 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n
13.173 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n
13.173 * [taylor]: Taking taylor expansion of 2.0 in n
13.173 * [backup-simplify]: Simplify 2.0 into 2.0
13.173 * [taylor]: Taking taylor expansion of (* n PI) in n
13.173 * [taylor]: Taking taylor expansion of n in n
13.173 * [backup-simplify]: Simplify 0 into 0
13.173 * [backup-simplify]: Simplify 1 into 1
13.173 * [taylor]: Taking taylor expansion of PI in n
13.174 * [backup-simplify]: Simplify PI into PI
13.174 * [backup-simplify]: Simplify (* 0 PI) into 0
13.174 * [backup-simplify]: Simplify (* 2.0 0) into 0
13.176 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
13.177 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI)
13.178 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
13.179 * [backup-simplify]: Simplify (+ (sqrt k) (sqrt 1.0)) into (+ (sqrt k) (sqrt 1.0))
13.180 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
13.181 * [backup-simplify]: Simplify (* (+ (sqrt k) (sqrt 1.0)) (+ (log (* 2.0 PI)) (log n))) into (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))
13.183 * [backup-simplify]: Simplify (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))) into (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0))))
13.184 * [backup-simplify]: Simplify (log (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0))))) into (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))
13.184 * [backup-simplify]: Simplify (- (sqrt k)) into (- (sqrt k))
13.185 * [backup-simplify]: Simplify (+ (sqrt 1.0) (- (sqrt k))) into (- (sqrt 1.0) (sqrt k))
13.185 * [backup-simplify]: Simplify (* 0.5 (- (sqrt 1.0) (sqrt k))) into (* 0.5 (- (sqrt 1.0) (sqrt k)))
13.187 * [backup-simplify]: Simplify (* (* 0.5 (- (sqrt 1.0) (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))) into (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k)))))
13.189 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k)))))) into (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k))))))
13.189 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k)))))) in k
13.189 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k))))) in k
13.189 * [taylor]: Taking taylor expansion of 0.5 in k
13.189 * [backup-simplify]: Simplify 0.5 into 0.5
13.189 * [taylor]: Taking taylor expansion of (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k)))) in k
13.189 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k
13.189 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k
13.189 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k
13.189 * [taylor]: Taking taylor expansion of 2.0 in k
13.189 * [backup-simplify]: Simplify 2.0 into 2.0
13.189 * [taylor]: Taking taylor expansion of PI in k
13.189 * [backup-simplify]: Simplify PI into PI
13.190 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
13.191 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
13.191 * [taylor]: Taking taylor expansion of (log n) in k
13.191 * [taylor]: Taking taylor expansion of n in k
13.191 * [backup-simplify]: Simplify n into n
13.191 * [backup-simplify]: Simplify (log n) into (log n)
13.191 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k))) in k
13.191 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in k
13.191 * [taylor]: Taking taylor expansion of (sqrt k) in k
13.191 * [taylor]: Taking taylor expansion of k in k
13.191 * [backup-simplify]: Simplify 0 into 0
13.191 * [backup-simplify]: Simplify 1 into 1
13.191 * [backup-simplify]: Simplify (sqrt 0) into 0
13.193 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
13.193 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k
13.193 * [taylor]: Taking taylor expansion of 1.0 in k
13.193 * [backup-simplify]: Simplify 1.0 into 1.0
13.193 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
13.194 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
13.194 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt k)) in k
13.194 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k
13.194 * [taylor]: Taking taylor expansion of 1.0 in k
13.194 * [backup-simplify]: Simplify 1.0 into 1.0
13.194 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
13.195 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
13.195 * [taylor]: Taking taylor expansion of (sqrt k) in k
13.195 * [taylor]: Taking taylor expansion of k in k
13.195 * [backup-simplify]: Simplify 0 into 0
13.195 * [backup-simplify]: Simplify 1 into 1
13.195 * [backup-simplify]: Simplify (sqrt 0) into 0
13.197 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
13.198 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n))
13.198 * [backup-simplify]: Simplify (+ 0 (sqrt 1.0)) into (sqrt 1.0)
13.199 * [backup-simplify]: Simplify (- 0) into 0
13.200 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0)
13.201 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt 1.0)) into (pow (sqrt 1.0) 2)
13.203 * [backup-simplify]: Simplify (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)) into (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))
13.205 * [backup-simplify]: Simplify (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))) into (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))
13.206 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) into (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))
13.208 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) into (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))
13.209 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
13.210 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0
13.212 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0
13.213 * [backup-simplify]: Simplify (+ 0 0) into 0
13.214 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
13.216 * [backup-simplify]: Simplify (+ (* (+ (sqrt k) (sqrt 1.0)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0
13.218 * [backup-simplify]: Simplify (* (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
13.226 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))) 1)))) 1) into 0
13.227 * [backup-simplify]: Simplify (- 0) into 0
13.227 * [backup-simplify]: Simplify (+ 0 0) into 0
13.228 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- (sqrt 1.0) (sqrt k)))) into 0
13.230 * [backup-simplify]: Simplify (+ (* (* 0.5 (- (sqrt 1.0) (sqrt k))) 0) (* 0 (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0))))) into 0
13.232 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k)))))) (+ (* (/ (pow 0 1) 1)))) into 0
13.232 * [taylor]: Taking taylor expansion of 0 in k
13.233 * [backup-simplify]: Simplify 0 into 0
13.233 * [backup-simplify]: Simplify 0 into 0
13.233 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
13.234 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
13.234 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
13.238 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) (- +nan.0)) (* (- +nan.0) (sqrt 1.0))) into (- (* +nan.0 (sqrt 1.0)))
13.239 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0
13.241 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0
13.243 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
13.243 * [backup-simplify]: Simplify (+ 0 0) into 0
13.247 * [backup-simplify]: Simplify (+ (* (+ (log (* 2.0 PI)) (log n)) (- (* +nan.0 (sqrt 1.0)))) (* 0 (pow (sqrt 1.0) 2))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (* (sqrt 1.0) (log n))))))
13.253 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (* (sqrt 1.0) (log n))))))) (* 0 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (* (sqrt 1.0) (log n))))))
13.261 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (+ (* (/ (pow (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (* (sqrt 1.0) (log n)))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (* (sqrt 1.0) (log n))))) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))
13.267 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (* (sqrt 1.0) (log n))))) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))))) into (* (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (* (sqrt 1.0) (log n))))) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))))
13.268 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
13.269 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
13.273 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0
13.273 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
13.274 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
13.275 * [backup-simplify]: Simplify (+ 0 0) into 0
13.278 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
13.281 * [backup-simplify]: Simplify (+ (* (+ (sqrt k) (sqrt 1.0)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0
13.284 * [backup-simplify]: Simplify (* (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
13.290 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))) 1)))) 2) into 0
13.291 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
13.291 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
13.292 * [backup-simplify]: Simplify (- 0) into 0
13.292 * [backup-simplify]: Simplify (+ 0 0) into 0
13.293 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- (sqrt 1.0) (sqrt k))))) into 0
13.295 * [backup-simplify]: Simplify (+ (* (* 0.5 (- (sqrt 1.0) (sqrt k))) 0) (+ (* 0 0) (* 0 (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))))) into 0
13.298 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
13.298 * [taylor]: Taking taylor expansion of 0 in k
13.298 * [backup-simplify]: Simplify 0 into 0
13.298 * [backup-simplify]: Simplify 0 into 0
13.298 * [backup-simplify]: Simplify 0 into 0
13.299 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
13.302 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
13.303 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
13.303 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
13.306 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
13.307 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
13.307 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
13.312 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) (- +nan.0)) (+ (* (- +nan.0) (- +nan.0)) (* (- +nan.0) (sqrt 1.0)))) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))
13.313 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0
13.316 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0
13.318 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
13.319 * [backup-simplify]: Simplify (+ 0 0) into 0
13.324 * [backup-simplify]: Simplify (+ (* (+ (log (* 2.0 PI)) (log n)) (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))) (+ (* 0 (- (* +nan.0 (sqrt 1.0)))) (* 0 (pow (sqrt 1.0) 2)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))
13.335 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (+ (* 0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (* (sqrt 1.0) (log n))))))) (* 0 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))
13.347 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (+ (* (/ (pow (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (* (sqrt 1.0) (log n)))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (pow (log n) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 2) (log n)))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))))))) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))
13.369 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (pow (log n) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 2) (log n)))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))))))) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))))) into (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 2) (log n)))) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (pow (log n) 2))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))))))))
13.395 * [backup-simplify]: Simplify (+ (* (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 2) (log n)))) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (pow (log n) 2))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))))))))) (pow (* k 1) 2)) (+ (* (* (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (* (sqrt 1.0) (log n))))) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))) (* k 1)) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))))) into (- (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (+ (* +nan.0 (* k (* (log (* 2.0 PI)) (* (sqrt 1.0) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))))))) (- (+ (* +nan.0 (* k (* (sqrt 1.0) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (log n))))) (- (+ (* +nan.0 (* (pow k 2) (* (pow (sqrt 1.0) 2) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (pow (log n) 2))))) (- (+ (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 2) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (log n)))))) (- (+ (* +nan.0 (* (pow k 2) (* (sqrt 1.0) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (log n))))) (- (+ (* +nan.0 (* (pow k 2) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (log n)))) (- (+ (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))) (- (+ (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (* (sqrt 1.0) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))))))) (- (* +nan.0 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))))))))))))))))))))))))
13.397 * [backup-simplify]: Simplify (pow (pow (* (* 2.0 PI) (/ 1 n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) (/ (- (sqrt 1.0) (sqrt (/ 1 k))) 2.0)) into (pow (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))))
13.397 * [approximate]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k))))) in (n k) around 0
13.397 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k))))) in k
13.397 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))))) in k
13.397 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))))) in k
13.397 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) in k
13.397 * [taylor]: Taking taylor expansion of 0.5 in k
13.397 * [backup-simplify]: Simplify 0.5 into 0.5
13.397 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ 1 k))) in k
13.397 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k
13.397 * [taylor]: Taking taylor expansion of 1.0 in k
13.397 * [backup-simplify]: Simplify 1.0 into 1.0
13.398 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
13.398 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
13.398 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
13.398 * [taylor]: Taking taylor expansion of (/ 1 k) in k
13.398 * [taylor]: Taking taylor expansion of k in k
13.398 * [backup-simplify]: Simplify 0 into 0
13.398 * [backup-simplify]: Simplify 1 into 1
13.399 * [backup-simplify]: Simplify (/ 1 1) into 1
13.399 * [backup-simplify]: Simplify (sqrt 0) into 0
13.400 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
13.400 * [taylor]: Taking taylor expansion of (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) in k
13.400 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in k
13.400 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n))))) in k
13.400 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n)))) in k
13.400 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in k
13.400 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k
13.400 * [taylor]: Taking taylor expansion of 1.0 in k
13.401 * [backup-simplify]: Simplify 1.0 into 1.0
13.401 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
13.402 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
13.402 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
13.402 * [taylor]: Taking taylor expansion of (/ 1 k) in k
13.402 * [taylor]: Taking taylor expansion of k in k
13.402 * [backup-simplify]: Simplify 0 into 0
13.402 * [backup-simplify]: Simplify 1 into 1
13.402 * [backup-simplify]: Simplify (/ 1 1) into 1
13.402 * [backup-simplify]: Simplify (sqrt 0) into 0
13.403 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
13.404 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k
13.404 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k
13.404 * [taylor]: Taking taylor expansion of 2.0 in k
13.404 * [backup-simplify]: Simplify 2.0 into 2.0
13.404 * [taylor]: Taking taylor expansion of (/ PI n) in k
13.404 * [taylor]: Taking taylor expansion of PI in k
13.404 * [backup-simplify]: Simplify PI into PI
13.404 * [taylor]: Taking taylor expansion of n in k
13.404 * [backup-simplify]: Simplify n into n
13.404 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
13.404 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n))
13.404 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n)))
13.405 * [backup-simplify]: Simplify (+ 0 0) into 0
13.405 * [backup-simplify]: Simplify (* 0 (log (* 2.0 (/ PI n)))) into 0
13.405 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0
13.405 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ PI n))) into 0
13.406 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 (/ PI n)) 1)))) 1) into 0
13.407 * [backup-simplify]: Simplify (+ (sqrt 1.0) +nan.0) into (- (sqrt 1.0) +nan.0)
13.408 * [backup-simplify]: Simplify (+ (* 0 0) (* (- (sqrt 1.0) +nan.0) (log (* 2.0 (/ PI n))))) into (- (* (sqrt 1.0) (log (* 2.0 (/ PI n)))) (* +nan.0 (log (* 2.0 (/ PI n)))))
13.409 * [backup-simplify]: Simplify (exp (- (* (sqrt 1.0) (log (* 2.0 (/ PI n)))) (* +nan.0 (log (* 2.0 (/ PI n)))))) into (exp (- (* (sqrt 1.0) (log (* 2.0 (/ PI n)))) (* +nan.0 (log (* 2.0 (/ PI n))))))
13.410 * [backup-simplify]: Simplify (log (exp (- (* (sqrt 1.0) (log (* 2.0 (/ PI n)))) (* +nan.0 (log (* 2.0 (/ PI n))))))) into (- (* (sqrt 1.0) (log (* 2.0 (/ PI n)))) (* +nan.0 (log (* 2.0 (/ PI n)))))
13.410 * [backup-simplify]: Simplify (- 0) into 0
13.410 * [backup-simplify]: Simplify (+ 0 0) into 0
13.411 * [backup-simplify]: Simplify (* 0.5 0) into 0
13.411 * [backup-simplify]: Simplify (* 0 (- (* (sqrt 1.0) (log (* 2.0 (/ PI n)))) (* +nan.0 (log (* 2.0 (/ PI n)))))) into 0
13.412 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
13.412 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ PI n)))) into 0
13.414 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 (/ PI n)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 (/ PI n)) 1)))) 2) into 0
13.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.418 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
13.418 * [backup-simplify]: Simplify (+ 0 +nan.0) into (- +nan.0)
13.419 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- (sqrt 1.0) +nan.0) 0) (* (- +nan.0) (log (* 2.0 (/ PI n)))))) into (- (* +nan.0 (log (* 2.0 (/ PI n)))))
13.420 * [backup-simplify]: Simplify (* (exp (- (* (sqrt 1.0) (log (* 2.0 (/ PI n)))) (* +nan.0 (log (* 2.0 (/ PI n)))))) (+ (* (/ (pow (- (* +nan.0 (log (* 2.0 (/ PI n))))) 1) 1)))) into (* +nan.0 (* (exp (- (* (sqrt 1.0) (log (* 2.0 (/ PI n)))) (* +nan.0 (log (* 2.0 (/ PI n)))))) (log (* 2.0 (/ PI n)))))
13.422 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* +nan.0 (* (exp (- (* (sqrt 1.0) (log (* 2.0 (/ PI n)))) (* +nan.0 (log (* 2.0 (/ PI n)))))) (log (* 2.0 (/ PI n)))))) 1)) (pow (exp (- (* (sqrt 1.0) (log (* 2.0 (/ PI n)))) (* +nan.0 (log (* 2.0 (/ PI n)))))) 1)))) 1) into (* +nan.0 (log (* 2.0 (/ PI n))))
13.423 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
13.424 * [backup-simplify]: Simplify (+ (sqrt 1.0) (- +nan.0)) into (- (sqrt 1.0) +nan.0)
13.427 * [backup-simplify]: Simplify (+ (* 0.5 (- (sqrt 1.0) +nan.0)) (* 0 0)) into (- (* 0.5 (sqrt 1.0)) +nan.0)
13.429 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (log (* 2.0 (/ PI n))))) (* (- (* 0.5 (sqrt 1.0)) +nan.0) (- (* (sqrt 1.0) (log (* 2.0 (/ PI n)))) (* +nan.0 (log (* 2.0 (/ PI n))))))) into (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* 2.0 (/ PI n))))) (+ (* +nan.0 (log (* 2.0 (/ PI n)))) (- (* +nan.0 (* (sqrt 1.0) (log (* 2.0 (/ PI n))))))))
13.431 * [backup-simplify]: Simplify (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* 2.0 (/ PI n))))) (+ (* +nan.0 (log (* 2.0 (/ PI n)))) (- (* +nan.0 (* (sqrt 1.0) (log (* 2.0 (/ PI n))))))))) into (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* 2.0 (/ PI n))))) (+ (* +nan.0 (* (sqrt 1.0) (log (* 2.0 (/ PI n))))) (- (* +nan.0 (log (* 2.0 (/ PI n))))))))
13.431 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k))))) in n
13.431 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))))) in n
13.431 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))))) in n
13.431 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) in n
13.431 * [taylor]: Taking taylor expansion of 0.5 in n
13.431 * [backup-simplify]: Simplify 0.5 into 0.5
13.431 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ 1 k))) in n
13.431 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n
13.431 * [taylor]: Taking taylor expansion of 1.0 in n
13.431 * [backup-simplify]: Simplify 1.0 into 1.0
13.431 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
13.432 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
13.432 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
13.432 * [taylor]: Taking taylor expansion of (/ 1 k) in n
13.432 * [taylor]: Taking taylor expansion of k in n
13.432 * [backup-simplify]: Simplify k into k
13.432 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
13.432 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
13.432 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
13.432 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
13.433 * [taylor]: Taking taylor expansion of (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) in n
13.433 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in n
13.433 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n))))) in n
13.433 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n)))) in n
13.433 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in n
13.433 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n
13.433 * [taylor]: Taking taylor expansion of 1.0 in n
13.433 * [backup-simplify]: Simplify 1.0 into 1.0
13.433 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
13.434 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
13.434 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
13.434 * [taylor]: Taking taylor expansion of (/ 1 k) in n
13.434 * [taylor]: Taking taylor expansion of k in n
13.434 * [backup-simplify]: Simplify k into k
13.434 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
13.434 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
13.434 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
13.434 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
13.434 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n
13.434 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n
13.434 * [taylor]: Taking taylor expansion of 2.0 in n
13.434 * [backup-simplify]: Simplify 2.0 into 2.0
13.434 * [taylor]: Taking taylor expansion of (/ PI n) in n
13.434 * [taylor]: Taking taylor expansion of PI in n
13.434 * [backup-simplify]: Simplify PI into PI
13.434 * [taylor]: Taking taylor expansion of n in n
13.434 * [backup-simplify]: Simplify 0 into 0
13.434 * [backup-simplify]: Simplify 1 into 1
13.435 * [backup-simplify]: Simplify (/ PI 1) into PI
13.435 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
13.436 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
13.437 * [backup-simplify]: Simplify (+ (sqrt 1.0) (sqrt (/ 1 k))) into (+ (sqrt 1.0) (sqrt (/ 1 k)))
13.438 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
13.440 * [backup-simplify]: Simplify (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))
13.441 * [backup-simplify]: Simplify (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) into (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))))
13.443 * [backup-simplify]: Simplify (log (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))))) into (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))
13.443 * [backup-simplify]: Simplify (- (sqrt (/ 1 k))) into (- (sqrt (/ 1 k)))
13.443 * [backup-simplify]: Simplify (+ (sqrt 1.0) (- (sqrt (/ 1 k)))) into (- (sqrt 1.0) (sqrt (/ 1 k)))
13.444 * [backup-simplify]: Simplify (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) into (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k))))
13.445 * [backup-simplify]: Simplify (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k))))))
13.447 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k))))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k)))))))
13.447 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k))))) in n
13.447 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))))) in n
13.447 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))))) in n
13.447 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) in n
13.448 * [taylor]: Taking taylor expansion of 0.5 in n
13.448 * [backup-simplify]: Simplify 0.5 into 0.5
13.448 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ 1 k))) in n
13.448 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n
13.448 * [taylor]: Taking taylor expansion of 1.0 in n
13.448 * [backup-simplify]: Simplify 1.0 into 1.0
13.448 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
13.449 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
13.449 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
13.449 * [taylor]: Taking taylor expansion of (/ 1 k) in n
13.449 * [taylor]: Taking taylor expansion of k in n
13.449 * [backup-simplify]: Simplify k into k
13.449 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
13.449 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
13.449 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
13.449 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
13.449 * [taylor]: Taking taylor expansion of (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) in n
13.449 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in n
13.449 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n))))) in n
13.449 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n)))) in n
13.449 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in n
13.449 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n
13.449 * [taylor]: Taking taylor expansion of 1.0 in n
13.449 * [backup-simplify]: Simplify 1.0 into 1.0
13.450 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
13.450 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
13.451 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
13.451 * [taylor]: Taking taylor expansion of (/ 1 k) in n
13.451 * [taylor]: Taking taylor expansion of k in n
13.451 * [backup-simplify]: Simplify k into k
13.451 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
13.451 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
13.451 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
13.451 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
13.451 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n
13.451 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n
13.451 * [taylor]: Taking taylor expansion of 2.0 in n
13.451 * [backup-simplify]: Simplify 2.0 into 2.0
13.451 * [taylor]: Taking taylor expansion of (/ PI n) in n
13.451 * [taylor]: Taking taylor expansion of PI in n
13.451 * [backup-simplify]: Simplify PI into PI
13.451 * [taylor]: Taking taylor expansion of n in n
13.451 * [backup-simplify]: Simplify 0 into 0
13.451 * [backup-simplify]: Simplify 1 into 1
13.452 * [backup-simplify]: Simplify (/ PI 1) into PI
13.452 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
13.453 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
13.454 * [backup-simplify]: Simplify (+ (sqrt 1.0) (sqrt (/ 1 k))) into (+ (sqrt 1.0) (sqrt (/ 1 k)))
13.455 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
13.457 * [backup-simplify]: Simplify (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))
13.458 * [backup-simplify]: Simplify (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) into (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))))
13.460 * [backup-simplify]: Simplify (log (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))))) into (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))
13.460 * [backup-simplify]: Simplify (- (sqrt (/ 1 k))) into (- (sqrt (/ 1 k)))
13.460 * [backup-simplify]: Simplify (+ (sqrt 1.0) (- (sqrt (/ 1 k)))) into (- (sqrt 1.0) (sqrt (/ 1 k)))
13.461 * [backup-simplify]: Simplify (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) into (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k))))
13.463 * [backup-simplify]: Simplify (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k))))))
13.465 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k))))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k)))))))
13.465 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k))))))) in k
13.465 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k)))))) in k
13.465 * [taylor]: Taking taylor expansion of 0.5 in k
13.465 * [backup-simplify]: Simplify 0.5 into 0.5
13.465 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k))))) in k
13.465 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k
13.465 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k
13.465 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k
13.465 * [taylor]: Taking taylor expansion of 2.0 in k
13.465 * [backup-simplify]: Simplify 2.0 into 2.0
13.465 * [taylor]: Taking taylor expansion of PI in k
13.465 * [backup-simplify]: Simplify PI into PI
13.465 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
13.466 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
13.466 * [taylor]: Taking taylor expansion of (log n) in k
13.466 * [taylor]: Taking taylor expansion of n in k
13.467 * [backup-simplify]: Simplify n into n
13.467 * [backup-simplify]: Simplify (log n) into (log n)
13.467 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in k
13.467 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ 1 k))) in k
13.467 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k
13.467 * [taylor]: Taking taylor expansion of 1.0 in k
13.467 * [backup-simplify]: Simplify 1.0 into 1.0
13.467 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
13.468 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
13.468 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
13.468 * [taylor]: Taking taylor expansion of (/ 1 k) in k
13.468 * [taylor]: Taking taylor expansion of k in k
13.468 * [backup-simplify]: Simplify 0 into 0
13.468 * [backup-simplify]: Simplify 1 into 1
13.468 * [backup-simplify]: Simplify (/ 1 1) into 1
13.469 * [backup-simplify]: Simplify (sqrt 0) into 0
13.470 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
13.470 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in k
13.470 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k
13.470 * [taylor]: Taking taylor expansion of 1.0 in k
13.470 * [backup-simplify]: Simplify 1.0 into 1.0
13.470 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
13.471 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
13.471 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
13.471 * [taylor]: Taking taylor expansion of (/ 1 k) in k
13.471 * [taylor]: Taking taylor expansion of k in k
13.471 * [backup-simplify]: Simplify 0 into 0
13.471 * [backup-simplify]: Simplify 1 into 1
13.472 * [backup-simplify]: Simplify (/ 1 1) into 1
13.472 * [backup-simplify]: Simplify (sqrt 0) into 0
13.473 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
13.473 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
13.474 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n))
13.475 * [backup-simplify]: Simplify (- 0) into 0
13.475 * [backup-simplify]: Simplify (+ 0 0) into 0
13.476 * [backup-simplify]: Simplify (+ 0 0) into 0
13.476 * [backup-simplify]: Simplify (* 0 0) into 0
13.477 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) 0) into 0
13.477 * [backup-simplify]: Simplify (* 0.5 0) into 0
13.478 * [backup-simplify]: Simplify (+ (sqrt 1.0) +nan.0) into (- (sqrt 1.0) +nan.0)
13.479 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
13.480 * [backup-simplify]: Simplify (+ (sqrt 1.0) (- +nan.0)) into (- (sqrt 1.0) +nan.0)
13.481 * [backup-simplify]: Simplify (+ (* 0 (- (sqrt 1.0) +nan.0)) (* (- (sqrt 1.0) +nan.0) 0)) into 0
13.481 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0
13.483 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0
13.484 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
13.484 * [backup-simplify]: Simplify (- 0) into 0
13.485 * [backup-simplify]: Simplify (+ 0 0) into 0
13.486 * [backup-simplify]: Simplify (+ (* (- (log (* 2.0 PI)) (log n)) 0) (* 0 0)) into 0
13.486 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 0)) into 0
13.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.490 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
13.490 * [backup-simplify]: Simplify (+ 0 +nan.0) into (- +nan.0)
13.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.494 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
13.494 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
13.495 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
13.500 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* (- (sqrt 1.0) +nan.0) (- (sqrt 1.0) +nan.0)) (* (- +nan.0) 0))) into (- (pow (sqrt 1.0) 2) (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))
13.506 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0
13.509 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0
13.511 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
13.512 * [backup-simplify]: Simplify (- 0) into 0
13.512 * [backup-simplify]: Simplify (+ 0 0) into 0
13.518 * [backup-simplify]: Simplify (+ (* (- (log (* 2.0 PI)) (log n)) (- (pow (sqrt 1.0) 2) (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))) (+ (* 0 0) (* 0 0))) into (- (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2)) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* (pow (sqrt 1.0) 2) (log n)) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (log n)))))))))
13.528 * [backup-simplify]: Simplify (+ (* 0.5 (- (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2)) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* (pow (sqrt 1.0) 2) (log n)) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (log n)))))))))) (+ (* 0 0) (* 0 0))) into (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (log n)))))))))
13.539 * [backup-simplify]: Simplify (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (log n)))))))))) into (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))))
13.549 * [backup-simplify]: Simplify (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) into (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))))
13.550 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
13.551 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0
13.553 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0
13.553 * [backup-simplify]: Simplify (+ 0 0) into 0
13.554 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
13.556 * [backup-simplify]: Simplify (+ (* (+ (sqrt 1.0) (sqrt (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0
13.558 * [backup-simplify]: Simplify (* (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0
13.560 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) 1)))) 1) into 0
13.561 * [backup-simplify]: Simplify (- 0) into 0
13.561 * [backup-simplify]: Simplify (+ 0 0) into 0
13.562 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- (sqrt 1.0) (sqrt (/ 1 k))))) into 0
13.563 * [backup-simplify]: Simplify (+ (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) 0) (* 0 (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))))) into 0
13.566 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k))))))) (+ (* (/ (pow 0 1) 1)))) into 0
13.566 * [taylor]: Taking taylor expansion of 0 in k
13.566 * [backup-simplify]: Simplify 0 into 0
13.567 * [backup-simplify]: Simplify 0 into 0
13.568 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
13.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.572 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
13.572 * [backup-simplify]: Simplify (+ 0 +nan.0) into (- +nan.0)
13.573 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
13.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.578 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
13.578 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
13.579 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
13.586 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* (- (sqrt 1.0) +nan.0) (- +nan.0)) (+ (* (- +nan.0) (- (sqrt 1.0) +nan.0)) (* (- +nan.0) 0)))) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))
13.587 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
13.593 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0
13.596 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0
13.596 * [backup-simplify]: Simplify (- 0) into 0
13.596 * [backup-simplify]: Simplify (+ 0 0) into 0
13.602 * [backup-simplify]: Simplify (+ (* (- (log (* 2.0 PI)) (log n)) (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))) (+ (* 0 (- (pow (sqrt 1.0) 2) (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))) (+ (* 0 0) (* 0 0)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))
13.618 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (+ (* 0 (- (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2)) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* (pow (sqrt 1.0) 2) (log n)) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (log n)))))))))) (+ (* 0 0) (* 0 0)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))
13.639 * [backup-simplify]: Simplify (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (log n)))))))))) (+ (* (/ (pow (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))) 1) 1)))) into (* -1 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))))
13.655 * [backup-simplify]: Simplify (* -1 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) into (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))
13.657 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.658 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0
13.661 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0
13.662 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
13.662 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
13.663 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
13.663 * [backup-simplify]: Simplify (+ 0 0) into 0
13.665 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
13.667 * [backup-simplify]: Simplify (+ (* (+ (sqrt 1.0) (sqrt (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0
13.670 * [backup-simplify]: Simplify (* (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
13.674 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) 1)))) 2) into 0
13.675 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
13.675 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
13.676 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
13.677 * [backup-simplify]: Simplify (- 0) into 0
13.677 * [backup-simplify]: Simplify (+ 0 0) into 0
13.678 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- (sqrt 1.0) (sqrt (/ 1 k)))))) into 0
13.680 * [backup-simplify]: Simplify (+ (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) 0) (+ (* 0 0) (* 0 (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))))) into 0
13.683 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
13.683 * [taylor]: Taking taylor expansion of 0 in k
13.684 * [backup-simplify]: Simplify 0 into 0
13.684 * [backup-simplify]: Simplify 0 into 0
13.684 * [backup-simplify]: Simplify 0 into 0
13.685 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0
13.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.690 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
13.691 * [backup-simplify]: Simplify (+ 0 +nan.0) into (- +nan.0)
13.692 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0
13.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.699 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
13.699 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
13.700 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
13.711 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* (- (sqrt 1.0) +nan.0) (- +nan.0)) (+ (* (- +nan.0) (- +nan.0)) (+ (* (- +nan.0) (- (sqrt 1.0) +nan.0)) (* (- +nan.0) 0))))) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))
13.713 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
13.723 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 2.0 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* 2.0 PI) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* 2.0 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* 2.0 PI) 1)))) 24) into 0
13.728 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow n 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow n 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow n 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow n 1)))) 24) into 0
13.728 * [backup-simplify]: Simplify (- 0) into 0
13.729 * [backup-simplify]: Simplify (+ 0 0) into 0
13.738 * [backup-simplify]: Simplify (+ (* (- (log (* 2.0 PI)) (log n)) (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))) (+ (* 0 (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))) (+ (* 0 (- (pow (sqrt 1.0) 2) (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))) (+ (* 0 0) (* 0 0))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))
13.761 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (+ (* 0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (+ (* 0 (- (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2)) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* (pow (sqrt 1.0) 2) (log n)) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (log n)))))))))) (+ (* 0 0) (* 0 0))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))
13.789 * [backup-simplify]: Simplify (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (log n)))))))))) (+ (* (/ (pow (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))) 1) 1)))) into (* -1 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 2) (log n)))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (log n))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (pow (log n) 2))) (- (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (sqrt 1.0) (pow (log n) 2))) (- (+ (* +nan.0 (pow (log (* 2.0 PI)) 2)) (- (* +nan.0 (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n))))))))))))))))))))))))))))))
13.831 * [backup-simplify]: Simplify (* -1 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 2) (log n)))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (log n))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (pow (log n) 2))) (- (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (sqrt 1.0) (pow (log n) 2))) (- (+ (* +nan.0 (pow (log (* 2.0 PI)) 2)) (- (* +nan.0 (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n)))))))))))))))))))))))))))))) into (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 2) (log n)))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (log n))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n)))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (pow (log n) 2))) (- (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (sqrt 1.0) (pow (log n) 2))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (* +nan.0 (pow (log (* 2.0 PI)) 2)))))))))))))))))))))))))))
13.914 * [backup-simplify]: Simplify (+ (* (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ 1 n)))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (/ 1 n)))) (- (* +nan.0 (log (/ 1 n))))))))))) (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 2) (log (/ 1 n))))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (log (/ 1 n)))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (sqrt 1.0) (log (/ 1 n))))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (/ 1 n)))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (pow (log (/ 1 n)) 2))) (- (+ (* +nan.0 (pow (log (/ 1 n)) 2)) (- (+ (* +nan.0 (* (sqrt 1.0) (pow (log (/ 1 n)) 2))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (* +nan.0 (pow (log (* 2.0 PI)) 2))))))))))))))))))))))))))) (pow (* (/ 1 k) 1) 2)) (+ (* (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ 1 n)))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (/ 1 n)))) (- (* +nan.0 (log (/ 1 n))))))))))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (/ 1 n)))) (- (* +nan.0 (log (/ 1 n)))))))))) (* (/ 1 k) 1)) (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ 1 n)))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (/ 1 n)))) (- (* +nan.0 (log (/ 1 n))))))))))))) into (- (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (pow (log (/ 1 n)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 2) (log (/ 1 n))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (* (log (* 2.0 PI)) (log (/ 1 n)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (log (* 2.0 PI))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (* (log (* 2.0 PI)) (* (sqrt 1.0) (log (/ 1 n))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (log (/ 1 n))) k)) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (* (pow (log (* 2.0 PI)) 2) (pow (sqrt 1.0) 2))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (log (* 2.0 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (* (log (* 2.0 PI)) (sqrt 1.0))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (* (log (* 2.0 PI)) (sqrt 1.0))) k)) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (pow (log (* 2.0 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (* (pow (log (/ 1 n)) 2) (sqrt 1.0))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (log (/ 1 n))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (* (log (/ 1 n)) (sqrt 1.0))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (* (pow (log (/ 1 n)) 2) (pow (sqrt 1.0) 2))) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (* (log (/ 1 n)) (sqrt 1.0))) k)))))))))))))))))))))))))))))))))))
13.917 * [backup-simplify]: Simplify (pow (pow (* (* 2.0 PI) (/ 1 (- n))) (+ (sqrt 1.0) (sqrt (/ 1 (- k))))) (/ (- (sqrt 1.0) (sqrt (/ 1 (- k)))) 2.0)) into (pow (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))))
13.917 * [approximate]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k))))) in (n k) around 0
13.917 * [taylor]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k))))) in k
13.917 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0)))))) in k
13.917 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))))) in k
13.917 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) in k
13.917 * [taylor]: Taking taylor expansion of 0.5 in k
13.917 * [backup-simplify]: Simplify 0.5 into 0.5
13.917 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ -1 k))) in k
13.917 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k
13.917 * [taylor]: Taking taylor expansion of 1.0 in k
13.917 * [backup-simplify]: Simplify 1.0 into 1.0
13.917 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
13.918 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
13.918 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
13.918 * [taylor]: Taking taylor expansion of (/ -1 k) in k
13.918 * [taylor]: Taking taylor expansion of -1 in k
13.918 * [backup-simplify]: Simplify -1 into -1
13.918 * [taylor]: Taking taylor expansion of k in k
13.918 * [backup-simplify]: Simplify 0 into 0
13.918 * [backup-simplify]: Simplify 1 into 1
13.919 * [backup-simplify]: Simplify (/ -1 1) into -1
13.919 * [backup-simplify]: Simplify (sqrt 0) into 0
13.921 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
13.921 * [taylor]: Taking taylor expansion of (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0)))) in k
13.921 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) in k
13.921 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n))))) in k
13.921 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n)))) in k
13.921 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in k
13.921 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
13.921 * [taylor]: Taking taylor expansion of (/ -1 k) in k
13.921 * [taylor]: Taking taylor expansion of -1 in k
13.921 * [backup-simplify]: Simplify -1 into -1
13.921 * [taylor]: Taking taylor expansion of k in k
13.921 * [backup-simplify]: Simplify 0 into 0
13.921 * [backup-simplify]: Simplify 1 into 1
13.921 * [backup-simplify]: Simplify (/ -1 1) into -1
13.922 * [backup-simplify]: Simplify (sqrt 0) into 0
13.923 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
13.923 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k
13.923 * [taylor]: Taking taylor expansion of 1.0 in k
13.923 * [backup-simplify]: Simplify 1.0 into 1.0
13.923 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
13.924 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
13.924 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k
13.924 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k
13.924 * [taylor]: Taking taylor expansion of -2.0 in k
13.924 * [backup-simplify]: Simplify -2.0 into -2.0
13.924 * [taylor]: Taking taylor expansion of (/ PI n) in k
13.924 * [taylor]: Taking taylor expansion of PI in k
13.924 * [backup-simplify]: Simplify PI into PI
13.924 * [taylor]: Taking taylor expansion of n in k
13.924 * [backup-simplify]: Simplify n into n
13.924 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
13.924 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n))
13.924 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n)))
13.925 * [backup-simplify]: Simplify (+ 0 0) into 0
13.925 * [backup-simplify]: Simplify (* 0 (log (* -2.0 (/ PI n)))) into 0
13.925 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0
13.925 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 (/ PI n))) into 0
13.926 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 (/ PI n)) 1)))) 1) into 0
13.927 * [backup-simplify]: Simplify (+ +nan.0 (sqrt 1.0)) into (- (sqrt 1.0) +nan.0)
13.928 * [backup-simplify]: Simplify (+ (* 0 0) (* (- (sqrt 1.0) +nan.0) (log (* -2.0 (/ PI n))))) into (- (* (sqrt 1.0) (log (* -2.0 (/ PI n)))) (* +nan.0 (log (* -2.0 (/ PI n)))))
13.929 * [backup-simplify]: Simplify (exp (- (* (sqrt 1.0) (log (* -2.0 (/ PI n)))) (* +nan.0 (log (* -2.0 (/ PI n)))))) into (exp (- (* (sqrt 1.0) (log (* -2.0 (/ PI n)))) (* +nan.0 (log (* -2.0 (/ PI n))))))
13.930 * [backup-simplify]: Simplify (log (exp (- (* (sqrt 1.0) (log (* -2.0 (/ PI n)))) (* +nan.0 (log (* -2.0 (/ PI n))))))) into (- (* (sqrt 1.0) (log (* -2.0 (/ PI n)))) (* +nan.0 (log (* -2.0 (/ PI n)))))
13.930 * [backup-simplify]: Simplify (- 0) into 0
13.930 * [backup-simplify]: Simplify (+ 0 0) into 0
13.931 * [backup-simplify]: Simplify (* 0.5 0) into 0
13.931 * [backup-simplify]: Simplify (* 0 (- (* (sqrt 1.0) (log (* -2.0 (/ PI n)))) (* +nan.0 (log (* -2.0 (/ PI n)))))) into 0
13.932 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
13.932 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 (/ PI n)))) into 0
13.934 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 (/ PI n)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 (/ PI n)) 1)))) 2) into 0
13.935 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
13.938 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
13.938 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
13.940 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- (sqrt 1.0) +nan.0) 0) (* (- +nan.0) (log (* -2.0 (/ PI n)))))) into (- (* +nan.0 (log (* -2.0 (/ PI n)))))
13.941 * [backup-simplify]: Simplify (* (exp (- (* (sqrt 1.0) (log (* -2.0 (/ PI n)))) (* +nan.0 (log (* -2.0 (/ PI n)))))) (+ (* (/ (pow (- (* +nan.0 (log (* -2.0 (/ PI n))))) 1) 1)))) into (* +nan.0 (* (exp (- (* (sqrt 1.0) (log (* -2.0 (/ PI n)))) (* +nan.0 (log (* -2.0 (/ PI n)))))) (log (* -2.0 (/ PI n)))))
13.943 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* +nan.0 (* (exp (- (* (sqrt 1.0) (log (* -2.0 (/ PI n)))) (* +nan.0 (log (* -2.0 (/ PI n)))))) (log (* -2.0 (/ PI n)))))) 1)) (pow (exp (- (* (sqrt 1.0) (log (* -2.0 (/ PI n)))) (* +nan.0 (log (* -2.0 (/ PI n)))))) 1)))) 1) into (* +nan.0 (log (* -2.0 (/ PI n))))
13.943 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
13.945 * [backup-simplify]: Simplify (+ (sqrt 1.0) (- +nan.0)) into (- (sqrt 1.0) +nan.0)
13.947 * [backup-simplify]: Simplify (+ (* 0.5 (- (sqrt 1.0) +nan.0)) (* 0 0)) into (- (* 0.5 (sqrt 1.0)) +nan.0)
13.950 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (log (* -2.0 (/ PI n))))) (* (- (* 0.5 (sqrt 1.0)) +nan.0) (- (* (sqrt 1.0) (log (* -2.0 (/ PI n)))) (* +nan.0 (log (* -2.0 (/ PI n))))))) into (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 (/ PI n))))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 (/ PI n))))) (- (* +nan.0 (log (* -2.0 (/ PI n)))))))
13.951 * [backup-simplify]: Simplify (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 (/ PI n))))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 (/ PI n))))) (- (* +nan.0 (log (* -2.0 (/ PI n)))))))) into (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 (/ PI n))))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 (/ PI n))))) (- (* +nan.0 (log (* -2.0 (/ PI n))))))))
13.951 * [taylor]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k))))) in n
13.951 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0)))))) in n
13.952 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))))) in n
13.952 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) in n
13.952 * [taylor]: Taking taylor expansion of 0.5 in n
13.952 * [backup-simplify]: Simplify 0.5 into 0.5
13.952 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ -1 k))) in n
13.952 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n
13.952 * [taylor]: Taking taylor expansion of 1.0 in n
13.952 * [backup-simplify]: Simplify 1.0 into 1.0
13.952 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
13.953 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
13.953 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
13.953 * [taylor]: Taking taylor expansion of (/ -1 k) in n
13.953 * [taylor]: Taking taylor expansion of -1 in n
13.953 * [backup-simplify]: Simplify -1 into -1
13.953 * [taylor]: Taking taylor expansion of k in n
13.953 * [backup-simplify]: Simplify k into k
13.953 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
13.953 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
13.953 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
13.953 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
13.953 * [taylor]: Taking taylor expansion of (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0)))) in n
13.953 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) in n
13.953 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n))))) in n
13.953 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n)))) in n
13.953 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in n
13.953 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
13.953 * [taylor]: Taking taylor expansion of (/ -1 k) in n
13.953 * [taylor]: Taking taylor expansion of -1 in n
13.954 * [backup-simplify]: Simplify -1 into -1
13.954 * [taylor]: Taking taylor expansion of k in n
13.954 * [backup-simplify]: Simplify k into k
13.954 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
13.954 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
13.954 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
13.954 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
13.954 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n
13.954 * [taylor]: Taking taylor expansion of 1.0 in n
13.954 * [backup-simplify]: Simplify 1.0 into 1.0
13.954 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
13.955 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
13.955 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n
13.955 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n
13.955 * [taylor]: Taking taylor expansion of -2.0 in n
13.955 * [backup-simplify]: Simplify -2.0 into -2.0
13.955 * [taylor]: Taking taylor expansion of (/ PI n) in n
13.955 * [taylor]: Taking taylor expansion of PI in n
13.955 * [backup-simplify]: Simplify PI into PI
13.955 * [taylor]: Taking taylor expansion of n in n
13.955 * [backup-simplify]: Simplify 0 into 0
13.955 * [backup-simplify]: Simplify 1 into 1
13.956 * [backup-simplify]: Simplify (/ PI 1) into PI
13.956 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
13.957 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI))
13.958 * [backup-simplify]: Simplify (+ (sqrt (/ -1 k)) (sqrt 1.0)) into (+ (sqrt (/ -1 k)) (sqrt 1.0))
13.959 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
13.960 * [backup-simplify]: Simplify (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n))) into (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))
13.962 * [backup-simplify]: Simplify (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))) into (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n))))
13.963 * [backup-simplify]: Simplify (log (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n))))) into (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))
13.964 * [backup-simplify]: Simplify (- (sqrt (/ -1 k))) into (- (sqrt (/ -1 k)))
13.964 * [backup-simplify]: Simplify (+ (sqrt 1.0) (- (sqrt (/ -1 k)))) into (- (sqrt 1.0) (sqrt (/ -1 k)))
13.965 * [backup-simplify]: Simplify (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) into (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k))))
13.966 * [backup-simplify]: Simplify (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))) into (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k))))))
13.968 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k))))))) into (exp (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k)))))))
13.969 * [taylor]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k))))) in n
13.969 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0)))))) in n
13.969 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))))) in n
13.969 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) in n
13.969 * [taylor]: Taking taylor expansion of 0.5 in n
13.969 * [backup-simplify]: Simplify 0.5 into 0.5
13.969 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ -1 k))) in n
13.969 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n
13.969 * [taylor]: Taking taylor expansion of 1.0 in n
13.969 * [backup-simplify]: Simplify 1.0 into 1.0
13.969 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
13.970 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
13.970 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
13.970 * [taylor]: Taking taylor expansion of (/ -1 k) in n
13.970 * [taylor]: Taking taylor expansion of -1 in n
13.970 * [backup-simplify]: Simplify -1 into -1
13.970 * [taylor]: Taking taylor expansion of k in n
13.970 * [backup-simplify]: Simplify k into k
13.970 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
13.970 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
13.970 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
13.970 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
13.970 * [taylor]: Taking taylor expansion of (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0)))) in n
13.970 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) in n
13.970 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n))))) in n
13.970 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n)))) in n
13.971 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in n
13.971 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
