1554042597.510 * [progress]: [Phase 1 of 3] Setting up.
1554042597.510 * * * [progress]: [1/2] Preparing points
1554042597.738 * * * [progress]: [2/2] Setting up program.
1554042597.744 * [progress]: [Phase 2 of 3] Improving.
1554042597.744 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
1554042597.745 * [simplify]: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
1554042597.745 * * [simplify]: iters left: 6 (13 enodes)
1554042597.753 * * [simplify]: iters left: 5 (57 enodes)
1554042597.772 * * [simplify]: iters left: 4 (96 enodes)
1554042597.836 * * [simplify]: iters left: 3 (172 enodes)
1554042597.880 * * [simplify]: iters left: 2 (338 enodes)
1554042598.020 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042598.021 * * [simplify]: Extracting #1: cost 41 inf + 0
1554042598.021 * * [simplify]: Extracting #2: cost 120 inf + 1
1554042598.022 * * [simplify]: Extracting #3: cost 166 inf + 127
1554042598.024 * * [simplify]: Extracting #4: cost 163 inf + 676
1554042598.027 * * [simplify]: Extracting #5: cost 119 inf + 8991
1554042598.036 * * [simplify]: Extracting #6: cost 63 inf + 29786
1554042598.057 * * [simplify]: Extracting #7: cost 6 inf + 73494
1554042598.082 * * [simplify]: Extracting #8: cost 0 inf + 78104
1554042598.107 * [simplify]: Simplified to (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))
1554042598.107 * [simplify]: Simplified (2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))
1554042598.119 * * [progress]: iteration 1 / 4
1554042598.119 * * * [progress]: picking best candidate
1554042598.129 * * * * [pick]: Picked  #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))>
1554042598.129 * * * [progress]: localizing error
1554042598.165 * * * [progress]: generating rewritten candidates
1554042598.165 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1)
1554042598.179 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1)
1554042598.195 * * * * [progress]: [ 3 / 3 ] rewriting at (2)
1554042598.219 * * * [progress]: generating series expansions
1554042598.219 * * * * [progress]: [ 1 / 3 ] generating series at (2 1)
1554042598.220 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))
1554042598.220 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0
1554042598.220 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
1554042598.220 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
1554042598.220 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
1554042598.220 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
1554042598.220 * [taylor]: Taking taylor expansion of 1/2 in k
1554042598.220 * [backup-simplify]: Simplify 1/2 into 1/2
1554042598.220 * [taylor]: Taking taylor expansion of (- 1 k) in k
1554042598.220 * [taylor]: Taking taylor expansion of 1 in k
1554042598.220 * [backup-simplify]: Simplify 1 into 1
1554042598.220 * [taylor]: Taking taylor expansion of k in k
1554042598.221 * [backup-simplify]: Simplify 0 into 0
1554042598.221 * [backup-simplify]: Simplify 1 into 1
1554042598.221 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1554042598.221 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1554042598.221 * [taylor]: Taking taylor expansion of 2 in k
1554042598.221 * [backup-simplify]: Simplify 2 into 2
1554042598.221 * [taylor]: Taking taylor expansion of (* n PI) in k
1554042598.221 * [taylor]: Taking taylor expansion of n in k
1554042598.221 * [backup-simplify]: Simplify n into n
1554042598.221 * [taylor]: Taking taylor expansion of PI in k
1554042598.221 * [backup-simplify]: Simplify PI into PI
1554042598.221 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1554042598.221 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1554042598.221 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1554042598.221 * [backup-simplify]: Simplify (- 0) into 0
1554042598.222 * [backup-simplify]: Simplify (+ 1 0) into 1
1554042598.222 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1554042598.222 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1554042598.223 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1554042598.223 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
1554042598.223 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
1554042598.223 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
1554042598.223 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
1554042598.223 * [taylor]: Taking taylor expansion of 1/2 in n
1554042598.223 * [backup-simplify]: Simplify 1/2 into 1/2
1554042598.223 * [taylor]: Taking taylor expansion of (- 1 k) in n
1554042598.223 * [taylor]: Taking taylor expansion of 1 in n
1554042598.223 * [backup-simplify]: Simplify 1 into 1
1554042598.223 * [taylor]: Taking taylor expansion of k in n
1554042598.223 * [backup-simplify]: Simplify k into k
1554042598.223 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1554042598.223 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1554042598.223 * [taylor]: Taking taylor expansion of 2 in n
1554042598.223 * [backup-simplify]: Simplify 2 into 2
1554042598.223 * [taylor]: Taking taylor expansion of (* n PI) in n
1554042598.223 * [taylor]: Taking taylor expansion of n in n
1554042598.223 * [backup-simplify]: Simplify 0 into 0
1554042598.223 * [backup-simplify]: Simplify 1 into 1
1554042598.223 * [taylor]: Taking taylor expansion of PI in n
1554042598.223 * [backup-simplify]: Simplify PI into PI
1554042598.224 * [backup-simplify]: Simplify (* 0 PI) into 0
1554042598.224 * [backup-simplify]: Simplify (* 2 0) into 0
1554042598.226 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1554042598.227 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1554042598.228 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554042598.228 * [backup-simplify]: Simplify (- k) into (- k)
1554042598.228 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
1554042598.229 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
1554042598.230 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554042598.231 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
1554042598.232 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
1554042598.232 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
1554042598.232 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
1554042598.232 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
1554042598.232 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
1554042598.232 * [taylor]: Taking taylor expansion of 1/2 in n
1554042598.232 * [backup-simplify]: Simplify 1/2 into 1/2
1554042598.232 * [taylor]: Taking taylor expansion of (- 1 k) in n
1554042598.232 * [taylor]: Taking taylor expansion of 1 in n
1554042598.232 * [backup-simplify]: Simplify 1 into 1
1554042598.232 * [taylor]: Taking taylor expansion of k in n
1554042598.232 * [backup-simplify]: Simplify k into k
1554042598.232 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1554042598.232 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1554042598.232 * [taylor]: Taking taylor expansion of 2 in n
1554042598.232 * [backup-simplify]: Simplify 2 into 2
1554042598.232 * [taylor]: Taking taylor expansion of (* n PI) in n
1554042598.232 * [taylor]: Taking taylor expansion of n in n
1554042598.232 * [backup-simplify]: Simplify 0 into 0
1554042598.232 * [backup-simplify]: Simplify 1 into 1
1554042598.232 * [taylor]: Taking taylor expansion of PI in n
1554042598.233 * [backup-simplify]: Simplify PI into PI
1554042598.233 * [backup-simplify]: Simplify (* 0 PI) into 0
1554042598.233 * [backup-simplify]: Simplify (* 2 0) into 0
1554042598.235 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1554042598.236 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1554042598.237 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554042598.237 * [backup-simplify]: Simplify (- k) into (- k)
1554042598.237 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
1554042598.237 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
1554042598.243 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554042598.244 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
1554042598.245 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
1554042598.245 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
1554042598.245 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
1554042598.245 * [taylor]: Taking taylor expansion of 1/2 in k
1554042598.246 * [backup-simplify]: Simplify 1/2 into 1/2
1554042598.246 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
1554042598.246 * [taylor]: Taking taylor expansion of (- 1 k) in k
1554042598.246 * [taylor]: Taking taylor expansion of 1 in k
1554042598.246 * [backup-simplify]: Simplify 1 into 1
1554042598.246 * [taylor]: Taking taylor expansion of k in k
1554042598.246 * [backup-simplify]: Simplify 0 into 0
1554042598.246 * [backup-simplify]: Simplify 1 into 1
1554042598.246 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1554042598.246 * [taylor]: Taking taylor expansion of (log n) in k
1554042598.246 * [taylor]: Taking taylor expansion of n in k
1554042598.246 * [backup-simplify]: Simplify n into n
1554042598.246 * [backup-simplify]: Simplify (log n) into (log n)
1554042598.246 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1554042598.246 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1554042598.246 * [taylor]: Taking taylor expansion of 2 in k
1554042598.246 * [backup-simplify]: Simplify 2 into 2
1554042598.246 * [taylor]: Taking taylor expansion of PI in k
1554042598.246 * [backup-simplify]: Simplify PI into PI
1554042598.246 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554042598.247 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554042598.248 * [backup-simplify]: Simplify (- 0) into 0
1554042598.248 * [backup-simplify]: Simplify (+ 1 0) into 1
1554042598.249 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554042598.250 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
1554042598.251 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
1554042598.252 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1554042598.253 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1554042598.254 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1554042598.255 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1554042598.257 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1554042598.258 * [backup-simplify]: Simplify (- 0) into 0
1554042598.258 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042598.258 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0
1554042598.260 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554042598.261 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1554042598.263 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
1554042598.263 * [taylor]: Taking taylor expansion of 0 in k
1554042598.263 * [backup-simplify]: Simplify 0 into 0
1554042598.263 * [backup-simplify]: Simplify 0 into 0
1554042598.263 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1554042598.264 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1554042598.266 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1554042598.266 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042598.267 * [backup-simplify]: Simplify (- 1) into -1
1554042598.267 * [backup-simplify]: Simplify (+ 0 -1) into -1
1554042598.268 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
1554042598.270 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))))
1554042598.273 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
1554042598.276 * [backup-simplify]: Simplify (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
1554042598.277 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1554042598.278 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1554042598.282 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
1554042598.282 * [backup-simplify]: Simplify (- 0) into 0
1554042598.282 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042598.283 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
1554042598.285 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554042598.286 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1554042598.288 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1554042598.288 * [taylor]: Taking taylor expansion of 0 in k
1554042598.288 * [backup-simplify]: Simplify 0 into 0
1554042598.288 * [backup-simplify]: Simplify 0 into 0
1554042598.288 * [backup-simplify]: Simplify 0 into 0
1554042598.290 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
1554042598.291 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1554042598.294 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
1554042598.295 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042598.295 * [backup-simplify]: Simplify (- 0) into 0
1554042598.295 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042598.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1554042598.300 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1554042598.304 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))))
1554042598.308 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))))
1554042598.318 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (* k 1)) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)))))
1554042598.319 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))
1554042598.319 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0
1554042598.319 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
1554042598.319 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1554042598.319 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1554042598.319 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
1554042598.319 * [taylor]: Taking taylor expansion of 1/2 in k
1554042598.319 * [backup-simplify]: Simplify 1/2 into 1/2
1554042598.319 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
1554042598.319 * [taylor]: Taking taylor expansion of 1 in k
1554042598.319 * [backup-simplify]: Simplify 1 into 1
1554042598.319 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1554042598.319 * [taylor]: Taking taylor expansion of k in k
1554042598.319 * [backup-simplify]: Simplify 0 into 0
1554042598.319 * [backup-simplify]: Simplify 1 into 1
1554042598.320 * [backup-simplify]: Simplify (/ 1 1) into 1
1554042598.320 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
1554042598.320 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
1554042598.320 * [taylor]: Taking taylor expansion of 2 in k
1554042598.320 * [backup-simplify]: Simplify 2 into 2
1554042598.320 * [taylor]: Taking taylor expansion of (/ PI n) in k
1554042598.320 * [taylor]: Taking taylor expansion of PI in k
1554042598.320 * [backup-simplify]: Simplify PI into PI
1554042598.320 * [taylor]: Taking taylor expansion of n in k
1554042598.320 * [backup-simplify]: Simplify n into n
1554042598.320 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1554042598.320 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1554042598.320 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1554042598.320 * [backup-simplify]: Simplify (- 1) into -1
1554042598.321 * [backup-simplify]: Simplify (+ 0 -1) into -1
1554042598.321 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
1554042598.321 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1554042598.322 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
1554042598.322 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
1554042598.322 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1554042598.322 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1554042598.322 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
1554042598.322 * [taylor]: Taking taylor expansion of 1/2 in n
1554042598.322 * [backup-simplify]: Simplify 1/2 into 1/2
1554042598.322 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
1554042598.322 * [taylor]: Taking taylor expansion of 1 in n
1554042598.322 * [backup-simplify]: Simplify 1 into 1
1554042598.322 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1554042598.322 * [taylor]: Taking taylor expansion of k in n
1554042598.322 * [backup-simplify]: Simplify k into k
1554042598.322 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1554042598.322 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1554042598.322 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1554042598.322 * [taylor]: Taking taylor expansion of 2 in n
1554042598.322 * [backup-simplify]: Simplify 2 into 2
1554042598.322 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554042598.322 * [taylor]: Taking taylor expansion of PI in n
1554042598.322 * [backup-simplify]: Simplify PI into PI
1554042598.322 * [taylor]: Taking taylor expansion of n in n
1554042598.322 * [backup-simplify]: Simplify 0 into 0
1554042598.322 * [backup-simplify]: Simplify 1 into 1
1554042598.323 * [backup-simplify]: Simplify (/ PI 1) into PI
1554042598.323 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554042598.324 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554042598.324 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
1554042598.324 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
1554042598.325 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
1554042598.326 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1554042598.327 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
1554042598.328 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
1554042598.328 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
1554042598.328 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1554042598.328 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1554042598.328 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
1554042598.328 * [taylor]: Taking taylor expansion of 1/2 in n
1554042598.328 * [backup-simplify]: Simplify 1/2 into 1/2
1554042598.328 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
1554042598.328 * [taylor]: Taking taylor expansion of 1 in n
1554042598.328 * [backup-simplify]: Simplify 1 into 1
1554042598.328 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1554042598.328 * [taylor]: Taking taylor expansion of k in n
1554042598.328 * [backup-simplify]: Simplify k into k
1554042598.328 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1554042598.328 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1554042598.329 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1554042598.329 * [taylor]: Taking taylor expansion of 2 in n
1554042598.329 * [backup-simplify]: Simplify 2 into 2
1554042598.329 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554042598.329 * [taylor]: Taking taylor expansion of PI in n
1554042598.329 * [backup-simplify]: Simplify PI into PI
1554042598.329 * [taylor]: Taking taylor expansion of n in n
1554042598.329 * [backup-simplify]: Simplify 0 into 0
1554042598.329 * [backup-simplify]: Simplify 1 into 1
1554042598.329 * [backup-simplify]: Simplify (/ PI 1) into PI
1554042598.330 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554042598.331 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554042598.331 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
1554042598.331 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
1554042598.331 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
1554042598.332 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1554042598.333 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
1554042598.334 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
1554042598.334 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
1554042598.335 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
1554042598.335 * [taylor]: Taking taylor expansion of 1/2 in k
1554042598.335 * [backup-simplify]: Simplify 1/2 into 1/2
1554042598.335 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
1554042598.335 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
1554042598.335 * [taylor]: Taking taylor expansion of 1 in k
1554042598.335 * [backup-simplify]: Simplify 1 into 1
1554042598.335 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1554042598.335 * [taylor]: Taking taylor expansion of k in k
1554042598.335 * [backup-simplify]: Simplify 0 into 0
1554042598.335 * [backup-simplify]: Simplify 1 into 1
1554042598.335 * [backup-simplify]: Simplify (/ 1 1) into 1
1554042598.335 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1554042598.335 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1554042598.335 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1554042598.335 * [taylor]: Taking taylor expansion of 2 in k
1554042598.335 * [backup-simplify]: Simplify 2 into 2
1554042598.335 * [taylor]: Taking taylor expansion of PI in k
1554042598.335 * [backup-simplify]: Simplify PI into PI
1554042598.336 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554042598.337 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554042598.337 * [taylor]: Taking taylor expansion of (log n) in k
1554042598.337 * [taylor]: Taking taylor expansion of n in k
1554042598.337 * [backup-simplify]: Simplify n into n
1554042598.337 * [backup-simplify]: Simplify (log n) into (log n)
1554042598.337 * [backup-simplify]: Simplify (- 1) into -1
1554042598.338 * [backup-simplify]: Simplify (+ 0 -1) into -1
1554042598.338 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1554042598.339 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1554042598.340 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
1554042598.341 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1554042598.342 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
1554042598.343 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
1554042598.344 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1554042598.345 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1554042598.347 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1554042598.347 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1554042598.347 * [backup-simplify]: Simplify (- 0) into 0
1554042598.348 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042598.348 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0
1554042598.350 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1554042598.351 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1554042598.353 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
1554042598.353 * [taylor]: Taking taylor expansion of 0 in k
1554042598.353 * [backup-simplify]: Simplify 0 into 0
1554042598.353 * [backup-simplify]: Simplify 0 into 0
1554042598.353 * [backup-simplify]: Simplify 0 into 0
1554042598.354 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554042598.355 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1554042598.358 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
1554042598.358 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1554042598.359 * [backup-simplify]: Simplify (- 0) into 0
1554042598.359 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042598.360 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
1554042598.361 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1554042598.363 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
1554042598.366 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1554042598.366 * [taylor]: Taking taylor expansion of 0 in k
1554042598.366 * [backup-simplify]: Simplify 0 into 0
1554042598.366 * [backup-simplify]: Simplify 0 into 0
1554042598.366 * [backup-simplify]: Simplify 0 into 0
1554042598.366 * [backup-simplify]: Simplify 0 into 0
1554042598.367 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554042598.368 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1554042598.374 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
1554042598.375 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1554042598.375 * [backup-simplify]: Simplify (- 0) into 0
1554042598.375 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042598.377 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
1554042598.378 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1554042598.380 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
1554042598.383 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1554042598.383 * [taylor]: Taking taylor expansion of 0 in k
1554042598.383 * [backup-simplify]: Simplify 0 into 0
1554042598.383 * [backup-simplify]: Simplify 0 into 0
1554042598.384 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
1554042598.385 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))
1554042598.385 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0
1554042598.385 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
1554042598.385 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
1554042598.385 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
1554042598.385 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
1554042598.385 * [taylor]: Taking taylor expansion of 1/2 in k
1554042598.385 * [backup-simplify]: Simplify 1/2 into 1/2
1554042598.385 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
1554042598.385 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1554042598.385 * [taylor]: Taking taylor expansion of k in k
1554042598.385 * [backup-simplify]: Simplify 0 into 0
1554042598.385 * [backup-simplify]: Simplify 1 into 1
1554042598.385 * [backup-simplify]: Simplify (/ 1 1) into 1
1554042598.385 * [taylor]: Taking taylor expansion of 1 in k
1554042598.385 * [backup-simplify]: Simplify 1 into 1
1554042598.385 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
1554042598.385 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
1554042598.385 * [taylor]: Taking taylor expansion of -2 in k
1554042598.385 * [backup-simplify]: Simplify -2 into -2
1554042598.385 * [taylor]: Taking taylor expansion of (/ PI n) in k
1554042598.385 * [taylor]: Taking taylor expansion of PI in k
1554042598.385 * [backup-simplify]: Simplify PI into PI
1554042598.385 * [taylor]: Taking taylor expansion of n in k
1554042598.385 * [backup-simplify]: Simplify n into n
1554042598.385 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1554042598.385 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1554042598.386 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1554042598.386 * [backup-simplify]: Simplify (+ 1 0) into 1
1554042598.386 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1554042598.386 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1554042598.386 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
1554042598.386 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
1554042598.386 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
1554042598.386 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
1554042598.386 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
1554042598.386 * [taylor]: Taking taylor expansion of 1/2 in n
1554042598.386 * [backup-simplify]: Simplify 1/2 into 1/2
1554042598.386 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
1554042598.386 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1554042598.386 * [taylor]: Taking taylor expansion of k in n
1554042598.386 * [backup-simplify]: Simplify k into k
1554042598.386 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1554042598.386 * [taylor]: Taking taylor expansion of 1 in n
1554042598.386 * [backup-simplify]: Simplify 1 into 1
1554042598.387 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1554042598.387 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1554042598.387 * [taylor]: Taking taylor expansion of -2 in n
1554042598.387 * [backup-simplify]: Simplify -2 into -2
1554042598.387 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554042598.387 * [taylor]: Taking taylor expansion of PI in n
1554042598.387 * [backup-simplify]: Simplify PI into PI
1554042598.387 * [taylor]: Taking taylor expansion of n in n
1554042598.387 * [backup-simplify]: Simplify 0 into 0
1554042598.387 * [backup-simplify]: Simplify 1 into 1
1554042598.387 * [backup-simplify]: Simplify (/ PI 1) into PI
1554042598.387 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1554042598.388 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1554042598.388 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
1554042598.388 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
1554042598.389 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1554042598.389 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
1554042598.390 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
1554042598.390 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
1554042598.390 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
1554042598.390 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
1554042598.390 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
1554042598.390 * [taylor]: Taking taylor expansion of 1/2 in n
1554042598.390 * [backup-simplify]: Simplify 1/2 into 1/2
1554042598.390 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
1554042598.390 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1554042598.390 * [taylor]: Taking taylor expansion of k in n
1554042598.390 * [backup-simplify]: Simplify k into k
1554042598.390 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1554042598.390 * [taylor]: Taking taylor expansion of 1 in n
1554042598.390 * [backup-simplify]: Simplify 1 into 1
1554042598.390 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1554042598.390 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1554042598.390 * [taylor]: Taking taylor expansion of -2 in n
1554042598.390 * [backup-simplify]: Simplify -2 into -2
1554042598.390 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554042598.390 * [taylor]: Taking taylor expansion of PI in n
1554042598.390 * [backup-simplify]: Simplify PI into PI
1554042598.390 * [taylor]: Taking taylor expansion of n in n
1554042598.390 * [backup-simplify]: Simplify 0 into 0
1554042598.391 * [backup-simplify]: Simplify 1 into 1
1554042598.391 * [backup-simplify]: Simplify (/ PI 1) into PI
1554042598.391 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1554042598.392 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1554042598.392 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
1554042598.392 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
1554042598.393 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1554042598.393 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
1554042598.394 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
1554042598.394 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
1554042598.394 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
1554042598.394 * [taylor]: Taking taylor expansion of 1/2 in k
1554042598.394 * [backup-simplify]: Simplify 1/2 into 1/2
1554042598.394 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
1554042598.394 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
1554042598.394 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1554042598.394 * [taylor]: Taking taylor expansion of k in k
1554042598.394 * [backup-simplify]: Simplify 0 into 0
1554042598.394 * [backup-simplify]: Simplify 1 into 1
1554042598.394 * [backup-simplify]: Simplify (/ 1 1) into 1
1554042598.394 * [taylor]: Taking taylor expansion of 1 in k
1554042598.394 * [backup-simplify]: Simplify 1 into 1
1554042598.394 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
1554042598.395 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
1554042598.395 * [taylor]: Taking taylor expansion of (* -2 PI) in k
1554042598.395 * [taylor]: Taking taylor expansion of -2 in k
1554042598.395 * [backup-simplify]: Simplify -2 into -2
1554042598.395 * [taylor]: Taking taylor expansion of PI in k
1554042598.395 * [backup-simplify]: Simplify PI into PI
1554042598.395 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1554042598.395 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1554042598.395 * [taylor]: Taking taylor expansion of (log n) in k
1554042598.395 * [taylor]: Taking taylor expansion of n in k
1554042598.396 * [backup-simplify]: Simplify n into n
1554042598.396 * [backup-simplify]: Simplify (log n) into (log n)
1554042598.396 * [backup-simplify]: Simplify (+ 1 0) into 1
1554042598.396 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1554042598.396 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
1554042598.397 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
1554042598.398 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
1554042598.398 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
1554042598.399 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
1554042598.400 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1554042598.400 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1554042598.401 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1554042598.401 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1554042598.401 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042598.402 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0
1554042598.403 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1554042598.403 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1554042598.404 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
1554042598.404 * [taylor]: Taking taylor expansion of 0 in k
1554042598.404 * [backup-simplify]: Simplify 0 into 0
1554042598.404 * [backup-simplify]: Simplify 0 into 0
1554042598.404 * [backup-simplify]: Simplify 0 into 0
1554042598.405 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554042598.406 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1554042598.407 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0
1554042598.407 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1554042598.408 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042598.408 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
1554042598.409 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1554042598.411 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
1554042598.414 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1554042598.414 * [taylor]: Taking taylor expansion of 0 in k
1554042598.414 * [backup-simplify]: Simplify 0 into 0
1554042598.414 * [backup-simplify]: Simplify 0 into 0
1554042598.414 * [backup-simplify]: Simplify 0 into 0
1554042598.414 * [backup-simplify]: Simplify 0 into 0
1554042598.415 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554042598.416 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1554042598.422 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 PI) 1)))) 6) into 0
1554042598.422 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1554042598.423 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042598.424 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0
1554042598.425 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1554042598.427 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
1554042598.430 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1554042598.430 * [taylor]: Taking taylor expansion of 0 in k
1554042598.430 * [backup-simplify]: Simplify 0 into 0
1554042598.430 * [backup-simplify]: Simplify 0 into 0
1554042598.431 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
1554042598.431 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1)
1554042598.431 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI))
1554042598.431 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
1554042598.431 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1554042598.431 * [taylor]: Taking taylor expansion of 2 in n
1554042598.432 * [backup-simplify]: Simplify 2 into 2
1554042598.432 * [taylor]: Taking taylor expansion of (* n PI) in n
1554042598.432 * [taylor]: Taking taylor expansion of n in n
1554042598.432 * [backup-simplify]: Simplify 0 into 0
1554042598.432 * [backup-simplify]: Simplify 1 into 1
1554042598.432 * [taylor]: Taking taylor expansion of PI in n
1554042598.432 * [backup-simplify]: Simplify PI into PI
1554042598.432 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1554042598.432 * [taylor]: Taking taylor expansion of 2 in n
1554042598.432 * [backup-simplify]: Simplify 2 into 2
1554042598.432 * [taylor]: Taking taylor expansion of (* n PI) in n
1554042598.432 * [taylor]: Taking taylor expansion of n in n
1554042598.432 * [backup-simplify]: Simplify 0 into 0
1554042598.432 * [backup-simplify]: Simplify 1 into 1
1554042598.432 * [taylor]: Taking taylor expansion of PI in n
1554042598.432 * [backup-simplify]: Simplify PI into PI
1554042598.432 * [backup-simplify]: Simplify (* 0 PI) into 0
1554042598.433 * [backup-simplify]: Simplify (* 2 0) into 0
1554042598.433 * [backup-simplify]: Simplify 0 into 0
1554042598.434 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1554042598.436 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1554042598.436 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554042598.437 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1554042598.438 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1554042598.438 * [backup-simplify]: Simplify 0 into 0
1554042598.440 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1554042598.441 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1554042598.441 * [backup-simplify]: Simplify 0 into 0
1554042598.442 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1554042598.443 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1554042598.443 * [backup-simplify]: Simplify 0 into 0
1554042598.445 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1554042598.446 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
1554042598.446 * [backup-simplify]: Simplify 0 into 0
1554042598.448 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1554042598.449 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
1554042598.449 * [backup-simplify]: Simplify 0 into 0
1554042598.451 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
1554042598.453 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
1554042598.453 * [backup-simplify]: Simplify 0 into 0
1554042598.454 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
1554042598.454 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n))
1554042598.454 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
1554042598.454 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1554042598.455 * [taylor]: Taking taylor expansion of 2 in n
1554042598.455 * [backup-simplify]: Simplify 2 into 2
1554042598.455 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554042598.455 * [taylor]: Taking taylor expansion of PI in n
1554042598.455 * [backup-simplify]: Simplify PI into PI
1554042598.455 * [taylor]: Taking taylor expansion of n in n
1554042598.455 * [backup-simplify]: Simplify 0 into 0
1554042598.455 * [backup-simplify]: Simplify 1 into 1
1554042598.455 * [backup-simplify]: Simplify (/ PI 1) into PI
1554042598.455 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1554042598.455 * [taylor]: Taking taylor expansion of 2 in n
1554042598.455 * [backup-simplify]: Simplify 2 into 2
1554042598.455 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554042598.455 * [taylor]: Taking taylor expansion of PI in n
1554042598.455 * [backup-simplify]: Simplify PI into PI
1554042598.455 * [taylor]: Taking taylor expansion of n in n
1554042598.455 * [backup-simplify]: Simplify 0 into 0
1554042598.455 * [backup-simplify]: Simplify 1 into 1
1554042598.456 * [backup-simplify]: Simplify (/ PI 1) into PI
1554042598.456 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554042598.457 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554042598.458 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1554042598.458 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1554042598.458 * [backup-simplify]: Simplify 0 into 0
1554042598.459 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554042598.460 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1554042598.460 * [backup-simplify]: Simplify 0 into 0
1554042598.461 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554042598.462 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1554042598.462 * [backup-simplify]: Simplify 0 into 0
1554042598.463 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554042598.465 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1554042598.465 * [backup-simplify]: Simplify 0 into 0
1554042598.466 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554042598.467 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1554042598.467 * [backup-simplify]: Simplify 0 into 0
1554042598.468 * [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
1554042598.470 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1554042598.470 * [backup-simplify]: Simplify 0 into 0
1554042598.471 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
1554042598.471 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n))
1554042598.471 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
1554042598.471 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1554042598.471 * [taylor]: Taking taylor expansion of -2 in n
1554042598.471 * [backup-simplify]: Simplify -2 into -2
1554042598.471 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554042598.471 * [taylor]: Taking taylor expansion of PI in n
1554042598.471 * [backup-simplify]: Simplify PI into PI
1554042598.471 * [taylor]: Taking taylor expansion of n in n
1554042598.471 * [backup-simplify]: Simplify 0 into 0
1554042598.471 * [backup-simplify]: Simplify 1 into 1
1554042598.472 * [backup-simplify]: Simplify (/ PI 1) into PI
1554042598.472 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1554042598.472 * [taylor]: Taking taylor expansion of -2 in n
1554042598.472 * [backup-simplify]: Simplify -2 into -2
1554042598.472 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554042598.472 * [taylor]: Taking taylor expansion of PI in n
1554042598.472 * [backup-simplify]: Simplify PI into PI
1554042598.472 * [taylor]: Taking taylor expansion of n in n
1554042598.472 * [backup-simplify]: Simplify 0 into 0
1554042598.472 * [backup-simplify]: Simplify 1 into 1
1554042598.473 * [backup-simplify]: Simplify (/ PI 1) into PI
1554042598.473 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1554042598.473 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1554042598.474 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1554042598.475 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1554042598.475 * [backup-simplify]: Simplify 0 into 0
1554042598.476 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554042598.477 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1554042598.477 * [backup-simplify]: Simplify 0 into 0
1554042598.478 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554042598.479 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1554042598.479 * [backup-simplify]: Simplify 0 into 0
1554042598.480 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554042598.481 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1554042598.481 * [backup-simplify]: Simplify 0 into 0
1554042598.483 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554042598.484 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1554042598.484 * [backup-simplify]: Simplify 0 into 0
1554042598.485 * [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
1554042598.487 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1554042598.487 * [backup-simplify]: Simplify 0 into 0
1554042598.487 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
1554042598.487 * * * * [progress]: [ 3 / 3 ] generating series at (2)
1554042598.488 * [backup-simplify]: Simplify (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k)))
1554042598.488 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (n k) around 0
1554042598.488 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k
1554042598.488 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
1554042598.488 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
1554042598.488 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
1554042598.488 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
1554042598.488 * [taylor]: Taking taylor expansion of 1/2 in k
1554042598.488 * [backup-simplify]: Simplify 1/2 into 1/2
1554042598.488 * [taylor]: Taking taylor expansion of (- 1 k) in k
1554042598.488 * [taylor]: Taking taylor expansion of 1 in k
1554042598.488 * [backup-simplify]: Simplify 1 into 1
1554042598.488 * [taylor]: Taking taylor expansion of k in k
1554042598.488 * [backup-simplify]: Simplify 0 into 0
1554042598.488 * [backup-simplify]: Simplify 1 into 1
1554042598.489 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1554042598.489 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1554042598.489 * [taylor]: Taking taylor expansion of 2 in k
1554042598.489 * [backup-simplify]: Simplify 2 into 2
1554042598.489 * [taylor]: Taking taylor expansion of (* n PI) in k
1554042598.489 * [taylor]: Taking taylor expansion of n in k
1554042598.489 * [backup-simplify]: Simplify n into n
1554042598.489 * [taylor]: Taking taylor expansion of PI in k
1554042598.489 * [backup-simplify]: Simplify PI into PI
1554042598.489 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1554042598.489 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1554042598.489 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1554042598.489 * [backup-simplify]: Simplify (- 0) into 0
1554042598.490 * [backup-simplify]: Simplify (+ 1 0) into 1
1554042598.490 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1554042598.490 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1554042598.490 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1554042598.490 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
1554042598.490 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1554042598.490 * [taylor]: Taking taylor expansion of k in k
1554042598.490 * [backup-simplify]: Simplify 0 into 0
1554042598.490 * [backup-simplify]: Simplify 1 into 1
1554042598.491 * [backup-simplify]: Simplify (/ 1 1) into 1
1554042598.491 * [backup-simplify]: Simplify (sqrt 0) into 0
1554042598.493 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1554042598.493 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n
1554042598.493 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
1554042598.493 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
1554042598.493 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
1554042598.493 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
1554042598.493 * [taylor]: Taking taylor expansion of 1/2 in n
1554042598.493 * [backup-simplify]: Simplify 1/2 into 1/2
1554042598.493 * [taylor]: Taking taylor expansion of (- 1 k) in n
1554042598.493 * [taylor]: Taking taylor expansion of 1 in n
1554042598.493 * [backup-simplify]: Simplify 1 into 1
1554042598.493 * [taylor]: Taking taylor expansion of k in n
1554042598.493 * [backup-simplify]: Simplify k into k
1554042598.493 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1554042598.493 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1554042598.493 * [taylor]: Taking taylor expansion of 2 in n
1554042598.493 * [backup-simplify]: Simplify 2 into 2
1554042598.493 * [taylor]: Taking taylor expansion of (* n PI) in n
1554042598.493 * [taylor]: Taking taylor expansion of n in n
1554042598.493 * [backup-simplify]: Simplify 0 into 0
1554042598.493 * [backup-simplify]: Simplify 1 into 1
1554042598.493 * [taylor]: Taking taylor expansion of PI in n
1554042598.493 * [backup-simplify]: Simplify PI into PI
1554042598.494 * [backup-simplify]: Simplify (* 0 PI) into 0
1554042598.494 * [backup-simplify]: Simplify (* 2 0) into 0
1554042598.495 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1554042598.497 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1554042598.498 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554042598.498 * [backup-simplify]: Simplify (- k) into (- k)
1554042598.498 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
1554042598.498 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
1554042598.499 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554042598.500 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
1554042598.501 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
1554042598.502 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
1554042598.502 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1554042598.502 * [taylor]: Taking taylor expansion of k in n
1554042598.502 * [backup-simplify]: Simplify k into k
1554042598.502 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1554042598.502 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
1554042598.502 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1554042598.502 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
1554042598.502 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n
1554042598.502 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
1554042598.502 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
1554042598.502 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
1554042598.502 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
1554042598.502 * [taylor]: Taking taylor expansion of 1/2 in n
1554042598.502 * [backup-simplify]: Simplify 1/2 into 1/2
1554042598.502 * [taylor]: Taking taylor expansion of (- 1 k) in n
1554042598.502 * [taylor]: Taking taylor expansion of 1 in n
1554042598.502 * [backup-simplify]: Simplify 1 into 1
1554042598.502 * [taylor]: Taking taylor expansion of k in n
1554042598.502 * [backup-simplify]: Simplify k into k
1554042598.502 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1554042598.502 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1554042598.502 * [taylor]: Taking taylor expansion of 2 in n
1554042598.502 * [backup-simplify]: Simplify 2 into 2
1554042598.502 * [taylor]: Taking taylor expansion of (* n PI) in n
1554042598.502 * [taylor]: Taking taylor expansion of n in n
1554042598.502 * [backup-simplify]: Simplify 0 into 0
1554042598.503 * [backup-simplify]: Simplify 1 into 1
1554042598.503 * [taylor]: Taking taylor expansion of PI in n
1554042598.503 * [backup-simplify]: Simplify PI into PI
1554042598.503 * [backup-simplify]: Simplify (* 0 PI) into 0
1554042598.503 * [backup-simplify]: Simplify (* 2 0) into 0
1554042598.505 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1554042598.506 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1554042598.510 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554042598.510 * [backup-simplify]: Simplify (- k) into (- k)
1554042598.510 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
1554042598.510 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
1554042598.512 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554042598.513 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
1554042598.514 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
1554042598.514 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
1554042598.514 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1554042598.514 * [taylor]: Taking taylor expansion of k in n
1554042598.514 * [backup-simplify]: Simplify k into k
1554042598.514 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1554042598.514 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
1554042598.514 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1554042598.514 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
1554042598.515 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) into (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k)))
1554042598.516 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) in k
1554042598.516 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
1554042598.516 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
1554042598.516 * [taylor]: Taking taylor expansion of 1/2 in k
1554042598.516 * [backup-simplify]: Simplify 1/2 into 1/2
1554042598.516 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
1554042598.516 * [taylor]: Taking taylor expansion of (- 1 k) in k
1554042598.516 * [taylor]: Taking taylor expansion of 1 in k
1554042598.516 * [backup-simplify]: Simplify 1 into 1
1554042598.516 * [taylor]: Taking taylor expansion of k in k
1554042598.516 * [backup-simplify]: Simplify 0 into 0
1554042598.516 * [backup-simplify]: Simplify 1 into 1
1554042598.516 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1554042598.516 * [taylor]: Taking taylor expansion of (log n) in k
1554042598.516 * [taylor]: Taking taylor expansion of n in k
1554042598.516 * [backup-simplify]: Simplify n into n
1554042598.516 * [backup-simplify]: Simplify (log n) into (log n)
1554042598.516 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1554042598.516 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1554042598.516 * [taylor]: Taking taylor expansion of 2 in k
1554042598.516 * [backup-simplify]: Simplify 2 into 2
1554042598.516 * [taylor]: Taking taylor expansion of PI in k
1554042598.516 * [backup-simplify]: Simplify PI into PI
1554042598.517 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554042598.517 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554042598.518 * [backup-simplify]: Simplify (- 0) into 0
1554042598.518 * [backup-simplify]: Simplify (+ 1 0) into 1
1554042598.519 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554042598.520 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
1554042598.521 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
1554042598.522 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1554042598.522 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
1554042598.522 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1554042598.522 * [taylor]: Taking taylor expansion of k in k
1554042598.522 * [backup-simplify]: Simplify 0 into 0
1554042598.522 * [backup-simplify]: Simplify 1 into 1
1554042598.523 * [backup-simplify]: Simplify (/ 1 1) into 1
1554042598.523 * [backup-simplify]: Simplify (sqrt 0) into 0
1554042598.524 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1554042598.525 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0
1554042598.526 * [backup-simplify]: Simplify 0 into 0
1554042598.527 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1554042598.527 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1554042598.529 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1554042598.529 * [backup-simplify]: Simplify (- 0) into 0
1554042598.529 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042598.530 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0
1554042598.531 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554042598.531 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1554042598.532 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
1554042598.533 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (* 0 (sqrt (/ 1 k)))) into 0
1554042598.533 * [taylor]: Taking taylor expansion of 0 in k
1554042598.533 * [backup-simplify]: Simplify 0 into 0
1554042598.533 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1554042598.534 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1554042598.535 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1554042598.535 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042598.535 * [backup-simplify]: Simplify (- 1) into -1
1554042598.536 * [backup-simplify]: Simplify (+ 0 -1) into -1
1554042598.536 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
1554042598.538 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))))
1554042598.539 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
1554042598.542 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0)) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
1554042598.542 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
1554042598.542 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1554042598.543 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
1554042598.544 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1554042598.544 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1554042598.546 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
1554042598.546 * [backup-simplify]: Simplify (- 0) into 0
1554042598.546 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042598.547 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
1554042598.548 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554042598.549 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1554042598.550 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1554042598.551 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0
1554042598.551 * [taylor]: Taking taylor expansion of 0 in k
1554042598.551 * [backup-simplify]: Simplify 0 into 0
1554042598.551 * [backup-simplify]: Simplify 0 into 0
1554042598.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1554042598.554 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1554042598.555 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
1554042598.555 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1554042598.557 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
1554042598.558 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042598.558 * [backup-simplify]: Simplify (- 0) into 0
1554042598.559 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042598.560 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1554042598.563 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1554042598.566 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))))