13.971 * [taylor]: Taking taylor expansion of (/ -1 k) in n
13.971 * [taylor]: Taking taylor expansion of -1 in n
13.971 * [backup-simplify]: Simplify -1 into -1
13.971 * [taylor]: Taking taylor expansion of k in n
13.971 * [backup-simplify]: Simplify k into k
13.971 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
13.971 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
13.971 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
13.971 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
13.971 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n
13.971 * [taylor]: Taking taylor expansion of 1.0 in n
13.971 * [backup-simplify]: Simplify 1.0 into 1.0
13.972 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
13.972 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
13.972 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n
13.972 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n
13.972 * [taylor]: Taking taylor expansion of -2.0 in n
13.972 * [backup-simplify]: Simplify -2.0 into -2.0
13.972 * [taylor]: Taking taylor expansion of (/ PI n) in n
13.972 * [taylor]: Taking taylor expansion of PI in n
13.972 * [backup-simplify]: Simplify PI into PI
13.972 * [taylor]: Taking taylor expansion of n in n
13.972 * [backup-simplify]: Simplify 0 into 0
13.972 * [backup-simplify]: Simplify 1 into 1
13.973 * [backup-simplify]: Simplify (/ PI 1) into PI
13.973 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
13.974 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI))
13.975 * [backup-simplify]: Simplify (+ (sqrt (/ -1 k)) (sqrt 1.0)) into (+ (sqrt (/ -1 k)) (sqrt 1.0))
13.976 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
13.977 * [backup-simplify]: Simplify (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n))) into (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))
13.979 * [backup-simplify]: Simplify (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))) into (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n))))
13.980 * [backup-simplify]: Simplify (log (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n))))) into (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))
13.981 * [backup-simplify]: Simplify (- (sqrt (/ -1 k))) into (- (sqrt (/ -1 k)))
13.981 * [backup-simplify]: Simplify (+ (sqrt 1.0) (- (sqrt (/ -1 k)))) into (- (sqrt 1.0) (sqrt (/ -1 k)))
13.981 * [backup-simplify]: Simplify (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) into (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k))))
13.983 * [backup-simplify]: Simplify (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))) into (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k))))))
13.985 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k))))))) into (exp (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k)))))))
13.985 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k))))))) in k
13.985 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k)))))) in k
13.985 * [taylor]: Taking taylor expansion of 0.5 in k
13.986 * [backup-simplify]: Simplify 0.5 into 0.5
13.986 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k))))) in k
13.986 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in k
13.986 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
13.986 * [taylor]: Taking taylor expansion of (/ -1 k) in k
13.986 * [taylor]: Taking taylor expansion of -1 in k
13.986 * [backup-simplify]: Simplify -1 into -1
13.986 * [taylor]: Taking taylor expansion of k in k
13.986 * [backup-simplify]: Simplify 0 into 0
13.986 * [backup-simplify]: Simplify 1 into 1
13.986 * [backup-simplify]: Simplify (/ -1 1) into -1
13.986 * [backup-simplify]: Simplify (sqrt 0) into 0
13.988 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
13.988 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k
13.988 * [taylor]: Taking taylor expansion of 1.0 in k
13.988 * [backup-simplify]: Simplify 1.0 into 1.0
13.988 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
13.989 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
13.989 * [taylor]: Taking taylor expansion of (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k)))) in k
13.989 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k
13.989 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k
13.989 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k
13.989 * [taylor]: Taking taylor expansion of -2.0 in k
13.989 * [backup-simplify]: Simplify -2.0 into -2.0
13.989 * [taylor]: Taking taylor expansion of PI in k
13.989 * [backup-simplify]: Simplify PI into PI
13.990 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
13.991 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI))
13.991 * [taylor]: Taking taylor expansion of (log n) in k
13.991 * [taylor]: Taking taylor expansion of n in k
13.991 * [backup-simplify]: Simplify n into n
13.991 * [backup-simplify]: Simplify (log n) into (log n)
13.991 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ -1 k))) in k
13.991 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k
13.991 * [taylor]: Taking taylor expansion of 1.0 in k
13.991 * [backup-simplify]: Simplify 1.0 into 1.0
13.992 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
13.992 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
13.992 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
13.992 * [taylor]: Taking taylor expansion of (/ -1 k) in k
13.992 * [taylor]: Taking taylor expansion of -1 in k
13.992 * [backup-simplify]: Simplify -1 into -1
13.992 * [taylor]: Taking taylor expansion of k in k
13.992 * [backup-simplify]: Simplify 0 into 0
13.993 * [backup-simplify]: Simplify 1 into 1
13.993 * [backup-simplify]: Simplify (/ -1 1) into -1
13.993 * [backup-simplify]: Simplify (sqrt 0) into 0
13.995 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
13.995 * [backup-simplify]: Simplify (+ 0 0) into 0
13.995 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
13.996 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n))
13.997 * [backup-simplify]: Simplify (- 0) into 0
13.997 * [backup-simplify]: Simplify (+ 0 0) into 0
13.998 * [backup-simplify]: Simplify (* (- (log (* -2.0 PI)) (log n)) 0) into 0
13.998 * [backup-simplify]: Simplify (* 0 0) into 0
13.999 * [backup-simplify]: Simplify (* 0.5 0) into 0
13.999 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
14.000 * [backup-simplify]: Simplify (+ (sqrt 1.0) (- +nan.0)) into (- (sqrt 1.0) +nan.0)
14.001 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0
14.002 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0
14.003 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
14.004 * [backup-simplify]: Simplify (- 0) into 0
14.004 * [backup-simplify]: Simplify (+ 0 0) into 0
14.006 * [backup-simplify]: Simplify (+ (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) +nan.0)) (* 0 0)) into (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log n)) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))))
14.007 * [backup-simplify]: Simplify (+ +nan.0 (sqrt 1.0)) into (- (sqrt 1.0) +nan.0)
14.013 * [backup-simplify]: Simplify (+ (* 0 (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log n)) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))))) (* (- (sqrt 1.0) +nan.0) 0)) into 0
14.013 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 0)) into 0
14.014 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
14.019 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
14.020 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
14.021 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
14.022 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0
14.025 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0
14.028 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
14.028 * [backup-simplify]: Simplify (- 0) into 0
14.029 * [backup-simplify]: Simplify (+ 0 0) into 0
14.031 * [backup-simplify]: Simplify (+ (* (- (log (* -2.0 PI)) (log n)) (- +nan.0)) (+ (* 0 (- (sqrt 1.0) +nan.0)) (* 0 0))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))
14.032 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
14.036 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
14.036 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
14.046 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))) (+ (* (- (sqrt 1.0) +nan.0) (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log n)) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))))) (* (- +nan.0) 0))) into (- (* (pow (sqrt 1.0) 2) (log (* -2.0 PI))) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* (pow (sqrt 1.0) 2) (log n)) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* +nan.0 (log n)))))))))
14.064 * [backup-simplify]: Simplify (+ (* 0.5 (- (* (pow (sqrt 1.0) 2) (log (* -2.0 PI))) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* (pow (sqrt 1.0) 2) (log n)) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* +nan.0 (log n)))))))))) (+ (* 0 0) (* 0 0))) into (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* +nan.0 (log n)))))))))
14.076 * [backup-simplify]: Simplify (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* +nan.0 (log n)))))))))) into (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))))
14.091 * [backup-simplify]: Simplify (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) into (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))))
14.092 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
14.093 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0
14.095 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0
14.096 * [backup-simplify]: Simplify (+ 0 0) into 0
14.097 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
14.098 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0
14.101 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
14.103 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))) 1)))) 1) into 0
14.103 * [backup-simplify]: Simplify (- 0) into 0
14.104 * [backup-simplify]: Simplify (+ 0 0) into 0
14.104 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- (sqrt 1.0) (sqrt (/ -1 k))))) into 0
14.106 * [backup-simplify]: Simplify (+ (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) 0) (* 0 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n))))) into 0
14.109 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k))))))) (+ (* (/ (pow 0 1) 1)))) into 0
14.109 * [taylor]: Taking taylor expansion of 0 in k
14.109 * [backup-simplify]: Simplify 0 into 0
14.109 * [backup-simplify]: Simplify 0 into 0
14.110 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
14.111 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.115 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
14.115 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
14.116 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
14.117 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
14.122 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2.0 PI) 1)))) 6) into 0
14.125 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0
14.126 * [backup-simplify]: Simplify (- 0) into 0
14.126 * [backup-simplify]: Simplify (+ 0 0) into 0
14.129 * [backup-simplify]: Simplify (+ (* (- (log (* -2.0 PI)) (log n)) (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- (sqrt 1.0) +nan.0)) (* 0 0)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))
14.130 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.134 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
14.135 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
14.135 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
14.148 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))) (+ (* (- (sqrt 1.0) +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))) (+ (* (- +nan.0) (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log n)) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))))) (* (- +nan.0) 0)))) into (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))
14.164 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (+ (* 0 (- (* (pow (sqrt 1.0) 2) (log (* -2.0 PI))) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* (pow (sqrt 1.0) 2) (log n)) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* +nan.0 (log n)))))))))) (+ (* 0 0) (* 0 0)))) into (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))))))
14.181 * [backup-simplify]: Simplify (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* +nan.0 (log n)))))))))) (+ (* (/ (pow (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI)))))))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))))) (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))))))
14.205 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))))) (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))))) into (* (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))))) (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))))
14.206 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.207 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0
14.211 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0
14.211 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
14.212 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
14.213 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
14.214 * [backup-simplify]: Simplify (+ 0 0) into 0
14.215 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
14.217 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0
14.219 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
14.224 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))) 1)))) 2) into 0
14.225 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
14.226 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
14.226 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
14.227 * [backup-simplify]: Simplify (- 0) into 0
14.227 * [backup-simplify]: Simplify (+ 0 0) into 0
14.228 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- (sqrt 1.0) (sqrt (/ -1 k)))))) into 0
14.230 * [backup-simplify]: Simplify (+ (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) 0) (+ (* 0 0) (* 0 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))))) into 0
14.233 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
14.233 * [taylor]: Taking taylor expansion of 0 in k
14.233 * [backup-simplify]: Simplify 0 into 0
14.233 * [backup-simplify]: Simplify 0 into 0
14.233 * [backup-simplify]: Simplify 0 into 0
14.235 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0
14.236 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.240 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
14.240 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
14.241 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
14.242 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
14.253 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* -2.0 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* -2.0 PI) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* -2.0 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* -2.0 PI) 1)))) 24) into 0
14.258 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow n 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow n 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow n 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow n 1)))) 24) into 0
14.259 * [backup-simplify]: Simplify (- 0) into 0
14.259 * [backup-simplify]: Simplify (+ 0 0) into 0
14.262 * [backup-simplify]: Simplify (+ (* (- (log (* -2.0 PI)) (log n)) (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- (sqrt 1.0) +nan.0)) (* 0 0))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))
14.263 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.267 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
14.268 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0
14.269 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
14.284 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))) (+ (* (- (sqrt 1.0) +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))) (+ (* (- +nan.0) (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log n)) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))))) (* (- +nan.0) 0))))) into (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))
14.307 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (+ (* 0 (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (+ (* 0 (- (* (pow (sqrt 1.0) 2) (log (* -2.0 PI))) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* (pow (sqrt 1.0) 2) (log n)) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* +nan.0 (log n)))))))))) (+ (* 0 0) (* 0 0))))) into (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))))))
14.338 * [backup-simplify]: Simplify (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* +nan.0 (log n)))))))))) (+ (* (/ (pow (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI)))))))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI)))))))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (* (log n) (log (* -2.0 PI))))) (- (+ (* +nan.0 (* (sqrt 1.0) (* (log n) (log (* -2.0 PI))))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (+ (* +nan.0 (* (log n) (log (* -2.0 PI)))) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (pow (log n) 2))) (- (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log (* -2.0 PI)) 2)) (- (+ (* +nan.0 (* (sqrt 1.0) (pow (log n) 2))) (- (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (* (sqrt 1.0) (pow (log (* -2.0 PI)) 2))) (- (* +nan.0 (* (pow (sqrt 1.0) 2) (pow (log (* -2.0 PI)) 2))))))))))))))))))))))))))) (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))))))
14.385 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (* (log n) (log (* -2.0 PI))))) (- (+ (* +nan.0 (* (sqrt 1.0) (* (log n) (log (* -2.0 PI))))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (+ (* +nan.0 (* (log n) (log (* -2.0 PI)))) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (pow (log n) 2))) (- (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log (* -2.0 PI)) 2)) (- (+ (* +nan.0 (* (sqrt 1.0) (pow (log n) 2))) (- (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (* (sqrt 1.0) (pow (log (* -2.0 PI)) 2))) (- (* +nan.0 (* (pow (sqrt 1.0) 2) (pow (log (* -2.0 PI)) 2))))))))))))))))))))))))))) (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))))) into (* (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (* (log n) (log (* -2.0 PI))))) (- (+ (* +nan.0 (* (sqrt 1.0) (* (log n) (log (* -2.0 PI))))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (+ (* +nan.0 (* (log n) (log (* -2.0 PI)))) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (pow (log n) 2))) (- (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log (* -2.0 PI)) 2)) (- (+ (* +nan.0 (* (sqrt 1.0) (pow (log n) 2))) (- (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (* (sqrt 1.0) (pow (log (* -2.0 PI)) 2))) (- (* +nan.0 (* (pow (sqrt 1.0) 2) (pow (log (* -2.0 PI)) 2))))))))))))))))))))))))))) (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))))
14.474 * [backup-simplify]: Simplify (+ (* (* (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (* (log (/ 1 (- n))) (log (* -2.0 PI))))) (- (+ (* +nan.0 (* (sqrt 1.0) (* (log (/ 1 (- n))) (log (* -2.0 PI))))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (/ 1 (- n))))) (- (+ (* +nan.0 (* (log (/ 1 (- n))) (log (* -2.0 PI)))) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (pow (log (/ 1 (- n))) 2))) (- (+ (* +nan.0 (pow (log (/ 1 (- n))) 2)) (- (+ (* +nan.0 (pow (log (* -2.0 PI)) 2)) (- (+ (* +nan.0 (* (sqrt 1.0) (pow (log (/ 1 (- n))) 2))) (- (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (+ (* +nan.0 (* (sqrt 1.0) (pow (log (* -2.0 PI)) 2))) (- (* +nan.0 (* (pow (sqrt 1.0) 2) (pow (log (* -2.0 PI)) 2))))))))))))))))))))))))))) (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ 1 (- n))))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (/ 1 (- n))))) (- (* +nan.0 (log (/ 1 (- n))))))))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (* (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (/ 1 (- n))))) (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2.0 PI))))))))) (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ 1 (- n))))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (/ 1 (- n))))) (- (* +nan.0 (log (/ 1 (- n))))))))))))) (* (/ 1 (- k)) 1)) (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ 1 (- n))))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (/ 1 (- n))))) (- (* +nan.0 (log (/ 1 (- n)))))))))))))) into (- (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (pow (log (* -2.0 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (sqrt 1.0) (pow (log (/ -1 n)) 2))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (sqrt 1.0) (log (/ -1 n)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (log (* -2.0 PI))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (sqrt 1.0) (* (log (/ -1 n)) (log (* -2.0 PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (log (* -2.0 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (sqrt 1.0) (log (* -2.0 PI)))) k)) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (sqrt 1.0) (log (/ -1 n)))) k)) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (sqrt 1.0) (log (* -2.0 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (pow (sqrt 1.0) 2) (* (log (/ -1 n)) (log (* -2.0 PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (log (/ -1 n))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (log (/ -1 n))) k)) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (pow (sqrt 1.0) 2) (pow (log (* -2.0 PI)) 2))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (pow (sqrt 1.0) 2) (pow (log (/ -1 n)) 2))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (sqrt 1.0) (pow (log (* -2.0 PI)) 2))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (pow (log (/ -1 n)) 2)) (pow k 2))) (- (* +nan.0 (/ (* (log (* -2.0 PI)) (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (log (/ -1 n)))) (pow k 2))))))))))))))))))))))))))))))))))))
14.474 * * * * [progress]: [ 4 / 4 ] generating series at (2)
14.476 * [backup-simplify]: Simplify (/ (* 1.0 (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (sqrt k)) into (* 1.0 (* (pow (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt k)))) (sqrt (/ 1 k))))
14.476 * [approximate]: Taking taylor expansion of (* 1.0 (* (pow (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt k)))) (sqrt (/ 1 k)))) in (n k) around 0
14.476 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt k)))) (sqrt (/ 1 k)))) in k
14.476 * [taylor]: Taking taylor expansion of 1.0 in k
14.476 * [backup-simplify]: Simplify 1.0 into 1.0
14.476 * [taylor]: Taking taylor expansion of (* (pow (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt k)))) (sqrt (/ 1 k))) in k
14.476 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt k)))) in k
14.476 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt k))) (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0)))))) in k
14.477 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt k))) (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))))) in k
14.477 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt k))) in k
14.477 * [taylor]: Taking taylor expansion of 0.5 in k
14.477 * [backup-simplify]: Simplify 0.5 into 0.5
14.477 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt k)) in k
14.477 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k
14.477 * [taylor]: Taking taylor expansion of 1.0 in k
14.477 * [backup-simplify]: Simplify 1.0 into 1.0
14.477 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
14.478 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
14.478 * [taylor]: Taking taylor expansion of (sqrt k) in k
14.478 * [taylor]: Taking taylor expansion of k in k
14.478 * [backup-simplify]: Simplify 0 into 0
14.478 * [backup-simplify]: Simplify 1 into 1
14.478 * [backup-simplify]: Simplify (sqrt 0) into 0
14.480 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
14.480 * [taylor]: Taking taylor expansion of (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0)))) in k
14.480 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) in k
14.480 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI))))) in k
14.480 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI)))) in k
14.480 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in k
14.480 * [taylor]: Taking taylor expansion of (sqrt k) in k
14.480 * [taylor]: Taking taylor expansion of k in k
14.480 * [backup-simplify]: Simplify 0 into 0
14.480 * [backup-simplify]: Simplify 1 into 1
14.480 * [backup-simplify]: Simplify (sqrt 0) into 0
14.481 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
14.481 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k
14.481 * [taylor]: Taking taylor expansion of 1.0 in k
14.482 * [backup-simplify]: Simplify 1.0 into 1.0
14.482 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
14.482 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
14.483 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k
14.483 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k
14.483 * [taylor]: Taking taylor expansion of 2.0 in k
14.483 * [backup-simplify]: Simplify 2.0 into 2.0
14.483 * [taylor]: Taking taylor expansion of (* n PI) in k
14.483 * [taylor]: Taking taylor expansion of n in k
14.483 * [backup-simplify]: Simplify n into n
14.483 * [taylor]: Taking taylor expansion of PI in k
14.483 * [backup-simplify]: Simplify PI into PI
14.483 * [backup-simplify]: Simplify (* n PI) into (* n PI)
14.483 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI))
14.483 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI)))
14.484 * [backup-simplify]: Simplify (+ 0 (sqrt 1.0)) into (sqrt 1.0)
14.485 * [backup-simplify]: Simplify (* (sqrt 1.0) (log (* 2.0 (* n PI)))) into (* (sqrt 1.0) (log (* 2.0 (* n PI))))
14.485 * [backup-simplify]: Simplify (exp (* (sqrt 1.0) (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) (sqrt 1.0))
14.486 * [backup-simplify]: Simplify (log (pow (* 2.0 (* n PI)) (sqrt 1.0))) into (log (pow (* 2.0 (* n PI)) (sqrt 1.0)))
14.486 * [backup-simplify]: Simplify (- 0) into 0
14.487 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0)
14.488 * [backup-simplify]: Simplify (* 0.5 (sqrt 1.0)) into (* 0.5 (sqrt 1.0))
14.489 * [backup-simplify]: Simplify (* (* 0.5 (sqrt 1.0)) (log (pow (* 2.0 (* n PI)) (sqrt 1.0)))) into (* 0.5 (* (log (pow (* 2.0 (* n PI)) (sqrt 1.0))) (sqrt 1.0)))
14.490 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (pow (* 2.0 (* n PI)) (sqrt 1.0))) (sqrt 1.0)))) into (exp (* 0.5 (* (log (pow (* 2.0 (* n PI)) (sqrt 1.0))) (sqrt 1.0))))
14.490 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
14.490 * [taylor]: Taking taylor expansion of (/ 1 k) in k
14.490 * [taylor]: Taking taylor expansion of k in k
14.490 * [backup-simplify]: Simplify 0 into 0
14.490 * [backup-simplify]: Simplify 1 into 1
14.491 * [backup-simplify]: Simplify (/ 1 1) into 1
14.491 * [backup-simplify]: Simplify (sqrt 0) into 0
14.492 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
14.492 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt k)))) (sqrt (/ 1 k)))) in n
14.492 * [taylor]: Taking taylor expansion of 1.0 in n
14.492 * [backup-simplify]: Simplify 1.0 into 1.0
14.492 * [taylor]: Taking taylor expansion of (* (pow (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt k)))) (sqrt (/ 1 k))) in n
14.492 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt k)))) in n
14.492 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt k))) (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0)))))) in n
14.493 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt k))) (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))))) in n
14.493 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt k))) in n
14.493 * [taylor]: Taking taylor expansion of 0.5 in n
14.493 * [backup-simplify]: Simplify 0.5 into 0.5
14.493 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt k)) in n
14.493 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n
14.493 * [taylor]: Taking taylor expansion of 1.0 in n
14.493 * [backup-simplify]: Simplify 1.0 into 1.0
14.493 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
14.494 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
14.494 * [taylor]: Taking taylor expansion of (sqrt k) in n
14.494 * [taylor]: Taking taylor expansion of k in n
14.494 * [backup-simplify]: Simplify k into k
14.494 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
14.494 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
14.494 * [taylor]: Taking taylor expansion of (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0)))) in n
14.494 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) in n
14.494 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI))))) in n
14.494 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI)))) in n
14.494 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in n
14.494 * [taylor]: Taking taylor expansion of (sqrt k) in n
14.494 * [taylor]: Taking taylor expansion of k in n
14.494 * [backup-simplify]: Simplify k into k
14.494 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
14.494 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
14.494 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n
14.494 * [taylor]: Taking taylor expansion of 1.0 in n
14.494 * [backup-simplify]: Simplify 1.0 into 1.0
14.495 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
14.495 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
14.495 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n
14.495 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n
14.496 * [taylor]: Taking taylor expansion of 2.0 in n
14.496 * [backup-simplify]: Simplify 2.0 into 2.0
14.496 * [taylor]: Taking taylor expansion of (* n PI) in n
14.496 * [taylor]: Taking taylor expansion of n in n
14.496 * [backup-simplify]: Simplify 0 into 0
14.496 * [backup-simplify]: Simplify 1 into 1
14.496 * [taylor]: Taking taylor expansion of PI in n
14.496 * [backup-simplify]: Simplify PI into PI
14.496 * [backup-simplify]: Simplify (* 0 PI) into 0
14.497 * [backup-simplify]: Simplify (* 2.0 0) into 0
14.498 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
14.499 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI)
14.500 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
14.501 * [backup-simplify]: Simplify (+ (sqrt k) (sqrt 1.0)) into (+ (sqrt k) (sqrt 1.0))
14.502 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
14.503 * [backup-simplify]: Simplify (* (+ (sqrt k) (sqrt 1.0)) (+ (log (* 2.0 PI)) (log n))) into (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))
14.505 * [backup-simplify]: Simplify (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))) into (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0))))
14.506 * [backup-simplify]: Simplify (log (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0))))) into (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))
14.506 * [backup-simplify]: Simplify (- (sqrt k)) into (- (sqrt k))
14.507 * [backup-simplify]: Simplify (+ (sqrt 1.0) (- (sqrt k))) into (- (sqrt 1.0) (sqrt k))
14.507 * [backup-simplify]: Simplify (* 0.5 (- (sqrt 1.0) (sqrt k))) into (* 0.5 (- (sqrt 1.0) (sqrt k)))
14.509 * [backup-simplify]: Simplify (* (* 0.5 (- (sqrt 1.0) (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))) into (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k)))))
14.510 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k)))))) into (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k))))))
14.511 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
14.511 * [taylor]: Taking taylor expansion of (/ 1 k) in n
14.511 * [taylor]: Taking taylor expansion of k in n
14.511 * [backup-simplify]: Simplify k into k
14.511 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
14.511 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
14.511 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
14.511 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
14.511 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt k)))) (sqrt (/ 1 k)))) in n
14.511 * [taylor]: Taking taylor expansion of 1.0 in n
14.511 * [backup-simplify]: Simplify 1.0 into 1.0
14.511 * [taylor]: Taking taylor expansion of (* (pow (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt k)))) (sqrt (/ 1 k))) in n
14.511 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt k)))) in n
14.511 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt k))) (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0)))))) in n
14.511 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt k))) (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))))) in n
14.511 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt k))) in n
14.511 * [taylor]: Taking taylor expansion of 0.5 in n
14.511 * [backup-simplify]: Simplify 0.5 into 0.5
14.511 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt k)) in n
14.511 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n
14.511 * [taylor]: Taking taylor expansion of 1.0 in n
14.511 * [backup-simplify]: Simplify 1.0 into 1.0
14.512 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
14.512 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
14.512 * [taylor]: Taking taylor expansion of (sqrt k) in n
14.512 * [taylor]: Taking taylor expansion of k in n
14.512 * [backup-simplify]: Simplify k into k
14.512 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
14.513 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
14.513 * [taylor]: Taking taylor expansion of (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0)))) in n
14.513 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) in n
14.513 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI))))) in n
14.513 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI)))) in n
14.513 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in n
14.513 * [taylor]: Taking taylor expansion of (sqrt k) in n
14.513 * [taylor]: Taking taylor expansion of k in n
14.513 * [backup-simplify]: Simplify k into k
14.513 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
14.513 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
14.513 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n
14.513 * [taylor]: Taking taylor expansion of 1.0 in n
14.513 * [backup-simplify]: Simplify 1.0 into 1.0
14.513 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
14.514 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
14.514 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n
14.514 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n
14.514 * [taylor]: Taking taylor expansion of 2.0 in n
14.514 * [backup-simplify]: Simplify 2.0 into 2.0
14.514 * [taylor]: Taking taylor expansion of (* n PI) in n
14.514 * [taylor]: Taking taylor expansion of n in n
14.514 * [backup-simplify]: Simplify 0 into 0
14.514 * [backup-simplify]: Simplify 1 into 1
14.514 * [taylor]: Taking taylor expansion of PI in n
14.514 * [backup-simplify]: Simplify PI into PI
14.515 * [backup-simplify]: Simplify (* 0 PI) into 0
14.515 * [backup-simplify]: Simplify (* 2.0 0) into 0
14.516 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
14.518 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI)
14.519 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
14.519 * [backup-simplify]: Simplify (+ (sqrt k) (sqrt 1.0)) into (+ (sqrt k) (sqrt 1.0))
14.521 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
14.522 * [backup-simplify]: Simplify (* (+ (sqrt k) (sqrt 1.0)) (+ (log (* 2.0 PI)) (log n))) into (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))
14.523 * [backup-simplify]: Simplify (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))) into (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0))))
14.525 * [backup-simplify]: Simplify (log (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0))))) into (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))
14.525 * [backup-simplify]: Simplify (- (sqrt k)) into (- (sqrt k))
14.526 * [backup-simplify]: Simplify (+ (sqrt 1.0) (- (sqrt k))) into (- (sqrt 1.0) (sqrt k))
14.526 * [backup-simplify]: Simplify (* 0.5 (- (sqrt 1.0) (sqrt k))) into (* 0.5 (- (sqrt 1.0) (sqrt k)))
14.528 * [backup-simplify]: Simplify (* (* 0.5 (- (sqrt 1.0) (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))) into (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k)))))
14.530 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k)))))) into (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k))))))
14.530 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
14.530 * [taylor]: Taking taylor expansion of (/ 1 k) in n
14.530 * [taylor]: Taking taylor expansion of k in n
14.530 * [backup-simplify]: Simplify k into k
14.530 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
14.530 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
14.530 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
14.531 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
14.533 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k)))))) (sqrt (/ 1 k))) into (* (sqrt (/ 1 k)) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k)))))))
14.535 * [backup-simplify]: Simplify (* 1.0 (* (sqrt (/ 1 k)) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k)))))))) into (* 1.0 (* (sqrt (/ 1 k)) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k))))))))
14.535 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k)))))))) in k
14.535 * [taylor]: Taking taylor expansion of 1.0 in k
14.535 * [backup-simplify]: Simplify 1.0 into 1.0
14.535 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k))))))) in k
14.535 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
14.535 * [taylor]: Taking taylor expansion of (/ 1 k) in k
14.535 * [taylor]: Taking taylor expansion of k in k
14.535 * [backup-simplify]: Simplify 0 into 0
14.535 * [backup-simplify]: Simplify 1 into 1
14.536 * [backup-simplify]: Simplify (/ 1 1) into 1
14.536 * [backup-simplify]: Simplify (sqrt 0) into 0
14.538 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
14.538 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k)))))) in k
14.538 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k))))) in k
14.538 * [taylor]: Taking taylor expansion of 0.5 in k
14.538 * [backup-simplify]: Simplify 0.5 into 0.5
14.538 * [taylor]: Taking taylor expansion of (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k)))) in k
14.538 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k
14.538 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k
14.538 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k
14.538 * [taylor]: Taking taylor expansion of 2.0 in k
14.538 * [backup-simplify]: Simplify 2.0 into 2.0
14.538 * [taylor]: Taking taylor expansion of PI in k
14.538 * [backup-simplify]: Simplify PI into PI
14.538 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
14.539 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
14.539 * [taylor]: Taking taylor expansion of (log n) in k
14.539 * [taylor]: Taking taylor expansion of n in k
14.540 * [backup-simplify]: Simplify n into n
14.540 * [backup-simplify]: Simplify (log n) into (log n)
14.540 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k))) in k
14.540 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in k
14.540 * [taylor]: Taking taylor expansion of (sqrt k) in k
14.540 * [taylor]: Taking taylor expansion of k in k
14.540 * [backup-simplify]: Simplify 0 into 0
14.540 * [backup-simplify]: Simplify 1 into 1
14.540 * [backup-simplify]: Simplify (sqrt 0) into 0
14.541 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
14.541 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k
14.541 * [taylor]: Taking taylor expansion of 1.0 in k
14.541 * [backup-simplify]: Simplify 1.0 into 1.0
14.542 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
14.542 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
14.542 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt k)) in k
14.542 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k
14.542 * [taylor]: Taking taylor expansion of 1.0 in k
14.543 * [backup-simplify]: Simplify 1.0 into 1.0
14.543 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
14.543 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
14.544 * [taylor]: Taking taylor expansion of (sqrt k) in k
14.544 * [taylor]: Taking taylor expansion of k in k
14.544 * [backup-simplify]: Simplify 0 into 0
14.544 * [backup-simplify]: Simplify 1 into 1
14.544 * [backup-simplify]: Simplify (sqrt 0) into 0
14.545 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
14.546 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n))
14.547 * [backup-simplify]: Simplify (+ 0 (sqrt 1.0)) into (sqrt 1.0)
14.548 * [backup-simplify]: Simplify (- 0) into 0
14.548 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0)
14.550 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt 1.0)) into (pow (sqrt 1.0) 2)
14.553 * [backup-simplify]: Simplify (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)) into (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))
14.555 * [backup-simplify]: Simplify (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))) into (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))
14.558 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) into (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))
14.561 * [backup-simplify]: Simplify (* 0 (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))) into 0
14.561 * [backup-simplify]: Simplify (* 1.0 0) into 0
14.561 * [backup-simplify]: Simplify 0 into 0
14.562 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
14.563 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0
14.565 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0
14.566 * [backup-simplify]: Simplify (+ 0 0) into 0
14.567 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
14.568 * [backup-simplify]: Simplify (+ (* (+ (sqrt k) (sqrt 1.0)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0
14.570 * [backup-simplify]: Simplify (* (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
14.573 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))) 1)))) 1) into 0
14.573 * [backup-simplify]: Simplify (- 0) into 0
14.573 * [backup-simplify]: Simplify (+ 0 0) into 0
14.574 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- (sqrt 1.0) (sqrt k)))) into 0
14.576 * [backup-simplify]: Simplify (+ (* (* 0.5 (- (sqrt 1.0) (sqrt k))) 0) (* 0 (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0))))) into 0
14.578 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k)))))) (+ (* (/ (pow 0 1) 1)))) into 0
14.580 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k)))))) 0) (* 0 (sqrt (/ 1 k)))) into 0
14.583 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (* (sqrt (/ 1 k)) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k))))))))) into 0
14.583 * [taylor]: Taking taylor expansion of 0 in k
14.583 * [backup-simplify]: Simplify 0 into 0
14.584 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
14.584 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
14.585 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
14.588 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) (- +nan.0)) (* (- +nan.0) (sqrt 1.0))) into (- (* +nan.0 (sqrt 1.0)))
14.589 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0
14.590 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0
14.591 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
14.592 * [backup-simplify]: Simplify (+ 0 0) into 0
14.595 * [backup-simplify]: Simplify (+ (* (+ (log (* 2.0 PI)) (log n)) (- (* +nan.0 (sqrt 1.0)))) (* 0 (pow (sqrt 1.0) 2))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (* (sqrt 1.0) (log n))))))
14.601 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (* (sqrt 1.0) (log n))))))) (* 0 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (* (sqrt 1.0) (log n))))))
14.612 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (+ (* (/ (pow (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (* (sqrt 1.0) (log n)))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (* (sqrt 1.0) (log n))))) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))
14.620 * [backup-simplify]: Simplify (+ (* 0 (* -1 (* (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (* (sqrt 1.0) (log n))))) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))) (* +nan.0 (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))
14.622 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))) (* 0 0)) into (- (* +nan.0 (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))
14.624 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))
14.624 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
14.625 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
14.626 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
14.627 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
14.630 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0
14.631 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
14.632 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
14.632 * [backup-simplify]: Simplify (+ 0 0) into 0
14.633 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
14.635 * [backup-simplify]: Simplify (+ (* (+ (sqrt k) (sqrt 1.0)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0
14.638 * [backup-simplify]: Simplify (* (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
14.643 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))) 1)))) 2) into 0
14.644 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
14.644 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
14.645 * [backup-simplify]: Simplify (- 0) into 0
14.645 * [backup-simplify]: Simplify (+ 0 0) into 0
14.646 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- (sqrt 1.0) (sqrt k))))) into 0
14.648 * [backup-simplify]: Simplify (+ (* (* 0.5 (- (sqrt 1.0) (sqrt k))) 0) (+ (* 0 0) (* 0 (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))))) into 0
14.651 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
14.654 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k)))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0
14.657 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 k)) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k)))))))))) into 0
14.657 * [taylor]: Taking taylor expansion of 0 in k
14.657 * [backup-simplify]: Simplify 0 into 0
14.657 * [backup-simplify]: Simplify 0 into 0
14.658 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
14.661 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
14.661 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
14.662 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
14.664 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
14.665 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
14.666 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
14.671 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) (- +nan.0)) (+ (* (- +nan.0) (- +nan.0)) (* (- +nan.0) (sqrt 1.0)))) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))
14.672 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0
14.675 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0
14.677 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
14.677 * [backup-simplify]: Simplify (+ 0 0) into 0
14.682 * [backup-simplify]: Simplify (+ (* (+ (log (* 2.0 PI)) (log n)) (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))) (+ (* 0 (- (* +nan.0 (sqrt 1.0)))) (* 0 (pow (sqrt 1.0) 2)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))
14.693 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (+ (* 0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (* (sqrt 1.0) (log n))))))) (* 0 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))
14.705 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (+ (* (/ (pow (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (* (sqrt 1.0) (log n)))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (pow (log n) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 2) (log n)))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))))))) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))
14.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.708 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
14.733 * [backup-simplify]: Simplify (+ (* 0 (* -1 (* (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (pow (log n) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 2) (log n)))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))))))) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))) (+ (* +nan.0 (* -1 (* (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (* (sqrt 1.0) (log n))))) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))) (* +nan.0 (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))) into (- (+ (* +nan.0 (* (sqrt 1.0) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (log n)))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (sqrt 1.0) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))) (- (* +nan.0 (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))))))
14.749 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (sqrt 1.0) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (log n)))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (sqrt 1.0) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))) (- (* +nan.0 (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))) (* 0 0))) into (- (+ (* +nan.0 (* (sqrt 1.0) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (log n)))) (- (+ (* +nan.0 (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))) (- (* +nan.0 (* (log (* 2.0 PI)) (* (sqrt 1.0) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))))))))
14.758 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (sqrt 1.0) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (log n)))) (- (+ (* +nan.0 (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))) (- (* +nan.0 (* (log (* 2.0 PI)) (* (sqrt 1.0) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))))))))))) into (- (+ (* +nan.0 (* (sqrt 1.0) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (log n)))) (- (+ (* +nan.0 (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))) (- (* +nan.0 (* (log (* 2.0 PI)) (* (sqrt 1.0) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))))))))
14.759 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
14.760 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0
14.762 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
14.763 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
14.769 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0
14.770 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
14.772 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0
14.772 * [backup-simplify]: Simplify (+ 0 0) into 0
14.773 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
14.775 * [backup-simplify]: Simplify (+ (* (+ (sqrt k) (sqrt 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n)))))) into 0
14.778 * [backup-simplify]: Simplify (* (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
14.786 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))) 1)))) 6) into 0
14.787 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0
14.788 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
14.788 * [backup-simplify]: Simplify (- 0) into 0
14.788 * [backup-simplify]: Simplify (+ 0 0) into 0
14.790 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (sqrt 1.0) (sqrt k)))))) into 0
14.792 * [backup-simplify]: Simplify (+ (* (* 0.5 (- (sqrt 1.0) (sqrt k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0))))))) into 0
14.795 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
14.798 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0
14.801 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 k)) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k))))))))))) into 0
14.801 * [taylor]: Taking taylor expansion of 0 in k
14.801 * [backup-simplify]: Simplify 0 into 0
14.801 * [backup-simplify]: Simplify 0 into 0
14.801 * [backup-simplify]: Simplify 0 into 0
14.802 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0
14.806 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
14.806 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
14.807 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
14.810 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
14.811 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0
14.811 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
14.819 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) (- +nan.0)) (+ (* (- +nan.0) (- +nan.0)) (+ (* (- +nan.0) (- +nan.0)) (* (- +nan.0) (sqrt 1.0))))) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))
14.820 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
14.826 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0
14.829 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0
14.829 * [backup-simplify]: Simplify (+ 0 0) into 0
14.835 * [backup-simplify]: Simplify (+ (* (+ (log (* 2.0 PI)) (log n)) (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))) (+ (* 0 (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))) (+ (* 0 (- (* +nan.0 (sqrt 1.0)))) (* 0 (pow (sqrt 1.0) 2))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))
14.851 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (+ (* 0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (+ (* 0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (* (sqrt 1.0) (log n))))))) (* 0 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))
14.879 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (+ (* (/ (pow (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (* (sqrt 1.0) (log n)))))) 3) 6)) (* (/ (pow (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (* (sqrt 1.0) (log n)))))) 1) 1) (/ (pow (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))) 1) 1)) (* (/ (pow (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))) 1) 1)))) into (* -1 (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 2) (log n)))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (* (pow (sqrt 1.0) 3) (log n)))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 3) (pow (log n) 3))) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (pow (log n) 2))) (- (+ (* +nan.0 (* (sqrt 1.0) (pow (log n) 2))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 3) (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 3) (pow (log n) 2)))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0))) (- (* +nan.0 (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n))))))))))))))))))))))))))))))))
14.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.884 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
14.959 * [backup-simplify]: Simplify (+ (* 0 (* -1 (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 2) (log n)))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (* (pow (sqrt 1.0) 3) (log n)))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 3) (pow (log n) 3))) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (pow (log n) 2))) (- (+ (* +nan.0 (* (sqrt 1.0) (pow (log n) 2))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 3) (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 3) (pow (log n) 2)))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0))) (- (* +nan.0 (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n))))))))))))))))))))))))))))))))) (+ (* +nan.0 (* -1 (* (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (pow (log n) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 2) (log n)))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))))))) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))) (+ (* +nan.0 (* -1 (* (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (* (sqrt 1.0) (log n))))) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))) (* +nan.0 (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))))))) into (- (+ (* +nan.0 (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (log n))) (- (+ (* +nan.0 (* (sqrt 1.0) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (log n)))) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (pow (log n) 2)))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 2) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (log n))))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (sqrt 1.0) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))) (- (* +nan.0 (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))))))))))))))))
14.999 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (log n))) (- (+ (* +nan.0 (* (sqrt 1.0) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (log n)))) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (pow (log n) 2)))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 2) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (log n))))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (sqrt 1.0) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))) (- (* +nan.0 (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))))))))))))))))) (+ (* 0 (- (+ (* +nan.0 (* (sqrt 1.0) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (log n)))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (sqrt 1.0) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))) (- (* +nan.0 (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))) (* 0 0)))) into (- (+ (* +nan.0 (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (log n))) (- (+ (* +nan.0 (* (sqrt 1.0) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (log n)))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))) (- (+ (* +nan.0 (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 2) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (log n))))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (sqrt 1.0) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))) (- (* +nan.0 (* (pow (sqrt 1.0) 2) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (pow (log n) 2)))))))))))))))))))
15.033 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (log n))) (- (+ (* +nan.0 (* (sqrt 1.0) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (log n)))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))) (- (+ (* +nan.0 (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 2) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (log n))))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (sqrt 1.0) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))) (- (* +nan.0 (* (pow (sqrt 1.0) 2) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (pow (log n) 2))))))))))))))))))) into (- (+ (* +nan.0 (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (log n))) (- (+ (* +nan.0 (* (sqrt 1.0) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (log n)))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))) (- (+ (* +nan.0 (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 2) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (log n))))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (sqrt 1.0) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))) (- (* +nan.0 (* (pow (sqrt 1.0) 2) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (pow (log n) 2)))))))))))))))))))