1554042598.575 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) +nan.0) (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) 0))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))))))))
1554042598.579 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))))))))
1554042598.579 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1554042598.580 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0
1554042598.582 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1554042598.583 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1554042598.588 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
1554042598.589 * [backup-simplify]: Simplify (- 0) into 0
1554042598.589 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042598.591 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 k))))) into 0
1554042598.592 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554042598.594 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
1554042598.596 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1554042598.598 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0
1554042598.598 * [taylor]: Taking taylor expansion of 0 in k
1554042598.598 * [backup-simplify]: Simplify 0 into 0
1554042598.598 * [backup-simplify]: Simplify 0 into 0
1554042598.598 * [backup-simplify]: Simplify 0 into 0
1554042598.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554042598.603 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1554042598.606 * [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
1554042598.607 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1554042598.613 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
1554042598.614 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042598.614 * [backup-simplify]: Simplify (- 0) into 0
1554042598.614 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042598.616 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
1554042598.619 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
1554042598.627 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 3) 6)) (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (pow (log n) 2) (log (* 2 PI)))) (+ (* 1/16 (* (log n) (pow (log (* 2 PI)) 2))) (* 1/48 (pow (log (* 2 PI)) 3))))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
1554042598.643 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) +nan.0) (+ (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) +nan.0) (* (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (pow (log n) 2) (log (* 2 PI)))) (+ (* 1/16 (* (log n) (pow (log (* 2 PI)) 2))) (* 1/48 (pow (log (* 2 PI)) 3))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0)))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))))))))))))))
1554042598.650 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))))))))))))))
1554042598.661 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) (* k 1)) (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))))) into (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))))))))))))))))))))))
1554042598.661 * [backup-simplify]: Simplify (/ (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) (sqrt (/ 1 k))) into (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k))
1554042598.661 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (n k) around 0
1554042598.661 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k
1554042598.661 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
1554042598.661 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1554042598.661 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1554042598.661 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
1554042598.661 * [taylor]: Taking taylor expansion of 1/2 in k
1554042598.661 * [backup-simplify]: Simplify 1/2 into 1/2
1554042598.661 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
1554042598.661 * [taylor]: Taking taylor expansion of 1 in k
1554042598.661 * [backup-simplify]: Simplify 1 into 1
1554042598.661 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1554042598.661 * [taylor]: Taking taylor expansion of k in k
1554042598.661 * [backup-simplify]: Simplify 0 into 0
1554042598.662 * [backup-simplify]: Simplify 1 into 1
1554042598.662 * [backup-simplify]: Simplify (/ 1 1) into 1
1554042598.662 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
1554042598.662 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
1554042598.662 * [taylor]: Taking taylor expansion of 2 in k
1554042598.662 * [backup-simplify]: Simplify 2 into 2
1554042598.662 * [taylor]: Taking taylor expansion of (/ PI n) in k
1554042598.662 * [taylor]: Taking taylor expansion of PI in k
1554042598.662 * [backup-simplify]: Simplify PI into PI
1554042598.662 * [taylor]: Taking taylor expansion of n in k
1554042598.662 * [backup-simplify]: Simplify n into n
1554042598.662 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1554042598.662 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1554042598.662 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1554042598.662 * [backup-simplify]: Simplify (- 1) into -1
1554042598.663 * [backup-simplify]: Simplify (+ 0 -1) into -1
1554042598.663 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
1554042598.663 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1554042598.663 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
1554042598.663 * [taylor]: Taking taylor expansion of (sqrt k) in k
1554042598.663 * [taylor]: Taking taylor expansion of k in k
1554042598.663 * [backup-simplify]: Simplify 0 into 0
1554042598.663 * [backup-simplify]: Simplify 1 into 1
1554042598.663 * [backup-simplify]: Simplify (sqrt 0) into 0
1554042598.664 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1554042598.664 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n
1554042598.664 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
1554042598.664 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1554042598.664 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1554042598.664 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
1554042598.664 * [taylor]: Taking taylor expansion of 1/2 in n
1554042598.664 * [backup-simplify]: Simplify 1/2 into 1/2
1554042598.664 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
1554042598.664 * [taylor]: Taking taylor expansion of 1 in n
1554042598.664 * [backup-simplify]: Simplify 1 into 1
1554042598.664 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1554042598.664 * [taylor]: Taking taylor expansion of k in n
1554042598.664 * [backup-simplify]: Simplify k into k
1554042598.664 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1554042598.664 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1554042598.664 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1554042598.665 * [taylor]: Taking taylor expansion of 2 in n
1554042598.665 * [backup-simplify]: Simplify 2 into 2
1554042598.665 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554042598.665 * [taylor]: Taking taylor expansion of PI in n
1554042598.665 * [backup-simplify]: Simplify PI into PI
1554042598.665 * [taylor]: Taking taylor expansion of n in n
1554042598.665 * [backup-simplify]: Simplify 0 into 0
1554042598.665 * [backup-simplify]: Simplify 1 into 1
1554042598.665 * [backup-simplify]: Simplify (/ PI 1) into PI
1554042598.665 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554042598.666 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554042598.666 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
1554042598.667 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
1554042598.667 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
1554042598.668 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1554042598.669 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
1554042598.670 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
1554042598.670 * [taylor]: Taking taylor expansion of (sqrt k) in n
1554042598.670 * [taylor]: Taking taylor expansion of k in n
1554042598.670 * [backup-simplify]: Simplify k into k
1554042598.670 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
1554042598.670 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
1554042598.671 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n
1554042598.671 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
1554042598.671 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1554042598.671 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1554042598.671 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
1554042598.671 * [taylor]: Taking taylor expansion of 1/2 in n
1554042598.671 * [backup-simplify]: Simplify 1/2 into 1/2
1554042598.671 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
1554042598.671 * [taylor]: Taking taylor expansion of 1 in n
1554042598.671 * [backup-simplify]: Simplify 1 into 1
1554042598.671 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1554042598.671 * [taylor]: Taking taylor expansion of k in n
1554042598.671 * [backup-simplify]: Simplify k into k
1554042598.671 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1554042598.671 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1554042598.671 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1554042598.671 * [taylor]: Taking taylor expansion of 2 in n
1554042598.671 * [backup-simplify]: Simplify 2 into 2
1554042598.671 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554042598.671 * [taylor]: Taking taylor expansion of PI in n
1554042598.671 * [backup-simplify]: Simplify PI into PI
1554042598.671 * [taylor]: Taking taylor expansion of n in n
1554042598.671 * [backup-simplify]: Simplify 0 into 0
1554042598.671 * [backup-simplify]: Simplify 1 into 1
1554042598.672 * [backup-simplify]: Simplify (/ PI 1) into PI
1554042598.672 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554042598.673 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554042598.673 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
1554042598.673 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
1554042598.673 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
1554042598.675 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1554042598.676 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
1554042598.677 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
1554042598.677 * [taylor]: Taking taylor expansion of (sqrt k) in n
1554042598.677 * [taylor]: Taking taylor expansion of k in n
1554042598.677 * [backup-simplify]: Simplify k into k
1554042598.677 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
1554042598.677 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
1554042598.678 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) into (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k))
1554042598.678 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) in k
1554042598.678 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
1554042598.678 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
1554042598.678 * [taylor]: Taking taylor expansion of 1/2 in k
1554042598.678 * [backup-simplify]: Simplify 1/2 into 1/2
1554042598.679 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
1554042598.679 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
1554042598.679 * [taylor]: Taking taylor expansion of 1 in k
1554042598.679 * [backup-simplify]: Simplify 1 into 1
1554042598.679 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1554042598.679 * [taylor]: Taking taylor expansion of k in k
1554042598.679 * [backup-simplify]: Simplify 0 into 0
1554042598.679 * [backup-simplify]: Simplify 1 into 1
1554042598.679 * [backup-simplify]: Simplify (/ 1 1) into 1
1554042598.679 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1554042598.679 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1554042598.679 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1554042598.679 * [taylor]: Taking taylor expansion of 2 in k
1554042598.679 * [backup-simplify]: Simplify 2 into 2
1554042598.679 * [taylor]: Taking taylor expansion of PI in k
1554042598.679 * [backup-simplify]: Simplify PI into PI
1554042598.680 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554042598.681 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554042598.681 * [taylor]: Taking taylor expansion of (log n) in k
1554042598.681 * [taylor]: Taking taylor expansion of n in k
1554042598.681 * [backup-simplify]: Simplify n into n
1554042598.681 * [backup-simplify]: Simplify (log n) into (log n)
1554042598.681 * [backup-simplify]: Simplify (- 1) into -1
1554042598.681 * [backup-simplify]: Simplify (+ 0 -1) into -1
1554042598.682 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1554042598.682 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1554042598.683 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
1554042598.684 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1554042598.686 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
1554042598.686 * [taylor]: Taking taylor expansion of (sqrt k) in k
1554042598.686 * [taylor]: Taking taylor expansion of k in k
1554042598.686 * [backup-simplify]: Simplify 0 into 0
1554042598.686 * [backup-simplify]: Simplify 1 into 1
1554042598.686 * [backup-simplify]: Simplify (sqrt 0) into 0
1554042598.687 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1554042598.688 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) into 0
1554042598.688 * [backup-simplify]: Simplify 0 into 0
1554042598.689 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1554042598.690 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1554042598.692 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1554042598.692 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1554042598.693 * [backup-simplify]: Simplify (- 0) into 0
1554042598.693 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042598.694 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0
1554042598.695 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1554042598.696 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1554042598.698 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
1554042598.699 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (* 0 (sqrt k))) into 0
1554042598.699 * [taylor]: Taking taylor expansion of 0 in k
1554042598.699 * [backup-simplify]: Simplify 0 into 0
1554042598.699 * [backup-simplify]: Simplify 0 into 0
1554042598.701 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
1554042598.702 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
1554042598.703 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
1554042598.704 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554042598.705 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1554042598.708 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
1554042598.708 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1554042598.709 * [backup-simplify]: Simplify (- 0) into 0
1554042598.709 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042598.710 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
1554042598.712 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1554042598.713 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
1554042598.716 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1554042598.717 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0
1554042598.717 * [taylor]: Taking taylor expansion of 0 in k
1554042598.717 * [backup-simplify]: Simplify 0 into 0
1554042598.717 * [backup-simplify]: Simplify 0 into 0
1554042598.717 * [backup-simplify]: Simplify 0 into 0
1554042598.720 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1554042598.722 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
1554042598.723 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
1554042598.724 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
1554042598.725 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554042598.726 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1554042598.732 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
1554042598.733 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1554042598.733 * [backup-simplify]: Simplify (- 0) into 0
1554042598.733 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042598.735 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
1554042598.736 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1554042598.738 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
1554042598.741 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1554042598.743 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0
1554042598.743 * [taylor]: Taking taylor expansion of 0 in k
1554042598.743 * [backup-simplify]: Simplify 0 into 0
1554042598.743 * [backup-simplify]: Simplify 0 into 0
1554042598.743 * [backup-simplify]: Simplify 0 into 0
1554042598.743 * [backup-simplify]: Simplify 0 into 0
1554042598.749 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1554042598.752 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
1554042598.753 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
1554042598.757 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3))))))))
1554042598.758 * [backup-simplify]: Simplify (/ (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) (sqrt (/ 1 (- k)))) into (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k)))
1554042598.758 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (n k) around 0
1554042598.758 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k
1554042598.758 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
1554042598.758 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
1554042598.758 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
1554042598.758 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
1554042598.758 * [taylor]: Taking taylor expansion of 1/2 in k
1554042598.758 * [backup-simplify]: Simplify 1/2 into 1/2
1554042598.758 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
1554042598.758 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1554042598.758 * [taylor]: Taking taylor expansion of k in k
1554042598.758 * [backup-simplify]: Simplify 0 into 0
1554042598.758 * [backup-simplify]: Simplify 1 into 1
1554042598.759 * [backup-simplify]: Simplify (/ 1 1) into 1
1554042598.759 * [taylor]: Taking taylor expansion of 1 in k
1554042598.759 * [backup-simplify]: Simplify 1 into 1
1554042598.759 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
1554042598.759 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
1554042598.759 * [taylor]: Taking taylor expansion of -2 in k
1554042598.759 * [backup-simplify]: Simplify -2 into -2
1554042598.759 * [taylor]: Taking taylor expansion of (/ PI n) in k
1554042598.759 * [taylor]: Taking taylor expansion of PI in k
1554042598.759 * [backup-simplify]: Simplify PI into PI
1554042598.759 * [taylor]: Taking taylor expansion of n in k
1554042598.759 * [backup-simplify]: Simplify n into n
1554042598.759 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1554042598.759 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1554042598.760 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1554042598.760 * [backup-simplify]: Simplify (+ 1 0) into 1
1554042598.760 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1554042598.761 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1554042598.761 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
1554042598.761 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
1554042598.761 * [taylor]: Taking taylor expansion of (/ -1 k) in k
1554042598.761 * [taylor]: Taking taylor expansion of -1 in k
1554042598.761 * [backup-simplify]: Simplify -1 into -1
1554042598.761 * [taylor]: Taking taylor expansion of k in k
1554042598.761 * [backup-simplify]: Simplify 0 into 0
1554042598.761 * [backup-simplify]: Simplify 1 into 1
1554042598.761 * [backup-simplify]: Simplify (/ -1 1) into -1
1554042598.762 * [backup-simplify]: Simplify (sqrt 0) into 0
1554042598.763 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1554042598.763 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))
1554042598.763 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n
1554042598.764 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
1554042598.764 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
1554042598.764 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
1554042598.764 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
1554042598.764 * [taylor]: Taking taylor expansion of 1/2 in n
1554042598.764 * [backup-simplify]: Simplify 1/2 into 1/2
1554042598.764 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
1554042598.764 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1554042598.764 * [taylor]: Taking taylor expansion of k in n
1554042598.764 * [backup-simplify]: Simplify k into k
1554042598.764 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1554042598.764 * [taylor]: Taking taylor expansion of 1 in n
1554042598.764 * [backup-simplify]: Simplify 1 into 1
1554042598.764 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1554042598.764 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1554042598.764 * [taylor]: Taking taylor expansion of -2 in n
1554042598.764 * [backup-simplify]: Simplify -2 into -2
1554042598.764 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554042598.764 * [taylor]: Taking taylor expansion of PI in n
1554042598.764 * [backup-simplify]: Simplify PI into PI
1554042598.764 * [taylor]: Taking taylor expansion of n in n
1554042598.764 * [backup-simplify]: Simplify 0 into 0
1554042598.764 * [backup-simplify]: Simplify 1 into 1
1554042598.765 * [backup-simplify]: Simplify (/ PI 1) into PI
1554042598.765 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1554042598.766 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1554042598.766 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
1554042598.766 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
1554042598.768 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1554042598.769 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
1554042598.770 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
1554042598.770 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
1554042598.770 * [taylor]: Taking taylor expansion of (/ -1 k) in n
1554042598.770 * [taylor]: Taking taylor expansion of -1 in n
1554042598.770 * [backup-simplify]: Simplify -1 into -1
1554042598.770 * [taylor]: Taking taylor expansion of k in n
1554042598.770 * [backup-simplify]: Simplify k into k
1554042598.770 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
1554042598.770 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1554042598.770 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1554042598.770 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1554042598.771 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k)))
1554042598.772 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n
1554042598.772 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
1554042598.772 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
1554042598.772 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
1554042598.772 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
1554042598.772 * [taylor]: Taking taylor expansion of 1/2 in n
1554042598.772 * [backup-simplify]: Simplify 1/2 into 1/2
1554042598.772 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
1554042598.772 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1554042598.772 * [taylor]: Taking taylor expansion of k in n
1554042598.772 * [backup-simplify]: Simplify k into k
1554042598.772 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1554042598.772 * [taylor]: Taking taylor expansion of 1 in n
1554042598.772 * [backup-simplify]: Simplify 1 into 1
1554042598.772 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1554042598.772 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1554042598.772 * [taylor]: Taking taylor expansion of -2 in n
1554042598.772 * [backup-simplify]: Simplify -2 into -2
1554042598.772 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554042598.772 * [taylor]: Taking taylor expansion of PI in n
1554042598.772 * [backup-simplify]: Simplify PI into PI
1554042598.772 * [taylor]: Taking taylor expansion of n in n
1554042598.772 * [backup-simplify]: Simplify 0 into 0
1554042598.772 * [backup-simplify]: Simplify 1 into 1
1554042598.773 * [backup-simplify]: Simplify (/ PI 1) into PI
1554042598.773 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1554042598.774 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1554042598.774 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
1554042598.774 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
1554042598.775 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1554042598.776 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
1554042598.778 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
1554042598.778 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
1554042598.778 * [taylor]: Taking taylor expansion of (/ -1 k) in n
1554042598.778 * [taylor]: Taking taylor expansion of -1 in n
1554042598.778 * [backup-simplify]: Simplify -1 into -1
1554042598.778 * [taylor]: Taking taylor expansion of k in n
1554042598.778 * [backup-simplify]: Simplify k into k
1554042598.778 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
1554042598.778 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1554042598.778 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1554042598.778 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1554042598.779 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k)))
1554042598.779 * [taylor]: Taking taylor expansion of (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) in k
1554042598.779 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
1554042598.779 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
1554042598.779 * [taylor]: Taking taylor expansion of 1/2 in k
1554042598.780 * [backup-simplify]: Simplify 1/2 into 1/2
1554042598.780 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
1554042598.780 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
1554042598.780 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1554042598.780 * [taylor]: Taking taylor expansion of k in k
1554042598.780 * [backup-simplify]: Simplify 0 into 0
1554042598.780 * [backup-simplify]: Simplify 1 into 1
1554042598.780 * [backup-simplify]: Simplify (/ 1 1) into 1
1554042598.780 * [taylor]: Taking taylor expansion of 1 in k
1554042598.780 * [backup-simplify]: Simplify 1 into 1
1554042598.780 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
1554042598.780 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
1554042598.780 * [taylor]: Taking taylor expansion of (* -2 PI) in k
1554042598.780 * [taylor]: Taking taylor expansion of -2 in k
1554042598.780 * [backup-simplify]: Simplify -2 into -2
1554042598.780 * [taylor]: Taking taylor expansion of PI in k
1554042598.780 * [backup-simplify]: Simplify PI into PI
1554042598.781 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1554042598.781 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1554042598.781 * [taylor]: Taking taylor expansion of (log n) in k
1554042598.781 * [taylor]: Taking taylor expansion of n in k
1554042598.781 * [backup-simplify]: Simplify n into n
1554042598.781 * [backup-simplify]: Simplify (log n) into (log n)
1554042598.782 * [backup-simplify]: Simplify (+ 1 0) into 1
1554042598.782 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1554042598.782 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
1554042598.783 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
1554042598.784 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
1554042598.784 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
1554042598.784 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
1554042598.784 * [taylor]: Taking taylor expansion of (/ -1 k) in k
1554042598.784 * [taylor]: Taking taylor expansion of -1 in k
1554042598.784 * [backup-simplify]: Simplify -1 into -1
1554042598.784 * [taylor]: Taking taylor expansion of k in k
1554042598.784 * [backup-simplify]: Simplify 0 into 0
1554042598.784 * [backup-simplify]: Simplify 1 into 1
1554042598.785 * [backup-simplify]: Simplify (/ -1 1) into -1
1554042598.785 * [backup-simplify]: Simplify (sqrt 0) into 0
1554042598.786 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1554042598.786 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
1554042598.787 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
1554042598.788 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1554042598.788 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1554042598.789 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1554042598.789 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1554042598.789 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042598.790 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0
1554042598.790 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1554042598.791 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1554042598.792 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
1554042598.793 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0
1554042598.793 * [taylor]: Taking taylor expansion of 0 in k
1554042598.793 * [backup-simplify]: Simplify 0 into 0
1554042598.793 * [backup-simplify]: Simplify 0 into 0
1554042598.794 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1554042598.795 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1554042598.796 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
1554042598.797 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
1554042598.798 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554042598.798 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1554042598.800 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0
1554042598.800 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1554042598.800 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042598.801 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
1554042598.802 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1554042598.803 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
1554042598.804 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1554042598.804 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1554042598.805 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
1554042598.805 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0
1554042598.806 * [taylor]: Taking taylor expansion of 0 in k
1554042598.806 * [backup-simplify]: Simplify 0 into 0
1554042598.806 * [backup-simplify]: Simplify 0 into 0
1554042598.806 * [backup-simplify]: Simplify 0 into 0
1554042598.806 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554042598.809 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1554042598.811 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
1554042598.811 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
1554042598.815 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))))))))
1554042598.815 * * * [progress]: simplifying candidates
1554042598.815 * * * * [progress]: [ 1 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2))) (sqrt k)))>
1554042598.816 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2))
1554042598.816 * * [simplify]: iters left: 6 (13 enodes)
1554042598.824 * * [simplify]: iters left: 5 (54 enodes)
1554042598.842 * * [simplify]: iters left: 4 (97 enodes)
1554042598.885 * * [simplify]: iters left: 3 (242 enodes)
1554042598.968 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042598.968 * * [simplify]: Extracting #1: cost 28 inf + 0
1554042598.968 * * [simplify]: Extracting #2: cost 93 inf + 2
1554042598.968 * * [simplify]: Extracting #3: cost 139 inf + 75
1554042598.969 * * [simplify]: Extracting #4: cost 102 inf + 5195
1554042598.976 * * [simplify]: Extracting #5: cost 14 inf + 28777
1554042598.982 * * [simplify]: Extracting #6: cost 0 inf + 33789
1554042598.989 * [simplify]: Simplified to (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2)
1554042598.989 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2)) (sqrt k)))
1554042598.989 * * * * [progress]: [ 2 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2))) (sqrt k)))>
1554042598.989 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2))
1554042598.989 * * [simplify]: iters left: 6 (12 enodes)
1554042598.994 * * [simplify]: iters left: 5 (52 enodes)
1554042599.003 * * [simplify]: iters left: 4 (90 enodes)
1554042599.020 * * [simplify]: iters left: 3 (201 enodes)
1554042599.097 * * [simplify]: iters left: 2 (496 enodes)
1554042599.361 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042599.361 * * [simplify]: Extracting #1: cost 22 inf + 0
1554042599.361 * * [simplify]: Extracting #2: cost 122 inf + 2
1554042599.363 * * [simplify]: Extracting #3: cost 296 inf + 186
1554042599.367 * * [simplify]: Extracting #4: cost 252 inf + 7310
1554042599.387 * * [simplify]: Extracting #5: cost 66 inf + 59079
1554042599.407 * * [simplify]: Extracting #6: cost 1 inf + 82178
1554042599.431 * * [simplify]: Extracting #7: cost 0 inf + 82436
1554042599.465 * [simplify]: Simplified to (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2)
1554042599.466 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2)) (sqrt k)))
1554042599.466 * * * * [progress]: [ 3 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* n (* 2 PI))) (/ (- 1 k) 2))) (sqrt k)))>
1554042599.466 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (- 1 k) 2))
1554042599.466 * * [simplify]: iters left: 6 (11 enodes)
1554042599.473 * * [simplify]: iters left: 5 (51 enodes)
1554042599.489 * * [simplify]: iters left: 4 (97 enodes)
1554042599.506 * * [simplify]: iters left: 3 (197 enodes)
1554042599.582 * * [simplify]: iters left: 2 (491 enodes)
1554042599.885 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042599.886 * * [simplify]: Extracting #1: cost 27 inf + 0
1554042599.886 * * [simplify]: Extracting #2: cost 139 inf + 2
1554042599.888 * * [simplify]: Extracting #3: cost 300 inf + 382
1554042599.893 * * [simplify]: Extracting #4: cost 242 inf + 10228
1554042599.913 * * [simplify]: Extracting #5: cost 53 inf + 57829
1554042599.944 * * [simplify]: Extracting #6: cost 2 inf + 73504
1554042599.976 * * [simplify]: Extracting #7: cost 0 inf + 74187
1554042600.012 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)
1554042600.013 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) (sqrt k)))
1554042600.013 * * * * [progress]: [ 4 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* n (* 2 PI))) (/ (- 1 k) 2))) (sqrt k)))>
1554042600.013 * * * * [progress]: [ 5 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (* 1 (/ (- 1 k) 2))) (sqrt k)))>
1554042600.013 * [simplify]: Simplifying (* n (* 2 PI))
1554042600.013 * * [simplify]: iters left: 4 (5 enodes)
1554042600.016 * * [simplify]: iters left: 3 (19 enodes)
1554042600.022 * * [simplify]: iters left: 2 (27 enodes)
1554042600.031 * * [simplify]: iters left: 1 (32 enodes)
1554042600.039 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042600.039 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042600.039 * * [simplify]: Extracting #2: cost 7 inf + 45
1554042600.039 * * [simplify]: Extracting #3: cost 0 inf + 421
1554042600.039 * [simplify]: Simplified to (* (* PI 2) n)
1554042600.039 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (sqrt k)))
1554042600.040 * * * * [progress]: [ 6 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (* 1 (/ (- 1 k) 2))) (sqrt k)))>
1554042600.040 * [simplify]: Simplifying (* n (* 2 PI))
1554042600.040 * * [simplify]: iters left: 4 (5 enodes)
1554042600.043 * * [simplify]: iters left: 3 (19 enodes)
1554042600.050 * * [simplify]: iters left: 2 (27 enodes)
1554042600.058 * * [simplify]: iters left: 1 (32 enodes)
1554042600.067 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042600.067 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042600.067 * * [simplify]: Extracting #2: cost 7 inf + 45
1554042600.067 * * [simplify]: Extracting #3: cost 0 inf + 421
1554042600.067 * [simplify]: Simplified to (* (* PI 2) n)
1554042600.068 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (sqrt k)))
1554042600.068 * * * * [progress]: [ 7 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (* 1 (/ (- 1 k) 2))) (sqrt k)))>
1554042600.068 * [simplify]: Simplifying (* n (* 2 PI))
1554042600.068 * * [simplify]: iters left: 4 (5 enodes)
1554042600.071 * * [simplify]: iters left: 3 (19 enodes)
1554042600.078 * * [simplify]: iters left: 2 (27 enodes)
1554042600.084 * * [simplify]: iters left: 1 (32 enodes)
1554042600.088 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042600.088 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042600.088 * * [simplify]: Extracting #2: cost 7 inf + 45
1554042600.088 * * [simplify]: Extracting #3: cost 0 inf + 421
1554042600.088 * [simplify]: Simplified to (* (* PI 2) n)
1554042600.088 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (sqrt k)))
1554042600.088 * * * * [progress]: [ 8 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ 1 2)) (pow (* n (* 2 PI)) (/ k 2))) (sqrt k)))>
1554042600.089 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ k 2))
1554042600.089 * * [simplify]: iters left: 5 (8 enodes)
1554042600.091 * * [simplify]: iters left: 4 (31 enodes)
1554042600.097 * * [simplify]: iters left: 3 (51 enodes)
1554042600.106 * * [simplify]: iters left: 2 (85 enodes)
1554042600.123 * * [simplify]: iters left: 1 (152 enodes)
1554042600.153 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042600.153 * * [simplify]: Extracting #1: cost 13 inf + 0
1554042600.153 * * [simplify]: Extracting #2: cost 59 inf + 1
1554042600.154 * * [simplify]: Extracting #3: cost 76 inf + 9
1554042600.154 * * [simplify]: Extracting #4: cost 41 inf + 3303
1554042600.156 * * [simplify]: Extracting #5: cost 16 inf + 10676
1554042600.159 * * [simplify]: Extracting #6: cost 0 inf + 21028
1554042600.162 * * [simplify]: Extracting #7: cost 0 inf + 20456
1554042600.167 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2))
1554042600.167 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt k)))
1554042600.167 * * * * [progress]: [ 9 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))) (sqrt k)))>
1554042600.168 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2))
1554042600.168 * * [simplify]: iters left: 5 (6 enodes)
1554042600.172 * * [simplify]: iters left: 4 (26 enodes)
1554042600.179 * * [simplify]: iters left: 3 (35 enodes)
1554042600.184 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042600.184 * * [simplify]: Extracting #1: cost 3 inf + 0
1554042600.184 * * [simplify]: Extracting #2: cost 8 inf + 0
1554042600.184 * * [simplify]: Extracting #3: cost 11 inf + 2
1554042600.184 * * [simplify]: Extracting #4: cost 8 inf + 87
1554042600.184 * * [simplify]: Extracting #5: cost 2 inf + 500
1554042600.185 * * [simplify]: Extracting #6: cost 0 inf + 746
1554042600.185 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2))
1554042600.185 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))) (sqrt k)))
1554042600.185 * * * * [progress]: [ 10 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (sqrt k)))>
1554042600.185 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2))
1554042600.185 * * [simplify]: iters left: 5 (6 enodes)
1554042600.187 * * [simplify]: iters left: 4 (26 enodes)
1554042600.192 * * [simplify]: iters left: 3 (35 enodes)
1554042600.197 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042600.197 * * [simplify]: Extracting #1: cost 3 inf + 0
1554042600.197 * * [simplify]: Extracting #2: cost 8 inf + 0
1554042600.197 * * [simplify]: Extracting #3: cost 11 inf + 2
1554042600.197 * * [simplify]: Extracting #4: cost 8 inf + 87
1554042600.199 * * [simplify]: Extracting #5: cost 2 inf + 460
1554042600.199 * * [simplify]: Extracting #6: cost 0 inf + 666
1554042600.199 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2))
1554042600.199 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (sqrt k)))
1554042600.199 * * * * [progress]: [ 11 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))) (sqrt k)))>
1554042600.200 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2))
1554042600.200 * * [simplify]: iters left: 5 (7 enodes)
1554042600.202 * * [simplify]: iters left: 4 (25 enodes)
1554042600.207 * * [simplify]: iters left: 3 (30 enodes)
1554042600.215 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042600.215 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042600.215 * * [simplify]: Extracting #2: cost 8 inf + 0
1554042600.215 * * [simplify]: Extracting #3: cost 10 inf + 82
1554042600.216 * * [simplify]: Extracting #4: cost 7 inf + 206
1554042600.216 * * [simplify]: Extracting #5: cost 2 inf + 575
1554042600.216 * * [simplify]: Extracting #6: cost 1 inf + 818
1554042600.216 * * [simplify]: Extracting #7: cost 0 inf + 1061
1554042600.217 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2))
1554042600.217 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))) (sqrt k)))
1554042600.217 * * * * [progress]: [ 12 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2))) (sqrt k)))>
1554042600.217 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2))
1554042600.217 * * [simplify]: iters left: 5 (7 enodes)
1554042600.222 * * [simplify]: iters left: 4 (25 enodes)
1554042600.230 * * [simplify]: iters left: 3 (30 enodes)
1554042600.239 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042600.239 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042600.239 * * [simplify]: Extracting #2: cost 8 inf + 0
1554042600.239 * * [simplify]: Extracting #3: cost 10 inf + 42
1554042600.239 * * [simplify]: Extracting #4: cost 7 inf + 126
1554042600.240 * * [simplify]: Extracting #5: cost 2 inf + 495
1554042600.240 * * [simplify]: Extracting #6: cost 1 inf + 698
1554042600.240 * * [simplify]: Extracting #7: cost 0 inf + 901
1554042600.241 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2))
1554042600.241 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2))) (sqrt k)))
1554042600.241 * * * * [progress]: [ 13 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2)) (sqrt k)))>
1554042600.241 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2)
1554042600.241 * * [simplify]: iters left: 5 (6 enodes)
1554042600.245 * * [simplify]: iters left: 4 (22 enodes)
1554042600.252 * * [simplify]: iters left: 3 (27 enodes)
1554042600.260 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042600.260 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042600.260 * * [simplify]: Extracting #2: cost 5 inf + 1
1554042600.260 * * [simplify]: Extracting #3: cost 9 inf + 1
1554042600.260 * * [simplify]: Extracting #4: cost 8 inf + 3
1554042600.260 * * [simplify]: Extracting #5: cost 4 inf + 169
1554042600.261 * * [simplify]: Extracting #6: cost 1 inf + 576
1554042600.261 * * [simplify]: Extracting #7: cost 0 inf + 739
1554042600.261 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2)
1554042600.261 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2)) (sqrt k)))
1554042600.261 * * * * [progress]: [ 14 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))) (sqrt k)))>
1554042600.261 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2))
1554042600.261 * * [simplify]: iters left: 5 (7 enodes)
1554042600.264 * * [simplify]: iters left: 4 (25 enodes)
1554042600.268 * * [simplify]: iters left: 3 (30 enodes)
1554042600.273 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042600.273 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042600.273 * * [simplify]: Extracting #2: cost 8 inf + 0
1554042600.273 * * [simplify]: Extracting #3: cost 10 inf + 82
1554042600.273 * * [simplify]: Extracting #4: cost 7 inf + 206
1554042600.273 * * [simplify]: Extracting #5: cost 2 inf + 495
1554042600.273 * * [simplify]: Extracting #6: cost 1 inf + 698
1554042600.273 * * [simplify]: Extracting #7: cost 0 inf + 901
1554042600.274 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2))
1554042600.274 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))) (sqrt k)))
1554042600.274 * * * * [progress]: [ 15 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))) (sqrt k)))>
1554042600.274 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2))
1554042600.274 * * [simplify]: iters left: 5 (7 enodes)
1554042600.276 * * [simplify]: iters left: 4 (25 enodes)
1554042600.281 * * [simplify]: iters left: 3 (30 enodes)
1554042600.286 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042600.286 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042600.286 * * [simplify]: Extracting #2: cost 8 inf + 0
1554042600.286 * * [simplify]: Extracting #3: cost 10 inf + 42
1554042600.286 * * [simplify]: Extracting #4: cost 7 inf + 126
1554042600.286 * * [simplify]: Extracting #5: cost 2 inf + 415
1554042600.286 * * [simplify]: Extracting #6: cost 1 inf + 578
1554042600.286 * * [simplify]: Extracting #7: cost 0 inf + 741
1554042600.286 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2))
1554042600.286 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))) (sqrt k)))
1554042600.287 * * * * [progress]: [ 16 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)) (sqrt k)))>
1554042600.287 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2)
1554042600.287 * * [simplify]: iters left: 5 (6 enodes)
1554042600.289 * * [simplify]: iters left: 4 (22 enodes)
1554042600.293 * * [simplify]: iters left: 3 (27 enodes)
1554042600.297 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042600.297 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042600.298 * * [simplify]: Extracting #2: cost 5 inf + 1
1554042600.298 * * [simplify]: Extracting #3: cost 9 inf + 1
1554042600.298 * * [simplify]: Extracting #4: cost 8 inf + 3
1554042600.298 * * [simplify]: Extracting #5: cost 4 inf + 169
1554042600.298 * * [simplify]: Extracting #6: cost 1 inf + 456
1554042600.298 * * [simplify]: Extracting #7: cost 0 inf + 579
1554042600.298 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2)
1554042600.298 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)) (sqrt k)))
1554042600.298 * * * * [progress]: [ 17 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (sqrt k)))>
1554042600.298 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2))
1554042600.299 * * [simplify]: iters left: 4 (6 enodes)
1554042600.301 * * [simplify]: iters left: 3 (25 enodes)
1554042600.305 * * [simplify]: iters left: 2 (36 enodes)
1554042600.313 * * [simplify]: iters left: 1 (40 enodes)
1554042600.319 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042600.319 * * [simplify]: Extracting #1: cost 7 inf + 0
1554042600.319 * * [simplify]: Extracting #2: cost 16 inf + 0
1554042600.319 * * [simplify]: Extracting #3: cost 13 inf + 44
1554042600.320 * * [simplify]: Extracting #4: cost 3 inf + 1103
1554042600.320 * * [simplify]: Extracting #5: cost 0 inf + 1469
1554042600.320 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2))
1554042600.320 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (sqrt k)))
1554042600.320 * * * * [progress]: [ 18 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt k)))>
1554042600.320 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2))
1554042600.320 * * [simplify]: iters left: 4 (6 enodes)
1554042600.323 * * [simplify]: iters left: 3 (25 enodes)
1554042600.327 * * [simplify]: iters left: 2 (36 enodes)
1554042600.333 * * [simplify]: iters left: 1 (40 enodes)
1554042600.339 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042600.339 * * [simplify]: Extracting #1: cost 7 inf + 0
1554042600.339 * * [simplify]: Extracting #2: cost 16 inf + 0
1554042600.339 * * [simplify]: Extracting #3: cost 13 inf + 44
1554042600.339 * * [simplify]: Extracting #4: cost 3 inf + 823
1554042600.340 * * [simplify]: Extracting #5: cost 0 inf + 1069
1554042600.340 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2))
1554042600.340 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt k)))
1554042600.340 * * * * [progress]: [ 19 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (sqrt k)))>
1554042600.340 * [simplify]: Simplifying (/ (- 1 k) 2)
1554042600.340 * * [simplify]: iters left: 4 (5 enodes)
1554042600.342 * * [simplify]: iters left: 3 (23 enodes)
1554042600.346 * * [simplify]: iters left: 2 (32 enodes)
1554042600.351 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042600.351 * * [simplify]: Extracting #1: cost 6 inf + 0
1554042600.351 * * [simplify]: Extracting #2: cost 9 inf + 2
1554042600.351 * * [simplify]: Extracting #3: cost 6 inf + 87
1554042600.352 * * [simplify]: Extracting #4: cost 0 inf + 420
1554042600.352 * [simplify]: Simplified to (/ (- 1 k) 2)
1554042600.352 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (sqrt k)))
1554042600.352 * * * * [progress]: [ 20 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- (sqrt 1) (sqrt k)) (cbrt 2))) (sqrt k)))>
1554042600.352 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2))
1554042600.352 * * [simplify]: iters left: 5 (8 enodes)
1554042600.355 * * [simplify]: iters left: 4 (31 enodes)
1554042600.364 * * [simplify]: iters left: 3 (45 enodes)
1554042600.377 * * [simplify]: iters left: 2 (51 enodes)
1554042600.392 * * [simplify]: iters left: 1 (52 enodes)
1554042600.406 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042600.406 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042600.406 * * [simplify]: Extracting #2: cost 18 inf + 0
1554042600.406 * * [simplify]: Extracting #3: cost 19 inf + 2
1554042600.407 * * [simplify]: Extracting #4: cost 9 inf + 977
1554042600.407 * * [simplify]: Extracting #5: cost 2 inf + 1790
1554042600.408 * * [simplify]: Extracting #6: cost 0 inf + 2195
1554042600.409 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2))
1554042600.409 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (sqrt k)))
1554042600.409 * * * * [progress]: [ 21 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- (sqrt 1) (sqrt k)) (sqrt 2))) (sqrt k)))>
1554042600.409 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2))
1554042600.409 * * [simplify]: iters left: 5 (8 enodes)
1554042600.412 * * [simplify]: iters left: 4 (31 enodes)
1554042600.417 * * [simplify]: iters left: 3 (45 enodes)
1554042600.426 * * [simplify]: iters left: 2 (51 enodes)
1554042600.434 * * [simplify]: iters left: 1 (52 enodes)
1554042600.441 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042600.441 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042600.441 * * [simplify]: Extracting #2: cost 18 inf + 0
1554042600.441 * * [simplify]: Extracting #3: cost 19 inf + 2
1554042600.441 * * [simplify]: Extracting #4: cost 9 inf + 697
1554042600.441 * * [simplify]: Extracting #5: cost 2 inf + 1390
1554042600.442 * * [simplify]: Extracting #6: cost 0 inf + 1715
1554042600.442 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2))
1554042600.442 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (sqrt k)))
1554042600.442 * * * * [progress]: [ 22 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- (sqrt 1) (sqrt k)) 2)) (sqrt k)))>
1554042600.442 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2)
1554042600.443 * * [simplify]: iters left: 5 (7 enodes)
1554042600.446 * * [simplify]: iters left: 4 (29 enodes)
1554042600.456 * * [simplify]: iters left: 3 (43 enodes)
1554042600.468 * * [simplify]: iters left: 2 (47 enodes)
1554042600.477 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042600.477 * * [simplify]: Extracting #1: cost 7 inf + 0
1554042600.477 * * [simplify]: Extracting #2: cost 11 inf + 2
1554042600.477 * * [simplify]: Extracting #3: cost 13 inf + 3
1554042600.477 * * [simplify]: Extracting #4: cost 11 inf + 45
1554042600.477 * * [simplify]: Extracting #5: cost 0 inf + 1066
1554042600.477 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2)
1554042600.478 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)))
1554042600.478 * * * * [progress]: [ 23 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (sqrt k)))>
1554042600.478 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2))
1554042600.478 * * [simplify]: iters left: 5 (7 enodes)
1554042600.480 * * [simplify]: iters left: 4 (28 enodes)
1554042600.485 * * [simplify]: iters left: 3 (39 enodes)
1554042600.492 * * [simplify]: iters left: 2 (43 enodes)
1554042600.498 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042600.498 * * [simplify]: Extracting #1: cost 7 inf + 0
1554042600.498 * * [simplify]: Extracting #2: cost 16 inf + 0
1554042600.498 * * [simplify]: Extracting #3: cost 15 inf + 164
1554042600.498 * * [simplify]: Extracting #4: cost 13 inf + 287
1554042600.499 * * [simplify]: Extracting #5: cost 5 inf + 1180
1554042600.499 * * [simplify]: Extracting #6: cost 0 inf + 1951
1554042600.499 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2))
1554042600.499 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (sqrt k)))
1554042600.499 * * * * [progress]: [ 24 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (sqrt k)))>
1554042600.499 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2))
1554042600.500 * * [simplify]: iters left: 5 (7 enodes)
1554042600.502 * * [simplify]: iters left: 4 (28 enodes)
1554042600.507 * * [simplify]: iters left: 3 (39 enodes)
1554042600.513 * * [simplify]: iters left: 2 (43 enodes)
1554042600.522 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042600.522 * * [simplify]: Extracting #1: cost 7 inf + 0
1554042600.522 * * [simplify]: Extracting #2: cost 16 inf + 0
1554042600.522 * * [simplify]: Extracting #3: cost 15 inf + 84
1554042600.522 * * [simplify]: Extracting #4: cost 13 inf + 167
1554042600.522 * * [simplify]: Extracting #5: cost 5 inf + 900
1554042600.522 * * [simplify]: Extracting #6: cost 0 inf + 1551
1554042600.523 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2))
1554042600.523 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (sqrt k)))
1554042600.523 * * * * [progress]: [ 25 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)))>
1554042600.523 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2)
1554042600.523 * * [simplify]: iters left: 5 (6 enodes)
1554042600.526 * * [simplify]: iters left: 4 (26 enodes)
1554042600.534 * * [simplify]: iters left: 3 (35 enodes)
1554042600.545 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042600.545 * * [simplify]: Extracting #1: cost 6 inf + 0
1554042600.545 * * [simplify]: Extracting #2: cost 9 inf + 2
1554042600.545 * * [simplify]: Extracting #3: cost 11 inf + 3
1554042600.545 * * [simplify]: Extracting #4: cost 10 inf + 4
1554042600.545 * * [simplify]: Extracting #5: cost 3 inf + 535
1554042600.545 * * [simplify]: Extracting #6: cost 0 inf + 822
1554042600.546 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2)
1554042600.546 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)))
1554042600.546 * * * * [progress]: [ 26 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (sqrt k)))>
1554042600.546 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2))
1554042600.546 * * [simplify]: iters left: 4 (6 enodes)
1554042600.550 * * [simplify]: iters left: 3 (25 enodes)
1554042600.559 * * [simplify]: iters left: 2 (36 enodes)
1554042600.570 * * [simplify]: iters left: 1 (40 enodes)
1554042600.578 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042600.578 * * [simplify]: Extracting #1: cost 7 inf + 0
1554042600.578 * * [simplify]: Extracting #2: cost 16 inf + 0
1554042600.578 * * [simplify]: Extracting #3: cost 13 inf + 44
1554042600.578 * * [simplify]: Extracting #4: cost 3 inf + 1103
1554042600.578 * * [simplify]: Extracting #5: cost 0 inf + 1469
1554042600.579 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2))
1554042600.579 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (sqrt k)))
1554042600.579 * * * * [progress]: [ 27 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt k)))>
1554042600.579 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2))
1554042600.579 * * [simplify]: iters left: 4 (6 enodes)
1554042600.581 * * [simplify]: iters left: 3 (25 enodes)
1554042600.586 * * [simplify]: iters left: 2 (36 enodes)
1554042600.592 * * [simplify]: iters left: 1 (40 enodes)
1554042600.598 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042600.598 * * [simplify]: Extracting #1: cost 7 inf + 0
1554042600.598 * * [simplify]: Extracting #2: cost 16 inf + 0
1554042600.599 * * [simplify]: Extracting #3: cost 13 inf + 44
1554042600.599 * * [simplify]: Extracting #4: cost 3 inf + 823
1554042600.599 * * [simplify]: Extracting #5: cost 0 inf + 1069
1554042600.599 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2))
1554042600.599 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt k)))
1554042600.599 * * * * [progress]: [ 28 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (sqrt k)))>
1554042600.599 * [simplify]: Simplifying (/ (- 1 k) 2)
1554042600.600 * * [simplify]: iters left: 4 (5 enodes)
1554042600.602 * * [simplify]: iters left: 3 (23 enodes)
1554042600.610 * * [simplify]: iters left: 2 (32 enodes)
1554042600.619 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042600.619 * * [simplify]: Extracting #1: cost 6 inf + 0
1554042600.619 * * [simplify]: Extracting #2: cost 9 inf + 2
1554042600.619 * * [simplify]: Extracting #3: cost 6 inf + 87
1554042600.619 * * [simplify]: Extracting #4: cost 0 inf + 420
1554042600.619 * [simplify]: Simplified to (/ (- 1 k) 2)
1554042600.619 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (sqrt k)))
1554042600.619 * * * * [progress]: [ 29 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (sqrt k)))>