15.076 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (log n))) (- (+ (* +nan.0 (* (sqrt 1.0) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (log n)))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))) (- (+ (* +nan.0 (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 2) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (log n))))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (sqrt 1.0) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))) (- (* +nan.0 (* (pow (sqrt 1.0) 2) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (pow (log n) 2))))))))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 1.0) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (log n)))) (- (+ (* +nan.0 (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))) (- (* +nan.0 (* (log (* 2.0 PI)) (* (sqrt 1.0) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))))))))))) (* k 1)) (- (* +nan.0 (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))))))) into (- (+ (* +nan.0 (* k (* (log (* 2.0 PI)) (* (sqrt 1.0) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))))))) (- (+ (* +nan.0 (* k (* (sqrt 1.0) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (log n))))) (- (+ (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (* (sqrt 1.0) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))))))) (- (+ (* +nan.0 (* (pow k 2) (* (pow (sqrt 1.0) 2) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (pow (log n) 2))))) (- (+ (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 2) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (log n)))))) (- (+ (* +nan.0 (* (pow k 2) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))))) (- (+ (* +nan.0 (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))) (- (+ (* +nan.0 (* (pow k 2) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (log n)))) (- (+ (* +nan.0 (* (pow k 2) (* (sqrt 1.0) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (log n))))) (- (+ (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))) (- (+ (* +nan.0 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))))))) (- (* +nan.0 (* k (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))))))))))))))))))))))))))))
15.078 * [backup-simplify]: Simplify (/ (* 1.0 (pow (pow (* (* 2.0 PI) (/ 1 n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) (/ (- (sqrt 1.0) (sqrt (/ 1 k))) 2.0))) (sqrt (/ 1 k))) into (* 1.0 (* (sqrt k) (pow (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))))))
15.078 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k))))))) in (n k) around 0
15.078 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k))))))) in k
15.078 * [taylor]: Taking taylor expansion of 1.0 in k
15.078 * [backup-simplify]: Simplify 1.0 into 1.0
15.078 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))))) in k
15.078 * [taylor]: Taking taylor expansion of (sqrt k) in k
15.078 * [taylor]: Taking taylor expansion of k in k
15.078 * [backup-simplify]: Simplify 0 into 0
15.078 * [backup-simplify]: Simplify 1 into 1
15.079 * [backup-simplify]: Simplify (sqrt 0) into 0
15.080 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
15.080 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k))))) in k
15.080 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))))) in k
15.080 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))))) in k
15.080 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) in k
15.080 * [taylor]: Taking taylor expansion of 0.5 in k
15.080 * [backup-simplify]: Simplify 0.5 into 0.5
15.080 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ 1 k))) in k
15.080 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k
15.080 * [taylor]: Taking taylor expansion of 1.0 in k
15.080 * [backup-simplify]: Simplify 1.0 into 1.0
15.080 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
15.081 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
15.081 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
15.081 * [taylor]: Taking taylor expansion of (/ 1 k) in k
15.081 * [taylor]: Taking taylor expansion of k in k
15.081 * [backup-simplify]: Simplify 0 into 0
15.081 * [backup-simplify]: Simplify 1 into 1
15.082 * [backup-simplify]: Simplify (/ 1 1) into 1
15.082 * [backup-simplify]: Simplify (sqrt 0) into 0
15.083 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
15.083 * [taylor]: Taking taylor expansion of (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) in k
15.083 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in k
15.083 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n))))) in k
15.083 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n)))) in k
15.083 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in k
15.083 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k
15.083 * [taylor]: Taking taylor expansion of 1.0 in k
15.083 * [backup-simplify]: Simplify 1.0 into 1.0
15.084 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
15.084 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
15.084 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
15.084 * [taylor]: Taking taylor expansion of (/ 1 k) in k
15.084 * [taylor]: Taking taylor expansion of k in k
15.084 * [backup-simplify]: Simplify 0 into 0
15.084 * [backup-simplify]: Simplify 1 into 1
15.085 * [backup-simplify]: Simplify (/ 1 1) into 1
15.085 * [backup-simplify]: Simplify (sqrt 0) into 0
15.086 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
15.086 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k
15.086 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k
15.086 * [taylor]: Taking taylor expansion of 2.0 in k
15.086 * [backup-simplify]: Simplify 2.0 into 2.0
15.086 * [taylor]: Taking taylor expansion of (/ PI n) in k
15.086 * [taylor]: Taking taylor expansion of PI in k
15.086 * [backup-simplify]: Simplify PI into PI
15.086 * [taylor]: Taking taylor expansion of n in k
15.086 * [backup-simplify]: Simplify n into n
15.087 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
15.087 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n))
15.087 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n)))
15.087 * [backup-simplify]: Simplify (+ 0 0) into 0
15.087 * [backup-simplify]: Simplify (* 0 (log (* 2.0 (/ PI n)))) into 0
15.087 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0
15.088 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ PI n))) into 0
15.089 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 (/ PI n)) 1)))) 1) into 0
15.090 * [backup-simplify]: Simplify (+ (sqrt 1.0) +nan.0) into (- (sqrt 1.0) +nan.0)
15.091 * [backup-simplify]: Simplify (+ (* 0 0) (* (- (sqrt 1.0) +nan.0) (log (* 2.0 (/ PI n))))) into (- (* (sqrt 1.0) (log (* 2.0 (/ PI n)))) (* +nan.0 (log (* 2.0 (/ PI n)))))
15.091 * [backup-simplify]: Simplify (exp (- (* (sqrt 1.0) (log (* 2.0 (/ PI n)))) (* +nan.0 (log (* 2.0 (/ PI n)))))) into (exp (- (* (sqrt 1.0) (log (* 2.0 (/ PI n)))) (* +nan.0 (log (* 2.0 (/ PI n))))))
15.092 * [backup-simplify]: Simplify (log (exp (- (* (sqrt 1.0) (log (* 2.0 (/ PI n)))) (* +nan.0 (log (* 2.0 (/ PI n))))))) into (- (* (sqrt 1.0) (log (* 2.0 (/ PI n)))) (* +nan.0 (log (* 2.0 (/ PI n)))))
15.093 * [backup-simplify]: Simplify (- 0) into 0
15.093 * [backup-simplify]: Simplify (+ 0 0) into 0
15.093 * [backup-simplify]: Simplify (* 0.5 0) into 0
15.094 * [backup-simplify]: Simplify (* 0 (- (* (sqrt 1.0) (log (* 2.0 (/ PI n)))) (* +nan.0 (log (* 2.0 (/ PI n)))))) into 0
15.094 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
15.095 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ PI n)))) into 0
15.097 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 (/ PI n)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 (/ PI n)) 1)))) 2) into 0
15.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.101 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
15.102 * [backup-simplify]: Simplify (+ 0 +nan.0) into (- +nan.0)
15.103 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- (sqrt 1.0) +nan.0) 0) (* (- +nan.0) (log (* 2.0 (/ PI n)))))) into (- (* +nan.0 (log (* 2.0 (/ PI n)))))
15.104 * [backup-simplify]: Simplify (* (exp (- (* (sqrt 1.0) (log (* 2.0 (/ PI n)))) (* +nan.0 (log (* 2.0 (/ PI n)))))) (+ (* (/ (pow (- (* +nan.0 (log (* 2.0 (/ PI n))))) 1) 1)))) into (* +nan.0 (* (exp (- (* (sqrt 1.0) (log (* 2.0 (/ PI n)))) (* +nan.0 (log (* 2.0 (/ PI n)))))) (log (* 2.0 (/ PI n)))))
15.106 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* +nan.0 (* (exp (- (* (sqrt 1.0) (log (* 2.0 (/ PI n)))) (* +nan.0 (log (* 2.0 (/ PI n)))))) (log (* 2.0 (/ PI n)))))) 1)) (pow (exp (- (* (sqrt 1.0) (log (* 2.0 (/ PI n)))) (* +nan.0 (log (* 2.0 (/ PI n)))))) 1)))) 1) into (* +nan.0 (log (* 2.0 (/ PI n))))
15.106 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
15.108 * [backup-simplify]: Simplify (+ (sqrt 1.0) (- +nan.0)) into (- (sqrt 1.0) +nan.0)
15.110 * [backup-simplify]: Simplify (+ (* 0.5 (- (sqrt 1.0) +nan.0)) (* 0 0)) into (- (* 0.5 (sqrt 1.0)) +nan.0)
15.112 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (log (* 2.0 (/ PI n))))) (* (- (* 0.5 (sqrt 1.0)) +nan.0) (- (* (sqrt 1.0) (log (* 2.0 (/ PI n)))) (* +nan.0 (log (* 2.0 (/ PI n))))))) into (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* 2.0 (/ PI n))))) (+ (* +nan.0 (log (* 2.0 (/ PI n)))) (- (* +nan.0 (* (sqrt 1.0) (log (* 2.0 (/ PI n))))))))
15.115 * [backup-simplify]: Simplify (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* 2.0 (/ PI n))))) (+ (* +nan.0 (log (* 2.0 (/ PI n)))) (- (* +nan.0 (* (sqrt 1.0) (log (* 2.0 (/ PI n))))))))) into (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* 2.0 (/ PI n))))) (+ (* +nan.0 (* (sqrt 1.0) (log (* 2.0 (/ PI n))))) (- (* +nan.0 (log (* 2.0 (/ PI n))))))))
15.115 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k))))))) in n
15.115 * [taylor]: Taking taylor expansion of 1.0 in n
15.115 * [backup-simplify]: Simplify 1.0 into 1.0
15.115 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))))) in n
15.115 * [taylor]: Taking taylor expansion of (sqrt k) in n
15.115 * [taylor]: Taking taylor expansion of k in n
15.115 * [backup-simplify]: Simplify k into k
15.115 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
15.115 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
15.115 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k))))) in n
15.115 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))))) in n
15.115 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))))) in n
15.115 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) in n
15.115 * [taylor]: Taking taylor expansion of 0.5 in n
15.115 * [backup-simplify]: Simplify 0.5 into 0.5
15.115 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ 1 k))) in n
15.115 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n
15.115 * [taylor]: Taking taylor expansion of 1.0 in n
15.115 * [backup-simplify]: Simplify 1.0 into 1.0
15.116 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
15.116 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
15.116 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
15.116 * [taylor]: Taking taylor expansion of (/ 1 k) in n
15.117 * [taylor]: Taking taylor expansion of k in n
15.117 * [backup-simplify]: Simplify k into k
15.117 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
15.117 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
15.117 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
15.117 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
15.117 * [taylor]: Taking taylor expansion of (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) in n
15.117 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in n
15.117 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n))))) in n
15.117 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n)))) in n
15.117 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in n
15.117 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n
15.117 * [taylor]: Taking taylor expansion of 1.0 in n
15.117 * [backup-simplify]: Simplify 1.0 into 1.0
15.118 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
15.118 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
15.118 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
15.118 * [taylor]: Taking taylor expansion of (/ 1 k) in n
15.118 * [taylor]: Taking taylor expansion of k in n
15.119 * [backup-simplify]: Simplify k into k
15.119 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
15.119 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
15.119 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
15.119 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
15.119 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n
15.119 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n
15.119 * [taylor]: Taking taylor expansion of 2.0 in n
15.119 * [backup-simplify]: Simplify 2.0 into 2.0
15.119 * [taylor]: Taking taylor expansion of (/ PI n) in n
15.119 * [taylor]: Taking taylor expansion of PI in n
15.119 * [backup-simplify]: Simplify PI into PI
15.119 * [taylor]: Taking taylor expansion of n in n
15.119 * [backup-simplify]: Simplify 0 into 0
15.119 * [backup-simplify]: Simplify 1 into 1
15.120 * [backup-simplify]: Simplify (/ PI 1) into PI
15.120 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
15.121 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
15.122 * [backup-simplify]: Simplify (+ (sqrt 1.0) (sqrt (/ 1 k))) into (+ (sqrt 1.0) (sqrt (/ 1 k)))
15.123 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
15.124 * [backup-simplify]: Simplify (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))
15.126 * [backup-simplify]: Simplify (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) into (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))))
15.127 * [backup-simplify]: Simplify (log (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))))) into (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))
15.127 * [backup-simplify]: Simplify (- (sqrt (/ 1 k))) into (- (sqrt (/ 1 k)))
15.128 * [backup-simplify]: Simplify (+ (sqrt 1.0) (- (sqrt (/ 1 k)))) into (- (sqrt 1.0) (sqrt (/ 1 k)))
15.128 * [backup-simplify]: Simplify (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) into (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k))))
15.130 * [backup-simplify]: Simplify (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k))))))
15.132 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k))))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k)))))))
15.132 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k))))))) in n
15.132 * [taylor]: Taking taylor expansion of 1.0 in n
15.132 * [backup-simplify]: Simplify 1.0 into 1.0
15.132 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))))) in n
15.132 * [taylor]: Taking taylor expansion of (sqrt k) in n
15.132 * [taylor]: Taking taylor expansion of k in n
15.132 * [backup-simplify]: Simplify k into k
15.132 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
15.132 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
15.132 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k))))) in n
15.132 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))))) in n
15.132 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))))) in n
15.132 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) in n
15.132 * [taylor]: Taking taylor expansion of 0.5 in n
15.132 * [backup-simplify]: Simplify 0.5 into 0.5
15.132 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ 1 k))) in n
15.133 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n
15.133 * [taylor]: Taking taylor expansion of 1.0 in n
15.133 * [backup-simplify]: Simplify 1.0 into 1.0
15.133 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
15.134 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
15.134 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
15.134 * [taylor]: Taking taylor expansion of (/ 1 k) in n
15.134 * [taylor]: Taking taylor expansion of k in n
15.134 * [backup-simplify]: Simplify k into k
15.134 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
15.134 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
15.134 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
15.134 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
15.134 * [taylor]: Taking taylor expansion of (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) in n
15.134 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in n
15.134 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n))))) in n
15.134 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n)))) in n
15.134 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in n
15.134 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n
15.134 * [taylor]: Taking taylor expansion of 1.0 in n
15.134 * [backup-simplify]: Simplify 1.0 into 1.0
15.135 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
15.135 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
15.135 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
15.135 * [taylor]: Taking taylor expansion of (/ 1 k) in n
15.135 * [taylor]: Taking taylor expansion of k in n
15.135 * [backup-simplify]: Simplify k into k
15.135 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
15.135 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
15.136 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
15.136 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
15.136 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n
15.136 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n
15.136 * [taylor]: Taking taylor expansion of 2.0 in n
15.136 * [backup-simplify]: Simplify 2.0 into 2.0
15.136 * [taylor]: Taking taylor expansion of (/ PI n) in n
15.136 * [taylor]: Taking taylor expansion of PI in n
15.136 * [backup-simplify]: Simplify PI into PI
15.136 * [taylor]: Taking taylor expansion of n in n
15.136 * [backup-simplify]: Simplify 0 into 0
15.136 * [backup-simplify]: Simplify 1 into 1
15.136 * [backup-simplify]: Simplify (/ PI 1) into PI
15.137 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
15.138 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
15.138 * [backup-simplify]: Simplify (+ (sqrt 1.0) (sqrt (/ 1 k))) into (+ (sqrt 1.0) (sqrt (/ 1 k)))
15.144 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
15.146 * [backup-simplify]: Simplify (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))
15.147 * [backup-simplify]: Simplify (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) into (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))))
15.149 * [backup-simplify]: Simplify (log (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))))) into (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))
15.149 * [backup-simplify]: Simplify (- (sqrt (/ 1 k))) into (- (sqrt (/ 1 k)))
15.149 * [backup-simplify]: Simplify (+ (sqrt 1.0) (- (sqrt (/ 1 k)))) into (- (sqrt 1.0) (sqrt (/ 1 k)))
15.150 * [backup-simplify]: Simplify (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) into (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k))))
15.152 * [backup-simplify]: Simplify (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k))))))
15.154 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k))))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k)))))))
15.156 * [backup-simplify]: Simplify (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k)))))))) into (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k))))))))
15.158 * [backup-simplify]: Simplify (* 1.0 (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k))))))))) into (* 1.0 (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k)))))))))
15.158 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k))))))))) in k
15.158 * [taylor]: Taking taylor expansion of 1.0 in k
15.158 * [backup-simplify]: Simplify 1.0 into 1.0
15.158 * [taylor]: Taking taylor expansion of (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k)))))))) in k
15.158 * [taylor]: Taking taylor expansion of (sqrt k) in k
15.158 * [taylor]: Taking taylor expansion of k in k
15.158 * [backup-simplify]: Simplify 0 into 0
15.158 * [backup-simplify]: Simplify 1 into 1
15.159 * [backup-simplify]: Simplify (sqrt 0) into 0
15.160 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
15.160 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k))))))) in k
15.160 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k)))))) in k
15.160 * [taylor]: Taking taylor expansion of 0.5 in k
15.160 * [backup-simplify]: Simplify 0.5 into 0.5
15.160 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k))))) in k
15.160 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k
15.160 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k
15.160 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k
15.160 * [taylor]: Taking taylor expansion of 2.0 in k
15.160 * [backup-simplify]: Simplify 2.0 into 2.0
15.160 * [taylor]: Taking taylor expansion of PI in k
15.160 * [backup-simplify]: Simplify PI into PI
15.161 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
15.162 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
15.162 * [taylor]: Taking taylor expansion of (log n) in k
15.162 * [taylor]: Taking taylor expansion of n in k
15.162 * [backup-simplify]: Simplify n into n
15.162 * [backup-simplify]: Simplify (log n) into (log n)
15.162 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in k
15.162 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ 1 k))) in k
15.162 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k
15.162 * [taylor]: Taking taylor expansion of 1.0 in k
15.162 * [backup-simplify]: Simplify 1.0 into 1.0
15.163 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
15.163 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
15.163 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
15.163 * [taylor]: Taking taylor expansion of (/ 1 k) in k
15.163 * [taylor]: Taking taylor expansion of k in k
15.163 * [backup-simplify]: Simplify 0 into 0
15.163 * [backup-simplify]: Simplify 1 into 1
15.164 * [backup-simplify]: Simplify (/ 1 1) into 1
15.164 * [backup-simplify]: Simplify (sqrt 0) into 0
15.165 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
15.165 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in k
15.165 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k
15.165 * [taylor]: Taking taylor expansion of 1.0 in k
15.165 * [backup-simplify]: Simplify 1.0 into 1.0
15.166 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
15.167 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
15.167 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
15.167 * [taylor]: Taking taylor expansion of (/ 1 k) in k
15.167 * [taylor]: Taking taylor expansion of k in k
15.167 * [backup-simplify]: Simplify 0 into 0
15.167 * [backup-simplify]: Simplify 1 into 1
15.167 * [backup-simplify]: Simplify (/ 1 1) into 1
15.167 * [backup-simplify]: Simplify (sqrt 0) into 0
15.169 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
15.169 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
15.170 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n))
15.170 * [backup-simplify]: Simplify (- 0) into 0
15.170 * [backup-simplify]: Simplify (+ 0 0) into 0
15.171 * [backup-simplify]: Simplify (+ 0 0) into 0
15.171 * [backup-simplify]: Simplify (* 0 0) into 0
15.172 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) 0) into 0
15.172 * [backup-simplify]: Simplify (* 0.5 0) into 0
15.173 * [backup-simplify]: Simplify (+ (sqrt 1.0) +nan.0) into (- (sqrt 1.0) +nan.0)
15.173 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
15.174 * [backup-simplify]: Simplify (+ (sqrt 1.0) (- +nan.0)) into (- (sqrt 1.0) +nan.0)
15.175 * [backup-simplify]: Simplify (+ (* 0 (- (sqrt 1.0) +nan.0)) (* (- (sqrt 1.0) +nan.0) 0)) into 0
15.176 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0
15.178 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0
15.178 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
15.179 * [backup-simplify]: Simplify (- 0) into 0
15.179 * [backup-simplify]: Simplify (+ 0 0) into 0
15.180 * [backup-simplify]: Simplify (+ (* (- (log (* 2.0 PI)) (log n)) 0) (* 0 0)) into 0
15.181 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 0)) into 0
15.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.184 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
15.184 * [backup-simplify]: Simplify (+ 0 +nan.0) into (- +nan.0)
15.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.188 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
15.188 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
15.189 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
15.194 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* (- (sqrt 1.0) +nan.0) (- (sqrt 1.0) +nan.0)) (* (- +nan.0) 0))) into (- (pow (sqrt 1.0) 2) (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))
15.195 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0
15.198 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0
15.200 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
15.200 * [backup-simplify]: Simplify (- 0) into 0
15.201 * [backup-simplify]: Simplify (+ 0 0) into 0
15.206 * [backup-simplify]: Simplify (+ (* (- (log (* 2.0 PI)) (log n)) (- (pow (sqrt 1.0) 2) (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))) (+ (* 0 0) (* 0 0))) into (- (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2)) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* (pow (sqrt 1.0) 2) (log n)) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (log n)))))))))
15.218 * [backup-simplify]: Simplify (+ (* 0.5 (- (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2)) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* (pow (sqrt 1.0) 2) (log n)) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (log n)))))))))) (+ (* 0 0) (* 0 0))) into (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (log n)))))))))
15.229 * [backup-simplify]: Simplify (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (log n)))))))))) into (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))))
15.240 * [backup-simplify]: Simplify (* 0 (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))))) into 0
15.241 * [backup-simplify]: Simplify (* 1.0 0) into 0
15.241 * [backup-simplify]: Simplify 0 into 0
15.242 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
15.242 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0
15.244 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0
15.244 * [backup-simplify]: Simplify (+ 0 0) into 0
15.246 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
15.247 * [backup-simplify]: Simplify (+ (* (+ (sqrt 1.0) (sqrt (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0
15.249 * [backup-simplify]: Simplify (* (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0
15.251 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) 1)))) 1) into 0
15.252 * [backup-simplify]: Simplify (- 0) into 0
15.252 * [backup-simplify]: Simplify (+ 0 0) into 0
15.253 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- (sqrt 1.0) (sqrt (/ 1 k))))) into 0
15.255 * [backup-simplify]: Simplify (+ (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) 0) (* 0 (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))))) into 0
15.257 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k))))))) (+ (* (/ (pow 0 1) 1)))) into 0
15.260 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k))))))))) into 0
15.262 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k)))))))))) into 0
15.262 * [taylor]: Taking taylor expansion of 0 in k
15.262 * [backup-simplify]: Simplify 0 into 0
15.262 * [backup-simplify]: Simplify 0 into 0
15.263 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
15.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.268 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
15.268 * [backup-simplify]: Simplify (+ 0 +nan.0) into (- +nan.0)
15.269 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
15.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.273 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
15.274 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
15.275 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
15.288 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* (- (sqrt 1.0) +nan.0) (- +nan.0)) (+ (* (- +nan.0) (- (sqrt 1.0) +nan.0)) (* (- +nan.0) 0)))) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))
15.289 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
15.295 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0
15.298 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0
15.298 * [backup-simplify]: Simplify (- 0) into 0
15.298 * [backup-simplify]: Simplify (+ 0 0) into 0
15.303 * [backup-simplify]: Simplify (+ (* (- (log (* 2.0 PI)) (log n)) (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))) (+ (* 0 (- (pow (sqrt 1.0) 2) (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))) (+ (* 0 0) (* 0 0)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))
15.319 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (+ (* 0 (- (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2)) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* (pow (sqrt 1.0) 2) (log n)) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (log n)))))))))) (+ (* 0 0) (* 0 0)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))
15.336 * [backup-simplify]: Simplify (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (log n)))))))))) (+ (* (/ (pow (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))) 1) 1)))) into (* -1 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))))
15.364 * [backup-simplify]: Simplify (+ (* 0 (* -1 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))))) (* +nan.0 (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))))) into (- (* +nan.0 (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))))))
15.379 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))))))) (* 0 0)) into (- (* +nan.0 (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))))))
15.390 * [backup-simplify]: Simplify (- (* +nan.0 (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))))) into (- (* +nan.0 (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))))))
15.391 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.392 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0
15.396 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0
15.397 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
15.397 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
15.398 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
15.398 * [backup-simplify]: Simplify (+ 0 0) into 0
15.399 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
15.401 * [backup-simplify]: Simplify (+ (* (+ (sqrt 1.0) (sqrt (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0
15.404 * [backup-simplify]: Simplify (* (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
15.409 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) 1)))) 2) into 0
15.410 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
15.410 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
15.411 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
15.411 * [backup-simplify]: Simplify (- 0) into 0
15.411 * [backup-simplify]: Simplify (+ 0 0) into 0
15.417 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- (sqrt 1.0) (sqrt (/ 1 k)))))) into 0
15.420 * [backup-simplify]: Simplify (+ (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) 0) (+ (* 0 0) (* 0 (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))))) into 0
15.423 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
15.423 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
15.426 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k)))))))))) into 0
15.428 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k))))))))))) into 0
15.429 * [taylor]: Taking taylor expansion of 0 in k
15.429 * [backup-simplify]: Simplify 0 into 0
15.429 * [backup-simplify]: Simplify 0 into 0
15.429 * [backup-simplify]: Simplify 0 into 0
15.430 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0
15.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.435 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
15.436 * [backup-simplify]: Simplify (+ 0 +nan.0) into (- +nan.0)
15.437 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0
15.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.442 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
15.442 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
15.443 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
15.454 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* (- (sqrt 1.0) +nan.0) (- +nan.0)) (+ (* (- +nan.0) (- +nan.0)) (+ (* (- +nan.0) (- (sqrt 1.0) +nan.0)) (* (- +nan.0) 0))))) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))
15.456 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
15.467 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 2.0 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* 2.0 PI) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* 2.0 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* 2.0 PI) 1)))) 24) into 0
15.471 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow n 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow n 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow n 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow n 1)))) 24) into 0
15.472 * [backup-simplify]: Simplify (- 0) into 0
15.472 * [backup-simplify]: Simplify (+ 0 0) into 0
15.478 * [backup-simplify]: Simplify (+ (* (- (log (* 2.0 PI)) (log n)) (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))) (+ (* 0 (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))) (+ (* 0 (- (pow (sqrt 1.0) 2) (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))) (+ (* 0 0) (* 0 0))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))
15.500 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (+ (* 0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (+ (* 0 (- (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2)) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* (pow (sqrt 1.0) 2) (log n)) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (log n)))))))))) (+ (* 0 0) (* 0 0))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))
15.523 * [backup-simplify]: Simplify (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (log n)))))))))) (+ (* (/ (pow (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))) 1) 1)))) into (* -1 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 2) (log n)))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (log n))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (pow (log n) 2))) (- (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (sqrt 1.0) (pow (log n) 2))) (- (+ (* +nan.0 (pow (log (* 2.0 PI)) 2)) (- (* +nan.0 (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n))))))))))))))))))))))))))))))
15.527 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
15.602 * [backup-simplify]: Simplify (+ (* 0 (* -1 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 2) (log n)))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (log n))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (pow (log n) 2))) (- (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (sqrt 1.0) (pow (log n) 2))) (- (+ (* +nan.0 (pow (log (* 2.0 PI)) 2)) (- (* +nan.0 (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n))))))))))))))))))))))))))))))) (+ (* +nan.0 (* -1 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))))) (* +nan.0 (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))))))) into (- (+ (* +nan.0 (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (* (sqrt 1.0) (log n)))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (log n))) (- (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (* (log (* 2.0 PI)) (sqrt 1.0)))))))))))))
15.676 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (* (sqrt 1.0) (log n)))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (log n))) (- (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (* (log (* 2.0 PI)) (sqrt 1.0)))))))))))))) (+ (* 0 (- (* +nan.0 (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))))))) (* 0 0))) into (- (+ (* +nan.0 (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (* (sqrt 1.0) (log n)))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (log n))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (* (log (* 2.0 PI)) (sqrt 1.0)))) (- (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (log (* 2.0 PI)))))))))))))
15.743 * [backup-simplify]: Simplify (- (+ (* +nan.0 (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (* (sqrt 1.0) (log n)))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (log n))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (* (log (* 2.0 PI)) (sqrt 1.0)))) (- (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (log (* 2.0 PI))))))))))))) into (- (+ (* +nan.0 (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (* (sqrt 1.0) (log n)))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (log n))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (* (log (* 2.0 PI)) (sqrt 1.0)))) (- (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (log (* 2.0 PI)))))))))))))
15.745 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.746 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
15.752 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0
15.753 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0
15.753 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
15.754 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0
15.754 * [backup-simplify]: Simplify (+ 0 0) into 0
15.756 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
15.758 * [backup-simplify]: Simplify (+ (* (+ (sqrt 1.0) (sqrt (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0
15.761 * [backup-simplify]: Simplify (* (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
15.768 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) 1)))) 6) into 0
15.769 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0
15.769 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
15.770 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0
15.770 * [backup-simplify]: Simplify (- 0) into 0
15.771 * [backup-simplify]: Simplify (+ 0 0) into 0
15.772 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (sqrt 1.0) (sqrt (/ 1 k))))))) into 0
15.775 * [backup-simplify]: Simplify (+ (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))))))) into 0
15.778 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
15.779 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
15.782 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k))))))))))) into 0
15.785 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k)))))))))))) into 0
15.785 * [taylor]: Taking taylor expansion of 0 in k
15.785 * [backup-simplify]: Simplify 0 into 0
15.785 * [backup-simplify]: Simplify 0 into 0
15.785 * [backup-simplify]: Simplify 0 into 0
15.785 * [backup-simplify]: Simplify 0 into 0
15.786 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0
15.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.792 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)) (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
15.792 * [backup-simplify]: Simplify (+ 0 +nan.0) into (- +nan.0)
15.794 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0
15.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.799 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)) (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
15.800 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
15.800 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
15.820 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* (- (sqrt 1.0) +nan.0) (- +nan.0)) (+ (* (- +nan.0) (- +nan.0)) (+ (* (- +nan.0) (- +nan.0)) (+ (* (- +nan.0) (- (sqrt 1.0) +nan.0)) (* (- +nan.0) 0)))))) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))
15.822 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
15.839 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (* 2.0 PI) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (* 2.0 PI) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (* 2.0 PI) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* 2.0 PI) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (* 2.0 PI) 1)))) 120) into 0
15.846 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow n 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow n 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow n 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow n 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow n 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow n 1)))) 120) into 0
15.847 * [backup-simplify]: Simplify (- 0) into 0
15.847 * [backup-simplify]: Simplify (+ 0 0) into 0
15.853 * [backup-simplify]: Simplify (+ (* (- (log (* 2.0 PI)) (log n)) (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))) (+ (* 0 (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))) (+ (* 0 (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))) (+ (* 0 (- (pow (sqrt 1.0) 2) (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))) (+ (* 0 0) (* 0 0)))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))
15.880 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (+ (* 0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (+ (* 0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (+ (* 0 (- (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2)) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* (pow (sqrt 1.0) 2) (log n)) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (log n)))))))))) (+ (* 0 0) (* 0 0)))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))
15.918 * [backup-simplify]: Simplify (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (log n)))))))))) (+ (* (/ (pow (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))) 3) 6)) (* (/ (pow (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))) 1) 1) (/ (pow (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))) 1) 1)) (* (/ (pow (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))) 1) 1)))) into (* -1 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (+ (* +nan.0 (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 2) (log n)))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (log n))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (log n))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (* (pow (sqrt 1.0) 3) (log n)))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (log n) 2))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 3) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (* (pow (sqrt 1.0) 2) (log n)))) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (pow (log n) 3))) (- (+ (* +nan.0 (* (sqrt 1.0) (pow (log n) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 3) (pow (log n) 2)))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (* (sqrt 1.0) (log n)))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (sqrt 1.0) (pow (log n) 2)))) (- (+ (* +nan.0 (* (sqrt 1.0) (pow (log n) 3))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n)))) (- (+ (* +nan.0 (pow (log n) 3)) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 3) (pow (log n) 3))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 3) (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (pow (log n) 2))) (- (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 3) (sqrt 1.0))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 2) (pow (log n) 2)))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (pow (log (* 2.0 PI)) 2)) (- (* +nan.0 (pow (log (* 2.0 PI)) 3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
15.922 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
16.135 * [backup-simplify]: Simplify (+ (* 0 (* -1 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (+ (* +nan.0 (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 2) (log n)))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (log n))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (log n))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (* (pow (sqrt 1.0) 3) (log n)))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (log n) 2))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 3) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (* (pow (sqrt 1.0) 2) (log n)))) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (pow (log n) 3))) (- (+ (* +nan.0 (* (sqrt 1.0) (pow (log n) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 3) (pow (log n) 2)))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (* (sqrt 1.0) (log n)))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (sqrt 1.0) (pow (log n) 2)))) (- (+ (* +nan.0 (* (sqrt 1.0) (pow (log n) 3))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n)))) (- (+ (* +nan.0 (pow (log n) 3)) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 3) (pow (log n) 3))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 3) (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (pow (log n) 2))) (- (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 3) (sqrt 1.0))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 2) (pow (log n) 2)))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (pow (log (* 2.0 PI)) 2)) (- (* +nan.0 (pow (log (* 2.0 PI)) 3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (+ (* +nan.0 (* -1 (* (exp (- (* 0.5 (* (log (* 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(* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))))) (* +nan.0 (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))))))) into (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (* (log (* 2.0 PI)) (sqrt 1.0)))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (* (sqrt 1.0) (log n)))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 2) (log n))))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (* (log (* 2.0 PI)) (log n)))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (* (pow (sqrt 1.0) 2) (pow (log n) 2)))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* 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16.431 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (* (log (* 2.0 PI)) (sqrt 1.0)))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (* (sqrt 1.0) (log n)))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 2) (log n))))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 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PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (* (pow (sqrt 1.0) 2) (pow (log n) 2)))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (* (pow (log (* 2.0 PI)) 2) (pow (sqrt 1.0) 2)))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (* (log (* 2.0 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16.643 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (* (log (* 2.0 PI)) (sqrt 1.0)))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (* (sqrt 1.0) (log n)))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 2) (log n))))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow 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(/ 1 n)))))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ 1 n)))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (/ 1 n)))) (- (* +nan.0 (log (/ 1 n))))))))))) (* (log (* 2.0 PI)) (log (/ 1 n))))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ 1 n)))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (/ 1 n)))) (- (* +nan.0 (log (/ 1 n))))))))))) (pow (log (/ 1 n)) 2))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ 1 n)))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (/ 1 n)))) (- (* +nan.0 (log (/ 1 n))))))))))) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) 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(pow (sqrt 1.0) 2) (log (/ 1 n)))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (/ 1 n)))) (- (* +nan.0 (log (/ 1 n))))))))))) (log (/ 1 n)))) (- (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ 1 n)))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (/ 1 n)))) (- (* +nan.0 (log (/ 1 n))))))))))) (log (* 2.0 PI))))))))))))))))))))))))))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (+ (* +nan.0 (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ 1 n)))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (/ 1 n)))) (- (* +nan.0 (log (/ 1 n)))))))))))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ 1 n)))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (/ 1 n)))) (- (* +nan.0 (log (/ 1 n))))))))))) (* (sqrt 1.0) (log (/ 1 n))))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ 1 n)))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (/ 1 n)))) (- (* +nan.0 (log (/ 1 n))))))))))) (log (/ 1 n)))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ 1 n)))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (/ 1 n)))) (- (* +nan.0 (log (/ 1 n))))))))))) (* (log (* 2.0 PI)) (sqrt 1.0)))) (- (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ 1 n)))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (/ 1 n)))) (- (* +nan.0 (log (/ 1 n))))))))))) (log (* 2.0 PI))))))))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ 1 n)))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (/ 1 n)))) (- (* +nan.0 (log (/ 1 n))))))))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 2) (log (/ 1 n))))) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (pow (log (* 2.0 PI)) 2)) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (log (* 2.0 PI))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (* (log (* 2.0 PI)) (* (sqrt 1.0) (log (/ 1 n))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (* (log (* 2.0 PI)) (sqrt 1.0))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (pow (log (/ 1 n)) 2)) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (log (* 2.0 PI))) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0))) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (log (/ 1 n))) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (* (log (/ 1 n)) (sqrt 1.0))) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (* (pow (log (/ 1 n)) 2) (sqrt 1.0))) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (log (/ 1 n))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (* (pow (log (* 2.0 PI)) 2) (pow (sqrt 1.0) 2))) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (* (log (* 2.0 PI)) (sqrt 1.0))) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (* (log (/ 1 n)) (sqrt 1.0))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (* (log (* 2.0 PI)) (log (/ 1 n)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) k)) (- (+ (* +nan.0 (/ (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (pow k 3))) (- (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (* (pow (log (/ 1 n)) 2) (pow (sqrt 1.0) 2))) (pow k 3))))))))))))))))))))))))))))))))))))))))))
16.955 * [backup-simplify]: Simplify (/ (* 1.0 (pow (pow (* (* 2.0 PI) (/ 1 (- n))) (+ (sqrt 1.0) (sqrt (/ 1 (- k))))) (/ (- (sqrt 1.0) (sqrt (/ 1 (- k)))) 2.0))) (sqrt (/ 1 (- k)))) into (* 1.0 (/ (pow (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k))))) (sqrt (/ -1 k))))
16.955 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k))))) (sqrt (/ -1 k)))) in (n k) around 0
16.955 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k))))) (sqrt (/ -1 k)))) in k
16.955 * [taylor]: Taking taylor expansion of 1.0 in k
16.956 * [backup-simplify]: Simplify 1.0 into 1.0
16.956 * [taylor]: Taking taylor expansion of (/ (pow (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k))))) (sqrt (/ -1 k))) in k
16.956 * [taylor]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k))))) in k
16.956 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0)))))) in k
16.956 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))))) in k
16.956 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) in k
16.956 * [taylor]: Taking taylor expansion of 0.5 in k
16.956 * [backup-simplify]: Simplify 0.5 into 0.5
16.956 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ -1 k))) in k
16.956 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k
16.956 * [taylor]: Taking taylor expansion of 1.0 in k
16.956 * [backup-simplify]: Simplify 1.0 into 1.0
16.956 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
16.957 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
16.957 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
16.957 * [taylor]: Taking taylor expansion of (/ -1 k) in k
16.957 * [taylor]: Taking taylor expansion of -1 in k
16.957 * [backup-simplify]: Simplify -1 into -1
16.957 * [taylor]: Taking taylor expansion of k in k
16.957 * [backup-simplify]: Simplify 0 into 0
16.957 * [backup-simplify]: Simplify 1 into 1
16.957 * [backup-simplify]: Simplify (/ -1 1) into -1
16.958 * [backup-simplify]: Simplify (sqrt 0) into 0
16.959 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
16.959 * [taylor]: Taking taylor expansion of (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0)))) in k
16.959 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) in k
16.959 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n))))) in k
16.959 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n)))) in k
16.959 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in k
16.960 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
16.960 * [taylor]: Taking taylor expansion of (/ -1 k) in k
16.960 * [taylor]: Taking taylor expansion of -1 in k
16.960 * [backup-simplify]: Simplify -1 into -1
16.960 * [taylor]: Taking taylor expansion of k in k
16.960 * [backup-simplify]: Simplify 0 into 0
16.960 * [backup-simplify]: Simplify 1 into 1
16.960 * [backup-simplify]: Simplify (/ -1 1) into -1
16.960 * [backup-simplify]: Simplify (sqrt 0) into 0
16.962 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
16.962 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k
16.962 * [taylor]: Taking taylor expansion of 1.0 in k
16.962 * [backup-simplify]: Simplify 1.0 into 1.0
16.962 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
16.963 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
16.963 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k
16.963 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k
16.963 * [taylor]: Taking taylor expansion of -2.0 in k
16.963 * [backup-simplify]: Simplify -2.0 into -2.0
16.963 * [taylor]: Taking taylor expansion of (/ PI n) in k
16.963 * [taylor]: Taking taylor expansion of PI in k
16.963 * [backup-simplify]: Simplify PI into PI
16.963 * [taylor]: Taking taylor expansion of n in k
16.963 * [backup-simplify]: Simplify n into n
16.963 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
16.963 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n))
16.964 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n)))
16.964 * [backup-simplify]: Simplify (+ 0 0) into 0
16.964 * [backup-simplify]: Simplify (* 0 (log (* -2.0 (/ PI n)))) into 0
16.964 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0
16.965 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 (/ PI n))) into 0
16.966 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 (/ PI n)) 1)))) 1) into 0
16.966 * [backup-simplify]: Simplify (+ +nan.0 (sqrt 1.0)) into (- (sqrt 1.0) +nan.0)
16.968 * [backup-simplify]: Simplify (+ (* 0 0) (* (- (sqrt 1.0) +nan.0) (log (* -2.0 (/ PI n))))) into (- (* (sqrt 1.0) (log (* -2.0 (/ PI n)))) (* +nan.0 (log (* -2.0 (/ PI n)))))
16.968 * [backup-simplify]: Simplify (exp (- (* (sqrt 1.0) (log (* -2.0 (/ PI n)))) (* +nan.0 (log (* -2.0 (/ PI n)))))) into (exp (- (* (sqrt 1.0) (log (* -2.0 (/ PI n)))) (* +nan.0 (log (* -2.0 (/ PI n))))))
16.969 * [backup-simplify]: Simplify (log (exp (- (* (sqrt 1.0) (log (* -2.0 (/ PI n)))) (* +nan.0 (log (* -2.0 (/ PI n))))))) into (- (* (sqrt 1.0) (log (* -2.0 (/ PI n)))) (* +nan.0 (log (* -2.0 (/ PI n)))))
16.970 * [backup-simplify]: Simplify (- 0) into 0
16.970 * [backup-simplify]: Simplify (+ 0 0) into 0
16.970 * [backup-simplify]: Simplify (* 0.5 0) into 0
16.971 * [backup-simplify]: Simplify (* 0 (- (* (sqrt 1.0) (log (* -2.0 (/ PI n)))) (* +nan.0 (log (* -2.0 (/ PI n)))))) into 0
16.971 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
16.972 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 (/ PI n)))) into 0
16.974 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 (/ PI n)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 (/ PI n)) 1)))) 2) into 0
16.975 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
16.978 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
16.978 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
16.980 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- (sqrt 1.0) +nan.0) 0) (* (- +nan.0) (log (* -2.0 (/ PI n)))))) into (- (* +nan.0 (log (* -2.0 (/ PI n)))))
16.981 * [backup-simplify]: Simplify (* (exp (- (* (sqrt 1.0) (log (* -2.0 (/ PI n)))) (* +nan.0 (log (* -2.0 (/ PI n)))))) (+ (* (/ (pow (- (* +nan.0 (log (* -2.0 (/ PI n))))) 1) 1)))) into (* +nan.0 (* (exp (- (* (sqrt 1.0) (log (* -2.0 (/ PI n)))) (* +nan.0 (log (* -2.0 (/ PI n)))))) (log (* -2.0 (/ PI n)))))
16.983 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* +nan.0 (* (exp (- (* (sqrt 1.0) (log (* -2.0 (/ PI n)))) (* +nan.0 (log (* -2.0 (/ PI n)))))) (log (* -2.0 (/ PI n)))))) 1)) (pow (exp (- (* (sqrt 1.0) (log (* -2.0 (/ PI n)))) (* +nan.0 (log (* -2.0 (/ PI n)))))) 1)))) 1) into (* +nan.0 (log (* -2.0 (/ PI n))))
16.983 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
16.985 * [backup-simplify]: Simplify (+ (sqrt 1.0) (- +nan.0)) into (- (sqrt 1.0) +nan.0)
16.987 * [backup-simplify]: Simplify (+ (* 0.5 (- (sqrt 1.0) +nan.0)) (* 0 0)) into (- (* 0.5 (sqrt 1.0)) +nan.0)
16.990 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (log (* -2.0 (/ PI n))))) (* (- (* 0.5 (sqrt 1.0)) +nan.0) (- (* (sqrt 1.0) (log (* -2.0 (/ PI n)))) (* +nan.0 (log (* -2.0 (/ PI n))))))) into (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 (/ PI n))))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 (/ PI n))))) (- (* +nan.0 (log (* -2.0 (/ PI n)))))))
16.992 * [backup-simplify]: Simplify (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 (/ PI n))))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 (/ PI n))))) (- (* +nan.0 (log (* -2.0 (/ PI n)))))))) into (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 (/ PI n))))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 (/ PI n))))) (- (* +nan.0 (log (* -2.0 (/ PI n))))))))
16.992 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
16.992 * [taylor]: Taking taylor expansion of (/ -1 k) in k
16.992 * [taylor]: Taking taylor expansion of -1 in k
16.992 * [backup-simplify]: Simplify -1 into -1
16.992 * [taylor]: Taking taylor expansion of k in k
16.992 * [backup-simplify]: Simplify 0 into 0
16.992 * [backup-simplify]: Simplify 1 into 1
16.992 * [backup-simplify]: Simplify (/ -1 1) into -1
16.993 * [backup-simplify]: Simplify (sqrt 0) into 0
16.994 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
16.996 * [backup-simplify]: Simplify (/ (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 (/ PI n))))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 (/ PI n))))) (- (* +nan.0 (log (* -2.0 (/ PI n)))))))) +nan.0) into (* +nan.0 (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 (/ PI n))))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 (/ PI n))))) (- (* +nan.0 (log (* -2.0 (/ PI n)))))))))
16.996 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k))))) (sqrt (/ -1 k)))) in n
16.996 * [taylor]: Taking taylor expansion of 1.0 in n
16.996 * [backup-simplify]: Simplify 1.0 into 1.0
16.996 * [taylor]: Taking taylor expansion of (/ (pow (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k))))) (sqrt (/ -1 k))) in n
16.996 * [taylor]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k))))) in n
16.996 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0)))))) in n