1554042600.620 * [simplify]: Simplifying (/ (- 1 k) 2)
1554042600.620 * * [simplify]: iters left: 4 (5 enodes)
1554042600.622 * * [simplify]: iters left: 3 (23 enodes)
1554042600.626 * * [simplify]: iters left: 2 (32 enodes)
1554042600.631 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042600.631 * * [simplify]: Extracting #1: cost 6 inf + 0
1554042600.631 * * [simplify]: Extracting #2: cost 9 inf + 2
1554042600.632 * * [simplify]: Extracting #3: cost 6 inf + 87
1554042600.632 * * [simplify]: Extracting #4: cost 0 inf + 420
1554042600.632 * [simplify]: Simplified to (/ (- 1 k) 2)
1554042600.632 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (sqrt k)))
1554042600.632 * * * * [progress]: [ 30 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (- 1 k)) (/ 1 2)) (sqrt k)))>
1554042600.632 * [simplify]: Simplifying (/ 1 2)
1554042600.632 * * [simplify]: iters left: 2 (3 enodes)
1554042600.634 * * [simplify]: iters left: 1 (12 enodes)
1554042600.638 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042600.638 * * [simplify]: Extracting #1: cost 0 inf + 1
1554042600.638 * [simplify]: Simplified to 1/2
1554042600.638 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (- 1 k)) 1/2) (sqrt k)))
1554042600.638 * * * * [progress]: [ 31 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k)))>
1554042600.638 * [simplify]: Simplifying (pow n (/ (- 1 k) 2))
1554042600.638 * * [simplify]: iters left: 5 (7 enodes)
1554042600.640 * * [simplify]: iters left: 4 (32 enodes)
1554042600.647 * * [simplify]: iters left: 3 (57 enodes)
1554042600.666 * * [simplify]: iters left: 2 (88 enodes)
1554042600.696 * * [simplify]: iters left: 1 (156 enodes)
1554042600.737 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042600.737 * * [simplify]: Extracting #1: cost 13 inf + 0
1554042600.737 * * [simplify]: Extracting #2: cost 49 inf + 2
1554042600.738 * * [simplify]: Extracting #3: cost 80 inf + 6
1554042600.739 * * [simplify]: Extracting #4: cost 58 inf + 1840
1554042600.742 * * [simplify]: Extracting #5: cost 22 inf + 9206
1554042600.747 * * [simplify]: Extracting #6: cost 1 inf + 20886
1554042600.757 * * [simplify]: Extracting #7: cost 0 inf + 21301
1554042600.763 * * [simplify]: Extracting #8: cost 0 inf + 21130
1554042600.769 * [simplify]: Simplified to (pow n (/ (- 1 k) 2))
1554042600.769 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k)))
1554042600.770 * * * * [progress]: [ 32 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (sqrt k)))>
1554042600.770 * * * * [progress]: [ 33 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (log (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))>
1554042600.770 * * * * [progress]: [ 34 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (log (exp (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))>
1554042600.770 * * * * [progress]: [ 35 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))>
1554042600.770 * * * * [progress]: [ 36 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (cbrt (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))>
1554042600.770 * * * * [progress]: [ 37 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))>
1554042600.770 * * * * [progress]: [ 38 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)))>
1554042600.770 * * * * [progress]: [ 39 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
1554042600.770 * * * * [progress]: [ 40 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (posit16->real (real->posit16 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))>
1554042600.770 * * * * [progress]: [ 41 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (sqrt k)))>
1554042600.770 * [simplify]: Simplifying (* n (* 2 PI))
1554042600.771 * * [simplify]: iters left: 4 (5 enodes)
1554042600.774 * * [simplify]: iters left: 3 (19 enodes)
1554042600.780 * * [simplify]: iters left: 2 (27 enodes)
1554042600.788 * * [simplify]: iters left: 1 (32 enodes)
1554042600.797 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042600.797 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042600.797 * * [simplify]: Extracting #2: cost 7 inf + 45
1554042600.797 * * [simplify]: Extracting #3: cost 0 inf + 421
1554042600.798 * [simplify]: Simplified to (* (* PI 2) n)
1554042600.798 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (sqrt k)))
1554042600.798 * * * * [progress]: [ 42 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (sqrt k)))>
1554042600.798 * [simplify]: Simplifying (* n (* 2 PI))
1554042600.798 * * [simplify]: iters left: 4 (5 enodes)
1554042600.801 * * [simplify]: iters left: 3 (19 enodes)
1554042600.807 * * [simplify]: iters left: 2 (27 enodes)
1554042600.816 * * [simplify]: iters left: 1 (32 enodes)
1554042600.821 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042600.821 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042600.821 * * [simplify]: Extracting #2: cost 7 inf + 45
1554042600.821 * * [simplify]: Extracting #3: cost 0 inf + 421
1554042600.821 * [simplify]: Simplified to (* (* PI 2) n)
1554042600.821 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (sqrt k)))
1554042600.821 * * * * [progress]: [ 43 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (sqrt k)))>
1554042600.821 * * * * [progress]: [ 44 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (- 1 k) 2)) (sqrt k)))>
1554042600.821 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI)))
1554042600.822 * * [simplify]: iters left: 5 (8 enodes)
1554042600.824 * * [simplify]: iters left: 4 (28 enodes)
1554042600.829 * * [simplify]: iters left: 3 (36 enodes)
1554042600.834 * * [simplify]: iters left: 2 (42 enodes)
1554042600.840 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042600.840 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042600.840 * * [simplify]: Extracting #2: cost 17 inf + 0
1554042600.840 * * [simplify]: Extracting #3: cost 12 inf + 145
1554042600.840 * * [simplify]: Extracting #4: cost 5 inf + 1197
1554042600.841 * * [simplify]: Extracting #5: cost 1 inf + 1925
1554042600.841 * * [simplify]: Extracting #6: cost 0 inf + 2107
1554042600.841 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI)))
1554042600.841 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (- 1 k) 2)) (sqrt k)))
1554042600.841 * * * * [progress]: [ 45 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (+ (log n) (log (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))>
1554042600.841 * [simplify]: Simplifying (+ (log n) (log (* 2 PI)))
1554042600.842 * * [simplify]: iters left: 5 (7 enodes)
1554042600.844 * * [simplify]: iters left: 4 (26 enodes)
1554042600.851 * * [simplify]: iters left: 3 (35 enodes)
1554042600.860 * * [simplify]: iters left: 2 (44 enodes)
1554042600.866 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042600.866 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042600.866 * * [simplify]: Extracting #2: cost 18 inf + 0
1554042600.866 * * [simplify]: Extracting #3: cost 15 inf + 74
1554042600.866 * * [simplify]: Extracting #4: cost 8 inf + 554
1554042600.866 * * [simplify]: Extracting #5: cost 0 inf + 1911
1554042600.867 * [simplify]: Simplified to (+ (log n) (log (* 2 PI)))
1554042600.867 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (+ (log n) (log (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))
1554042600.867 * * * * [progress]: [ 46 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (log (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))>
1554042600.867 * * * * [progress]: [ 47 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (log (exp (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))>
1554042600.867 * * * * [progress]: [ 48 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI)))) (/ (- 1 k) 2)) (sqrt k)))>
1554042600.867 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI)))
1554042600.867 * * [simplify]: iters left: 6 (11 enodes)
1554042600.872 * * [simplify]: iters left: 5 (48 enodes)
1554042600.889 * * [simplify]: iters left: 4 (121 enodes)
1554042600.948 * * [simplify]: iters left: 3 (348 enodes)
1554042601.128 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042601.128 * * [simplify]: Extracting #1: cost 67 inf + 0
1554042601.129 * * [simplify]: Extracting #2: cost 165 inf + 786
1554042601.131 * * [simplify]: Extracting #3: cost 85 inf + 10177
1554042601.137 * * [simplify]: Extracting #4: cost 9 inf + 26399
1554042601.146 * * [simplify]: Extracting #5: cost 0 inf + 28546
1554042601.159 * * [simplify]: Extracting #6: cost 0 inf + 28506
1554042601.172 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI))
1554042601.172 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (cbrt (* (* (* (* n PI) (* n PI)) 8) (* n PI))) (/ (- 1 k) 2)) (sqrt k)))
1554042601.172 * * * * [progress]: [ 49 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))>
1554042601.172 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))
1554042601.172 * * [simplify]: iters left: 6 (9 enodes)
1554042601.176 * * [simplify]: iters left: 5 (45 enodes)
1554042601.186 * * [simplify]: iters left: 4 (117 enodes)
1554042601.242 * * [simplify]: iters left: 3 (374 enodes)
1554042601.541 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042601.542 * * [simplify]: Extracting #1: cost 77 inf + 0
1554042601.544 * * [simplify]: Extracting #2: cost 184 inf + 984
1554042601.551 * * [simplify]: Extracting #3: cost 106 inf + 11690
1554042601.568 * * [simplify]: Extracting #4: cost 6 inf + 30376
1554042601.580 * * [simplify]: Extracting #5: cost 0 inf + 31644
1554042601.589 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n))
1554042601.589 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (- 1 k) 2)) (sqrt k)))
1554042601.589 * * * * [progress]: [ 50 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))>
1554042601.589 * * * * [progress]: [ 51 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (* (* (* n (* 2 PI)) (* n (* 2 PI))) (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))>
1554042601.589 * * * * [progress]: [ 52 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (sqrt (* n (* 2 PI))) (sqrt (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))>
1554042601.590 * * * * [progress]: [ 53 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 1 (* n (* 2 PI))) (/ (- 1 k) 2)) (sqrt k)))>
1554042601.590 * * * * [progress]: [ 54 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k)))>
1554042601.590 * * * * [progress]: [ 55 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (- 1 k) 2)) (sqrt k)))>
1554042601.590 * [simplify]: Simplifying (* (cbrt n) (cbrt n))
1554042601.590 * * [simplify]: iters left: 3 (3 enodes)
1554042601.591 * * [simplify]: iters left: 2 (9 enodes)
1554042601.592 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042601.592 * * [simplify]: Extracting #1: cost 3 inf + 0
1554042601.592 * * [simplify]: Extracting #2: cost 5 inf + 0
1554042601.592 * * [simplify]: Extracting #3: cost 4 inf + 1
1554042601.592 * * [simplify]: Extracting #4: cost 0 inf + 405
1554042601.592 * [simplify]: Simplified to (* (cbrt n) (cbrt n))
1554042601.592 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (- 1 k) 2)) (sqrt k)))
1554042601.592 * * * * [progress]: [ 56 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (- 1 k) 2)) (sqrt k)))>
1554042601.592 * [simplify]: Simplifying (sqrt n)
1554042601.592 * * [simplify]: iters left: 1 (2 enodes)
1554042601.593 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042601.593 * * [simplify]: Extracting #1: cost 3 inf + 0
1554042601.593 * * [simplify]: Extracting #2: cost 2 inf + 1
1554042601.593 * * [simplify]: Extracting #3: cost 0 inf + 83
1554042601.593 * [simplify]: Simplified to (sqrt n)
1554042601.593 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (- 1 k) 2)) (sqrt k)))
1554042601.593 * * * * [progress]: [ 57 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 1 (* n (* 2 PI))) (/ (- 1 k) 2)) (sqrt k)))>
1554042601.593 * * * * [progress]: [ 58 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (posit16->real (real->posit16 (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))>
1554042601.593 * * * * [progress]: [ 59 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)))>
1554042601.593 * * * * [progress]: [ 60 / 127 ] simplifiying candidate #<alt (λ (k n) (pow (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 1))>
1554042601.593 * * * * [progress]: [ 61 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (log (sqrt k)))))>
1554042601.593 * [simplify]: Simplifying (- (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (log (sqrt k)))
1554042601.593 * * [simplify]: iters left: 6 (16 enodes)
1554042601.598 * * [simplify]: iters left: 5 (65 enodes)
1554042601.617 * * [simplify]: iters left: 4 (111 enodes)
1554042601.645 * * [simplify]: iters left: 3 (294 enodes)
1554042601.764 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042601.764 * * [simplify]: Extracting #1: cost 32 inf + 0
1554042601.764 * * [simplify]: Extracting #2: cost 82 inf + 0
1554042601.765 * * [simplify]: Extracting #3: cost 145 inf + 73
1554042601.767 * * [simplify]: Extracting #4: cost 158 inf + 1797
1554042601.775 * * [simplify]: Extracting #5: cost 56 inf + 27690
1554042601.790 * * [simplify]: Extracting #6: cost 4 inf + 45043
1554042601.799 * * [simplify]: Extracting #7: cost 0 inf + 46559
1554042601.808 * [simplify]: Simplified to (- (/ (- (+ (log PI) (+ (log n) (log 2))) (* k (+ (log PI) (+ (log n) (log 2))))) 2) (log (sqrt k)))
1554042601.808 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log PI) (+ (log n) (log 2))) (* k (+ (log PI) (+ (log n) (log 2))))) 2) (log (sqrt k)))))
1554042601.808 * * * * [progress]: [ 62 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k)))))>
1554042601.808 * [simplify]: Simplifying (- (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k)))
1554042601.808 * * [simplify]: iters left: 6 (15 enodes)
1554042601.813 * * [simplify]: iters left: 5 (63 enodes)
1554042601.826 * * [simplify]: iters left: 4 (104 enodes)
1554042601.855 * * [simplify]: iters left: 3 (238 enodes)
1554042601.932 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042601.933 * * [simplify]: Extracting #1: cost 30 inf + 0
1554042601.933 * * [simplify]: Extracting #2: cost 78 inf + 0
1554042601.933 * * [simplify]: Extracting #3: cost 131 inf + 73
1554042601.934 * * [simplify]: Extracting #4: cost 147 inf + 821
1554042601.936 * * [simplify]: Extracting #5: cost 71 inf + 15644
1554042601.943 * * [simplify]: Extracting #6: cost 4 inf + 36895
1554042601.955 * * [simplify]: Extracting #7: cost 0 inf + 38761
1554042601.965 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k)))
1554042601.966 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k)))))
1554042601.966 * * * * [progress]: [ 63 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k)))))>
1554042601.966 * [simplify]: Simplifying (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k)))
1554042601.966 * * [simplify]: iters left: 6 (14 enodes)
1554042601.971 * * [simplify]: iters left: 5 (62 enodes)
1554042601.982 * * [simplify]: iters left: 4 (111 enodes)
1554042602.012 * * [simplify]: iters left: 3 (223 enodes)
1554042602.088 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042602.088 * * [simplify]: Extracting #1: cost 19 inf + 0
1554042602.088 * * [simplify]: Extracting #2: cost 67 inf + 0
1554042602.089 * * [simplify]: Extracting #3: cost 123 inf + 2
1554042602.090 * * [simplify]: Extracting #4: cost 139 inf + 1713
1554042602.098 * * [simplify]: Extracting #5: cost 32 inf + 23885
1554042602.113 * * [simplify]: Extracting #6: cost 0 inf + 31232
1554042602.126 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k)))
1554042602.126 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k)))))
1554042602.126 * * * * [progress]: [ 64 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k)))))>
1554042602.126 * [simplify]: Simplifying (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k)))
1554042602.127 * * [simplify]: iters left: 6 (14 enodes)
1554042602.135 * * [simplify]: iters left: 5 (62 enodes)
1554042602.157 * * [simplify]: iters left: 4 (111 enodes)
1554042602.187 * * [simplify]: iters left: 3 (223 enodes)
1554042602.274 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042602.274 * * [simplify]: Extracting #1: cost 19 inf + 0
1554042602.275 * * [simplify]: Extracting #2: cost 67 inf + 0
1554042602.275 * * [simplify]: Extracting #3: cost 123 inf + 2
1554042602.277 * * [simplify]: Extracting #4: cost 139 inf + 1713
1554042602.284 * * [simplify]: Extracting #5: cost 32 inf + 23885
1554042602.295 * * [simplify]: Extracting #6: cost 0 inf + 31232
1554042602.307 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k)))
1554042602.307 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k)))))
1554042602.307 * * * * [progress]: [ 65 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (log (sqrt k)))))>
1554042602.307 * [simplify]: Simplifying (- (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (log (sqrt k)))
1554042602.307 * * [simplify]: iters left: 6 (14 enodes)
1554042602.314 * * [simplify]: iters left: 5 (61 enodes)
1554042602.333 * * [simplify]: iters left: 4 (111 enodes)
1554042602.371 * * [simplify]: iters left: 3 (218 enodes)
1554042602.452 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042602.452 * * [simplify]: Extracting #1: cost 20 inf + 0
1554042602.452 * * [simplify]: Extracting #2: cost 94 inf + 0
1554042602.453 * * [simplify]: Extracting #3: cost 167 inf + 2
1554042602.454 * * [simplify]: Extracting #4: cost 164 inf + 1228
1554042602.459 * * [simplify]: Extracting #5: cost 76 inf + 17725
1554042602.469 * * [simplify]: Extracting #6: cost 9 inf + 35809
1554042602.481 * * [simplify]: Extracting #7: cost 0 inf + 40227
1554042602.497 * [simplify]: Simplified to (- (/ (* (log (* (* PI 2) n)) (- 1 k)) 2) (log (sqrt k)))
1554042602.497 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (* (log (* (* PI 2) n)) (- 1 k)) 2) (log (sqrt k)))))
1554042602.497 * * * * [progress]: [ 66 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (log (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))>
1554042602.497 * * * * [progress]: [ 67 / 127 ] simplifiying candidate #<alt (λ (k n) (log (exp (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))>
1554042602.497 * * * * [progress]: [ 68 / 127 ] simplifiying candidate #<alt (λ (k n) (cbrt (/ (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (* (sqrt k) (sqrt k)) (sqrt k)))))>
1554042602.498 * [simplify]: Simplifying (/ (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (* (sqrt k) (sqrt k)) (sqrt k)))
1554042602.498 * * [simplify]: iters left: 6 (16 enodes)
1554042602.507 * * [simplify]: iters left: 5 (72 enodes)
1554042602.531 * * [simplify]: iters left: 4 (165 enodes)
1554042602.592 * * [simplify]: iters left: 3 (474 enodes)
1554042602.912 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042602.913 * * [simplify]: Extracting #1: cost 172 inf + 0
1554042602.914 * * [simplify]: Extracting #2: cost 449 inf + 1
1554042602.916 * * [simplify]: Extracting #3: cost 500 inf + 248
1554042602.919 * * [simplify]: Extracting #4: cost 476 inf + 4785
1554042602.929 * * [simplify]: Extracting #5: cost 302 inf + 101232
1554042603.000 * * [simplify]: Extracting #6: cost 26 inf + 307299
1554042603.071 * * [simplify]: Extracting #7: cost 0 inf + 323493
1554042603.162 * * [simplify]: Extracting #8: cost 0 inf + 323103
1554042603.234 * [simplify]: Simplified to (/ (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) (/ k (pow (* (* PI 2) n) (/ (- 1 k) 2))))
1554042603.234 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (/ (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) (/ k (pow (* (* PI 2) n) (/ (- 1 k) 2))))))
1554042603.234 * * * * [progress]: [ 69 / 127 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))>
1554042603.234 * * * * [progress]: [ 70 / 127 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))>
1554042603.234 * * * * [progress]: [ 71 / 127 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))>
1554042603.234 * * * * [progress]: [ 72 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (- (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (- (sqrt k))))>
1554042603.234 * * * * [progress]: [ 73 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k)))))>
1554042603.235 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1554042603.235 * * [simplify]: iters left: 6 (11 enodes)
1554042603.241 * * [simplify]: iters left: 5 (46 enodes)
1554042603.259 * * [simplify]: iters left: 4 (79 enodes)
1554042603.288 * * [simplify]: iters left: 3 (135 enodes)
1554042603.323 * * [simplify]: iters left: 2 (270 enodes)
1554042603.423 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042603.423 * * [simplify]: Extracting #1: cost 56 inf + 0
1554042603.423 * * [simplify]: Extracting #2: cost 151 inf + 0
1554042603.424 * * [simplify]: Extracting #3: cost 211 inf + 3
1554042603.426 * * [simplify]: Extracting #4: cost 182 inf + 8248
1554042603.430 * * [simplify]: Extracting #5: cost 108 inf + 32321
1554042603.439 * * [simplify]: Extracting #6: cost 40 inf + 73343
1554042603.464 * * [simplify]: Extracting #7: cost 0 inf + 103841
1554042603.491 * * [simplify]: Extracting #8: cost 0 inf + 103639
1554042603.521 * * [simplify]: Extracting #9: cost 0 inf + 103517
1554042603.548 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1554042603.548 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k)))))
1554042603.548 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k)))
1554042603.548 * * [simplify]: iters left: 6 (11 enodes)
1554042603.555 * * [simplify]: iters left: 5 (45 enodes)
1554042603.571 * * [simplify]: iters left: 4 (68 enodes)
1554042603.590 * * [simplify]: iters left: 3 (110 enodes)
1554042603.612 * * [simplify]: iters left: 2 (217 enodes)
1554042603.668 * * [simplify]: iters left: 1 (456 enodes)
1554042603.861 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042603.862 * * [simplify]: Extracting #1: cost 44 inf + 0
1554042603.862 * * [simplify]: Extracting #2: cost 133 inf + 0
1554042603.864 * * [simplify]: Extracting #3: cost 211 inf + 3
1554042603.866 * * [simplify]: Extracting #4: cost 209 inf + 1047
1554042603.871 * * [simplify]: Extracting #5: cost 156 inf + 8593
1554042603.884 * * [simplify]: Extracting #6: cost 83 inf + 43654
1554042603.912 * * [simplify]: Extracting #7: cost 10 inf + 107740
1554042603.947 * * [simplify]: Extracting #8: cost 0 inf + 116394
1554042603.985 * * [simplify]: Extracting #9: cost 0 inf + 115425
1554042604.019 * * [simplify]: Extracting #10: cost 0 inf + 114468
1554042604.053 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (cbrt (sqrt k)))
1554042604.053 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (cbrt (sqrt k)))))
1554042604.053 * * * * [progress]: [ 74 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k)))))>
1554042604.054 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k))))
1554042604.054 * * [simplify]: iters left: 6 (11 enodes)
1554042604.061 * * [simplify]: iters left: 5 (45 enodes)
1554042604.076 * * [simplify]: iters left: 4 (72 enodes)
1554042604.100 * * [simplify]: iters left: 3 (113 enodes)
1554042604.143 * * [simplify]: iters left: 2 (202 enodes)
1554042604.212 * * [simplify]: iters left: 1 (423 enodes)
1554042604.393 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042604.393 * * [simplify]: Extracting #1: cost 45 inf + 0
1554042604.394 * * [simplify]: Extracting #2: cost 135 inf + 0
1554042604.394 * * [simplify]: Extracting #3: cost 200 inf + 4
1554042604.396 * * [simplify]: Extracting #4: cost 178 inf + 4405
1554042604.401 * * [simplify]: Extracting #5: cost 89 inf + 41805
1554042604.419 * * [simplify]: Extracting #6: cost 6 inf + 96015
1554042604.451 * * [simplify]: Extracting #7: cost 0 inf + 93673
1554042604.488 * * [simplify]: Extracting #8: cost 0 inf + 88687
1554042604.525 * * [simplify]: Extracting #9: cost 0 inf + 87603
1554042604.564 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k)))
1554042604.564 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k)))))
1554042604.565 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k)))
1554042604.565 * * [simplify]: iters left: 6 (11 enodes)
1554042604.571 * * [simplify]: iters left: 5 (45 enodes)
1554042604.585 * * [simplify]: iters left: 4 (68 enodes)
1554042604.610 * * [simplify]: iters left: 3 (110 enodes)
1554042604.640 * * [simplify]: iters left: 2 (217 enodes)
1554042604.690 * * [simplify]: iters left: 1 (456 enodes)
1554042604.867 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042604.868 * * [simplify]: Extracting #1: cost 44 inf + 0
1554042604.873 * * [simplify]: Extracting #2: cost 133 inf + 0
1554042604.875 * * [simplify]: Extracting #3: cost 211 inf + 3
1554042604.877 * * [simplify]: Extracting #4: cost 209 inf + 1127
1554042604.879 * * [simplify]: Extracting #5: cost 156 inf + 8673
1554042604.885 * * [simplify]: Extracting #6: cost 83 inf + 43734
1554042604.899 * * [simplify]: Extracting #7: cost 10 inf + 107820
1554042604.927 * * [simplify]: Extracting #8: cost 0 inf + 116474
1554042604.944 * * [simplify]: Extracting #9: cost 0 inf + 115505
1554042604.969 * * [simplify]: Extracting #10: cost 0 inf + 114548
1554042604.989 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (cbrt k)))
1554042604.989 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (cbrt k)))))
1554042604.989 * * * * [progress]: [ 75 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k)))))>
1554042604.989 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k)))
1554042604.989 * * [simplify]: iters left: 6 (10 enodes)
1554042604.993 * * [simplify]: iters left: 5 (41 enodes)
1554042605.003 * * [simplify]: iters left: 4 (68 enodes)
1554042605.020 * * [simplify]: iters left: 3 (109 enodes)
1554042605.040 * * [simplify]: iters left: 2 (194 enodes)
1554042605.119 * * [simplify]: iters left: 1 (414 enodes)
1554042605.317 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042605.317 * * [simplify]: Extracting #1: cost 45 inf + 0
1554042605.318 * * [simplify]: Extracting #2: cost 141 inf + 0
1554042605.318 * * [simplify]: Extracting #3: cost 206 inf + 4
1554042605.320 * * [simplify]: Extracting #4: cost 178 inf + 9345
1554042605.325 * * [simplify]: Extracting #5: cost 101 inf + 32669
1554042605.340 * * [simplify]: Extracting #6: cost 15 inf + 90305
1554042605.371 * * [simplify]: Extracting #7: cost 0 inf + 100314
1554042605.403 * * [simplify]: Extracting #8: cost 0 inf + 100143
1554042605.438 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k)))
1554042605.438 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k)))))
1554042605.439 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k)))
1554042605.439 * * [simplify]: iters left: 6 (11 enodes)
1554042605.445 * * [simplify]: iters left: 5 (45 enodes)
1554042605.455 * * [simplify]: iters left: 4 (68 enodes)
1554042605.467 * * [simplify]: iters left: 3 (110 enodes)
1554042605.499 * * [simplify]: iters left: 2 (217 enodes)
1554042605.566 * * [simplify]: iters left: 1 (456 enodes)
1554042605.754 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042605.754 * * [simplify]: Extracting #1: cost 44 inf + 0
1554042605.755 * * [simplify]: Extracting #2: cost 133 inf + 0
1554042605.755 * * [simplify]: Extracting #3: cost 211 inf + 3
1554042605.757 * * [simplify]: Extracting #4: cost 209 inf + 967
1554042605.759 * * [simplify]: Extracting #5: cost 156 inf + 8433
1554042605.765 * * [simplify]: Extracting #6: cost 83 inf + 42774
1554042605.780 * * [simplify]: Extracting #7: cost 10 inf + 105380
1554042605.807 * * [simplify]: Extracting #8: cost 0 inf + 113674
1554042605.845 * * [simplify]: Extracting #9: cost 0 inf + 112705
1554042605.876 * * [simplify]: Extracting #10: cost 0 inf + 111748
1554042605.893 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k)))
1554042605.893 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k)))))
1554042605.893 * * * * [progress]: [ 76 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k))))>
1554042605.893 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt 1))
1554042605.893 * * [simplify]: iters left: 6 (9 enodes)
1554042605.897 * * [simplify]: iters left: 5 (38 enodes)
1554042605.905 * * [simplify]: iters left: 4 (63 enodes)
1554042605.916 * * [simplify]: iters left: 3 (100 enodes)
1554042605.948 * * [simplify]: iters left: 2 (175 enodes)
1554042606.016 * * [simplify]: iters left: 1 (360 enodes)
1554042606.200 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042606.200 * * [simplify]: Extracting #1: cost 52 inf + 0
1554042606.201 * * [simplify]: Extracting #2: cost 150 inf + 3
1554042606.203 * * [simplify]: Extracting #3: cost 190 inf + 8
1554042606.205 * * [simplify]: Extracting #4: cost 167 inf + 1999
1554042606.208 * * [simplify]: Extracting #5: cost 109 inf + 14534
1554042606.218 * * [simplify]: Extracting #6: cost 11 inf + 80954
1554042606.231 * * [simplify]: Extracting #7: cost 0 inf + 87093
1554042606.259 * * [simplify]: Extracting #8: cost 0 inf + 85003
1554042606.283 * * [simplify]: Extracting #9: cost 0 inf + 84872
1554042606.297 * [simplify]: Simplified to (pow n (- 1/2 (/ k 2)))
1554042606.297 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k))))
1554042606.297 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k))
1554042606.297 * * [simplify]: iters left: 6 (10 enodes)
1554042606.301 * * [simplify]: iters left: 5 (42 enodes)
1554042606.308 * * [simplify]: iters left: 4 (65 enodes)
1554042606.329 * * [simplify]: iters left: 3 (104 enodes)
1554042606.359 * * [simplify]: iters left: 2 (206 enodes)
1554042606.422 * * [simplify]: iters left: 1 (433 enodes)
1554042606.591 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042606.591 * * [simplify]: Extracting #1: cost 45 inf + 0
1554042606.592 * * [simplify]: Extracting #2: cost 143 inf + 0
1554042606.594 * * [simplify]: Extracting #3: cost 213 inf + 45
1554042606.596 * * [simplify]: Extracting #4: cost 203 inf + 1718
1554042606.602 * * [simplify]: Extracting #5: cost 130 inf + 20716
1554042606.616 * * [simplify]: Extracting #6: cost 18 inf + 99664
1554042606.647 * * [simplify]: Extracting #7: cost 0 inf + 106929
1554042606.689 * * [simplify]: Extracting #8: cost 0 inf + 106247
1554042606.735 * * [simplify]: Extracting #9: cost 0 inf + 105867
1554042606.787 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))
1554042606.787 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))
1554042606.787 * * * * [progress]: [ 77 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k)))))>
1554042606.787 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k)))
1554042606.788 * * [simplify]: iters left: 6 (10 enodes)
1554042606.793 * * [simplify]: iters left: 5 (41 enodes)
1554042606.808 * * [simplify]: iters left: 4 (68 enodes)
1554042606.831 * * [simplify]: iters left: 3 (109 enodes)
1554042606.861 * * [simplify]: iters left: 2 (194 enodes)
1554042606.910 * * [simplify]: iters left: 1 (414 enodes)
1554042607.072 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042607.072 * * [simplify]: Extracting #1: cost 45 inf + 0
1554042607.073 * * [simplify]: Extracting #2: cost 141 inf + 0
1554042607.075 * * [simplify]: Extracting #3: cost 206 inf + 4
1554042607.077 * * [simplify]: Extracting #4: cost 178 inf + 9345
1554042607.083 * * [simplify]: Extracting #5: cost 101 inf + 32669
1554042607.096 * * [simplify]: Extracting #6: cost 15 inf + 90305
1554042607.115 * * [simplify]: Extracting #7: cost 0 inf + 100314
1554042607.145 * * [simplify]: Extracting #8: cost 0 inf + 100143
1554042607.175 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k)))
1554042607.176 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k)))))
1554042607.176 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k)))
1554042607.176 * * [simplify]: iters left: 6 (11 enodes)
1554042607.182 * * [simplify]: iters left: 5 (45 enodes)
1554042607.197 * * [simplify]: iters left: 4 (68 enodes)
1554042607.220 * * [simplify]: iters left: 3 (110 enodes)
1554042607.257 * * [simplify]: iters left: 2 (217 enodes)
1554042607.323 * * [simplify]: iters left: 1 (456 enodes)
1554042607.564 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042607.564 * * [simplify]: Extracting #1: cost 44 inf + 0
1554042607.565 * * [simplify]: Extracting #2: cost 133 inf + 0
1554042607.566 * * [simplify]: Extracting #3: cost 211 inf + 3
1554042607.568 * * [simplify]: Extracting #4: cost 209 inf + 967
1554042607.573 * * [simplify]: Extracting #5: cost 156 inf + 8433
1554042607.587 * * [simplify]: Extracting #6: cost 83 inf + 42774
1554042607.618 * * [simplify]: Extracting #7: cost 10 inf + 105380
1554042607.635 * * [simplify]: Extracting #8: cost 0 inf + 113674
1554042607.657 * * [simplify]: Extracting #9: cost 0 inf + 112705
1554042607.675 * * [simplify]: Extracting #10: cost 0 inf + 111748
1554042607.695 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k)))
1554042607.695 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k)))))
1554042607.696 * * * * [progress]: [ 78 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) 1) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k))))>
1554042607.696 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) 1)
1554042607.696 * * [simplify]: iters left: 6 (8 enodes)
1554042607.701 * * [simplify]: iters left: 5 (33 enodes)
1554042607.715 * * [simplify]: iters left: 4 (56 enodes)
1554042607.734 * * [simplify]: iters left: 3 (98 enodes)
1554042607.774 * * [simplify]: iters left: 2 (203 enodes)
1554042607.860 * * [simplify]: iters left: 1 (441 enodes)
1554042608.099 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042608.099 * * [simplify]: Extracting #1: cost 49 inf + 0
1554042608.099 * * [simplify]: Extracting #2: cost 157 inf + 3
1554042608.100 * * [simplify]: Extracting #3: cost 212 inf + 8
1554042608.101 * * [simplify]: Extracting #4: cost 198 inf + 1133
1554042608.104 * * [simplify]: Extracting #5: cost 127 inf + 13703
1554042608.125 * * [simplify]: Extracting #6: cost 35 inf + 74586
1554042608.164 * * [simplify]: Extracting #7: cost 0 inf + 99668
1554042608.186 * * [simplify]: Extracting #8: cost 0 inf + 99308
1554042608.204 * [simplify]: Simplified to (pow n (- 1/2 (/ k 2)))
1554042608.204 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k))))
1554042608.204 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k))
1554042608.205 * * [simplify]: iters left: 6 (10 enodes)
1554042608.208 * * [simplify]: iters left: 5 (42 enodes)
1554042608.216 * * [simplify]: iters left: 4 (65 enodes)
1554042608.228 * * [simplify]: iters left: 3 (104 enodes)
1554042608.253 * * [simplify]: iters left: 2 (206 enodes)
1554042608.313 * * [simplify]: iters left: 1 (433 enodes)
1554042608.458 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042608.458 * * [simplify]: Extracting #1: cost 45 inf + 0
1554042608.459 * * [simplify]: Extracting #2: cost 143 inf + 0
1554042608.461 * * [simplify]: Extracting #3: cost 213 inf + 45
1554042608.463 * * [simplify]: Extracting #4: cost 203 inf + 1718
1554042608.470 * * [simplify]: Extracting #5: cost 130 inf + 20716
1554042608.498 * * [simplify]: Extracting #6: cost 18 inf + 99664
1554042608.548 * * [simplify]: Extracting #7: cost 0 inf + 106929
1554042608.587 * * [simplify]: Extracting #8: cost 0 inf + 106247
1554042608.619 * * [simplify]: Extracting #9: cost 0 inf + 105867
1554042608.671 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))
1554042608.672 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) 1) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))
1554042608.672 * * * * [progress]: [ 79 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k)))))>
1554042608.672 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1554042608.672 * * [simplify]: iters left: 6 (16 enodes)
1554042608.678 * * [simplify]: iters left: 5 (69 enodes)
1554042608.691 * * [simplify]: iters left: 4 (117 enodes)
1554042608.718 * * [simplify]: iters left: 3 (164 enodes)
1554042608.759 * * [simplify]: iters left: 2 (236 enodes)
1554042608.833 * * [simplify]: iters left: 1 (387 enodes)
1554042608.988 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042608.988 * * [simplify]: Extracting #1: cost 11 inf + 0
1554042608.988 * * [simplify]: Extracting #2: cost 22 inf + 0
1554042608.988 * * [simplify]: Extracting #3: cost 48 inf + 0
1554042608.989 * * [simplify]: Extracting #4: cost 120 inf + 2
1554042608.991 * * [simplify]: Extracting #5: cost 145 inf + 1787
1554042608.996 * * [simplify]: Extracting #6: cost 89 inf + 14823
1554042609.008 * * [simplify]: Extracting #7: cost 35 inf + 37040
1554042609.030 * * [simplify]: Extracting #8: cost 4 inf + 64421
1554042609.053 * * [simplify]: Extracting #9: cost 0 inf + 66215
1554042609.081 * * [simplify]: Extracting #10: cost 0 inf + 65834
1554042609.095 * [simplify]: Simplified to (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))
1554042609.095 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k)))))
1554042609.095 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k)))
1554042609.095 * * [simplify]: iters left: 6 (14 enodes)
1554042609.100 * * [simplify]: iters left: 5 (57 enodes)
1554042609.110 * * [simplify]: iters left: 4 (90 enodes)
1554042609.136 * * [simplify]: iters left: 3 (127 enodes)
1554042609.178 * * [simplify]: iters left: 2 (195 enodes)
1554042609.247 * * [simplify]: iters left: 1 (356 enodes)
1554042609.391 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042609.391 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042609.391 * * [simplify]: Extracting #2: cost 8 inf + 0
1554042609.391 * * [simplify]: Extracting #3: cost 34 inf + 0
1554042609.391 * * [simplify]: Extracting #4: cost 107 inf + 164
1554042609.392 * * [simplify]: Extracting #5: cost 148 inf + 585
1554042609.394 * * [simplify]: Extracting #6: cost 104 inf + 6057
1554042609.401 * * [simplify]: Extracting #7: cost 40 inf + 28932
1554042609.410 * * [simplify]: Extracting #8: cost 3 inf + 60785
1554042609.420 * * [simplify]: Extracting #9: cost 0 inf + 62323
1554042609.432 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
1554042609.433 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))
1554042609.433 * * * * [progress]: [ 80 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k)))))>
1554042609.433 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (* (cbrt k) (cbrt k))))
1554042609.433 * * [simplify]: iters left: 6 (16 enodes)
1554042609.443 * * [simplify]: iters left: 5 (66 enodes)
1554042609.464 * * [simplify]: iters left: 4 (103 enodes)
1554042609.496 * * [simplify]: iters left: 3 (142 enodes)
1554042609.538 * * [simplify]: iters left: 2 (210 enodes)
1554042609.594 * * [simplify]: iters left: 1 (370 enodes)
1554042609.755 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042609.755 * * [simplify]: Extracting #1: cost 7 inf + 0
1554042609.755 * * [simplify]: Extracting #2: cost 15 inf + 0
1554042609.756 * * [simplify]: Extracting #3: cost 43 inf + 0
1554042609.756 * * [simplify]: Extracting #4: cost 113 inf + 204
1554042609.758 * * [simplify]: Extracting #5: cost 144 inf + 990
1554042609.760 * * [simplify]: Extracting #6: cost 110 inf + 4920
1554042609.768 * * [simplify]: Extracting #7: cost 55 inf + 21303
1554042609.783 * * [simplify]: Extracting #8: cost 13 inf + 52139
1554042609.800 * * [simplify]: Extracting #9: cost 0 inf + 63233
1554042609.810 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (fabs (cbrt k)))
1554042609.810 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (fabs (cbrt k))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k)))))
1554042609.810 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k)))
1554042609.810 * * [simplify]: iters left: 6 (14 enodes)
1554042609.815 * * [simplify]: iters left: 5 (57 enodes)
1554042609.825 * * [simplify]: iters left: 4 (90 enodes)
1554042609.850 * * [simplify]: iters left: 3 (127 enodes)
1554042609.896 * * [simplify]: iters left: 2 (195 enodes)
1554042609.935 * * [simplify]: iters left: 1 (356 enodes)
1554042610.039 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042610.039 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042610.039 * * [simplify]: Extracting #2: cost 8 inf + 0
1554042610.039 * * [simplify]: Extracting #3: cost 34 inf + 0
1554042610.040 * * [simplify]: Extracting #4: cost 107 inf + 204
1554042610.040 * * [simplify]: Extracting #5: cost 148 inf + 665
1554042610.042 * * [simplify]: Extracting #6: cost 104 inf + 6137
1554042610.047 * * [simplify]: Extracting #7: cost 40 inf + 29012
1554042610.055 * * [simplify]: Extracting #8: cost 3 inf + 60865
1554042610.065 * * [simplify]: Extracting #9: cost 0 inf + 62403
1554042610.076 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))
1554042610.076 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))))
1554042610.076 * * * * [progress]: [ 81 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))))>
1554042610.076 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k)))
1554042610.076 * * [simplify]: iters left: 6 (15 enodes)
1554042610.081 * * [simplify]: iters left: 5 (62 enodes)
1554042610.092 * * [simplify]: iters left: 4 (99 enodes)
1554042610.112 * * [simplify]: iters left: 3 (142 enodes)
1554042610.142 * * [simplify]: iters left: 2 (215 enodes)
1554042610.199 * * [simplify]: iters left: 1 (364 enodes)
1554042610.312 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042610.312 * * [simplify]: Extracting #1: cost 7 inf + 0
1554042610.312 * * [simplify]: Extracting #2: cost 14 inf + 0
1554042610.313 * * [simplify]: Extracting #3: cost 41 inf + 0
1554042610.313 * * [simplify]: Extracting #4: cost 108 inf + 124
1554042610.314 * * [simplify]: Extracting #5: cost 134 inf + 713
1554042610.318 * * [simplify]: Extracting #6: cost 89 inf + 7865
1554042610.331 * * [simplify]: Extracting #7: cost 23 inf + 42624
1554042610.349 * * [simplify]: Extracting #8: cost 0 inf + 60960
1554042610.368 * * [simplify]: Extracting #9: cost 0 inf + 60349
1554042610.385 * * [simplify]: Extracting #10: cost 0 inf + 60309
1554042610.404 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
1554042610.404 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))))
1554042610.405 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))
1554042610.405 * * [simplify]: iters left: 6 (14 enodes)
1554042610.412 * * [simplify]: iters left: 5 (57 enodes)
1554042610.434 * * [simplify]: iters left: 4 (90 enodes)
1554042610.449 * * [simplify]: iters left: 3 (127 enodes)
1554042610.474 * * [simplify]: iters left: 2 (195 enodes)
1554042610.550 * * [simplify]: iters left: 1 (356 enodes)
1554042610.695 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042610.695 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042610.695 * * [simplify]: Extracting #2: cost 8 inf + 0
1554042610.695 * * [simplify]: Extracting #3: cost 34 inf + 0
1554042610.696 * * [simplify]: Extracting #4: cost 107 inf + 124
1554042610.696 * * [simplify]: Extracting #5: cost 148 inf + 505
1554042610.698 * * [simplify]: Extracting #6: cost 104 inf + 5977
1554042610.704 * * [simplify]: Extracting #7: cost 40 inf + 28772
1554042610.719 * * [simplify]: Extracting #8: cost 3 inf + 60625
1554042610.730 * * [simplify]: Extracting #9: cost 0 inf + 62163
1554042610.742 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
1554042610.742 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))
1554042610.743 * * * * [progress]: [ 82 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt 1)) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k))))>
1554042610.743 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt 1))
1554042610.743 * * [simplify]: iters left: 6 (14 enodes)
1554042610.748 * * [simplify]: iters left: 5 (59 enodes)
1554042610.763 * * [simplify]: iters left: 4 (96 enodes)
1554042610.788 * * [simplify]: iters left: 3 (136 enodes)
1554042610.810 * * [simplify]: iters left: 2 (205 enodes)
1554042610.877 * * [simplify]: iters left: 1 (370 enodes)
1554042611.009 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042611.010 * * [simplify]: Extracting #1: cost 5 inf + 0
1554042611.010 * * [simplify]: Extracting #2: cost 7 inf + 1
1554042611.010 * * [simplify]: Extracting #3: cost 31 inf + 1
1554042611.011 * * [simplify]: Extracting #4: cost 103 inf + 2
1554042611.012 * * [simplify]: Extracting #5: cost 150 inf + 218
1554042611.013 * * [simplify]: Extracting #6: cost 145 inf + 809
1554042611.018 * * [simplify]: Extracting #7: cost 87 inf + 10304
1554042611.034 * * [simplify]: Extracting #8: cost 25 inf + 34558
1554042611.060 * * [simplify]: Extracting #9: cost 0 inf + 51677
1554042611.089 * * [simplify]: Extracting #10: cost 0 inf + 51597
1554042611.115 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))))
1554042611.115 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k))))
1554042611.115 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k))
1554042611.115 * * [simplify]: iters left: 6 (13 enodes)
1554042611.120 * * [simplify]: iters left: 5 (54 enodes)
1554042611.130 * * [simplify]: iters left: 4 (87 enodes)
1554042611.145 * * [simplify]: iters left: 3 (128 enodes)
1554042611.180 * * [simplify]: iters left: 2 (197 enodes)
1554042611.255 * * [simplify]: iters left: 1 (354 enodes)
1554042611.372 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042611.372 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042611.372 * * [simplify]: Extracting #2: cost 8 inf + 0
1554042611.372 * * [simplify]: Extracting #3: cost 28 inf + 83
1554042611.373 * * [simplify]: Extracting #4: cost 105 inf + 84
1554042611.373 * * [simplify]: Extracting #5: cost 139 inf + 343
1554042611.375 * * [simplify]: Extracting #6: cost 97 inf + 5103
1554042611.383 * * [simplify]: Extracting #7: cost 34 inf + 36313
1554042611.401 * * [simplify]: Extracting #8: cost 1 inf + 60074
1554042611.410 * * [simplify]: Extracting #9: cost 0 inf + 60197
1554042611.420 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k))
1554042611.420 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt 1)) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k))))
1554042611.420 * * * * [progress]: [ 83 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))))>
1554042611.420 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k)))
1554042611.420 * * [simplify]: iters left: 6 (15 enodes)
1554042611.429 * * [simplify]: iters left: 5 (62 enodes)
1554042611.450 * * [simplify]: iters left: 4 (99 enodes)
1554042611.482 * * [simplify]: iters left: 3 (142 enodes)
1554042611.506 * * [simplify]: iters left: 2 (215 enodes)
1554042611.566 * * [simplify]: iters left: 1 (364 enodes)
1554042611.686 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042611.686 * * [simplify]: Extracting #1: cost 7 inf + 0
1554042611.686 * * [simplify]: Extracting #2: cost 14 inf + 0
1554042611.686 * * [simplify]: Extracting #3: cost 41 inf + 0
1554042611.687 * * [simplify]: Extracting #4: cost 108 inf + 124
1554042611.688 * * [simplify]: Extracting #5: cost 134 inf + 713
1554042611.691 * * [simplify]: Extracting #6: cost 89 inf + 7865
1554042611.701 * * [simplify]: Extracting #7: cost 23 inf + 42624
1554042611.710 * * [simplify]: Extracting #8: cost 0 inf + 60960
1554042611.719 * * [simplify]: Extracting #9: cost 0 inf + 60349
1554042611.728 * * [simplify]: Extracting #10: cost 0 inf + 60309
1554042611.738 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
1554042611.738 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))))
1554042611.738 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))
1554042611.738 * * [simplify]: iters left: 6 (14 enodes)
1554042611.744 * * [simplify]: iters left: 5 (57 enodes)
1554042611.763 * * [simplify]: iters left: 4 (90 enodes)
1554042611.791 * * [simplify]: iters left: 3 (127 enodes)
1554042611.820 * * [simplify]: iters left: 2 (195 enodes)
1554042611.863 * * [simplify]: iters left: 1 (356 enodes)
1554042612.014 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042612.014 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042612.014 * * [simplify]: Extracting #2: cost 8 inf + 0
1554042612.015 * * [simplify]: Extracting #3: cost 34 inf + 0
1554042612.015 * * [simplify]: Extracting #4: cost 107 inf + 124
1554042612.016 * * [simplify]: Extracting #5: cost 148 inf + 505
1554042612.020 * * [simplify]: Extracting #6: cost 104 inf + 5977
1554042612.030 * * [simplify]: Extracting #7: cost 40 inf + 28772
1554042612.047 * * [simplify]: Extracting #8: cost 3 inf + 60625
1554042612.064 * * [simplify]: Extracting #9: cost 0 inf + 62163
1554042612.075 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
1554042612.075 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))
1554042612.075 * * * * [progress]: [ 84 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k))))>
1554042612.075 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1)
1554042612.075 * * [simplify]: iters left: 6 (13 enodes)
1554042612.080 * * [simplify]: iters left: 5 (54 enodes)
1554042612.090 * * [simplify]: iters left: 4 (95 enodes)
1554042612.121 * * [simplify]: iters left: 3 (137 enodes)
1554042612.144 * * [simplify]: iters left: 2 (206 enodes)
1554042612.213 * * [simplify]: iters left: 1 (362 enodes)
1554042612.360 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042612.360 * * [simplify]: Extracting #1: cost 5 inf + 0
1554042612.360 * * [simplify]: Extracting #2: cost 7 inf + 1
1554042612.360 * * [simplify]: Extracting #3: cost 32 inf + 1
1554042612.360 * * [simplify]: Extracting #4: cost 110 inf + 2
1554042612.361 * * [simplify]: Extracting #5: cost 158 inf + 176
1554042612.361 * * [simplify]: Extracting #6: cost 152 inf + 519
1554042612.364 * * [simplify]: Extracting #7: cost 101 inf + 8278
1554042612.370 * * [simplify]: Extracting #8: cost 36 inf + 29809
1554042612.381 * * [simplify]: Extracting #9: cost 0 inf + 59743
1554042612.395 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
1554042612.395 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k))))
1554042612.396 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k))
1554042612.396 * * [simplify]: iters left: 6 (13 enodes)
1554042612.403 * * [simplify]: iters left: 5 (54 enodes)
1554042612.422 * * [simplify]: iters left: 4 (87 enodes)
1554042612.452 * * [simplify]: iters left: 3 (128 enodes)
1554042612.498 * * [simplify]: iters left: 2 (197 enodes)
1554042612.544 * * [simplify]: iters left: 1 (354 enodes)
1554042612.723 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042612.723 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042612.724 * * [simplify]: Extracting #2: cost 8 inf + 0
1554042612.724 * * [simplify]: Extracting #3: cost 28 inf + 83
1554042612.724 * * [simplify]: Extracting #4: cost 105 inf + 84
1554042612.725 * * [simplify]: Extracting #5: cost 139 inf + 343
1554042612.726 * * [simplify]: Extracting #6: cost 97 inf + 5103
1554042612.731 * * [simplify]: Extracting #7: cost 34 inf + 36313
1554042612.741 * * [simplify]: Extracting #8: cost 1 inf + 60074
1554042612.751 * * [simplify]: Extracting #9: cost 0 inf + 60197
1554042612.768 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k))
1554042612.768 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k))))
1554042612.768 * * * * [progress]: [ 85 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k)))))>
1554042612.769 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1554042612.769 * * [simplify]: iters left: 6 (15 enodes)
1554042612.777 * * [simplify]: iters left: 5 (62 enodes)
1554042612.798 * * [simplify]: iters left: 4 (98 enodes)
1554042612.833 * * [simplify]: iters left: 3 (134 enodes)
1554042612.876 * * [simplify]: iters left: 2 (202 enodes)
1554042612.940 * * [simplify]: iters left: 1 (362 enodes)
1554042613.091 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042613.091 * * [simplify]: Extracting #1: cost 6 inf + 0
1554042613.091 * * [simplify]: Extracting #2: cost 13 inf + 0
1554042613.091 * * [simplify]: Extracting #3: cost 43 inf + 0
1554042613.092 * * [simplify]: Extracting #4: cost 123 inf + 2
1554042613.093 * * [simplify]: Extracting #5: cost 143 inf + 1737
1554042613.099 * * [simplify]: Extracting #6: cost 78 inf + 14117
1554042613.110 * * [simplify]: Extracting #7: cost 41 inf + 26321
1554042613.122 * * [simplify]: Extracting #8: cost 0 inf + 58201
1554042613.133 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1554042613.133 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k)))))
1554042613.133 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k)))
1554042613.134 * * [simplify]: iters left: 6 (14 enodes)
1554042613.138 * * [simplify]: iters left: 5 (57 enodes)
1554042613.155 * * [simplify]: iters left: 4 (91 enodes)
1554042613.185 * * [simplify]: iters left: 3 (127 enodes)
1554042613.207 * * [simplify]: iters left: 2 (195 enodes)
1554042613.249 * * [simplify]: iters left: 1 (354 enodes)
1554042613.423 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042613.423 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042613.423 * * [simplify]: Extracting #2: cost 9 inf + 0
1554042613.423 * * [simplify]: Extracting #3: cost 36 inf + 0
1554042613.424 * * [simplify]: Extracting #4: cost 113 inf + 164
1554042613.424 * * [simplify]: Extracting #5: cost 137 inf + 711
1554042613.427 * * [simplify]: Extracting #6: cost 71 inf + 16363
1554042613.439 * * [simplify]: Extracting #7: cost 10 inf + 50147
1554042613.450 * * [simplify]: Extracting #8: cost 0 inf + 57814
1554042613.460 * * [simplify]: Extracting #9: cost 0 inf + 57305
1554042613.470 * * [simplify]: Extracting #10: cost 0 inf + 57095
1554042613.487 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k)))
1554042613.488 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k)))))
1554042613.488 * * * * [progress]: [ 86 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k)))))>
1554042613.488 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt k) (cbrt k))))
1554042613.488 * * [simplify]: iters left: 6 (15 enodes)
1554042613.500 * * [simplify]: iters left: 5 (61 enodes)
1554042613.514 * * [simplify]: iters left: 4 (95 enodes)
1554042613.530 * * [simplify]: iters left: 3 (131 enodes)
1554042613.560 * * [simplify]: iters left: 2 (199 enodes)
1554042613.624 * * [simplify]: iters left: 1 (362 enodes)
1554042613.757 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042613.757 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042613.757 * * [simplify]: Extracting #2: cost 10 inf + 0
1554042613.757 * * [simplify]: Extracting #3: cost 41 inf + 0
1554042613.758 * * [simplify]: Extracting #4: cost 124 inf + 325
1554042613.760 * * [simplify]: Extracting #5: cost 146 inf + 2066
1554042613.765 * * [simplify]: Extracting #6: cost 88 inf + 11216
1554042613.773 * * [simplify]: Extracting #7: cost 59 inf + 18921
1554042613.786 * * [simplify]: Extracting #8: cost 20 inf + 50076
1554042613.796 * * [simplify]: Extracting #9: cost 0 inf + 68061
1554042613.809 * * [simplify]: Extracting #10: cost 0 inf + 67850
1554042613.826 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (fabs (cbrt k)))
1554042613.826 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (fabs (cbrt k))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k)))))
1554042613.826 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k)))
1554042613.826 * * [simplify]: iters left: 6 (14 enodes)
1554042613.834 * * [simplify]: iters left: 5 (57 enodes)
1554042613.854 * * [simplify]: iters left: 4 (91 enodes)
1554042613.883 * * [simplify]: iters left: 3 (127 enodes)
1554042613.925 * * [simplify]: iters left: 2 (195 enodes)
1554042614.001 * * [simplify]: iters left: 1 (354 enodes)
1554042614.158 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042614.158 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042614.158 * * [simplify]: Extracting #2: cost 9 inf + 0
1554042614.158 * * [simplify]: Extracting #3: cost 36 inf + 0
1554042614.159 * * [simplify]: Extracting #4: cost 113 inf + 204
1554042614.160 * * [simplify]: Extracting #5: cost 137 inf + 791
1554042614.165 * * [simplify]: Extracting #6: cost 71 inf + 16443
1554042614.185 * * [simplify]: Extracting #7: cost 10 inf + 50227
1554042614.204 * * [simplify]: Extracting #8: cost 0 inf + 57894
1554042614.223 * * [simplify]: Extracting #9: cost 0 inf + 57385
1554042614.242 * * [simplify]: Extracting #10: cost 0 inf + 57175
1554042614.261 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt k)))
1554042614.261 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt k)))))
1554042614.262 * * * * [progress]: [ 87 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))))>
1554042614.262 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))
1554042614.262 * * [simplify]: iters left: 6 (14 enodes)
1554042614.270 * * [simplify]: iters left: 5 (57 enodes)
1554042614.291 * * [simplify]: iters left: 4 (91 enodes)
1554042614.309 * * [simplify]: iters left: 3 (127 enodes)
1554042614.337 * * [simplify]: iters left: 2 (195 enodes)
1554042614.401 * * [simplify]: iters left: 1 (354 enodes)
1554042614.530 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042614.530 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042614.530 * * [simplify]: Extracting #2: cost 9 inf + 0
1554042614.530 * * [simplify]: Extracting #3: cost 36 inf + 0
1554042614.531 * * [simplify]: Extracting #4: cost 113 inf + 124
1554042614.532 * * [simplify]: Extracting #5: cost 137 inf + 631
1554042614.537 * * [simplify]: Extracting #6: cost 71 inf + 16283
1554042614.549 * * [simplify]: Extracting #7: cost 10 inf + 49987