16.996 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))))) in n
16.996 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) in n
16.996 * [taylor]: Taking taylor expansion of 0.5 in n
16.996 * [backup-simplify]: Simplify 0.5 into 0.5
16.996 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ -1 k))) in n
16.996 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n
16.996 * [taylor]: Taking taylor expansion of 1.0 in n
16.996 * [backup-simplify]: Simplify 1.0 into 1.0
16.997 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
16.997 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
16.997 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
16.997 * [taylor]: Taking taylor expansion of (/ -1 k) in n
16.997 * [taylor]: Taking taylor expansion of -1 in n
16.998 * [backup-simplify]: Simplify -1 into -1
16.998 * [taylor]: Taking taylor expansion of k in n
16.998 * [backup-simplify]: Simplify k into k
16.998 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
16.998 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
16.998 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
16.998 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
16.998 * [taylor]: Taking taylor expansion of (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0)))) in n
16.998 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) in n
16.998 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n))))) in n
16.998 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n)))) in n
16.998 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in n
16.998 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
16.998 * [taylor]: Taking taylor expansion of (/ -1 k) in n
16.998 * [taylor]: Taking taylor expansion of -1 in n
16.998 * [backup-simplify]: Simplify -1 into -1
16.998 * [taylor]: Taking taylor expansion of k in n
16.998 * [backup-simplify]: Simplify k into k
16.998 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
16.998 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
16.999 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
16.999 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
16.999 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n
16.999 * [taylor]: Taking taylor expansion of 1.0 in n
16.999 * [backup-simplify]: Simplify 1.0 into 1.0
16.999 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
17.000 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
17.000 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n
17.000 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n
17.000 * [taylor]: Taking taylor expansion of -2.0 in n
17.000 * [backup-simplify]: Simplify -2.0 into -2.0
17.000 * [taylor]: Taking taylor expansion of (/ PI n) in n
17.000 * [taylor]: Taking taylor expansion of PI in n
17.000 * [backup-simplify]: Simplify PI into PI
17.000 * [taylor]: Taking taylor expansion of n in n
17.000 * [backup-simplify]: Simplify 0 into 0
17.000 * [backup-simplify]: Simplify 1 into 1
17.001 * [backup-simplify]: Simplify (/ PI 1) into PI
17.001 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
17.002 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI))
17.003 * [backup-simplify]: Simplify (+ (sqrt (/ -1 k)) (sqrt 1.0)) into (+ (sqrt (/ -1 k)) (sqrt 1.0))
17.004 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
17.006 * [backup-simplify]: Simplify (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n))) into (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))
17.007 * [backup-simplify]: Simplify (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))) into (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n))))
17.009 * [backup-simplify]: Simplify (log (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n))))) into (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))
17.009 * [backup-simplify]: Simplify (- (sqrt (/ -1 k))) into (- (sqrt (/ -1 k)))
17.010 * [backup-simplify]: Simplify (+ (sqrt 1.0) (- (sqrt (/ -1 k)))) into (- (sqrt 1.0) (sqrt (/ -1 k)))
17.010 * [backup-simplify]: Simplify (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) into (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k))))
17.012 * [backup-simplify]: Simplify (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))) into (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k))))))
17.015 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k))))))) into (exp (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k)))))))
17.015 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
17.015 * [taylor]: Taking taylor expansion of (/ -1 k) in n
17.015 * [taylor]: Taking taylor expansion of -1 in n
17.015 * [backup-simplify]: Simplify -1 into -1
17.015 * [taylor]: Taking taylor expansion of k in n
17.015 * [backup-simplify]: Simplify k into k
17.015 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
17.015 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
17.015 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
17.015 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
17.017 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k))))))) (sqrt (/ -1 k))) into (/ (exp (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k))))))) (sqrt (/ -1 k)))
17.018 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k))))) (sqrt (/ -1 k)))) in n
17.018 * [taylor]: Taking taylor expansion of 1.0 in n
17.018 * [backup-simplify]: Simplify 1.0 into 1.0
17.018 * [taylor]: Taking taylor expansion of (/ (pow (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k))))) (sqrt (/ -1 k))) in n
17.018 * [taylor]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k))))) in n
17.018 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0)))))) in n
17.018 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))))) in n
17.018 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) in n
17.018 * [taylor]: Taking taylor expansion of 0.5 in n
17.018 * [backup-simplify]: Simplify 0.5 into 0.5
17.018 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ -1 k))) in n
17.018 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n
17.018 * [taylor]: Taking taylor expansion of 1.0 in n
17.018 * [backup-simplify]: Simplify 1.0 into 1.0
17.018 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
17.019 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
17.019 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
17.019 * [taylor]: Taking taylor expansion of (/ -1 k) in n
17.019 * [taylor]: Taking taylor expansion of -1 in n
17.019 * [backup-simplify]: Simplify -1 into -1
17.019 * [taylor]: Taking taylor expansion of k in n
17.019 * [backup-simplify]: Simplify k into k
17.019 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
17.019 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
17.019 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
17.020 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
17.020 * [taylor]: Taking taylor expansion of (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0)))) in n
17.020 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) in n
17.020 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n))))) in n
17.020 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n)))) in n
17.020 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in n
17.020 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
17.020 * [taylor]: Taking taylor expansion of (/ -1 k) in n
17.020 * [taylor]: Taking taylor expansion of -1 in n
17.020 * [backup-simplify]: Simplify -1 into -1
17.020 * [taylor]: Taking taylor expansion of k in n
17.020 * [backup-simplify]: Simplify k into k
17.020 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
17.020 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
17.020 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
17.020 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
17.020 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n
17.020 * [taylor]: Taking taylor expansion of 1.0 in n
17.020 * [backup-simplify]: Simplify 1.0 into 1.0
17.021 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
17.022 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
17.022 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n
17.022 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n
17.022 * [taylor]: Taking taylor expansion of -2.0 in n
17.022 * [backup-simplify]: Simplify -2.0 into -2.0
17.022 * [taylor]: Taking taylor expansion of (/ PI n) in n
17.022 * [taylor]: Taking taylor expansion of PI in n
17.022 * [backup-simplify]: Simplify PI into PI
17.022 * [taylor]: Taking taylor expansion of n in n
17.022 * [backup-simplify]: Simplify 0 into 0
17.022 * [backup-simplify]: Simplify 1 into 1
17.022 * [backup-simplify]: Simplify (/ PI 1) into PI
17.023 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
17.024 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI))
17.024 * [backup-simplify]: Simplify (+ (sqrt (/ -1 k)) (sqrt 1.0)) into (+ (sqrt (/ -1 k)) (sqrt 1.0))
17.036 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
17.039 * [backup-simplify]: Simplify (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n))) into (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))
17.041 * [backup-simplify]: Simplify (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))) into (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n))))
17.043 * [backup-simplify]: Simplify (log (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n))))) into (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))
17.043 * [backup-simplify]: Simplify (- (sqrt (/ -1 k))) into (- (sqrt (/ -1 k)))
17.044 * [backup-simplify]: Simplify (+ (sqrt 1.0) (- (sqrt (/ -1 k)))) into (- (sqrt 1.0) (sqrt (/ -1 k)))
17.045 * [backup-simplify]: Simplify (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) into (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k))))
17.047 * [backup-simplify]: Simplify (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))) into (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k))))))
17.049 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k))))))) into (exp (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k)))))))
17.049 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
17.049 * [taylor]: Taking taylor expansion of (/ -1 k) in n
17.049 * [taylor]: Taking taylor expansion of -1 in n
17.049 * [backup-simplify]: Simplify -1 into -1
17.049 * [taylor]: Taking taylor expansion of k in n
17.049 * [backup-simplify]: Simplify k into k
17.049 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
17.049 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
17.049 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
17.049 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
17.051 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k))))))) (sqrt (/ -1 k))) into (/ (exp (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k))))))) (sqrt (/ -1 k)))
17.054 * [backup-simplify]: Simplify (* 1.0 (/ (exp (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k))))))) (sqrt (/ -1 k)))) into (* 1.0 (/ (exp (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k))))))) (sqrt (/ -1 k))))
17.054 * [taylor]: Taking taylor expansion of (* 1.0 (/ (exp (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k))))))) (sqrt (/ -1 k)))) in k
17.054 * [taylor]: Taking taylor expansion of 1.0 in k
17.054 * [backup-simplify]: Simplify 1.0 into 1.0
17.054 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k))))))) (sqrt (/ -1 k))) in k
17.054 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k))))))) in k
17.054 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k)))))) in k
17.054 * [taylor]: Taking taylor expansion of 0.5 in k
17.054 * [backup-simplify]: Simplify 0.5 into 0.5
17.054 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k))))) in k
17.054 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in k
17.054 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
17.054 * [taylor]: Taking taylor expansion of (/ -1 k) in k
17.054 * [taylor]: Taking taylor expansion of -1 in k
17.054 * [backup-simplify]: Simplify -1 into -1
17.054 * [taylor]: Taking taylor expansion of k in k
17.054 * [backup-simplify]: Simplify 0 into 0
17.054 * [backup-simplify]: Simplify 1 into 1
17.054 * [backup-simplify]: Simplify (/ -1 1) into -1
17.055 * [backup-simplify]: Simplify (sqrt 0) into 0
17.056 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
17.056 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k
17.056 * [taylor]: Taking taylor expansion of 1.0 in k
17.056 * [backup-simplify]: Simplify 1.0 into 1.0
17.057 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
17.057 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
17.057 * [taylor]: Taking taylor expansion of (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k)))) in k
17.057 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k
17.057 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k
17.057 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k
17.057 * [taylor]: Taking taylor expansion of -2.0 in k
17.057 * [backup-simplify]: Simplify -2.0 into -2.0
17.057 * [taylor]: Taking taylor expansion of PI in k
17.058 * [backup-simplify]: Simplify PI into PI
17.058 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
17.059 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI))
17.059 * [taylor]: Taking taylor expansion of (log n) in k
17.059 * [taylor]: Taking taylor expansion of n in k
17.059 * [backup-simplify]: Simplify n into n
17.059 * [backup-simplify]: Simplify (log n) into (log n)
17.059 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ -1 k))) in k
17.059 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k
17.059 * [taylor]: Taking taylor expansion of 1.0 in k
17.059 * [backup-simplify]: Simplify 1.0 into 1.0
17.060 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
17.060 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
17.060 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
17.060 * [taylor]: Taking taylor expansion of (/ -1 k) in k
17.060 * [taylor]: Taking taylor expansion of -1 in k
17.060 * [backup-simplify]: Simplify -1 into -1
17.060 * [taylor]: Taking taylor expansion of k in k
17.060 * [backup-simplify]: Simplify 0 into 0
17.060 * [backup-simplify]: Simplify 1 into 1
17.061 * [backup-simplify]: Simplify (/ -1 1) into -1
17.061 * [backup-simplify]: Simplify (sqrt 0) into 0
17.062 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
17.063 * [backup-simplify]: Simplify (+ 0 0) into 0
17.063 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
17.064 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n))
17.064 * [backup-simplify]: Simplify (- 0) into 0
17.064 * [backup-simplify]: Simplify (+ 0 0) into 0
17.065 * [backup-simplify]: Simplify (* (- (log (* -2.0 PI)) (log n)) 0) into 0
17.066 * [backup-simplify]: Simplify (* 0 0) into 0
17.066 * [backup-simplify]: Simplify (* 0.5 0) into 0
17.067 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
17.068 * [backup-simplify]: Simplify (+ (sqrt 1.0) (- +nan.0)) into (- (sqrt 1.0) +nan.0)
17.068 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0
17.070 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0
17.071 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
17.071 * [backup-simplify]: Simplify (- 0) into 0
17.072 * [backup-simplify]: Simplify (+ 0 0) into 0
17.074 * [backup-simplify]: Simplify (+ (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) +nan.0)) (* 0 0)) into (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log n)) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))))
17.075 * [backup-simplify]: Simplify (+ +nan.0 (sqrt 1.0)) into (- (sqrt 1.0) +nan.0)
17.081 * [backup-simplify]: Simplify (+ (* 0 (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log n)) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))))) (* (- (sqrt 1.0) +nan.0) 0)) into 0
17.082 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 0)) into 0
17.083 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
17.085 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
17.086 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
17.087 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
17.088 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0
17.091 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0
17.093 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
17.093 * [backup-simplify]: Simplify (- 0) into 0
17.094 * [backup-simplify]: Simplify (+ 0 0) into 0
17.096 * [backup-simplify]: Simplify (+ (* (- (log (* -2.0 PI)) (log n)) (- +nan.0)) (+ (* 0 (- (sqrt 1.0) +nan.0)) (* 0 0))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))
17.097 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
17.100 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
17.100 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
17.109 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))) (+ (* (- (sqrt 1.0) +nan.0) (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log n)) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))))) (* (- +nan.0) 0))) into (- (* (pow (sqrt 1.0) 2) (log (* -2.0 PI))) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* (pow (sqrt 1.0) 2) (log n)) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* +nan.0 (log n)))))))))
17.120 * [backup-simplify]: Simplify (+ (* 0.5 (- (* (pow (sqrt 1.0) 2) (log (* -2.0 PI))) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* (pow (sqrt 1.0) 2) (log n)) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* +nan.0 (log n)))))))))) (+ (* 0 0) (* 0 0))) into (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* +nan.0 (log n)))))))))
17.132 * [backup-simplify]: Simplify (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* +nan.0 (log n)))))))))) into (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))))
17.132 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
17.132 * [taylor]: Taking taylor expansion of (/ -1 k) in k
17.132 * [taylor]: Taking taylor expansion of -1 in k
17.132 * [backup-simplify]: Simplify -1 into -1
17.132 * [taylor]: Taking taylor expansion of k in k
17.132 * [backup-simplify]: Simplify 0 into 0
17.132 * [backup-simplify]: Simplify 1 into 1
17.132 * [backup-simplify]: Simplify (/ -1 1) into -1
17.133 * [backup-simplify]: Simplify (sqrt 0) into 0
17.134 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
17.145 * [backup-simplify]: Simplify (/ (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) +nan.0) into (* +nan.0 (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))))
17.156 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))))) into (* +nan.0 (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))))
17.167 * [backup-simplify]: Simplify (* +nan.0 (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))))) into (* +nan.0 (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))))
17.169 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
17.169 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0
17.171 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0
17.171 * [backup-simplify]: Simplify (+ 0 0) into 0
17.181 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
17.183 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0
17.185 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
17.187 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))) 1)))) 1) into 0
17.188 * [backup-simplify]: Simplify (- 0) into 0
17.188 * [backup-simplify]: Simplify (+ 0 0) into 0
17.189 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- (sqrt 1.0) (sqrt (/ -1 k))))) into 0
17.191 * [backup-simplify]: Simplify (+ (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) 0) (* 0 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n))))) into 0
17.194 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k))))))) (+ (* (/ (pow 0 1) 1)))) into 0
17.196 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k))))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0
17.199 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (/ (exp (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k))))))) (sqrt (/ -1 k))))) into 0
17.199 * [taylor]: Taking taylor expansion of 0 in k
17.199 * [backup-simplify]: Simplify 0 into 0
17.199 * [backup-simplify]: Simplify 0 into 0
17.200 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
17.201 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.206 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
17.206 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
17.207 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
17.208 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
17.214 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2.0 PI) 1)))) 6) into 0
17.218 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0
17.218 * [backup-simplify]: Simplify (- 0) into 0
17.219 * [backup-simplify]: Simplify (+ 0 0) into 0
17.222 * [backup-simplify]: Simplify (+ (* (- (log (* -2.0 PI)) (log n)) (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- (sqrt 1.0) +nan.0)) (* 0 0)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))
17.223 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.226 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
17.227 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
17.228 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
17.247 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))) (+ (* (- (sqrt 1.0) +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))) (+ (* (- +nan.0) (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log n)) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))))) (* (- +nan.0) 0)))) into (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))
17.264 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (+ (* 0 (- (* (pow (sqrt 1.0) 2) (log (* -2.0 PI))) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* (pow (sqrt 1.0) 2) (log n)) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* +nan.0 (log n)))))))))) (+ (* 0 0) (* 0 0)))) into (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))))))
17.282 * [backup-simplify]: Simplify (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* +nan.0 (log n)))))))))) (+ (* (/ (pow (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI)))))))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))))) (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))))))
17.283 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
17.286 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
17.316 * [backup-simplify]: Simplify (- (/ (* -1 (* (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))))) (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))))) +nan.0) (+ (* (* +nan.0 (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))))) (/ +nan.0 +nan.0)))) into (- (+ (* +nan.0 (* (sqrt 1.0) (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (log n)))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (log n))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (log (* -2.0 PI)))) (- (+ (* +nan.0 (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))))) (- (* +nan.0 (* (sqrt 1.0) (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (log (* -2.0 PI))))))))))))))
17.398 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (sqrt 1.0) (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (log n)))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (log n))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (log (* -2.0 PI)))) (- (+ (* +nan.0 (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))))) (- (* +nan.0 (* (sqrt 1.0) (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (log (* -2.0 PI))))))))))))))) (* 0 (* +nan.0 (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))))))) into (- (+ (* +nan.0 (* (sqrt 1.0) (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (log n)))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (log n))) (- (+ (* +nan.0 (* (sqrt 1.0) (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (log (* -2.0 PI))))) (- (+ (* +nan.0 (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))))) (- (* +nan.0 (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (log (* -2.0 PI)))))))))))))
17.467 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (sqrt 1.0) (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (log n)))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (log n))) (- (+ (* +nan.0 (* (sqrt 1.0) (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (log (* -2.0 PI))))) (- (+ (* +nan.0 (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))))) (- (* +nan.0 (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (log (* -2.0 PI))))))))))))) into (- (+ (* +nan.0 (* (sqrt 1.0) (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (log n)))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (log n))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (log (* -2.0 PI)))) (- (+ (* +nan.0 (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))))) (- (* +nan.0 (* (sqrt 1.0) (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (log (* -2.0 PI))))))))))))))
17.469 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.470 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0
17.474 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0
17.475 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
17.476 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
17.477 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
17.477 * [backup-simplify]: Simplify (+ 0 0) into 0
17.479 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
17.481 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0
17.483 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
17.489 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))) 1)))) 2) into 0
17.490 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
17.490 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
17.490 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
17.491 * [backup-simplify]: Simplify (- 0) into 0
17.491 * [backup-simplify]: Simplify (+ 0 0) into 0
17.492 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- (sqrt 1.0) (sqrt (/ -1 k)))))) into 0
17.495 * [backup-simplify]: Simplify (+ (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) 0) (+ (* 0 0) (* 0 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))))) into 0
17.498 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
17.498 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
17.499 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
17.501 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k))))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0
17.504 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (/ (exp (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k))))))) (sqrt (/ -1 k)))))) into 0
17.504 * [taylor]: Taking taylor expansion of 0 in k
17.504 * [backup-simplify]: Simplify 0 into 0
17.504 * [backup-simplify]: Simplify 0 into 0
17.504 * [backup-simplify]: Simplify 0 into 0
17.505 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0
17.506 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.510 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
17.511 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
17.512 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
17.513 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
17.523 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* -2.0 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* -2.0 PI) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* -2.0 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* -2.0 PI) 1)))) 24) into 0
17.528 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow n 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow n 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow n 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow n 1)))) 24) into 0
17.528 * [backup-simplify]: Simplify (- 0) into 0
17.529 * [backup-simplify]: Simplify (+ 0 0) into 0
17.532 * [backup-simplify]: Simplify (+ (* (- (log (* -2.0 PI)) (log n)) (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- (sqrt 1.0) +nan.0)) (* 0 0))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))
17.533 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.537 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
17.538 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0
17.538 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
17.554 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))) (+ (* (- (sqrt 1.0) +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))) (+ (* (- +nan.0) (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log n)) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))))) (* (- +nan.0) 0))))) into (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))
17.575 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (+ (* 0 (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (+ (* 0 (- (* (pow (sqrt 1.0) 2) (log (* -2.0 PI))) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* (pow (sqrt 1.0) 2) (log n)) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* +nan.0 (log n)))))))))) (+ (* 0 0) (* 0 0))))) into (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))))))
17.609 * [backup-simplify]: Simplify (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* +nan.0 (log n)))))))))) (+ (* (/ (pow (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI)))))))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI)))))))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (* (log n) (log (* -2.0 PI))))) (- (+ (* +nan.0 (* (sqrt 1.0) (* (log n) (log (* -2.0 PI))))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (+ (* +nan.0 (* (log n) (log (* -2.0 PI)))) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (pow (log n) 2))) (- (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log (* -2.0 PI)) 2)) (- (+ (* +nan.0 (* (sqrt 1.0) (pow (log n) 2))) (- (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (* (sqrt 1.0) (pow (log (* -2.0 PI)) 2))) (- (* +nan.0 (* (pow (sqrt 1.0) 2) (pow (log (* -2.0 PI)) 2))))))))))))))))))))))))))) (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))))))
17.610 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.614 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
17.755 * [backup-simplify]: Simplify (- (/ (* -1 (* (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (* (log n) (log (* -2.0 PI))))) (- (+ (* +nan.0 (* (sqrt 1.0) (* (log n) (log (* -2.0 PI))))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (+ (* +nan.0 (* (log n) (log (* -2.0 PI)))) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (pow (log n) 2))) (- (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log (* -2.0 PI)) 2)) (- (+ (* +nan.0 (* (sqrt 1.0) (pow (log n) 2))) (- (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (* (sqrt 1.0) (pow (log (* -2.0 PI)) 2))) (- (* +nan.0 (* (pow (sqrt 1.0) 2) (pow (log (* -2.0 PI)) 2))))))))))))))))))))))))))) (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))))) +nan.0) (+ (* (* +nan.0 (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))))) (/ +nan.0 +nan.0)) (* (- (+ (* +nan.0 (* (sqrt 1.0) (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (log n)))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (log n))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log 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18.055 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (sqrt 1.0) (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (pow (log n) 2)))) (- (+ (* +nan.0 (* (sqrt 1.0) (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (log n)))) (- (+ (* +nan.0 (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* 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18.264 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (sqrt 1.0) (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (pow (log n) 2)))) (- (+ (* +nan.0 (* (sqrt 1.0) (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (log n)))) (- (+ (* +nan.0 (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) 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n))))) (- (* +nan.0 (log (/ 1 (- n))))))))))))) (- (* +nan.0 (* (sqrt 1.0) (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ 1 (- n))))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (/ 1 (- n))))) (- (* +nan.0 (log (/ 1 (- n)))))))))))) (log (* -2.0 PI)))))))))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ 1 (- n))))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (/ 1 (- n))))) (- (* +nan.0 (log (/ 1 (- n))))))))))))))) into (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (pow (log (* -2.0 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (sqrt 1.0) (pow (log (/ -1 n)) 2))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (sqrt 1.0) (log (/ -1 n)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (log (* -2.0 PI))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (sqrt 1.0) (* (log (/ -1 n)) (log (* -2.0 PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (log (* -2.0 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (sqrt 1.0) (log (* -2.0 PI)))) k)) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (sqrt 1.0) (log (/ -1 n)))) k)) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (sqrt 1.0) (log (* -2.0 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (pow (sqrt 1.0) 2) (* (log (/ -1 n)) (log (* -2.0 PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (log (/ -1 n))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (log (/ -1 n))) k)) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (pow (sqrt 1.0) 2) (pow (log (* -2.0 PI)) 2))) (pow k 2))) (- (+ (* +nan.0 (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n))))))))))))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (pow (sqrt 1.0) 2) (pow (log (/ -1 n)) 2))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (sqrt 1.0) (pow (log (* -2.0 PI)) 2))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) k)) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (pow (log (/ -1 n)) 2)) (pow k 2))) (- (* +nan.0 (/ (* (log (* -2.0 PI)) (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (log (/ -1 n)))) (pow k 2))))))))))))))))))))))))))))))))))))))))))
18.575 * * * [progress]: simplifying candidates
18.588 * [simplify]: Simplifying:
  (expm1 (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))))
  (log1p (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))))
  (* (+ (+ (log 2.0) (log PI)) (log n)) (+ (sqrt 1.0) (sqrt k)))
  (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt k)))
  (* (log (* (* 2.0 PI) n)) (+ (sqrt 1.0) (sqrt k)))
  (* (log (* (* 2.0 PI) n)) (+ (sqrt 1.0) (sqrt k)))
  (* 1 (+ (sqrt 1.0) (sqrt k)))
  (* 1 (+ (sqrt 1.0) (sqrt k)))
  (* 1 (+ (sqrt 1.0) (sqrt k)))
  (pow (* (* 2.0 PI) n) (* (cbrt (+ (sqrt 1.0) (sqrt k))) (cbrt (+ (sqrt 1.0) (sqrt k)))))
  (pow (* (* 2.0 PI) n) (sqrt (+ (sqrt 1.0) (sqrt k))))
  (pow (* (* 2.0 PI) n) 1)
  (pow (* (* 2.0 PI) n) (sqrt 1))
  (pow (* (* 2.0 PI) n) 1)
  (pow (* (* 2.0 PI) n) (sqrt 1.0))
  (pow (* (* 2.0 PI) n) (sqrt k))
  (pow (* 2.0 PI) (+ (sqrt 1.0) (sqrt k)))
  (pow n (+ (sqrt 1.0) (sqrt k)))
  (log (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))))
  (exp (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))))
  (* (cbrt (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k)))) (cbrt (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k)))))
  (cbrt (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))))
  (* (* (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k)))) (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))))
  (sqrt (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))))
  (sqrt (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))))
  (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 2))
  (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 2))
  (expm1 (* (* 2.0 PI) n))
  (log1p (* (* 2.0 PI) n))
  (* (* 2.0 PI) n)
  (* (* 2.0 PI) n)
  (+ (+ (log 2.0) (log PI)) (log n))
  (+ (log (* 2.0 PI)) (log n))
  (log (* (* 2.0 PI) n))
  (exp (* (* 2.0 PI) n))
  (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n))
  (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n))
  (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n)))
  (cbrt (* (* 2.0 PI) n))
  (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n))
  (sqrt (* (* 2.0 PI) n))
  (sqrt (* (* 2.0 PI) n))
  (* (* 2.0 PI) (* (cbrt n) (cbrt n)))
  (* (* 2.0 PI) (sqrt n))
  (* (* 2.0 PI) 1)
  (* PI n)
  (expm1 (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)))
  (log1p (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)))
  (* (* (+ (+ (log 2.0) (log PI)) (log n)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))
  (* (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))
  (* (* (log (* (* 2.0 PI) n)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))
  (* (* (log (* (* 2.0 PI) n)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))
  (* (log (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k)))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))
  (* (log (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k)))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))
  (* (+ (sqrt 1.0) (sqrt k)) (/ (- (sqrt 1.0) (sqrt k)) 2.0))
  (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (sqrt 1.0) 2.0))
  (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (sqrt k) 2.0))
  (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (* (cbrt (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (cbrt (/ (- (sqrt 1.0) (sqrt k)) 2.0))))
  (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (sqrt (/ (- (sqrt 1.0) (sqrt k)) 2.0)))
  (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (* (cbrt (- (sqrt 1.0) (sqrt k))) (cbrt (- (sqrt 1.0) (sqrt k)))) (* (cbrt 2.0) (cbrt 2.0))))
  (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (* (cbrt (- (sqrt 1.0) (sqrt k))) (cbrt (- (sqrt 1.0) (sqrt k)))) (sqrt 2.0)))
  (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (* (cbrt (- (sqrt 1.0) (sqrt k))) (cbrt (- (sqrt 1.0) (sqrt k)))) 1))
  (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (sqrt (- (sqrt 1.0) (sqrt k))) (* (cbrt 2.0) (cbrt 2.0))))
  (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (sqrt (- (sqrt 1.0) (sqrt k))) (sqrt 2.0)))
  (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (sqrt (- (sqrt 1.0) (sqrt k))) 1))
  (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ 1 (* (cbrt 2.0) (cbrt 2.0))))
  (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ 1 (sqrt 2.0)))
  (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ 1 1))
  (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (* (cbrt 2.0) (cbrt 2.0))))
  (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (sqrt 2.0)))
  (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) 1))
  (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (* (cbrt 2.0) (cbrt 2.0))))
  (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (sqrt 2.0)))
  (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) 1))
  (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (* (cbrt 2.0) (cbrt 2.0))))
  (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (sqrt 2.0)))
  (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) 1))
  (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (* (cbrt 2.0) (cbrt 2.0))))
  (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (sqrt 2.0)))
  (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) 1))
  (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (sqrt 1) (* (cbrt 2.0) (cbrt 2.0))))
  (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (sqrt 1) (sqrt 2.0)))
  (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (sqrt 1) 1))
  (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ 1 (* (cbrt 2.0) (cbrt 2.0))))
  (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ 1 (sqrt 2.0)))
  (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ 1 1))
  (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) 1)
  (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (- (sqrt 1.0) (sqrt k)))
  (pow (pow (* (* 2.0 PI) n) (sqrt 1.0)) (/ (- (sqrt 1.0) (sqrt k)) 2.0))
  (pow (pow (* (* 2.0 PI) n) (sqrt k)) (/ (- (sqrt 1.0) (sqrt k)) 2.0))
  (pow (pow (* 2.0 PI) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))
  (pow (pow n (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))
  (pow (* (cbrt (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k)))) (cbrt (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))
  (pow (cbrt (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k)))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))
  (pow (sqrt (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k)))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))
  (pow (sqrt (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k)))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))
  (pow 1 (/ (- (sqrt 1.0) (sqrt k)) 2.0))
  (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))
  (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 2)) (/ (- (sqrt 1.0) (sqrt k)) 2.0))
  (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 2)) (/ (- (sqrt 1.0) (sqrt k)) 2.0))
  (log (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)))
  (exp (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)))
  (* (cbrt (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (cbrt (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))))
  (cbrt (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)))
  (* (* (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)))
  (sqrt (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)))
  (sqrt (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)))
  (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (/ (- (sqrt 1.0) (sqrt k)) 2.0) 2))
  (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (/ (- (sqrt 1.0) (sqrt k)) 2.0) 2))
  (expm1 (/ (* 1.0 (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (sqrt k)))
  (log1p (/ (* 1.0 (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (sqrt k)))
  (- (+ (log 1.0) (* (* (+ (+ (log 2.0) (log PI)) (log n)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (log (sqrt k)))
  (- (+ (log 1.0) (* (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (log (sqrt k)))
  (- (+ (log 1.0) (* (* (log (* (* 2.0 PI) n)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (log (sqrt k)))
  (- (+ (log 1.0) (* (* (log (* (* 2.0 PI) n)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (log (sqrt k)))
  (- (+ (log 1.0) (* (log (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k)))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (log (sqrt k)))
  (- (+ (log 1.0) (* (log (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k)))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (log (sqrt k)))
  (- (+ (log 1.0) (log (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)))) (log (sqrt k)))
  (- (log (* 1.0 (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)))) (log (sqrt k)))
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(exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (log (/ -1 n))) k)) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (pow (sqrt 1.0) 2) (pow (log (* -2.0 PI)) 2))) (pow k 2))) (- (+ (* +nan.0 (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n))))))))))))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (pow (sqrt 1.0) 2) (pow (log (/ -1 n)) 2))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (sqrt 1.0) (pow (log (* -2.0 PI)) 2))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) k)) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (pow (log (/ -1 n)) 2)) (pow k 2))) (- (* +nan.0 (/ (* (log (* -2.0 PI)) (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (log (/ -1 n)))) (pow k 2))))))))))))))))))))))))))))))))))))))))))
18.615 * * [simplify]: Extracting # 0 : cost  0
18.616 * * [simplify]: Extracting # 1 : cost  0
18.616 * * [simplify]: Extracting # 2 : cost  0
18.617 * * [simplify]: Extracting # 3 : cost  0
18.618 * * [simplify]: Extracting # 4 : cost  0
18.619 * * [simplify]: Extracting # 5 : cost  0
18.620 * * [simplify]: Extracting # 6 : cost  0
18.621 * * [simplify]: Extracting # 7 : cost  0
18.622 * * [simplify]: Extracting # 8 : cost  0
18.624 * * [simplify]: Extracting # 9 : cost  0
18.625 * * [simplify]: Extracting # 10 : cost  0
18.626 * * [simplify]: Extracting # 11 : cost  0
18.628 * * [simplify]: Extracting # 12 : cost  0
18.630 * * [simplify]: Extracting # 13 : cost  0
18.632 * * [simplify]: Extracting # 14 : cost  0
18.634 * * [simplify]: Extracting # 15 : cost  0
18.635 * * [simplify]: Extracting # 16 : cost  0
18.637 * * [simplify]: Extracting # 17 : cost  0
18.639 * * [simplify]: Extracting # 18 : cost  0
18.641 * * [simplify]: Extracting # 19 : cost  0
18.643 * * [simplify]: Extracting # 20 : cost  0
18.645 * * [simplify]: Extracting # 21 : cost  0
18.647 * * [simplify]: Extracting # 22 : cost  0
18.649 * * [simplify]: Extracting # 23 : cost  0
18.652 * * [simplify]: Extracting # 24 : cost  0
18.654 * * [simplify]: Extracting # 25 : cost  0
18.656 * * [simplify]: Extracting # 26 : cost  0
18.658 * * [simplify]: Extracting # 27 : cost  0
18.661 * * [simplify]: Extracting # 28 : cost  0
18.663 * * [simplify]: Extracting # 29 : cost  0
18.666 * * [simplify]: Extracting # 30 : cost  0
18.668 * * [simplify]: Extracting # 31 : cost  0
18.671 * * [simplify]: Extracting # 32 : cost  0
18.673 * * [simplify]: Extracting # 33 : cost  0
18.681 * * [simplify]: Extracting # 34 : cost  0
18.684 * * [simplify]: Extracting # 35 : cost  0
18.686 * * [simplify]: Extracting # 36 : cost  0
18.689 * * [simplify]: Extracting # 37 : cost  0
18.691 * * [simplify]: Extracting # 38 : cost  0
18.693 * * [simplify]: Extracting # 39 : cost  0
18.696 * * [simplify]: Extracting # 40 : cost  0
18.698 * * [simplify]: Extracting # 41 : cost  0
18.701 * * [simplify]: Extracting # 42 : cost  0
18.703 * * [simplify]: Extracting # 43 : cost  0
18.705 * * [simplify]: Extracting # 44 : cost  0
18.708 * * [simplify]: Extracting # 45 : cost  0
18.710 * * [simplify]: Extracting # 46 : cost  0
18.713 * * [simplify]: Extracting # 47 : cost  0
18.715 * * [simplify]: Extracting # 48 : cost  0
18.717 * * [simplify]: Extracting # 49 : cost  0
18.720 * * [simplify]: Extracting # 50 : cost  0
18.722 * * [simplify]: Extracting # 51 : cost  0
18.725 * * [simplify]: Extracting # 52 : cost  0
18.727 * * [simplify]: Extracting # 53 : cost  0
18.730 * * [simplify]: Extracting # 54 : cost  0
18.732 * * [simplify]: Extracting # 55 : cost  0
18.735 * * [simplify]: Extracting # 56 : cost  0
18.738 * * [simplify]: Extracting # 57 : cost  0
18.740 * * [simplify]: Extracting # 58 : cost  0
18.743 * * [simplify]: Extracting # 59 : cost  0
18.746 * * [simplify]: Extracting # 60 : cost  0
18.749 * * [simplify]: iteration  0 :  744  enodes  (cost  10181 )
19.101 * * [simplify]: Extracting # 0 : cost  0
19.107 * * [simplify]: Extracting # 1 : cost  0
19.114 * * [simplify]: Extracting # 2 : cost  0
19.121 * * [simplify]: Extracting # 3 : cost  0
19.128 * * [simplify]: Extracting # 4 : cost  0
19.135 * * [simplify]: Extracting # 5 : cost  0
19.142 * * [simplify]: Extracting # 6 : cost  0
19.154 * * [simplify]: Extracting # 7 : cost  0
19.161 * * [simplify]: Extracting # 8 : cost  0
19.168 * * [simplify]: Extracting # 9 : cost  0
19.175 * * [simplify]: Extracting # 10 : cost  0
19.181 * * [simplify]: Extracting # 11 : cost  0
19.190 * * [simplify]: Extracting # 12 : cost  0
19.200 * * [simplify]: Extracting # 13 : cost  0
19.207 * * [simplify]: Extracting # 14 : cost  0
19.214 * * [simplify]: Extracting # 15 : cost  0
19.222 * * [simplify]: Extracting # 16 : cost  0
19.228 * * [simplify]: iteration  1 :  2414  enodes  (cost  9441 )
20.093 * * [simplify]: Extracting # 0 : cost  0
20.106 * * [simplify]: Extracting # 1 : cost  0
20.121 * * [simplify]: Extracting # 2 : cost  0
20.136 * * [simplify]: Extracting # 3 : cost  0
20.159 * * [simplify]: Extracting # 4 : cost  0
20.174 * * [simplify]: Extracting # 5 : cost  0
20.189 * * [simplify]: Extracting # 6 : cost  0
20.204 * * [simplify]: Extracting # 7 : cost  0
20.221 * * [simplify]: Extracting # 8 : cost  0
20.242 * * [simplify]: Extracting # 9 : cost  0
20.258 * * [simplify]: Extracting # 10 : cost  0
20.273 * * [simplify]: Extracting # 11 : cost  0
20.288 * * [simplify]: Extracting # 12 : cost  0
20.302 * * [simplify]: Extracting # 13 : cost  0
20.316 * * [simplify]: iteration done:  5001  enodes  (cost  8674 )
20.320 * [simplify]: Simplified to:
  (expm1 (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))))
  (log1p (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))))
  (* (log (* 2.0 (* n PI))) (+ (sqrt 1.0) (sqrt k)))
  (* (log (* 2.0 (* n PI))) (+ (sqrt 1.0) (sqrt k)))
  (* (log (* 2.0 (* n PI))) (+ (sqrt 1.0) (sqrt k)))
  (* (log (* 2.0 (* n PI))) (+ (sqrt 1.0) (sqrt k)))
  (+ (sqrt 1.0) (sqrt k))
  (+ (sqrt 1.0) (sqrt k))
  (+ (sqrt 1.0) (sqrt k))
  (pow (* (* 2.0 PI) n) (* (cbrt (+ (sqrt 1.0) (sqrt k))) (cbrt (+ (sqrt 1.0) (sqrt k)))))
  (pow (* (* 2.0 PI) n) (sqrt (+ (sqrt 1.0) (sqrt k))))
  (* (* n PI) 2.0)
  (* (* n PI) 2.0)
  (* (* n PI) 2.0)
  (pow (* (* 2.0 PI) n) (sqrt 1.0))
  (pow (* (* 2.0 PI) n) (sqrt k))
  (pow (* 2.0 PI) (+ (sqrt 1.0) (sqrt k)))
  (pow n (+ (sqrt 1.0) (sqrt k)))
  (* (log (* 2.0 (* n PI))) (+ (sqrt 1.0) (sqrt k)))
  (exp (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))))
  (* (cbrt (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k)))) (cbrt (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k)))))
  (cbrt (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))))
  (pow (pow (* (* n PI) 2.0) (+ (sqrt 1.0) (sqrt k))) 3)
  (sqrt (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))))
  (sqrt (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))))
  (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 2))
  (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 2))
  (expm1 (* (* 2.0 PI) n))
  (log1p (* (* 2.0 PI) n))
  (* (* n PI) 2.0)
  (* (* n PI) 2.0)
  (log (* 2.0 (* n PI)))
  (log (* 2.0 (* n PI)))
  (log (* 2.0 (* n PI)))
  (exp (* (* 2.0 PI) n))
  (* (pow 2.0 3) (* (pow PI 3) (pow n 3)))
  (* (pow (* 2.0 PI) 3) (pow n 3))
  (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n)))
  (cbrt (* (* 2.0 PI) n))
  (pow (* (* n PI) 2.0) 3)
  (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)
  (* n PI)
  (expm1 (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)))
  (log1p (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)))
  (* (* (log (* 2.0 (* n PI))) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))
  (* (* (log (* 2.0 (* n PI))) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))
  (* (* (log (* 2.0 (* n PI))) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))
  (* (* (log (* 2.0 (* n PI))) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))
  (* (* (log (* 2.0 (* n PI))) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))
  (* (* (log (* 2.0 (* n PI))) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))
  (* (+ (sqrt 1.0) (sqrt k)) (/ (- (sqrt 1.0) (sqrt k)) 2.0))
  (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (sqrt 1.0) 2.0))
  (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (sqrt k) 2.0))
  (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (* (cbrt (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (cbrt (/ (- (sqrt 1.0) (sqrt k)) 2.0))))
  (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (sqrt (/ (- (sqrt 1.0) (sqrt k)) 2.0)))
  (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (* (cbrt (- (sqrt 1.0) (sqrt k))) (cbrt (- (sqrt 1.0) (sqrt k)))) (* (cbrt 2.0) (cbrt 2.0))))
  (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (* (cbrt (- (sqrt 1.0) (sqrt k))) (cbrt (- (sqrt 1.0) (sqrt k)))) (sqrt 2.0)))
  (pow (pow (* (* n PI) 2.0) (+ (sqrt 1.0) (sqrt k))) (* (cbrt (- (sqrt 1.0) (sqrt k))) (cbrt (- (sqrt 1.0) (sqrt k)))))
  (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (sqrt (- (sqrt 1.0) (sqrt k))) (* (cbrt 2.0) (cbrt 2.0))))
  (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (sqrt (- (sqrt 1.0) (sqrt k))) (sqrt 2.0)))
  (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (sqrt (- (sqrt 1.0) (sqrt k))))
  (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ 1 (* (cbrt 2.0) (cbrt 2.0))))
  (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ 1 (sqrt 2.0)))
  (pow (* (* n PI) 2.0) (+ (sqrt 1.0) (sqrt k)))
  (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (* (cbrt 2.0) (cbrt 2.0))))
  (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (sqrt 2.0)))
  (pow (pow (* (* n PI) 2.0) (+ (sqrt 1.0) (sqrt k))) (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))))
  (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (* (cbrt 2.0) (cbrt 2.0))))
  (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (sqrt 2.0)))
  (pow (pow (* (* n PI) 2.0) (+ (sqrt 1.0) (sqrt k))) (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))))
  (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (* (cbrt 2.0) (cbrt 2.0))))
  (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (sqrt 2.0)))
  (pow (pow (* (* n PI) 2.0) (+ (sqrt 1.0) (sqrt k))) (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))))
  (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (* (cbrt 2.0) (cbrt 2.0))))
  (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (sqrt 2.0)))
  (pow (pow (* (* n PI) 2.0) (+ (sqrt 1.0) (sqrt k))) (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))))
  (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ 1 (* (cbrt 2.0) (cbrt 2.0))))
  (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ 1 (sqrt 2.0)))
  (pow (* (* n PI) 2.0) (+ (sqrt 1.0) (sqrt k)))
  (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ 1 (* (cbrt 2.0) (cbrt 2.0))))
  (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ 1 (sqrt 2.0)))
  (pow (* (* n PI) 2.0) (+ (sqrt 1.0) (sqrt k)))
  (pow (* (* n PI) 2.0) (+ (sqrt 1.0) (sqrt k)))
  (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (- (sqrt 1.0) (sqrt k)))
  (pow (pow (* (* 2.0 PI) n) (sqrt 1.0)) (/ (- (sqrt 1.0) (sqrt k)) 2.0))
  (pow (pow (* (* 2.0 PI) n) (sqrt k)) (/ (- (sqrt 1.0) (sqrt k)) 2.0))
  (pow (pow (* 2.0 PI) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))
  (pow (pow n (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))
  (pow (* (cbrt (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k)))) (cbrt (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))
  (pow (cbrt (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k)))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))
  (pow (sqrt (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k)))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))
  (pow (sqrt (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k)))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))
  1
  (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))
  (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 2)) (/ (- (sqrt 1.0) (sqrt k)) 2.0))
  (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 2)) (/ (- (sqrt 1.0) (sqrt k)) 2.0))
  (* (* (log (* 2.0 (* n PI))) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))
  (exp (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)))
  (* (cbrt (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (cbrt (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))))
  (cbrt (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)))
  (pow (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) 3)
  (sqrt (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)))
  (sqrt (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)))
  (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (/ (- (sqrt 1.0) (sqrt k)) 2.0) 2))
  (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (/ (- (sqrt 1.0) (sqrt k)) 2.0) 2))
  (expm1 (/ (* 1.0 (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (sqrt k)))
  (log1p (/ (* 1.0 (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (sqrt k)))
  (log (/ (* 1.0 (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (sqrt k)))
  (log (/ (* 1.0 (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (sqrt k)))
  (log (/ (* 1.0 (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (sqrt k)))
  (log (/ (* 1.0 (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (sqrt k)))
  (log (/ (* 1.0 (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (sqrt k)))
  (log (/ (* 1.0 (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (sqrt k)))
  (log (/ (* 1.0 (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (sqrt k)))
  (log (/ (* 1.0 (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (sqrt k)))
  (log (/ (* 1.0 (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (sqrt k)))
  (exp (/ (* 1.0 (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (sqrt k)))
  (/ (pow 1.0 3) (/ (* (sqrt k) k) (pow (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) 3)))
  (/ (pow (* 1.0 (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) 3) (* (sqrt k) k))
  (* (cbrt (/ (* 1.0 (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (sqrt k))) (cbrt (/ (* 1.0 (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (sqrt k))))
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(- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n))))))))))))) k) (/ (* (pow (log (* -2.0 PI)) 2) 1.0) k)) +nan.0) (fma (exp (fma (* 1.0 (log (* -2.0 PI))) 0.5 (- (fma (* (sqrt 1.0) (log (* -2.0 PI))) +nan.0 (fma (* (log (/ -1 n)) 1.0) 0.5 (- (- (* +nan.0 (log (* -2.0 PI))) (fma +nan.0 (log (/ -1 n)) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n))))))))))))) +nan.0 (+ (- (* (/ +nan.0 k) (/ (* (* 1.0 (pow (log (/ -1 n)) 2)) (exp (fma (* 1.0 (log (* -2.0 PI))) 0.5 (- (fma (* (sqrt 1.0) (log (* -2.0 PI))) +nan.0 (fma (* (log (/ -1 n)) 1.0) 0.5 (- (- (* +nan.0 (log (* -2.0 PI))) (fma +nan.0 (log (/ -1 n)) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))))) k))) (- (* (/ (* (* (sqrt 1.0) (pow (log (* -2.0 PI)) 2)) (exp (fma (* 1.0 (log (* -2.0 PI))) 0.5 (- (fma (* (sqrt 1.0) (log (* -2.0 PI))) +nan.0 (fma (* (log (/ -1 n)) 1.0) 0.5 (- (- (* +nan.0 (log (* -2.0 PI))) (fma +nan.0 (log (/ -1 n)) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))))) (pow k 2)) +nan.0) (- (/ (* (exp (fma (* 1.0 (log (* -2.0 PI))) 0.5 (- (fma (* (sqrt 1.0) (log (* -2.0 PI))) +nan.0 (fma (* (log (/ -1 n)) 1.0) 0.5 (- (- (* +nan.0 (log (* -2.0 PI))) (fma +nan.0 (log (/ -1 n)) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n))))))))))))) +nan.0) k) (- (/ (* +nan.0 (* (pow (log (/ -1 n)) 2) (exp (fma (* 1.0 (log (* -2.0 PI))) 0.5 (- (fma (* (sqrt 1.0) (log (* -2.0 PI))) +nan.0 (fma (* (log (/ -1 n)) 1.0) 0.5 (- (- (* +nan.0 (log (* -2.0 PI))) (fma +nan.0 (log (/ -1 n)) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n))))))))))))))) (pow k 2)) (* (/ +nan.0 k) (/ (* (log (* -2.0 PI)) (* (exp (fma (* 1.0 (log (* -2.0 PI))) 0.5 (- (fma (* (sqrt 1.0) (log (* -2.0 PI))) +nan.0 (fma (* (log (/ -1 n)) 1.0) 0.5 (- (- (* +nan.0 (log (* -2.0 PI))) (fma +nan.0 (log (/ -1 n)) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n))))))))))))) (log (/ -1 n)))) k)))))))))))))))))))))))
20.325 * * * [progress]: adding candidates to table
21.712 * * [progress]: iteration 4 / 4
21.712 * * * [progress]: picking best candidate
21.770 * * * * [pick]: Picked  #<alt (λ (k n) (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))>
21.770 * * * [progress]: localizing error
21.815 * * * [progress]: generating rewritten candidates
21.815 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1)
21.847 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2)
21.870 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2)
21.914 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
21.978 * * * [progress]: generating series expansions
21.978 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1)
21.979 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI))
21.979 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0
21.979 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n
21.979 * [taylor]: Taking taylor expansion of 2.0 in n
21.979 * [backup-simplify]: Simplify 2.0 into 2.0
21.979 * [taylor]: Taking taylor expansion of (* n PI) in n
21.980 * [taylor]: Taking taylor expansion of n in n
21.980 * [backup-simplify]: Simplify 0 into 0
21.980 * [backup-simplify]: Simplify 1 into 1
21.980 * [taylor]: Taking taylor expansion of PI in n
21.980 * [backup-simplify]: Simplify PI into PI
21.980 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n
21.980 * [taylor]: Taking taylor expansion of 2.0 in n
21.980 * [backup-simplify]: Simplify 2.0 into 2.0
21.980 * [taylor]: Taking taylor expansion of (* n PI) in n
21.980 * [taylor]: Taking taylor expansion of n in n
21.980 * [backup-simplify]: Simplify 0 into 0
21.980 * [backup-simplify]: Simplify 1 into 1
21.980 * [taylor]: Taking taylor expansion of PI in n
21.980 * [backup-simplify]: Simplify PI into PI
21.980 * [backup-simplify]: Simplify (* 0 PI) into 0
21.981 * [backup-simplify]: Simplify (* 2.0 0) into 0
21.981 * [backup-simplify]: Simplify 0 into 0
21.982 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
21.984 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI)
21.984 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
21.986 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
21.986 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0
21.987 * [backup-simplify]: Simplify 0 into 0
21.988 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
21.989 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
21.989 * [backup-simplify]: Simplify 0 into 0
21.990 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
21.991 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
21.991 * [backup-simplify]: Simplify 0 into 0
21.993 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
21.994 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
21.994 * [backup-simplify]: Simplify 0 into 0
21.996 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
21.998 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
21.998 * [backup-simplify]: Simplify 0 into 0
22.000 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
22.002 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
22.002 * [backup-simplify]: Simplify 0 into 0
22.003 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI))
22.003 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n))
22.003 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0
22.003 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n
22.003 * [taylor]: Taking taylor expansion of 2.0 in n
22.003 * [backup-simplify]: Simplify 2.0 into 2.0
22.003 * [taylor]: Taking taylor expansion of (/ PI n) in n
22.003 * [taylor]: Taking taylor expansion of PI in n
22.003 * [backup-simplify]: Simplify PI into PI
22.003 * [taylor]: Taking taylor expansion of n in n
22.003 * [backup-simplify]: Simplify 0 into 0
22.003 * [backup-simplify]: Simplify 1 into 1
22.004 * [backup-simplify]: Simplify (/ PI 1) into PI
22.004 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n
22.004 * [taylor]: Taking taylor expansion of 2.0 in n
22.004 * [backup-simplify]: Simplify 2.0 into 2.0
22.004 * [taylor]: Taking taylor expansion of (/ PI n) in n
22.004 * [taylor]: Taking taylor expansion of PI in n
22.004 * [backup-simplify]: Simplify PI into PI
22.004 * [taylor]: Taking taylor expansion of n in n
22.004 * [backup-simplify]: Simplify 0 into 0
22.004 * [backup-simplify]: Simplify 1 into 1
22.005 * [backup-simplify]: Simplify (/ PI 1) into PI
22.005 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
22.006 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
22.006 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
22.007 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0
22.007 * [backup-simplify]: Simplify 0 into 0
22.008 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
22.009 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0
22.009 * [backup-simplify]: Simplify 0 into 0
22.010 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
22.011 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
22.011 * [backup-simplify]: Simplify 0 into 0
22.012 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
22.013 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
22.013 * [backup-simplify]: Simplify 0 into 0
22.015 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
22.016 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
22.017 * [backup-simplify]: Simplify 0 into 0
22.018 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
22.019 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
22.019 * [backup-simplify]: Simplify 0 into 0
22.020 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI))
22.020 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n))
22.020 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0
22.020 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n
22.020 * [taylor]: Taking taylor expansion of -2.0 in n
22.020 * [backup-simplify]: Simplify -2.0 into -2.0
22.020 * [taylor]: Taking taylor expansion of (/ PI n) in n
22.021 * [taylor]: Taking taylor expansion of PI in n
22.021 * [backup-simplify]: Simplify PI into PI
22.021 * [taylor]: Taking taylor expansion of n in n
22.021 * [backup-simplify]: Simplify 0 into 0
22.021 * [backup-simplify]: Simplify 1 into 1
22.029 * [backup-simplify]: Simplify (/ PI 1) into PI
22.029 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n
22.029 * [taylor]: Taking taylor expansion of -2.0 in n
22.029 * [backup-simplify]: Simplify -2.0 into -2.0
22.029 * [taylor]: Taking taylor expansion of (/ PI n) in n
22.029 * [taylor]: Taking taylor expansion of PI in n
22.029 * [backup-simplify]: Simplify PI into PI
22.029 * [taylor]: Taking taylor expansion of n in n
22.029 * [backup-simplify]: Simplify 0 into 0
22.029 * [backup-simplify]: Simplify 1 into 1
22.029 * [backup-simplify]: Simplify (/ PI 1) into PI
22.030 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
22.030 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
22.031 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
22.032 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0
22.032 * [backup-simplify]: Simplify 0 into 0
22.033 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
22.034 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0
22.034 * [backup-simplify]: Simplify 0 into 0
22.036 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
22.037 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
22.037 * [backup-simplify]: Simplify 0 into 0
22.038 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
22.040 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
22.040 * [backup-simplify]: Simplify 0 into 0
22.041 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
22.042 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
22.042 * [backup-simplify]: Simplify 0 into 0
22.044 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
22.045 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
22.045 * [backup-simplify]: Simplify 0 into 0
22.046 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI))
22.046 * * * * [progress]: [ 2 / 4 ] generating series at (2 2)
22.047 * [backup-simplify]: Simplify (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) into (* (sqrt k) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))))
22.047 * [approximate]: Taking taylor expansion of (* (sqrt k) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in (k n) around 0
22.047 * [taylor]: Taking taylor expansion of (* (sqrt k) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n
22.047 * [taylor]: Taking taylor expansion of (sqrt k) in n
22.047 * [taylor]: Taking taylor expansion of k in n
22.047 * [backup-simplify]: Simplify k into k
22.047 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
22.047 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
22.048 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n
22.048 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n
22.048 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n
22.048 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n
22.048 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n
22.048 * [taylor]: Taking taylor expansion of 0.5 in n
22.048 * [backup-simplify]: Simplify 0.5 into 0.5
22.048 * [taylor]: Taking taylor expansion of (- 1.0 k) in n
22.048 * [taylor]: Taking taylor expansion of 1.0 in n
22.048 * [backup-simplify]: Simplify 1.0 into 1.0
22.048 * [taylor]: Taking taylor expansion of k in n
22.048 * [backup-simplify]: Simplify k into k
22.048 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n
22.048 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n
22.048 * [taylor]: Taking taylor expansion of 2.0 in n
22.048 * [backup-simplify]: Simplify 2.0 into 2.0
22.048 * [taylor]: Taking taylor expansion of (* n PI) in n
22.048 * [taylor]: Taking taylor expansion of n in n
22.048 * [backup-simplify]: Simplify 0 into 0
22.048 * [backup-simplify]: Simplify 1 into 1
22.048 * [taylor]: Taking taylor expansion of PI in n
22.048 * [backup-simplify]: Simplify PI into PI
22.049 * [backup-simplify]: Simplify (* 0 PI) into 0
22.049 * [backup-simplify]: Simplify (* 2.0 0) into 0
22.050 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
22.052 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI)
22.053 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
22.053 * [backup-simplify]: Simplify (- k) into (- k)
22.053 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k)
22.053 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k))
22.055 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
22.056 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))
22.057 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))))
22.058 * [backup-simplify]: Simplify (/ 1 (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))))) into (/ 1 (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))))
22.058 * [taylor]: Taking taylor expansion of (* (sqrt k) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k
22.058 * [taylor]: Taking taylor expansion of (sqrt k) in k
22.058 * [taylor]: Taking taylor expansion of k in k
22.058 * [backup-simplify]: Simplify 0 into 0
22.058 * [backup-simplify]: Simplify 1 into 1
22.058 * [backup-simplify]: Simplify (sqrt 0) into 0
22.060 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
22.060 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k
22.060 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k
22.060 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k
22.060 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k
22.060 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k
22.060 * [taylor]: Taking taylor expansion of 0.5 in k
22.060 * [backup-simplify]: Simplify 0.5 into 0.5
22.060 * [taylor]: Taking taylor expansion of (- 1.0 k) in k
22.060 * [taylor]: Taking taylor expansion of 1.0 in k
22.060 * [backup-simplify]: Simplify 1.0 into 1.0
22.060 * [taylor]: Taking taylor expansion of k in k
22.060 * [backup-simplify]: Simplify 0 into 0
22.060 * [backup-simplify]: Simplify 1 into 1
22.060 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k
22.060 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k
22.060 * [taylor]: Taking taylor expansion of 2.0 in k
22.060 * [backup-simplify]: Simplify 2.0 into 2.0
22.060 * [taylor]: Taking taylor expansion of (* n PI) in k
22.060 * [taylor]: Taking taylor expansion of n in k
22.060 * [backup-simplify]: Simplify n into n
22.060 * [taylor]: Taking taylor expansion of PI in k
22.060 * [backup-simplify]: Simplify PI into PI
22.060 * [backup-simplify]: Simplify (* n PI) into (* n PI)
22.060 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI))
22.060 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI)))
22.061 * [backup-simplify]: Simplify (- 0) into 0
22.061 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
22.062 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5
22.062 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI))))
22.062 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5)
22.062 * [backup-simplify]: Simplify (/ 1 (pow (* 2.0 (* n PI)) 0.5)) into (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)
22.062 * [taylor]: Taking taylor expansion of (* (sqrt k) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k
22.062 * [taylor]: Taking taylor expansion of (sqrt k) in k
22.062 * [taylor]: Taking taylor expansion of k in k
22.062 * [backup-simplify]: Simplify 0 into 0
22.062 * [backup-simplify]: Simplify 1 into 1
22.063 * [backup-simplify]: Simplify (sqrt 0) into 0
22.064 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
22.064 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k
22.064 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k
22.064 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k
22.064 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k
22.064 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k
22.064 * [taylor]: Taking taylor expansion of 0.5 in k
22.064 * [backup-simplify]: Simplify 0.5 into 0.5
22.064 * [taylor]: Taking taylor expansion of (- 1.0 k) in k
22.064 * [taylor]: Taking taylor expansion of 1.0 in k
22.064 * [backup-simplify]: Simplify 1.0 into 1.0
22.064 * [taylor]: Taking taylor expansion of k in k
22.064 * [backup-simplify]: Simplify 0 into 0
22.064 * [backup-simplify]: Simplify 1 into 1
22.064 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k
22.064 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k
22.064 * [taylor]: Taking taylor expansion of 2.0 in k
22.064 * [backup-simplify]: Simplify 2.0 into 2.0
22.064 * [taylor]: Taking taylor expansion of (* n PI) in k
22.064 * [taylor]: Taking taylor expansion of n in k
22.064 * [backup-simplify]: Simplify n into n
22.064 * [taylor]: Taking taylor expansion of PI in k
22.064 * [backup-simplify]: Simplify PI into PI
22.064 * [backup-simplify]: Simplify (* n PI) into (* n PI)
22.065 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI))
22.065 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI)))
22.065 * [backup-simplify]: Simplify (- 0) into 0
22.066 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
22.066 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5
22.066 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI))))
22.067 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5)
22.067 * [backup-simplify]: Simplify (/ 1 (pow (* 2.0 (* n PI)) 0.5)) into (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)
22.068 * [backup-simplify]: Simplify (* 0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) into 0
22.068 * [taylor]: Taking taylor expansion of 0 in n
22.068 * [backup-simplify]: Simplify 0 into 0
22.068 * [backup-simplify]: Simplify 0 into 0
22.069 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0
22.069 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (* n PI))) into 0
22.070 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 1) into 0
22.071 * [backup-simplify]: Simplify (- 1) into -1
22.071 * [backup-simplify]: Simplify (+ 0 -1) into -1
22.072 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5)
22.073 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 (* n PI))))) into (- (* 0.5 (log (* 2.0 (* n PI)))))
22.074 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 1) 1)))) into (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))
22.077 * [backup-simplify]: Simplify (- (+ (* (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) (/ (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (pow (* 2.0 (* n PI)) 0.5))))) into (* 0.5 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (log (* 2.0 (* n PI)))))
22.080 * [backup-simplify]: Simplify (+ (* 0 (* 0.5 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (log (* 2.0 (* n PI)))))) (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) into (- (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))
22.080 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) in n
22.080 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) in n
22.080 * [taylor]: Taking taylor expansion of +nan.0 in n
22.080 * [backup-simplify]: Simplify +nan.0 into +nan.0
22.080 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) in n
22.080 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))))) in n
22.080 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n
22.080 * [taylor]: Taking taylor expansion of 0.5 in n
22.080 * [backup-simplify]: Simplify 0.5 into 0.5
22.080 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n
22.080 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n
22.080 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n
22.080 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n
22.080 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n
22.080 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n
22.080 * [taylor]: Taking taylor expansion of 1.0 in n
22.080 * [backup-simplify]: Simplify 1.0 into 1.0
22.080 * [taylor]: Taking taylor expansion of (log PI) in n
22.080 * [taylor]: Taking taylor expansion of PI in n
22.080 * [backup-simplify]: Simplify PI into PI
22.081 * [backup-simplify]: Simplify (log PI) into (log PI)
22.082 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI))
22.083 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0)
22.083 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n
22.083 * [taylor]: Taking taylor expansion of (pow n 1.0) in n
22.083 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n
22.083 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n
22.083 * [taylor]: Taking taylor expansion of 1.0 in n
22.083 * [backup-simplify]: Simplify 1.0 into 1.0
22.083 * [taylor]: Taking taylor expansion of (log n) in n
22.083 * [taylor]: Taking taylor expansion of n in n
22.083 * [backup-simplify]: Simplify 0 into 0
22.083 * [backup-simplify]: Simplify 1 into 1
22.084 * [backup-simplify]: Simplify (log 1) into 0
22.084 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
22.084 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n))
22.084 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0)
22.084 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n
22.084 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n
22.084 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n
22.084 * [taylor]: Taking taylor expansion of 1.0 in n
22.084 * [backup-simplify]: Simplify 1.0 into 1.0
22.084 * [taylor]: Taking taylor expansion of (log 2.0) in n
22.084 * [taylor]: Taking taylor expansion of 2.0 in n
22.084 * [backup-simplify]: Simplify 2.0 into 2.0
22.085 * [backup-simplify]: Simplify (log 2.0) into (log 2.0)
22.086 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0))
22.087 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0)
22.087 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)
22.089 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)
22.090 * [backup-simplify]: Simplify (/ 1 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0)
22.091 * [backup-simplify]: Simplify (log (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0)) into (log (pow (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1.0))
22.092 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1.0) 1.0)))
22.094 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1.0) 1.0) 1.0) 0.5)
22.095 * [backup-simplify]: Simplify (* +nan.0 (pow (pow (pow (pow (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))
22.097 * [backup-simplify]: Simplify (- (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) into (- (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))
22.098 * [backup-simplify]: Simplify (- (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) into (- (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))
22.098 * [backup-simplify]: Simplify 0 into 0
22.099 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0
22.100 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (* n PI)))) into 0
22.101 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 2) into 0
22.102 * [backup-simplify]: Simplify (- 0) into 0
22.102 * [backup-simplify]: Simplify (+ 0 0) into 0
22.103 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0
22.104 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 (* n PI)))))) into 0
22.105 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log (* 2.0 (* n PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))
22.111 * [backup-simplify]: Simplify (- (+ (* (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) (/ (* 0.125 (* (pow (log (* 2.0 (* n PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (pow (* 2.0 (* n PI)) 0.5))) (* (* 0.5 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (log (* 2.0 (* n PI))))) (/ (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (pow (* 2.0 (* n PI)) 0.5))))) into (- (* 0.25 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (* 0.125 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))
22.114 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
22.121 * [backup-simplify]: Simplify (+ (* 0 (- (* 0.25 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (* 0.125 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))) (+ (* +nan.0 (* 0.5 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (log (* 2.0 (* n PI)))))) (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))) into (- (+ (* +nan.0 (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)) (- (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))))
22.121 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)) (- (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))))) in n
22.121 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)) (- (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))) in n
22.121 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)) in n
22.121 * [taylor]: Taking taylor expansion of +nan.0 in n
22.121 * [backup-simplify]: Simplify +nan.0 into +nan.0
22.121 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5) in n
22.121 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))))) in n
22.121 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n
22.121 * [taylor]: Taking taylor expansion of 0.5 in n
22.121 * [backup-simplify]: Simplify 0.5 into 0.5
22.121 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n
22.121 * [taylor]: Taking taylor expansion of (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n
22.121 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n
22.121 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n
22.121 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n
22.121 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n
22.121 * [taylor]: Taking taylor expansion of 1.0 in n
22.121 * [backup-simplify]: Simplify 1.0 into 1.0
22.121 * [taylor]: Taking taylor expansion of (log 2.0) in n
22.121 * [taylor]: Taking taylor expansion of 2.0 in n
22.121 * [backup-simplify]: Simplify 2.0 into 2.0
22.122 * [backup-simplify]: Simplify (log 2.0) into (log 2.0)
22.123 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0))
22.124 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0)
22.124 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n
22.124 * [taylor]: Taking taylor expansion of (pow n 1.0) in n
22.124 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n
22.124 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n
22.124 * [taylor]: Taking taylor expansion of 1.0 in n
22.124 * [backup-simplify]: Simplify 1.0 into 1.0
22.124 * [taylor]: Taking taylor expansion of (log n) in n
22.124 * [taylor]: Taking taylor expansion of n in n
22.124 * [backup-simplify]: Simplify 0 into 0
22.124 * [backup-simplify]: Simplify 1 into 1
22.125 * [backup-simplify]: Simplify (log 1) into 0
22.125 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
22.125 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n))
22.125 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0)
22.125 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n
22.125 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n
22.125 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n
22.125 * [taylor]: Taking taylor expansion of 1.0 in n
22.125 * [backup-simplify]: Simplify 1.0 into 1.0
22.125 * [taylor]: Taking taylor expansion of (log PI) in n
22.125 * [taylor]: Taking taylor expansion of PI in n
22.125 * [backup-simplify]: Simplify PI into PI
22.126 * [backup-simplify]: Simplify (log PI) into (log PI)
22.127 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI))
22.129 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0)
22.130 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)
22.131 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)
22.132 * [backup-simplify]: Simplify (/ 1 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 1.0)
22.133 * [backup-simplify]: Simplify (log (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 1.0)) into (log (pow (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 1.0) 1.0))
22.135 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 1.0) 1.0) 1.0)))
22.136 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 1.0) 1.0) 1.0) 1.0) 0.5)
22.136 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))) in n
22.136 * [taylor]: Taking taylor expansion of (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) in n
22.136 * [taylor]: Taking taylor expansion of +nan.0 in n
22.136 * [backup-simplify]: Simplify +nan.0 into +nan.0
22.136 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) in n
22.136 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n
22.136 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n
22.137 * [taylor]: Taking taylor expansion of 2.0 in n
22.137 * [backup-simplify]: Simplify 2.0 into 2.0
22.137 * [taylor]: Taking taylor expansion of (* n PI) in n
22.137 * [taylor]: Taking taylor expansion of n in n
22.137 * [backup-simplify]: Simplify 0 into 0
22.137 * [backup-simplify]: Simplify 1 into 1
22.137 * [taylor]: Taking taylor expansion of PI in n
22.137 * [backup-simplify]: Simplify PI into PI
22.137 * [backup-simplify]: Simplify (* 0 PI) into 0
22.138 * [backup-simplify]: Simplify (* 2.0 0) into 0
22.142 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
22.145 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI)
22.146 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
22.146 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) in n
22.146 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))))) in n
22.146 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n
22.146 * [taylor]: Taking taylor expansion of 0.5 in n
22.147 * [backup-simplify]: Simplify 0.5 into 0.5
22.147 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n
22.147 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n
22.147 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n
22.147 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n
22.147 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n
22.147 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n
22.147 * [taylor]: Taking taylor expansion of 1.0 in n
22.147 * [backup-simplify]: Simplify 1.0 into 1.0
22.147 * [taylor]: Taking taylor expansion of (log PI) in n
22.147 * [taylor]: Taking taylor expansion of PI in n
22.147 * [backup-simplify]: Simplify PI into PI
22.148 * [backup-simplify]: Simplify (log PI) into (log PI)
22.149 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI))
22.151 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0)
22.151 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n
22.151 * [taylor]: Taking taylor expansion of (pow n 1.0) in n
22.151 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n
22.151 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n
22.151 * [taylor]: Taking taylor expansion of 1.0 in n
22.151 * [backup-simplify]: Simplify 1.0 into 1.0
22.151 * [taylor]: Taking taylor expansion of (log n) in n
22.151 * [taylor]: Taking taylor expansion of n in n
22.151 * [backup-simplify]: Simplify 0 into 0
22.151 * [backup-simplify]: Simplify 1 into 1
22.152 * [backup-simplify]: Simplify (log 1) into 0
22.152 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
22.152 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n))
22.152 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0)
22.152 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n
22.152 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n
22.152 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n
22.152 * [taylor]: Taking taylor expansion of 1.0 in n
22.153 * [backup-simplify]: Simplify 1.0 into 1.0
22.153 * [taylor]: Taking taylor expansion of (log 2.0) in n
22.153 * [taylor]: Taking taylor expansion of 2.0 in n
22.153 * [backup-simplify]: Simplify 2.0 into 2.0
22.153 * [backup-simplify]: Simplify (log 2.0) into (log 2.0)
22.154 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0))
22.156 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0)
22.157 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)
22.158 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)
22.159 * [backup-simplify]: Simplify (/ 1 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0)
22.161 * [backup-simplify]: Simplify (log (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0)) into (log (pow (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1.0))
22.162 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1.0) 1.0)))
22.163 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1.0) 1.0) 1.0) 0.5)
22.165 * [backup-simplify]: Simplify (* +nan.0 (pow (pow (pow (pow (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* +nan.0 (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))
22.166 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
22.169 * [backup-simplify]: Simplify (* (+ (log (* 2.0 PI)) (log n)) (pow (pow (pow (pow (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (+ (log (* 2.0 PI)) (log n)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))
22.171 * [backup-simplify]: Simplify (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) into (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))
22.174 * [backup-simplify]: Simplify (- (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (log n) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))))
22.179 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (log n) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)) (- (* +nan.0 (* (log n) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))))))
22.193 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)) (- (* +nan.0 (* (log n) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)) (- (* +nan.0 (* (log n) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))))))
22.199 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)) (- (* +nan.0 (* (log n) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) (- (* +nan.0 (* (log n) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))))))
22.201 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0
22.202 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0
22.203 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0
22.205 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
22.205 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
22.206 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0
22.206 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0
22.207 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0
22.208 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
22.209 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0
22.211 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
22.212 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0
22.215 * [backup-simplify]: Simplify (- (+ (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) (/ 0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0))))) into 0
22.217 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1)))) 1) into 0
22.219 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (log (pow (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1.0)))) into 0
22.221 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
22.223 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (pow (pow (pow (pow (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1.0) 1.0) 1.0) 0.5))) into 0
22.223 * [backup-simplify]: Simplify (- 0) into 0
22.223 * [backup-simplify]: Simplify 0 into 0
22.223 * [backup-simplify]: Simplify 0 into 0
22.224 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
22.225 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0
22.228 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 (* n PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 (* n PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 6) into 0
22.229 * [backup-simplify]: Simplify (- 0) into 0
22.229 * [backup-simplify]: Simplify (+ 0 0) into 0
22.231 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0
22.232 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 (* n PI))))))) into 0
22.234 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 3) 6)) (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (log (* 2.0 (* n PI))) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))
22.246 * [backup-simplify]: Simplify (- (+ (* (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) (/ (* -0.020833333333333332 (* (pow (log (* 2.0 (* n PI))) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (pow (* 2.0 (* n PI)) 0.5))) (* (* 0.5 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (log (* 2.0 (* n PI))))) (/ (* 0.125 (* (pow (log (* 2.0 (* n PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (pow (* 2.0 (* n PI)) 0.5))) (* (- (* 0.25 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (* 0.125 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))) (/ (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (pow (* 2.0 (* n PI)) 0.5))))) into (* 0.020833333333333332 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 3)))
22.250 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
22.259 * [backup-simplify]: Simplify (+ (* 0 (* 0.020833333333333332 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 3)))) (+ (* +nan.0 (- (* 0.25 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (* 0.125 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))) (+ (* +nan.0 (* 0.5 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (log (* 2.0 (* n PI)))))) (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))) into (- (+ (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) (- (+ (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) (- (+ (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))))))))
22.259 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) (- (+ (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) (- (+ (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))))))))) in n
22.259 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) (- (+ (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) (- (+ (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))))))) in n
22.259 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) in n
22.259 * [taylor]: Taking taylor expansion of +nan.0 in n
22.259 * [backup-simplify]: Simplify +nan.0 into +nan.0
22.259 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) in n
22.259 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))))) in n
22.259 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n
22.259 * [taylor]: Taking taylor expansion of 0.5 in n
22.259 * [backup-simplify]: Simplify 0.5 into 0.5
22.259 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n
22.259 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n
22.259 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n
22.259 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n
22.259 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n
22.259 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n
22.259 * [taylor]: Taking taylor expansion of 1.0 in n
22.259 * [backup-simplify]: Simplify 1.0 into 1.0
22.260 * [taylor]: Taking taylor expansion of (log PI) in n
22.260 * [taylor]: Taking taylor expansion of PI in n
22.260 * [backup-simplify]: Simplify PI into PI
22.260 * [backup-simplify]: Simplify (log PI) into (log PI)
22.261 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI))
22.263 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0)
22.263 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n
22.263 * [taylor]: Taking taylor expansion of (pow n 1.0) in n
22.263 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n
22.263 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n
22.263 * [taylor]: Taking taylor expansion of 1.0 in n
22.263 * [backup-simplify]: Simplify 1.0 into 1.0
22.263 * [taylor]: Taking taylor expansion of (log n) in n
22.263 * [taylor]: Taking taylor expansion of n in n
22.263 * [backup-simplify]: Simplify 0 into 0
22.263 * [backup-simplify]: Simplify 1 into 1
22.263 * [backup-simplify]: Simplify (log 1) into 0
22.264 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
22.264 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n))
22.264 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0)
22.264 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n
22.264 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n
22.264 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n
22.264 * [taylor]: Taking taylor expansion of 1.0 in n
22.264 * [backup-simplify]: Simplify 1.0 into 1.0
22.264 * [taylor]: Taking taylor expansion of (log 2.0) in n
22.264 * [taylor]: Taking taylor expansion of 2.0 in n
22.264 * [backup-simplify]: Simplify 2.0 into 2.0
22.265 * [backup-simplify]: Simplify (log 2.0) into (log 2.0)
22.265 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0))
22.267 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0)
22.267 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)
22.268 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)
22.270 * [backup-simplify]: Simplify (/ 1 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0)
22.271 * [backup-simplify]: Simplify (log (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0)) into (log (pow (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1.0))
22.272 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1.0) 1.0)))
22.274 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1.0) 1.0) 1.0) 0.5)
22.274 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) (- (+ (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))))))) in n
22.274 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) (- (+ (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))))) in n
22.274 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) in n
22.274 * [taylor]: Taking taylor expansion of +nan.0 in n
22.274 * [backup-simplify]: Simplify +nan.0 into +nan.0
22.274 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 2)) in n
22.274 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) in n
22.274 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))))) in n
22.274 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n
22.274 * [taylor]: Taking taylor expansion of 0.5 in n
22.274 * [backup-simplify]: Simplify 0.5 into 0.5
22.274 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n
22.274 * [taylor]: Taking taylor expansion of (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n
22.274 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n
22.274 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n
22.274 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n
22.274 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n
22.274 * [taylor]: Taking taylor expansion of 1.0 in n
22.274 * [backup-simplify]: Simplify 1.0 into 1.0
22.274 * [taylor]: Taking taylor expansion of (log 2.0) in n
22.274 * [taylor]: Taking taylor expansion of 2.0 in n
22.274 * [backup-simplify]: Simplify 2.0 into 2.0
22.275 * [backup-simplify]: Simplify (log 2.0) into (log 2.0)
22.276 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0))
22.277 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0)
22.277 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n
22.277 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n
22.277 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n
22.277 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n
22.277 * [taylor]: Taking taylor expansion of 1.0 in n
22.277 * [backup-simplify]: Simplify 1.0 into 1.0
22.277 * [taylor]: Taking taylor expansion of (log PI) in n
22.277 * [taylor]: Taking taylor expansion of PI in n
22.277 * [backup-simplify]: Simplify PI into PI
22.278 * [backup-simplify]: Simplify (log PI) into (log PI)
22.279 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI))
22.280 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0)
22.280 * [taylor]: Taking taylor expansion of (pow n 1.0) in n
22.280 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n
22.280 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n
22.280 * [taylor]: Taking taylor expansion of 1.0 in n
22.280 * [backup-simplify]: Simplify 1.0 into 1.0
22.280 * [taylor]: Taking taylor expansion of (log n) in n
22.280 * [taylor]: Taking taylor expansion of n in n
22.280 * [backup-simplify]: Simplify 0 into 0
22.280 * [backup-simplify]: Simplify 1 into 1
22.281 * [backup-simplify]: Simplify (log 1) into 0
22.281 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
22.281 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n))
22.281 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0)
22.282 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)
22.283 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)
22.284 * [backup-simplify]: Simplify (/ 1 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 1.0)
22.286 * [backup-simplify]: Simplify (log (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 1.0)) into (log (pow (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 1.0) 1.0))
22.287 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 1.0) 1.0) 1.0)))
22.288 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 1.0) 1.0) 1.0) 1.0) 0.5)
22.289 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n
22.289 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n
22.289 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n
22.289 * [taylor]: Taking taylor expansion of 2.0 in n
22.289 * [backup-simplify]: Simplify 2.0 into 2.0
22.289 * [taylor]: Taking taylor expansion of (* n PI) in n
22.289 * [taylor]: Taking taylor expansion of n in n
22.289 * [backup-simplify]: Simplify 0 into 0
22.289 * [backup-simplify]: Simplify 1 into 1
22.289 * [taylor]: Taking taylor expansion of PI in n
22.289 * [backup-simplify]: Simplify PI into PI
22.289 * [backup-simplify]: Simplify (* 0 PI) into 0
22.290 * [backup-simplify]: Simplify (* 2.0 0) into 0
22.291 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
22.292 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI)
22.293 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
22.295 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
22.295 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))))) in n
22.295 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))) in n
22.295 * [taylor]: Taking taylor expansion of (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) in n
22.295 * [taylor]: Taking taylor expansion of +nan.0 in n
22.295 * [backup-simplify]: Simplify +nan.0 into +nan.0
22.295 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) in n
22.295 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n
22.295 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n
22.295 * [taylor]: Taking taylor expansion of 2.0 in n
22.295 * [backup-simplify]: Simplify 2.0 into 2.0
22.295 * [taylor]: Taking taylor expansion of (* n PI) in n
22.295 * [taylor]: Taking taylor expansion of n in n
22.295 * [backup-simplify]: Simplify 0 into 0
22.295 * [backup-simplify]: Simplify 1 into 1
22.295 * [taylor]: Taking taylor expansion of PI in n
22.295 * [backup-simplify]: Simplify PI into PI
22.296 * [backup-simplify]: Simplify (* 0 PI) into 0
22.296 * [backup-simplify]: Simplify (* 2.0 0) into 0
22.298 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
22.300 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI)
22.301 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
22.301 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) in n
22.301 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))))) in n
22.301 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n
22.301 * [taylor]: Taking taylor expansion of 0.5 in n
22.301 * [backup-simplify]: Simplify 0.5 into 0.5
22.301 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n
22.301 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n
22.301 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n
22.301 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n
22.301 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n
22.301 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n
22.301 * [taylor]: Taking taylor expansion of 1.0 in n
22.301 * [backup-simplify]: Simplify 1.0 into 1.0
22.301 * [taylor]: Taking taylor expansion of (log PI) in n
22.301 * [taylor]: Taking taylor expansion of PI in n
22.301 * [backup-simplify]: Simplify PI into PI
22.302 * [backup-simplify]: Simplify (log PI) into (log PI)
22.303 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI))
22.304 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0)
22.304 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n
22.304 * [taylor]: Taking taylor expansion of (pow n 1.0) in n
22.304 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n
22.304 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n
22.304 * [taylor]: Taking taylor expansion of 1.0 in n
22.304 * [backup-simplify]: Simplify 1.0 into 1.0
22.304 * [taylor]: Taking taylor expansion of (log n) in n
22.304 * [taylor]: Taking taylor expansion of n in n
22.304 * [backup-simplify]: Simplify 0 into 0
22.304 * [backup-simplify]: Simplify 1 into 1
22.305 * [backup-simplify]: Simplify (log 1) into 0
22.305 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
22.305 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n))
22.305 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0)
22.305 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n
22.305 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n
22.306 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n
22.306 * [taylor]: Taking taylor expansion of 1.0 in n
22.306 * [backup-simplify]: Simplify 1.0 into 1.0
22.306 * [taylor]: Taking taylor expansion of (log 2.0) in n
22.306 * [taylor]: Taking taylor expansion of 2.0 in n
22.306 * [backup-simplify]: Simplify 2.0 into 2.0
22.306 * [backup-simplify]: Simplify (log 2.0) into (log 2.0)
22.307 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0))
22.308 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0)
22.309 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)
22.310 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)
22.311 * [backup-simplify]: Simplify (/ 1 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0)
22.313 * [backup-simplify]: Simplify (log (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0)) into (log (pow (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1.0))
22.314 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1.0) 1.0)))
22.316 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1.0) 1.0) 1.0) 0.5)
22.316 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))) in n
22.316 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) in n
22.316 * [taylor]: Taking taylor expansion of +nan.0 in n
22.316 * [backup-simplify]: Simplify +nan.0 into +nan.0
22.316 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) in n
22.316 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n
22.316 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n
22.316 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n
22.316 * [taylor]: Taking taylor expansion of 2.0 in n
22.316 * [backup-simplify]: Simplify 2.0 into 2.0
22.316 * [taylor]: Taking taylor expansion of (* n PI) in n
22.316 * [taylor]: Taking taylor expansion of n in n
22.316 * [backup-simplify]: Simplify 0 into 0
22.316 * [backup-simplify]: Simplify 1 into 1
22.316 * [taylor]: Taking taylor expansion of PI in n
22.316 * [backup-simplify]: Simplify PI into PI
22.317 * [backup-simplify]: Simplify (* 0 PI) into 0
22.317 * [backup-simplify]: Simplify (* 2.0 0) into 0
22.319 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
22.320 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI)
22.321 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
22.323 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
22.323 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) in n
22.323 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))))) in n
22.323 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n
22.323 * [taylor]: Taking taylor expansion of 0.5 in n
22.323 * [backup-simplify]: Simplify 0.5 into 0.5
22.323 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n
22.323 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n
22.323 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n
22.323 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n
22.323 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n
22.323 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n
22.323 * [taylor]: Taking taylor expansion of 1.0 in n
22.323 * [backup-simplify]: Simplify 1.0 into 1.0
22.323 * [taylor]: Taking taylor expansion of (log PI) in n
22.323 * [taylor]: Taking taylor expansion of PI in n
22.323 * [backup-simplify]: Simplify PI into PI
22.324 * [backup-simplify]: Simplify (log PI) into (log PI)
22.325 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI))
22.326 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0)
22.326 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n
22.326 * [taylor]: Taking taylor expansion of (pow n 1.0) in n
22.326 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n
22.326 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n
22.326 * [taylor]: Taking taylor expansion of 1.0 in n
22.326 * [backup-simplify]: Simplify 1.0 into 1.0
22.326 * [taylor]: Taking taylor expansion of (log n) in n
22.326 * [taylor]: Taking taylor expansion of n in n
22.326 * [backup-simplify]: Simplify 0 into 0
22.326 * [backup-simplify]: Simplify 1 into 1
22.327 * [backup-simplify]: Simplify (log 1) into 0
22.327 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
22.327 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n))
22.327 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0)
22.327 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n
22.327 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n
22.327 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n
22.328 * [taylor]: Taking taylor expansion of 1.0 in n
22.328 * [backup-simplify]: Simplify 1.0 into 1.0
22.328 * [taylor]: Taking taylor expansion of (log 2.0) in n
22.328 * [taylor]: Taking taylor expansion of 2.0 in n
22.328 * [backup-simplify]: Simplify 2.0 into 2.0
22.328 * [backup-simplify]: Simplify (log 2.0) into (log 2.0)
22.329 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0))
22.338 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0)
22.338 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)
22.339 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)
22.340 * [backup-simplify]: Simplify (/ 1 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0)
22.341 * [backup-simplify]: Simplify (log (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0)) into (log (pow (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1.0))
22.343 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1.0) 1.0)))
22.345 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1.0) 1.0) 1.0) 0.5)
22.347 * [backup-simplify]: Simplify (* +nan.0 (pow (pow (pow (pow (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))
22.349 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
22.351 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
22.353 * [backup-simplify]: Simplify (* (+ (log (* 2.0 PI)) (log n)) (+ (log (* 2.0 PI)) (log n))) into (pow (+ (log (* 2.0 PI)) (log n)) 2)
22.356 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 1.0) 1.0) 1.0) 1.0) 0.5) (pow (+ (log (* 2.0 PI)) (log n)) 2)) into (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))
22.358 * [backup-simplify]: Simplify (* +nan.0 (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) into (* +nan.0 (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)))
22.360 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
22.362 * [backup-simplify]: Simplify (* (+ (log (* 2.0 PI)) (log n)) (pow (pow (pow (pow (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (+ (log (* 2.0 PI)) (log n)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))
22.365 * [backup-simplify]: Simplify (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) into (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))
22.366 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
22.368 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
22.370 * [backup-simplify]: Simplify (* (+ (log (* 2.0 PI)) (log n)) (+ (log (* 2.0 PI)) (log n))) into (pow (+ (log (* 2.0 PI)) (log n)) 2)
22.373 * [backup-simplify]: Simplify (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (pow (pow (pow (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))
22.375 * [backup-simplify]: Simplify (* +nan.0 (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) into (* +nan.0 (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))
22.378 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))) into (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log n) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))))))
22.389 * [backup-simplify]: Simplify (+ (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log n) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5))) (- (+ (* +nan.0 (* (pow (log n) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))))))))))
22.404 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5))) (- (+ (* +nan.0 (* (pow (log n) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))))))))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log n) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))))))))))
22.422 * [backup-simplify]: Simplify (+ (* +nan.0 (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log n) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))))))))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log n) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))))))))))))
22.445 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log n) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))))))))))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5))) (- (+ (* +nan.0 (* (pow (log n) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))))))))))))
22.470 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5))) (- (+ (* +nan.0 (* (pow (log n) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))))))))))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log n) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))))))))))))))
22.501 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log n) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))))))))))))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5))) (- (+ (* +nan.0 (* (pow (log n) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))))))))))))))
22.525 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5))) (- (+ (* +nan.0 (* (pow (log n) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))))))))))))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log n) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))))))))))))))
22.557 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log n) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))))))))))))))) (pow (* 1 k) 3)) (+ (* (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) (- (* +nan.0 (* (log n) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))))))) (pow (* 1 k) 2)) (* (- (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (* 1 k)))) into (- (+ (* +nan.0 (* (pow k 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 3) (pow (log (* 2.0 PI)) 2)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (+ (* +nan.0 (* (pow k 3) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 3) (pow (log (* 2.0 PI)) 2)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 3) (log (* 2.0 PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* k (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 3) (log n)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 3) (pow (log n) 2)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log n)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5))) (- (* +nan.0 (* (* (pow k 3) (* (log (* 2.0 PI)) (log n))) (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5))))))))))))))))))))))))
22.558 * [backup-simplify]: Simplify (/ (sqrt (/ 1 k)) (pow (* (* 2.0 PI) (/ 1 n)) (/ (- 1.0 (/ 1 k)) 2.0))) into (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))))
22.558 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in (k n) around 0
22.558 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n
22.558 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
22.558 * [taylor]: Taking taylor expansion of (/ 1 k) in n
22.558 * [taylor]: Taking taylor expansion of k in n
22.558 * [backup-simplify]: Simplify k into k
22.558 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
22.559 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
22.559 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
22.559 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
22.559 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n
22.559 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n
22.559 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n
22.559 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n
22.559 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n
22.559 * [taylor]: Taking taylor expansion of 0.5 in n
22.559 * [backup-simplify]: Simplify 0.5 into 0.5
22.559 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n
22.559 * [taylor]: Taking taylor expansion of 1.0 in n
22.559 * [backup-simplify]: Simplify 1.0 into 1.0
22.559 * [taylor]: Taking taylor expansion of (/ 1 k) in n
22.559 * [taylor]: Taking taylor expansion of k in n
22.559 * [backup-simplify]: Simplify k into k
22.559 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
22.559 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n
22.559 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n
22.559 * [taylor]: Taking taylor expansion of 2.0 in n
22.559 * [backup-simplify]: Simplify 2.0 into 2.0
22.559 * [taylor]: Taking taylor expansion of (/ PI n) in n