1554042614.558 * * [simplify]: Extracting #8: cost 0 inf + 57654
1554042614.568 * * [simplify]: Extracting #9: cost 0 inf + 57145
1554042614.584 * * [simplify]: Extracting #10: cost 0 inf + 56935
1554042614.604 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k)))
1554042614.604 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))))
1554042614.604 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))
1554042614.604 * * [simplify]: iters left: 6 (14 enodes)
1554042614.612 * * [simplify]: iters left: 5 (57 enodes)
1554042614.632 * * [simplify]: iters left: 4 (91 enodes)
1554042614.664 * * [simplify]: iters left: 3 (127 enodes)
1554042614.706 * * [simplify]: iters left: 2 (195 enodes)
1554042614.777 * * [simplify]: iters left: 1 (354 enodes)
1554042614.922 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042614.922 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042614.922 * * [simplify]: Extracting #2: cost 9 inf + 0
1554042614.922 * * [simplify]: Extracting #3: cost 36 inf + 0
1554042614.923 * * [simplify]: Extracting #4: cost 113 inf + 124
1554042614.924 * * [simplify]: Extracting #5: cost 137 inf + 631
1554042614.929 * * [simplify]: Extracting #6: cost 71 inf + 16283
1554042614.937 * * [simplify]: Extracting #7: cost 10 inf + 49987
1554042614.946 * * [simplify]: Extracting #8: cost 0 inf + 57654
1554042614.956 * * [simplify]: Extracting #9: cost 0 inf + 57145
1554042614.976 * * [simplify]: Extracting #10: cost 0 inf + 56935
1554042614.994 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k)))
1554042614.994 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k)))))
1554042614.994 * * * * [progress]: [ 88 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k))))>
1554042614.995 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1))
1554042614.995 * * [simplify]: iters left: 6 (13 enodes)
1554042615.000 * * [simplify]: iters left: 5 (54 enodes)
1554042615.011 * * [simplify]: iters left: 4 (88 enodes)
1554042615.025 * * [simplify]: iters left: 3 (127 enodes)
1554042615.065 * * [simplify]: iters left: 2 (196 enodes)
1554042615.134 * * [simplify]: iters left: 1 (362 enodes)
1554042615.671 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042615.671 * * [simplify]: Extracting #1: cost 5 inf + 0
1554042615.671 * * [simplify]: Extracting #2: cost 27 inf + 1
1554042615.672 * * [simplify]: Extracting #3: cost 103 inf + 2
1554042615.673 * * [simplify]: Extracting #4: cost 147 inf + 177
1554042615.675 * * [simplify]: Extracting #5: cost 138 inf + 727
1554042615.678 * * [simplify]: Extracting #6: cost 92 inf + 5570
1554042615.689 * * [simplify]: Extracting #7: cost 20 inf + 39855
1554042615.706 * * [simplify]: Extracting #8: cost 0 inf + 56614
1554042615.721 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))
1554042615.721 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k))))
1554042615.722 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k))
1554042615.722 * * [simplify]: iters left: 6 (13 enodes)
1554042615.726 * * [simplify]: iters left: 5 (54 enodes)
1554042615.736 * * [simplify]: iters left: 4 (88 enodes)
1554042615.753 * * [simplify]: iters left: 3 (125 enodes)
1554042615.795 * * [simplify]: iters left: 2 (193 enodes)
1554042615.849 * * [simplify]: iters left: 1 (356 enodes)
1554042615.981 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042615.981 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042615.981 * * [simplify]: Extracting #2: cost 9 inf + 0
1554042615.981 * * [simplify]: Extracting #3: cost 32 inf + 1
1554042615.981 * * [simplify]: Extracting #4: cost 105 inf + 84
1554042615.983 * * [simplify]: Extracting #5: cost 126 inf + 1591
1554042615.988 * * [simplify]: Extracting #6: cost 68 inf + 14727
1554042616.007 * * [simplify]: Extracting #7: cost 10 inf + 40855
1554042616.032 * * [simplify]: Extracting #8: cost 0 inf + 47636
1554042616.062 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k))
1554042616.062 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k))))
1554042616.062 * * * * [progress]: [ 89 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))))>
1554042616.063 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))
1554042616.063 * * [simplify]: iters left: 6 (14 enodes)
1554042616.071 * * [simplify]: iters left: 5 (57 enodes)
1554042616.090 * * [simplify]: iters left: 4 (91 enodes)
1554042616.119 * * [simplify]: iters left: 3 (127 enodes)
1554042616.146 * * [simplify]: iters left: 2 (195 enodes)
1554042616.192 * * [simplify]: iters left: 1 (354 enodes)
1554042616.353 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042616.353 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042616.353 * * [simplify]: Extracting #2: cost 9 inf + 0
1554042616.353 * * [simplify]: Extracting #3: cost 36 inf + 0
1554042616.354 * * [simplify]: Extracting #4: cost 113 inf + 124
1554042616.355 * * [simplify]: Extracting #5: cost 137 inf + 631
1554042616.360 * * [simplify]: Extracting #6: cost 71 inf + 16283
1554042616.376 * * [simplify]: Extracting #7: cost 10 inf + 49987
1554042616.400 * * [simplify]: Extracting #8: cost 0 inf + 57654
1554042616.419 * * [simplify]: Extracting #9: cost 0 inf + 57145
1554042616.434 * * [simplify]: Extracting #10: cost 0 inf + 56935
1554042616.443 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k)))
1554042616.444 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))))
1554042616.444 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))
1554042616.444 * * [simplify]: iters left: 6 (14 enodes)
1554042616.448 * * [simplify]: iters left: 5 (57 enodes)
1554042616.462 * * [simplify]: iters left: 4 (91 enodes)
1554042616.484 * * [simplify]: iters left: 3 (127 enodes)
1554042616.508 * * [simplify]: iters left: 2 (195 enodes)
1554042616.554 * * [simplify]: iters left: 1 (354 enodes)
1554042616.684 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042616.684 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042616.684 * * [simplify]: Extracting #2: cost 9 inf + 0
1554042616.684 * * [simplify]: Extracting #3: cost 36 inf + 0
1554042616.684 * * [simplify]: Extracting #4: cost 113 inf + 124
1554042616.685 * * [simplify]: Extracting #5: cost 137 inf + 631
1554042616.688 * * [simplify]: Extracting #6: cost 71 inf + 16283
1554042616.698 * * [simplify]: Extracting #7: cost 10 inf + 49987
1554042616.717 * * [simplify]: Extracting #8: cost 0 inf + 57654
1554042616.731 * * [simplify]: Extracting #9: cost 0 inf + 57145
1554042616.741 * * [simplify]: Extracting #10: cost 0 inf + 56935
1554042616.751 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k)))
1554042616.751 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k)))))
1554042616.751 * * * * [progress]: [ 90 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k))))>
1554042616.751 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1)
1554042616.751 * * [simplify]: iters left: 6 (12 enodes)
1554042616.756 * * [simplify]: iters left: 5 (49 enodes)
1554042616.772 * * [simplify]: iters left: 4 (83 enodes)
1554042616.788 * * [simplify]: iters left: 3 (124 enodes)
1554042616.817 * * [simplify]: iters left: 2 (197 enodes)
1554042616.872 * * [simplify]: iters left: 1 (352 enodes)
1554042617.049 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042617.049 * * [simplify]: Extracting #1: cost 5 inf + 0
1554042617.049 * * [simplify]: Extracting #2: cost 27 inf + 1
1554042617.050 * * [simplify]: Extracting #3: cost 107 inf + 2
1554042617.050 * * [simplify]: Extracting #4: cost 136 inf + 177
1554042617.051 * * [simplify]: Extracting #5: cost 130 inf + 641
1554042617.053 * * [simplify]: Extracting #6: cost 70 inf + 10495
1554042617.057 * * [simplify]: Extracting #7: cost 39 inf + 22866
1554042617.064 * * [simplify]: Extracting #8: cost 5 inf + 50330
1554042617.074 * * [simplify]: Extracting #9: cost 0 inf + 54200
1554042617.084 * * [simplify]: Extracting #10: cost 0 inf + 53889
1554042617.094 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))
1554042617.094 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k))))
1554042617.094 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k))
1554042617.094 * * [simplify]: iters left: 6 (13 enodes)
1554042617.099 * * [simplify]: iters left: 5 (54 enodes)
1554042617.112 * * [simplify]: iters left: 4 (88 enodes)
1554042617.126 * * [simplify]: iters left: 3 (125 enodes)
1554042617.146 * * [simplify]: iters left: 2 (193 enodes)
1554042617.203 * * [simplify]: iters left: 1 (356 enodes)
1554042617.332 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042617.332 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042617.332 * * [simplify]: Extracting #2: cost 9 inf + 0
1554042617.332 * * [simplify]: Extracting #3: cost 32 inf + 1
1554042617.332 * * [simplify]: Extracting #4: cost 105 inf + 84
1554042617.333 * * [simplify]: Extracting #5: cost 126 inf + 1591
1554042617.336 * * [simplify]: Extracting #6: cost 68 inf + 14727
1554042617.349 * * [simplify]: Extracting #7: cost 10 inf + 40855
1554042617.373 * * [simplify]: Extracting #8: cost 0 inf + 47636
1554042617.399 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k))
1554042617.399 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k))))
1554042617.399 * * * * [progress]: [ 91 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt k)))))>
1554042617.399 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1554042617.400 * * [simplify]: iters left: 6 (6 enodes)
1554042617.403 * * [simplify]: iters left: 5 (22 enodes)
1554042617.410 * * [simplify]: iters left: 4 (26 enodes)
1554042617.421 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042617.421 * * [simplify]: Extracting #1: cost 6 inf + 0
1554042617.421 * * [simplify]: Extracting #2: cost 9 inf + 1
1554042617.421 * * [simplify]: Extracting #3: cost 11 inf + 1
1554042617.422 * * [simplify]: Extracting #4: cost 8 inf + 84
1554042617.422 * * [simplify]: Extracting #5: cost 2 inf + 1013
1554042617.422 * * [simplify]: Extracting #6: cost 0 inf + 1376
1554042617.423 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1554042617.423 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt k)))))
1554042617.423 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt k)))
1554042617.423 * * [simplify]: iters left: 6 (13 enodes)
1554042617.431 * * [simplify]: iters left: 5 (54 enodes)
1554042617.449 * * [simplify]: iters left: 4 (89 enodes)
1554042617.479 * * [simplify]: iters left: 3 (136 enodes)
1554042617.523 * * [simplify]: iters left: 2 (221 enodes)
1554042617.613 * * [simplify]: iters left: 1 (444 enodes)
1554042617.827 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042617.827 * * [simplify]: Extracting #1: cost 51 inf + 0
1554042617.827 * * [simplify]: Extracting #2: cost 142 inf + 0
1554042617.828 * * [simplify]: Extracting #3: cost 218 inf + 3
1554042617.830 * * [simplify]: Extracting #4: cost 207 inf + 1337
1554042617.833 * * [simplify]: Extracting #5: cost 133 inf + 19274
1554042617.846 * * [simplify]: Extracting #6: cost 32 inf + 94866
1554042617.881 * * [simplify]: Extracting #7: cost 0 inf + 124049
1554042617.921 * * [simplify]: Extracting #8: cost 0 inf + 120814
1554042617.940 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt k)))
1554042617.940 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt k)))))
1554042617.940 * * * * [progress]: [ 92 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k)))))>
1554042617.941 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt k) (cbrt k))))
1554042617.941 * * [simplify]: iters left: 6 (6 enodes)
1554042617.943 * * [simplify]: iters left: 5 (21 enodes)
1554042617.946 * * [simplify]: iters left: 4 (23 enodes)
1554042617.950 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042617.950 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042617.950 * * [simplify]: Extracting #2: cost 6 inf + 1
1554042617.950 * * [simplify]: Extracting #3: cost 9 inf + 1
1554042617.950 * * [simplify]: Extracting #4: cost 8 inf + 2
1554042617.950 * * [simplify]: Extracting #5: cost 1 inf + 810
1554042617.950 * * [simplify]: Extracting #6: cost 0 inf + 972
1554042617.950 * [simplify]: Simplified to (/ 1 (fabs (cbrt k)))
1554042617.950 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k)))))
1554042617.950 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k)))
1554042617.951 * * [simplify]: iters left: 6 (13 enodes)
1554042617.955 * * [simplify]: iters left: 5 (54 enodes)
1554042617.967 * * [simplify]: iters left: 4 (89 enodes)
1554042617.990 * * [simplify]: iters left: 3 (136 enodes)
1554042618.025 * * [simplify]: iters left: 2 (221 enodes)
1554042618.083 * * [simplify]: iters left: 1 (444 enodes)
1554042618.319 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042618.319 * * [simplify]: Extracting #1: cost 51 inf + 0
1554042618.319 * * [simplify]: Extracting #2: cost 142 inf + 0
1554042618.320 * * [simplify]: Extracting #3: cost 218 inf + 3
1554042618.324 * * [simplify]: Extracting #4: cost 207 inf + 1377
1554042618.327 * * [simplify]: Extracting #5: cost 133 inf + 19354
1554042618.349 * * [simplify]: Extracting #6: cost 32 inf + 94946
1554042618.383 * * [simplify]: Extracting #7: cost 0 inf + 124129
1554042618.417 * * [simplify]: Extracting #8: cost 0 inf + 120894
1554042618.449 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k)))
1554042618.449 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k)))))
1554042618.450 * * * * [progress]: [ 93 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))))>
1554042618.450 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k)))
1554042618.450 * * [simplify]: iters left: 4 (5 enodes)
1554042618.452 * * [simplify]: iters left: 3 (17 enodes)
1554042618.455 * * [simplify]: iters left: 2 (19 enodes)
1554042618.458 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042618.458 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042618.458 * * [simplify]: Extracting #2: cost 5 inf + 1
1554042618.458 * * [simplify]: Extracting #3: cost 7 inf + 1
1554042618.458 * * [simplify]: Extracting #4: cost 0 inf + 490
1554042618.458 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k)))
1554042618.458 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))))
1554042618.458 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))
1554042618.458 * * [simplify]: iters left: 6 (13 enodes)
1554042618.463 * * [simplify]: iters left: 5 (54 enodes)
1554042618.475 * * [simplify]: iters left: 4 (89 enodes)
1554042618.498 * * [simplify]: iters left: 3 (136 enodes)
1554042618.543 * * [simplify]: iters left: 2 (221 enodes)
1554042618.603 * * [simplify]: iters left: 1 (444 enodes)
1554042618.852 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042618.852 * * [simplify]: Extracting #1: cost 51 inf + 0
1554042618.853 * * [simplify]: Extracting #2: cost 142 inf + 0
1554042618.854 * * [simplify]: Extracting #3: cost 218 inf + 3
1554042618.856 * * [simplify]: Extracting #4: cost 207 inf + 1257
1554042618.863 * * [simplify]: Extracting #5: cost 133 inf + 18954
1554042618.888 * * [simplify]: Extracting #6: cost 32 inf + 92706
1554042618.924 * * [simplify]: Extracting #7: cost 0 inf + 121009
1554042618.958 * * [simplify]: Extracting #8: cost 0 inf + 117774
1554042618.977 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))
1554042618.977 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))))
1554042618.977 * * * * [progress]: [ 94 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt 1)) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))))>
1554042618.977 * [simplify]: Simplifying (/ 1 (sqrt 1))
1554042618.977 * * [simplify]: iters left: 3 (3 enodes)
1554042618.981 * * [simplify]: iters left: 2 (11 enodes)
1554042618.983 * * [simplify]: iters left: 1 (13 enodes)
1554042618.985 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042618.985 * * [simplify]: Extracting #1: cost 0 inf + 1
1554042618.985 * [simplify]: Simplified to 1
1554042618.985 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))))
1554042618.985 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))
1554042618.985 * * [simplify]: iters left: 6 (12 enodes)
1554042618.992 * * [simplify]: iters left: 5 (51 enodes)
1554042619.010 * * [simplify]: iters left: 4 (86 enodes)
1554042619.038 * * [simplify]: iters left: 3 (133 enodes)
1554042619.082 * * [simplify]: iters left: 2 (218 enodes)
1554042619.170 * * [simplify]: iters left: 1 (444 enodes)
1554042619.351 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042619.352 * * [simplify]: Extracting #1: cost 39 inf + 0
1554042619.352 * * [simplify]: Extracting #2: cost 126 inf + 0
1554042619.353 * * [simplify]: Extracting #3: cost 201 inf + 4
1554042619.354 * * [simplify]: Extracting #4: cost 189 inf + 1508
1554042619.356 * * [simplify]: Extracting #5: cost 135 inf + 9951
1554042619.364 * * [simplify]: Extracting #6: cost 51 inf + 62585
1554042619.383 * * [simplify]: Extracting #7: cost 2 inf + 102691
1554042619.413 * * [simplify]: Extracting #8: cost 0 inf + 104433
1554042619.429 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))
1554042619.429 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))))
1554042619.429 * * * * [progress]: [ 95 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))))>
1554042619.430 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k)))
1554042619.430 * * [simplify]: iters left: 4 (5 enodes)
1554042619.431 * * [simplify]: iters left: 3 (17 enodes)
1554042619.434 * * [simplify]: iters left: 2 (19 enodes)
1554042619.438 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042619.438 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042619.438 * * [simplify]: Extracting #2: cost 5 inf + 1
1554042619.438 * * [simplify]: Extracting #3: cost 7 inf + 1
1554042619.438 * * [simplify]: Extracting #4: cost 0 inf + 490
1554042619.438 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k)))
1554042619.438 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))))
1554042619.438 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))
1554042619.438 * * [simplify]: iters left: 6 (13 enodes)
1554042619.442 * * [simplify]: iters left: 5 (54 enodes)
1554042619.454 * * [simplify]: iters left: 4 (89 enodes)
1554042619.477 * * [simplify]: iters left: 3 (136 enodes)
1554042619.503 * * [simplify]: iters left: 2 (221 enodes)
1554042619.548 * * [simplify]: iters left: 1 (444 enodes)
1554042619.762 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042619.762 * * [simplify]: Extracting #1: cost 51 inf + 0
1554042619.764 * * [simplify]: Extracting #2: cost 142 inf + 0
1554042619.767 * * [simplify]: Extracting #3: cost 218 inf + 3
1554042619.769 * * [simplify]: Extracting #4: cost 207 inf + 1257
1554042619.772 * * [simplify]: Extracting #5: cost 133 inf + 18954
1554042619.785 * * [simplify]: Extracting #6: cost 32 inf + 92706
1554042619.816 * * [simplify]: Extracting #7: cost 0 inf + 121009
1554042619.852 * * [simplify]: Extracting #8: cost 0 inf + 117774
1554042619.876 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))
1554042619.876 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))))
1554042619.877 * * * * [progress]: [ 96 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))))>
1554042619.877 * [simplify]: Simplifying (/ 1 1)
1554042619.877 * * [simplify]: iters left: 2 (2 enodes)
1554042619.878 * * [simplify]: iters left: 1 (6 enodes)
1554042619.879 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042619.879 * * [simplify]: Extracting #1: cost 0 inf + 1
1554042619.879 * [simplify]: Simplified to 1
1554042619.879 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))))
1554042619.880 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))
1554042619.880 * * [simplify]: iters left: 6 (12 enodes)
1554042619.883 * * [simplify]: iters left: 5 (51 enodes)
1554042619.895 * * [simplify]: iters left: 4 (86 enodes)
1554042619.919 * * [simplify]: iters left: 3 (133 enodes)
1554042619.943 * * [simplify]: iters left: 2 (218 enodes)
1554042620.006 * * [simplify]: iters left: 1 (444 enodes)
1554042620.221 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042620.221 * * [simplify]: Extracting #1: cost 39 inf + 0
1554042620.221 * * [simplify]: Extracting #2: cost 126 inf + 0
1554042620.222 * * [simplify]: Extracting #3: cost 201 inf + 4
1554042620.223 * * [simplify]: Extracting #4: cost 189 inf + 1508
1554042620.226 * * [simplify]: Extracting #5: cost 135 inf + 9951
1554042620.234 * * [simplify]: Extracting #6: cost 51 inf + 62585
1554042620.250 * * [simplify]: Extracting #7: cost 2 inf + 102691
1554042620.265 * * [simplify]: Extracting #8: cost 0 inf + 104433
1554042620.281 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))
1554042620.282 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))))
1554042620.282 * * * * [progress]: [ 97 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt k)))))>
1554042620.282 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1554042620.282 * * [simplify]: iters left: 6 (15 enodes)
1554042620.290 * * [simplify]: iters left: 5 (65 enodes)
1554042620.302 * * [simplify]: iters left: 4 (109 enodes)
1554042620.321 * * [simplify]: iters left: 3 (185 enodes)
1554042620.358 * * [simplify]: iters left: 2 (368 enodes)
1554042620.458 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042620.459 * * [simplify]: Extracting #1: cost 54 inf + 0
1554042620.459 * * [simplify]: Extracting #2: cost 144 inf + 0
1554042620.461 * * [simplify]: Extracting #3: cost 223 inf + 2
1554042620.463 * * [simplify]: Extracting #4: cost 217 inf + 1415
1554042620.468 * * [simplify]: Extracting #5: cost 166 inf + 8610
1554042620.483 * * [simplify]: Extracting #6: cost 63 inf + 69583
1554042620.505 * * [simplify]: Extracting #7: cost 0 inf + 121597
1554042620.522 * * [simplify]: Extracting #8: cost 0 inf + 120169
1554042620.551 * * [simplify]: Extracting #9: cost 0 inf + 120168
1554042620.572 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1554042620.573 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt k)))))
1554042620.573 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt k)))
1554042620.573 * * [simplify]: iters left: 6 (14 enodes)
1554042620.578 * * [simplify]: iters left: 5 (60 enodes)
1554042620.591 * * [simplify]: iters left: 4 (98 enodes)
1554042620.613 * * [simplify]: iters left: 3 (157 enodes)
1554042620.657 * * [simplify]: iters left: 2 (290 enodes)
1554042620.756 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042620.756 * * [simplify]: Extracting #1: cost 30 inf + 0
1554042620.756 * * [simplify]: Extracting #2: cost 72 inf + 0
1554042620.757 * * [simplify]: Extracting #3: cost 138 inf + 2
1554042620.758 * * [simplify]: Extracting #4: cost 142 inf + 932
1554042620.764 * * [simplify]: Extracting #5: cost 72 inf + 18422
1554042620.778 * * [simplify]: Extracting #6: cost 10 inf + 45090
1554042620.795 * * [simplify]: Extracting #7: cost 0 inf + 51502
1554042620.815 * * [simplify]: Extracting #8: cost 0 inf + 51262
1554042620.832 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (cbrt (sqrt k)))
1554042620.832 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (cbrt (sqrt k)))))
1554042620.832 * * * * [progress]: [ 98 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt k)))))>
1554042620.833 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt k) (cbrt k))))
1554042620.833 * * [simplify]: iters left: 6 (15 enodes)
1554042620.842 * * [simplify]: iters left: 5 (64 enodes)
1554042620.862 * * [simplify]: iters left: 4 (102 enodes)
1554042620.881 * * [simplify]: iters left: 3 (161 enodes)
1554042620.921 * * [simplify]: iters left: 2 (288 enodes)
1554042621.001 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042621.002 * * [simplify]: Extracting #1: cost 30 inf + 0
1554042621.002 * * [simplify]: Extracting #2: cost 73 inf + 0
1554042621.003 * * [simplify]: Extracting #3: cost 138 inf + 2
1554042621.004 * * [simplify]: Extracting #4: cost 144 inf + 347
1554042621.006 * * [simplify]: Extracting #5: cost 101 inf + 5180
1554042621.014 * * [simplify]: Extracting #6: cost 44 inf + 26188
1554042621.026 * * [simplify]: Extracting #7: cost 7 inf + 54487
1554042621.042 * * [simplify]: Extracting #8: cost 0 inf + 59312
1554042621.055 * * [simplify]: Extracting #9: cost 0 inf + 58534
1554042621.063 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (fabs (cbrt k)))
1554042621.063 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (fabs (cbrt k))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt k)))))
1554042621.063 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt k)))
1554042621.063 * * [simplify]: iters left: 6 (14 enodes)
1554042621.068 * * [simplify]: iters left: 5 (60 enodes)
1554042621.079 * * [simplify]: iters left: 4 (98 enodes)
1554042621.111 * * [simplify]: iters left: 3 (157 enodes)
1554042621.152 * * [simplify]: iters left: 2 (290 enodes)
1554042621.233 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042621.233 * * [simplify]: Extracting #1: cost 30 inf + 0
1554042621.233 * * [simplify]: Extracting #2: cost 72 inf + 0
1554042621.234 * * [simplify]: Extracting #3: cost 138 inf + 2
1554042621.235 * * [simplify]: Extracting #4: cost 142 inf + 932
1554042621.240 * * [simplify]: Extracting #5: cost 72 inf + 18502
1554042621.254 * * [simplify]: Extracting #6: cost 10 inf + 45170
1554042621.276 * * [simplify]: Extracting #7: cost 0 inf + 51582
1554042621.293 * * [simplify]: Extracting #8: cost 0 inf + 51342
1554042621.309 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (cbrt k)))
1554042621.309 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (cbrt k)))))
1554042621.309 * * * * [progress]: [ 99 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))))>
1554042621.310 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))
1554042621.310 * * [simplify]: iters left: 6 (14 enodes)
1554042621.314 * * [simplify]: iters left: 5 (60 enodes)
1554042621.325 * * [simplify]: iters left: 4 (98 enodes)
1554042621.349 * * [simplify]: iters left: 3 (157 enodes)
1554042621.382 * * [simplify]: iters left: 2 (290 enodes)
1554042621.465 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042621.465 * * [simplify]: Extracting #1: cost 30 inf + 0
1554042621.466 * * [simplify]: Extracting #2: cost 72 inf + 0
1554042621.466 * * [simplify]: Extracting #3: cost 138 inf + 2
1554042621.467 * * [simplify]: Extracting #4: cost 142 inf + 932
1554042621.473 * * [simplify]: Extracting #5: cost 72 inf + 18102
1554042621.487 * * [simplify]: Extracting #6: cost 10 inf + 44010
1554042621.506 * * [simplify]: Extracting #7: cost 0 inf + 50022
1554042621.515 * * [simplify]: Extracting #8: cost 0 inf + 49782
1554042621.524 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
1554042621.524 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))))
1554042621.524 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))
1554042621.524 * * [simplify]: iters left: 6 (14 enodes)
1554042621.529 * * [simplify]: iters left: 5 (60 enodes)
1554042621.540 * * [simplify]: iters left: 4 (98 enodes)
1554042621.573 * * [simplify]: iters left: 3 (157 enodes)
1554042621.607 * * [simplify]: iters left: 2 (290 enodes)
1554042621.719 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042621.720 * * [simplify]: Extracting #1: cost 30 inf + 0
1554042621.720 * * [simplify]: Extracting #2: cost 72 inf + 0
1554042621.721 * * [simplify]: Extracting #3: cost 138 inf + 2
1554042621.722 * * [simplify]: Extracting #4: cost 142 inf + 932
1554042621.728 * * [simplify]: Extracting #5: cost 72 inf + 18102
1554042621.746 * * [simplify]: Extracting #6: cost 10 inf + 44010
1554042621.764 * * [simplify]: Extracting #7: cost 0 inf + 50022
1554042621.781 * * [simplify]: Extracting #8: cost 0 inf + 49782
1554042621.798 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
1554042621.798 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k)))))
1554042621.798 * * * * [progress]: [ 100 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
1554042621.798 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1))
1554042621.799 * * [simplify]: iters left: 6 (13 enodes)
1554042621.808 * * [simplify]: iters left: 5 (57 enodes)
1554042621.828 * * [simplify]: iters left: 4 (93 enodes)
1554042621.845 * * [simplify]: iters left: 3 (148 enodes)
1554042621.887 * * [simplify]: iters left: 2 (271 enodes)
1554042621.982 * * [simplify]: iters left: 1 (495 enodes)
1554042622.205 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042622.205 * * [simplify]: Extracting #1: cost 55 inf + 0
1554042622.206 * * [simplify]: Extracting #2: cost 164 inf + 2
1554042622.207 * * [simplify]: Extracting #3: cost 237 inf + 220
1554042622.208 * * [simplify]: Extracting #4: cost 230 inf + 978
1554042622.211 * * [simplify]: Extracting #5: cost 141 inf + 13550
1554042622.223 * * [simplify]: Extracting #6: cost 75 inf + 38571
1554042622.243 * * [simplify]: Extracting #7: cost 10 inf + 93049
1554042622.261 * * [simplify]: Extracting #8: cost 0 inf + 100862
1554042622.288 * * [simplify]: Extracting #9: cost 0 inf + 100439
1554042622.318 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 4))
1554042622.318 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
1554042622.318 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))
1554042622.319 * * [simplify]: iters left: 6 (13 enodes)
1554042622.326 * * [simplify]: iters left: 5 (57 enodes)
1554042622.346 * * [simplify]: iters left: 4 (95 enodes)
1554042622.370 * * [simplify]: iters left: 3 (154 enodes)
1554042622.410 * * [simplify]: iters left: 2 (287 enodes)
1554042622.497 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042622.497 * * [simplify]: Extracting #1: cost 30 inf + 0
1554042622.497 * * [simplify]: Extracting #2: cost 73 inf + 0
1554042622.501 * * [simplify]: Extracting #3: cost 136 inf + 3
1554042622.501 * * [simplify]: Extracting #4: cost 132 inf + 1178
1554042622.503 * * [simplify]: Extracting #5: cost 90 inf + 6800
1554042622.508 * * [simplify]: Extracting #6: cost 20 inf + 38881
1554042622.515 * * [simplify]: Extracting #7: cost 0 inf + 54585
1554042622.523 * * [simplify]: Extracting #8: cost 0 inf + 54374
1554042622.530 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k))
1554042622.531 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k))))
1554042622.531 * * * * [progress]: [ 101 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))))>
1554042622.531 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))
1554042622.531 * * [simplify]: iters left: 6 (14 enodes)
1554042622.538 * * [simplify]: iters left: 5 (60 enodes)
1554042622.559 * * [simplify]: iters left: 4 (98 enodes)
1554042622.586 * * [simplify]: iters left: 3 (157 enodes)
1554042622.626 * * [simplify]: iters left: 2 (290 enodes)
1554042622.696 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042622.697 * * [simplify]: Extracting #1: cost 30 inf + 0
1554042622.697 * * [simplify]: Extracting #2: cost 72 inf + 0
1554042622.697 * * [simplify]: Extracting #3: cost 138 inf + 2
1554042622.698 * * [simplify]: Extracting #4: cost 142 inf + 932
1554042622.700 * * [simplify]: Extracting #5: cost 72 inf + 18102
1554042622.707 * * [simplify]: Extracting #6: cost 10 inf + 44010
1554042622.716 * * [simplify]: Extracting #7: cost 0 inf + 50022
1554042622.731 * * [simplify]: Extracting #8: cost 0 inf + 49782
1554042622.739 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
1554042622.739 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))))
1554042622.739 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))
1554042622.739 * * [simplify]: iters left: 6 (14 enodes)
1554042622.744 * * [simplify]: iters left: 5 (60 enodes)
1554042622.755 * * [simplify]: iters left: 4 (98 enodes)
1554042622.777 * * [simplify]: iters left: 3 (157 enodes)
1554042622.817 * * [simplify]: iters left: 2 (290 enodes)
1554042622.882 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042622.882 * * [simplify]: Extracting #1: cost 30 inf + 0
1554042622.882 * * [simplify]: Extracting #2: cost 72 inf + 0
1554042622.883 * * [simplify]: Extracting #3: cost 138 inf + 2
1554042622.884 * * [simplify]: Extracting #4: cost 142 inf + 932
1554042622.890 * * [simplify]: Extracting #5: cost 72 inf + 18102
1554042622.904 * * [simplify]: Extracting #6: cost 10 inf + 44010
1554042622.913 * * [simplify]: Extracting #7: cost 0 inf + 50022
1554042622.922 * * [simplify]: Extracting #8: cost 0 inf + 49782
1554042622.930 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
1554042622.930 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k)))))
1554042622.931 * * * * [progress]: [ 102 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
1554042622.931 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1)
1554042622.931 * * [simplify]: iters left: 6 (12 enodes)
1554042622.935 * * [simplify]: iters left: 5 (52 enodes)
1554042622.952 * * [simplify]: iters left: 4 (90 enodes)
1554042622.983 * * [simplify]: iters left: 3 (151 enodes)
1554042623.021 * * [simplify]: iters left: 2 (287 enodes)
1554042623.113 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042623.113 * * [simplify]: Extracting #1: cost 31 inf + 0
1554042623.114 * * [simplify]: Extracting #2: cost 99 inf + 2
1554042623.115 * * [simplify]: Extracting #3: cost 141 inf + 219
1554042623.116 * * [simplify]: Extracting #4: cost 141 inf + 641
1554042623.119 * * [simplify]: Extracting #5: cost 86 inf + 6314
1554042623.126 * * [simplify]: Extracting #6: cost 34 inf + 26657
1554042623.136 * * [simplify]: Extracting #7: cost 3 inf + 48037
1554042623.143 * * [simplify]: Extracting #8: cost 0 inf + 50067
1554042623.150 * [simplify]: Simplified to (pow (* (* PI 2) n) (- 1/4 (/ k 4)))
1554042623.150 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
1554042623.150 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))
1554042623.150 * * [simplify]: iters left: 6 (13 enodes)
1554042623.155 * * [simplify]: iters left: 5 (57 enodes)
1554042623.165 * * [simplify]: iters left: 4 (95 enodes)
1554042623.195 * * [simplify]: iters left: 3 (154 enodes)
1554042623.229 * * [simplify]: iters left: 2 (287 enodes)
1554042623.315 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042623.315 * * [simplify]: Extracting #1: cost 30 inf + 0
1554042623.316 * * [simplify]: Extracting #2: cost 73 inf + 0
1554042623.316 * * [simplify]: Extracting #3: cost 136 inf + 3
1554042623.318 * * [simplify]: Extracting #4: cost 132 inf + 1178
1554042623.321 * * [simplify]: Extracting #5: cost 90 inf + 6800
1554042623.330 * * [simplify]: Extracting #6: cost 20 inf + 38881
1554042623.345 * * [simplify]: Extracting #7: cost 0 inf + 54585
1554042623.360 * * [simplify]: Extracting #8: cost 0 inf + 54374
1554042623.376 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k))
1554042623.376 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k))))
1554042623.376 * * * * [progress]: [ 103 / 127 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))))>
1554042623.376 * * * * [progress]: [ 104 / 127 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k))))>
1554042623.376 * * * * [progress]: [ 105 / 127 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))>
1554042623.376 * * * * [progress]: [ 106 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))>
1554042623.376 * [simplify]: Simplifying (cbrt (sqrt k))
1554042623.376 * * [simplify]: iters left: 2 (3 enodes)
1554042623.378 * * [simplify]: iters left: 1 (9 enodes)
1554042623.380 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042623.380 * * [simplify]: Extracting #1: cost 3 inf + 0
1554042623.380 * * [simplify]: Extracting #2: cost 5 inf + 0
1554042623.380 * * [simplify]: Extracting #3: cost 4 inf + 1
1554042623.380 * * [simplify]: Extracting #4: cost 0 inf + 325
1554042623.380 * [simplify]: Simplified to (cbrt (sqrt k))
1554042623.380 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))
1554042623.381 * * * * [progress]: [ 107 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k))))>
1554042623.381 * [simplify]: Simplifying (sqrt (cbrt k))
1554042623.381 * * [simplify]: iters left: 2 (3 enodes)
1554042623.382 * * [simplify]: iters left: 1 (9 enodes)
1554042623.385 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042623.385 * * [simplify]: Extracting #1: cost 3 inf + 0
1554042623.385 * * [simplify]: Extracting #2: cost 5 inf + 0
1554042623.385 * * [simplify]: Extracting #3: cost 4 inf + 1
1554042623.385 * * [simplify]: Extracting #4: cost 0 inf + 405
1554042623.385 * [simplify]: Simplified to (sqrt (cbrt k))
1554042623.385 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k))))
1554042623.385 * * * * [progress]: [ 108 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))>
1554042623.385 * [simplify]: Simplifying (sqrt (sqrt k))
1554042623.385 * * [simplify]: iters left: 2 (3 enodes)
1554042623.387 * * [simplify]: iters left: 1 (9 enodes)
1554042623.389 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042623.389 * * [simplify]: Extracting #1: cost 3 inf + 0
1554042623.389 * * [simplify]: Extracting #2: cost 5 inf + 0
1554042623.389 * * [simplify]: Extracting #3: cost 4 inf + 1
1554042623.389 * * [simplify]: Extracting #4: cost 0 inf + 245
1554042623.389 * [simplify]: Simplified to (sqrt (sqrt k))
1554042623.389 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))
1554042623.390 * * * * [progress]: [ 109 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt 1)) (sqrt k)))>
1554042623.390 * [simplify]: Simplifying (sqrt k)
1554042623.390 * * [simplify]: iters left: 1 (2 enodes)
1554042623.391 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042623.391 * * [simplify]: Extracting #1: cost 3 inf + 0
1554042623.391 * * [simplify]: Extracting #2: cost 2 inf + 1
1554042623.391 * * [simplify]: Extracting #3: cost 0 inf + 83
1554042623.391 * [simplify]: Simplified to (sqrt k)
1554042623.391 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt 1)) (sqrt k)))
1554042623.391 * * * * [progress]: [ 110 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))>
1554042623.391 * [simplify]: Simplifying (sqrt (sqrt k))
1554042623.391 * * [simplify]: iters left: 2 (3 enodes)
1554042623.393 * * [simplify]: iters left: 1 (9 enodes)
1554042623.395 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042623.395 * * [simplify]: Extracting #1: cost 3 inf + 0
1554042623.395 * * [simplify]: Extracting #2: cost 5 inf + 0
1554042623.395 * * [simplify]: Extracting #3: cost 4 inf + 1
1554042623.395 * * [simplify]: Extracting #4: cost 0 inf + 245
1554042623.395 * [simplify]: Simplified to (sqrt (sqrt k))
1554042623.395 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))
1554042623.396 * * * * [progress]: [ 111 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (sqrt k)))>
1554042623.396 * [simplify]: Simplifying (sqrt k)
1554042623.396 * * [simplify]: iters left: 1 (2 enodes)
1554042623.397 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042623.397 * * [simplify]: Extracting #1: cost 3 inf + 0
1554042623.397 * * [simplify]: Extracting #2: cost 2 inf + 1
1554042623.397 * * [simplify]: Extracting #3: cost 0 inf + 83
1554042623.397 * [simplify]: Simplified to (sqrt k)
1554042623.397 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (sqrt k)))
1554042623.397 * * * * [progress]: [ 112 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))>
1554042623.397 * [simplify]: Simplifying (pow n (/ (- 1 k) 2))
1554042623.398 * * [simplify]: iters left: 5 (7 enodes)
1554042623.402 * * [simplify]: iters left: 4 (32 enodes)
1554042623.408 * * [simplify]: iters left: 3 (57 enodes)
1554042623.418 * * [simplify]: iters left: 2 (88 enodes)
1554042623.443 * * [simplify]: iters left: 1 (156 enodes)
1554042623.509 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042623.509 * * [simplify]: Extracting #1: cost 13 inf + 0
1554042623.510 * * [simplify]: Extracting #2: cost 49 inf + 2
1554042623.510 * * [simplify]: Extracting #3: cost 80 inf + 6
1554042623.511 * * [simplify]: Extracting #4: cost 58 inf + 1840
1554042623.515 * * [simplify]: Extracting #5: cost 22 inf + 9206
1554042623.521 * * [simplify]: Extracting #6: cost 1 inf + 20886
1554042623.527 * * [simplify]: Extracting #7: cost 0 inf + 21301
1554042623.531 * * [simplify]: Extracting #8: cost 0 inf + 21130
1554042623.534 * [simplify]: Simplified to (pow n (/ (- 1 k) 2))
1554042623.534 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))
1554042623.534 * * * * [progress]: [ 113 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
1554042623.534 * [simplify]: Simplifying (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))
1554042623.534 * * [simplify]: iters left: 6 (12 enodes)
1554042623.539 * * [simplify]: iters left: 5 (51 enodes)
1554042623.548 * * [simplify]: iters left: 4 (84 enodes)
1554042623.570 * * [simplify]: iters left: 3 (125 enodes)
1554042623.613 * * [simplify]: iters left: 2 (198 enodes)
1554042623.678 * * [simplify]: iters left: 1 (353 enodes)
1554042623.827 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042623.827 * * [simplify]: Extracting #1: cost 3 inf + 0
1554042623.827 * * [simplify]: Extracting #2: cost 5 inf + 0
1554042623.827 * * [simplify]: Extracting #3: cost 28 inf + 0
1554042623.828 * * [simplify]: Extracting #4: cost 101 inf + 1
1554042623.829 * * [simplify]: Extracting #5: cost 136 inf + 176
1554042623.830 * * [simplify]: Extracting #6: cost 127 inf + 1730
1554042623.835 * * [simplify]: Extracting #7: cost 68 inf + 14428
1554042623.849 * * [simplify]: Extracting #8: cost 24 inf + 38979
1554042623.870 * * [simplify]: Extracting #9: cost 0 inf + 59741
1554042623.886 * * [simplify]: Extracting #10: cost 0 inf + 57850
1554042623.896 * * [simplify]: Extracting #11: cost 0 inf + 57436
1554042623.910 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))))
1554042623.910 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
1554042623.910 * * * * [progress]: [ 114 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
1554042623.911 * [simplify]: Simplifying (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))
1554042623.911 * * [simplify]: iters left: 6 (11 enodes)
1554042623.918 * * [simplify]: iters left: 5 (48 enodes)
1554042623.935 * * [simplify]: iters left: 4 (78 enodes)
1554042623.960 * * [simplify]: iters left: 3 (120 enodes)
1554042624.003 * * [simplify]: iters left: 2 (211 enodes)
1554042624.074 * * [simplify]: iters left: 1 (378 enodes)
1554042624.239 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042624.240 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042624.240 * * [simplify]: Extracting #2: cost 28 inf + 0
1554042624.240 * * [simplify]: Extracting #3: cost 111 inf + 1
1554042624.241 * * [simplify]: Extracting #4: cost 151 inf + 220
1554042624.243 * * [simplify]: Extracting #5: cost 149 inf + 601
1554042624.246 * * [simplify]: Extracting #6: cost 109 inf + 5630
1554042624.251 * * [simplify]: Extracting #7: cost 43 inf + 25793
1554042624.260 * * [simplify]: Extracting #8: cost 5 inf + 52343
1554042624.273 * * [simplify]: Extracting #9: cost 0 inf + 56629
1554042624.284 * * [simplify]: Extracting #10: cost 0 inf + 55972
1554042624.304 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
1554042624.304 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
1554042624.304 * * * * [progress]: [ 115 / 127 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))>
1554042624.304 * * * * [progress]: [ 116 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
1554042624.304 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))
1554042624.305 * * [simplify]: iters left: 6 (11 enodes)
1554042624.312 * * [simplify]: iters left: 5 (51 enodes)
1554042624.321 * * [simplify]: iters left: 4 (87 enodes)
1554042624.337 * * [simplify]: iters left: 3 (143 enodes)
1554042624.373 * * [simplify]: iters left: 2 (259 enodes)
1554042624.444 * * [simplify]: iters left: 1 (467 enodes)
1554042624.669 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042624.669 * * [simplify]: Extracting #1: cost 23 inf + 0
1554042624.669 * * [simplify]: Extracting #2: cost 99 inf + 1
1554042624.671 * * [simplify]: Extracting #3: cost 180 inf + 178
1554042624.673 * * [simplify]: Extracting #4: cost 162 inf + 2505
1554042624.684 * * [simplify]: Extracting #5: cost 78 inf + 12096
1554042624.689 * * [simplify]: Extracting #6: cost 33 inf + 29460
1554042624.699 * * [simplify]: Extracting #7: cost 1 inf + 56926
1554042624.708 * * [simplify]: Extracting #8: cost 0 inf + 57804
1554042624.727 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/4 (- 1 k)))
1554042624.727 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))
1554042624.728 * * * * [progress]: [ 117 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ 1 2)) (* (sqrt k) (pow (* n (* 2 PI)) (/ k 2)))))>
1554042624.728 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 2))
1554042624.728 * * [simplify]: iters left: 5 (8 enodes)
1554042624.734 * * [simplify]: iters left: 4 (35 enodes)
1554042624.748 * * [simplify]: iters left: 3 (63 enodes)
1554042624.773 * * [simplify]: iters left: 2 (108 enodes)
1554042624.804 * * [simplify]: iters left: 1 (162 enodes)
1554042624.856 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042624.856 * * [simplify]: Extracting #1: cost 12 inf + 0
1554042624.856 * * [simplify]: Extracting #2: cost 40 inf + 2
1554042624.856 * * [simplify]: Extracting #3: cost 40 inf + 9
1554042624.856 * * [simplify]: Extracting #4: cost 25 inf + 2233
1554042624.857 * * [simplify]: Extracting #5: cost 10 inf + 8991
1554042624.859 * * [simplify]: Extracting #6: cost 0 inf + 14572
1554042624.861 * [simplify]: Simplified to (sqrt (* (* PI 2) n))
1554042624.861 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* PI 2) n)) (* (sqrt k) (pow (* n (* 2 PI)) (/ k 2)))))
1554042624.861 * * * * [progress]: [ 118 / 127 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))>
1554042624.861 * * * * [progress]: [ 119 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))))) (sqrt k)))>
1554042624.861 * [simplify]: Simplifying (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)))))
1554042624.862 * * [simplify]: iters left: 6 (37 enodes)
1554042624.874 * * [simplify]: iters left: 5 (187 enodes)
1554042624.947 * * [simplify]: iters left: 4 (488 enodes)
1554042625.178 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042625.178 * * [simplify]: Extracting #1: cost 57 inf + 0
1554042625.180 * * [simplify]: Extracting #2: cost 294 inf + 0
1554042625.183 * * [simplify]: Extracting #3: cost 524 inf + 199
1554042625.189 * * [simplify]: Extracting #4: cost 512 inf + 6095
1554042625.212 * * [simplify]: Extracting #5: cost 310 inf + 78036
1554042625.268 * * [simplify]: Extracting #6: cost 40 inf + 220622
1554042625.343 * * [simplify]: Extracting #7: cost 0 inf + 244981
1554042625.442 * * [simplify]: Extracting #8: cost 0 inf + 243455
1554042625.547 * * [simplify]: Extracting #9: cost 0 inf + 243454
1554042625.625 * [simplify]: Simplified to (+ (* (* (* k k) 1/8) (+ (* (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (log (* PI 2))) (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) (+ (exp (* (+ (log n) (log (* PI 2))) 1/2)) (- (* (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (* k k) (* (log n) 1/4))) (* (* 1/2 k) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (+ (log n) (log (* PI 2))))))))
1554042625.625 * [simplify]: Simplified (2 1) to (λ (k n) (/ (+ (* (* (* k k) 1/8) (+ (* (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (log (* PI 2))) (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) (+ (exp (* (+ (log n) (log (* PI 2))) 1/2)) (- (* (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (* k k) (* (log n) 1/4))) (* (* 1/2 k) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (+ (log n) (log (* PI 2)))))))) (sqrt k)))
1554042625.626 * * * * [progress]: [ 120 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (sqrt k)))>
1554042625.626 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
1554042625.626 * * [simplify]: iters left: 6 (15 enodes)
1554042625.636 * * [simplify]: iters left: 5 (65 enodes)
1554042625.659 * * [simplify]: iters left: 4 (123 enodes)
1554042625.716 * * [simplify]: iters left: 3 (361 enodes)
1554042625.912 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042625.912 * * [simplify]: Extracting #1: cost 37 inf + 0
1554042625.913 * * [simplify]: Extracting #2: cost 213 inf + 72
1554042625.914 * * [simplify]: Extracting #3: cost 350 inf + 1716
1554042625.918 * * [simplify]: Extracting #4: cost 221 inf + 30028
1554042625.941 * * [simplify]: Extracting #5: cost 33 inf + 78046
1554042625.971 * * [simplify]: Extracting #6: cost 1 inf + 88785
1554042626.004 * * [simplify]: Extracting #7: cost 0 inf + 88926
1554042626.035 * * [simplify]: Extracting #8: cost 0 inf + 88841
1554042626.051 * [simplify]: Simplified to (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k))))
1554042626.052 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) (sqrt k)))
1554042626.052 * * * * [progress]: [ 121 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (sqrt k)))>
1554042626.052 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
1554042626.052 * * [simplify]: iters left: 6 (16 enodes)
1554042626.058 * * [simplify]: iters left: 5 (67 enodes)
1554042626.079 * * [simplify]: iters left: 4 (134 enodes)
1554042626.115 * * [simplify]: iters left: 3 (407 enodes)
1554042626.356 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042626.357 * * [simplify]: Extracting #1: cost 39 inf + 0
1554042626.358 * * [simplify]: Extracting #2: cost 241 inf + 72
1554042626.360 * * [simplify]: Extracting #3: cost 449 inf + 888
1554042626.370 * * [simplify]: Extracting #4: cost 283 inf + 39678
1554042626.394 * * [simplify]: Extracting #5: cost 24 inf + 116942
1554042626.430 * * [simplify]: Extracting #6: cost 0 inf + 121984
1554042626.461 * * [simplify]: Extracting #7: cost 0 inf + 121983
1554042626.486 * [simplify]: Simplified to (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n)))))))
1554042626.486 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) (sqrt k)))
1554042626.486 * * * * [progress]: [ 122 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (sqrt k)))>
1554042626.486 * [simplify]: Simplifying (* 2 (* n PI))
1554042626.487 * * [simplify]: iters left: 4 (5 enodes)
1554042626.488 * * [simplify]: iters left: 3 (19 enodes)
1554042626.491 * * [simplify]: iters left: 2 (27 enodes)
1554042626.497 * * [simplify]: iters left: 1 (32 enodes)
1554042626.506 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042626.506 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042626.506 * * [simplify]: Extracting #2: cost 7 inf + 45
1554042626.506 * * [simplify]: Extracting #3: cost 0 inf + 421
1554042626.506 * [simplify]: Simplified to (* (* PI n) 2)
1554042626.506 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k)))
1554042626.507 * * * * [progress]: [ 123 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (sqrt k)))>
1554042626.507 * [simplify]: Simplifying (* 2 (* n PI))
1554042626.507 * * [simplify]: iters left: 4 (5 enodes)
1554042626.510 * * [simplify]: iters left: 3 (19 enodes)
1554042626.516 * * [simplify]: iters left: 2 (27 enodes)
1554042626.525 * * [simplify]: iters left: 1 (32 enodes)
1554042626.533 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042626.534 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042626.534 * * [simplify]: Extracting #2: cost 7 inf + 45
1554042626.534 * * [simplify]: Extracting #3: cost 0 inf + 421
1554042626.534 * [simplify]: Simplified to (* (* PI n) 2)
1554042626.534 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k)))
1554042626.534 * * * * [progress]: [ 124 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (sqrt k)))>
1554042626.534 * [simplify]: Simplifying (* 2 (* n PI))
1554042626.534 * * [simplify]: iters left: 4 (5 enodes)
1554042626.537 * * [simplify]: iters left: 3 (19 enodes)
1554042626.541 * * [simplify]: iters left: 2 (27 enodes)
1554042626.545 * * [simplify]: iters left: 1 (32 enodes)
1554042626.549 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042626.549 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042626.549 * * [simplify]: Extracting #2: cost 7 inf + 45
1554042626.549 * * [simplify]: Extracting #3: cost 0 inf + 421
1554042626.549 * [simplify]: Simplified to (* (* PI n) 2)
1554042626.550 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k)))
1554042626.550 * * * * [progress]: [ 125 / 127 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))))))))))))))))))))>
1554042626.550 * [simplify]: Simplifying (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))))))))))))))))))))))
1554042626.550 * [simplify]: Simplified (2) to (λ (k n) +nan.0)
1554042626.550 * * * * [progress]: [ 126 / 127 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3)))))))))>
1554042626.551 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3))))))))
1554042626.551 * [simplify]: Simplified (2) to (λ (k n) +nan.0)
1554042626.551 * * * * [progress]: [ 127 / 127 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))))))>
1554042626.551 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))))))))
1554042626.551 * [simplify]: Simplified (2) to (λ (k n) +nan.0)
1554042626.551 * * * [progress]: adding candidates to table
1554042627.930 * * [progress]: iteration 2 / 4
1554042627.930 * * * [progress]: picking best candidate
1554042627.967 * * * * [pick]: Picked  #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k))))>
1554042627.967 * * * [progress]: localizing error
1554042628.002 * * * [progress]: generating rewritten candidates
1554042628.002 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1)
1554042628.017 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2)
1554042628.022 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1)
1554042628.048 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
1554042628.096 * * * [progress]: generating series expansions
1554042628.096 * * * * [progress]: [ 1 / 4 ] generating series at (2 1)
1554042628.097 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))
1554042628.097 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0
1554042628.097 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
1554042628.097 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
1554042628.097 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
1554042628.097 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
1554042628.097 * [taylor]: Taking taylor expansion of 1/2 in k
1554042628.097 * [backup-simplify]: Simplify 1/2 into 1/2
1554042628.097 * [taylor]: Taking taylor expansion of (- 1 k) in k
1554042628.097 * [taylor]: Taking taylor expansion of 1 in k
1554042628.097 * [backup-simplify]: Simplify 1 into 1
1554042628.097 * [taylor]: Taking taylor expansion of k in k
1554042628.097 * [backup-simplify]: Simplify 0 into 0
1554042628.097 * [backup-simplify]: Simplify 1 into 1
1554042628.098 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1554042628.098 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1554042628.098 * [taylor]: Taking taylor expansion of 2 in k
1554042628.098 * [backup-simplify]: Simplify 2 into 2
1554042628.098 * [taylor]: Taking taylor expansion of (* n PI) in k
1554042628.098 * [taylor]: Taking taylor expansion of n in k
1554042628.098 * [backup-simplify]: Simplify n into n
1554042628.098 * [taylor]: Taking taylor expansion of PI in k
1554042628.098 * [backup-simplify]: Simplify PI into PI
1554042628.098 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1554042628.098 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1554042628.098 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1554042628.098 * [backup-simplify]: Simplify (- 0) into 0
1554042628.098 * [backup-simplify]: Simplify (+ 1 0) into 1
1554042628.099 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1554042628.099 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1554042628.099 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1554042628.099 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
1554042628.099 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
1554042628.099 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
1554042628.099 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
1554042628.099 * [taylor]: Taking taylor expansion of 1/2 in n
1554042628.099 * [backup-simplify]: Simplify 1/2 into 1/2
1554042628.099 * [taylor]: Taking taylor expansion of (- 1 k) in n
1554042628.099 * [taylor]: Taking taylor expansion of 1 in n
1554042628.099 * [backup-simplify]: Simplify 1 into 1
1554042628.099 * [taylor]: Taking taylor expansion of k in n
1554042628.099 * [backup-simplify]: Simplify k into k
1554042628.099 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1554042628.099 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1554042628.099 * [taylor]: Taking taylor expansion of 2 in n
1554042628.099 * [backup-simplify]: Simplify 2 into 2
1554042628.099 * [taylor]: Taking taylor expansion of (* n PI) in n
1554042628.099 * [taylor]: Taking taylor expansion of n in n
1554042628.099 * [backup-simplify]: Simplify 0 into 0
1554042628.099 * [backup-simplify]: Simplify 1 into 1
1554042628.099 * [taylor]: Taking taylor expansion of PI in n
1554042628.099 * [backup-simplify]: Simplify PI into PI
1554042628.099 * [backup-simplify]: Simplify (* 0 PI) into 0
1554042628.100 * [backup-simplify]: Simplify (* 2 0) into 0
1554042628.101 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1554042628.102 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1554042628.102 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554042628.102 * [backup-simplify]: Simplify (- k) into (- k)