22.559 * [taylor]: Taking taylor expansion of PI in n
22.559 * [backup-simplify]: Simplify PI into PI
22.559 * [taylor]: Taking taylor expansion of n in n
22.559 * [backup-simplify]: Simplify 0 into 0
22.559 * [backup-simplify]: Simplify 1 into 1
22.560 * [backup-simplify]: Simplify (/ PI 1) into PI
22.561 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
22.561 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
22.562 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
22.562 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k))
22.562 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k)))
22.563 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
22.564 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))
22.566 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))
22.567 * [backup-simplify]: Simplify (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))
22.567 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k
22.567 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
22.567 * [taylor]: Taking taylor expansion of (/ 1 k) in k
22.567 * [taylor]: Taking taylor expansion of k in k
22.567 * [backup-simplify]: Simplify 0 into 0
22.567 * [backup-simplify]: Simplify 1 into 1
22.568 * [backup-simplify]: Simplify (/ 1 1) into 1
22.568 * [backup-simplify]: Simplify (sqrt 0) into 0
22.569 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
22.569 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k
22.569 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k
22.569 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k
22.569 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k
22.569 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k
22.569 * [taylor]: Taking taylor expansion of 0.5 in k
22.570 * [backup-simplify]: Simplify 0.5 into 0.5
22.570 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k
22.570 * [taylor]: Taking taylor expansion of 1.0 in k
22.570 * [backup-simplify]: Simplify 1.0 into 1.0
22.570 * [taylor]: Taking taylor expansion of (/ 1 k) in k
22.570 * [taylor]: Taking taylor expansion of k in k
22.570 * [backup-simplify]: Simplify 0 into 0
22.570 * [backup-simplify]: Simplify 1 into 1
22.570 * [backup-simplify]: Simplify (/ 1 1) into 1
22.570 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k
22.570 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k
22.570 * [taylor]: Taking taylor expansion of 2.0 in k
22.570 * [backup-simplify]: Simplify 2.0 into 2.0
22.570 * [taylor]: Taking taylor expansion of (/ PI n) in k
22.570 * [taylor]: Taking taylor expansion of PI in k
22.570 * [backup-simplify]: Simplify PI into PI
22.570 * [taylor]: Taking taylor expansion of n in k
22.570 * [backup-simplify]: Simplify n into n
22.570 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
22.570 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n))
22.571 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n)))
22.571 * [backup-simplify]: Simplify (- 1) into -1
22.571 * [backup-simplify]: Simplify (+ 0 -1) into -1
22.572 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5
22.572 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n))))
22.572 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))
22.572 * [backup-simplify]: Simplify (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) into (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))
22.572 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k
22.572 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
22.572 * [taylor]: Taking taylor expansion of (/ 1 k) in k
22.572 * [taylor]: Taking taylor expansion of k in k
22.573 * [backup-simplify]: Simplify 0 into 0
22.573 * [backup-simplify]: Simplify 1 into 1
22.573 * [backup-simplify]: Simplify (/ 1 1) into 1
22.573 * [backup-simplify]: Simplify (sqrt 0) into 0
22.575 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
22.575 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k
22.575 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k
22.575 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k
22.575 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k
22.575 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k
22.575 * [taylor]: Taking taylor expansion of 0.5 in k
22.575 * [backup-simplify]: Simplify 0.5 into 0.5
22.575 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k
22.575 * [taylor]: Taking taylor expansion of 1.0 in k
22.575 * [backup-simplify]: Simplify 1.0 into 1.0
22.575 * [taylor]: Taking taylor expansion of (/ 1 k) in k
22.575 * [taylor]: Taking taylor expansion of k in k
22.575 * [backup-simplify]: Simplify 0 into 0
22.575 * [backup-simplify]: Simplify 1 into 1
22.576 * [backup-simplify]: Simplify (/ 1 1) into 1
22.576 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k
22.576 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k
22.576 * [taylor]: Taking taylor expansion of 2.0 in k
22.576 * [backup-simplify]: Simplify 2.0 into 2.0
22.576 * [taylor]: Taking taylor expansion of (/ PI n) in k
22.576 * [taylor]: Taking taylor expansion of PI in k
22.576 * [backup-simplify]: Simplify PI into PI
22.576 * [taylor]: Taking taylor expansion of n in k
22.576 * [backup-simplify]: Simplify n into n
22.576 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
22.576 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n))
22.576 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n)))
22.576 * [backup-simplify]: Simplify (- 1) into -1
22.577 * [backup-simplify]: Simplify (+ 0 -1) into -1
22.577 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5
22.577 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n))))
22.578 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))
22.578 * [backup-simplify]: Simplify (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) into (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))
22.578 * [backup-simplify]: Simplify (* 0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) into 0
22.578 * [taylor]: Taking taylor expansion of 0 in n
22.578 * [backup-simplify]: Simplify 0 into 0
22.578 * [backup-simplify]: Simplify 0 into 0
22.579 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) (/ 0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))))) into 0
22.580 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))))
22.580 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) in n
22.580 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n
22.580 * [taylor]: Taking taylor expansion of +nan.0 in n
22.580 * [backup-simplify]: Simplify +nan.0 into +nan.0
22.580 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n
22.581 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n
22.581 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n
22.581 * [taylor]: Taking taylor expansion of 0.5 in n
22.581 * [backup-simplify]: Simplify 0.5 into 0.5
22.581 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n
22.581 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n
22.581 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n
22.581 * [taylor]: Taking taylor expansion of 2.0 in n
22.581 * [backup-simplify]: Simplify 2.0 into 2.0
22.581 * [taylor]: Taking taylor expansion of (/ PI n) in n
22.581 * [taylor]: Taking taylor expansion of PI in n
22.581 * [backup-simplify]: Simplify PI into PI
22.581 * [taylor]: Taking taylor expansion of n in n
22.581 * [backup-simplify]: Simplify 0 into 0
22.581 * [backup-simplify]: Simplify 1 into 1
22.582 * [backup-simplify]: Simplify (/ PI 1) into PI
22.582 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
22.583 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
22.583 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n
22.583 * [taylor]: Taking taylor expansion of 1.0 in n
22.583 * [backup-simplify]: Simplify 1.0 into 1.0
22.583 * [taylor]: Taking taylor expansion of (/ 1 k) in n
22.583 * [taylor]: Taking taylor expansion of k in n
22.583 * [backup-simplify]: Simplify k into k
22.583 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
22.585 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
22.585 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
22.585 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k))
22.586 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))
22.587 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))
22.588 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))
22.590 * [backup-simplify]: Simplify (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))
22.591 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (/ +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))
22.592 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))))
22.593 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))))
22.593 * [backup-simplify]: Simplify 0 into 0
22.594 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) (/ 0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) (* 0 (/ 0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))))) into 0
22.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
22.598 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
22.599 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))))) into (- (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))))
22.599 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) in n
22.599 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n
22.599 * [taylor]: Taking taylor expansion of +nan.0 in n
22.599 * [backup-simplify]: Simplify +nan.0 into +nan.0
22.599 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n
22.599 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n
22.599 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n
22.599 * [taylor]: Taking taylor expansion of 0.5 in n
22.599 * [backup-simplify]: Simplify 0.5 into 0.5
22.599 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n
22.599 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n
22.599 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n
22.599 * [taylor]: Taking taylor expansion of 2.0 in n
22.599 * [backup-simplify]: Simplify 2.0 into 2.0
22.599 * [taylor]: Taking taylor expansion of (/ PI n) in n
22.599 * [taylor]: Taking taylor expansion of PI in n
22.599 * [backup-simplify]: Simplify PI into PI
22.599 * [taylor]: Taking taylor expansion of n in n
22.600 * [backup-simplify]: Simplify 0 into 0
22.600 * [backup-simplify]: Simplify 1 into 1
22.600 * [backup-simplify]: Simplify (/ PI 1) into PI
22.600 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
22.601 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
22.602 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n
22.602 * [taylor]: Taking taylor expansion of 1.0 in n
22.602 * [backup-simplify]: Simplify 1.0 into 1.0
22.602 * [taylor]: Taking taylor expansion of (/ 1 k) in n
22.602 * [taylor]: Taking taylor expansion of k in n
22.602 * [backup-simplify]: Simplify k into k
22.602 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
22.603 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
22.603 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
22.603 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k))
22.604 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))
22.605 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))
22.607 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))
22.608 * [backup-simplify]: Simplify (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))
22.609 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (/ +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))
22.610 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))))
22.611 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))))
22.613 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
22.613 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
22.613 * [backup-simplify]: Simplify (- 0) into 0
22.614 * [backup-simplify]: Simplify (+ 0 0) into 0
22.615 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
22.615 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0
22.617 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0
22.618 * [backup-simplify]: Simplify (+ (* (- (log (* 2.0 PI)) (log n)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0
22.620 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into 0
22.622 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0
22.624 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) (/ 0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))))) into 0
22.626 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) into 0
22.626 * [backup-simplify]: Simplify (- 0) into 0
22.626 * [backup-simplify]: Simplify 0 into 0
22.626 * [backup-simplify]: Simplify 0 into 0
22.627 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) (/ 0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) (* 0 (/ 0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) (* 0 (/ 0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))))) into 0
22.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
22.638 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
22.640 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))))) into (- (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))))
22.640 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) in n
22.640 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n
22.640 * [taylor]: Taking taylor expansion of +nan.0 in n
22.640 * [backup-simplify]: Simplify +nan.0 into +nan.0
22.640 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n
22.640 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n
22.640 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n
22.640 * [taylor]: Taking taylor expansion of 0.5 in n
22.640 * [backup-simplify]: Simplify 0.5 into 0.5
22.640 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n
22.640 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n
22.640 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n
22.640 * [taylor]: Taking taylor expansion of 2.0 in n
22.640 * [backup-simplify]: Simplify 2.0 into 2.0
22.640 * [taylor]: Taking taylor expansion of (/ PI n) in n
22.641 * [taylor]: Taking taylor expansion of PI in n
22.641 * [backup-simplify]: Simplify PI into PI
22.641 * [taylor]: Taking taylor expansion of n in n
22.641 * [backup-simplify]: Simplify 0 into 0
22.641 * [backup-simplify]: Simplify 1 into 1
22.641 * [backup-simplify]: Simplify (/ PI 1) into PI
22.642 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
22.643 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
22.643 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n
22.643 * [taylor]: Taking taylor expansion of 1.0 in n
22.643 * [backup-simplify]: Simplify 1.0 into 1.0
22.643 * [taylor]: Taking taylor expansion of (/ 1 k) in n
22.643 * [taylor]: Taking taylor expansion of k in n
22.643 * [backup-simplify]: Simplify k into k
22.643 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
22.644 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
22.644 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
22.644 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k))
22.646 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))
22.647 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))
22.648 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))
22.649 * [backup-simplify]: Simplify (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))
22.650 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (/ +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))
22.652 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))))
22.653 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))))
22.657 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k))))))))) (pow (* 1 (/ 1 k)) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k))))))))) (* 1 (/ 1 k))) (- (* +nan.0 (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k))))))))))) into (- (+ (* +nan.0 (/ 1 (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k))))))) (- (+ (* +nan.0 (/ 1 (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k))))))) (- (* +nan.0 (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))))))))))
22.658 * [backup-simplify]: Simplify (/ (sqrt (/ 1 (- k))) (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (- 1.0 (/ 1 (- k))) 2.0))) into (/ (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))))
22.659 * [approximate]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in (k n) around 0
22.659 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in n
22.659 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
22.659 * [taylor]: Taking taylor expansion of (/ -1 k) in n
22.659 * [taylor]: Taking taylor expansion of -1 in n
22.659 * [backup-simplify]: Simplify -1 into -1
22.659 * [taylor]: Taking taylor expansion of k in n
22.659 * [backup-simplify]: Simplify k into k
22.659 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
22.659 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
22.659 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
22.659 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
22.659 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n
22.659 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n
22.659 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n
22.659 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n
22.659 * [taylor]: Taking taylor expansion of 0.5 in n
22.659 * [backup-simplify]: Simplify 0.5 into 0.5
22.659 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n
22.659 * [taylor]: Taking taylor expansion of (/ 1 k) in n
22.659 * [taylor]: Taking taylor expansion of k in n
22.659 * [backup-simplify]: Simplify k into k
22.659 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
22.659 * [taylor]: Taking taylor expansion of 1.0 in n
22.659 * [backup-simplify]: Simplify 1.0 into 1.0
22.659 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n
22.659 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n
22.659 * [taylor]: Taking taylor expansion of -2.0 in n
22.660 * [backup-simplify]: Simplify -2.0 into -2.0
22.660 * [taylor]: Taking taylor expansion of (/ PI n) in n
22.660 * [taylor]: Taking taylor expansion of PI in n
22.660 * [backup-simplify]: Simplify PI into PI
22.660 * [taylor]: Taking taylor expansion of n in n
22.660 * [backup-simplify]: Simplify 0 into 0
22.660 * [backup-simplify]: Simplify 1 into 1
22.660 * [backup-simplify]: Simplify (/ PI 1) into PI
22.661 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
22.662 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI))
22.662 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0)
22.662 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0))
22.663 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
22.664 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))
22.666 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))
22.667 * [backup-simplify]: Simplify (/ (sqrt (/ -1 k)) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (/ (sqrt (/ -1 k)) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))
22.667 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in k
22.667 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
22.667 * [taylor]: Taking taylor expansion of (/ -1 k) in k
22.667 * [taylor]: Taking taylor expansion of -1 in k
22.667 * [backup-simplify]: Simplify -1 into -1
22.667 * [taylor]: Taking taylor expansion of k in k
22.667 * [backup-simplify]: Simplify 0 into 0
22.667 * [backup-simplify]: Simplify 1 into 1
22.667 * [backup-simplify]: Simplify (/ -1 1) into -1
22.668 * [backup-simplify]: Simplify (sqrt 0) into 0
22.669 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
22.669 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k
22.669 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k
22.669 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k
22.669 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k
22.669 * [taylor]: Taking taylor expansion of 0.5 in k
22.669 * [backup-simplify]: Simplify 0.5 into 0.5
22.669 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k
22.669 * [taylor]: Taking taylor expansion of (/ 1 k) in k
22.669 * [taylor]: Taking taylor expansion of k in k
22.669 * [backup-simplify]: Simplify 0 into 0
22.669 * [backup-simplify]: Simplify 1 into 1
22.670 * [backup-simplify]: Simplify (/ 1 1) into 1
22.670 * [taylor]: Taking taylor expansion of 1.0 in k
22.670 * [backup-simplify]: Simplify 1.0 into 1.0
22.670 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k
22.670 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k
22.670 * [taylor]: Taking taylor expansion of -2.0 in k
22.670 * [backup-simplify]: Simplify -2.0 into -2.0
22.670 * [taylor]: Taking taylor expansion of (/ PI n) in k
22.670 * [taylor]: Taking taylor expansion of PI in k
22.670 * [backup-simplify]: Simplify PI into PI
22.670 * [taylor]: Taking taylor expansion of n in k
22.670 * [backup-simplify]: Simplify n into n
22.670 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
22.670 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n))
22.670 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n)))
22.671 * [backup-simplify]: Simplify (+ 1 0) into 1
22.671 * [backup-simplify]: Simplify (* 0.5 1) into 0.5
22.671 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n))))
22.672 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))
22.672 * [backup-simplify]: Simplify (/ +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) into (/ +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))
22.672 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in k
22.672 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
22.672 * [taylor]: Taking taylor expansion of (/ -1 k) in k
22.672 * [taylor]: Taking taylor expansion of -1 in k
22.672 * [backup-simplify]: Simplify -1 into -1
22.672 * [taylor]: Taking taylor expansion of k in k
22.672 * [backup-simplify]: Simplify 0 into 0
22.672 * [backup-simplify]: Simplify 1 into 1
22.672 * [backup-simplify]: Simplify (/ -1 1) into -1
22.673 * [backup-simplify]: Simplify (sqrt 0) into 0
22.674 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
22.674 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k
22.674 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k
22.674 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k
22.674 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k
22.674 * [taylor]: Taking taylor expansion of 0.5 in k
22.674 * [backup-simplify]: Simplify 0.5 into 0.5
22.674 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k
22.674 * [taylor]: Taking taylor expansion of (/ 1 k) in k
22.674 * [taylor]: Taking taylor expansion of k in k
22.674 * [backup-simplify]: Simplify 0 into 0
22.674 * [backup-simplify]: Simplify 1 into 1
22.675 * [backup-simplify]: Simplify (/ 1 1) into 1
22.675 * [taylor]: Taking taylor expansion of 1.0 in k
22.675 * [backup-simplify]: Simplify 1.0 into 1.0
22.675 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k
22.675 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k
22.675 * [taylor]: Taking taylor expansion of -2.0 in k
22.675 * [backup-simplify]: Simplify -2.0 into -2.0
22.675 * [taylor]: Taking taylor expansion of (/ PI n) in k
22.675 * [taylor]: Taking taylor expansion of PI in k
22.675 * [backup-simplify]: Simplify PI into PI
22.675 * [taylor]: Taking taylor expansion of n in k
22.675 * [backup-simplify]: Simplify n into n
22.675 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
22.675 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n))
22.675 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n)))
22.676 * [backup-simplify]: Simplify (+ 1 0) into 1
22.676 * [backup-simplify]: Simplify (* 0.5 1) into 0.5
22.676 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n))))
22.676 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))
22.677 * [backup-simplify]: Simplify (/ +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) into (/ +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))
22.677 * [taylor]: Taking taylor expansion of (/ +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n
22.677 * [taylor]: Taking taylor expansion of +nan.0 in n
22.677 * [backup-simplify]: Simplify +nan.0 into +nan.0
22.677 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n
22.677 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n
22.677 * [taylor]: Taking taylor expansion of 0.5 in n
22.677 * [backup-simplify]: Simplify 0.5 into 0.5
22.677 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n
22.677 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n
22.677 * [taylor]: Taking taylor expansion of (/ 1 k) in n
22.677 * [taylor]: Taking taylor expansion of k in n
22.677 * [backup-simplify]: Simplify k into k
22.677 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
22.677 * [taylor]: Taking taylor expansion of 1.0 in n
22.677 * [backup-simplify]: Simplify 1.0 into 1.0
22.677 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n
22.677 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n
22.677 * [taylor]: Taking taylor expansion of -2.0 in n
22.677 * [backup-simplify]: Simplify -2.0 into -2.0
22.677 * [taylor]: Taking taylor expansion of (/ PI n) in n
22.677 * [taylor]: Taking taylor expansion of PI in n
22.677 * [backup-simplify]: Simplify PI into PI
22.677 * [taylor]: Taking taylor expansion of n in n
22.677 * [backup-simplify]: Simplify 0 into 0
22.677 * [backup-simplify]: Simplify 1 into 1
22.678 * [backup-simplify]: Simplify (/ PI 1) into PI
22.679 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
22.680 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI))
22.680 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0)
22.681 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
22.682 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))
22.684 * [backup-simplify]: Simplify (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))
22.685 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))
22.686 * [backup-simplify]: Simplify (/ +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (/ +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))
22.688 * [backup-simplify]: Simplify (/ +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (/ +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))
22.688 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
22.691 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
22.692 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) (+ (* (/ +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) (/ 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))))) into (- (* +nan.0 (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))))
22.692 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) in n
22.692 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n
22.692 * [taylor]: Taking taylor expansion of +nan.0 in n
22.692 * [backup-simplify]: Simplify +nan.0 into +nan.0
22.692 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n
22.692 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n
22.693 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n
22.693 * [taylor]: Taking taylor expansion of 0.5 in n
22.693 * [backup-simplify]: Simplify 0.5 into 0.5
22.693 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n
22.693 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n
22.693 * [taylor]: Taking taylor expansion of (/ 1 k) in n
22.693 * [taylor]: Taking taylor expansion of k in n
22.693 * [backup-simplify]: Simplify k into k
22.693 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
22.693 * [taylor]: Taking taylor expansion of 1.0 in n
22.693 * [backup-simplify]: Simplify 1.0 into 1.0
22.693 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n
22.693 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n
22.693 * [taylor]: Taking taylor expansion of -2.0 in n
22.693 * [backup-simplify]: Simplify -2.0 into -2.0
22.693 * [taylor]: Taking taylor expansion of (/ PI n) in n
22.693 * [taylor]: Taking taylor expansion of PI in n
22.693 * [backup-simplify]: Simplify PI into PI
22.693 * [taylor]: Taking taylor expansion of n in n
22.693 * [backup-simplify]: Simplify 0 into 0
22.693 * [backup-simplify]: Simplify 1 into 1
22.694 * [backup-simplify]: Simplify (/ PI 1) into PI
22.694 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
22.695 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI))
22.695 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0)
22.697 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
22.698 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))
22.699 * [backup-simplify]: Simplify (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))
22.700 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))
22.702 * [backup-simplify]: Simplify (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))
22.703 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (/ +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))
22.704 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))))
22.705 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))))) into (- (* +nan.0 (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))))
22.706 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
22.707 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0
22.709 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0
22.709 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
22.710 * [backup-simplify]: Simplify (+ 0 0) into 0
22.712 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
22.713 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0
22.714 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into 0
22.716 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
22.720 * [backup-simplify]: Simplify (- (/ 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) (+ (* (/ +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) (/ 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))))) into 0
22.720 * [backup-simplify]: Simplify 0 into 0
22.721 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
22.725 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
22.727 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) (+ (* (/ +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) (/ 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) (* (- (* +nan.0 (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) (/ 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))))) into (- (* +nan.0 (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))))
22.727 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) in n
22.727 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n
22.727 * [taylor]: Taking taylor expansion of +nan.0 in n
22.727 * [backup-simplify]: Simplify +nan.0 into +nan.0
22.727 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n
22.727 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n
22.727 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n
22.727 * [taylor]: Taking taylor expansion of 0.5 in n
22.727 * [backup-simplify]: Simplify 0.5 into 0.5
22.727 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n
22.727 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n
22.727 * [taylor]: Taking taylor expansion of (/ 1 k) in n
22.727 * [taylor]: Taking taylor expansion of k in n
22.727 * [backup-simplify]: Simplify k into k
22.727 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
22.727 * [taylor]: Taking taylor expansion of 1.0 in n
22.727 * [backup-simplify]: Simplify 1.0 into 1.0
22.727 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n
22.727 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n
22.727 * [taylor]: Taking taylor expansion of -2.0 in n
22.727 * [backup-simplify]: Simplify -2.0 into -2.0
22.727 * [taylor]: Taking taylor expansion of (/ PI n) in n
22.727 * [taylor]: Taking taylor expansion of PI in n
22.727 * [backup-simplify]: Simplify PI into PI
22.727 * [taylor]: Taking taylor expansion of n in n
22.727 * [backup-simplify]: Simplify 0 into 0
22.727 * [backup-simplify]: Simplify 1 into 1
22.728 * [backup-simplify]: Simplify (/ PI 1) into PI
22.729 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
22.730 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI))
22.730 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0)
22.731 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
22.732 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))
22.734 * [backup-simplify]: Simplify (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))
22.735 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))
22.736 * [backup-simplify]: Simplify (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))
22.737 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (/ +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))
22.739 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))))
22.740 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))))) into (- (* +nan.0 (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))))
22.744 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n)))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n)))))))))) (* 1 (/ 1 (- k)))) (/ +nan.0 (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ 1 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (- (+ (* +nan.0 (/ 1 (* k (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))))) (- (* +nan.0 (/ 1 (* (pow k 2) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))))))))))
22.744 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2)
22.745 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))
22.745 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0
22.745 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k
22.745 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k
22.745 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k
22.745 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k
22.745 * [taylor]: Taking taylor expansion of 0.5 in k
22.746 * [backup-simplify]: Simplify 0.5 into 0.5
22.746 * [taylor]: Taking taylor expansion of (- 1.0 k) in k
22.746 * [taylor]: Taking taylor expansion of 1.0 in k
22.746 * [backup-simplify]: Simplify 1.0 into 1.0
22.746 * [taylor]: Taking taylor expansion of k in k
22.746 * [backup-simplify]: Simplify 0 into 0
22.746 * [backup-simplify]: Simplify 1 into 1
22.746 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k
22.746 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k
22.746 * [taylor]: Taking taylor expansion of 2.0 in k
22.746 * [backup-simplify]: Simplify 2.0 into 2.0
22.746 * [taylor]: Taking taylor expansion of (* n PI) in k
22.746 * [taylor]: Taking taylor expansion of n in k
22.746 * [backup-simplify]: Simplify n into n
22.746 * [taylor]: Taking taylor expansion of PI in k
22.746 * [backup-simplify]: Simplify PI into PI
22.746 * [backup-simplify]: Simplify (* n PI) into (* n PI)
22.746 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI))
22.746 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI)))
22.747 * [backup-simplify]: Simplify (- 0) into 0
22.747 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
22.748 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5
22.748 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI))))
22.748 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5)
22.748 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n
22.748 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n
22.748 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n
22.748 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n
22.748 * [taylor]: Taking taylor expansion of 0.5 in n
22.748 * [backup-simplify]: Simplify 0.5 into 0.5
22.748 * [taylor]: Taking taylor expansion of (- 1.0 k) in n
22.748 * [taylor]: Taking taylor expansion of 1.0 in n
22.748 * [backup-simplify]: Simplify 1.0 into 1.0
22.748 * [taylor]: Taking taylor expansion of k in n
22.748 * [backup-simplify]: Simplify k into k
22.748 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n
22.748 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n
22.748 * [taylor]: Taking taylor expansion of 2.0 in n
22.748 * [backup-simplify]: Simplify 2.0 into 2.0
22.748 * [taylor]: Taking taylor expansion of (* n PI) in n
22.748 * [taylor]: Taking taylor expansion of n in n
22.748 * [backup-simplify]: Simplify 0 into 0
22.748 * [backup-simplify]: Simplify 1 into 1
22.748 * [taylor]: Taking taylor expansion of PI in n
22.748 * [backup-simplify]: Simplify PI into PI
22.749 * [backup-simplify]: Simplify (* 0 PI) into 0
22.749 * [backup-simplify]: Simplify (* 2.0 0) into 0
22.751 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
22.752 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI)
22.753 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
22.753 * [backup-simplify]: Simplify (- k) into (- k)
22.753 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k)
22.753 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k))
22.755 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
22.756 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))
22.757 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))))
22.757 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n
22.757 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n
22.757 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n
22.757 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n
22.757 * [taylor]: Taking taylor expansion of 0.5 in n
22.757 * [backup-simplify]: Simplify 0.5 into 0.5
22.757 * [taylor]: Taking taylor expansion of (- 1.0 k) in n
22.757 * [taylor]: Taking taylor expansion of 1.0 in n
22.757 * [backup-simplify]: Simplify 1.0 into 1.0
22.757 * [taylor]: Taking taylor expansion of k in n
22.757 * [backup-simplify]: Simplify k into k
22.757 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n
22.757 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n
22.757 * [taylor]: Taking taylor expansion of 2.0 in n
22.757 * [backup-simplify]: Simplify 2.0 into 2.0
22.757 * [taylor]: Taking taylor expansion of (* n PI) in n
22.757 * [taylor]: Taking taylor expansion of n in n
22.757 * [backup-simplify]: Simplify 0 into 0
22.757 * [backup-simplify]: Simplify 1 into 1
22.757 * [taylor]: Taking taylor expansion of PI in n
22.757 * [backup-simplify]: Simplify PI into PI
22.758 * [backup-simplify]: Simplify (* 0 PI) into 0
22.758 * [backup-simplify]: Simplify (* 2.0 0) into 0
22.760 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
22.761 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI)
22.762 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
22.762 * [backup-simplify]: Simplify (- k) into (- k)
22.762 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k)
22.762 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k))
22.763 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
22.764 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))
22.766 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))))
22.766 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k
22.766 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k
22.766 * [taylor]: Taking taylor expansion of 0.5 in k
22.766 * [backup-simplify]: Simplify 0.5 into 0.5
22.766 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k
22.766 * [taylor]: Taking taylor expansion of (- 1.0 k) in k
22.766 * [taylor]: Taking taylor expansion of 1.0 in k
22.766 * [backup-simplify]: Simplify 1.0 into 1.0
22.766 * [taylor]: Taking taylor expansion of k in k
22.766 * [backup-simplify]: Simplify 0 into 0
22.766 * [backup-simplify]: Simplify 1 into 1
22.766 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k
22.766 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k
22.766 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k
22.766 * [taylor]: Taking taylor expansion of 2.0 in k
22.766 * [backup-simplify]: Simplify 2.0 into 2.0
22.766 * [taylor]: Taking taylor expansion of PI in k
22.766 * [backup-simplify]: Simplify PI into PI
22.767 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
22.768 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
22.768 * [taylor]: Taking taylor expansion of (log n) in k
22.768 * [taylor]: Taking taylor expansion of n in k
22.768 * [backup-simplify]: Simplify n into n
22.768 * [backup-simplify]: Simplify (log n) into (log n)
22.768 * [backup-simplify]: Simplify (- 0) into 0
22.768 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
22.769 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n))
22.770 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n)))
22.771 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n)))
22.772 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))
22.774 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))
22.775 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
22.776 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0
22.777 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0
22.778 * [backup-simplify]: Simplify (- 0) into 0
22.778 * [backup-simplify]: Simplify (+ 0 0) into 0
22.779 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0
22.780 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
22.789 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0
22.791 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
22.791 * [taylor]: Taking taylor expansion of 0 in k
22.791 * [backup-simplify]: Simplify 0 into 0
22.792 * [backup-simplify]: Simplify 0 into 0
22.792 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0
22.794 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0
22.795 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
22.795 * [backup-simplify]: Simplify (+ 0 0) into 0
22.796 * [backup-simplify]: Simplify (- 1) into -1
22.796 * [backup-simplify]: Simplify (+ 0 -1) into -1
22.797 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n)))
22.800 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n))))) into (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))))
22.803 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 1) 1)))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))
22.807 * [backup-simplify]: Simplify (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))
22.808 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
22.809 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
22.813 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0
22.813 * [backup-simplify]: Simplify (- 0) into 0
22.814 * [backup-simplify]: Simplify (+ 0 0) into 0
22.815 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0
22.817 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
22.819 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0
22.822 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
22.822 * [taylor]: Taking taylor expansion of 0 in k
22.822 * [backup-simplify]: Simplify 0 into 0
22.822 * [backup-simplify]: Simplify 0 into 0
22.822 * [backup-simplify]: Simplify 0 into 0
22.824 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0
22.827 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0
22.829 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
22.830 * [backup-simplify]: Simplify (+ 0 0) into 0
22.830 * [backup-simplify]: Simplify (- 0) into 0
22.830 * [backup-simplify]: Simplify (+ 0 0) into 0
22.832 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0
22.835 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0
22.838 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n))))))
22.843 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n))))))
22.853 * [backup-simplify]: Simplify (+ (* (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (* k 1)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))))
22.854 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 n)) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))
22.854 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0
22.854 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k
22.854 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k
22.854 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k
22.854 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k
22.854 * [taylor]: Taking taylor expansion of 0.5 in k
22.854 * [backup-simplify]: Simplify 0.5 into 0.5
22.854 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k
22.854 * [taylor]: Taking taylor expansion of 1.0 in k
22.854 * [backup-simplify]: Simplify 1.0 into 1.0
22.854 * [taylor]: Taking taylor expansion of (/ 1 k) in k
22.854 * [taylor]: Taking taylor expansion of k in k
22.854 * [backup-simplify]: Simplify 0 into 0
22.854 * [backup-simplify]: Simplify 1 into 1
22.855 * [backup-simplify]: Simplify (/ 1 1) into 1
22.855 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k
22.855 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k
22.855 * [taylor]: Taking taylor expansion of 2.0 in k
22.855 * [backup-simplify]: Simplify 2.0 into 2.0
22.855 * [taylor]: Taking taylor expansion of (/ PI n) in k
22.855 * [taylor]: Taking taylor expansion of PI in k
22.855 * [backup-simplify]: Simplify PI into PI
22.855 * [taylor]: Taking taylor expansion of n in k
22.855 * [backup-simplify]: Simplify n into n
22.855 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
22.855 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n))
22.855 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n)))
22.855 * [backup-simplify]: Simplify (- 1) into -1
22.856 * [backup-simplify]: Simplify (+ 0 -1) into -1
22.856 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5
22.856 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n))))
22.856 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))
22.856 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n
22.856 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n
22.857 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n
22.857 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n
22.857 * [taylor]: Taking taylor expansion of 0.5 in n
22.857 * [backup-simplify]: Simplify 0.5 into 0.5
22.857 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n
22.857 * [taylor]: Taking taylor expansion of 1.0 in n
22.857 * [backup-simplify]: Simplify 1.0 into 1.0
22.857 * [taylor]: Taking taylor expansion of (/ 1 k) in n
22.857 * [taylor]: Taking taylor expansion of k in n
22.857 * [backup-simplify]: Simplify k into k
22.857 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
22.857 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n
22.857 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n
22.857 * [taylor]: Taking taylor expansion of 2.0 in n
22.857 * [backup-simplify]: Simplify 2.0 into 2.0
22.857 * [taylor]: Taking taylor expansion of (/ PI n) in n
22.857 * [taylor]: Taking taylor expansion of PI in n
22.857 * [backup-simplify]: Simplify PI into PI
22.857 * [taylor]: Taking taylor expansion of n in n
22.857 * [backup-simplify]: Simplify 0 into 0
22.857 * [backup-simplify]: Simplify 1 into 1
22.858 * [backup-simplify]: Simplify (/ PI 1) into PI
22.858 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
22.859 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
22.859 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
22.859 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k))
22.859 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k)))
22.860 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
22.862 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))
22.863 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))
22.863 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n
22.863 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n
22.863 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n
22.863 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n
22.863 * [taylor]: Taking taylor expansion of 0.5 in n
22.863 * [backup-simplify]: Simplify 0.5 into 0.5
22.863 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n
22.863 * [taylor]: Taking taylor expansion of 1.0 in n
22.863 * [backup-simplify]: Simplify 1.0 into 1.0
22.863 * [taylor]: Taking taylor expansion of (/ 1 k) in n
22.863 * [taylor]: Taking taylor expansion of k in n
22.863 * [backup-simplify]: Simplify k into k
22.863 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
22.863 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n
22.863 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n
22.863 * [taylor]: Taking taylor expansion of 2.0 in n
22.863 * [backup-simplify]: Simplify 2.0 into 2.0
22.863 * [taylor]: Taking taylor expansion of (/ PI n) in n
22.863 * [taylor]: Taking taylor expansion of PI in n
22.863 * [backup-simplify]: Simplify PI into PI
22.863 * [taylor]: Taking taylor expansion of n in n
22.863 * [backup-simplify]: Simplify 0 into 0
22.863 * [backup-simplify]: Simplify 1 into 1
22.864 * [backup-simplify]: Simplify (/ PI 1) into PI
22.864 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
22.865 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
22.865 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
22.865 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k))
22.865 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k)))
22.867 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
22.868 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))
22.869 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))
22.869 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k
22.869 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k
22.870 * [taylor]: Taking taylor expansion of 0.5 in k
22.870 * [backup-simplify]: Simplify 0.5 into 0.5
22.870 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k
22.870 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k
22.870 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k
22.870 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k
22.870 * [taylor]: Taking taylor expansion of 2.0 in k
22.870 * [backup-simplify]: Simplify 2.0 into 2.0
22.870 * [taylor]: Taking taylor expansion of PI in k
22.870 * [backup-simplify]: Simplify PI into PI
22.870 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
22.871 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
22.871 * [taylor]: Taking taylor expansion of (log n) in k
22.871 * [taylor]: Taking taylor expansion of n in k
22.871 * [backup-simplify]: Simplify n into n
22.872 * [backup-simplify]: Simplify (log n) into (log n)
22.872 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k
22.872 * [taylor]: Taking taylor expansion of 1.0 in k
22.872 * [backup-simplify]: Simplify 1.0 into 1.0
22.872 * [taylor]: Taking taylor expansion of (/ 1 k) in k
22.872 * [taylor]: Taking taylor expansion of k in k
22.872 * [backup-simplify]: Simplify 0 into 0
22.872 * [backup-simplify]: Simplify 1 into 1
22.872 * [backup-simplify]: Simplify (/ 1 1) into 1
22.872 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
22.873 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n))
22.873 * [backup-simplify]: Simplify (- 1) into -1
22.874 * [backup-simplify]: Simplify (+ 0 -1) into -1
22.875 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n)))
22.876 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n)))
22.877 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))
22.878 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))
22.879 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
22.880 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0
22.881 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0
22.881 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
22.882 * [backup-simplify]: Simplify (- 0) into 0
22.882 * [backup-simplify]: Simplify (+ 0 0) into 0
22.883 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0
22.884 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
22.885 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0
22.890 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0
22.890 * [taylor]: Taking taylor expansion of 0 in k
22.890 * [backup-simplify]: Simplify 0 into 0
22.890 * [backup-simplify]: Simplify 0 into 0
22.890 * [backup-simplify]: Simplify 0 into 0
22.891 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
22.892 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0
22.895 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0
22.895 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
22.896 * [backup-simplify]: Simplify (- 0) into 0
22.896 * [backup-simplify]: Simplify (+ 0 0) into 0
22.897 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0
22.898 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
22.900 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0
22.902 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
22.902 * [taylor]: Taking taylor expansion of 0 in k
22.902 * [backup-simplify]: Simplify 0 into 0
22.902 * [backup-simplify]: Simplify 0 into 0
22.902 * [backup-simplify]: Simplify 0 into 0
22.902 * [backup-simplify]: Simplify 0 into 0
22.903 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
22.904 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
22.910 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0
22.910 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
22.910 * [backup-simplify]: Simplify (- 0) into 0
22.911 * [backup-simplify]: Simplify (+ 0 0) into 0
22.912 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0
22.913 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
22.915 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0
22.918 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
22.918 * [taylor]: Taking taylor expansion of 0 in k
22.918 * [backup-simplify]: Simplify 0 into 0
22.918 * [backup-simplify]: Simplify 0 into 0
22.919 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k))))
22.921 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))
22.921 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0
22.921 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k
22.922 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k
22.922 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k
22.922 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k
22.922 * [taylor]: Taking taylor expansion of 0.5 in k
22.922 * [backup-simplify]: Simplify 0.5 into 0.5
22.922 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k
22.922 * [taylor]: Taking taylor expansion of (/ 1 k) in k
22.922 * [taylor]: Taking taylor expansion of k in k
22.922 * [backup-simplify]: Simplify 0 into 0
22.922 * [backup-simplify]: Simplify 1 into 1
22.923 * [backup-simplify]: Simplify (/ 1 1) into 1
22.923 * [taylor]: Taking taylor expansion of 1.0 in k
22.923 * [backup-simplify]: Simplify 1.0 into 1.0
22.923 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k
22.923 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k
22.923 * [taylor]: Taking taylor expansion of -2.0 in k
22.923 * [backup-simplify]: Simplify -2.0 into -2.0
22.923 * [taylor]: Taking taylor expansion of (/ PI n) in k
22.923 * [taylor]: Taking taylor expansion of PI in k
22.923 * [backup-simplify]: Simplify PI into PI
22.923 * [taylor]: Taking taylor expansion of n in k
22.923 * [backup-simplify]: Simplify n into n
22.923 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
22.924 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n))
22.924 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n)))
22.925 * [backup-simplify]: Simplify (+ 1 0) into 1
22.925 * [backup-simplify]: Simplify (* 0.5 1) into 0.5
22.926 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n))))
22.926 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))
22.927 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n
22.927 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n
22.927 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n
22.927 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n
22.927 * [taylor]: Taking taylor expansion of 0.5 in n
22.927 * [backup-simplify]: Simplify 0.5 into 0.5
22.927 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n
22.927 * [taylor]: Taking taylor expansion of (/ 1 k) in n
22.927 * [taylor]: Taking taylor expansion of k in n
22.927 * [backup-simplify]: Simplify k into k
22.927 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
22.927 * [taylor]: Taking taylor expansion of 1.0 in n
22.927 * [backup-simplify]: Simplify 1.0 into 1.0
22.927 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n
22.927 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n
22.927 * [taylor]: Taking taylor expansion of -2.0 in n
22.927 * [backup-simplify]: Simplify -2.0 into -2.0
22.927 * [taylor]: Taking taylor expansion of (/ PI n) in n
22.927 * [taylor]: Taking taylor expansion of PI in n
22.927 * [backup-simplify]: Simplify PI into PI
22.927 * [taylor]: Taking taylor expansion of n in n
22.927 * [backup-simplify]: Simplify 0 into 0
22.927 * [backup-simplify]: Simplify 1 into 1
22.928 * [backup-simplify]: Simplify (/ PI 1) into PI
22.930 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
22.931 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI))
22.931 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0)
22.932 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0))
22.933 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
22.935 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))
22.936 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))
22.936 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n
22.936 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n
22.936 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n
22.936 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n
22.936 * [taylor]: Taking taylor expansion of 0.5 in n
22.936 * [backup-simplify]: Simplify 0.5 into 0.5
22.936 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n
22.936 * [taylor]: Taking taylor expansion of (/ 1 k) in n
22.936 * [taylor]: Taking taylor expansion of k in n
22.936 * [backup-simplify]: Simplify k into k
22.937 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
22.937 * [taylor]: Taking taylor expansion of 1.0 in n
22.937 * [backup-simplify]: Simplify 1.0 into 1.0
22.937 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n
22.937 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n
22.937 * [taylor]: Taking taylor expansion of -2.0 in n
22.937 * [backup-simplify]: Simplify -2.0 into -2.0
22.937 * [taylor]: Taking taylor expansion of (/ PI n) in n
22.937 * [taylor]: Taking taylor expansion of PI in n
22.937 * [backup-simplify]: Simplify PI into PI
22.937 * [taylor]: Taking taylor expansion of n in n
22.937 * [backup-simplify]: Simplify 0 into 0
22.937 * [backup-simplify]: Simplify 1 into 1
22.938 * [backup-simplify]: Simplify (/ PI 1) into PI
22.938 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
22.939 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI))
22.940 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0)
22.940 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0))
22.950 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
22.951 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))
22.952 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))
22.953 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k
22.953 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k
22.953 * [taylor]: Taking taylor expansion of 0.5 in k
22.953 * [backup-simplify]: Simplify 0.5 into 0.5
22.953 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k
22.953 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k
22.953 * [taylor]: Taking taylor expansion of (/ 1 k) in k
22.953 * [taylor]: Taking taylor expansion of k in k
22.953 * [backup-simplify]: Simplify 0 into 0
22.953 * [backup-simplify]: Simplify 1 into 1
22.953 * [backup-simplify]: Simplify (/ 1 1) into 1
22.953 * [taylor]: Taking taylor expansion of 1.0 in k
22.953 * [backup-simplify]: Simplify 1.0 into 1.0
22.953 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k
22.953 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k
22.953 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k
22.953 * [taylor]: Taking taylor expansion of -2.0 in k
22.953 * [backup-simplify]: Simplify -2.0 into -2.0
22.953 * [taylor]: Taking taylor expansion of PI in k
22.953 * [backup-simplify]: Simplify PI into PI
22.954 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
22.955 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI))
22.955 * [taylor]: Taking taylor expansion of (log n) in k
22.955 * [taylor]: Taking taylor expansion of n in k
22.955 * [backup-simplify]: Simplify n into n
22.955 * [backup-simplify]: Simplify (log n) into (log n)
22.956 * [backup-simplify]: Simplify (+ 1 0) into 1
22.956 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
22.957 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n))
22.958 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n))
22.959 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n)))
22.960 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))
22.961 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))
22.962 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
22.963 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0
22.965 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0
22.965 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
22.965 * [backup-simplify]: Simplify (+ 0 0) into 0
22.966 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0
22.967 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
22.968 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0
22.970 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
22.970 * [taylor]: Taking taylor expansion of 0 in k
22.970 * [backup-simplify]: Simplify 0 into 0
22.970 * [backup-simplify]: Simplify 0 into 0
22.970 * [backup-simplify]: Simplify 0 into 0
22.971 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
22.973 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0
22.976 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0
22.976 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
22.977 * [backup-simplify]: Simplify (+ 0 0) into 0
22.978 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0
22.979 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
22.981 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0
22.984 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
22.984 * [taylor]: Taking taylor expansion of 0 in k
22.984 * [backup-simplify]: Simplify 0 into 0
22.984 * [backup-simplify]: Simplify 0 into 0
22.984 * [backup-simplify]: Simplify 0 into 0
22.984 * [backup-simplify]: Simplify 0 into 0
22.985 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
22.987 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
22.992 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2.0 PI) 1)))) 6) into 0
22.993 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
22.993 * [backup-simplify]: Simplify (+ 0 0) into 0
22.995 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0
22.996 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
22.998 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0
23.000 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
23.001 * [taylor]: Taking taylor expansion of 0 in k
23.001 * [backup-simplify]: Simplify 0 into 0
23.001 * [backup-simplify]: Simplify 0 into 0
23.002 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))) into (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))
23.002 * * * * [progress]: [ 4 / 4 ] generating series at (2)
23.003 * [backup-simplify]: Simplify (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) into (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))))
23.003 * [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
23.003 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n
23.003 * [taylor]: Taking taylor expansion of 1.0 in n
23.003 * [backup-simplify]: Simplify 1.0 into 1.0
23.003 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n
23.003 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
23.004 * [taylor]: Taking taylor expansion of (/ 1 k) in n
23.004 * [taylor]: Taking taylor expansion of k in n
23.004 * [backup-simplify]: Simplify k into k
23.004 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
23.004 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
23.004 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
23.004 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
23.004 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n
23.004 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n
23.004 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n
23.004 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n
23.004 * [taylor]: Taking taylor expansion of 0.5 in n
23.004 * [backup-simplify]: Simplify 0.5 into 0.5
23.004 * [taylor]: Taking taylor expansion of (- 1.0 k) in n
23.004 * [taylor]: Taking taylor expansion of 1.0 in n
23.004 * [backup-simplify]: Simplify 1.0 into 1.0
23.004 * [taylor]: Taking taylor expansion of k in n
23.004 * [backup-simplify]: Simplify k into k
23.004 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n
23.004 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n
23.004 * [taylor]: Taking taylor expansion of 2.0 in n
23.004 * [backup-simplify]: Simplify 2.0 into 2.0
23.004 * [taylor]: Taking taylor expansion of (* n PI) in n
23.004 * [taylor]: Taking taylor expansion of n in n
23.005 * [backup-simplify]: Simplify 0 into 0
23.005 * [backup-simplify]: Simplify 1 into 1
23.005 * [taylor]: Taking taylor expansion of PI in n
23.005 * [backup-simplify]: Simplify PI into PI
23.005 * [backup-simplify]: Simplify (* 0 PI) into 0
23.006 * [backup-simplify]: Simplify (* 2.0 0) into 0
23.007 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
23.009 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI)
23.010 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
23.010 * [backup-simplify]: Simplify (- k) into (- k)
23.010 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k)
23.010 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k))
23.012 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
23.013 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))
23.014 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))))
23.014 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k
23.014 * [taylor]: Taking taylor expansion of 1.0 in k
23.014 * [backup-simplify]: Simplify 1.0 into 1.0
23.014 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k
23.014 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
23.014 * [taylor]: Taking taylor expansion of (/ 1 k) in k
23.014 * [taylor]: Taking taylor expansion of k in k
23.014 * [backup-simplify]: Simplify 0 into 0
23.014 * [backup-simplify]: Simplify 1 into 1
23.014 * [backup-simplify]: Simplify (/ 1 1) into 1
23.015 * [backup-simplify]: Simplify (sqrt 0) into 0
23.016 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
23.016 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k
23.016 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k
23.016 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k
23.016 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k
23.016 * [taylor]: Taking taylor expansion of 0.5 in k
23.016 * [backup-simplify]: Simplify 0.5 into 0.5
23.016 * [taylor]: Taking taylor expansion of (- 1.0 k) in k
23.016 * [taylor]: Taking taylor expansion of 1.0 in k
23.016 * [backup-simplify]: Simplify 1.0 into 1.0
23.016 * [taylor]: Taking taylor expansion of k in k
23.016 * [backup-simplify]: Simplify 0 into 0
23.016 * [backup-simplify]: Simplify 1 into 1
23.016 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k
23.017 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k
23.017 * [taylor]: Taking taylor expansion of 2.0 in k
23.017 * [backup-simplify]: Simplify 2.0 into 2.0
23.017 * [taylor]: Taking taylor expansion of (* n PI) in k
23.017 * [taylor]: Taking taylor expansion of n in k
23.017 * [backup-simplify]: Simplify n into n
23.017 * [taylor]: Taking taylor expansion of PI in k
23.017 * [backup-simplify]: Simplify PI into PI
23.017 * [backup-simplify]: Simplify (* n PI) into (* n PI)
23.017 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI))
23.017 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI)))
23.017 * [backup-simplify]: Simplify (- 0) into 0
23.018 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
23.018 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5
23.018 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI))))
23.018 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5)
23.018 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k
23.018 * [taylor]: Taking taylor expansion of 1.0 in k
23.019 * [backup-simplify]: Simplify 1.0 into 1.0
23.019 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k
23.019 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
23.019 * [taylor]: Taking taylor expansion of (/ 1 k) in k
23.019 * [taylor]: Taking taylor expansion of k in k
23.019 * [backup-simplify]: Simplify 0 into 0
23.019 * [backup-simplify]: Simplify 1 into 1
23.019 * [backup-simplify]: Simplify (/ 1 1) into 1
23.019 * [backup-simplify]: Simplify (sqrt 0) into 0
23.021 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
23.021 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k
23.021 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k
23.021 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k
23.021 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k
23.021 * [taylor]: Taking taylor expansion of 0.5 in k
23.021 * [backup-simplify]: Simplify 0.5 into 0.5
23.021 * [taylor]: Taking taylor expansion of (- 1.0 k) in k
23.021 * [taylor]: Taking taylor expansion of 1.0 in k
23.021 * [backup-simplify]: Simplify 1.0 into 1.0
23.021 * [taylor]: Taking taylor expansion of k in k
23.021 * [backup-simplify]: Simplify 0 into 0
23.021 * [backup-simplify]: Simplify 1 into 1
23.021 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k
23.021 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k
23.021 * [taylor]: Taking taylor expansion of 2.0 in k
23.021 * [backup-simplify]: Simplify 2.0 into 2.0
23.021 * [taylor]: Taking taylor expansion of (* n PI) in k
23.021 * [taylor]: Taking taylor expansion of n in k
23.021 * [backup-simplify]: Simplify n into n
23.021 * [taylor]: Taking taylor expansion of PI in k
23.021 * [backup-simplify]: Simplify PI into PI
23.021 * [backup-simplify]: Simplify (* n PI) into (* n PI)
23.021 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI))
23.021 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI)))
23.022 * [backup-simplify]: Simplify (- 0) into 0
23.022 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
23.023 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5
23.023 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI))))
23.023 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5)
23.023 * [backup-simplify]: Simplify (* 0 (pow (* 2.0 (* n PI)) 0.5)) into 0
23.024 * [backup-simplify]: Simplify (* 1.0 0) into 0
23.024 * [taylor]: Taking taylor expansion of 0 in n
23.024 * [backup-simplify]: Simplify 0 into 0
23.024 * [backup-simplify]: Simplify 0 into 0
23.024 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0
23.025 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (* n PI))) into 0
23.026 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 1) into 0
23.026 * [backup-simplify]: Simplify (- 1) into -1
23.026 * [backup-simplify]: Simplify (+ 0 -1) into -1
23.028 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5)
23.029 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 (* n PI))))) into (- (* 0.5 (log (* 2.0 (* n PI)))))
23.029 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 1) 1)))) into (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))
23.031 * [backup-simplify]: Simplify (+ (* 0 (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (* +nan.0 (pow (* 2.0 (* n PI)) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))
23.033 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0)) into (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))
23.033 * [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
23.033 * [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
23.033 * [taylor]: Taking taylor expansion of +nan.0 in n
23.033 * [backup-simplify]: Simplify +nan.0 into +nan.0
23.034 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n
23.034 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n
23.034 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n
23.034 * [taylor]: Taking taylor expansion of 0.5 in n
23.034 * [backup-simplify]: Simplify 0.5 into 0.5
23.034 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n
23.034 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n
23.034 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n
23.034 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n
23.034 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n
23.034 * [taylor]: Taking taylor expansion of 1.0 in n
23.034 * [backup-simplify]: Simplify 1.0 into 1.0
23.034 * [taylor]: Taking taylor expansion of (log PI) in n
23.034 * [taylor]: Taking taylor expansion of PI in n
23.034 * [backup-simplify]: Simplify PI into PI
23.034 * [backup-simplify]: Simplify (log PI) into (log PI)
23.035 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI))
23.037 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0)
23.037 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n
23.037 * [taylor]: Taking taylor expansion of (pow n 1.0) in n
23.037 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n
23.037 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n
23.037 * [taylor]: Taking taylor expansion of 1.0 in n
23.037 * [backup-simplify]: Simplify 1.0 into 1.0
23.037 * [taylor]: Taking taylor expansion of (log n) in n
23.037 * [taylor]: Taking taylor expansion of n in n
23.037 * [backup-simplify]: Simplify 0 into 0
23.037 * [backup-simplify]: Simplify 1 into 1
23.037 * [backup-simplify]: Simplify (log 1) into 0
23.038 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
23.038 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n))
23.038 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0)
23.038 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n
23.038 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n
23.038 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n
23.038 * [taylor]: Taking taylor expansion of 1.0 in n
23.038 * [backup-simplify]: Simplify 1.0 into 1.0
23.038 * [taylor]: Taking taylor expansion of (log 2.0) in n
23.038 * [taylor]: Taking taylor expansion of 2.0 in n
23.038 * [backup-simplify]: Simplify 2.0 into 2.0
23.039 * [backup-simplify]: Simplify (log 2.0) into (log 2.0)
23.039 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0))
23.041 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0)
23.041 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)
23.042 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)
23.044 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))
23.045 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))
23.047 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (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) 0.5)
23.048 * [backup-simplify]: Simplify (* +nan.0 (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) 0.5)) into (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))
23.049 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))
23.050 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))
23.051 * [backup-simplify]: Simplify 0 into 0
23.051 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0
23.052 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (* n PI)))) into 0
23.054 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 2) into 0
23.054 * [backup-simplify]: Simplify (- 0) into 0
23.055 * [backup-simplify]: Simplify (+ 0 0) into 0
23.056 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0
23.057 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 (* n PI)))))) into 0
23.058 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log (* 2.0 (* n PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))
23.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
23.061 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
23.065 * [backup-simplify]: Simplify (+ (* 0 (* 0.125 (* (pow (log (* 2.0 (* n PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (+ (* +nan.0 (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (* +nan.0 (pow (* 2.0 (* n PI)) 0.5)))) into (- (+ (* +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))))))))
23.070 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +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))))))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0))) into (- (+ (* +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))))))))
23.070 * [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
23.070 * [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
23.070 * [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
23.070 * [taylor]: Taking taylor expansion of +nan.0 in n
23.070 * [backup-simplify]: Simplify +nan.0 into +nan.0
23.070 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n
23.070 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n
23.070 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n
23.070 * [taylor]: Taking taylor expansion of 0.5 in n
23.070 * [backup-simplify]: Simplify 0.5 into 0.5
23.070 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n
23.070 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n
23.070 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n
23.070 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n
23.070 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n
23.070 * [taylor]: Taking taylor expansion of 1.0 in n
23.070 * [backup-simplify]: Simplify 1.0 into 1.0
23.070 * [taylor]: Taking taylor expansion of (log PI) in n
23.070 * [taylor]: Taking taylor expansion of PI in n
23.070 * [backup-simplify]: Simplify PI into PI
23.071 * [backup-simplify]: Simplify (log PI) into (log PI)
23.072 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI))
23.073 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0)
23.073 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n
23.073 * [taylor]: Taking taylor expansion of (pow n 1.0) in n
23.073 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n
23.073 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n
23.073 * [taylor]: Taking taylor expansion of 1.0 in n
23.073 * [backup-simplify]: Simplify 1.0 into 1.0
23.073 * [taylor]: Taking taylor expansion of (log n) in n
23.074 * [taylor]: Taking taylor expansion of n in n
23.074 * [backup-simplify]: Simplify 0 into 0
23.074 * [backup-simplify]: Simplify 1 into 1
23.074 * [backup-simplify]: Simplify (log 1) into 0
23.074 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
23.074 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n))
23.074 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0)
23.075 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n
23.075 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n
23.075 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n
23.075 * [taylor]: Taking taylor expansion of 1.0 in n
23.075 * [backup-simplify]: Simplify 1.0 into 1.0
23.075 * [taylor]: Taking taylor expansion of (log 2.0) in n
23.075 * [taylor]: Taking taylor expansion of 2.0 in n
23.075 * [backup-simplify]: Simplify 2.0 into 2.0
23.075 * [backup-simplify]: Simplify (log 2.0) into (log 2.0)
23.076 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0))
23.077 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0)
23.078 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)
23.079 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)
23.080 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))
23.081 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))
23.083 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (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) 0.5)
23.083 * [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
23.083 * [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
23.083 * [taylor]: Taking taylor expansion of +nan.0 in n
23.083 * [backup-simplify]: Simplify +nan.0 into +nan.0
23.083 * [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
23.083 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n
23.083 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n
23.083 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n
23.083 * [taylor]: Taking taylor expansion of 0.5 in n
23.083 * [backup-simplify]: Simplify 0.5 into 0.5
23.083 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n
23.083 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n
23.083 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n
23.083 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n
23.083 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n
23.083 * [taylor]: Taking taylor expansion of 1.0 in n
23.083 * [backup-simplify]: Simplify 1.0 into 1.0
23.083 * [taylor]: Taking taylor expansion of (log 2.0) in n
23.083 * [taylor]: Taking taylor expansion of 2.0 in n
23.083 * [backup-simplify]: Simplify 2.0 into 2.0
23.084 * [backup-simplify]: Simplify (log 2.0) into (log 2.0)
23.085 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0))
23.086 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0)
23.086 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n
23.086 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n
23.086 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n
23.086 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n
23.086 * [taylor]: Taking taylor expansion of 1.0 in n
23.086 * [backup-simplify]: Simplify 1.0 into 1.0
23.086 * [taylor]: Taking taylor expansion of (log PI) in n
23.086 * [taylor]: Taking taylor expansion of PI in n
23.086 * [backup-simplify]: Simplify PI into PI
23.087 * [backup-simplify]: Simplify (log PI) into (log PI)
23.088 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI))
23.089 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0)
23.089 * [taylor]: Taking taylor expansion of (pow n 1.0) in n
23.089 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n
23.089 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n
23.089 * [taylor]: Taking taylor expansion of 1.0 in n
23.089 * [backup-simplify]: Simplify 1.0 into 1.0
23.089 * [taylor]: Taking taylor expansion of (log n) in n
23.089 * [taylor]: Taking taylor expansion of n in n
23.089 * [backup-simplify]: Simplify 0 into 0
23.089 * [backup-simplify]: Simplify 1 into 1
23.090 * [backup-simplify]: Simplify (log 1) into 0
23.090 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
23.090 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n))
23.090 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0)
23.091 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)
23.092 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)
23.094 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))
23.095 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))
23.107 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (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) 0.5)
23.107 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n
23.107 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n
23.107 * [taylor]: Taking taylor expansion of 2.0 in n
23.107 * [backup-simplify]: Simplify 2.0 into 2.0
23.107 * [taylor]: Taking taylor expansion of (* n PI) in n
23.107 * [taylor]: Taking taylor expansion of n in n
23.107 * [backup-simplify]: Simplify 0 into 0
23.107 * [backup-simplify]: Simplify 1 into 1
23.107 * [taylor]: Taking taylor expansion of PI in n
23.107 * [backup-simplify]: Simplify PI into PI
23.108 * [backup-simplify]: Simplify (* 0 PI) into 0
23.108 * [backup-simplify]: Simplify (* 2.0 0) into 0
23.110 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
23.111 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI)
23.112 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
23.114 * [backup-simplify]: Simplify (* +nan.0 (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) 0.5)) into (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))
23.115 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
23.117 * [backup-simplify]: Simplify (* (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) 0.5) (+ (log (* 2.0 PI)) (log n))) into (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))
23.118 * [backup-simplify]: Simplify (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))
23.120 * [backup-simplify]: Simplify (- (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))
23.125 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))) into (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))
23.132 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))) into (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))
23.138 * [backup-simplify]: Simplify (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) into (- (+ (* +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 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))
23.140 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0
23.140 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0
23.142 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0
23.143 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
23.144 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
23.144 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0
23.145 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0
23.146 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0
23.147 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
23.148 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0
23.150 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
23.151 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0
23.153 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1)))) 1) into 0
23.155 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)))) into 0
23.157 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
23.159 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (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) 0.5))) into 0
23.159 * [backup-simplify]: Simplify (- 0) into 0
23.159 * [backup-simplify]: Simplify 0 into 0
23.159 * [backup-simplify]: Simplify 0 into 0
23.160 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
23.162 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0
23.164 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 (* n PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 (* n PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 6) into 0
23.165 * [backup-simplify]: Simplify (- 0) into 0
23.165 * [backup-simplify]: Simplify (+ 0 0) into 0
23.166 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0
23.168 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 (* n PI))))))) into 0
23.170 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 3) 6)) (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (log (* 2.0 (* n PI))) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))
23.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
23.175 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
23.180 * [backup-simplify]: Simplify (+ (* 0 (* -0.020833333333333332 (* (pow (log (* 2.0 (* n PI))) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (+ (* +nan.0 (* 0.125 (* (pow (log (* 2.0 (* n PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (+ (* +nan.0 (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (* +nan.0 (pow (* 2.0 (* n PI)) 0.5))))) into (- (+ (* +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))))))))
23.190 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +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))))))))) (+ (* 0 (- (+ (* +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))))))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0)))) into (- (+ (* +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))))))))
23.191 * [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
23.191 * [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
23.191 * [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
23.191 * [taylor]: Taking taylor expansion of +nan.0 in n
23.191 * [backup-simplify]: Simplify +nan.0 into +nan.0
23.191 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n
23.191 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n
23.191 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n
23.191 * [taylor]: Taking taylor expansion of 0.5 in n
23.191 * [backup-simplify]: Simplify 0.5 into 0.5
23.191 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n
23.191 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n
23.191 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n
23.191 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n
23.191 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n
23.191 * [taylor]: Taking taylor expansion of 1.0 in n
23.191 * [backup-simplify]: Simplify 1.0 into 1.0
23.191 * [taylor]: Taking taylor expansion of (log 2.0) in n
23.191 * [taylor]: Taking taylor expansion of 2.0 in n
23.191 * [backup-simplify]: Simplify 2.0 into 2.0
23.192 * [backup-simplify]: Simplify (log 2.0) into (log 2.0)
23.192 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0))
23.194 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0)
23.194 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n
23.194 * [taylor]: Taking taylor expansion of (pow n 1.0) in n
23.194 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n
23.194 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n
23.194 * [taylor]: Taking taylor expansion of 1.0 in n
23.194 * [backup-simplify]: Simplify 1.0 into 1.0
23.194 * [taylor]: Taking taylor expansion of (log n) in n
23.194 * [taylor]: Taking taylor expansion of n in n
23.194 * [backup-simplify]: Simplify 0 into 0
23.194 * [backup-simplify]: Simplify 1 into 1
23.194 * [backup-simplify]: Simplify (log 1) into 0
23.195 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
23.195 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n))
23.195 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0)
23.195 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n
23.195 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n
23.195 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n
23.195 * [taylor]: Taking taylor expansion of 1.0 in n
23.195 * [backup-simplify]: Simplify 1.0 into 1.0
23.195 * [taylor]: Taking taylor expansion of (log PI) in n
23.195 * [taylor]: Taking taylor expansion of PI in n
23.195 * [backup-simplify]: Simplify PI into PI
23.196 * [backup-simplify]: Simplify (log PI) into (log PI)
23.196 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI))
23.198 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0)
23.199 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)
23.200 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)
23.201 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))
23.202 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))
23.204 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (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) 0.5)
23.204 * [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
23.204 * [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
23.204 * [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
23.204 * [taylor]: Taking taylor expansion of +nan.0 in n
23.204 * [backup-simplify]: Simplify +nan.0 into +nan.0
23.204 * [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
23.204 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n
23.204 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n
23.204 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n
23.204 * [taylor]: Taking taylor expansion of 0.5 in n
23.204 * [backup-simplify]: Simplify 0.5 into 0.5
23.204 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n
23.204 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n
23.204 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n
23.204 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n
23.204 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n
23.204 * [taylor]: Taking taylor expansion of 1.0 in n
23.204 * [backup-simplify]: Simplify 1.0 into 1.0
23.205 * [taylor]: Taking taylor expansion of (log 2.0) in n
23.205 * [taylor]: Taking taylor expansion of 2.0 in n
23.205 * [backup-simplify]: Simplify 2.0 into 2.0
23.205 * [backup-simplify]: Simplify (log 2.0) into (log 2.0)
23.206 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0))
23.208 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0)
23.208 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n
23.208 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n
23.208 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n
23.208 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n
23.208 * [taylor]: Taking taylor expansion of 1.0 in n
23.208 * [backup-simplify]: Simplify 1.0 into 1.0
23.208 * [taylor]: Taking taylor expansion of (log PI) in n
23.208 * [taylor]: Taking taylor expansion of PI in n
23.208 * [backup-simplify]: Simplify PI into PI
23.209 * [backup-simplify]: Simplify (log PI) into (log PI)
23.210 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI))
23.211 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0)
23.211 * [taylor]: Taking taylor expansion of (pow n 1.0) in n
23.212 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n
23.212 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n
23.212 * [taylor]: Taking taylor expansion of 1.0 in n
23.212 * [backup-simplify]: Simplify 1.0 into 1.0
23.212 * [taylor]: Taking taylor expansion of (log n) in n
23.212 * [taylor]: Taking taylor expansion of n in n
23.212 * [backup-simplify]: Simplify 0 into 0
23.212 * [backup-simplify]: Simplify 1 into 1
23.212 * [backup-simplify]: Simplify (log 1) into 0
23.213 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
23.213 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n))
23.213 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0)
23.214 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)
23.215 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)
23.217 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))
23.218 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))
23.220 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (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) 0.5)
23.220 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n
23.220 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n
23.220 * [taylor]: Taking taylor expansion of 2.0 in n
23.220 * [backup-simplify]: Simplify 2.0 into 2.0
23.220 * [taylor]: Taking taylor expansion of (* n PI) in n
23.220 * [taylor]: Taking taylor expansion of n in n
23.220 * [backup-simplify]: Simplify 0 into 0
23.220 * [backup-simplify]: Simplify 1 into 1
23.220 * [taylor]: Taking taylor expansion of PI in n
23.220 * [backup-simplify]: Simplify PI into PI
23.221 * [backup-simplify]: Simplify (* 0 PI) into 0
23.221 * [backup-simplify]: Simplify (* 2.0 0) into 0
23.223 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
23.225 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI)
23.226 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
23.226 * [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
23.226 * [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
23.226 * [taylor]: Taking taylor expansion of +nan.0 in n
23.226 * [backup-simplify]: Simplify +nan.0 into +nan.0
23.226 * [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
23.226 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n
23.227 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n
23.227 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n
23.227 * [taylor]: Taking taylor expansion of 0.5 in n
23.227 * [backup-simplify]: Simplify 0.5 into 0.5
23.227 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n
23.227 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n
23.227 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n
23.227 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n
23.227 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n
23.227 * [taylor]: Taking taylor expansion of 1.0 in n
23.227 * [backup-simplify]: Simplify 1.0 into 1.0
23.227 * [taylor]: Taking taylor expansion of (log 2.0) in n
23.227 * [taylor]: Taking taylor expansion of 2.0 in n
23.227 * [backup-simplify]: Simplify 2.0 into 2.0
23.227 * [backup-simplify]: Simplify (log 2.0) into (log 2.0)
23.228 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0))
23.230 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0)
23.230 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n
23.230 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n
23.230 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n
23.230 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n
23.230 * [taylor]: Taking taylor expansion of 1.0 in n
23.230 * [backup-simplify]: Simplify 1.0 into 1.0
23.230 * [taylor]: Taking taylor expansion of (log PI) in n
23.230 * [taylor]: Taking taylor expansion of PI in n
23.230 * [backup-simplify]: Simplify PI into PI
23.230 * [backup-simplify]: Simplify (log PI) into (log PI)
23.231 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI))
23.233 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0)
23.233 * [taylor]: Taking taylor expansion of (pow n 1.0) in n
23.233 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n
23.233 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n
23.233 * [taylor]: Taking taylor expansion of 1.0 in n
23.233 * [backup-simplify]: Simplify 1.0 into 1.0
23.233 * [taylor]: Taking taylor expansion of (log n) in n
23.233 * [taylor]: Taking taylor expansion of n in n
23.233 * [backup-simplify]: Simplify 0 into 0
23.233 * [backup-simplify]: Simplify 1 into 1
23.233 * [backup-simplify]: Simplify (log 1) into 0
23.234 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
23.234 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n))
23.234 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0)
23.235 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)
23.236 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)
23.239 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))
23.242 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))
23.243 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (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) 0.5)
23.243 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n
23.243 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n
23.243 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n
23.243 * [taylor]: Taking taylor expansion of 2.0 in n
23.243 * [backup-simplify]: Simplify 2.0 into 2.0
23.243 * [taylor]: Taking taylor expansion of (* n PI) in n
23.244 * [taylor]: Taking taylor expansion of n in n
23.244 * [backup-simplify]: Simplify 0 into 0
23.244 * [backup-simplify]: Simplify 1 into 1
23.244 * [taylor]: Taking taylor expansion of PI in n
23.244 * [backup-simplify]: Simplify PI into PI
23.244 * [backup-simplify]: Simplify (* 0 PI) into 0
23.245 * [backup-simplify]: Simplify (* 2.0 0) into 0
23.246 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
23.247 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI)
23.248 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
23.250 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
23.251 * [backup-simplify]: Simplify (* +nan.0 (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) 0.5)) into (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))
23.261 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
23.264 * [backup-simplify]: Simplify (* (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) 0.5) (+ (log (* 2.0 PI)) (log n))) into (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))
23.266 * [backup-simplify]: Simplify (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))
23.267 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
23.269 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
23.271 * [backup-simplify]: Simplify (* (+ (log (* 2.0 PI)) (log n)) (+ (log (* 2.0 PI)) (log n))) into (pow (+ (log (* 2.0 PI)) (log n)) 2)
23.273 * [backup-simplify]: Simplify (* (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) 0.5) (pow (+ (log (* 2.0 PI)) (log n)) 2)) into (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))
23.276 * [backup-simplify]: Simplify (* +nan.0 (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (* +nan.0 (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))
23.279 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) into (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 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))) (- (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))
23.289 * [backup-simplify]: Simplify (+ (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 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))) (- (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 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 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))))))))))
23.303 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 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 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 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))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))))))
23.318 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 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))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (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 (* (log (* 2.0 PI)) (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 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))))))))
23.335 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (log n) 2) (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 (* (log (* 2.0 PI)) (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 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (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 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 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))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))))))))
23.350 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (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 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 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))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (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 n 1.0) (pow PI 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))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))))))))
23.375 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (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 n 1.0) (pow PI 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))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) (pow (* 1 k) 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 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) (* 1 k)) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) into (- (+ (* +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))))))))))))))))))))))
23.376 * [backup-simplify]: Simplify (/ 1.0 (/ (sqrt (/ 1 k)) (pow (* (* 2.0 PI) (/ 1 n)) (/ (- 1.0 (/ 1 k)) 2.0)))) into (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))))
23.376 * [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
23.376 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n
23.376 * [taylor]: Taking taylor expansion of 1.0 in n
23.376 * [backup-simplify]: Simplify 1.0 into 1.0
23.376 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n
23.376 * [taylor]: Taking taylor expansion of (sqrt k) in n
23.376 * [taylor]: Taking taylor expansion of k in n
23.376 * [backup-simplify]: Simplify k into k
23.376 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
23.377 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
23.377 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n
23.377 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n
23.377 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n
23.377 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n
23.377 * [taylor]: Taking taylor expansion of 0.5 in n
23.377 * [backup-simplify]: Simplify 0.5 into 0.5
23.377 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n
23.377 * [taylor]: Taking taylor expansion of 1.0 in n
23.377 * [backup-simplify]: Simplify 1.0 into 1.0
23.377 * [taylor]: Taking taylor expansion of (/ 1 k) in n
23.377 * [taylor]: Taking taylor expansion of k in n
23.377 * [backup-simplify]: Simplify k into k
23.377 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
23.377 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n
23.377 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n
23.377 * [taylor]: Taking taylor expansion of 2.0 in n
23.377 * [backup-simplify]: Simplify 2.0 into 2.0
23.377 * [taylor]: Taking taylor expansion of (/ PI n) in n
23.377 * [taylor]: Taking taylor expansion of PI in n
23.377 * [backup-simplify]: Simplify PI into PI
23.377 * [taylor]: Taking taylor expansion of n in n
23.377 * [backup-simplify]: Simplify 0 into 0
23.377 * [backup-simplify]: Simplify 1 into 1
23.378 * [backup-simplify]: Simplify (/ PI 1) into PI
23.378 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
23.379 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
23.379 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
23.379 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k))
23.379 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k)))
23.381 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
23.382 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))
23.383 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))
23.384 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k
23.384 * [taylor]: Taking taylor expansion of 1.0 in k
23.384 * [backup-simplify]: Simplify 1.0 into 1.0
23.384 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k
23.384 * [taylor]: Taking taylor expansion of (sqrt k) in k
23.384 * [taylor]: Taking taylor expansion of k in k
23.384 * [backup-simplify]: Simplify 0 into 0
23.384 * [backup-simplify]: Simplify 1 into 1
23.384 * [backup-simplify]: Simplify (sqrt 0) into 0
23.386 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
23.386 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k
23.386 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k
23.386 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k
23.386 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k
23.386 * [taylor]: Taking taylor expansion of 0.5 in k
23.386 * [backup-simplify]: Simplify 0.5 into 0.5
23.386 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k
23.386 * [taylor]: Taking taylor expansion of 1.0 in k
23.386 * [backup-simplify]: Simplify 1.0 into 1.0
23.386 * [taylor]: Taking taylor expansion of (/ 1 k) in k
23.386 * [taylor]: Taking taylor expansion of k in k
23.386 * [backup-simplify]: Simplify 0 into 0
23.386 * [backup-simplify]: Simplify 1 into 1
23.386 * [backup-simplify]: Simplify (/ 1 1) into 1
23.386 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k
23.386 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k
23.386 * [taylor]: Taking taylor expansion of 2.0 in k
23.386 * [backup-simplify]: Simplify 2.0 into 2.0
23.386 * [taylor]: Taking taylor expansion of (/ PI n) in k
23.386 * [taylor]: Taking taylor expansion of PI in k
23.386 * [backup-simplify]: Simplify PI into PI
23.386 * [taylor]: Taking taylor expansion of n in k
23.386 * [backup-simplify]: Simplify n into n
23.387 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
23.387 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n))
23.387 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n)))
23.387 * [backup-simplify]: Simplify (- 1) into -1
23.387 * [backup-simplify]: Simplify (+ 0 -1) into -1
23.388 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5
23.388 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n))))
23.388 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))
23.388 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k
23.388 * [taylor]: Taking taylor expansion of 1.0 in k
23.388 * [backup-simplify]: Simplify 1.0 into 1.0
23.388 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k
23.388 * [taylor]: Taking taylor expansion of (sqrt k) in k
23.388 * [taylor]: Taking taylor expansion of k in k
23.389 * [backup-simplify]: Simplify 0 into 0
23.389 * [backup-simplify]: Simplify 1 into 1
23.389 * [backup-simplify]: Simplify (sqrt 0) into 0
23.390 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
23.390 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k
23.390 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k
23.390 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k
23.390 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k
23.390 * [taylor]: Taking taylor expansion of 0.5 in k
23.390 * [backup-simplify]: Simplify 0.5 into 0.5
23.390 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k
23.390 * [taylor]: Taking taylor expansion of 1.0 in k
23.390 * [backup-simplify]: Simplify 1.0 into 1.0
23.390 * [taylor]: Taking taylor expansion of (/ 1 k) in k
23.390 * [taylor]: Taking taylor expansion of k in k
23.390 * [backup-simplify]: Simplify 0 into 0
23.390 * [backup-simplify]: Simplify 1 into 1
23.391 * [backup-simplify]: Simplify (/ 1 1) into 1
23.391 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k
23.391 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k
23.391 * [taylor]: Taking taylor expansion of 2.0 in k
23.391 * [backup-simplify]: Simplify 2.0 into 2.0
23.391 * [taylor]: Taking taylor expansion of (/ PI n) in k
23.391 * [taylor]: Taking taylor expansion of PI in k
23.391 * [backup-simplify]: Simplify PI into PI
23.391 * [taylor]: Taking taylor expansion of n in k
23.391 * [backup-simplify]: Simplify n into n
23.391 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
23.391 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n))
23.391 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n)))
23.392 * [backup-simplify]: Simplify (- 1) into -1
23.392 * [backup-simplify]: Simplify (+ 0 -1) into -1
23.392 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5
23.393 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n))))
23.393 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))
23.393 * [backup-simplify]: Simplify (* 0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) into 0
23.394 * [backup-simplify]: Simplify (* 1.0 0) into 0
23.394 * [taylor]: Taking taylor expansion of 0 in n
23.394 * [backup-simplify]: Simplify 0 into 0
23.394 * [backup-simplify]: Simplify 0 into 0
23.394 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))
23.395 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (* 0 0)) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))
23.395 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n
23.395 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n
23.395 * [taylor]: Taking taylor expansion of +nan.0 in n
23.395 * [backup-simplify]: Simplify +nan.0 into +nan.0
23.395 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n
23.395 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n
23.395 * [taylor]: Taking taylor expansion of 0.5 in n
23.395 * [backup-simplify]: Simplify 0.5 into 0.5
23.395 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n
23.395 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n
23.395 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n
23.395 * [taylor]: Taking taylor expansion of 2.0 in n
23.395 * [backup-simplify]: Simplify 2.0 into 2.0
23.396 * [taylor]: Taking taylor expansion of (/ PI n) in n
23.396 * [taylor]: Taking taylor expansion of PI in n
23.396 * [backup-simplify]: Simplify PI into PI
23.396 * [taylor]: Taking taylor expansion of n in n
23.396 * [backup-simplify]: Simplify 0 into 0
23.396 * [backup-simplify]: Simplify 1 into 1
23.396 * [backup-simplify]: Simplify (/ PI 1) into PI
23.397 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
23.398 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
23.398 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n
23.398 * [taylor]: Taking taylor expansion of 1.0 in n
23.398 * [backup-simplify]: Simplify 1.0 into 1.0
23.398 * [taylor]: Taking taylor expansion of (/ 1 k) in n
23.398 * [taylor]: Taking taylor expansion of k in n
23.398 * [backup-simplify]: Simplify k into k
23.398 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
23.406 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
23.406 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
23.406 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k))
23.408 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))
23.409 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))
23.410 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))
23.411 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))
23.413 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))
23.414 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))
23.414 * [backup-simplify]: Simplify 0 into 0
23.417 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
23.418 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))
23.419 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (* 0 0))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))
23.419 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n
23.419 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n
23.419 * [taylor]: Taking taylor expansion of +nan.0 in n
23.419 * [backup-simplify]: Simplify +nan.0 into +nan.0
23.419 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n
23.419 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n
23.419 * [taylor]: Taking taylor expansion of 0.5 in n
23.419 * [backup-simplify]: Simplify 0.5 into 0.5
23.419 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n
23.419 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n
23.419 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n
23.419 * [taylor]: Taking taylor expansion of 2.0 in n
23.419 * [backup-simplify]: Simplify 2.0 into 2.0
23.419 * [taylor]: Taking taylor expansion of (/ PI n) in n
23.419 * [taylor]: Taking taylor expansion of PI in n
23.419 * [backup-simplify]: Simplify PI into PI
23.419 * [taylor]: Taking taylor expansion of n in n
23.419 * [backup-simplify]: Simplify 0 into 0
23.419 * [backup-simplify]: Simplify 1 into 1
23.420 * [backup-simplify]: Simplify (/ PI 1) into PI
23.420 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
23.421 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
23.421 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n
23.421 * [taylor]: Taking taylor expansion of 1.0 in n
23.421 * [backup-simplify]: Simplify 1.0 into 1.0
23.421 * [taylor]: Taking taylor expansion of (/ 1 k) in n
23.421 * [taylor]: Taking taylor expansion of k in n
23.421 * [backup-simplify]: Simplify k into k
23.422 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
23.423 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
23.423 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
23.423 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k))
23.424 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))
23.426 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))
23.427 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))
23.428 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))
23.429 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))
23.430 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))
23.432 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
23.432 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
23.432 * [backup-simplify]: Simplify (- 0) into 0
23.433 * [backup-simplify]: Simplify (+ 0 0) into 0
23.434 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
23.434 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0
23.436 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0
23.437 * [backup-simplify]: Simplify (+ (* (- (log (* 2.0 PI)) (log n)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0
23.439 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into 0
23.441 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0
23.442 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into 0
23.443 * [backup-simplify]: Simplify (- 0) into 0
23.443 * [backup-simplify]: Simplify 0 into 0
23.443 * [backup-simplify]: Simplify 0 into 0
23.446 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
23.448 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))
23.449 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (* 0 0)))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))
23.449 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n
23.449 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n
23.449 * [taylor]: Taking taylor expansion of +nan.0 in n
23.449 * [backup-simplify]: Simplify +nan.0 into +nan.0
23.450 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n
23.450 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n
23.450 * [taylor]: Taking taylor expansion of 0.5 in n
23.450 * [backup-simplify]: Simplify 0.5 into 0.5
23.450 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n
23.450 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n
23.450 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n
23.450 * [taylor]: Taking taylor expansion of 2.0 in n
23.450 * [backup-simplify]: Simplify 2.0 into 2.0
23.450 * [taylor]: Taking taylor expansion of (/ PI n) in n
23.450 * [taylor]: Taking taylor expansion of PI in n
23.450 * [backup-simplify]: Simplify PI into PI
23.450 * [taylor]: Taking taylor expansion of n in n
23.450 * [backup-simplify]: Simplify 0 into 0
23.450 * [backup-simplify]: Simplify 1 into 1
23.451 * [backup-simplify]: Simplify (/ PI 1) into PI
23.451 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
23.452 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
23.452 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n
23.452 * [taylor]: Taking taylor expansion of 1.0 in n
23.452 * [backup-simplify]: Simplify 1.0 into 1.0
23.452 * [taylor]: Taking taylor expansion of (/ 1 k) in n
23.452 * [taylor]: Taking taylor expansion of k in n
23.452 * [backup-simplify]: Simplify k into k
23.452 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
23.453 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
23.454 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
23.454 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k))
23.455 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))
23.456 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))
23.457 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))
23.458 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))
23.459 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))
23.461 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))
23.465 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2))))))))