1554042628.102 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
1554042628.102 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
1554042628.103 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554042628.104 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
1554042628.104 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
1554042628.104 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
1554042628.105 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
1554042628.105 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
1554042628.105 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
1554042628.105 * [taylor]: Taking taylor expansion of 1/2 in n
1554042628.105 * [backup-simplify]: Simplify 1/2 into 1/2
1554042628.105 * [taylor]: Taking taylor expansion of (- 1 k) in n
1554042628.105 * [taylor]: Taking taylor expansion of 1 in n
1554042628.105 * [backup-simplify]: Simplify 1 into 1
1554042628.105 * [taylor]: Taking taylor expansion of k in n
1554042628.105 * [backup-simplify]: Simplify k into k
1554042628.105 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1554042628.105 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1554042628.105 * [taylor]: Taking taylor expansion of 2 in n
1554042628.105 * [backup-simplify]: Simplify 2 into 2
1554042628.105 * [taylor]: Taking taylor expansion of (* n PI) in n
1554042628.105 * [taylor]: Taking taylor expansion of n in n
1554042628.105 * [backup-simplify]: Simplify 0 into 0
1554042628.105 * [backup-simplify]: Simplify 1 into 1
1554042628.105 * [taylor]: Taking taylor expansion of PI in n
1554042628.105 * [backup-simplify]: Simplify PI into PI
1554042628.105 * [backup-simplify]: Simplify (* 0 PI) into 0
1554042628.105 * [backup-simplify]: Simplify (* 2 0) into 0
1554042628.106 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1554042628.107 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1554042628.108 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554042628.108 * [backup-simplify]: Simplify (- k) into (- k)
1554042628.108 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
1554042628.108 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
1554042628.109 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554042628.109 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
1554042628.110 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
1554042628.110 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
1554042628.110 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
1554042628.110 * [taylor]: Taking taylor expansion of 1/2 in k
1554042628.110 * [backup-simplify]: Simplify 1/2 into 1/2
1554042628.110 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
1554042628.110 * [taylor]: Taking taylor expansion of (- 1 k) in k
1554042628.110 * [taylor]: Taking taylor expansion of 1 in k
1554042628.110 * [backup-simplify]: Simplify 1 into 1
1554042628.110 * [taylor]: Taking taylor expansion of k in k
1554042628.110 * [backup-simplify]: Simplify 0 into 0
1554042628.110 * [backup-simplify]: Simplify 1 into 1
1554042628.110 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1554042628.110 * [taylor]: Taking taylor expansion of (log n) in k
1554042628.110 * [taylor]: Taking taylor expansion of n in k
1554042628.110 * [backup-simplify]: Simplify n into n
1554042628.110 * [backup-simplify]: Simplify (log n) into (log n)
1554042628.110 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1554042628.110 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1554042628.110 * [taylor]: Taking taylor expansion of 2 in k
1554042628.110 * [backup-simplify]: Simplify 2 into 2
1554042628.110 * [taylor]: Taking taylor expansion of PI in k
1554042628.111 * [backup-simplify]: Simplify PI into PI
1554042628.111 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554042628.111 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554042628.112 * [backup-simplify]: Simplify (- 0) into 0
1554042628.112 * [backup-simplify]: Simplify (+ 1 0) into 1
1554042628.112 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554042628.113 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
1554042628.114 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
1554042628.114 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1554042628.115 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1554042628.116 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1554042628.116 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1554042628.117 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1554042628.117 * [backup-simplify]: Simplify (- 0) into 0
1554042628.118 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042628.118 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0
1554042628.119 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554042628.120 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1554042628.121 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
1554042628.121 * [taylor]: Taking taylor expansion of 0 in k
1554042628.121 * [backup-simplify]: Simplify 0 into 0
1554042628.121 * [backup-simplify]: Simplify 0 into 0
1554042628.121 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1554042628.122 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1554042628.123 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1554042628.123 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042628.123 * [backup-simplify]: Simplify (- 1) into -1
1554042628.123 * [backup-simplify]: Simplify (+ 0 -1) into -1
1554042628.124 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
1554042628.126 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))))
1554042628.129 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
1554042628.131 * [backup-simplify]: Simplify (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
1554042628.133 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1554042628.134 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1554042628.137 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
1554042628.138 * [backup-simplify]: Simplify (- 0) into 0
1554042628.138 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042628.139 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
1554042628.140 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554042628.142 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1554042628.144 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1554042628.145 * [taylor]: Taking taylor expansion of 0 in k
1554042628.145 * [backup-simplify]: Simplify 0 into 0
1554042628.145 * [backup-simplify]: Simplify 0 into 0
1554042628.145 * [backup-simplify]: Simplify 0 into 0
1554042628.146 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
1554042628.147 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1554042628.156 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
1554042628.156 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042628.157 * [backup-simplify]: Simplify (- 0) into 0
1554042628.157 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042628.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1554042628.159 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1554042628.162 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))))
1554042628.164 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))))
1554042628.170 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (* k 1)) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)))))
1554042628.170 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))
1554042628.170 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0
1554042628.170 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
1554042628.170 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1554042628.170 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1554042628.170 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
1554042628.170 * [taylor]: Taking taylor expansion of 1/2 in k
1554042628.171 * [backup-simplify]: Simplify 1/2 into 1/2
1554042628.171 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
1554042628.171 * [taylor]: Taking taylor expansion of 1 in k
1554042628.171 * [backup-simplify]: Simplify 1 into 1
1554042628.171 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1554042628.171 * [taylor]: Taking taylor expansion of k in k
1554042628.171 * [backup-simplify]: Simplify 0 into 0
1554042628.171 * [backup-simplify]: Simplify 1 into 1
1554042628.171 * [backup-simplify]: Simplify (/ 1 1) into 1
1554042628.171 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
1554042628.171 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
1554042628.171 * [taylor]: Taking taylor expansion of 2 in k
1554042628.171 * [backup-simplify]: Simplify 2 into 2
1554042628.171 * [taylor]: Taking taylor expansion of (/ PI n) in k
1554042628.171 * [taylor]: Taking taylor expansion of PI in k
1554042628.171 * [backup-simplify]: Simplify PI into PI
1554042628.171 * [taylor]: Taking taylor expansion of n in k
1554042628.171 * [backup-simplify]: Simplify n into n
1554042628.171 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1554042628.171 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1554042628.171 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1554042628.171 * [backup-simplify]: Simplify (- 1) into -1
1554042628.172 * [backup-simplify]: Simplify (+ 0 -1) into -1
1554042628.172 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
1554042628.172 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1554042628.172 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
1554042628.172 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
1554042628.172 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1554042628.172 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1554042628.172 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
1554042628.172 * [taylor]: Taking taylor expansion of 1/2 in n
1554042628.172 * [backup-simplify]: Simplify 1/2 into 1/2
1554042628.172 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
1554042628.172 * [taylor]: Taking taylor expansion of 1 in n
1554042628.172 * [backup-simplify]: Simplify 1 into 1
1554042628.172 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1554042628.172 * [taylor]: Taking taylor expansion of k in n
1554042628.172 * [backup-simplify]: Simplify k into k
1554042628.172 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1554042628.172 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1554042628.172 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1554042628.172 * [taylor]: Taking taylor expansion of 2 in n
1554042628.172 * [backup-simplify]: Simplify 2 into 2
1554042628.172 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554042628.173 * [taylor]: Taking taylor expansion of PI in n
1554042628.173 * [backup-simplify]: Simplify PI into PI
1554042628.173 * [taylor]: Taking taylor expansion of n in n
1554042628.173 * [backup-simplify]: Simplify 0 into 0
1554042628.173 * [backup-simplify]: Simplify 1 into 1
1554042628.173 * [backup-simplify]: Simplify (/ PI 1) into PI
1554042628.173 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554042628.174 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554042628.174 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
1554042628.174 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
1554042628.174 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
1554042628.175 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1554042628.175 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
1554042628.176 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
1554042628.176 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
1554042628.176 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1554042628.176 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1554042628.176 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
1554042628.176 * [taylor]: Taking taylor expansion of 1/2 in n
1554042628.176 * [backup-simplify]: Simplify 1/2 into 1/2
1554042628.176 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
1554042628.176 * [taylor]: Taking taylor expansion of 1 in n
1554042628.176 * [backup-simplify]: Simplify 1 into 1
1554042628.176 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1554042628.176 * [taylor]: Taking taylor expansion of k in n
1554042628.176 * [backup-simplify]: Simplify k into k
1554042628.176 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1554042628.176 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1554042628.176 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1554042628.176 * [taylor]: Taking taylor expansion of 2 in n
1554042628.176 * [backup-simplify]: Simplify 2 into 2
1554042628.176 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554042628.176 * [taylor]: Taking taylor expansion of PI in n
1554042628.176 * [backup-simplify]: Simplify PI into PI
1554042628.176 * [taylor]: Taking taylor expansion of n in n
1554042628.176 * [backup-simplify]: Simplify 0 into 0
1554042628.177 * [backup-simplify]: Simplify 1 into 1
1554042628.177 * [backup-simplify]: Simplify (/ PI 1) into PI
1554042628.177 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554042628.178 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554042628.178 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
1554042628.178 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
1554042628.178 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
1554042628.179 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1554042628.179 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
1554042628.180 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
1554042628.180 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
1554042628.180 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
1554042628.180 * [taylor]: Taking taylor expansion of 1/2 in k
1554042628.180 * [backup-simplify]: Simplify 1/2 into 1/2
1554042628.180 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
1554042628.180 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
1554042628.180 * [taylor]: Taking taylor expansion of 1 in k
1554042628.180 * [backup-simplify]: Simplify 1 into 1
1554042628.180 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1554042628.180 * [taylor]: Taking taylor expansion of k in k
1554042628.180 * [backup-simplify]: Simplify 0 into 0
1554042628.180 * [backup-simplify]: Simplify 1 into 1
1554042628.181 * [backup-simplify]: Simplify (/ 1 1) into 1
1554042628.181 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1554042628.181 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1554042628.181 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1554042628.181 * [taylor]: Taking taylor expansion of 2 in k
1554042628.181 * [backup-simplify]: Simplify 2 into 2
1554042628.181 * [taylor]: Taking taylor expansion of PI in k
1554042628.181 * [backup-simplify]: Simplify PI into PI
1554042628.181 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554042628.182 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554042628.182 * [taylor]: Taking taylor expansion of (log n) in k
1554042628.182 * [taylor]: Taking taylor expansion of n in k
1554042628.182 * [backup-simplify]: Simplify n into n
1554042628.182 * [backup-simplify]: Simplify (log n) into (log n)
1554042628.182 * [backup-simplify]: Simplify (- 1) into -1
1554042628.182 * [backup-simplify]: Simplify (+ 0 -1) into -1
1554042628.182 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1554042628.183 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1554042628.183 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
1554042628.184 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1554042628.185 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
1554042628.186 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
1554042628.187 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1554042628.188 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1554042628.189 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1554042628.189 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1554042628.190 * [backup-simplify]: Simplify (- 0) into 0
1554042628.190 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042628.191 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0
1554042628.192 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1554042628.193 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1554042628.195 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
1554042628.195 * [taylor]: Taking taylor expansion of 0 in k
1554042628.195 * [backup-simplify]: Simplify 0 into 0
1554042628.195 * [backup-simplify]: Simplify 0 into 0
1554042628.195 * [backup-simplify]: Simplify 0 into 0
1554042628.196 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554042628.197 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1554042628.200 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
1554042628.201 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1554042628.201 * [backup-simplify]: Simplify (- 0) into 0
1554042628.201 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042628.202 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
1554042628.203 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1554042628.203 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
1554042628.205 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1554042628.205 * [taylor]: Taking taylor expansion of 0 in k
1554042628.205 * [backup-simplify]: Simplify 0 into 0
1554042628.205 * [backup-simplify]: Simplify 0 into 0
1554042628.205 * [backup-simplify]: Simplify 0 into 0
1554042628.205 * [backup-simplify]: Simplify 0 into 0
1554042628.206 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554042628.206 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1554042628.209 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
1554042628.209 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1554042628.210 * [backup-simplify]: Simplify (- 0) into 0
1554042628.210 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042628.211 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
1554042628.211 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1554042628.213 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
1554042628.214 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1554042628.214 * [taylor]: Taking taylor expansion of 0 in k
1554042628.214 * [backup-simplify]: Simplify 0 into 0
1554042628.214 * [backup-simplify]: Simplify 0 into 0
1554042628.215 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
1554042628.215 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))
1554042628.215 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0
1554042628.215 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
1554042628.215 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
1554042628.215 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
1554042628.215 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
1554042628.215 * [taylor]: Taking taylor expansion of 1/2 in k
1554042628.215 * [backup-simplify]: Simplify 1/2 into 1/2
1554042628.215 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
1554042628.215 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1554042628.215 * [taylor]: Taking taylor expansion of k in k
1554042628.216 * [backup-simplify]: Simplify 0 into 0
1554042628.216 * [backup-simplify]: Simplify 1 into 1
1554042628.216 * [backup-simplify]: Simplify (/ 1 1) into 1
1554042628.216 * [taylor]: Taking taylor expansion of 1 in k
1554042628.216 * [backup-simplify]: Simplify 1 into 1
1554042628.216 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
1554042628.216 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
1554042628.216 * [taylor]: Taking taylor expansion of -2 in k
1554042628.216 * [backup-simplify]: Simplify -2 into -2
1554042628.216 * [taylor]: Taking taylor expansion of (/ PI n) in k
1554042628.216 * [taylor]: Taking taylor expansion of PI in k
1554042628.216 * [backup-simplify]: Simplify PI into PI
1554042628.216 * [taylor]: Taking taylor expansion of n in k
1554042628.216 * [backup-simplify]: Simplify n into n
1554042628.216 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1554042628.216 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1554042628.216 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1554042628.216 * [backup-simplify]: Simplify (+ 1 0) into 1
1554042628.217 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1554042628.217 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1554042628.217 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
1554042628.217 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
1554042628.217 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
1554042628.217 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
1554042628.217 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
1554042628.217 * [taylor]: Taking taylor expansion of 1/2 in n
1554042628.217 * [backup-simplify]: Simplify 1/2 into 1/2
1554042628.217 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
1554042628.217 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1554042628.217 * [taylor]: Taking taylor expansion of k in n
1554042628.217 * [backup-simplify]: Simplify k into k
1554042628.217 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1554042628.217 * [taylor]: Taking taylor expansion of 1 in n
1554042628.217 * [backup-simplify]: Simplify 1 into 1
1554042628.217 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1554042628.217 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1554042628.217 * [taylor]: Taking taylor expansion of -2 in n
1554042628.217 * [backup-simplify]: Simplify -2 into -2
1554042628.217 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554042628.217 * [taylor]: Taking taylor expansion of PI in n
1554042628.217 * [backup-simplify]: Simplify PI into PI
1554042628.217 * [taylor]: Taking taylor expansion of n in n
1554042628.217 * [backup-simplify]: Simplify 0 into 0
1554042628.217 * [backup-simplify]: Simplify 1 into 1
1554042628.218 * [backup-simplify]: Simplify (/ PI 1) into PI
1554042628.218 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1554042628.218 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1554042628.219 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
1554042628.219 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
1554042628.219 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1554042628.220 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
1554042628.221 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
1554042628.221 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
1554042628.221 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
1554042628.221 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
1554042628.221 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
1554042628.221 * [taylor]: Taking taylor expansion of 1/2 in n
1554042628.221 * [backup-simplify]: Simplify 1/2 into 1/2
1554042628.221 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
1554042628.221 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1554042628.221 * [taylor]: Taking taylor expansion of k in n
1554042628.221 * [backup-simplify]: Simplify k into k
1554042628.221 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1554042628.221 * [taylor]: Taking taylor expansion of 1 in n
1554042628.221 * [backup-simplify]: Simplify 1 into 1
1554042628.221 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1554042628.221 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1554042628.221 * [taylor]: Taking taylor expansion of -2 in n
1554042628.221 * [backup-simplify]: Simplify -2 into -2
1554042628.221 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554042628.221 * [taylor]: Taking taylor expansion of PI in n
1554042628.221 * [backup-simplify]: Simplify PI into PI
1554042628.221 * [taylor]: Taking taylor expansion of n in n
1554042628.221 * [backup-simplify]: Simplify 0 into 0
1554042628.222 * [backup-simplify]: Simplify 1 into 1
1554042628.222 * [backup-simplify]: Simplify (/ PI 1) into PI
1554042628.222 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1554042628.223 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1554042628.223 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
1554042628.223 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
1554042628.224 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1554042628.224 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
1554042628.225 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
1554042628.225 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
1554042628.225 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
1554042628.225 * [taylor]: Taking taylor expansion of 1/2 in k
1554042628.225 * [backup-simplify]: Simplify 1/2 into 1/2
1554042628.225 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
1554042628.225 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
1554042628.225 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1554042628.225 * [taylor]: Taking taylor expansion of k in k
1554042628.225 * [backup-simplify]: Simplify 0 into 0
1554042628.225 * [backup-simplify]: Simplify 1 into 1
1554042628.226 * [backup-simplify]: Simplify (/ 1 1) into 1
1554042628.226 * [taylor]: Taking taylor expansion of 1 in k
1554042628.226 * [backup-simplify]: Simplify 1 into 1
1554042628.226 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
1554042628.226 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
1554042628.226 * [taylor]: Taking taylor expansion of (* -2 PI) in k
1554042628.226 * [taylor]: Taking taylor expansion of -2 in k
1554042628.226 * [backup-simplify]: Simplify -2 into -2
1554042628.226 * [taylor]: Taking taylor expansion of PI in k
1554042628.226 * [backup-simplify]: Simplify PI into PI
1554042628.226 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1554042628.227 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1554042628.227 * [taylor]: Taking taylor expansion of (log n) in k
1554042628.227 * [taylor]: Taking taylor expansion of n in k
1554042628.227 * [backup-simplify]: Simplify n into n
1554042628.227 * [backup-simplify]: Simplify (log n) into (log n)
1554042628.227 * [backup-simplify]: Simplify (+ 1 0) into 1
1554042628.227 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1554042628.228 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
1554042628.229 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
1554042628.229 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
1554042628.230 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
1554042628.231 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
1554042628.231 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1554042628.232 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1554042628.233 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1554042628.233 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1554042628.233 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042628.234 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0
1554042628.235 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1554042628.236 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1554042628.238 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
1554042628.238 * [taylor]: Taking taylor expansion of 0 in k
1554042628.238 * [backup-simplify]: Simplify 0 into 0
1554042628.238 * [backup-simplify]: Simplify 0 into 0
1554042628.238 * [backup-simplify]: Simplify 0 into 0
1554042628.239 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554042628.240 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1554042628.242 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0
1554042628.242 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1554042628.243 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042628.243 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
1554042628.244 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1554042628.245 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
1554042628.247 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1554042628.247 * [taylor]: Taking taylor expansion of 0 in k
1554042628.247 * [backup-simplify]: Simplify 0 into 0
1554042628.247 * [backup-simplify]: Simplify 0 into 0
1554042628.247 * [backup-simplify]: Simplify 0 into 0
1554042628.247 * [backup-simplify]: Simplify 0 into 0
1554042628.248 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554042628.249 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1554042628.255 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 PI) 1)))) 6) into 0
1554042628.256 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1554042628.256 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042628.257 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0
1554042628.258 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1554042628.259 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
1554042628.260 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1554042628.260 * [taylor]: Taking taylor expansion of 0 in k
1554042628.260 * [backup-simplify]: Simplify 0 into 0
1554042628.260 * [backup-simplify]: Simplify 0 into 0
1554042628.261 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
1554042628.261 * * * * [progress]: [ 2 / 4 ] generating series at (2 2)
1554042628.261 * [backup-simplify]: Simplify (/ 1 (sqrt k)) into (sqrt (/ 1 k))
1554042628.261 * [approximate]: Taking taylor expansion of (sqrt (/ 1 k)) in (k) around 0
1554042628.261 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
1554042628.261 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1554042628.261 * [taylor]: Taking taylor expansion of k in k
1554042628.261 * [backup-simplify]: Simplify 0 into 0
1554042628.261 * [backup-simplify]: Simplify 1 into 1
1554042628.262 * [backup-simplify]: Simplify (/ 1 1) into 1
1554042628.262 * [backup-simplify]: Simplify (sqrt 0) into 0
1554042628.263 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1554042628.263 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
1554042628.263 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1554042628.263 * [taylor]: Taking taylor expansion of k in k
1554042628.263 * [backup-simplify]: Simplify 0 into 0
1554042628.263 * [backup-simplify]: Simplify 1 into 1
1554042628.263 * [backup-simplify]: Simplify (/ 1 1) into 1
1554042628.263 * [backup-simplify]: Simplify (sqrt 0) into 0
1554042628.264 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1554042628.264 * [backup-simplify]: Simplify 0 into 0
1554042628.264 * [backup-simplify]: Simplify +nan.0 into +nan.0
1554042628.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1554042628.266 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1554042628.266 * [backup-simplify]: Simplify +nan.0 into +nan.0
1554042628.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554042628.269 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1554042628.270 * [backup-simplify]: Simplify +nan.0 into +nan.0
1554042628.270 * [backup-simplify]: Simplify (+ (* +nan.0 (pow k 2)) (+ (* +nan.0 k) +nan.0)) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k))))))
1554042628.270 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 k))) into (sqrt k)
1554042628.270 * [approximate]: Taking taylor expansion of (sqrt k) in (k) around 0
1554042628.270 * [taylor]: Taking taylor expansion of (sqrt k) in k
1554042628.270 * [taylor]: Taking taylor expansion of k in k
1554042628.270 * [backup-simplify]: Simplify 0 into 0
1554042628.270 * [backup-simplify]: Simplify 1 into 1
1554042628.271 * [backup-simplify]: Simplify (sqrt 0) into 0
1554042628.272 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1554042628.272 * [taylor]: Taking taylor expansion of (sqrt k) in k
1554042628.272 * [taylor]: Taking taylor expansion of k in k
1554042628.272 * [backup-simplify]: Simplify 0 into 0
1554042628.272 * [backup-simplify]: Simplify 1 into 1
1554042628.273 * [backup-simplify]: Simplify (sqrt 0) into 0
1554042628.274 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1554042628.274 * [backup-simplify]: Simplify 0 into 0
1554042628.274 * [backup-simplify]: Simplify +nan.0 into +nan.0
1554042628.277 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1554042628.277 * [backup-simplify]: Simplify +nan.0 into +nan.0
1554042628.281 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1554042628.281 * [backup-simplify]: Simplify +nan.0 into +nan.0
1554042628.281 * [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))))))))
1554042628.281 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 (- k)))) into (/ 1 (sqrt (/ -1 k)))
1554042628.281 * [approximate]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in (k) around 0
1554042628.281 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k
1554042628.281 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
1554042628.281 * [taylor]: Taking taylor expansion of (/ -1 k) in k
1554042628.281 * [taylor]: Taking taylor expansion of -1 in k
1554042628.281 * [backup-simplify]: Simplify -1 into -1
1554042628.281 * [taylor]: Taking taylor expansion of k in k
1554042628.281 * [backup-simplify]: Simplify 0 into 0
1554042628.281 * [backup-simplify]: Simplify 1 into 1
1554042628.282 * [backup-simplify]: Simplify (/ -1 1) into -1
1554042628.282 * [backup-simplify]: Simplify (sqrt 0) into 0
1554042628.283 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1554042628.284 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0
1554042628.284 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k
1554042628.284 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
1554042628.284 * [taylor]: Taking taylor expansion of (/ -1 k) in k
1554042628.284 * [taylor]: Taking taylor expansion of -1 in k
1554042628.284 * [backup-simplify]: Simplify -1 into -1
1554042628.284 * [taylor]: Taking taylor expansion of k in k
1554042628.284 * [backup-simplify]: Simplify 0 into 0
1554042628.284 * [backup-simplify]: Simplify 1 into 1
1554042628.284 * [backup-simplify]: Simplify (/ -1 1) into -1
1554042628.285 * [backup-simplify]: Simplify (sqrt 0) into 0
1554042628.286 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1554042628.286 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0
1554042628.287 * [backup-simplify]: Simplify +nan.0 into +nan.0
1554042628.287 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1554042628.290 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1554042628.292 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
1554042628.293 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
1554042628.294 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554042628.298 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1554042628.301 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
1554042628.302 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
1554042628.302 * [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)))))
1554042628.303 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1)
1554042628.303 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI))
1554042628.303 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
1554042628.303 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1554042628.303 * [taylor]: Taking taylor expansion of 2 in n
1554042628.303 * [backup-simplify]: Simplify 2 into 2
1554042628.303 * [taylor]: Taking taylor expansion of (* n PI) in n
1554042628.303 * [taylor]: Taking taylor expansion of n in n
1554042628.303 * [backup-simplify]: Simplify 0 into 0
1554042628.303 * [backup-simplify]: Simplify 1 into 1
1554042628.303 * [taylor]: Taking taylor expansion of PI in n
1554042628.303 * [backup-simplify]: Simplify PI into PI
1554042628.303 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1554042628.303 * [taylor]: Taking taylor expansion of 2 in n
1554042628.303 * [backup-simplify]: Simplify 2 into 2
1554042628.303 * [taylor]: Taking taylor expansion of (* n PI) in n
1554042628.303 * [taylor]: Taking taylor expansion of n in n
1554042628.304 * [backup-simplify]: Simplify 0 into 0
1554042628.304 * [backup-simplify]: Simplify 1 into 1
1554042628.304 * [taylor]: Taking taylor expansion of PI in n
1554042628.304 * [backup-simplify]: Simplify PI into PI
1554042628.304 * [backup-simplify]: Simplify (* 0 PI) into 0
1554042628.304 * [backup-simplify]: Simplify (* 2 0) into 0
1554042628.304 * [backup-simplify]: Simplify 0 into 0
1554042628.306 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1554042628.307 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1554042628.308 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554042628.309 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1554042628.310 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1554042628.310 * [backup-simplify]: Simplify 0 into 0
1554042628.311 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1554042628.312 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1554042628.312 * [backup-simplify]: Simplify 0 into 0
1554042628.313 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1554042628.314 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1554042628.314 * [backup-simplify]: Simplify 0 into 0
1554042628.316 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1554042628.317 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
1554042628.317 * [backup-simplify]: Simplify 0 into 0
1554042628.319 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1554042628.320 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
1554042628.320 * [backup-simplify]: Simplify 0 into 0
1554042628.322 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
1554042628.324 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
1554042628.324 * [backup-simplify]: Simplify 0 into 0
1554042628.325 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
1554042628.325 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n))
1554042628.325 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
1554042628.325 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1554042628.325 * [taylor]: Taking taylor expansion of 2 in n
1554042628.325 * [backup-simplify]: Simplify 2 into 2
1554042628.325 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554042628.325 * [taylor]: Taking taylor expansion of PI in n
1554042628.325 * [backup-simplify]: Simplify PI into PI
1554042628.325 * [taylor]: Taking taylor expansion of n in n
1554042628.325 * [backup-simplify]: Simplify 0 into 0
1554042628.325 * [backup-simplify]: Simplify 1 into 1
1554042628.326 * [backup-simplify]: Simplify (/ PI 1) into PI
1554042628.326 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1554042628.326 * [taylor]: Taking taylor expansion of 2 in n
1554042628.326 * [backup-simplify]: Simplify 2 into 2
1554042628.326 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554042628.326 * [taylor]: Taking taylor expansion of PI in n
1554042628.326 * [backup-simplify]: Simplify PI into PI
1554042628.326 * [taylor]: Taking taylor expansion of n in n
1554042628.326 * [backup-simplify]: Simplify 0 into 0
1554042628.326 * [backup-simplify]: Simplify 1 into 1
1554042628.326 * [backup-simplify]: Simplify (/ PI 1) into PI
1554042628.326 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554042628.327 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554042628.327 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1554042628.328 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1554042628.328 * [backup-simplify]: Simplify 0 into 0
1554042628.328 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554042628.329 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1554042628.329 * [backup-simplify]: Simplify 0 into 0
1554042628.329 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554042628.330 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1554042628.330 * [backup-simplify]: Simplify 0 into 0
1554042628.331 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554042628.331 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1554042628.331 * [backup-simplify]: Simplify 0 into 0
1554042628.332 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554042628.333 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1554042628.333 * [backup-simplify]: Simplify 0 into 0
1554042628.333 * [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
1554042628.334 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1554042628.334 * [backup-simplify]: Simplify 0 into 0
1554042628.335 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
1554042628.335 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n))
1554042628.335 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
1554042628.335 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1554042628.335 * [taylor]: Taking taylor expansion of -2 in n
1554042628.335 * [backup-simplify]: Simplify -2 into -2
1554042628.335 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554042628.335 * [taylor]: Taking taylor expansion of PI in n
1554042628.335 * [backup-simplify]: Simplify PI into PI
1554042628.335 * [taylor]: Taking taylor expansion of n in n
1554042628.335 * [backup-simplify]: Simplify 0 into 0
1554042628.335 * [backup-simplify]: Simplify 1 into 1
1554042628.335 * [backup-simplify]: Simplify (/ PI 1) into PI
1554042628.335 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1554042628.335 * [taylor]: Taking taylor expansion of -2 in n
1554042628.335 * [backup-simplify]: Simplify -2 into -2
1554042628.335 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554042628.335 * [taylor]: Taking taylor expansion of PI in n
1554042628.335 * [backup-simplify]: Simplify PI into PI
1554042628.335 * [taylor]: Taking taylor expansion of n in n
1554042628.335 * [backup-simplify]: Simplify 0 into 0
1554042628.336 * [backup-simplify]: Simplify 1 into 1
1554042628.336 * [backup-simplify]: Simplify (/ PI 1) into PI
1554042628.336 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1554042628.336 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1554042628.337 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1554042628.337 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1554042628.337 * [backup-simplify]: Simplify 0 into 0
1554042628.338 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554042628.339 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1554042628.339 * [backup-simplify]: Simplify 0 into 0
1554042628.339 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554042628.340 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1554042628.340 * [backup-simplify]: Simplify 0 into 0
1554042628.341 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554042628.341 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1554042628.341 * [backup-simplify]: Simplify 0 into 0
1554042628.342 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554042628.343 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1554042628.343 * [backup-simplify]: Simplify 0 into 0
1554042628.343 * [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
1554042628.344 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1554042628.344 * [backup-simplify]: Simplify 0 into 0
1554042628.345 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
1554042628.345 * * * * [progress]: [ 4 / 4 ] generating series at (2)
1554042628.345 * [backup-simplify]: Simplify (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k))) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k)))
1554042628.345 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (n k) around 0
1554042628.345 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k
1554042628.345 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
1554042628.345 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
1554042628.345 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
1554042628.345 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
1554042628.345 * [taylor]: Taking taylor expansion of 1/2 in k
1554042628.345 * [backup-simplify]: Simplify 1/2 into 1/2
1554042628.345 * [taylor]: Taking taylor expansion of (- 1 k) in k
1554042628.345 * [taylor]: Taking taylor expansion of 1 in k
1554042628.345 * [backup-simplify]: Simplify 1 into 1
1554042628.345 * [taylor]: Taking taylor expansion of k in k
1554042628.345 * [backup-simplify]: Simplify 0 into 0
1554042628.345 * [backup-simplify]: Simplify 1 into 1
1554042628.345 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1554042628.345 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1554042628.345 * [taylor]: Taking taylor expansion of 2 in k
1554042628.345 * [backup-simplify]: Simplify 2 into 2
1554042628.345 * [taylor]: Taking taylor expansion of (* n PI) in k
1554042628.345 * [taylor]: Taking taylor expansion of n in k
1554042628.345 * [backup-simplify]: Simplify n into n
1554042628.345 * [taylor]: Taking taylor expansion of PI in k
1554042628.345 * [backup-simplify]: Simplify PI into PI
1554042628.345 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1554042628.345 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1554042628.346 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1554042628.346 * [backup-simplify]: Simplify (- 0) into 0
1554042628.346 * [backup-simplify]: Simplify (+ 1 0) into 1
1554042628.346 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1554042628.346 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1554042628.346 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1554042628.347 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
1554042628.347 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1554042628.347 * [taylor]: Taking taylor expansion of k in k
1554042628.347 * [backup-simplify]: Simplify 0 into 0
1554042628.347 * [backup-simplify]: Simplify 1 into 1
1554042628.347 * [backup-simplify]: Simplify (/ 1 1) into 1
1554042628.347 * [backup-simplify]: Simplify (sqrt 0) into 0
1554042628.348 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1554042628.348 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n
1554042628.348 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
1554042628.348 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
1554042628.348 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
1554042628.348 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
1554042628.348 * [taylor]: Taking taylor expansion of 1/2 in n
1554042628.348 * [backup-simplify]: Simplify 1/2 into 1/2
1554042628.348 * [taylor]: Taking taylor expansion of (- 1 k) in n
1554042628.348 * [taylor]: Taking taylor expansion of 1 in n
1554042628.348 * [backup-simplify]: Simplify 1 into 1
1554042628.348 * [taylor]: Taking taylor expansion of k in n
1554042628.348 * [backup-simplify]: Simplify k into k
1554042628.348 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1554042628.348 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1554042628.348 * [taylor]: Taking taylor expansion of 2 in n
1554042628.348 * [backup-simplify]: Simplify 2 into 2
1554042628.348 * [taylor]: Taking taylor expansion of (* n PI) in n
1554042628.348 * [taylor]: Taking taylor expansion of n in n
1554042628.348 * [backup-simplify]: Simplify 0 into 0
1554042628.348 * [backup-simplify]: Simplify 1 into 1
1554042628.348 * [taylor]: Taking taylor expansion of PI in n
1554042628.348 * [backup-simplify]: Simplify PI into PI
1554042628.349 * [backup-simplify]: Simplify (* 0 PI) into 0
1554042628.349 * [backup-simplify]: Simplify (* 2 0) into 0
1554042628.350 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1554042628.351 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1554042628.351 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554042628.351 * [backup-simplify]: Simplify (- k) into (- k)
1554042628.351 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
1554042628.351 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
1554042628.352 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554042628.353 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
1554042628.353 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
1554042628.353 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
1554042628.353 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1554042628.353 * [taylor]: Taking taylor expansion of k in n
1554042628.353 * [backup-simplify]: Simplify k into k
1554042628.353 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1554042628.354 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
1554042628.354 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1554042628.354 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
1554042628.354 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n
1554042628.354 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
1554042628.354 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
1554042628.354 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
1554042628.354 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
1554042628.354 * [taylor]: Taking taylor expansion of 1/2 in n
1554042628.354 * [backup-simplify]: Simplify 1/2 into 1/2
1554042628.354 * [taylor]: Taking taylor expansion of (- 1 k) in n
1554042628.354 * [taylor]: Taking taylor expansion of 1 in n
1554042628.354 * [backup-simplify]: Simplify 1 into 1
1554042628.354 * [taylor]: Taking taylor expansion of k in n
1554042628.354 * [backup-simplify]: Simplify k into k
1554042628.354 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1554042628.354 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1554042628.354 * [taylor]: Taking taylor expansion of 2 in n
1554042628.354 * [backup-simplify]: Simplify 2 into 2
1554042628.354 * [taylor]: Taking taylor expansion of (* n PI) in n
1554042628.354 * [taylor]: Taking taylor expansion of n in n
1554042628.354 * [backup-simplify]: Simplify 0 into 0
1554042628.354 * [backup-simplify]: Simplify 1 into 1
1554042628.354 * [taylor]: Taking taylor expansion of PI in n
1554042628.354 * [backup-simplify]: Simplify PI into PI
1554042628.354 * [backup-simplify]: Simplify (* 0 PI) into 0
1554042628.355 * [backup-simplify]: Simplify (* 2 0) into 0
1554042628.356 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1554042628.357 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1554042628.357 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554042628.357 * [backup-simplify]: Simplify (- k) into (- k)
1554042628.357 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
1554042628.357 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
1554042628.358 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554042628.359 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
1554042628.359 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
1554042628.359 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
1554042628.359 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1554042628.359 * [taylor]: Taking taylor expansion of k in n
1554042628.359 * [backup-simplify]: Simplify k into k
1554042628.359 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1554042628.360 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
1554042628.360 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1554042628.360 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
1554042628.360 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) into (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k)))
1554042628.360 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) in k
1554042628.360 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
1554042628.360 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
1554042628.360 * [taylor]: Taking taylor expansion of 1/2 in k
1554042628.361 * [backup-simplify]: Simplify 1/2 into 1/2
1554042628.361 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
1554042628.361 * [taylor]: Taking taylor expansion of (- 1 k) in k
1554042628.361 * [taylor]: Taking taylor expansion of 1 in k
1554042628.361 * [backup-simplify]: Simplify 1 into 1
1554042628.361 * [taylor]: Taking taylor expansion of k in k
1554042628.361 * [backup-simplify]: Simplify 0 into 0
1554042628.361 * [backup-simplify]: Simplify 1 into 1
1554042628.361 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1554042628.361 * [taylor]: Taking taylor expansion of (log n) in k
1554042628.361 * [taylor]: Taking taylor expansion of n in k
1554042628.361 * [backup-simplify]: Simplify n into n
1554042628.361 * [backup-simplify]: Simplify (log n) into (log n)
1554042628.361 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1554042628.361 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1554042628.361 * [taylor]: Taking taylor expansion of 2 in k
1554042628.361 * [backup-simplify]: Simplify 2 into 2
1554042628.361 * [taylor]: Taking taylor expansion of PI in k
1554042628.361 * [backup-simplify]: Simplify PI into PI
1554042628.365 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554042628.366 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554042628.367 * [backup-simplify]: Simplify (- 0) into 0
1554042628.367 * [backup-simplify]: Simplify (+ 1 0) into 1
1554042628.368 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554042628.368 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
1554042628.369 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
1554042628.370 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1554042628.370 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
1554042628.370 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1554042628.370 * [taylor]: Taking taylor expansion of k in k
1554042628.370 * [backup-simplify]: Simplify 0 into 0
1554042628.370 * [backup-simplify]: Simplify 1 into 1
1554042628.370 * [backup-simplify]: Simplify (/ 1 1) into 1
1554042628.371 * [backup-simplify]: Simplify (sqrt 0) into 0
1554042628.373 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1554042628.374 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0
1554042628.374 * [backup-simplify]: Simplify 0 into 0
1554042628.375 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1554042628.376 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1554042628.378 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1554042628.378 * [backup-simplify]: Simplify (- 0) into 0
1554042628.379 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042628.379 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0
1554042628.381 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554042628.382 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1554042628.384 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
1554042628.385 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (* 0 (sqrt (/ 1 k)))) into 0
1554042628.385 * [taylor]: Taking taylor expansion of 0 in k
1554042628.385 * [backup-simplify]: Simplify 0 into 0
1554042628.385 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1554042628.386 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1554042628.387 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1554042628.387 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042628.387 * [backup-simplify]: Simplify (- 1) into -1
1554042628.388 * [backup-simplify]: Simplify (+ 0 -1) into -1
1554042628.388 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
1554042628.390 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))))
1554042628.391 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
1554042628.394 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0)) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
1554042628.394 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
1554042628.394 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1554042628.395 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
1554042628.395 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1554042628.396 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1554042628.398 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
1554042628.398 * [backup-simplify]: Simplify (- 0) into 0
1554042628.398 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042628.399 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
1554042628.400 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554042628.400 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1554042628.402 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1554042628.403 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0
1554042628.403 * [taylor]: Taking taylor expansion of 0 in k
1554042628.403 * [backup-simplify]: Simplify 0 into 0
1554042628.403 * [backup-simplify]: Simplify 0 into 0
1554042628.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1554042628.405 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1554042628.406 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
1554042628.406 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1554042628.408 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
1554042628.408 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042628.409 * [backup-simplify]: Simplify (- 0) into 0
1554042628.409 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042628.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1554042628.412 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1554042628.414 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))))
1554042628.419 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) +nan.0) (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) 0))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))))))))
1554042628.422 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))))))))
1554042628.422 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1554042628.423 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0
1554042628.423 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1554042628.424 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1554042628.427 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
1554042628.427 * [backup-simplify]: Simplify (- 0) into 0
1554042628.428 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042628.428 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 k))))) into 0
1554042628.429 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554042628.430 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
1554042628.432 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1554042628.433 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0
1554042628.433 * [taylor]: Taking taylor expansion of 0 in k
1554042628.433 * [backup-simplify]: Simplify 0 into 0
1554042628.433 * [backup-simplify]: Simplify 0 into 0
1554042628.433 * [backup-simplify]: Simplify 0 into 0
1554042628.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554042628.436 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1554042628.439 * [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
1554042628.439 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1554042628.443 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
1554042628.443 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042628.443 * [backup-simplify]: Simplify (- 0) into 0
1554042628.444 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042628.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
1554042628.448 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
1554042628.453 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 3) 6)) (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (pow (log n) 2) (log (* 2 PI)))) (+ (* 1/16 (* (log n) (pow (log (* 2 PI)) 2))) (* 1/48 (pow (log (* 2 PI)) 3))))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
1554042628.476 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) +nan.0) (+ (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) +nan.0) (* (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (pow (log n) 2) (log (* 2 PI)))) (+ (* 1/16 (* (log n) (pow (log (* 2 PI)) 2))) (* 1/48 (pow (log (* 2 PI)) 3))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0)))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))))))))))))))
1554042628.488 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))))))))))))))
1554042628.506 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) (* k 1)) (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))))) into (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))))))))))))))))))))))
1554042628.507 * [backup-simplify]: Simplify (* (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) (/ 1 (sqrt (/ 1 k)))) into (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k))
1554042628.507 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (n k) around 0
1554042628.507 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k
1554042628.507 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
1554042628.507 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1554042628.507 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1554042628.507 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
1554042628.507 * [taylor]: Taking taylor expansion of 1/2 in k
1554042628.507 * [backup-simplify]: Simplify 1/2 into 1/2
1554042628.507 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
1554042628.507 * [taylor]: Taking taylor expansion of 1 in k
1554042628.507 * [backup-simplify]: Simplify 1 into 1
1554042628.508 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1554042628.508 * [taylor]: Taking taylor expansion of k in k
1554042628.508 * [backup-simplify]: Simplify 0 into 0
1554042628.508 * [backup-simplify]: Simplify 1 into 1
1554042628.508 * [backup-simplify]: Simplify (/ 1 1) into 1
1554042628.508 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
1554042628.508 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
1554042628.508 * [taylor]: Taking taylor expansion of 2 in k
1554042628.508 * [backup-simplify]: Simplify 2 into 2
1554042628.508 * [taylor]: Taking taylor expansion of (/ PI n) in k
1554042628.508 * [taylor]: Taking taylor expansion of PI in k
1554042628.508 * [backup-simplify]: Simplify PI into PI
1554042628.508 * [taylor]: Taking taylor expansion of n in k
1554042628.508 * [backup-simplify]: Simplify n into n
1554042628.508 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1554042628.508 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1554042628.508 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1554042628.509 * [backup-simplify]: Simplify (- 1) into -1
1554042628.509 * [backup-simplify]: Simplify (+ 0 -1) into -1
1554042628.510 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
1554042628.510 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1554042628.510 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
1554042628.510 * [taylor]: Taking taylor expansion of (sqrt k) in k
1554042628.510 * [taylor]: Taking taylor expansion of k in k
1554042628.510 * [backup-simplify]: Simplify 0 into 0
1554042628.510 * [backup-simplify]: Simplify 1 into 1
1554042628.511 * [backup-simplify]: Simplify (sqrt 0) into 0
1554042628.512 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1554042628.512 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n
1554042628.512 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
1554042628.512 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1554042628.512 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1554042628.512 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
1554042628.512 * [taylor]: Taking taylor expansion of 1/2 in n
1554042628.512 * [backup-simplify]: Simplify 1/2 into 1/2
1554042628.512 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
1554042628.512 * [taylor]: Taking taylor expansion of 1 in n
1554042628.512 * [backup-simplify]: Simplify 1 into 1
1554042628.512 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1554042628.512 * [taylor]: Taking taylor expansion of k in n
1554042628.512 * [backup-simplify]: Simplify k into k
1554042628.512 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1554042628.512 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1554042628.513 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1554042628.513 * [taylor]: Taking taylor expansion of 2 in n
1554042628.513 * [backup-simplify]: Simplify 2 into 2
1554042628.513 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554042628.513 * [taylor]: Taking taylor expansion of PI in n
1554042628.513 * [backup-simplify]: Simplify PI into PI
1554042628.513 * [taylor]: Taking taylor expansion of n in n
1554042628.513 * [backup-simplify]: Simplify 0 into 0
1554042628.513 * [backup-simplify]: Simplify 1 into 1
1554042628.513 * [backup-simplify]: Simplify (/ PI 1) into PI
1554042628.514 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554042628.515 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554042628.515 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
1554042628.515 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
1554042628.515 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
1554042628.517 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1554042628.518 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
1554042628.519 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
1554042628.519 * [taylor]: Taking taylor expansion of (sqrt k) in n
1554042628.519 * [taylor]: Taking taylor expansion of k in n
1554042628.519 * [backup-simplify]: Simplify k into k
1554042628.519 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
1554042628.519 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
1554042628.519 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n
1554042628.519 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
1554042628.519 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1554042628.519 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1554042628.519 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
1554042628.519 * [taylor]: Taking taylor expansion of 1/2 in n
1554042628.519 * [backup-simplify]: Simplify 1/2 into 1/2
1554042628.519 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
1554042628.519 * [taylor]: Taking taylor expansion of 1 in n
1554042628.519 * [backup-simplify]: Simplify 1 into 1
1554042628.519 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1554042628.519 * [taylor]: Taking taylor expansion of k in n
1554042628.519 * [backup-simplify]: Simplify k into k
1554042628.520 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1554042628.520 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1554042628.520 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1554042628.520 * [taylor]: Taking taylor expansion of 2 in n
1554042628.520 * [backup-simplify]: Simplify 2 into 2
1554042628.520 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554042628.520 * [taylor]: Taking taylor expansion of PI in n
1554042628.520 * [backup-simplify]: Simplify PI into PI
1554042628.520 * [taylor]: Taking taylor expansion of n in n
1554042628.520 * [backup-simplify]: Simplify 0 into 0
1554042628.520 * [backup-simplify]: Simplify 1 into 1
1554042628.520 * [backup-simplify]: Simplify (/ PI 1) into PI
1554042628.521 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554042628.522 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554042628.522 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
1554042628.522 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
1554042628.522 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
1554042628.524 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1554042628.525 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
1554042628.526 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
1554042628.526 * [taylor]: Taking taylor expansion of (sqrt k) in n
1554042628.526 * [taylor]: Taking taylor expansion of k in n
1554042628.526 * [backup-simplify]: Simplify k into k
1554042628.526 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
1554042628.526 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
1554042628.527 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) into (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k))
1554042628.528 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) in k
1554042628.528 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
1554042628.528 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
1554042628.528 * [taylor]: Taking taylor expansion of 1/2 in k
1554042628.528 * [backup-simplify]: Simplify 1/2 into 1/2
1554042628.528 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
1554042628.528 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
1554042628.528 * [taylor]: Taking taylor expansion of 1 in k
1554042628.528 * [backup-simplify]: Simplify 1 into 1
1554042628.528 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1554042628.528 * [taylor]: Taking taylor expansion of k in k
1554042628.528 * [backup-simplify]: Simplify 0 into 0
1554042628.528 * [backup-simplify]: Simplify 1 into 1
1554042628.528 * [backup-simplify]: Simplify (/ 1 1) into 1
1554042628.528 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1554042628.528 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1554042628.528 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1554042628.528 * [taylor]: Taking taylor expansion of 2 in k
1554042628.528 * [backup-simplify]: Simplify 2 into 2
1554042628.528 * [taylor]: Taking taylor expansion of PI in k
1554042628.528 * [backup-simplify]: Simplify PI into PI
1554042628.529 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554042628.530 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554042628.530 * [taylor]: Taking taylor expansion of (log n) in k
1554042628.530 * [taylor]: Taking taylor expansion of n in k
1554042628.530 * [backup-simplify]: Simplify n into n
1554042628.530 * [backup-simplify]: Simplify (log n) into (log n)
1554042628.530 * [backup-simplify]: Simplify (- 1) into -1
1554042628.531 * [backup-simplify]: Simplify (+ 0 -1) into -1
1554042628.531 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1554042628.532 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1554042628.533 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
1554042628.534 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1554042628.535 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
1554042628.535 * [taylor]: Taking taylor expansion of (sqrt k) in k
1554042628.535 * [taylor]: Taking taylor expansion of k in k
1554042628.535 * [backup-simplify]: Simplify 0 into 0
1554042628.535 * [backup-simplify]: Simplify 1 into 1
1554042628.535 * [backup-simplify]: Simplify (sqrt 0) into 0
1554042628.537 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1554042628.538 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) into 0
1554042628.538 * [backup-simplify]: Simplify 0 into 0
1554042628.539 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1554042628.539 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1554042628.541 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1554042628.541 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1554042628.542 * [backup-simplify]: Simplify (- 0) into 0
1554042628.542 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042628.542 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0
1554042628.544 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1554042628.545 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1554042628.547 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
1554042628.548 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (* 0 (sqrt k))) into 0
1554042628.548 * [taylor]: Taking taylor expansion of 0 in k
1554042628.548 * [backup-simplify]: Simplify 0 into 0
1554042628.548 * [backup-simplify]: Simplify 0 into 0
1554042628.549 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
1554042628.550 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
1554042628.551 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
1554042628.553 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554042628.554 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1554042628.557 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
1554042628.557 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1554042628.558 * [backup-simplify]: Simplify (- 0) into 0
1554042628.558 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042628.559 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
1554042628.560 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1554042628.562 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
1554042628.564 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1554042628.566 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0
1554042628.566 * [taylor]: Taking taylor expansion of 0 in k
1554042628.566 * [backup-simplify]: Simplify 0 into 0
1554042628.566 * [backup-simplify]: Simplify 0 into 0
1554042628.566 * [backup-simplify]: Simplify 0 into 0
1554042628.569 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1554042628.571 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
1554042628.572 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
1554042628.573 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
1554042628.574 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554042628.575 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1554042628.581 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
1554042628.581 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1554042628.581 * [backup-simplify]: Simplify (- 0) into 0
1554042628.582 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042628.583 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
1554042628.584 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1554042628.586 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
1554042628.589 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1554042628.591 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0
1554042628.591 * [taylor]: Taking taylor expansion of 0 in k
1554042628.591 * [backup-simplify]: Simplify 0 into 0
1554042628.591 * [backup-simplify]: Simplify 0 into 0
1554042628.591 * [backup-simplify]: Simplify 0 into 0
1554042628.591 * [backup-simplify]: Simplify 0 into 0
1554042628.595 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1554042628.597 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
1554042628.598 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
1554042628.610 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3))))))))
1554042628.611 * [backup-simplify]: Simplify (* (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) (/ 1 (sqrt (/ 1 (- k))))) into (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k)))
1554042628.611 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (n k) around 0
1554042628.611 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k
1554042628.611 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
1554042628.611 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
1554042628.611 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
1554042628.611 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
1554042628.611 * [taylor]: Taking taylor expansion of 1/2 in k
1554042628.611 * [backup-simplify]: Simplify 1/2 into 1/2
1554042628.611 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
1554042628.611 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1554042628.611 * [taylor]: Taking taylor expansion of k in k
1554042628.611 * [backup-simplify]: Simplify 0 into 0
1554042628.611 * [backup-simplify]: Simplify 1 into 1
1554042628.611 * [backup-simplify]: Simplify (/ 1 1) into 1
1554042628.611 * [taylor]: Taking taylor expansion of 1 in k
1554042628.611 * [backup-simplify]: Simplify 1 into 1
1554042628.611 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
1554042628.612 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
1554042628.612 * [taylor]: Taking taylor expansion of -2 in k
1554042628.612 * [backup-simplify]: Simplify -2 into -2
1554042628.612 * [taylor]: Taking taylor expansion of (/ PI n) in k
1554042628.612 * [taylor]: Taking taylor expansion of PI in k
1554042628.612 * [backup-simplify]: Simplify PI into PI
1554042628.612 * [taylor]: Taking taylor expansion of n in k
1554042628.612 * [backup-simplify]: Simplify n into n
1554042628.612 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1554042628.612 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1554042628.612 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1554042628.612 * [backup-simplify]: Simplify (+ 1 0) into 1
1554042628.613 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1554042628.613 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1554042628.613 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
1554042628.613 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
1554042628.613 * [taylor]: Taking taylor expansion of (/ -1 k) in k
1554042628.613 * [taylor]: Taking taylor expansion of -1 in k
1554042628.613 * [backup-simplify]: Simplify -1 into -1
1554042628.613 * [taylor]: Taking taylor expansion of k in k
1554042628.613 * [backup-simplify]: Simplify 0 into 0
1554042628.613 * [backup-simplify]: Simplify 1 into 1
1554042628.614 * [backup-simplify]: Simplify (/ -1 1) into -1
1554042628.614 * [backup-simplify]: Simplify (sqrt 0) into 0
1554042628.616 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1554042628.616 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))
1554042628.616 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n
1554042628.616 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
1554042628.616 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
1554042628.616 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
1554042628.616 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
1554042628.616 * [taylor]: Taking taylor expansion of 1/2 in n
1554042628.616 * [backup-simplify]: Simplify 1/2 into 1/2
1554042628.616 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
1554042628.616 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1554042628.616 * [taylor]: Taking taylor expansion of k in n
1554042628.616 * [backup-simplify]: Simplify k into k
1554042628.616 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1554042628.616 * [taylor]: Taking taylor expansion of 1 in n
1554042628.616 * [backup-simplify]: Simplify 1 into 1
1554042628.616 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1554042628.617 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1554042628.617 * [taylor]: Taking taylor expansion of -2 in n
1554042628.617 * [backup-simplify]: Simplify -2 into -2
1554042628.617 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554042628.617 * [taylor]: Taking taylor expansion of PI in n
1554042628.617 * [backup-simplify]: Simplify PI into PI
1554042628.617 * [taylor]: Taking taylor expansion of n in n
1554042628.617 * [backup-simplify]: Simplify 0 into 0
1554042628.617 * [backup-simplify]: Simplify 1 into 1
1554042628.617 * [backup-simplify]: Simplify (/ PI 1) into PI
1554042628.618 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1554042628.619 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1554042628.619 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
1554042628.619 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
1554042628.620 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1554042628.621 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
1554042628.623 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
1554042628.623 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
1554042628.623 * [taylor]: Taking taylor expansion of (/ -1 k) in n
1554042628.623 * [taylor]: Taking taylor expansion of -1 in n
1554042628.623 * [backup-simplify]: Simplify -1 into -1
1554042628.623 * [taylor]: Taking taylor expansion of k in n
1554042628.623 * [backup-simplify]: Simplify k into k
1554042628.623 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
1554042628.623 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1554042628.623 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1554042628.623 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1554042628.625 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k)))
1554042628.625 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n
1554042628.625 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
1554042628.625 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
1554042628.625 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
1554042628.625 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
1554042628.625 * [taylor]: Taking taylor expansion of 1/2 in n
1554042628.625 * [backup-simplify]: Simplify 1/2 into 1/2
1554042628.625 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
1554042628.625 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1554042628.625 * [taylor]: Taking taylor expansion of k in n
1554042628.625 * [backup-simplify]: Simplify k into k
1554042628.625 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1554042628.625 * [taylor]: Taking taylor expansion of 1 in n
1554042628.625 * [backup-simplify]: Simplify 1 into 1
1554042628.625 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1554042628.625 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1554042628.625 * [taylor]: Taking taylor expansion of -2 in n
1554042628.625 * [backup-simplify]: Simplify -2 into -2
1554042628.625 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554042628.625 * [taylor]: Taking taylor expansion of PI in n
1554042628.626 * [backup-simplify]: Simplify PI into PI
1554042628.626 * [taylor]: Taking taylor expansion of n in n
1554042628.626 * [backup-simplify]: Simplify 0 into 0
1554042628.626 * [backup-simplify]: Simplify 1 into 1
1554042628.626 * [backup-simplify]: Simplify (/ PI 1) into PI
1554042628.626 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1554042628.627 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1554042628.628 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
1554042628.628 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
1554042628.629 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1554042628.630 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
1554042628.631 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
1554042628.631 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
1554042628.631 * [taylor]: Taking taylor expansion of (/ -1 k) in n
1554042628.631 * [taylor]: Taking taylor expansion of -1 in n
1554042628.631 * [backup-simplify]: Simplify -1 into -1
1554042628.631 * [taylor]: Taking taylor expansion of k in n
1554042628.631 * [backup-simplify]: Simplify k into k
1554042628.631 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
1554042628.631 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1554042628.632 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1554042628.632 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1554042628.633 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k)))
1554042628.633 * [taylor]: Taking taylor expansion of (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) in k
1554042628.633 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
1554042628.633 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
1554042628.633 * [taylor]: Taking taylor expansion of 1/2 in k
1554042628.633 * [backup-simplify]: Simplify 1/2 into 1/2
1554042628.633 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
1554042628.633 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
1554042628.633 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1554042628.633 * [taylor]: Taking taylor expansion of k in k
1554042628.633 * [backup-simplify]: Simplify 0 into 0
1554042628.633 * [backup-simplify]: Simplify 1 into 1
1554042628.634 * [backup-simplify]: Simplify (/ 1 1) into 1
1554042628.634 * [taylor]: Taking taylor expansion of 1 in k
1554042628.634 * [backup-simplify]: Simplify 1 into 1
1554042628.634 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
1554042628.634 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
1554042628.634 * [taylor]: Taking taylor expansion of (* -2 PI) in k
1554042628.634 * [taylor]: Taking taylor expansion of -2 in k
1554042628.634 * [backup-simplify]: Simplify -2 into -2
1554042628.634 * [taylor]: Taking taylor expansion of PI in k
1554042628.634 * [backup-simplify]: Simplify PI into PI
1554042628.634 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1554042628.635 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1554042628.635 * [taylor]: Taking taylor expansion of (log n) in k
1554042628.635 * [taylor]: Taking taylor expansion of n in k
1554042628.635 * [backup-simplify]: Simplify n into n
1554042628.635 * [backup-simplify]: Simplify (log n) into (log n)
1554042628.636 * [backup-simplify]: Simplify (+ 1 0) into 1
1554042628.636 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1554042628.637 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
1554042628.638 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
1554042628.639 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
1554042628.640 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
1554042628.640 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
1554042628.640 * [taylor]: Taking taylor expansion of (/ -1 k) in k
1554042628.640 * [taylor]: Taking taylor expansion of -1 in k
1554042628.640 * [backup-simplify]: Simplify -1 into -1
1554042628.640 * [taylor]: Taking taylor expansion of k in k
1554042628.640 * [backup-simplify]: Simplify 0 into 0
1554042628.640 * [backup-simplify]: Simplify 1 into 1
1554042628.641 * [backup-simplify]: Simplify (/ -1 1) into -1
1554042628.641 * [backup-simplify]: Simplify (sqrt 0) into 0
1554042628.642 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1554042628.643 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
1554042628.644 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
1554042628.645 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1554042628.646 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1554042628.648 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1554042628.648 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1554042628.649 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042628.649 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0
1554042628.650 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1554042628.652 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1554042628.653 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
1554042628.655 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0
1554042628.655 * [taylor]: Taking taylor expansion of 0 in k
1554042628.655 * [backup-simplify]: Simplify 0 into 0
1554042628.655 * [backup-simplify]: Simplify 0 into 0
1554042628.656 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1554042628.659 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1554042628.661 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
1554042628.662 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
1554042628.663 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554042628.664 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1554042628.667 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0
1554042628.668 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1554042628.668 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042628.669 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
1554042628.670 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1554042628.672 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
1554042628.674 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1554042628.674 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1554042628.675 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
1554042628.676 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0
1554042628.676 * [taylor]: Taking taylor expansion of 0 in k
1554042628.676 * [backup-simplify]: Simplify 0 into 0
1554042628.676 * [backup-simplify]: Simplify 0 into 0
1554042628.676 * [backup-simplify]: Simplify 0 into 0
1554042628.677 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554042628.681 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1554042628.685 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
1554042628.686 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
1554042628.690 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))))))))
1554042628.691 * * * [progress]: simplifying candidates
1554042628.691 * * * * [progress]: [ 1 / 189 ] simplifiying candidate #<alt (λ (k n) (* (exp (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2))) (/ 1 (sqrt k))))>
1554042628.691 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2))
1554042628.691 * * [simplify]: iters left: 6 (13 enodes)
1554042628.699 * * [simplify]: iters left: 5 (54 enodes)
1554042628.717 * * [simplify]: iters left: 4 (97 enodes)
1554042628.761 * * [simplify]: iters left: 3 (242 enodes)
1554042628.855 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042628.855 * * [simplify]: Extracting #1: cost 28 inf + 0
1554042628.856 * * [simplify]: Extracting #2: cost 93 inf + 2
1554042628.856 * * [simplify]: Extracting #3: cost 139 inf + 75
1554042628.858 * * [simplify]: Extracting #4: cost 102 inf + 5195
1554042628.871 * * [simplify]: Extracting #5: cost 14 inf + 28777
1554042628.883 * * [simplify]: Extracting #6: cost 0 inf + 33789
1554042628.890 * [simplify]: Simplified to (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2)
1554042628.890 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2)) (/ 1 (sqrt k))))
1554042628.891 * * * * [progress]: [ 2 / 189 ] simplifiying candidate #<alt (λ (k n) (* (exp (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2))) (/ 1 (sqrt k))))>
1554042628.891 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2))
1554042628.891 * * [simplify]: iters left: 6 (12 enodes)
1554042628.895 * * [simplify]: iters left: 5 (52 enodes)
1554042628.904 * * [simplify]: iters left: 4 (90 enodes)
1554042628.929 * * [simplify]: iters left: 3 (201 enodes)
1554042628.987 * * [simplify]: iters left: 2 (496 enodes)
1554042629.291 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042629.292 * * [simplify]: Extracting #1: cost 22 inf + 0
1554042629.292 * * [simplify]: Extracting #2: cost 122 inf + 2
1554042629.294 * * [simplify]: Extracting #3: cost 296 inf + 186
1554042629.296 * * [simplify]: Extracting #4: cost 252 inf + 7310
1554042629.306 * * [simplify]: Extracting #5: cost 66 inf + 59079
1554042629.336 * * [simplify]: Extracting #6: cost 1 inf + 82178
1554042629.357 * * [simplify]: Extracting #7: cost 0 inf + 82436
1554042629.378 * [simplify]: Simplified to (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2)
1554042629.378 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2)) (/ 1 (sqrt k))))
1554042629.378 * * * * [progress]: [ 3 / 189 ] simplifiying candidate #<alt (λ (k n) (* (exp (* (log (* n (* 2 PI))) (/ (- 1 k) 2))) (/ 1 (sqrt k))))>
1554042629.379 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (- 1 k) 2))
1554042629.379 * * [simplify]: iters left: 6 (11 enodes)
1554042629.386 * * [simplify]: iters left: 5 (51 enodes)
1554042629.403 * * [simplify]: iters left: 4 (97 enodes)
1554042629.438 * * [simplify]: iters left: 3 (197 enodes)
1554042629.500 * * [simplify]: iters left: 2 (491 enodes)
1554042629.761 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042629.761 * * [simplify]: Extracting #1: cost 27 inf + 0
1554042629.762 * * [simplify]: Extracting #2: cost 139 inf + 2
1554042629.764 * * [simplify]: Extracting #3: cost 300 inf + 382
1554042629.769 * * [simplify]: Extracting #4: cost 242 inf + 10228
1554042629.790 * * [simplify]: Extracting #5: cost 53 inf + 57829
1554042629.807 * * [simplify]: Extracting #6: cost 2 inf + 73504
1554042629.823 * * [simplify]: Extracting #7: cost 0 inf + 74187
1554042629.842 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)
1554042629.842 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) (/ 1 (sqrt k))))
1554042629.843 * * * * [progress]: [ 4 / 189 ] simplifiying candidate #<alt (λ (k n) (* (exp (* (log (* n (* 2 PI))) (/ (- 1 k) 2))) (/ 1 (sqrt k))))>
1554042629.843 * * * * [progress]: [ 5 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (* 1 (/ (- 1 k) 2))) (/ 1 (sqrt k))))>
1554042629.843 * [simplify]: Simplifying (* n (* 2 PI))
1554042629.843 * * [simplify]: iters left: 4 (5 enodes)
1554042629.845 * * [simplify]: iters left: 3 (19 enodes)
1554042629.848 * * [simplify]: iters left: 2 (27 enodes)
1554042629.855 * * [simplify]: iters left: 1 (32 enodes)
1554042629.864 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042629.864 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042629.864 * * [simplify]: Extracting #2: cost 7 inf + 45
1554042629.864 * * [simplify]: Extracting #3: cost 0 inf + 421
1554042629.864 * [simplify]: Simplified to (* (* PI 2) n)
1554042629.865 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (/ 1 (sqrt k))))
1554042629.865 * * * * [progress]: [ 6 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (* 1 (/ (- 1 k) 2))) (/ 1 (sqrt k))))>
1554042629.865 * [simplify]: Simplifying (* n (* 2 PI))
1554042629.865 * * [simplify]: iters left: 4 (5 enodes)
1554042629.868 * * [simplify]: iters left: 3 (19 enodes)
1554042629.874 * * [simplify]: iters left: 2 (27 enodes)
1554042629.882 * * [simplify]: iters left: 1 (32 enodes)
1554042629.890 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042629.890 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042629.890 * * [simplify]: Extracting #2: cost 7 inf + 45
1554042629.891 * * [simplify]: Extracting #3: cost 0 inf + 421
1554042629.891 * [simplify]: Simplified to (* (* PI 2) n)
1554042629.891 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (/ 1 (sqrt k))))
1554042629.891 * * * * [progress]: [ 7 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (* 1 (/ (- 1 k) 2))) (/ 1 (sqrt k))))>
1554042629.891 * [simplify]: Simplifying (* n (* 2 PI))
1554042629.891 * * [simplify]: iters left: 4 (5 enodes)
1554042629.894 * * [simplify]: iters left: 3 (19 enodes)
1554042629.901 * * [simplify]: iters left: 2 (27 enodes)
1554042629.910 * * [simplify]: iters left: 1 (32 enodes)
1554042629.918 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042629.918 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042629.918 * * [simplify]: Extracting #2: cost 7 inf + 45
1554042629.919 * * [simplify]: Extracting #3: cost 0 inf + 421
1554042629.919 * [simplify]: Simplified to (* (* PI 2) n)
1554042629.919 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (/ 1 (sqrt k))))
1554042629.919 * * * * [progress]: [ 8 / 189 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ 1 2)) (pow (* n (* 2 PI)) (/ k 2))) (/ 1 (sqrt k))))>
1554042629.919 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ k 2))
1554042629.920 * * [simplify]: iters left: 5 (8 enodes)
1554042629.924 * * [simplify]: iters left: 4 (31 enodes)
1554042629.934 * * [simplify]: iters left: 3 (51 enodes)
1554042629.943 * * [simplify]: iters left: 2 (85 enodes)
1554042629.960 * * [simplify]: iters left: 1 (152 enodes)
1554042629.993 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042629.993 * * [simplify]: Extracting #1: cost 13 inf + 0
1554042629.994 * * [simplify]: Extracting #2: cost 59 inf + 1
1554042629.994 * * [simplify]: Extracting #3: cost 76 inf + 9
1554042629.995 * * [simplify]: Extracting #4: cost 41 inf + 3303
1554042629.997 * * [simplify]: Extracting #5: cost 16 inf + 10676
1554042630.000 * * [simplify]: Extracting #6: cost 0 inf + 21028
1554042630.003 * * [simplify]: Extracting #7: cost 0 inf + 20456
1554042630.005 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2))
1554042630.006 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (/ 1 (sqrt k))))
1554042630.006 * * * * [progress]: [ 9 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))) (/ 1 (sqrt k))))>
1554042630.006 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2))
1554042630.006 * * [simplify]: iters left: 5 (6 enodes)
1554042630.008 * * [simplify]: iters left: 4 (26 enodes)
1554042630.013 * * [simplify]: iters left: 3 (35 enodes)
1554042630.018 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042630.018 * * [simplify]: Extracting #1: cost 3 inf + 0
1554042630.018 * * [simplify]: Extracting #2: cost 8 inf + 0
1554042630.018 * * [simplify]: Extracting #3: cost 11 inf + 2
1554042630.018 * * [simplify]: Extracting #4: cost 8 inf + 87
1554042630.019 * * [simplify]: Extracting #5: cost 2 inf + 500
1554042630.019 * * [simplify]: Extracting #6: cost 0 inf + 746
1554042630.019 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2))
1554042630.019 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))) (/ 1 (sqrt k))))
1554042630.019 * * * * [progress]: [ 10 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (/ 1 (sqrt k))))>
1554042630.019 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2))
1554042630.019 * * [simplify]: iters left: 5 (6 enodes)
1554042630.022 * * [simplify]: iters left: 4 (26 enodes)
1554042630.026 * * [simplify]: iters left: 3 (35 enodes)
1554042630.033 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042630.033 * * [simplify]: Extracting #1: cost 3 inf + 0
1554042630.033 * * [simplify]: Extracting #2: cost 8 inf + 0
1554042630.033 * * [simplify]: Extracting #3: cost 11 inf + 2
1554042630.033 * * [simplify]: Extracting #4: cost 8 inf + 87
1554042630.034 * * [simplify]: Extracting #5: cost 2 inf + 460
1554042630.034 * * [simplify]: Extracting #6: cost 0 inf + 666
1554042630.034 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2))
1554042630.035 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (/ 1 (sqrt k))))
1554042630.035 * * * * [progress]: [ 11 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))) (/ 1 (sqrt k))))>
1554042630.035 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2))
1554042630.035 * * [simplify]: iters left: 5 (7 enodes)
1554042630.043 * * [simplify]: iters left: 4 (25 enodes)
1554042630.051 * * [simplify]: iters left: 3 (30 enodes)
1554042630.059 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042630.059 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042630.059 * * [simplify]: Extracting #2: cost 8 inf + 0
1554042630.060 * * [simplify]: Extracting #3: cost 10 inf + 82
1554042630.060 * * [simplify]: Extracting #4: cost 7 inf + 206
1554042630.060 * * [simplify]: Extracting #5: cost 2 inf + 575
1554042630.060 * * [simplify]: Extracting #6: cost 1 inf + 818
1554042630.060 * * [simplify]: Extracting #7: cost 0 inf + 1061
1554042630.061 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2))
1554042630.061 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))) (/ 1 (sqrt k))))
1554042630.061 * * * * [progress]: [ 12 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2))) (/ 1 (sqrt k))))>
1554042630.062 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2))
1554042630.062 * * [simplify]: iters left: 5 (7 enodes)
1554042630.067 * * [simplify]: iters left: 4 (25 enodes)
1554042630.076 * * [simplify]: iters left: 3 (30 enodes)
1554042630.085 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042630.085 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042630.085 * * [simplify]: Extracting #2: cost 8 inf + 0
1554042630.085 * * [simplify]: Extracting #3: cost 10 inf + 42
1554042630.086 * * [simplify]: Extracting #4: cost 7 inf + 126
1554042630.086 * * [simplify]: Extracting #5: cost 2 inf + 495
1554042630.086 * * [simplify]: Extracting #6: cost 1 inf + 698
1554042630.087 * * [simplify]: Extracting #7: cost 0 inf + 901
1554042630.087 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2))
1554042630.087 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2))) (/ 1 (sqrt k))))
1554042630.087 * * * * [progress]: [ 13 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2)) (/ 1 (sqrt k))))>
1554042630.088 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2)
1554042630.088 * * [simplify]: iters left: 5 (6 enodes)
1554042630.091 * * [simplify]: iters left: 4 (22 enodes)
1554042630.099 * * [simplify]: iters left: 3 (27 enodes)
1554042630.107 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042630.107 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042630.107 * * [simplify]: Extracting #2: cost 5 inf + 1
1554042630.107 * * [simplify]: Extracting #3: cost 9 inf + 1
1554042630.107 * * [simplify]: Extracting #4: cost 8 inf + 3
1554042630.107 * * [simplify]: Extracting #5: cost 4 inf + 169
1554042630.107 * * [simplify]: Extracting #6: cost 1 inf + 576
1554042630.108 * * [simplify]: Extracting #7: cost 0 inf + 739
1554042630.108 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2)
1554042630.108 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2)) (/ 1 (sqrt k))))
1554042630.108 * * * * [progress]: [ 14 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))) (/ 1 (sqrt k))))>
1554042630.108 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2))
1554042630.109 * * [simplify]: iters left: 5 (7 enodes)
1554042630.113 * * [simplify]: iters left: 4 (25 enodes)
1554042630.121 * * [simplify]: iters left: 3 (30 enodes)
1554042630.131 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042630.131 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042630.131 * * [simplify]: Extracting #2: cost 8 inf + 0
1554042630.132 * * [simplify]: Extracting #3: cost 10 inf + 82
1554042630.132 * * [simplify]: Extracting #4: cost 7 inf + 206
1554042630.132 * * [simplify]: Extracting #5: cost 2 inf + 495
1554042630.132 * * [simplify]: Extracting #6: cost 1 inf + 698
1554042630.133 * * [simplify]: Extracting #7: cost 0 inf + 901
1554042630.133 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2))
1554042630.133 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))) (/ 1 (sqrt k))))
1554042630.133 * * * * [progress]: [ 15 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))) (/ 1 (sqrt k))))>
1554042630.134 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2))
1554042630.134 * * [simplify]: iters left: 5 (7 enodes)
1554042630.139 * * [simplify]: iters left: 4 (25 enodes)
1554042630.147 * * [simplify]: iters left: 3 (30 enodes)
1554042630.157 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042630.157 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042630.157 * * [simplify]: Extracting #2: cost 8 inf + 0
1554042630.157 * * [simplify]: Extracting #3: cost 10 inf + 42
1554042630.157 * * [simplify]: Extracting #4: cost 7 inf + 126
1554042630.158 * * [simplify]: Extracting #5: cost 2 inf + 415
1554042630.158 * * [simplify]: Extracting #6: cost 1 inf + 578
1554042630.158 * * [simplify]: Extracting #7: cost 0 inf + 741
1554042630.159 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2))
1554042630.159 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))) (/ 1 (sqrt k))))
1554042630.159 * * * * [progress]: [ 16 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)) (/ 1 (sqrt k))))>
1554042630.159 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2)
1554042630.159 * * [simplify]: iters left: 5 (6 enodes)
1554042630.162 * * [simplify]: iters left: 4 (22 enodes)
1554042630.166 * * [simplify]: iters left: 3 (27 enodes)
1554042630.170 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042630.170 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042630.170 * * [simplify]: Extracting #2: cost 5 inf + 1
1554042630.170 * * [simplify]: Extracting #3: cost 9 inf + 1
1554042630.170 * * [simplify]: Extracting #4: cost 8 inf + 3
1554042630.170 * * [simplify]: Extracting #5: cost 4 inf + 169
1554042630.170 * * [simplify]: Extracting #6: cost 1 inf + 456
1554042630.171 * * [simplify]: Extracting #7: cost 0 inf + 579
1554042630.171 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2)
1554042630.171 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)) (/ 1 (sqrt k))))
1554042630.171 * * * * [progress]: [ 17 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (/ 1 (sqrt k))))>
1554042630.171 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2))
1554042630.171 * * [simplify]: iters left: 4 (6 enodes)
1554042630.174 * * [simplify]: iters left: 3 (25 enodes)
1554042630.178 * * [simplify]: iters left: 2 (36 enodes)
1554042630.187 * * [simplify]: iters left: 1 (40 enodes)
1554042630.197 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042630.197 * * [simplify]: Extracting #1: cost 7 inf + 0
1554042630.197 * * [simplify]: Extracting #2: cost 16 inf + 0
1554042630.198 * * [simplify]: Extracting #3: cost 13 inf + 44
1554042630.198 * * [simplify]: Extracting #4: cost 3 inf + 1103
1554042630.198 * * [simplify]: Extracting #5: cost 0 inf + 1469
1554042630.199 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2))
1554042630.199 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (/ 1 (sqrt k))))
1554042630.199 * * * * [progress]: [ 18 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (/ 1 (sqrt k))))>
1554042630.200 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2))
1554042630.200 * * [simplify]: iters left: 4 (6 enodes)
1554042630.204 * * [simplify]: iters left: 3 (25 enodes)
1554042630.214 * * [simplify]: iters left: 2 (36 enodes)
1554042630.226 * * [simplify]: iters left: 1 (40 enodes)
1554042630.240 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042630.240 * * [simplify]: Extracting #1: cost 7 inf + 0
1554042630.240 * * [simplify]: Extracting #2: cost 16 inf + 0
1554042630.240 * * [simplify]: Extracting #3: cost 13 inf + 44
1554042630.240 * * [simplify]: Extracting #4: cost 3 inf + 823
1554042630.241 * * [simplify]: Extracting #5: cost 0 inf + 1069
1554042630.241 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2))
1554042630.241 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (/ 1 (sqrt k))))
1554042630.241 * * * * [progress]: [ 19 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (/ 1 (sqrt k))))>
1554042630.242 * [simplify]: Simplifying (/ (- 1 k) 2)
1554042630.242 * * [simplify]: iters left: 4 (5 enodes)
1554042630.245 * * [simplify]: iters left: 3 (23 enodes)
1554042630.254 * * [simplify]: iters left: 2 (32 enodes)
1554042630.263 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042630.263 * * [simplify]: Extracting #1: cost 6 inf + 0
1554042630.264 * * [simplify]: Extracting #2: cost 9 inf + 2
1554042630.264 * * [simplify]: Extracting #3: cost 6 inf + 87
1554042630.264 * * [simplify]: Extracting #4: cost 0 inf + 420
1554042630.264 * [simplify]: Simplified to (/ (- 1 k) 2)
1554042630.264 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (/ 1 (sqrt k))))
1554042630.264 * * * * [progress]: [ 20 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- (sqrt 1) (sqrt k)) (cbrt 2))) (/ 1 (sqrt k))))>
1554042630.265 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2))
1554042630.265 * * [simplify]: iters left: 5 (8 enodes)
1554042630.270 * * [simplify]: iters left: 4 (31 enodes)
1554042630.280 * * [simplify]: iters left: 3 (45 enodes)
1554042630.292 * * [simplify]: iters left: 2 (51 enodes)
1554042630.307 * * [simplify]: iters left: 1 (52 enodes)
1554042630.321 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042630.321 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042630.321 * * [simplify]: Extracting #2: cost 18 inf + 0
1554042630.321 * * [simplify]: Extracting #3: cost 19 inf + 2
1554042630.322 * * [simplify]: Extracting #4: cost 9 inf + 977
1554042630.322 * * [simplify]: Extracting #5: cost 2 inf + 1790
1554042630.323 * * [simplify]: Extracting #6: cost 0 inf + 2195
1554042630.324 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2))
1554042630.324 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (/ 1 (sqrt k))))
1554042630.324 * * * * [progress]: [ 21 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- (sqrt 1) (sqrt k)) (sqrt 2))) (/ 1 (sqrt k))))>
1554042630.324 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2))
1554042630.325 * * [simplify]: iters left: 5 (8 enodes)
1554042630.330 * * [simplify]: iters left: 4 (31 enodes)
1554042630.340 * * [simplify]: iters left: 3 (45 enodes)
1554042630.356 * * [simplify]: iters left: 2 (51 enodes)
1554042630.364 * * [simplify]: iters left: 1 (52 enodes)
1554042630.371 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042630.371 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042630.371 * * [simplify]: Extracting #2: cost 18 inf + 0
1554042630.371 * * [simplify]: Extracting #3: cost 19 inf + 2
1554042630.371 * * [simplify]: Extracting #4: cost 9 inf + 697
1554042630.372 * * [simplify]: Extracting #5: cost 2 inf + 1390
1554042630.372 * * [simplify]: Extracting #6: cost 0 inf + 1715
1554042630.372 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2))
1554042630.373 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (/ 1 (sqrt k))))
1554042630.373 * * * * [progress]: [ 22 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- (sqrt 1) (sqrt k)) 2)) (/ 1 (sqrt k))))>
1554042630.373 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2)
1554042630.373 * * [simplify]: iters left: 5 (7 enodes)
1554042630.376 * * [simplify]: iters left: 4 (29 enodes)
1554042630.381 * * [simplify]: iters left: 3 (43 enodes)
1554042630.387 * * [simplify]: iters left: 2 (47 enodes)
1554042630.399 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042630.399 * * [simplify]: Extracting #1: cost 7 inf + 0
1554042630.399 * * [simplify]: Extracting #2: cost 11 inf + 2
1554042630.399 * * [simplify]: Extracting #3: cost 13 inf + 3
1554042630.399 * * [simplify]: Extracting #4: cost 11 inf + 45
1554042630.399 * * [simplify]: Extracting #5: cost 0 inf + 1066
1554042630.400 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2)
1554042630.400 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k))))
1554042630.400 * * * * [progress]: [ 23 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (/ 1 (sqrt k))))>
1554042630.400 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2))
1554042630.400 * * [simplify]: iters left: 5 (7 enodes)
1554042630.405 * * [simplify]: iters left: 4 (28 enodes)
1554042630.415 * * [simplify]: iters left: 3 (39 enodes)
1554042630.428 * * [simplify]: iters left: 2 (43 enodes)
1554042630.442 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042630.442 * * [simplify]: Extracting #1: cost 7 inf + 0
1554042630.442 * * [simplify]: Extracting #2: cost 16 inf + 0
1554042630.442 * * [simplify]: Extracting #3: cost 15 inf + 164
1554042630.442 * * [simplify]: Extracting #4: cost 13 inf + 287
1554042630.442 * * [simplify]: Extracting #5: cost 5 inf + 1180
1554042630.443 * * [simplify]: Extracting #6: cost 0 inf + 1951
1554042630.444 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2))
1554042630.444 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (/ 1 (sqrt k))))
1554042630.444 * * * * [progress]: [ 24 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (/ 1 (sqrt k))))>
1554042630.444 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2))
1554042630.444 * * [simplify]: iters left: 5 (7 enodes)
1554042630.449 * * [simplify]: iters left: 4 (28 enodes)
1554042630.460 * * [simplify]: iters left: 3 (39 enodes)
1554042630.472 * * [simplify]: iters left: 2 (43 enodes)
1554042630.489 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042630.489 * * [simplify]: Extracting #1: cost 7 inf + 0
1554042630.489 * * [simplify]: Extracting #2: cost 16 inf + 0
1554042630.490 * * [simplify]: Extracting #3: cost 15 inf + 84
1554042630.490 * * [simplify]: Extracting #4: cost 13 inf + 167
1554042630.491 * * [simplify]: Extracting #5: cost 5 inf + 900
1554042630.491 * * [simplify]: Extracting #6: cost 0 inf + 1551
1554042630.492 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2))
1554042630.492 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (/ 1 (sqrt k))))
1554042630.492 * * * * [progress]: [ 25 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k))))>
1554042630.492 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2)
1554042630.492 * * [simplify]: iters left: 5 (6 enodes)
1554042630.497 * * [simplify]: iters left: 4 (26 enodes)
1554042630.506 * * [simplify]: iters left: 3 (35 enodes)
1554042630.516 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042630.517 * * [simplify]: Extracting #1: cost 6 inf + 0
1554042630.517 * * [simplify]: Extracting #2: cost 9 inf + 2
1554042630.517 * * [simplify]: Extracting #3: cost 11 inf + 3
1554042630.517 * * [simplify]: Extracting #4: cost 10 inf + 4
1554042630.517 * * [simplify]: Extracting #5: cost 3 inf + 535
1554042630.517 * * [simplify]: Extracting #6: cost 0 inf + 822
1554042630.518 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2)
1554042630.518 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k))))
1554042630.518 * * * * [progress]: [ 26 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (/ 1 (sqrt k))))>
1554042630.518 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2))
1554042630.519 * * [simplify]: iters left: 4 (6 enodes)
1554042630.523 * * [simplify]: iters left: 3 (25 enodes)
1554042630.532 * * [simplify]: iters left: 2 (36 enodes)
1554042630.544 * * [simplify]: iters left: 1 (40 enodes)
1554042630.556 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042630.556 * * [simplify]: Extracting #1: cost 7 inf + 0
1554042630.556 * * [simplify]: Extracting #2: cost 16 inf + 0
1554042630.556 * * [simplify]: Extracting #3: cost 13 inf + 44
1554042630.557 * * [simplify]: Extracting #4: cost 3 inf + 1103
1554042630.557 * * [simplify]: Extracting #5: cost 0 inf + 1469
1554042630.558 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2))
1554042630.558 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (/ 1 (sqrt k))))
1554042630.558 * * * * [progress]: [ 27 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (/ 1 (sqrt k))))>
1554042630.558 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2))
1554042630.558 * * [simplify]: iters left: 4 (6 enodes)
1554042630.562 * * [simplify]: iters left: 3 (25 enodes)
1554042630.571 * * [simplify]: iters left: 2 (36 enodes)
1554042630.584 * * [simplify]: iters left: 1 (40 enodes)
1554042630.596 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042630.596 * * [simplify]: Extracting #1: cost 7 inf + 0
1554042630.596 * * [simplify]: Extracting #2: cost 16 inf + 0
1554042630.596 * * [simplify]: Extracting #3: cost 13 inf + 44
1554042630.597 * * [simplify]: Extracting #4: cost 3 inf + 823
1554042630.597 * * [simplify]: Extracting #5: cost 0 inf + 1069
1554042630.597 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2))
1554042630.598 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (/ 1 (sqrt k))))
1554042630.598 * * * * [progress]: [ 28 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (/ 1 (sqrt k))))>
1554042630.598 * [simplify]: Simplifying (/ (- 1 k) 2)
1554042630.598 * * [simplify]: iters left: 4 (5 enodes)
1554042630.602 * * [simplify]: iters left: 3 (23 enodes)
1554042630.610 * * [simplify]: iters left: 2 (32 enodes)