23.466 * [backup-simplify]: Simplify (/ 1.0 (/ (sqrt (/ 1 (- k))) (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (- 1.0 (/ 1 (- k))) 2.0)))) into (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))))
23.466 * [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
23.466 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n
23.466 * [taylor]: Taking taylor expansion of 1.0 in n
23.466 * [backup-simplify]: Simplify 1.0 into 1.0
23.466 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n
23.466 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n
23.466 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n
23.466 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n
23.466 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n
23.466 * [taylor]: Taking taylor expansion of 0.5 in n
23.466 * [backup-simplify]: Simplify 0.5 into 0.5
23.466 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n
23.466 * [taylor]: Taking taylor expansion of (/ 1 k) in n
23.466 * [taylor]: Taking taylor expansion of k in n
23.466 * [backup-simplify]: Simplify k into k
23.467 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
23.467 * [taylor]: Taking taylor expansion of 1.0 in n
23.467 * [backup-simplify]: Simplify 1.0 into 1.0
23.467 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n
23.467 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n
23.467 * [taylor]: Taking taylor expansion of -2.0 in n
23.467 * [backup-simplify]: Simplify -2.0 into -2.0
23.467 * [taylor]: Taking taylor expansion of (/ PI n) in n
23.467 * [taylor]: Taking taylor expansion of PI in n
23.467 * [backup-simplify]: Simplify PI into PI
23.467 * [taylor]: Taking taylor expansion of n in n
23.467 * [backup-simplify]: Simplify 0 into 0
23.467 * [backup-simplify]: Simplify 1 into 1
23.467 * [backup-simplify]: Simplify (/ PI 1) into PI
23.468 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
23.469 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI))
23.469 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0)
23.469 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0))
23.471 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
23.472 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))
23.473 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))
23.473 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
23.473 * [taylor]: Taking taylor expansion of (/ -1 k) in n
23.473 * [taylor]: Taking taylor expansion of -1 in n
23.473 * [backup-simplify]: Simplify -1 into -1
23.473 * [taylor]: Taking taylor expansion of k in n
23.473 * [backup-simplify]: Simplify k into k
23.473 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
23.473 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
23.473 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
23.474 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
23.475 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k)))
23.475 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k
23.475 * [taylor]: Taking taylor expansion of 1.0 in k
23.475 * [backup-simplify]: Simplify 1.0 into 1.0
23.475 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k
23.475 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k
23.475 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k
23.475 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k
23.475 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k
23.475 * [taylor]: Taking taylor expansion of 0.5 in k
23.475 * [backup-simplify]: Simplify 0.5 into 0.5
23.475 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k
23.475 * [taylor]: Taking taylor expansion of (/ 1 k) in k
23.475 * [taylor]: Taking taylor expansion of k in k
23.475 * [backup-simplify]: Simplify 0 into 0
23.475 * [backup-simplify]: Simplify 1 into 1
23.476 * [backup-simplify]: Simplify (/ 1 1) into 1
23.476 * [taylor]: Taking taylor expansion of 1.0 in k
23.476 * [backup-simplify]: Simplify 1.0 into 1.0
23.476 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k
23.476 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k
23.476 * [taylor]: Taking taylor expansion of -2.0 in k
23.476 * [backup-simplify]: Simplify -2.0 into -2.0
23.476 * [taylor]: Taking taylor expansion of (/ PI n) in k
23.476 * [taylor]: Taking taylor expansion of PI in k
23.476 * [backup-simplify]: Simplify PI into PI
23.476 * [taylor]: Taking taylor expansion of n in k
23.476 * [backup-simplify]: Simplify n into n
23.476 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
23.476 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n))
23.477 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n)))
23.477 * [backup-simplify]: Simplify (+ 1 0) into 1
23.478 * [backup-simplify]: Simplify (* 0.5 1) into 0.5
23.478 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n))))
23.478 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))
23.478 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
23.478 * [taylor]: Taking taylor expansion of (/ -1 k) in k
23.478 * [taylor]: Taking taylor expansion of -1 in k
23.478 * [backup-simplify]: Simplify -1 into -1
23.478 * [taylor]: Taking taylor expansion of k in k
23.478 * [backup-simplify]: Simplify 0 into 0
23.478 * [backup-simplify]: Simplify 1 into 1
23.479 * [backup-simplify]: Simplify (/ -1 1) into -1
23.479 * [backup-simplify]: Simplify (sqrt 0) into 0
23.480 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
23.480 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))
23.481 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k
23.481 * [taylor]: Taking taylor expansion of 1.0 in k
23.481 * [backup-simplify]: Simplify 1.0 into 1.0
23.481 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k
23.481 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k
23.481 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k
23.481 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k
23.481 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k
23.481 * [taylor]: Taking taylor expansion of 0.5 in k
23.481 * [backup-simplify]: Simplify 0.5 into 0.5
23.481 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k
23.481 * [taylor]: Taking taylor expansion of (/ 1 k) in k
23.481 * [taylor]: Taking taylor expansion of k in k
23.481 * [backup-simplify]: Simplify 0 into 0
23.481 * [backup-simplify]: Simplify 1 into 1
23.481 * [backup-simplify]: Simplify (/ 1 1) into 1
23.481 * [taylor]: Taking taylor expansion of 1.0 in k
23.481 * [backup-simplify]: Simplify 1.0 into 1.0
23.481 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k
23.481 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k
23.481 * [taylor]: Taking taylor expansion of -2.0 in k
23.481 * [backup-simplify]: Simplify -2.0 into -2.0
23.481 * [taylor]: Taking taylor expansion of (/ PI n) in k
23.482 * [taylor]: Taking taylor expansion of PI in k
23.482 * [backup-simplify]: Simplify PI into PI
23.482 * [taylor]: Taking taylor expansion of n in k
23.482 * [backup-simplify]: Simplify n into n
23.482 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
23.482 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n))
23.482 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n)))
23.482 * [backup-simplify]: Simplify (+ 1 0) into 1
23.483 * [backup-simplify]: Simplify (* 0.5 1) into 0.5
23.483 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n))))
23.483 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))
23.483 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
23.483 * [taylor]: Taking taylor expansion of (/ -1 k) in k
23.483 * [taylor]: Taking taylor expansion of -1 in k
23.483 * [backup-simplify]: Simplify -1 into -1
23.483 * [taylor]: Taking taylor expansion of k in k
23.483 * [backup-simplify]: Simplify 0 into 0
23.483 * [backup-simplify]: Simplify 1 into 1
23.484 * [backup-simplify]: Simplify (/ -1 1) into -1
23.484 * [backup-simplify]: Simplify (sqrt 0) into 0
23.485 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
23.486 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))
23.486 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))
23.486 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n
23.486 * [taylor]: Taking taylor expansion of +nan.0 in n
23.486 * [backup-simplify]: Simplify +nan.0 into +nan.0
23.486 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n
23.486 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n
23.486 * [taylor]: Taking taylor expansion of 0.5 in n
23.486 * [backup-simplify]: Simplify 0.5 into 0.5
23.486 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n
23.487 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n
23.487 * [taylor]: Taking taylor expansion of (/ 1 k) in n
23.487 * [taylor]: Taking taylor expansion of k in n
23.487 * [backup-simplify]: Simplify k into k
23.487 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
23.487 * [taylor]: Taking taylor expansion of 1.0 in n
23.487 * [backup-simplify]: Simplify 1.0 into 1.0
23.487 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n
23.487 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n
23.487 * [taylor]: Taking taylor expansion of -2.0 in n
23.487 * [backup-simplify]: Simplify -2.0 into -2.0
23.487 * [taylor]: Taking taylor expansion of (/ PI n) in n
23.487 * [taylor]: Taking taylor expansion of PI in n
23.487 * [backup-simplify]: Simplify PI into PI
23.487 * [taylor]: Taking taylor expansion of n in n
23.487 * [backup-simplify]: Simplify 0 into 0
23.487 * [backup-simplify]: Simplify 1 into 1
23.487 * [backup-simplify]: Simplify (/ PI 1) into PI
23.488 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
23.489 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI))
23.489 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0)
23.490 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
23.492 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))
23.493 * [backup-simplify]: Simplify (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))
23.494 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))
23.495 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))
23.496 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))
23.497 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
23.500 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
23.501 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))
23.502 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))
23.502 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n
23.502 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n
23.502 * [taylor]: Taking taylor expansion of +nan.0 in n
23.502 * [backup-simplify]: Simplify +nan.0 into +nan.0
23.502 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n
23.502 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n
23.502 * [taylor]: Taking taylor expansion of 0.5 in n
23.502 * [backup-simplify]: Simplify 0.5 into 0.5
23.502 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n
23.502 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n
23.502 * [taylor]: Taking taylor expansion of (/ 1 k) in n
23.502 * [taylor]: Taking taylor expansion of k in n
23.502 * [backup-simplify]: Simplify k into k
23.502 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
23.502 * [taylor]: Taking taylor expansion of 1.0 in n
23.502 * [backup-simplify]: Simplify 1.0 into 1.0
23.502 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n
23.502 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n
23.502 * [taylor]: Taking taylor expansion of -2.0 in n
23.502 * [backup-simplify]: Simplify -2.0 into -2.0
23.502 * [taylor]: Taking taylor expansion of (/ PI n) in n
23.502 * [taylor]: Taking taylor expansion of PI in n
23.502 * [backup-simplify]: Simplify PI into PI
23.502 * [taylor]: Taking taylor expansion of n in n
23.502 * [backup-simplify]: Simplify 0 into 0
23.502 * [backup-simplify]: Simplify 1 into 1
23.503 * [backup-simplify]: Simplify (/ PI 1) into PI
23.503 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
23.504 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI))
23.504 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0)
23.506 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
23.507 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))
23.508 * [backup-simplify]: Simplify (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))
23.509 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))
23.510 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))
23.512 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))))
23.513 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))))
23.514 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
23.514 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0
23.516 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0
23.516 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
23.516 * [backup-simplify]: Simplify (+ 0 0) into 0
23.518 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
23.519 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0
23.520 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into 0
23.522 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
23.524 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into 0
23.524 * [backup-simplify]: Simplify 0 into 0
23.525 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
23.528 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
23.530 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))
23.531 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))
23.531 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n
23.531 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n
23.531 * [taylor]: Taking taylor expansion of +nan.0 in n
23.531 * [backup-simplify]: Simplify +nan.0 into +nan.0
23.531 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n
23.531 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n
23.531 * [taylor]: Taking taylor expansion of 0.5 in n
23.531 * [backup-simplify]: Simplify 0.5 into 0.5
23.531 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n
23.532 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n
23.532 * [taylor]: Taking taylor expansion of (/ 1 k) in n
23.532 * [taylor]: Taking taylor expansion of k in n
23.532 * [backup-simplify]: Simplify k into k
23.532 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
23.532 * [taylor]: Taking taylor expansion of 1.0 in n
23.532 * [backup-simplify]: Simplify 1.0 into 1.0
23.532 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n
23.532 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n
23.532 * [taylor]: Taking taylor expansion of -2.0 in n
23.532 * [backup-simplify]: Simplify -2.0 into -2.0
23.532 * [taylor]: Taking taylor expansion of (/ PI n) in n
23.532 * [taylor]: Taking taylor expansion of PI in n
23.532 * [backup-simplify]: Simplify PI into PI
23.532 * [taylor]: Taking taylor expansion of n in n
23.532 * [backup-simplify]: Simplify 0 into 0
23.532 * [backup-simplify]: Simplify 1 into 1
23.532 * [backup-simplify]: Simplify (/ PI 1) into PI
23.533 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
23.534 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI))
23.534 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0)
23.535 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
23.536 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))
23.537 * [backup-simplify]: Simplify (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))
23.539 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))
23.540 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))
23.541 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))))
23.542 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))))
23.554 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))))))))
23.554 * * * [progress]: simplifying candidates
23.563 * [simplify]: Simplifying:
  (expm1 (* (* 2.0 PI) n))
  (log1p (* (* 2.0 PI) n))
  (* (* 2.0 PI) n)
  (* (* 2.0 PI) n)
  (+ (+ (log 2.0) (log PI)) (log n))
  (+ (log (* 2.0 PI)) (log n))
  (log (* (* 2.0 PI) n))
  (exp (* (* 2.0 PI) n))
  (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n))
  (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n))
  (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n)))
  (cbrt (* (* 2.0 PI) n))
  (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n))
  (sqrt (* (* 2.0 PI) n))
  (sqrt (* (* 2.0 PI) n))
  (* (* 2.0 PI) (* (cbrt n) (cbrt n)))
  (* (* 2.0 PI) (sqrt n))
  (* (* 2.0 PI) 1)
  (* PI n)
  (expm1 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (log1p (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (- (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)))
  (- (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)))
  (- (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)))
  (- (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)))
  (- (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (log (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (exp (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (* (cbrt (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (cbrt (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (* (* (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (sqrt (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (sqrt (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (- (sqrt k))
  (- (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))
  (/ (cbrt (sqrt k)) (pow n (/ (- 1.0 k) 2.0)))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (cbrt (sqrt k)) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (cbrt (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)
  (/ (cbrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (/ (cbrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))
  (/ (sqrt (cbrt k)) (pow n (/ (- 1.0 k) 2.0)))
  (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (sqrt (cbrt k)) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (sqrt (cbrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (sqrt (* (cbrt k) (cbrt k))) 1)
  (/ (sqrt (cbrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (/ (sqrt (cbrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (/ (sqrt (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))
  (/ (sqrt (sqrt k)) (pow n (/ (- 1.0 k) 2.0)))
  (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (sqrt (sqrt k)) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (sqrt (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (sqrt (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (sqrt (sqrt k)) 1)
  (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (/ (sqrt 1) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))
  (/ (sqrt k) (pow n (/ (- 1.0 k) 2.0)))
  (/ (sqrt 1) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (sqrt k) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (sqrt 1) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (sqrt k) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (sqrt 1) 1)
  (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (/ (sqrt 1) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (/ (sqrt (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))
  (/ (sqrt (sqrt k)) (pow n (/ (- 1.0 k) 2.0)))
  (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (sqrt (sqrt k)) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (sqrt (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (sqrt (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (sqrt (sqrt k)) 1)
  (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (/ 1 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))
  (/ (sqrt k) (pow n (/ (- 1.0 k) 2.0)))
  (/ 1 (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (sqrt k) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ 1 (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (sqrt k) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ 1 1)
  (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (/ 1 (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (/ 1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k))
  (/ (sqrt k) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))
  (/ (sqrt k) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (sqrt k) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (sqrt k) 1)
  (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (cbrt (sqrt k)))
  (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (cbrt k)))
  (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k)))
  (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k))
  (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k)))
  (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k))
  (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))
  (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))
  (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))
  (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))
  (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))
  (* 1 (/ (- 1.0 k) 2.0))
  (* 1 (/ (- 1.0 k) 2.0))
  (* 1 (/ (- 1.0 k) 2.0))
  (pow (* (* 2.0 PI) n) (/ 1.0 2.0))
  (pow (* (* 2.0 PI) n) (/ k 2.0))
  (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))))
  (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0)))
  (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)))
  (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1))
  (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0)))
  (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1))
  (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0)))
  (pow (* (* 2.0 PI) n) (/ 1 1))
  (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)))
  (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))
  (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0)))
  (pow (* (* 2.0 PI) n) (/ 1 1))
  (pow (* (* 2.0 PI) n) 1)
  (pow (* (* 2.0 PI) n) (- 1.0 k))
  (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))
  (pow n (/ (- 1.0 k) 2.0))
  (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))
  (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))
  (expm1 (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (log1p (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (- (log 1.0) (- (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))))
  (- (log 1.0) (- (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))))
  (- (log 1.0) (- (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))))
  (- (log 1.0) (- (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))))
  (- (log 1.0) (- (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (- (log 1.0) (log (/ (sqrt k) (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 (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (* (* 1.0 1.0) 1.0) (* (* (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (* (cbrt (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))
  (cbrt (/ 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)))) (/ 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)))))
  (sqrt (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (sqrt (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (- 1.0)
  (- (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))
  (/ (cbrt 1.0) (cbrt (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (/ (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) (cbrt 1.0)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))
  (/ (cbrt 1.0) (/ (cbrt (sqrt k)) (pow n (/ (- 1.0 k) 2.0))))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))
  (/ (cbrt 1.0) (/ (cbrt (sqrt k)) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (cbrt 1.0) (/ (cbrt (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
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  (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))
  (/ 1 1)
  (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ 1 (sqrt k))
  (/ 1.0 (/ 1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ 1 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))
  (/ 1.0 (pow (* (* 2.0 PI) n) (/ k 2.0)))
  (/ 1 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 1.0)
  (/ 1.0 (* (cbrt (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))
  (/ 1.0 (sqrt (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ 1.0 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))
  (/ 1.0 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))
  (/ 1.0 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ 1.0 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1))
  (/ 1.0 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))
  (/ 1.0 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))
  (/ 1.0 (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))
  (/ 1.0 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ 1.0 (/ (sqrt (* (cbrt k) (cbrt k))) 1))
  (/ 1.0 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))
  (/ 1.0 (/ (sqrt (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))
  (/ 1.0 (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))
  (/ 1.0 (/ (sqrt (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ 1.0 (/ (sqrt (sqrt k)) 1))
  (/ 1.0 (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))
  (/ 1.0 (/ (sqrt 1) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))
  (/ 1.0 (/ (sqrt 1) (* (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 1) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ 1.0 (/ (sqrt 1) 1))
  (/ 1.0 (/ (sqrt 1) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))
  (/ 1.0 (/ (sqrt (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))
  (/ 1.0 (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))
  (/ 1.0 (/ (sqrt (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ 1.0 (/ (sqrt (sqrt k)) 1))
  (/ 1.0 (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))
  (/ 1.0 (/ 1 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))
  (/ 1.0 (/ 1 (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))
  (/ 1.0 (/ 1 (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ 1.0 (/ 1 1))
  (/ 1.0 (/ 1 (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))
  (/ 1.0 1)
  (/ 1.0 (sqrt k))
  (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))
  (/ (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt 1.0))
  (/ (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt 1.0))
  (/ (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 1.0)
  (/ 1.0 (sqrt k))
  (* 2.0 (* n PI))
  (* 2.0 (* n PI))
  (* 2.0 (* n PI))
  (- (+ (* +nan.0 (* (pow k 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 3) (pow (log (* 2.0 PI)) 2)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (+ (* +nan.0 (* (pow k 3) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 3) (pow (log (* 2.0 PI)) 2)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 3) (log (* 2.0 PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* k (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 3) (log n)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 3) (pow (log n) 2)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log n)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5))) (- (* +nan.0 (* (* (pow k 3) (* (log (* 2.0 PI)) (log n))) (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5))))))))))))))))))))))))
  (- (+ (* +nan.0 (/ 1 (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k))))))) (- (+ (* +nan.0 (/ 1 (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k))))))) (- (* +nan.0 (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))))))))))
  (- (+ (* +nan.0 (/ 1 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (- (+ (* +nan.0 (/ 1 (* k (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))))) (- (* +nan.0 (/ 1 (* (pow k 2) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))))))))))
  (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))))
  (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k))))
  (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))
  (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))))))))))))))
  (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2))))))))
  (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))))))))
23.583 * * [simplify]: Extracting # 0 : cost  0
23.584 * * [simplify]: Extracting # 1 : cost  0
23.586 * * [simplify]: Extracting # 2 : cost  0
23.587 * * [simplify]: Extracting # 3 : cost  0
23.589 * * [simplify]: Extracting # 4 : cost  0
23.591 * * [simplify]: Extracting # 5 : cost  0
23.594 * * [simplify]: Extracting # 6 : cost  0
23.597 * * [simplify]: Extracting # 7 : cost  0
23.599 * * [simplify]: Extracting # 8 : cost  0
23.602 * * [simplify]: Extracting # 9 : cost  0
23.604 * * [simplify]: Extracting # 10 : cost  0
23.606 * * [simplify]: Extracting # 11 : cost  0
23.608 * * [simplify]: Extracting # 12 : cost  0
23.610 * * [simplify]: Extracting # 13 : cost  0
23.612 * * [simplify]: Extracting # 14 : cost  0
23.614 * * [simplify]: Extracting # 15 : cost  0
23.616 * * [simplify]: Extracting # 16 : cost  0
23.618 * * [simplify]: Extracting # 17 : cost  0
23.620 * * [simplify]: Extracting # 18 : cost  0
23.622 * * [simplify]: Extracting # 19 : cost  0
23.624 * * [simplify]: Extracting # 20 : cost  0
23.627 * * [simplify]: Extracting # 21 : cost  0
23.629 * * [simplify]: Extracting # 22 : cost  0
23.631 * * [simplify]: Extracting # 23 : cost  0
23.633 * * [simplify]: Extracting # 24 : cost  0
23.635 * * [simplify]: Extracting # 25 : cost  0
23.638 * * [simplify]: Extracting # 26 : cost  0
23.640 * * [simplify]: Extracting # 27 : cost  0
23.642 * * [simplify]: Extracting # 28 : cost  0
23.651 * * [simplify]: Extracting # 29 : cost  0
23.653 * * [simplify]: Extracting # 30 : cost  0
23.655 * * [simplify]: Extracting # 31 : cost  0
23.657 * * [simplify]: Extracting # 32 : cost  0
23.659 * * [simplify]: Extracting # 33 : cost  0
23.662 * * [simplify]: Extracting # 34 : cost  0
23.664 * * [simplify]: Extracting # 35 : cost  0
23.666 * * [simplify]: Extracting # 36 : cost  0
23.668 * * [simplify]: Extracting # 37 : cost  0
23.670 * * [simplify]: Extracting # 38 : cost  0
23.672 * * [simplify]: iteration  0 :  610  enodes  (cost  8136 )
24.063 * * [simplify]: Extracting # 0 : cost  0
24.068 * * [simplify]: Extracting # 1 : cost  0
24.073 * * [simplify]: Extracting # 2 : cost  0
24.079 * * [simplify]: Extracting # 3 : cost  0
24.084 * * [simplify]: Extracting # 4 : cost  0
24.089 * * [simplify]: Extracting # 5 : cost  0
24.094 * * [simplify]: Extracting # 6 : cost  0
24.099 * * [simplify]: Extracting # 7 : cost  0
24.104 * * [simplify]: iteration  1 :  1752  enodes  (cost  7785 )
24.873 * * [simplify]: Extracting # 0 : cost  0
24.884 * * [simplify]: Extracting # 1 : cost  0
24.899 * * [simplify]: Extracting # 2 : cost  0
24.925 * * [simplify]: Extracting # 3 : cost  0
24.939 * * [simplify]: Extracting # 4 : cost  0
24.953 * * [simplify]: Extracting # 5 : cost  0
24.966 * * [simplify]: Extracting # 6 : cost  0
24.980 * * [simplify]: iteration done:  5000  enodes  (cost  7511 )
24.985 * [simplify]: Simplified to:
  (expm1 (* (* 2.0 PI) n))
  (log1p (* (* 2.0 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 n 3) (* (pow 2.0 3) (pow PI 3)))
  (* (pow n 3) (pow (* 2.0 PI) 3))
  (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n)))
  (cbrt (* (* 2.0 PI) n))
  (pow (* (* 2.0 PI) n) 3)
  (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)
  (* n PI)
  (expm1 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (log1p (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (log (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (log (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (log (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (log (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (log (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (log (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (exp (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (* (sqrt k) k) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3))
  (* (cbrt (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (cbrt (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (pow (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3)
  (sqrt (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (sqrt (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (- (sqrt k))
  (- (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))
  (/ (cbrt (sqrt k)) (pow n (/ (- 1.0 k) 2.0)))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (cbrt (sqrt k)) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (cbrt (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (* (cbrt (sqrt k)) (cbrt (sqrt k)))
  (/ (cbrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (/ (cbrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (/ (fabs (cbrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))
  (/ (sqrt (cbrt k)) (pow n (/ (- 1.0 k) 2.0)))
  (/ (fabs (cbrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (sqrt (cbrt k)) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (fabs (cbrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (sqrt (cbrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (fabs (cbrt k))
  (/ (sqrt (cbrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (/ (fabs (cbrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (/ (sqrt (cbrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (/ (sqrt (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))
  (/ (sqrt (sqrt k)) (pow n (/ (- 1.0 k) 2.0)))
  (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (sqrt (sqrt k)) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (sqrt (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (sqrt (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (sqrt (sqrt k))
  (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (/ 1 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))
  (/ (sqrt k) (pow n (/ (- 1.0 k) 2.0)))
  (/ 1 (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (sqrt k) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ 1 (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (sqrt k) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  1
  (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (/ 1 (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (/ (sqrt (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))
  (/ (sqrt (sqrt k)) (pow n (/ (- 1.0 k) 2.0)))
  (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (sqrt (sqrt k)) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (sqrt (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (sqrt (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (sqrt (sqrt k))
  (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (/ 1 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))
  (/ (sqrt k) (pow n (/ (- 1.0 k) 2.0)))
  (/ 1 (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (sqrt k) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ 1 (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (sqrt k) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  1
  (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (/ 1 (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (/ 1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k))
  (/ (sqrt k) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))
  (/ (sqrt k) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (sqrt k) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (sqrt k)
  (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (cbrt (sqrt k)))
  (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (cbrt k)))
  (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k)))
  (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k))
  (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k)))
  (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k))
  (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))
  (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))
  (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))
  (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))
  (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))
  (/ (- 1.0 k) 2.0)
  (/ (- 1.0 k) 2.0)
  (/ (- 1.0 k) 2.0)
  (pow (* (* 2.0 PI) n) (/ 1.0 2.0))
  (pow (* (* 2.0 PI) n) (/ k 2.0))
  (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))))
  (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0)))
  (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)))
  (pow (* 2.0 (* n PI)) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))))
  (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 (* n PI)) (sqrt (- 1.0 k)))
  (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0)))
  (* (* 2.0 PI) n)
  (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)))
  (pow (* (* PI n) 2.0) (+ (sqrt 1.0) (sqrt k)))
  (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0)))
  (* (* 2.0 PI) n)
  (* (* 2.0 PI) n)
  (pow (* (* 2.0 PI) n) (- 1.0 k))
  (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))
  (pow n (/ (- 1.0 k) 2.0))
  (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))
  (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3)
  (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))
  (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))
  (expm1 (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (log1p (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (log (/ 1.0 (/ (sqrt k) (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)))))
  (log (/ 1.0 (/ (sqrt k) (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)))))
  (log (/ 1.0 (/ (sqrt k) (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)))))
  (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)))))
  (* (/ (pow 1.0 3) (* (sqrt k) k)) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3))
  (/ (pow 1.0 3) (pow (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3))
  (* (cbrt (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))
  (cbrt (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (pow (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) 3)
  (sqrt (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (sqrt (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (- 1.0)
  (- (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
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  (/ (cbrt 1.0) (cbrt (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (/ (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) (cbrt 1.0)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))
  (/ (cbrt 1.0) (/ (cbrt (sqrt k)) (pow n (/ (- 1.0 k) 2.0))))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))
  (/ (cbrt 1.0) (/ (cbrt (sqrt k)) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (cbrt 1.0) (/ (cbrt (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (cbrt 1.0) (/ (cbrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))
  (/ (cbrt 1.0) (/ (cbrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))
  (* (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))
  (/ (cbrt 1.0) (/ (sqrt (cbrt k)) (pow n (/ (- 1.0 k) 2.0))))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (/ (fabs (cbrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))
  (/ (cbrt 1.0) (/ (sqrt (cbrt k)) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (/ (fabs (cbrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (cbrt 1.0) (/ (sqrt (cbrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt k)))
  (/ (cbrt 1.0) (/ (sqrt (cbrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (/ (fabs (cbrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))
  (/ (cbrt 1.0) (/ (sqrt (cbrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (/ (sqrt (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))
  (/ (cbrt 1.0) (/ (sqrt (sqrt k)) (pow n (/ (- 1.0 k) 2.0))))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))
  (/ (cbrt 1.0) (/ (sqrt (sqrt k)) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (/ (sqrt (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (cbrt 1.0) (/ (sqrt (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k)))
  (/ (cbrt 1.0) (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))
  (/ (cbrt 1.0) (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))
  (* (* (cbrt 1.0) (cbrt 1.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))
  (/ (cbrt 1.0) (/ (sqrt k) (pow n (/ (- 1.0 k) 2.0))))
  (* (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (cbrt 1.0) (/ (sqrt k) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (* (* (cbrt 1.0) (cbrt 1.0)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (cbrt 1.0) (/ (sqrt k) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (* (cbrt 1.0) (cbrt 1.0))
  (/ (cbrt 1.0) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (* (* (cbrt 1.0) (cbrt 1.0)) (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) 2))))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (/ (sqrt (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))
  (/ (cbrt 1.0) (/ (sqrt (sqrt k)) (pow n (/ (- 1.0 k) 2.0))))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))
  (/ (cbrt 1.0) (/ (sqrt (sqrt k)) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (/ (sqrt (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (cbrt 1.0) (/ (sqrt (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k)))
  (/ (cbrt 1.0) (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))
  (/ (cbrt 1.0) (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))
  (* (* (cbrt 1.0) (cbrt 1.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))
  (/ (cbrt 1.0) (/ (sqrt k) (pow n (/ (- 1.0 k) 2.0))))
  (* (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (cbrt 1.0) (/ (sqrt k) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (* (* (cbrt 1.0) (cbrt 1.0)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (cbrt 1.0) (/ (sqrt k) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (* (cbrt 1.0) (cbrt 1.0))
  (/ (cbrt 1.0) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (* (* (cbrt 1.0) (cbrt 1.0)) (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) 2))))
  (* (cbrt 1.0) (cbrt 1.0))
  (/ (cbrt 1.0) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt k))
  (* (cbrt 1.0) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))
  (/ (cbrt 1.0) (pow (* (* 2.0 PI) n) (/ k 2.0)))
  (/ (sqrt 1.0) (* (cbrt (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))
  (/ (sqrt 1.0) (cbrt (/ (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 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (sqrt 1.0) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))
  (/ (sqrt 1.0) (/ (cbrt (sqrt k)) (pow n (/ (- 1.0 k) 2.0))))
  (/ (sqrt 1.0) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))
  (/ (sqrt 1.0) (/ (cbrt (sqrt k)) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (sqrt 1.0) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (sqrt 1.0) (/ (cbrt (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt 1.0) (/ (cbrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (sqrt 1.0) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))
  (/ (sqrt 1.0) (/ (cbrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))
  (/ (sqrt 1.0) (/ (fabs (cbrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))
  (/ (sqrt 1.0) (/ (sqrt (cbrt k)) (pow n (/ (- 1.0 k) 2.0))))
  (/ (sqrt 1.0) (/ (fabs (cbrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))
  (/ (sqrt 1.0) (/ (sqrt (cbrt k)) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (sqrt 1.0) (/ (fabs (cbrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (sqrt 1.0) (/ (sqrt (cbrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (sqrt 1.0) (fabs (cbrt k)))
  (/ (sqrt 1.0) (/ (sqrt (cbrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (sqrt 1.0) (/ (fabs (cbrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))
  (/ (sqrt 1.0) (/ (sqrt (cbrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))
  (/ (sqrt 1.0) (/ (sqrt (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))
  (/ (sqrt 1.0) (/ (sqrt (sqrt k)) (pow n (/ (- 1.0 k) 2.0))))
  (/ (sqrt 1.0) (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))
  (/ (sqrt 1.0) (/ (sqrt (sqrt k)) (cbrt (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)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (sqrt 1.0) (sqrt (sqrt k)))
  (/ (sqrt 1.0) (/ (sqrt (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) 2))))
  (/ (sqrt 1.0) (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))
  (* (sqrt 1.0) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))
  (/ (sqrt 1.0) (/ (sqrt k) (pow n (/ (- 1.0 k) 2.0))))
  (* (sqrt 1.0) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (sqrt 1.0) (/ (sqrt k) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (* (sqrt 1.0) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (sqrt 1.0) (/ (sqrt k) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (sqrt 1.0)
  (/ (sqrt 1.0) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (* (sqrt 1.0) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (/ (sqrt 1.0) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))
  (/ (sqrt 1.0) (/ (sqrt (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))
  (/ (sqrt 1.0) (/ (sqrt (sqrt k)) (pow n (/ (- 1.0 k) 2.0))))
  (/ (sqrt 1.0) (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))
  (/ (sqrt 1.0) (/ (sqrt (sqrt k)) (cbrt (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)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (sqrt 1.0) (sqrt (sqrt k)))
  (/ (sqrt 1.0) (/ (sqrt (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) 2))))
  (/ (sqrt 1.0) (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))
  (* (sqrt 1.0) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))
  (/ (sqrt 1.0) (/ (sqrt k) (pow n (/ (- 1.0 k) 2.0))))
  (* (sqrt 1.0) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (sqrt 1.0) (/ (sqrt k) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (* (sqrt 1.0) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (sqrt 1.0) (/ (sqrt k) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (sqrt 1.0)
  (/ (sqrt 1.0) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (* (sqrt 1.0) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (/ (sqrt 1.0) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))
  (sqrt 1.0)
  (/ (sqrt 1.0) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (sqrt 1.0) (sqrt k))
  (* (sqrt 1.0) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (/ (sqrt 1.0) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))
  (/ (sqrt 1.0) (pow (* (* 2.0 PI) n) (/ k 2.0)))
  (/ 1 (* (cbrt (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))
  (/ 1.0 (cbrt (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ 1 (sqrt (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ 1.0 (sqrt (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))
  (/ 1.0 (/ (cbrt (sqrt k)) (pow n (/ (- 1.0 k) 2.0))))
  (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))
  (/ 1.0 (/ (cbrt (sqrt k)) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ 1.0 (/ (cbrt (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ 1.0 (/ (cbrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))
  (/ 1.0 (/ (cbrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))
  (* (/ 1 (fabs (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))
  (/ 1.0 (/ (sqrt (cbrt k)) (pow n (/ (- 1.0 k) 2.0))))
  (/ 1 (/ (fabs (cbrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))
  (/ 1.0 (/ (sqrt (cbrt k)) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ 1 (/ (fabs (cbrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ 1.0 (/ (sqrt (cbrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ 1 (fabs (cbrt k)))
  (/ 1.0 (/ (sqrt (cbrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ 1 (/ (fabs (cbrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))
  (/ 1.0 (/ (sqrt (cbrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))
  (/ 1.0 (/ (sqrt (sqrt k)) (pow n (/ (- 1.0 k) 2.0))))
  (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))
  (/ 1.0 (/ (sqrt (sqrt k)) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ 1.0 (/ (sqrt (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ 1 (sqrt (sqrt k)))
  (/ 1.0 (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))
  (/ 1.0 (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))
  (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))
  (/ 1.0 (/ (sqrt k) (pow 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))))
  (/ 1.0 (/ (sqrt k) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (sqrt (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
  (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))
  (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))
  (/ 1.0 (/ (sqrt (sqrt k)) (pow n (/ (- 1.0 k) 2.0))))
  (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))
  (/ 1.0 (/ (sqrt (sqrt k)) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ 1.0 (/ (sqrt (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ 1 (sqrt (sqrt k)))
  (/ 1.0 (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))
  (/ 1.0 (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))
  (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))
  (/ 1.0 (/ (sqrt k) (pow 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))))
  (/ 1.0 (/ (sqrt k) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (sqrt (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
  (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))
  (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))
  1
  (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ 1 (sqrt k))
  (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (/ 1 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))
  (/ 1.0 (pow (* (* 2.0 PI) n) (/ k 2.0)))
  (/ 1 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 1.0)
  (/ 1.0 (* (cbrt (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))
  (/ 1.0 (sqrt (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ 1.0 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))
  (/ 1.0 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))
  (/ 1.0 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ 1.0 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))
  (/ 1.0 (/ (fabs (cbrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))
  (/ 1.0 (/ (fabs (cbrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))
  (* (/ 1.0 (fabs (cbrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ 1.0 (fabs (cbrt k)))
  (/ 1.0 (/ (fabs (cbrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))
  (/ 1.0 (/ (sqrt (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))
  (/ 1.0 (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))
  (/ 1.0 (/ (sqrt (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ 1.0 (sqrt (sqrt k)))
  (/ 1.0 (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))
  (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))
  (* 1.0 (* (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 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  1.0
  (* 1.0 (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (/ 1.0 (/ (sqrt (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))
  (/ 1.0 (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))
  (/ 1.0 (/ (sqrt (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ 1.0 (sqrt (sqrt k)))
  (/ 1.0 (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))
  (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))
  (* 1.0 (* (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 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  1.0
  (* 1.0 (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  1.0
  (/ 1.0 (sqrt k))
  (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))
  (/ (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt 1.0))
  (/ (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt 1.0))
  (/ (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 1.0)
  (/ 1.0 (sqrt k))
  (* (* 2.0 PI) n)
  (* (* 2.0 PI) n)
  (* (* 2.0 PI) n)
  (+ (- (* +nan.0 (* (pow k 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))) (+ (- (* +nan.0 (* (* (pow k 3) (pow (log (* 2.0 PI)) 2)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (* +nan.0 (* (pow k 3) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)))) (fma +nan.0 (* (* (pow k 3) (pow (log (* 2.0 PI)) 2)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) (+ (- (* +nan.0 (* (* (pow k 3) (log (* 2.0 PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))) (+ (- (* +nan.0 (* k (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))) (fma (* (* (pow k 3) (log n)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5)) +nan.0 (+ (* +nan.0 (- (* (* (pow k 2) (log n)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5)) (* (* (pow k 3) (* (log (* 2.0 PI)) (log n))) (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5)))) (- (* +nan.0 (* (* (pow k 3) (pow (log n) 2)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5)))))))))))
  (+ (- (/ +nan.0 (* (pow k 2) (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)))) (/ +nan.0 (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)))) (/ (- +nan.0) (* (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) k)))
  (+ (- (/ +nan.0 (* k (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (/ +nan.0 (* (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)))))))))
  (- (+ (* (* 0.125 (pow k 2)) (+ (* (pow (* (* 2.0 PI) n) 0.5) (pow (log (* 2.0 PI)) 2)) (* (pow (* (* 2.0 PI) n) 0.5) (pow (log n) 2)))) (fma (* (* (pow k 2) (* (log (* 2.0 PI)) (pow (* (* 2.0 PI) n) 0.5))) (log n)) 0.25 (pow (* (* 2.0 PI) n) 0.5))) (* 0.5 (* k (+ (* (log (* 2.0 PI)) (pow (* (* 2.0 PI) n) 0.5)) (* (pow (* (* 2.0 PI) n) 0.5) (log n))))))
  (pow (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 (* (* (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)))) (fma (* (* (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 (+ (fma (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) +nan.0 (+ (- (* +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)))) (fma (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) +nan.0 (- (* +nan.0 (- (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (* k (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 (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) (pow k 3))) (* +nan.0 (- (/ (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) k) (/ (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) (pow k 2)))))
  (+ (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k))) (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))))
24.990 * * * [progress]: adding candidates to table
26.936 * [progress]: [Phase 3 of 3] Extracting.
26.936 * * [regime]: Finding splitpoints for: (#<alt (λ (k n) (/ (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))))> #<alt (λ (k n) (* (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))> #<alt (λ (k n) (* (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))> #<alt (λ (k n) (/ (/ 1.0 (sqrt k)) (/ 1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))> #<alt (λ (k n) (/ (* 1.0 (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (sqrt k)))> #<alt (λ (k n) (* (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))> #<alt (λ (k n) (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))> #<alt (λ (k n) (* (sqrt (/ (* 1.0 (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (sqrt k))) (sqrt (/ (* 1.0 (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (sqrt k)))))> #<alt (λ (k n) (* (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (cbrt (sqrt k)))))>)
26.940 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k)
26.941 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (#<alt (λ (k n) (/ (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))))> #<alt (λ (k n) (* (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))> #<alt (λ (k n) (* (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))> #<alt (λ (k n) (/ (/ 1.0 (sqrt k)) (/ 1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))> #<alt (λ (k n) (/ (* 1.0 (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (sqrt k)))> #<alt (λ (k n) (* (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))> #<alt (λ (k n) (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))> #<alt (λ (k n) (* (sqrt (/ (* 1.0 (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (sqrt k))) (sqrt (/ (* 1.0 (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (sqrt k)))))> #<alt (λ (k n) (* (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (cbrt (sqrt k)))))>)
27.058 * * * * [regimes]: Trying to branch on n from (#<alt (λ (k n) (/ (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))))> #<alt (λ (k n) (* (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))> #<alt (λ (k n) (* (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))> #<alt (λ (k n) (/ (/ 1.0 (sqrt k)) (/ 1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))> #<alt (λ (k n) (/ (* 1.0 (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (sqrt k)))> #<alt (λ (k n) (* (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))> #<alt (λ (k n) (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))> #<alt (λ (k n) (* (sqrt (/ (* 1.0 (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (sqrt k))) (sqrt (/ (* 1.0 (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (sqrt k)))))> #<alt (λ (k n) (* (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (cbrt (sqrt k)))))>)
27.174 * * * * [regimes]: Trying to branch on k from (#<alt (λ (k n) (/ (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))))> #<alt (λ (k n) (* (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))> #<alt (λ (k n) (* (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))> #<alt (λ (k n) (/ (/ 1.0 (sqrt k)) (/ 1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))> #<alt (λ (k n) (/ (* 1.0 (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (sqrt k)))> #<alt (λ (k n) (* (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))> #<alt (λ (k n) (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))> #<alt (λ (k n) (* (sqrt (/ (* 1.0 (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (sqrt k))) (sqrt (/ (* 1.0 (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (sqrt k)))))> #<alt (λ (k n) (* (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (cbrt (sqrt k)))))>)
27.289 * * * [regime]: Found split indices: #<option (#s(si 4 255))>
27.289 * [simplify]: Simplifying:
  (/ (* 1.0 (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (sqrt k))
27.289 * * [simplify]: Extracting # 0 : cost  0
27.289 * * [simplify]: Extracting # 1 : cost  0
27.289 * * [simplify]: Extracting # 2 : cost  0
27.289 * * [simplify]: Extracting # 3 : cost  0
27.290 * * [simplify]: Extracting # 4 : cost  0
27.290 * * [simplify]: Extracting # 5 : cost  0
27.290 * * [simplify]: Extracting # 6 : cost  0
27.290 * * [simplify]: Extracting # 7 : cost  0
27.290 * * [simplify]: Extracting # 8 : cost  0
27.290 * * [simplify]: Extracting # 9 : cost  0
27.290 * * [simplify]: Extracting # 10 : cost  0
27.290 * * [simplify]: iteration  0 :  16  enodes  (cost  24 )
27.292 * * [simplify]: Extracting # 0 : cost  0
27.293 * * [simplify]: iteration  1 :  20  enodes  (cost  24 )
27.295 * * [simplify]: Extracting # 0 : cost  0
27.295 * * [simplify]: iteration done:  20  enodes  (cost  24 )
27.295 * [simplify]: Simplified to:
  (/ (* 1.0 (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (sqrt k))
36.701 * [regime-testing]: Baseline error score: 0.9717297964206513
36.705 * [regime-testing]: Oracle error score: 0.11022090010367161
36.714 * [regime-testing]: End program error score: 0.9717297964206513