1554042630.619 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042630.619 * * [simplify]: Extracting #1: cost 6 inf + 0
1554042630.619 * * [simplify]: Extracting #2: cost 9 inf + 2
1554042630.619 * * [simplify]: Extracting #3: cost 6 inf + 87
1554042630.620 * * [simplify]: Extracting #4: cost 0 inf + 420
1554042630.620 * [simplify]: Simplified to (/ (- 1 k) 2)
1554042630.620 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (/ 1 (sqrt k))))
1554042630.620 * * * * [progress]: [ 29 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (/ 1 (sqrt k))))>
1554042630.620 * [simplify]: Simplifying (/ (- 1 k) 2)
1554042630.620 * * [simplify]: iters left: 4 (5 enodes)
1554042630.624 * * [simplify]: iters left: 3 (23 enodes)
1554042630.633 * * [simplify]: iters left: 2 (32 enodes)
1554042630.642 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042630.642 * * [simplify]: Extracting #1: cost 6 inf + 0
1554042630.642 * * [simplify]: Extracting #2: cost 9 inf + 2
1554042630.642 * * [simplify]: Extracting #3: cost 6 inf + 87
1554042630.642 * * [simplify]: Extracting #4: cost 0 inf + 420
1554042630.643 * [simplify]: Simplified to (/ (- 1 k) 2)
1554042630.643 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (/ 1 (sqrt k))))
1554042630.643 * * * * [progress]: [ 30 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (- 1 k)) (/ 1 2)) (/ 1 (sqrt k))))>
1554042630.643 * [simplify]: Simplifying (/ 1 2)
1554042630.643 * * [simplify]: iters left: 2 (3 enodes)
1554042630.646 * * [simplify]: iters left: 1 (12 enodes)
1554042630.653 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042630.653 * * [simplify]: Extracting #1: cost 0 inf + 1
1554042630.653 * [simplify]: Simplified to 1/2
1554042630.653 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (- 1 k)) 1/2) (/ 1 (sqrt k))))
1554042630.653 * * * * [progress]: [ 31 / 189 ] simplifiying candidate #<alt (λ (k n) (* (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (/ 1 (sqrt k))))>
1554042630.654 * [simplify]: Simplifying (pow n (/ (- 1 k) 2))
1554042630.654 * * [simplify]: iters left: 5 (7 enodes)
1554042630.656 * * [simplify]: iters left: 4 (32 enodes)
1554042630.662 * * [simplify]: iters left: 3 (57 enodes)
1554042630.672 * * [simplify]: iters left: 2 (88 enodes)
1554042630.696 * * [simplify]: iters left: 1 (156 enodes)
1554042630.741 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042630.742 * * [simplify]: Extracting #1: cost 13 inf + 0
1554042630.742 * * [simplify]: Extracting #2: cost 49 inf + 2
1554042630.742 * * [simplify]: Extracting #3: cost 80 inf + 6
1554042630.743 * * [simplify]: Extracting #4: cost 58 inf + 1840
1554042630.744 * * [simplify]: Extracting #5: cost 22 inf + 9206
1554042630.748 * * [simplify]: Extracting #6: cost 1 inf + 20886
1554042630.757 * * [simplify]: Extracting #7: cost 0 inf + 21301
1554042630.763 * * [simplify]: Extracting #8: cost 0 inf + 21130
1554042630.769 * [simplify]: Simplified to (pow n (/ (- 1 k) 2))
1554042630.769 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (/ 1 (sqrt k))))
1554042630.769 * * * * [progress]: [ 32 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (/ 1 (sqrt k))))>
1554042630.769 * * * * [progress]: [ 33 / 189 ] simplifiying candidate #<alt (λ (k n) (* (exp (log (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ 1 (sqrt k))))>
1554042630.770 * * * * [progress]: [ 34 / 189 ] simplifiying candidate #<alt (λ (k n) (* (log (exp (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ 1 (sqrt k))))>
1554042630.770 * * * * [progress]: [ 35 / 189 ] simplifiying candidate #<alt (λ (k n) (* (* (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ 1 (sqrt k))))>
1554042630.770 * * * * [progress]: [ 36 / 189 ] simplifiying candidate #<alt (λ (k n) (* (cbrt (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ 1 (sqrt k))))>
1554042630.770 * * * * [progress]: [ 37 / 189 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ 1 (sqrt k))))>
1554042630.770 * * * * [progress]: [ 38 / 189 ] simplifiying candidate #<alt (λ (k n) (* (* 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt k))))>
1554042630.770 * * * * [progress]: [ 39 / 189 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (/ 1 (sqrt k))))>
1554042630.770 * * * * [progress]: [ 40 / 189 ] simplifiying candidate #<alt (λ (k n) (* (posit16->real (real->posit16 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ 1 (sqrt k))))>
1554042630.770 * * * * [progress]: [ 41 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (sqrt k) -1)))>
1554042630.770 * * * * [progress]: [ 42 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k (- 1/2))))>
1554042630.771 * [simplify]: Simplifying (- 1/2)
1554042630.771 * * [simplify]: iters left: 2 (2 enodes)
1554042630.774 * * [simplify]: iters left: 1 (7 enodes)
1554042630.777 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042630.777 * * [simplify]: Extracting #1: cost 0 inf + 1
1554042630.777 * [simplify]: Simplified to -1/2
1554042630.777 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2)))
1554042630.777 * * * * [progress]: [ 43 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (sqrt k) (- 1))))>
1554042630.777 * [simplify]: Simplifying (- 1)
1554042630.778 * * [simplify]: iters left: 2 (2 enodes)
1554042630.780 * * [simplify]: iters left: 1 (9 enodes)
1554042630.783 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042630.783 * * [simplify]: Extracting #1: cost 0 inf + 1
1554042630.783 * [simplify]: Simplified to -1
1554042630.783 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (sqrt k) -1)))
1554042630.783 * * * * [progress]: [ 44 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k (- (/ 1 2)))))>
1554042630.784 * [simplify]: Simplifying (- (/ 1 2))
1554042630.784 * * [simplify]: iters left: 4 (4 enodes)
1554042630.789 * * [simplify]: iters left: 3 (19 enodes)
1554042630.795 * * [simplify]: iters left: 2 (23 enodes)
1554042630.803 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042630.803 * * [simplify]: Extracting #1: cost 0 inf + 1
1554042630.803 * [simplify]: Simplified to -1/2
1554042630.803 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2)))
1554042630.803 * * * * [progress]: [ 45 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (/ 1 (sqrt k)) 1)))>
1554042630.803 * * * * [progress]: [ 46 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (exp (- (log (sqrt k))))))>
1554042630.803 * * * * [progress]: [ 47 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (exp (- 0 (log (sqrt k))))))>
1554042630.804 * [simplify]: Simplifying (- 0 (log (sqrt k)))
1554042630.804 * * [simplify]: iters left: 4 (5 enodes)
1554042630.807 * * [simplify]: iters left: 3 (17 enodes)
1554042630.812 * * [simplify]: iters left: 2 (21 enodes)
1554042630.818 * * [simplify]: iters left: 1 (23 enodes)
1554042630.824 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042630.824 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042630.824 * * [simplify]: Extracting #2: cost 5 inf + 1
1554042630.824 * * [simplify]: Extracting #3: cost 7 inf + 1
1554042630.824 * * [simplify]: Extracting #4: cost 0 inf + 608
1554042630.824 * [simplify]: Simplified to (- (log (sqrt k)))
1554042630.824 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (exp (- (log (sqrt k))))))
1554042630.824 * * * * [progress]: [ 48 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (exp (- (log 1) (log (sqrt k))))))>
1554042630.825 * [simplify]: Simplifying (- (log 1) (log (sqrt k)))
1554042630.825 * * [simplify]: iters left: 4 (6 enodes)
1554042630.829 * * [simplify]: iters left: 3 (22 enodes)
1554042630.836 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042630.836 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042630.836 * * [simplify]: Extracting #2: cost 5 inf + 1
1554042630.836 * * [simplify]: Extracting #3: cost 7 inf + 1
1554042630.836 * * [simplify]: Extracting #4: cost 6 inf + 2
1554042630.836 * * [simplify]: Extracting #5: cost 1 inf + 457
1554042630.836 * * [simplify]: Extracting #6: cost 0 inf + 608
1554042630.836 * [simplify]: Simplified to (- (log (sqrt k)))
1554042630.837 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (exp (- (log (sqrt k))))))
1554042630.837 * * * * [progress]: [ 49 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (exp (log (/ 1 (sqrt k))))))>
1554042630.837 * * * * [progress]: [ 50 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (log (exp (/ 1 (sqrt k))))))>
1554042630.837 * * * * [progress]: [ 51 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))))))>
1554042630.837 * [simplify]: Simplifying (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k)))
1554042630.837 * * [simplify]: iters left: 6 (8 enodes)
1554042630.842 * * [simplify]: iters left: 5 (26 enodes)
1554042630.846 * * [simplify]: iters left: 4 (43 enodes)
1554042630.853 * * [simplify]: iters left: 3 (59 enodes)
1554042630.863 * * [simplify]: iters left: 2 (67 enodes)
1554042630.874 * * [simplify]: iters left: 1 (69 enodes)
1554042630.886 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042630.887 * * [simplify]: Extracting #1: cost 14 inf + 0
1554042630.887 * * [simplify]: Extracting #2: cost 18 inf + 2
1554042630.887 * * [simplify]: Extracting #3: cost 7 inf + 701
1554042630.887 * * [simplify]: Extracting #4: cost 0 inf + 1234
1554042630.887 * [simplify]: Simplified to (/ (/ 1 k) (sqrt k))
1554042630.888 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (/ (/ 1 k) (sqrt k)))))
1554042630.888 * * * * [progress]: [ 52 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (cbrt (/ 1 (sqrt k))))))>
1554042630.888 * * * * [progress]: [ 53 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))))))>
1554042630.888 * * * * [progress]: [ 54 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (sqrt k))))))>
1554042630.888 * * * * [progress]: [ 55 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (- 1) (- (sqrt k)))))>
1554042630.888 * * * * [progress]: [ 56 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1) (cbrt (sqrt k))))))>
1554042630.888 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1554042630.888 * * [simplify]: iters left: 6 (8 enodes)
1554042630.891 * * [simplify]: iters left: 5 (32 enodes)
1554042630.897 * * [simplify]: iters left: 4 (48 enodes)
1554042630.906 * * [simplify]: iters left: 3 (76 enodes)
1554042630.930 * * [simplify]: iters left: 2 (81 enodes)
1554042630.944 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042630.945 * * [simplify]: Extracting #1: cost 6 inf + 0
1554042630.945 * * [simplify]: Extracting #2: cost 9 inf + 1
1554042630.945 * * [simplify]: Extracting #3: cost 11 inf + 1
1554042630.945 * * [simplify]: Extracting #4: cost 2 inf + 1052
1554042630.946 * * [simplify]: Extracting #5: cost 0 inf + 1376
1554042630.946 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1554042630.946 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1) (cbrt (sqrt k))))))
1554042630.947 * [simplify]: Simplifying (/ (cbrt 1) (cbrt (sqrt k)))
1554042630.947 * * [simplify]: iters left: 4 (6 enodes)
1554042630.951 * * [simplify]: iters left: 3 (20 enodes)
1554042630.957 * * [simplify]: iters left: 2 (22 enodes)
1554042630.963 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042630.963 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042630.963 * * [simplify]: Extracting #2: cost 5 inf + 1
1554042630.963 * * [simplify]: Extracting #3: cost 7 inf + 1
1554042630.963 * * [simplify]: Extracting #4: cost 1 inf + 488
1554042630.964 * * [simplify]: Extracting #5: cost 0 inf + 650
1554042630.964 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k)))
1554042630.964 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k))))))
1554042630.964 * * * * [progress]: [ 57 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1) (sqrt (cbrt k))))))>
1554042630.964 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k))))
1554042630.965 * * [simplify]: iters left: 6 (8 enodes)
1554042630.970 * * [simplify]: iters left: 5 (29 enodes)
1554042630.976 * * [simplify]: iters left: 4 (31 enodes)
1554042630.980 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042630.981 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042630.981 * * [simplify]: Extracting #2: cost 6 inf + 1
1554042630.981 * * [simplify]: Extracting #3: cost 9 inf + 1
1554042630.981 * * [simplify]: Extracting #4: cost 8 inf + 2
1554042630.981 * * [simplify]: Extracting #5: cost 2 inf + 729
1554042630.981 * * [simplify]: Extracting #6: cost 0 inf + 972
1554042630.981 * [simplify]: Simplified to (/ 1 (fabs (cbrt k)))
1554042630.981 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (fabs (cbrt k))) (/ (cbrt 1) (sqrt (cbrt k))))))
1554042630.981 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (cbrt k)))
1554042630.981 * * [simplify]: iters left: 4 (6 enodes)
1554042630.983 * * [simplify]: iters left: 3 (20 enodes)
1554042630.986 * * [simplify]: iters left: 2 (22 enodes)
1554042630.990 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042630.990 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042630.990 * * [simplify]: Extracting #2: cost 5 inf + 1
1554042630.990 * * [simplify]: Extracting #3: cost 7 inf + 1
1554042630.990 * * [simplify]: Extracting #4: cost 1 inf + 568
1554042630.990 * * [simplify]: Extracting #5: cost 0 inf + 730
1554042630.990 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k)))
1554042630.990 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k))))))
1554042630.990 * * * * [progress]: [ 58 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k))))))>
1554042630.990 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k)))
1554042630.990 * * [simplify]: iters left: 5 (7 enodes)
1554042630.993 * * [simplify]: iters left: 4 (25 enodes)
1554042630.997 * * [simplify]: iters left: 3 (27 enodes)
1554042631.001 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042631.001 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042631.001 * * [simplify]: Extracting #2: cost 5 inf + 1
1554042631.001 * * [simplify]: Extracting #3: cost 7 inf + 1
1554042631.001 * * [simplify]: Extracting #4: cost 6 inf + 2
1554042631.001 * * [simplify]: Extracting #5: cost 2 inf + 368
1554042631.001 * * [simplify]: Extracting #6: cost 0 inf + 490
1554042631.001 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k)))
1554042631.002 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k))))))
1554042631.002 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt k)))
1554042631.002 * * [simplify]: iters left: 4 (6 enodes)
1554042631.006 * * [simplify]: iters left: 3 (20 enodes)
1554042631.009 * * [simplify]: iters left: 2 (22 enodes)
1554042631.012 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042631.012 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042631.012 * * [simplify]: Extracting #2: cost 5 inf + 1
1554042631.012 * * [simplify]: Extracting #3: cost 7 inf + 1
1554042631.012 * * [simplify]: Extracting #4: cost 1 inf + 368
1554042631.012 * * [simplify]: Extracting #5: cost 0 inf + 490
1554042631.013 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k)))
1554042631.013 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k))))))
1554042631.013 * * * * [progress]: [ 59 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ (cbrt 1) (sqrt k)))))>
1554042631.013 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt 1))
1554042631.013 * * [simplify]: iters left: 5 (5 enodes)
1554042631.018 * * [simplify]: iters left: 4 (19 enodes)
1554042631.021 * * [simplify]: iters left: 3 (21 enodes)
1554042631.024 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042631.024 * * [simplify]: Extracting #1: cost 0 inf + 1
1554042631.024 * [simplify]: Simplified to 1
1554042631.024 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ (cbrt 1) (sqrt k)))))
1554042631.024 * [simplify]: Simplifying (/ (cbrt 1) (sqrt k))
1554042631.024 * * [simplify]: iters left: 3 (5 enodes)
1554042631.026 * * [simplify]: iters left: 2 (17 enodes)
1554042631.029 * * [simplify]: iters left: 1 (19 enodes)
1554042631.032 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042631.032 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042631.032 * * [simplify]: Extracting #2: cost 5 inf + 1
1554042631.032 * * [simplify]: Extracting #3: cost 0 inf + 248
1554042631.032 * [simplify]: Simplified to (/ 1 (sqrt k))
1554042631.032 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k)))))
1554042631.032 * * * * [progress]: [ 60 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k))))))>
1554042631.032 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k)))
1554042631.032 * * [simplify]: iters left: 5 (7 enodes)
1554042631.035 * * [simplify]: iters left: 4 (25 enodes)
1554042631.040 * * [simplify]: iters left: 3 (27 enodes)
1554042631.043 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042631.043 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042631.043 * * [simplify]: Extracting #2: cost 5 inf + 1
1554042631.043 * * [simplify]: Extracting #3: cost 7 inf + 1
1554042631.043 * * [simplify]: Extracting #4: cost 6 inf + 2
1554042631.044 * * [simplify]: Extracting #5: cost 2 inf + 368
1554042631.044 * * [simplify]: Extracting #6: cost 0 inf + 490
1554042631.044 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k)))
1554042631.044 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k))))))
1554042631.044 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt k)))
1554042631.044 * * [simplify]: iters left: 4 (6 enodes)
1554042631.046 * * [simplify]: iters left: 3 (20 enodes)
1554042631.049 * * [simplify]: iters left: 2 (22 enodes)
1554042631.053 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042631.053 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042631.053 * * [simplify]: Extracting #2: cost 5 inf + 1
1554042631.053 * * [simplify]: Extracting #3: cost 7 inf + 1
1554042631.053 * * [simplify]: Extracting #4: cost 1 inf + 368
1554042631.053 * * [simplify]: Extracting #5: cost 0 inf + 490
1554042631.053 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k)))
1554042631.053 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k))))))
1554042631.054 * * * * [progress]: [ 61 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (sqrt k)))))>
1554042631.054 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) 1)
1554042631.054 * * [simplify]: iters left: 5 (4 enodes)
1554042631.058 * * [simplify]: iters left: 4 (14 enodes)
1554042631.060 * * [simplify]: iters left: 3 (16 enodes)
1554042631.062 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042631.062 * * [simplify]: Extracting #1: cost 0 inf + 1
1554042631.062 * [simplify]: Simplified to 1
1554042631.062 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ (cbrt 1) (sqrt k)))))
1554042631.062 * [simplify]: Simplifying (/ (cbrt 1) (sqrt k))
1554042631.062 * * [simplify]: iters left: 3 (5 enodes)
1554042631.064 * * [simplify]: iters left: 2 (17 enodes)
1554042631.067 * * [simplify]: iters left: 1 (19 enodes)
1554042631.070 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042631.070 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042631.070 * * [simplify]: Extracting #2: cost 5 inf + 1
1554042631.070 * * [simplify]: Extracting #3: cost 0 inf + 248
1554042631.070 * [simplify]: Simplified to (/ 1 (sqrt k))
1554042631.070 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k)))))
1554042631.070 * * * * [progress]: [ 62 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (cbrt (sqrt k))))))>
1554042631.071 * [simplify]: Simplifying (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1554042631.071 * * [simplify]: iters left: 6 (7 enodes)
1554042631.073 * * [simplify]: iters left: 5 (25 enodes)
1554042631.078 * * [simplify]: iters left: 4 (32 enodes)
1554042631.083 * * [simplify]: iters left: 3 (34 enodes)
1554042631.091 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042631.091 * * [simplify]: Extracting #1: cost 7 inf + 0
1554042631.091 * * [simplify]: Extracting #2: cost 11 inf + 1
1554042631.091 * * [simplify]: Extracting #3: cost 13 inf + 1
1554042631.091 * * [simplify]: Extracting #4: cost 10 inf + 84
1554042631.092 * * [simplify]: Extracting #5: cost 4 inf + 1014
1554042631.092 * * [simplify]: Extracting #6: cost 1 inf + 1498
1554042631.093 * * [simplify]: Extracting #7: cost 0 inf + 1700
1554042631.093 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k)))
1554042631.093 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (sqrt 1) (cbrt (sqrt k))))))
1554042631.093 * [simplify]: Simplifying (/ (sqrt 1) (cbrt (sqrt k)))
1554042631.094 * * [simplify]: iters left: 4 (6 enodes)
1554042631.097 * * [simplify]: iters left: 3 (20 enodes)
1554042631.106 * * [simplify]: iters left: 2 (22 enodes)
1554042631.113 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042631.113 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042631.113 * * [simplify]: Extracting #2: cost 5 inf + 1
1554042631.113 * * [simplify]: Extracting #3: cost 7 inf + 1
1554042631.113 * * [simplify]: Extracting #4: cost 1 inf + 488
1554042631.113 * * [simplify]: Extracting #5: cost 0 inf + 650
1554042631.113 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k)))
1554042631.113 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k))))))
1554042631.114 * * * * [progress]: [ 63 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1) (sqrt (cbrt k))))))>
1554042631.114 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k))))
1554042631.114 * * [simplify]: iters left: 6 (7 enodes)
1554042631.118 * * [simplify]: iters left: 5 (24 enodes)
1554042631.126 * * [simplify]: iters left: 4 (26 enodes)
1554042631.133 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042631.133 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042631.133 * * [simplify]: Extracting #2: cost 6 inf + 1
1554042631.133 * * [simplify]: Extracting #3: cost 9 inf + 1
1554042631.133 * * [simplify]: Extracting #4: cost 8 inf + 2
1554042631.133 * * [simplify]: Extracting #5: cost 2 inf + 730
1554042631.133 * * [simplify]: Extracting #6: cost 0 inf + 972
1554042631.134 * [simplify]: Simplified to (/ 1 (fabs (cbrt k)))
1554042631.134 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (fabs (cbrt k))) (/ (sqrt 1) (sqrt (cbrt k))))))
1554042631.134 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (cbrt k)))
1554042631.134 * * [simplify]: iters left: 4 (6 enodes)
1554042631.138 * * [simplify]: iters left: 3 (20 enodes)
1554042631.144 * * [simplify]: iters left: 2 (22 enodes)
1554042631.150 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042631.150 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042631.150 * * [simplify]: Extracting #2: cost 5 inf + 1
1554042631.150 * * [simplify]: Extracting #3: cost 7 inf + 1
1554042631.150 * * [simplify]: Extracting #4: cost 1 inf + 568
1554042631.151 * * [simplify]: Extracting #5: cost 0 inf + 730
1554042631.151 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k)))
1554042631.151 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k))))))
1554042631.151 * * * * [progress]: [ 64 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k))))))>
1554042631.151 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k)))
1554042631.152 * * [simplify]: iters left: 4 (6 enodes)
1554042631.155 * * [simplify]: iters left: 3 (20 enodes)
1554042631.161 * * [simplify]: iters left: 2 (22 enodes)
1554042631.167 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042631.167 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042631.167 * * [simplify]: Extracting #2: cost 5 inf + 1
1554042631.167 * * [simplify]: Extracting #3: cost 7 inf + 1
1554042631.168 * * [simplify]: Extracting #4: cost 1 inf + 368
1554042631.168 * * [simplify]: Extracting #5: cost 0 inf + 490
1554042631.168 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k)))
1554042631.168 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k))))))
1554042631.168 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k)))
1554042631.168 * * [simplify]: iters left: 4 (6 enodes)
1554042631.172 * * [simplify]: iters left: 3 (20 enodes)
1554042631.178 * * [simplify]: iters left: 2 (22 enodes)
1554042631.184 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042631.184 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042631.184 * * [simplify]: Extracting #2: cost 5 inf + 1
1554042631.184 * * [simplify]: Extracting #3: cost 7 inf + 1
1554042631.184 * * [simplify]: Extracting #4: cost 1 inf + 368
1554042631.184 * * [simplify]: Extracting #5: cost 0 inf + 490
1554042631.184 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k)))
1554042631.184 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k))))))
1554042631.185 * * * * [progress]: [ 65 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ (sqrt 1) (sqrt 1)) (/ (sqrt 1) (sqrt k)))))>
1554042631.185 * [simplify]: Simplifying (/ (sqrt 1) (sqrt 1))
1554042631.185 * * [simplify]: iters left: 3 (3 enodes)
1554042631.188 * * [simplify]: iters left: 2 (9 enodes)
1554042631.191 * * [simplify]: iters left: 1 (11 enodes)
1554042631.194 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042631.194 * * [simplify]: Extracting #1: cost 0 inf + 1
1554042631.194 * [simplify]: Simplified to 1
1554042631.194 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ (sqrt 1) (sqrt k)))))
1554042631.194 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k))
1554042631.194 * * [simplify]: iters left: 3 (5 enodes)
1554042631.198 * * [simplify]: iters left: 2 (17 enodes)
1554042631.203 * * [simplify]: iters left: 1 (19 enodes)
1554042631.208 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042631.208 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042631.209 * * [simplify]: Extracting #2: cost 5 inf + 1
1554042631.209 * * [simplify]: Extracting #3: cost 0 inf + 248
1554042631.209 * [simplify]: Simplified to (/ 1 (sqrt k))
1554042631.209 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k)))))
1554042631.209 * * * * [progress]: [ 66 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k))))))>
1554042631.209 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k)))
1554042631.209 * * [simplify]: iters left: 4 (6 enodes)
1554042631.214 * * [simplify]: iters left: 3 (20 enodes)
1554042631.220 * * [simplify]: iters left: 2 (22 enodes)
1554042631.227 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042631.227 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042631.227 * * [simplify]: Extracting #2: cost 5 inf + 1
1554042631.228 * * [simplify]: Extracting #3: cost 7 inf + 1
1554042631.228 * * [simplify]: Extracting #4: cost 1 inf + 368
1554042631.228 * * [simplify]: Extracting #5: cost 0 inf + 490
1554042631.228 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k)))
1554042631.228 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k))))))
1554042631.229 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k)))
1554042631.229 * * [simplify]: iters left: 4 (6 enodes)
1554042631.233 * * [simplify]: iters left: 3 (20 enodes)
1554042631.237 * * [simplify]: iters left: 2 (22 enodes)
1554042631.241 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042631.241 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042631.241 * * [simplify]: Extracting #2: cost 5 inf + 1
1554042631.241 * * [simplify]: Extracting #3: cost 7 inf + 1
1554042631.241 * * [simplify]: Extracting #4: cost 1 inf + 368
1554042631.242 * * [simplify]: Extracting #5: cost 0 inf + 490
1554042631.242 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k)))
1554042631.242 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k))))))
1554042631.242 * * * * [progress]: [ 67 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ (sqrt 1) 1) (/ (sqrt 1) (sqrt k)))))>
1554042631.242 * [simplify]: Simplifying (/ (sqrt 1) 1)
1554042631.242 * * [simplify]: iters left: 3 (3 enodes)
1554042631.245 * * [simplify]: iters left: 2 (9 enodes)
1554042631.246 * * [simplify]: iters left: 1 (11 enodes)
1554042631.248 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042631.248 * * [simplify]: Extracting #1: cost 0 inf + 1
1554042631.248 * [simplify]: Simplified to 1
1554042631.248 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ (sqrt 1) (sqrt k)))))
1554042631.248 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k))
1554042631.248 * * [simplify]: iters left: 3 (5 enodes)
1554042631.250 * * [simplify]: iters left: 2 (17 enodes)
1554042631.253 * * [simplify]: iters left: 1 (19 enodes)
1554042631.258 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042631.258 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042631.258 * * [simplify]: Extracting #2: cost 5 inf + 1
1554042631.258 * * [simplify]: Extracting #3: cost 0 inf + 248
1554042631.258 * [simplify]: Simplified to (/ 1 (sqrt k))
1554042631.258 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k)))))
1554042631.258 * * * * [progress]: [ 68 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k))))))>
1554042631.259 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1554042631.259 * * [simplify]: iters left: 6 (6 enodes)
1554042631.260 * * [simplify]: iters left: 5 (22 enodes)
1554042631.264 * * [simplify]: iters left: 4 (26 enodes)
1554042631.271 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042631.271 * * [simplify]: Extracting #1: cost 6 inf + 0
1554042631.271 * * [simplify]: Extracting #2: cost 9 inf + 1
1554042631.271 * * [simplify]: Extracting #3: cost 11 inf + 1
1554042631.271 * * [simplify]: Extracting #4: cost 8 inf + 84
1554042631.272 * * [simplify]: Extracting #5: cost 2 inf + 1013
1554042631.272 * * [simplify]: Extracting #6: cost 0 inf + 1376
1554042631.272 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1554042631.272 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k))))))
1554042631.273 * [simplify]: Simplifying (/ 1 (cbrt (sqrt k)))
1554042631.273 * * [simplify]: iters left: 4 (5 enodes)
1554042631.275 * * [simplify]: iters left: 3 (17 enodes)
1554042631.281 * * [simplify]: iters left: 2 (19 enodes)
1554042631.286 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042631.287 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042631.287 * * [simplify]: Extracting #2: cost 5 inf + 1
1554042631.287 * * [simplify]: Extracting #3: cost 7 inf + 1
1554042631.287 * * [simplify]: Extracting #4: cost 0 inf + 650
1554042631.287 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k)))
1554042631.287 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k))))))
1554042631.287 * * * * [progress]: [ 69 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1 (sqrt (cbrt k))))))>
1554042631.288 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt k) (cbrt k))))
1554042631.288 * * [simplify]: iters left: 6 (6 enodes)
1554042631.291 * * [simplify]: iters left: 5 (21 enodes)
1554042631.298 * * [simplify]: iters left: 4 (23 enodes)
1554042631.305 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042631.305 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042631.305 * * [simplify]: Extracting #2: cost 6 inf + 1
1554042631.305 * * [simplify]: Extracting #3: cost 9 inf + 1
1554042631.305 * * [simplify]: Extracting #4: cost 8 inf + 2
1554042631.306 * * [simplify]: Extracting #5: cost 1 inf + 810
1554042631.306 * * [simplify]: Extracting #6: cost 0 inf + 972
1554042631.306 * [simplify]: Simplified to (/ 1 (fabs (cbrt k)))
1554042631.306 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k))))))
1554042631.307 * [simplify]: Simplifying (/ 1 (sqrt (cbrt k)))
1554042631.307 * * [simplify]: iters left: 4 (5 enodes)
1554042631.309 * * [simplify]: iters left: 3 (17 enodes)
1554042631.315 * * [simplify]: iters left: 2 (19 enodes)
1554042631.321 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042631.321 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042631.321 * * [simplify]: Extracting #2: cost 5 inf + 1
1554042631.321 * * [simplify]: Extracting #3: cost 7 inf + 1
1554042631.322 * * [simplify]: Extracting #4: cost 0 inf + 730
1554042631.322 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k)))
1554042631.322 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k))))))
1554042631.322 * * * * [progress]: [ 70 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k))))))>
1554042631.322 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k)))
1554042631.322 * * [simplify]: iters left: 4 (5 enodes)
1554042631.325 * * [simplify]: iters left: 3 (17 enodes)
1554042631.331 * * [simplify]: iters left: 2 (19 enodes)
1554042631.336 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042631.336 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042631.337 * * [simplify]: Extracting #2: cost 5 inf + 1
1554042631.337 * * [simplify]: Extracting #3: cost 7 inf + 1
1554042631.337 * * [simplify]: Extracting #4: cost 0 inf + 490
1554042631.337 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k)))
1554042631.337 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k))))))
1554042631.337 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k)))
1554042631.337 * * [simplify]: iters left: 4 (5 enodes)
1554042631.340 * * [simplify]: iters left: 3 (17 enodes)
1554042631.346 * * [simplify]: iters left: 2 (19 enodes)
1554042631.352 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042631.352 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042631.352 * * [simplify]: Extracting #2: cost 5 inf + 1
1554042631.352 * * [simplify]: Extracting #3: cost 7 inf + 1
1554042631.352 * * [simplify]: Extracting #4: cost 0 inf + 490
1554042631.353 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k)))
1554042631.353 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k))))))
1554042631.353 * * * * [progress]: [ 71 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt 1)) (/ 1 (sqrt k)))))>
1554042631.353 * [simplify]: Simplifying (/ 1 (sqrt 1))
1554042631.353 * * [simplify]: iters left: 3 (3 enodes)
1554042631.359 * * [simplify]: iters left: 2 (11 enodes)
1554042631.362 * * [simplify]: iters left: 1 (13 enodes)
1554042631.365 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042631.365 * * [simplify]: Extracting #1: cost 0 inf + 1
1554042631.365 * [simplify]: Simplified to 1
1554042631.365 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k)))))
1554042631.365 * [simplify]: Simplifying (/ 1 (sqrt k))
1554042631.366 * * [simplify]: iters left: 3 (4 enodes)
1554042631.368 * * [simplify]: iters left: 2 (14 enodes)
1554042631.372 * * [simplify]: iters left: 1 (16 enodes)
1554042631.377 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042631.377 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042631.377 * * [simplify]: Extracting #2: cost 5 inf + 1
1554042631.377 * * [simplify]: Extracting #3: cost 3 inf + 43
1554042631.377 * * [simplify]: Extracting #4: cost 1 inf + 166
1554042631.377 * * [simplify]: Extracting #5: cost 0 inf + 248
1554042631.378 * [simplify]: Simplified to (/ 1 (sqrt k))
1554042631.378 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k)))))
1554042631.378 * * * * [progress]: [ 72 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k))))))>
1554042631.378 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k)))
1554042631.378 * * [simplify]: iters left: 4 (5 enodes)
1554042631.381 * * [simplify]: iters left: 3 (17 enodes)
1554042631.386 * * [simplify]: iters left: 2 (19 enodes)
1554042631.392 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042631.392 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042631.392 * * [simplify]: Extracting #2: cost 5 inf + 1
1554042631.393 * * [simplify]: Extracting #3: cost 7 inf + 1
1554042631.393 * * [simplify]: Extracting #4: cost 0 inf + 490
1554042631.393 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k)))
1554042631.393 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k))))))
1554042631.393 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k)))
1554042631.393 * * [simplify]: iters left: 4 (5 enodes)
1554042631.396 * * [simplify]: iters left: 3 (17 enodes)
1554042631.402 * * [simplify]: iters left: 2 (19 enodes)
1554042631.408 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042631.408 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042631.408 * * [simplify]: Extracting #2: cost 5 inf + 1
1554042631.409 * * [simplify]: Extracting #3: cost 7 inf + 1
1554042631.409 * * [simplify]: Extracting #4: cost 0 inf + 490
1554042631.409 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k)))
1554042631.409 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k))))))
1554042631.409 * * * * [progress]: [ 73 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 1) (/ 1 (sqrt k)))))>
1554042631.409 * [simplify]: Simplifying (/ 1 1)
1554042631.409 * * [simplify]: iters left: 2 (2 enodes)
1554042631.410 * * [simplify]: iters left: 1 (6 enodes)
1554042631.411 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042631.411 * * [simplify]: Extracting #1: cost 0 inf + 1
1554042631.411 * [simplify]: Simplified to 1
1554042631.411 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k)))))
1554042631.412 * [simplify]: Simplifying (/ 1 (sqrt k))
1554042631.412 * * [simplify]: iters left: 3 (4 enodes)
1554042631.415 * * [simplify]: iters left: 2 (14 enodes)
1554042631.417 * * [simplify]: iters left: 1 (16 enodes)
1554042631.420 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042631.420 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042631.420 * * [simplify]: Extracting #2: cost 5 inf + 1
1554042631.420 * * [simplify]: Extracting #3: cost 3 inf + 43
1554042631.420 * * [simplify]: Extracting #4: cost 1 inf + 166
1554042631.420 * * [simplify]: Extracting #5: cost 0 inf + 248
1554042631.420 * [simplify]: Simplified to (/ 1 (sqrt k))
1554042631.420 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k)))))
1554042631.421 * * * * [progress]: [ 74 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k)))))>
1554042631.421 * * * * [progress]: [ 75 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k)))))>
1554042631.421 * * * * [progress]: [ 76 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (/ (sqrt k) 1))))>
1554042631.421 * * * * [progress]: [ 77 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k)))))>
1554042631.421 * [simplify]: Simplifying (cbrt (sqrt k))
1554042631.421 * * [simplify]: iters left: 2 (3 enodes)
1554042631.422 * * [simplify]: iters left: 1 (9 enodes)
1554042631.423 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042631.423 * * [simplify]: Extracting #1: cost 3 inf + 0
1554042631.423 * * [simplify]: Extracting #2: cost 5 inf + 0
1554042631.423 * * [simplify]: Extracting #3: cost 4 inf + 1
1554042631.423 * * [simplify]: Extracting #4: cost 0 inf + 325
1554042631.423 * [simplify]: Simplified to (cbrt (sqrt k))
1554042631.423 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k)))))
1554042631.423 * * * * [progress]: [ 78 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k)))))>
1554042631.423 * [simplify]: Simplifying (sqrt (cbrt k))
1554042631.423 * * [simplify]: iters left: 2 (3 enodes)
1554042631.424 * * [simplify]: iters left: 1 (9 enodes)
1554042631.425 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042631.425 * * [simplify]: Extracting #1: cost 3 inf + 0
1554042631.425 * * [simplify]: Extracting #2: cost 5 inf + 0
1554042631.425 * * [simplify]: Extracting #3: cost 4 inf + 1
1554042631.425 * * [simplify]: Extracting #4: cost 0 inf + 405
1554042631.425 * [simplify]: Simplified to (sqrt (cbrt k))
1554042631.425 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k)))))
1554042631.425 * * * * [progress]: [ 79 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k)))))>
1554042631.426 * [simplify]: Simplifying (sqrt (sqrt k))
1554042631.426 * * [simplify]: iters left: 2 (3 enodes)
1554042631.426 * * [simplify]: iters left: 1 (9 enodes)
1554042631.428 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042631.428 * * [simplify]: Extracting #1: cost 3 inf + 0
1554042631.428 * * [simplify]: Extracting #2: cost 5 inf + 0
1554042631.428 * * [simplify]: Extracting #3: cost 4 inf + 1
1554042631.428 * * [simplify]: Extracting #4: cost 0 inf + 245
1554042631.428 * [simplify]: Simplified to (sqrt (sqrt k))
1554042631.428 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k)))))
1554042631.428 * * * * [progress]: [ 80 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (/ 1 (sqrt 1)) (sqrt k))))>
1554042631.428 * [simplify]: Simplifying (sqrt k)
1554042631.428 * * [simplify]: iters left: 1 (2 enodes)
1554042631.429 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042631.429 * * [simplify]: Extracting #1: cost 3 inf + 0
1554042631.429 * * [simplify]: Extracting #2: cost 2 inf + 1
1554042631.429 * * [simplify]: Extracting #3: cost 0 inf + 83
1554042631.429 * [simplify]: Simplified to (sqrt k)
1554042631.429 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (/ 1 (sqrt 1)) (sqrt k))))
1554042631.429 * * * * [progress]: [ 81 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k)))))>
1554042631.429 * [simplify]: Simplifying (sqrt (sqrt k))
1554042631.429 * * [simplify]: iters left: 2 (3 enodes)
1554042631.430 * * [simplify]: iters left: 1 (9 enodes)
1554042631.431 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042631.431 * * [simplify]: Extracting #1: cost 3 inf + 0
1554042631.431 * * [simplify]: Extracting #2: cost 5 inf + 0
1554042631.431 * * [simplify]: Extracting #3: cost 4 inf + 1
1554042631.431 * * [simplify]: Extracting #4: cost 0 inf + 245
1554042631.431 * [simplify]: Simplified to (sqrt (sqrt k))
1554042631.431 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k)))))
1554042631.431 * * * * [progress]: [ 82 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (/ 1 1) (sqrt k))))>
1554042631.432 * [simplify]: Simplifying (sqrt k)
1554042631.432 * * [simplify]: iters left: 1 (2 enodes)
1554042631.432 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042631.432 * * [simplify]: Extracting #1: cost 3 inf + 0
1554042631.432 * * [simplify]: Extracting #2: cost 2 inf + 1
1554042631.432 * * [simplify]: Extracting #3: cost 0 inf + 83
1554042631.432 * [simplify]: Simplified to (sqrt k)
1554042631.432 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (/ 1 1) (sqrt k))))
1554042631.432 * * * * [progress]: [ 83 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt k) (cbrt 1)))))>
1554042631.433 * [simplify]: Simplifying (* (cbrt 1) (cbrt 1))
1554042631.433 * * [simplify]: iters left: 3 (3 enodes)
1554042631.437 * * [simplify]: iters left: 2 (11 enodes)
1554042631.439 * * [simplify]: iters left: 1 (13 enodes)
1554042631.441 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042631.441 * * [simplify]: Extracting #1: cost 0 inf + 1
1554042631.441 * [simplify]: Simplified to 1
1554042631.441 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (/ (sqrt k) (cbrt 1)))))
1554042631.441 * * * * [progress]: [ 84 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (sqrt 1) (/ (sqrt k) (sqrt 1)))))>
1554042631.441 * [simplify]: Simplifying (sqrt 1)
1554042631.441 * * [simplify]: iters left: 1 (2 enodes)
1554042631.444 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042631.444 * * [simplify]: Extracting #1: cost 0 inf + 1
1554042631.444 * [simplify]: Simplified to 1
1554042631.444 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (/ (sqrt k) (sqrt 1)))))
1554042631.444 * * * * [progress]: [ 85 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (/ (sqrt k) 1))))>
1554042631.444 * * * * [progress]: [ 86 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (posit16->real (real->posit16 (/ 1 (sqrt k))))))>
1554042631.444 * * * * [progress]: [ 87 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (/ 1 (sqrt k))))>
1554042631.445 * [simplify]: Simplifying (* n (* 2 PI))
1554042631.445 * * [simplify]: iters left: 4 (5 enodes)
1554042631.448 * * [simplify]: iters left: 3 (19 enodes)
1554042631.454 * * [simplify]: iters left: 2 (27 enodes)
1554042631.462 * * [simplify]: iters left: 1 (32 enodes)
1554042631.469 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042631.469 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042631.469 * * [simplify]: Extracting #2: cost 7 inf + 45
1554042631.470 * * [simplify]: Extracting #3: cost 0 inf + 421
1554042631.470 * [simplify]: Simplified to (* (* PI 2) n)
1554042631.470 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (/ 1 (sqrt k))))
1554042631.470 * * * * [progress]: [ 88 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (/ 1 (sqrt k))))>
1554042631.470 * [simplify]: Simplifying (* n (* 2 PI))
1554042631.470 * * [simplify]: iters left: 4 (5 enodes)
1554042631.472 * * [simplify]: iters left: 3 (19 enodes)
1554042631.475 * * [simplify]: iters left: 2 (27 enodes)
1554042631.479 * * [simplify]: iters left: 1 (32 enodes)
1554042631.483 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042631.483 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042631.483 * * [simplify]: Extracting #2: cost 7 inf + 45
1554042631.483 * * [simplify]: Extracting #3: cost 0 inf + 421
1554042631.483 * [simplify]: Simplified to (* (* PI 2) n)
1554042631.483 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (/ 1 (sqrt k))))
1554042631.484 * * * * [progress]: [ 89 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (/ 1 (sqrt k))))>
1554042631.484 * * * * [progress]: [ 90 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (- 1 k) 2)) (/ 1 (sqrt k))))>
1554042631.484 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI)))
1554042631.484 * * [simplify]: iters left: 5 (8 enodes)
1554042631.486 * * [simplify]: iters left: 4 (28 enodes)
1554042631.491 * * [simplify]: iters left: 3 (36 enodes)
1554042631.497 * * [simplify]: iters left: 2 (42 enodes)
1554042631.503 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042631.503 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042631.503 * * [simplify]: Extracting #2: cost 17 inf + 0
1554042631.503 * * [simplify]: Extracting #3: cost 12 inf + 145
1554042631.504 * * [simplify]: Extracting #4: cost 5 inf + 1197
1554042631.504 * * [simplify]: Extracting #5: cost 1 inf + 1925
1554042631.505 * * [simplify]: Extracting #6: cost 0 inf + 2107
1554042631.506 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI)))
1554042631.506 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (- 1 k) 2)) (/ 1 (sqrt k))))
1554042631.506 * * * * [progress]: [ 91 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (exp (+ (log n) (log (* 2 PI)))) (/ (- 1 k) 2)) (/ 1 (sqrt k))))>
1554042631.506 * [simplify]: Simplifying (+ (log n) (log (* 2 PI)))
1554042631.506 * * [simplify]: iters left: 5 (7 enodes)
1554042631.510 * * [simplify]: iters left: 4 (26 enodes)
1554042631.518 * * [simplify]: iters left: 3 (35 enodes)
1554042631.532 * * [simplify]: iters left: 2 (44 enodes)
1554042631.544 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042631.545 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042631.545 * * [simplify]: Extracting #2: cost 18 inf + 0
1554042631.545 * * [simplify]: Extracting #3: cost 15 inf + 74
1554042631.545 * * [simplify]: Extracting #4: cost 8 inf + 554
1554042631.546 * * [simplify]: Extracting #5: cost 0 inf + 1911
1554042631.546 * [simplify]: Simplified to (+ (log n) (log (* 2 PI)))
1554042631.546 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (exp (+ (log n) (log (* 2 PI)))) (/ (- 1 k) 2)) (/ 1 (sqrt k))))
1554042631.547 * * * * [progress]: [ 92 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (exp (log (* n (* 2 PI)))) (/ (- 1 k) 2)) (/ 1 (sqrt k))))>
1554042631.547 * * * * [progress]: [ 93 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (log (exp (* n (* 2 PI)))) (/ (- 1 k) 2)) (/ 1 (sqrt k))))>
1554042631.547 * * * * [progress]: [ 94 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (cbrt (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI)))) (/ (- 1 k) 2)) (/ 1 (sqrt k))))>
1554042631.547 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI)))
1554042631.547 * * [simplify]: iters left: 6 (11 enodes)
1554042631.556 * * [simplify]: iters left: 5 (48 enodes)
1554042631.575 * * [simplify]: iters left: 4 (121 enodes)
1554042631.625 * * [simplify]: iters left: 3 (348 enodes)
1554042631.833 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042631.833 * * [simplify]: Extracting #1: cost 67 inf + 0
1554042631.833 * * [simplify]: Extracting #2: cost 165 inf + 786
1554042631.836 * * [simplify]: Extracting #3: cost 85 inf + 10177
1554042631.842 * * [simplify]: Extracting #4: cost 9 inf + 26399
1554042631.848 * * [simplify]: Extracting #5: cost 0 inf + 28546
1554042631.855 * * [simplify]: Extracting #6: cost 0 inf + 28506
1554042631.865 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI))
1554042631.866 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (cbrt (* (* (* (* n PI) (* n PI)) 8) (* n PI))) (/ (- 1 k) 2)) (/ 1 (sqrt k))))
1554042631.866 * * * * [progress]: [ 95 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (cbrt (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))) (/ (- 1 k) 2)) (/ 1 (sqrt k))))>
1554042631.866 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))
1554042631.866 * * [simplify]: iters left: 6 (9 enodes)
1554042631.872 * * [simplify]: iters left: 5 (45 enodes)
1554042631.891 * * [simplify]: iters left: 4 (117 enodes)
1554042631.934 * * [simplify]: iters left: 3 (374 enodes)
1554042632.220 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042632.221 * * [simplify]: Extracting #1: cost 77 inf + 0
1554042632.223 * * [simplify]: Extracting #2: cost 184 inf + 984
1554042632.230 * * [simplify]: Extracting #3: cost 106 inf + 11690
1554042632.247 * * [simplify]: Extracting #4: cost 6 inf + 30376
1554042632.265 * * [simplify]: Extracting #5: cost 0 inf + 31644
1554042632.285 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n))
1554042632.285 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (- 1 k) 2)) (/ 1 (sqrt k))))
1554042632.285 * * * * [progress]: [ 96 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (- 1 k) 2)) (/ 1 (sqrt k))))>
1554042632.285 * * * * [progress]: [ 97 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (cbrt (* (* (* n (* 2 PI)) (* n (* 2 PI))) (* n (* 2 PI)))) (/ (- 1 k) 2)) (/ 1 (sqrt k))))>
1554042632.286 * * * * [progress]: [ 98 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (sqrt (* n (* 2 PI))) (sqrt (* n (* 2 PI)))) (/ (- 1 k) 2)) (/ 1 (sqrt k))))>
1554042632.286 * * * * [progress]: [ 99 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 1 (* n (* 2 PI))) (/ (- 1 k) 2)) (/ 1 (sqrt k))))>
1554042632.286 * * * * [progress]: [ 100 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* n 2) PI) (/ (- 1 k) 2)) (/ 1 (sqrt k))))>
1554042632.286 * * * * [progress]: [ 101 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (- 1 k) 2)) (/ 1 (sqrt k))))>
1554042632.286 * [simplify]: Simplifying (* (cbrt n) (cbrt n))
1554042632.286 * * [simplify]: iters left: 3 (3 enodes)
1554042632.288 * * [simplify]: iters left: 2 (9 enodes)
1554042632.290 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042632.290 * * [simplify]: Extracting #1: cost 3 inf + 0
1554042632.290 * * [simplify]: Extracting #2: cost 5 inf + 0
1554042632.290 * * [simplify]: Extracting #3: cost 4 inf + 1
1554042632.290 * * [simplify]: Extracting #4: cost 0 inf + 405
1554042632.291 * [simplify]: Simplified to (* (cbrt n) (cbrt n))
1554042632.291 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (- 1 k) 2)) (/ 1 (sqrt k))))
1554042632.291 * * * * [progress]: [ 102 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (- 1 k) 2)) (/ 1 (sqrt k))))>
1554042632.291 * [simplify]: Simplifying (sqrt n)
1554042632.291 * * [simplify]: iters left: 1 (2 enodes)
1554042632.292 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042632.292 * * [simplify]: Extracting #1: cost 3 inf + 0
1554042632.292 * * [simplify]: Extracting #2: cost 2 inf + 1
1554042632.292 * * [simplify]: Extracting #3: cost 0 inf + 83
1554042632.292 * [simplify]: Simplified to (sqrt n)
1554042632.292 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (- 1 k) 2)) (/ 1 (sqrt k))))
1554042632.292 * * * * [progress]: [ 103 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 1 (* n (* 2 PI))) (/ (- 1 k) 2)) (/ 1 (sqrt k))))>
1554042632.293 * * * * [progress]: [ 104 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (posit16->real (real->posit16 (* n (* 2 PI)))) (/ (- 1 k) 2)) (/ 1 (sqrt k))))>
1554042632.293 * * * * [progress]: [ 105 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (/ 1 (sqrt k))))>
1554042632.293 * * * * [progress]: [ 106 / 189 ] simplifiying candidate #<alt (λ (k n) (pow (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k))) 1))>
1554042632.293 * * * * [progress]: [ 107 / 189 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (- (log (sqrt k))))))>
1554042632.293 * [simplify]: Simplifying (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (- (log (sqrt k))))
1554042632.293 * * [simplify]: iters left: 6 (17 enodes)
1554042632.309 * * [simplify]: iters left: 5 (68 enodes)
1554042632.331 * * [simplify]: iters left: 4 (111 enodes)
1554042632.363 * * [simplify]: iters left: 3 (294 enodes)
1554042632.461 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042632.461 * * [simplify]: Extracting #1: cost 35 inf + 0
1554042632.461 * * [simplify]: Extracting #2: cost 86 inf + 0
1554042632.462 * * [simplify]: Extracting #3: cost 145 inf + 73
1554042632.464 * * [simplify]: Extracting #4: cost 158 inf + 2059
1554042632.471 * * [simplify]: Extracting #5: cost 60 inf + 25418
1554042632.489 * * [simplify]: Extracting #6: cost 4 inf + 45627
1554042632.508 * * [simplify]: Extracting #7: cost 0 inf + 47344
1554042632.532 * [simplify]: Simplified to (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) (log (sqrt k)))
1554042632.532 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) (log (sqrt k)))))
1554042632.532 * * * * [progress]: [ 108 / 189 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (- 0 (log (sqrt k))))))>
1554042632.533 * [simplify]: Simplifying (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (- 0 (log (sqrt k))))
1554042632.533 * * [simplify]: iters left: 6 (18 enodes)
1554042632.540 * * [simplify]: iters left: 5 (73 enodes)
1554042632.553 * * [simplify]: iters left: 4 (122 enodes)
1554042632.593 * * [simplify]: iters left: 3 (339 enodes)
1554042632.720 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042632.720 * * [simplify]: Extracting #1: cost 26 inf + 0
1554042632.720 * * [simplify]: Extracting #2: cost 116 inf + 1
1554042632.721 * * [simplify]: Extracting #3: cost 183 inf + 74
1554042632.723 * * [simplify]: Extracting #4: cost 159 inf + 10387
1554042632.735 * * [simplify]: Extracting #5: cost 25 inf + 49992
1554042632.758 * * [simplify]: Extracting #6: cost 0 inf + 59914
1554042632.781 * * [simplify]: Extracting #7: cost 0 inf + 59868
1554042632.805 * * [simplify]: Extracting #8: cost 0 inf + 59867
1554042632.828 * [simplify]: Simplified to (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) (log (sqrt k)))
1554042632.829 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) (log (sqrt k)))))
1554042632.829 * * * * [progress]: [ 109 / 189 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (- (log 1) (log (sqrt k))))))>
1554042632.829 * [simplify]: Simplifying (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (- (log 1) (log (sqrt k))))
1554042632.829 * * [simplify]: iters left: 6 (18 enodes)
1554042632.843 * * [simplify]: iters left: 5 (74 enodes)
1554042632.861 * * [simplify]: iters left: 4 (118 enodes)
1554042632.889 * * [simplify]: iters left: 3 (319 enodes)
1554042633.027 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042633.027 * * [simplify]: Extracting #1: cost 51 inf + 0
1554042633.028 * * [simplify]: Extracting #2: cost 112 inf + 1
1554042633.029 * * [simplify]: Extracting #3: cost 171 inf + 74
1554042633.030 * * [simplify]: Extracting #4: cost 192 inf + 514
1554042633.035 * * [simplify]: Extracting #5: cost 132 inf + 13318
1554042633.055 * * [simplify]: Extracting #6: cost 20 inf + 50494
1554042633.074 * * [simplify]: Extracting #7: cost 0 inf + 58416
1554042633.097 * * [simplify]: Extracting #8: cost 0 inf + 58411
1554042633.118 * [simplify]: Simplified to (- (/ (- (+ (log PI) (+ (log n) (log 2))) (* k (+ (log PI) (+ (log n) (log 2))))) 2) (log (sqrt k)))
1554042633.119 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log PI) (+ (log n) (log 2))) (* k (+ (log PI) (+ (log n) (log 2))))) 2) (log (sqrt k)))))
1554042633.119 * * * * [progress]: [ 110 / 189 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (log (/ 1 (sqrt k))))))>
1554042633.119 * [simplify]: Simplifying (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (log (/ 1 (sqrt k))))
1554042633.119 * * [simplify]: iters left: 6 (17 enodes)
1554042633.129 * * [simplify]: iters left: 5 (71 enodes)
1554042633.148 * * [simplify]: iters left: 4 (117 enodes)
1554042633.179 * * [simplify]: iters left: 3 (308 enodes)
1554042633.304 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042633.304 * * [simplify]: Extracting #1: cost 37 inf + 0
1554042633.304 * * [simplify]: Extracting #2: cost 108 inf + 1
1554042633.305 * * [simplify]: Extracting #3: cost 168 inf + 74
1554042633.306 * * [simplify]: Extracting #4: cost 187 inf + 837
1554042633.309 * * [simplify]: Extracting #5: cost 90 inf + 24004
1554042633.318 * * [simplify]: Extracting #6: cost 12 inf + 50887
1554042633.332 * * [simplify]: Extracting #7: cost 0 inf + 55727
1554042633.353 * [simplify]: Simplified to (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) (log (sqrt k)))
1554042633.353 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) (log (sqrt k)))))
1554042633.354 * * * * [progress]: [ 111 / 189 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (- (log (sqrt k))))))>
1554042633.354 * [simplify]: Simplifying (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (- (log (sqrt k))))
1554042633.354 * * [simplify]: iters left: 6 (16 enodes)
1554042633.363 * * [simplify]: iters left: 5 (66 enodes)
1554042633.385 * * [simplify]: iters left: 4 (104 enodes)
1554042633.427 * * [simplify]: iters left: 3 (238 enodes)
1554042633.519 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042633.519 * * [simplify]: Extracting #1: cost 27 inf + 0
1554042633.519 * * [simplify]: Extracting #2: cost 74 inf + 0
1554042633.519 * * [simplify]: Extracting #3: cost 127 inf + 73
1554042633.520 * * [simplify]: Extracting #4: cost 143 inf + 1083
1554042633.523 * * [simplify]: Extracting #5: cost 51 inf + 20470
1554042633.530 * * [simplify]: Extracting #6: cost 2 inf + 36270
1554042633.537 * * [simplify]: Extracting #7: cost 0 inf + 36684
1554042633.547 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k)))
1554042633.548 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k)))))
1554042633.548 * * * * [progress]: [ 112 / 189 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (- 0 (log (sqrt k))))))>
1554042633.548 * [simplify]: Simplifying (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (- 0 (log (sqrt k))))
1554042633.548 * * [simplify]: iters left: 6 (17 enodes)
1554042633.558 * * [simplify]: iters left: 5 (71 enodes)
1554042633.577 * * [simplify]: iters left: 4 (115 enodes)
1554042633.605 * * [simplify]: iters left: 3 (277 enodes)
1554042633.709 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042633.710 * * [simplify]: Extracting #1: cost 23 inf + 0
1554042633.710 * * [simplify]: Extracting #2: cost 105 inf + 1
1554042633.710 * * [simplify]: Extracting #3: cost 165 inf + 3
1554042633.711 * * [simplify]: Extracting #4: cost 176 inf + 1530
1554042633.714 * * [simplify]: Extracting #5: cost 99 inf + 17269
1554042633.721 * * [simplify]: Extracting #6: cost 18 inf + 41889
1554042633.733 * * [simplify]: Extracting #7: cost 0 inf + 47980
1554042633.753 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k)))
1554042633.753 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k)))))
1554042633.753 * * * * [progress]: [ 113 / 189 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (- (log 1) (log (sqrt k))))))>
1554042633.753 * [simplify]: Simplifying (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (- (log 1) (log (sqrt k))))
1554042633.753 * * [simplify]: iters left: 6 (17 enodes)
1554042633.759 * * [simplify]: iters left: 5 (72 enodes)
1554042633.771 * * [simplify]: iters left: 4 (111 enodes)
1554042633.801 * * [simplify]: iters left: 3 (261 enodes)
1554042633.898 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042633.898 * * [simplify]: Extracting #1: cost 39 inf + 0
1554042633.898 * * [simplify]: Extracting #2: cost 94 inf + 1
1554042633.898 * * [simplify]: Extracting #3: cost 148 inf + 3
1554042633.899 * * [simplify]: Extracting #4: cost 160 inf + 1602
1554042633.902 * * [simplify]: Extracting #5: cost 69 inf + 21379
1554042633.911 * * [simplify]: Extracting #6: cost 8 inf + 42113
1554042633.928 * * [simplify]: Extracting #7: cost 0 inf + 44448
1554042633.941 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k)))
1554042633.941 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k)))))
1554042633.942 * * * * [progress]: [ 114 / 189 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (log (/ 1 (sqrt k))))))>
1554042633.942 * [simplify]: Simplifying (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (log (/ 1 (sqrt k))))
1554042633.942 * * [simplify]: iters left: 6 (16 enodes)
1554042633.947 * * [simplify]: iters left: 5 (69 enodes)
1554042633.959 * * [simplify]: iters left: 4 (110 enodes)
1554042633.990 * * [simplify]: iters left: 3 (248 enodes)
1554042634.098 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042634.098 * * [simplify]: Extracting #1: cost 32 inf + 0
1554042634.099 * * [simplify]: Extracting #2: cost 93 inf + 1
1554042634.100 * * [simplify]: Extracting #3: cost 148 inf + 3
1554042634.101 * * [simplify]: Extracting #4: cost 163 inf + 1044
1554042634.105 * * [simplify]: Extracting #5: cost 78 inf + 17812
1554042634.117 * * [simplify]: Extracting #6: cost 6 inf + 41381
1554042634.131 * * [simplify]: Extracting #7: cost 0 inf + 43771
1554042634.147 * * [simplify]: Extracting #8: cost 0 inf + 43768
1554042634.164 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k)))
1554042634.164 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k)))))
1554042634.164 * * * * [progress]: [ 115 / 189 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (- (log (sqrt k))))))>
1554042634.165 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (- (log (sqrt k))))
1554042634.165 * * [simplify]: iters left: 6 (15 enodes)
1554042634.173 * * [simplify]: iters left: 5 (65 enodes)
1554042634.193 * * [simplify]: iters left: 4 (111 enodes)
1554042634.237 * * [simplify]: iters left: 3 (223 enodes)
1554042634.337 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042634.337 * * [simplify]: Extracting #1: cost 20 inf + 0
1554042634.337 * * [simplify]: Extracting #2: cost 69 inf + 0
1554042634.338 * * [simplify]: Extracting #3: cost 124 inf + 73
1554042634.338 * * [simplify]: Extracting #4: cost 141 inf + 1357
1554042634.340 * * [simplify]: Extracting #5: cost 62 inf + 14905
1554042634.349 * * [simplify]: Extracting #6: cost 7 inf + 29401
1554042634.355 * * [simplify]: Extracting #7: cost 0 inf + 32280
1554042634.367 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k)))
1554042634.367 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k)))))
1554042634.368 * * * * [progress]: [ 116 / 189 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (- 0 (log (sqrt k))))))>
1554042634.368 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (- 0 (log (sqrt k))))
1554042634.368 * * [simplify]: iters left: 6 (16 enodes)
1554042634.378 * * [simplify]: iters left: 5 (70 enodes)
1554042634.403 * * [simplify]: iters left: 4 (122 enodes)
1554042634.440 * * [simplify]: iters left: 3 (254 enodes)
1554042634.518 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042634.518 * * [simplify]: Extracting #1: cost 21 inf + 0
1554042634.518 * * [simplify]: Extracting #2: cost 93 inf + 1
1554042634.519 * * [simplify]: Extracting #3: cost 152 inf + 3
1554042634.521 * * [simplify]: Extracting #4: cost 166 inf + 1435
1554042634.526 * * [simplify]: Extracting #5: cost 63 inf + 20571
1554042634.534 * * [simplify]: Extracting #6: cost 4 inf + 38498
1554042634.545 * * [simplify]: Extracting #7: cost 0 inf + 39935
1554042634.553 * * [simplify]: Extracting #8: cost 0 inf + 39825
1554042634.565 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k)))
1554042634.565 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k)))))
1554042634.565 * * * * [progress]: [ 117 / 189 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (- (log 1) (log (sqrt k))))))>
1554042634.566 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (- (log 1) (log (sqrt k))))
1554042634.566 * * [simplify]: iters left: 6 (16 enodes)
1554042634.576 * * [simplify]: iters left: 5 (71 enodes)
1554042634.601 * * [simplify]: iters left: 4 (118 enodes)
1554042634.626 * * [simplify]: iters left: 3 (243 enodes)
1554042634.708 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042634.708 * * [simplify]: Extracting #1: cost 30 inf + 0
1554042634.708 * * [simplify]: Extracting #2: cost 85 inf + 1
1554042634.709 * * [simplify]: Extracting #3: cost 141 inf + 3
1554042634.710 * * [simplify]: Extracting #4: cost 160 inf + 1180
1554042634.715 * * [simplify]: Extracting #5: cost 82 inf + 13821
1554042634.726 * * [simplify]: Extracting #6: cost 12 inf + 33392
1554042634.742 * * [simplify]: Extracting #7: cost 0 inf + 37906
1554042634.758 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k)))
1554042634.759 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k)))))
1554042634.759 * * * * [progress]: [ 118 / 189 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (/ 1 (sqrt k))))))>
1554042634.759 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (/ 1 (sqrt k))))
1554042634.759 * * [simplify]: iters left: 6 (15 enodes)
1554042634.773 * * [simplify]: iters left: 5 (68 enodes)
1554042634.791 * * [simplify]: iters left: 4 (117 enodes)
1554042634.813 * * [simplify]: iters left: 3 (233 enodes)
1554042634.898 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042634.898 * * [simplify]: Extracting #1: cost 21 inf + 0
1554042634.898 * * [simplify]: Extracting #2: cost 78 inf + 1
1554042634.899 * * [simplify]: Extracting #3: cost 135 inf + 3
1554042634.900 * * [simplify]: Extracting #4: cost 156 inf + 857
1554042634.903 * * [simplify]: Extracting #5: cost 72 inf + 15592
1554042634.908 * * [simplify]: Extracting #6: cost 13 inf + 30155
1554042634.915 * * [simplify]: Extracting #7: cost 2 inf + 33823
1554042634.922 * * [simplify]: Extracting #8: cost 0 inf + 34931
1554042634.929 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k)))
1554042634.929 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k)))))
1554042634.929 * * * * [progress]: [ 119 / 189 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (- (log (sqrt k))))))>
1554042634.930 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (- (log (sqrt k))))
1554042634.930 * * [simplify]: iters left: 6 (15 enodes)
1554042634.938 * * [simplify]: iters left: 5 (65 enodes)
1554042634.960 * * [simplify]: iters left: 4 (111 enodes)
1554042635.004 * * [simplify]: iters left: 3 (223 enodes)
1554042635.075 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042635.075 * * [simplify]: Extracting #1: cost 20 inf + 0
1554042635.075 * * [simplify]: Extracting #2: cost 69 inf + 0
1554042635.076 * * [simplify]: Extracting #3: cost 124 inf + 73
1554042635.076 * * [simplify]: Extracting #4: cost 141 inf + 1357
1554042635.079 * * [simplify]: Extracting #5: cost 62 inf + 14905
1554042635.089 * * [simplify]: Extracting #6: cost 7 inf + 29401
1554042635.103 * * [simplify]: Extracting #7: cost 0 inf + 32280
1554042635.116 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k)))
1554042635.116 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k)))))
1554042635.116 * * * * [progress]: [ 120 / 189 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (- 0 (log (sqrt k))))))>
1554042635.116 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (- 0 (log (sqrt k))))
1554042635.116 * * [simplify]: iters left: 6 (16 enodes)
1554042635.126 * * [simplify]: iters left: 5 (70 enodes)
1554042635.147 * * [simplify]: iters left: 4 (122 enodes)
1554042635.170 * * [simplify]: iters left: 3 (254 enodes)
1554042635.294 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042635.294 * * [simplify]: Extracting #1: cost 21 inf + 0
1554042635.295 * * [simplify]: Extracting #2: cost 93 inf + 1
1554042635.295 * * [simplify]: Extracting #3: cost 152 inf + 3
1554042635.297 * * [simplify]: Extracting #4: cost 166 inf + 1435
1554042635.304 * * [simplify]: Extracting #5: cost 63 inf + 20571
1554042635.319 * * [simplify]: Extracting #6: cost 4 inf + 38498
1554042635.339 * * [simplify]: Extracting #7: cost 0 inf + 39935
1554042635.356 * * [simplify]: Extracting #8: cost 0 inf + 39825
1554042635.367 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k)))
1554042635.367 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k)))))
1554042635.367 * * * * [progress]: [ 121 / 189 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (- (log 1) (log (sqrt k))))))>
1554042635.367 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (- (log 1) (log (sqrt k))))
1554042635.367 * * [simplify]: iters left: 6 (16 enodes)
1554042635.373 * * [simplify]: iters left: 5 (71 enodes)
1554042635.384 * * [simplify]: iters left: 4 (118 enodes)
1554042635.415 * * [simplify]: iters left: 3 (243 enodes)
1554042635.515 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042635.515 * * [simplify]: Extracting #1: cost 30 inf + 0
1554042635.515 * * [simplify]: Extracting #2: cost 85 inf + 1
1554042635.516 * * [simplify]: Extracting #3: cost 141 inf + 3
1554042635.517 * * [simplify]: Extracting #4: cost 160 inf + 1180
1554042635.519 * * [simplify]: Extracting #5: cost 82 inf + 13821
1554042635.525 * * [simplify]: Extracting #6: cost 12 inf + 33392
1554042635.533 * * [simplify]: Extracting #7: cost 0 inf + 37906
1554042635.541 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k)))
1554042635.541 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k)))))
1554042635.541 * * * * [progress]: [ 122 / 189 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (/ 1 (sqrt k))))))>
1554042635.541 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (/ 1 (sqrt k))))
1554042635.541 * * [simplify]: iters left: 6 (15 enodes)
1554042635.549 * * [simplify]: iters left: 5 (68 enodes)
1554042635.562 * * [simplify]: iters left: 4 (117 enodes)
1554042635.596 * * [simplify]: iters left: 3 (233 enodes)
1554042635.670 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042635.671 * * [simplify]: Extracting #1: cost 21 inf + 0
1554042635.671 * * [simplify]: Extracting #2: cost 78 inf + 1
1554042635.671 * * [simplify]: Extracting #3: cost 135 inf + 3
1554042635.672 * * [simplify]: Extracting #4: cost 156 inf + 857
1554042635.674 * * [simplify]: Extracting #5: cost 72 inf + 15592
1554042635.679 * * [simplify]: Extracting #6: cost 13 inf + 30155
1554042635.686 * * [simplify]: Extracting #7: cost 2 inf + 33823
1554042635.693 * * [simplify]: Extracting #8: cost 0 inf + 34931
1554042635.704 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k)))
1554042635.704 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k)))))
1554042635.705 * * * * [progress]: [ 123 / 189 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (- (log (sqrt k))))))>
1554042635.705 * [simplify]: Simplifying (+ (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (- (log (sqrt k))))
1554042635.705 * * [simplify]: iters left: 6 (15 enodes)
1554042635.712 * * [simplify]: iters left: 5 (64 enodes)
1554042635.723 * * [simplify]: iters left: 4 (111 enodes)
1554042635.748 * * [simplify]: iters left: 3 (214 enodes)
1554042635.813 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042635.813 * * [simplify]: Extracting #1: cost 20 inf + 0
1554042635.813 * * [simplify]: Extracting #2: cost 94 inf + 0
1554042635.814 * * [simplify]: Extracting #3: cost 168 inf + 2
1554042635.814 * * [simplify]: Extracting #4: cost 162 inf + 2172
1554042635.817 * * [simplify]: Extracting #5: cost 71 inf + 21466
1554042635.827 * * [simplify]: Extracting #6: cost 2 inf + 40379
1554042635.845 * * [simplify]: Extracting #7: cost 0 inf + 40543
1554042635.852 * * [simplify]: Extracting #8: cost 0 inf + 40304
1554042635.858 * [simplify]: Simplified to (- (* (log (* (* PI 2) n)) (/ (- 1 k) 2)) (log (sqrt k)))
1554042635.858 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* PI 2) n)) (/ (- 1 k) 2)) (log (sqrt k)))))
1554042635.859 * * * * [progress]: [ 124 / 189 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (- 0 (log (sqrt k))))))>
1554042635.859 * [simplify]: Simplifying (+ (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (- 0 (log (sqrt k))))
1554042635.859 * * [simplify]: iters left: 6 (16 enodes)
1554042635.864 * * [simplify]: iters left: 5 (69 enodes)
1554042635.877 * * [simplify]: iters left: 4 (122 enodes)
1554042635.900 * * [simplify]: iters left: 3 (244 enodes)
1554042635.975 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042635.975 * * [simplify]: Extracting #1: cost 23 inf + 0
1554042635.975 * * [simplify]: Extracting #2: cost 121 inf + 1
1554042635.976 * * [simplify]: Extracting #3: cost 196 inf + 3
1554042635.979 * * [simplify]: Extracting #4: cost 159 inf + 6678
1554042635.987 * * [simplify]: Extracting #5: cost 40 inf + 35203
1554042635.996 * * [simplify]: Extracting #6: cost 2 inf + 47598
1554042636.004 * * [simplify]: Extracting #7: cost 0 inf + 48511
1554042636.018 * [simplify]: Simplified to (- (/ (* (- 1 k) (log (* (* PI 2) n))) 2) (log (sqrt k)))
1554042636.019 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (* (- 1 k) (log (* (* PI 2) n))) 2) (log (sqrt k)))))
1554042636.019 * * * * [progress]: [ 125 / 189 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (- (log 1) (log (sqrt k))))))>
1554042636.019 * [simplify]: Simplifying (+ (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (- (log 1) (log (sqrt k))))
1554042636.019 * * [simplify]: iters left: 6 (16 enodes)
1554042636.029 * * [simplify]: iters left: 5 (70 enodes)
1554042636.053 * * [simplify]: iters left: 4 (118 enodes)
1554042636.083 * * [simplify]: iters left: 3 (232 enodes)
1554042636.161 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042636.161 * * [simplify]: Extracting #1: cost 27 inf + 0
1554042636.162 * * [simplify]: Extracting #2: cost 108 inf + 1
1554042636.162 * * [simplify]: Extracting #3: cost 182 inf + 3
1554042636.163 * * [simplify]: Extracting #4: cost 161 inf + 3528
1554042636.167 * * [simplify]: Extracting #5: cost 58 inf + 25890
1554042636.174 * * [simplify]: Extracting #6: cost 3 inf + 43665
1554042636.182 * * [simplify]: Extracting #7: cost 0 inf + 45365
1554042636.190 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt k)))
1554042636.190 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt k)))))
1554042636.190 * * * * [progress]: [ 126 / 189 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (log (/ 1 (sqrt k))))))>
1554042636.190 * [simplify]: Simplifying (+ (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (log (/ 1 (sqrt k))))
1554042636.190 * * [simplify]: iters left: 6 (15 enodes)
1554042636.195 * * [simplify]: iters left: 5 (67 enodes)
1554042636.212 * * [simplify]: iters left: 4 (117 enodes)
1554042636.239 * * [simplify]: iters left: 3 (224 enodes)
1554042636.319 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042636.319 * * [simplify]: Extracting #1: cost 22 inf + 0
1554042636.319 * * [simplify]: Extracting #2: cost 106 inf + 1
1554042636.320 * * [simplify]: Extracting #3: cost 181 inf + 3
1554042636.321 * * [simplify]: Extracting #4: cost 150 inf + 6038
1554042636.326 * * [simplify]: Extracting #5: cost 41 inf + 32157
1554042636.335 * * [simplify]: Extracting #6: cost 2 inf + 43501
1554042636.349 * * [simplify]: Extracting #7: cost 0 inf + 44153
1554042636.364 * [simplify]: Simplified to (- (/ (- 1 k) (/ 2 (log (* (* PI 2) n)))) (log (sqrt k)))
1554042636.364 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- 1 k) (/ 2 (log (* (* PI 2) n)))) (log (sqrt k)))))
1554042636.364 * * * * [progress]: [ 127 / 189 ] simplifiying candidate #<alt (λ (k n) (exp (log (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k))))))>
1554042636.364 * * * * [progress]: [ 128 / 189 ] simplifiying candidate #<alt (λ (k n) (log (exp (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k))))))>
1554042636.364 * * * * [progress]: [ 129 / 189 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))))))>
1554042636.365 * [simplify]: Simplifying (* (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))))
1554042636.365 * * [simplify]: iters left: 6 (19 enodes)
1554042636.373 * * [simplify]: iters left: 5 (80 enodes)
1554042636.389 * * [simplify]: iters left: 4 (188 enodes)
1554042636.479 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042636.479 * * [simplify]: Extracting #1: cost 50 inf + 0
1554042636.479 * * [simplify]: Extracting #2: cost 145 inf + 206
1554042636.480 * * [simplify]: Extracting #3: cost 157 inf + 1393
1554042636.481 * * [simplify]: Extracting #4: cost 146 inf + 2848
1554042636.486 * * [simplify]: Extracting #5: cost 56 inf + 40587
1554042636.496 * * [simplify]: Extracting #6: cost 0 inf + 73945
1554042636.512 * * [simplify]: Extracting #7: cost 0 inf + 73750
1554042636.532 * [simplify]: Simplified to (/ (/ (pow (pow (* (* PI 2) n) (/ (- 1 k) 2)) 3) (sqrt k)) k)
1554042636.532 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (/ (/ (pow (pow (* (* PI 2) n) (/ (- 1 k) 2)) 3) (sqrt k)) k)))
1554042636.532 * * * * [progress]: [ 130 / 189 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))))))>
1554042636.533 * [simplify]: Simplifying (* (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))))
1554042636.533 * * [simplify]: iters left: 6 (17 enodes)
1554042636.547 * * [simplify]: iters left: 5 (81 enodes)
1554042636.579 * * [simplify]: iters left: 4 (174 enodes)
1554042636.677 * * [simplify]: iters left: 3 (492 enodes)
1554042637.076 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042637.076 * * [simplify]: Extracting #1: cost 79 inf + 0
1554042637.079 * * [simplify]: Extracting #2: cost 422 inf + 45
1554042637.083 * * [simplify]: Extracting #3: cost 471 inf + 578
1554042637.091 * * [simplify]: Extracting #4: cost 445 inf + 4775
1554042637.104 * * [simplify]: Extracting #5: cost 244 inf + 120026
1554042637.159 * * [simplify]: Extracting #6: cost 16 inf + 296926
1554042637.229 * * [simplify]: Extracting #7: cost 0 inf + 302204
1554042637.296 * * [simplify]: Extracting #8: cost 0 inf + 300487
1554042637.352 * [simplify]: Simplified to (/ (* (* (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow (* (* PI 2) n) (/ (- 1 k) 4))) (pow (* (* PI 2) n) (/ (- 1 k) 4))) (* (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow (* (* PI 2) n) (/ (- 1 k) 4))) (pow (* (* PI 2) n) (/ (- 1 k) 4)))) (* (sqrt k) k))
1554042637.352 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (/ (* (* (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow (* (* PI 2) n) (/ (- 1 k) 4))) (pow (* (* PI 2) n) (/ (- 1 k) 4))) (* (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow (* (* PI 2) n) (/ (- 1 k) 4))) (pow (* (* PI 2) n) (/ (- 1 k) 4)))) (* (sqrt k) k))))
1554042637.353 * * * * [progress]: [ 131 / 189 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) (cbrt (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k))))) (cbrt (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k))))))>
1554042637.353 * * * * [progress]: [ 132 / 189 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k))) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k))))))>
1554042637.353 * * * * [progress]: [ 133 / 189 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) (sqrt (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k))))))>
1554042637.353 * * * * [progress]: [ 134 / 189 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ 1 2)) 1) (* (pow (* n (* 2 PI)) (/ k 2)) (sqrt k))))>
1554042637.353 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ 1 2)) 1)
1554042637.353 * * [simplify]: iters left: 6 (9 enodes)
1554042637.360 * * [simplify]: iters left: 5 (37 enodes)
1554042637.370 * * [simplify]: iters left: 4 (66 enodes)
1554042637.391 * * [simplify]: iters left: 3 (106 enodes)
1554042637.422 * * [simplify]: iters left: 2 (160 enodes)
1554042637.461 * * [simplify]: iters left: 1 (277 enodes)
1554042637.577 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042637.577 * * [simplify]: Extracting #1: cost 18 inf + 0
1554042637.578 * * [simplify]: Extracting #2: cost 67 inf + 3
1554042637.579 * * [simplify]: Extracting #3: cost 72 inf + 11
1554042637.580 * * [simplify]: Extracting #4: cost 58 inf + 2363
1554042637.584 * * [simplify]: Extracting #5: cost 25 inf + 17516
1554042637.590 * * [simplify]: Extracting #6: cost 1 inf + 34423
1554042637.595 * * [simplify]: Extracting #7: cost 0 inf + 35219
1554042637.599 * [simplify]: Simplified to (sqrt (* (* PI 2) n))
1554042637.599 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* PI 2) n)) (* (pow (* n (* 2 PI)) (/ k 2)) (sqrt k))))
1554042637.600 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ k 2)) (sqrt k))
1554042637.600 * * [simplify]: iters left: 6 (10 enodes)
1554042637.603 * * [simplify]: iters left: 5 (38 enodes)
1554042637.609 * * [simplify]: iters left: 4 (62 enodes)
1554042637.620 * * [simplify]: iters left: 3 (104 enodes)
1554042637.646 * * [simplify]: iters left: 2 (207 enodes)
1554042637.703 * * [simplify]: iters left: 1 (463 enodes)
1554042637.978 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042637.978 * * [simplify]: Extracting #1: cost 54 inf + 0
1554042637.979 * * [simplify]: Extracting #2: cost 171 inf + 0
1554042637.980 * * [simplify]: Extracting #3: cost 210 inf + 45
1554042637.982 * * [simplify]: Extracting #4: cost 181 inf + 4887
1554042637.985 * * [simplify]: Extracting #5: cost 140 inf + 13636
1554042637.995 * * [simplify]: Extracting #6: cost 43 inf + 93420
1554042638.029 * * [simplify]: Extracting #7: cost 0 inf + 133565
1554042638.061 * * [simplify]: Extracting #8: cost 0 inf + 131993
1554042638.093 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (* 1/2 k)) (sqrt k))
1554042638.093 * [simplify]: Simplified (2 2) to (λ (k n) (/ (sqrt (* (* PI 2) n)) (* (pow (* (* PI 2) n) (* 1/2 k)) (sqrt k))))
1554042638.093 * * * * [progress]: [ 135 / 189 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))))>
1554042638.093 * * * * [progress]: [ 136 / 189 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))>
1554042638.093 * [simplify]: Simplifying (sqrt k)
1554042638.093 * * [simplify]: iters left: 1 (2 enodes)
1554042638.094 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042638.094 * * [simplify]: Extracting #1: cost 3 inf + 0
1554042638.094 * * [simplify]: Extracting #2: cost 2 inf + 1
1554042638.094 * * [simplify]: Extracting #3: cost 0 inf + 83
1554042638.094 * [simplify]: Simplified to (sqrt k)
1554042638.094 * [simplify]: Simplified (2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))
1554042638.094 * * * * [progress]: [ 137 / 189 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k)))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k))))))>
1554042638.094 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k))))
1554042638.094 * * [simplify]: iters left: 6 (15 enodes)
1554042638.099 * * [simplify]: iters left: 5 (61 enodes)
1554042638.111 * * [simplify]: iters left: 4 (95 enodes)
1554042638.127 * * [simplify]: iters left: 3 (135 enodes)
1554042638.152 * * [simplify]: iters left: 2 (208 enodes)
1554042638.203 * * [simplify]: iters left: 1 (367 enodes)
1554042638.330 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042638.330 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042638.330 * * [simplify]: Extracting #2: cost 9 inf + 0
1554042638.330 * * [simplify]: Extracting #3: cost 40 inf + 0
1554042638.330 * * [simplify]: Extracting #4: cost 123 inf + 2
1554042638.331 * * [simplify]: Extracting #5: cost 150 inf + 345
1554042638.333 * * [simplify]: Extracting #6: cost 93 inf + 9742
1554042638.340 * * [simplify]: Extracting #7: cost 20 inf + 46355
1554042638.350 * * [simplify]: Extracting #8: cost 1 inf + 59527
1554042638.361 * * [simplify]: Extracting #9: cost 0 inf + 59575
1554042638.371 * * [simplify]: Extracting #10: cost 0 inf + 59536
1554042638.386 * [simplify]: Simplified to (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k))))
1554042638.386 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k)))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k))))))
1554042638.387 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k))))
1554042638.387 * * [simplify]: iters left: 6 (15 enodes)
1554042638.395 * * [simplify]: iters left: 5 (61 enodes)
1554042638.415 * * [simplify]: iters left: 4 (95 enodes)
1554042638.435 * * [simplify]: iters left: 3 (135 enodes)
1554042638.468 * * [simplify]: iters left: 2 (208 enodes)
1554042638.538 * * [simplify]: iters left: 1 (367 enodes)
1554042638.687 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042638.687 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042638.687 * * [simplify]: Extracting #2: cost 9 inf + 0
1554042638.687 * * [simplify]: Extracting #3: cost 40 inf + 0
1554042638.688 * * [simplify]: Extracting #4: cost 123 inf + 2
1554042638.689 * * [simplify]: Extracting #5: cost 150 inf + 345
1554042638.693 * * [simplify]: Extracting #6: cost 93 inf + 9742
1554042638.706 * * [simplify]: Extracting #7: cost 20 inf + 46355
1554042638.717 * * [simplify]: Extracting #8: cost 1 inf + 59527
1554042638.727 * * [simplify]: Extracting #9: cost 0 inf + 59575
1554042638.742 * * [simplify]: Extracting #10: cost 0 inf + 59536
1554042638.766 * [simplify]: Simplified to (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k))))
1554042638.767 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k)))) (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k))))))
1554042638.767 * * * * [progress]: [ 138 / 189 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k)))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k))))))>
1554042638.767 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k))))
1554042638.767 * * [simplify]: iters left: 6 (16 enodes)
1554042638.778 * * [simplify]: iters left: 5 (66 enodes)
1554042638.800 * * [simplify]: iters left: 4 (106 enodes)
1554042638.826 * * [simplify]: iters left: 3 (151 enodes)
1554042638.851 * * [simplify]: iters left: 2 (225 enodes)
1554042638.924 * * [simplify]: iters left: 1 (378 enodes)
1554042639.050 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042639.050 * * [simplify]: Extracting #1: cost 7 inf + 0
1554042639.050 * * [simplify]: Extracting #2: cost 13 inf + 1
1554042639.050 * * [simplify]: Extracting #3: cost 42 inf + 1
1554042639.051 * * [simplify]: Extracting #4: cost 113 inf + 125
1554042639.052 * * [simplify]: Extracting #5: cost 135 inf + 2286
1554042639.055 * * [simplify]: Extracting #6: cost 70 inf + 17118
1554042639.064 * * [simplify]: Extracting #7: cost 3 inf + 56117
1554042639.074 * * [simplify]: Extracting #8: cost 0 inf + 57613
1554042639.087 * * [simplify]: Extracting #9: cost 0 inf + 57532
1554042639.097 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
1554042639.097 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k))))))
1554042639.097 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k))))
1554042639.097 * * [simplify]: iters left: 6 (16 enodes)
1554042639.103 * * [simplify]: iters left: 5 (66 enodes)
1554042639.114 * * [simplify]: iters left: 4 (106 enodes)
1554042639.131 * * [simplify]: iters left: 3 (151 enodes)
1554042639.155 * * [simplify]: iters left: 2 (225 enodes)
1554042639.198 * * [simplify]: iters left: 1 (378 enodes)
1554042639.306 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042639.306 * * [simplify]: Extracting #1: cost 7 inf + 0
1554042639.306 * * [simplify]: Extracting #2: cost 13 inf + 1
1554042639.306 * * [simplify]: Extracting #3: cost 42 inf + 1
1554042639.307 * * [simplify]: Extracting #4: cost 113 inf + 125
1554042639.308 * * [simplify]: Extracting #5: cost 135 inf + 2286
1554042639.313 * * [simplify]: Extracting #6: cost 70 inf + 17118
1554042639.327 * * [simplify]: Extracting #7: cost 3 inf + 56117
1554042639.340 * * [simplify]: Extracting #8: cost 0 inf + 57613
1554042639.354 * * [simplify]: Extracting #9: cost 0 inf + 57532
1554042639.364 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
1554042639.364 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))
1554042639.364 * * * * [progress]: [ 139 / 189 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k)))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k))))))>
1554042639.364 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k))))
1554042639.365 * * [simplify]: iters left: 6 (16 enodes)
1554042639.370 * * [simplify]: iters left: 5 (66 enodes)
1554042639.382 * * [simplify]: iters left: 4 (106 enodes)
1554042639.399 * * [simplify]: iters left: 3 (151 enodes)
1554042639.439 * * [simplify]: iters left: 2 (225 enodes)
1554042639.491 * * [simplify]: iters left: 1 (378 enodes)
1554042639.594 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042639.594 * * [simplify]: Extracting #1: cost 7 inf + 0
1554042639.594 * * [simplify]: Extracting #2: cost 13 inf + 1
1554042639.594 * * [simplify]: Extracting #3: cost 42 inf + 1
1554042639.594 * * [simplify]: Extracting #4: cost 113 inf + 125
1554042639.595 * * [simplify]: Extracting #5: cost 135 inf + 2286
1554042639.601 * * [simplify]: Extracting #6: cost 70 inf + 17118
1554042639.610 * * [simplify]: Extracting #7: cost 3 inf + 56117
1554042639.619 * * [simplify]: Extracting #8: cost 0 inf + 57613
1554042639.629 * * [simplify]: Extracting #9: cost 0 inf + 57532
1554042639.642 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
1554042639.642 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k))))))
1554042639.643 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k))))
1554042639.643 * * [simplify]: iters left: 6 (16 enodes)
1554042639.653 * * [simplify]: iters left: 5 (66 enodes)
1554042639.666 * * [simplify]: iters left: 4 (106 enodes)
1554042639.684 * * [simplify]: iters left: 3 (151 enodes)
1554042639.724 * * [simplify]: iters left: 2 (225 enodes)
1554042639.768 * * [simplify]: iters left: 1 (378 enodes)
1554042639.882 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042639.883 * * [simplify]: Extracting #1: cost 7 inf + 0
1554042639.883 * * [simplify]: Extracting #2: cost 13 inf + 1
1554042639.883 * * [simplify]: Extracting #3: cost 42 inf + 1
1554042639.884 * * [simplify]: Extracting #4: cost 113 inf + 125
1554042639.885 * * [simplify]: Extracting #5: cost 135 inf + 2286
1554042639.890 * * [simplify]: Extracting #6: cost 70 inf + 17118
1554042639.898 * * [simplify]: Extracting #7: cost 3 inf + 56117
1554042639.908 * * [simplify]: Extracting #8: cost 0 inf + 57613
1554042639.918 * * [simplify]: Extracting #9: cost 0 inf + 57532
1554042639.928 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
1554042639.928 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))
1554042639.928 * * * * [progress]: [ 140 / 189 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k)))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k))))))>
1554042639.929 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k))))
1554042639.929 * * [simplify]: iters left: 6 (15 enodes)
1554042639.933 * * [simplify]: iters left: 5 (63 enodes)
1554042639.945 * * [simplify]: iters left: 4 (101 enodes)
1554042639.965 * * [simplify]: iters left: 3 (147 enodes)
1554042639.990 * * [simplify]: iters left: 2 (218 enodes)
1554042640.044 * * [simplify]: iters left: 1 (379 enodes)
1554042640.217 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042640.217 * * [simplify]: Extracting #1: cost 7 inf + 0
1554042640.217 * * [simplify]: Extracting #2: cost 13 inf + 1
1554042640.217 * * [simplify]: Extracting #3: cost 42 inf + 1
1554042640.218 * * [simplify]: Extracting #4: cost 116 inf + 369
1554042640.220 * * [simplify]: Extracting #5: cost 130 inf + 1704
1554042640.225 * * [simplify]: Extracting #6: cost 64 inf + 16726
1554042640.240 * * [simplify]: Extracting #7: cost 13 inf + 47688
1554042640.260 * * [simplify]: Extracting #8: cost 0 inf + 58844
1554042640.280 * * [simplify]: Extracting #9: cost 0 inf + 58170
1554042640.299 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
1554042640.300 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k))))))
1554042640.300 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k))))
1554042640.301 * * [simplify]: iters left: 6 (15 enodes)
1554042640.309 * * [simplify]: iters left: 5 (63 enodes)
1554042640.336 * * [simplify]: iters left: 4 (101 enodes)
1554042640.364 * * [simplify]: iters left: 3 (147 enodes)
1554042640.395 * * [simplify]: iters left: 2 (218 enodes)
1554042640.448 * * [simplify]: iters left: 1 (379 enodes)
1554042640.566 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042640.566 * * [simplify]: Extracting #1: cost 7 inf + 0
1554042640.566 * * [simplify]: Extracting #2: cost 13 inf + 1
1554042640.566 * * [simplify]: Extracting #3: cost 42 inf + 1
1554042640.567 * * [simplify]: Extracting #4: cost 116 inf + 369
1554042640.567 * * [simplify]: Extracting #5: cost 130 inf + 1704
1554042640.570 * * [simplify]: Extracting #6: cost 64 inf + 16726
1554042640.583 * * [simplify]: Extracting #7: cost 13 inf + 47688
1554042640.603 * * [simplify]: Extracting #8: cost 0 inf + 58844
1554042640.623 * * [simplify]: Extracting #9: cost 0 inf + 58170
1554042640.646 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
1554042640.646 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))
1554042640.646 * * * * [progress]: [ 141 / 189 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k)))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k))))))>
1554042640.647 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k))))
1554042640.647 * * [simplify]: iters left: 6 (15 enodes)
1554042640.656 * * [simplify]: iters left: 5 (63 enodes)
1554042640.678 * * [simplify]: iters left: 4 (101 enodes)
1554042640.698 * * [simplify]: iters left: 3 (147 enodes)
1554042640.729 * * [simplify]: iters left: 2 (218 enodes)
1554042640.789 * * [simplify]: iters left: 1 (379 enodes)
1554042640.946 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042640.946 * * [simplify]: Extracting #1: cost 7 inf + 0
1554042640.946 * * [simplify]: Extracting #2: cost 13 inf + 1
1554042640.946 * * [simplify]: Extracting #3: cost 42 inf + 1
1554042640.947 * * [simplify]: Extracting #4: cost 116 inf + 369
1554042640.948 * * [simplify]: Extracting #5: cost 130 inf + 1704
1554042640.954 * * [simplify]: Extracting #6: cost 64 inf + 16726
1554042640.962 * * [simplify]: Extracting #7: cost 13 inf + 47688
1554042640.972 * * [simplify]: Extracting #8: cost 0 inf + 58844
1554042640.986 * * [simplify]: Extracting #9: cost 0 inf + 58170
1554042641.004 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
1554042641.004 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k))))))
1554042641.004 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k))))
1554042641.005 * * [simplify]: iters left: 6 (15 enodes)
1554042641.010 * * [simplify]: iters left: 5 (63 enodes)
1554042641.022 * * [simplify]: iters left: 4 (101 enodes)
1554042641.041 * * [simplify]: iters left: 3 (147 enodes)
1554042641.087 * * [simplify]: iters left: 2 (218 enodes)
1554042641.158 * * [simplify]: iters left: 1 (379 enodes)
1554042641.279 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042641.279 * * [simplify]: Extracting #1: cost 7 inf + 0
1554042641.280 * * [simplify]: Extracting #2: cost 13 inf + 1
1554042641.280 * * [simplify]: Extracting #3: cost 42 inf + 1
1554042641.281 * * [simplify]: Extracting #4: cost 116 inf + 369
1554042641.282 * * [simplify]: Extracting #5: cost 130 inf + 1704
1554042641.286 * * [simplify]: Extracting #6: cost 64 inf + 16726
1554042641.297 * * [simplify]: Extracting #7: cost 13 inf + 47688
1554042641.307 * * [simplify]: Extracting #8: cost 0 inf + 58844
1554042641.320 * * [simplify]: Extracting #9: cost 0 inf + 58170
1554042641.332 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
1554042641.332 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))
1554042641.332 * * * * [progress]: [ 142 / 189 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (/ 1 (sqrt k)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (/ 1 (sqrt k))))))>
1554042641.332 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (/ 1 (sqrt k))))
1554042641.332 * * [simplify]: iters left: 6 (15 enodes)
1554042641.337 * * [simplify]: iters left: 5 (64 enodes)
1554042641.349 * * [simplify]: iters left: 4 (104 enodes)
1554042641.380 * * [simplify]: iters left: 3 (167 enodes)
1554042641.445 * * [simplify]: iters left: 2 (322 enodes)
1554042641.538 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042641.538 * * [simplify]: Extracting #1: cost 34 inf + 0
1554042641.539 * * [simplify]: Extracting #2: cost 104 inf + 0
1554042641.539 * * [simplify]: Extracting #3: cost 158 inf + 2
1554042641.540 * * [simplify]: Extracting #4: cost 169 inf + 181
1554042641.541 * * [simplify]: Extracting #5: cost 141 inf + 4364
1554042641.544 * * [simplify]: Extracting #6: cost 78 inf + 17501
1554042641.552 * * [simplify]: Extracting #7: cost 14 inf + 62083
1554042641.563 * * [simplify]: Extracting #8: cost 0 inf + 73201
1554042641.574 * * [simplify]: Extracting #9: cost 0 inf + 72808
1554042641.584 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (/ 1 (sqrt k))))
1554042641.584 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (/ 1 (sqrt k)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (/ 1 (sqrt k))))))
1554042641.585 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (/ 1 (sqrt k))))
1554042641.585 * * [simplify]: iters left: 6 (15 enodes)
1554042641.589 * * [simplify]: iters left: 5 (64 enodes)
1554042641.610 * * [simplify]: iters left: 4 (104 enodes)
1554042641.642 * * [simplify]: iters left: 3 (167 enodes)
1554042641.675 * * [simplify]: iters left: 2 (322 enodes)
1554042641.783 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042641.783 * * [simplify]: Extracting #1: cost 34 inf + 0
1554042641.783 * * [simplify]: Extracting #2: cost 104 inf + 0
1554042641.783 * * [simplify]: Extracting #3: cost 158 inf + 2
1554042641.784 * * [simplify]: Extracting #4: cost 169 inf + 181
1554042641.785 * * [simplify]: Extracting #5: cost 141 inf + 4364
1554042641.788 * * [simplify]: Extracting #6: cost 78 inf + 17501
1554042641.800 * * [simplify]: Extracting #7: cost 14 inf + 62083
1554042641.825 * * [simplify]: Extracting #8: cost 0 inf + 73201
1554042641.837 * * [simplify]: Extracting #9: cost 0 inf + 72808
1554042641.848 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (/ 1 (sqrt k))))
1554042641.848 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (/ 1 (sqrt k)))) (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (/ 1 (sqrt k))))))
1554042641.848 * * * * [progress]: [ 143 / 189 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k))))))>
1554042641.848 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k))))
1554042641.848 * * [simplify]: iters left: 6 (16 enodes)
1554042641.854 * * [simplify]: iters left: 5 (69 enodes)
1554042641.869 * * [simplify]: iters left: 4 (113 enodes)
1554042641.902 * * [simplify]: iters left: 3 (191 enodes)
1554042641.958 * * [simplify]: iters left: 2 (381 enodes)
1554042642.376 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042642.376 * * [simplify]: Extracting #1: cost 36 inf + 0
1554042642.377 * * [simplify]: Extracting #2: cost 108 inf + 1
1554042642.378 * * [simplify]: Extracting #3: cost 166 inf + 2
1554042642.379 * * [simplify]: Extracting #4: cost 169 inf + 515
1554042642.383 * * [simplify]: Extracting #5: cost 113 inf + 8876
1554042642.394 * * [simplify]: Extracting #6: cost 32 inf + 47645
1554042642.417 * * [simplify]: Extracting #7: cost 1 inf + 73967
1554042642.440 * * [simplify]: Extracting #8: cost 0 inf + 74565
1554042642.463 * * [simplify]: Extracting #9: cost 0 inf + 74525
1554042642.486 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k)))
1554042642.486 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k))))))
1554042642.486 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k))))
1554042642.487 * * [simplify]: iters left: 6 (16 enodes)
1554042642.497 * * [simplify]: iters left: 5 (69 enodes)
1554042642.520 * * [simplify]: iters left: 4 (113 enodes)
1554042642.561 * * [simplify]: iters left: 3 (191 enodes)
1554042642.626 * * [simplify]: iters left: 2 (381 enodes)
1554042642.747 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042642.748 * * [simplify]: Extracting #1: cost 36 inf + 0
1554042642.748 * * [simplify]: Extracting #2: cost 108 inf + 1
1554042642.749 * * [simplify]: Extracting #3: cost 166 inf + 2
1554042642.749 * * [simplify]: Extracting #4: cost 169 inf + 515
1554042642.754 * * [simplify]: Extracting #5: cost 113 inf + 8876
1554042642.761 * * [simplify]: Extracting #6: cost 32 inf + 47645
1554042642.779 * * [simplify]: Extracting #7: cost 1 inf + 73967
1554042642.801 * * [simplify]: Extracting #8: cost 0 inf + 74565
1554042642.822 * * [simplify]: Extracting #9: cost 0 inf + 74525
1554042642.841 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k)))
1554042642.842 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k)))))
1554042642.842 * * * * [progress]: [ 144 / 189 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k))))))>
1554042642.842 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k))))
1554042642.842 * * [simplify]: iters left: 6 (16 enodes)
1554042642.850 * * [simplify]: iters left: 5 (69 enodes)
1554042642.862 * * [simplify]: iters left: 4 (113 enodes)
1554042642.892 * * [simplify]: iters left: 3 (191 enodes)
1554042642.942 * * [simplify]: iters left: 2 (381 enodes)
1554042643.067 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042643.068 * * [simplify]: Extracting #1: cost 36 inf + 0
1554042643.068 * * [simplify]: Extracting #2: cost 108 inf + 1
1554042643.069 * * [simplify]: Extracting #3: cost 166 inf + 2
1554042643.069 * * [simplify]: Extracting #4: cost 169 inf + 515
1554042643.071 * * [simplify]: Extracting #5: cost 113 inf + 8876
1554042643.083 * * [simplify]: Extracting #6: cost 32 inf + 47645
1554042643.105 * * [simplify]: Extracting #7: cost 1 inf + 73967
1554042643.116 * * [simplify]: Extracting #8: cost 0 inf + 74565
1554042643.128 * * [simplify]: Extracting #9: cost 0 inf + 74525
1554042643.139 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k)))
1554042643.139 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k))))))
1554042643.139 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k))))
1554042643.140 * * [simplify]: iters left: 6 (16 enodes)
1554042643.149 * * [simplify]: iters left: 5 (69 enodes)
1554042643.169 * * [simplify]: iters left: 4 (113 enodes)
1554042643.197 * * [simplify]: iters left: 3 (191 enodes)
1554042643.239 * * [simplify]: iters left: 2 (381 enodes)
1554042643.369 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042643.370 * * [simplify]: Extracting #1: cost 36 inf + 0
1554042643.370 * * [simplify]: Extracting #2: cost 108 inf + 1
1554042643.371 * * [simplify]: Extracting #3: cost 166 inf + 2
1554042643.371 * * [simplify]: Extracting #4: cost 169 inf + 515
1554042643.374 * * [simplify]: Extracting #5: cost 113 inf + 8876
1554042643.380 * * [simplify]: Extracting #6: cost 32 inf + 47645
1554042643.392 * * [simplify]: Extracting #7: cost 1 inf + 73967
1554042643.411 * * [simplify]: Extracting #8: cost 0 inf + 74565
1554042643.431 * * [simplify]: Extracting #9: cost 0 inf + 74525
1554042643.455 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k)))
1554042643.455 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k)))))
1554042643.455 * * * * [progress]: [ 145 / 189 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k))))))>
1554042643.455 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k))))
1554042643.455 * * [simplify]: iters left: 6 (15 enodes)
1554042643.463 * * [simplify]: iters left: 5 (66 enodes)
1554042643.484 * * [simplify]: iters left: 4 (112 enodes)
1554042643.521 * * [simplify]: iters left: 3 (196 enodes)
1554042643.599 * * [simplify]: iters left: 2 (392 enodes)
1554042643.798 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042643.798 * * [simplify]: Extracting #1: cost 39 inf + 0
1554042643.799 * * [simplify]: Extracting #2: cost 125 inf + 1
1554042643.800 * * [simplify]: Extracting #3: cost 179 inf + 3
1554042643.802 * * [simplify]: Extracting #4: cost 183 inf + 349
1554042643.806 * * [simplify]: Extracting #5: cost 137 inf + 7229
1554042643.821 * * [simplify]: Extracting #6: cost 62 inf + 37166
1554042643.847 * * [simplify]: Extracting #7: cost 3 inf + 82288
1554042643.874 * * [simplify]: Extracting #8: cost 0 inf + 84912
1554042643.902 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k)))
1554042643.902 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k))))))
1554042643.902 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k))))
1554042643.902 * * [simplify]: iters left: 6 (15 enodes)
1554042643.907 * * [simplify]: iters left: 5 (66 enodes)
1554042643.919 * * [simplify]: iters left: 4 (112 enodes)
1554042643.952 * * [simplify]: iters left: 3 (196 enodes)
1554042644.016 * * [simplify]: iters left: 2 (392 enodes)
1554042644.198 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042644.199 * * [simplify]: Extracting #1: cost 39 inf + 0
1554042644.199 * * [simplify]: Extracting #2: cost 125 inf + 1
1554042644.201 * * [simplify]: Extracting #3: cost 179 inf + 3
1554042644.202 * * [simplify]: Extracting #4: cost 183 inf + 349
1554042644.205 * * [simplify]: Extracting #5: cost 137 inf + 7229
1554042644.211 * * [simplify]: Extracting #6: cost 62 inf + 37166
1554042644.224 * * [simplify]: Extracting #7: cost 3 inf + 82288
1554042644.238 * * [simplify]: Extracting #8: cost 0 inf + 84912
1554042644.254 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k)))
1554042644.254 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k)))))
1554042644.254 * * * * [progress]: [ 146 / 189 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k))))))>
1554042644.254 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k))))
1554042644.255 * * [simplify]: iters left: 6 (15 enodes)
1554042644.261 * * [simplify]: iters left: 5 (66 enodes)
1554042644.277 * * [simplify]: iters left: 4 (112 enodes)
1554042644.299 * * [simplify]: iters left: 3 (196 enodes)
1554042644.375 * * [simplify]: iters left: 2 (392 enodes)
1554042644.564 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042644.564 * * [simplify]: Extracting #1: cost 39 inf + 0
1554042644.565 * * [simplify]: Extracting #2: cost 125 inf + 1
1554042644.566 * * [simplify]: Extracting #3: cost 179 inf + 3
1554042644.568 * * [simplify]: Extracting #4: cost 183 inf + 349
1554042644.571 * * [simplify]: Extracting #5: cost 137 inf + 7229
1554042644.586 * * [simplify]: Extracting #6: cost 62 inf + 37166
1554042644.610 * * [simplify]: Extracting #7: cost 3 inf + 82288
1554042644.638 * * [simplify]: Extracting #8: cost 0 inf + 84912
1554042644.665 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k)))
1554042644.666 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k))))))
1554042644.666 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k))))
1554042644.666 * * [simplify]: iters left: 6 (15 enodes)
1554042644.674 * * [simplify]: iters left: 5 (66 enodes)
1554042644.687 * * [simplify]: iters left: 4 (112 enodes)
1554042644.711 * * [simplify]: iters left: 3 (196 enodes)
1554042644.765 * * [simplify]: iters left: 2 (392 enodes)
1554042644.914 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042644.914 * * [simplify]: Extracting #1: cost 39 inf + 0
1554042644.914 * * [simplify]: Extracting #2: cost 125 inf + 1
1554042644.915 * * [simplify]: Extracting #3: cost 179 inf + 3
1554042644.916 * * [simplify]: Extracting #4: cost 183 inf + 349
1554042644.918 * * [simplify]: Extracting #5: cost 137 inf + 7229
1554042644.924 * * [simplify]: Extracting #6: cost 62 inf + 37166
1554042644.937 * * [simplify]: Extracting #7: cost 3 inf + 82288
1554042644.951 * * [simplify]: Extracting #8: cost 0 inf + 84912
1554042644.966 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k)))
1554042644.966 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k)))))
1554042644.967 * * * * [progress]: [ 147 / 189 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k))))) (cbrt (/ 1 (sqrt k)))))>
1554042644.967 * [simplify]: Simplifying (cbrt (/ 1 (sqrt k)))
1554042644.967 * * [simplify]: iters left: 4 (5 enodes)
1554042644.973 * * [simplify]: iters left: 3 (17 enodes)
1554042644.980 * * [simplify]: iters left: 2 (19 enodes)
1554042644.985 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042644.986 * * [simplify]: Extracting #1: cost 3 inf + 0
1554042644.986 * * [simplify]: Extracting #2: cost 6 inf + 0
1554042644.986 * * [simplify]: Extracting #3: cost 7 inf + 1
1554042644.986 * * [simplify]: Extracting #4: cost 0 inf + 572
1554042644.986 * [simplify]: Simplified to (cbrt (/ 1 (sqrt k)))
1554042644.986 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k))))) (cbrt (/ 1 (sqrt k)))))
1554042644.986 * * * * [progress]: [ 148 / 189 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (/ 1 (sqrt k)))) (sqrt (/ 1 (sqrt k)))))>
1554042644.987 * [simplify]: Simplifying (sqrt (/ 1 (sqrt k)))
1554042644.987 * * [simplify]: iters left: 4 (5 enodes)
1554042644.989 * * [simplify]: iters left: 3 (17 enodes)
1554042644.995 * * [simplify]: iters left: 2 (19 enodes)
1554042645.001 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042645.001 * * [simplify]: Extracting #1: cost 3 inf + 0
1554042645.001 * * [simplify]: Extracting #2: cost 6 inf + 0
1554042645.001 * * [simplify]: Extracting #3: cost 7 inf + 1
1554042645.001 * * [simplify]: Extracting #4: cost 0 inf + 492
1554042645.001 * [simplify]: Simplified to (sqrt (/ 1 (sqrt k)))
1554042645.001 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (/ 1 (sqrt k)))) (sqrt (/ 1 (sqrt k)))))
1554042645.002 * * * * [progress]: [ 149 / 189 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt 1) (cbrt (sqrt k)))))>
1554042645.002 * [simplify]: Simplifying (/ (cbrt 1) (cbrt (sqrt k)))
1554042645.002 * * [simplify]: iters left: 4 (6 enodes)
1554042645.006 * * [simplify]: iters left: 3 (20 enodes)
1554042645.012 * * [simplify]: iters left: 2 (22 enodes)
1554042645.019 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042645.019 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042645.019 * * [simplify]: Extracting #2: cost 5 inf + 1
1554042645.019 * * [simplify]: Extracting #3: cost 7 inf + 1
1554042645.019 * * [simplify]: Extracting #4: cost 1 inf + 488
1554042645.019 * * [simplify]: Extracting #5: cost 0 inf + 650
1554042645.020 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k)))
1554042645.020 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ 1 (cbrt (sqrt k)))))
1554042645.020 * * * * [progress]: [ 150 / 189 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k))))) (/ (cbrt 1) (sqrt (cbrt k)))))>
1554042645.020 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (cbrt k)))
1554042645.020 * * [simplify]: iters left: 4 (6 enodes)
1554042645.024 * * [simplify]: iters left: 3 (20 enodes)
1554042645.030 * * [simplify]: iters left: 2 (22 enodes)
1554042645.036 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042645.036 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042645.036 * * [simplify]: Extracting #2: cost 5 inf + 1
1554042645.036 * * [simplify]: Extracting #3: cost 7 inf + 1
1554042645.036 * * [simplify]: Extracting #4: cost 1 inf + 568
1554042645.036 * * [simplify]: Extracting #5: cost 0 inf + 730
1554042645.037 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k)))
1554042645.037 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k))))) (/ 1 (sqrt (cbrt k)))))
1554042645.037 * * * * [progress]: [ 151 / 189 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k)))) (/ (cbrt 1) (sqrt (sqrt k)))))>
1554042645.037 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt k)))
1554042645.037 * * [simplify]: iters left: 4 (6 enodes)
1554042645.042 * * [simplify]: iters left: 3 (20 enodes)
1554042645.048 * * [simplify]: iters left: 2 (22 enodes)
1554042645.054 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042645.054 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042645.054 * * [simplify]: Extracting #2: cost 5 inf + 1
1554042645.054 * * [simplify]: Extracting #3: cost 7 inf + 1
1554042645.054 * * [simplify]: Extracting #4: cost 1 inf + 368
1554042645.055 * * [simplify]: Extracting #5: cost 0 inf + 490
1554042645.055 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k)))
1554042645.055 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k)))))
1554042645.055 * * * * [progress]: [ 152 / 189 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (* (cbrt 1) (cbrt 1)) (sqrt 1))) (/ (cbrt 1) (sqrt k))))>
1554042645.055 * [simplify]: Simplifying (/ (cbrt 1) (sqrt k))
1554042645.055 * * [simplify]: iters left: 3 (5 enodes)
1554042645.060 * * [simplify]: iters left: 2 (17 enodes)
1554042645.065 * * [simplify]: iters left: 1 (19 enodes)
1554042645.070 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042645.070 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042645.070 * * [simplify]: Extracting #2: cost 5 inf + 1
1554042645.070 * * [simplify]: Extracting #3: cost 0 inf + 248
1554042645.071 * [simplify]: Simplified to (/ 1 (sqrt k))
1554042645.071 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (* (cbrt 1) (cbrt 1)) (sqrt 1))) (/ 1 (sqrt k))))
1554042645.071 * * * * [progress]: [ 153 / 189 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k)))) (/ (cbrt 1) (sqrt (sqrt k)))))>
1554042645.071 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt k)))
1554042645.071 * * [simplify]: iters left: 4 (6 enodes)
1554042645.074 * * [simplify]: iters left: 3 (20 enodes)
1554042645.077 * * [simplify]: iters left: 2 (22 enodes)
1554042645.080 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042645.080 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042645.080 * * [simplify]: Extracting #2: cost 5 inf + 1
1554042645.080 * * [simplify]: Extracting #3: cost 7 inf + 1
1554042645.080 * * [simplify]: Extracting #4: cost 1 inf + 368
1554042645.080 * * [simplify]: Extracting #5: cost 0 inf + 490
1554042645.081 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k)))
1554042645.081 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k)))))
1554042645.081 * * * * [progress]: [ 154 / 189 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (cbrt 1) (sqrt k))))>
1554042645.081 * [simplify]: Simplifying (/ (cbrt 1) (sqrt k))
1554042645.081 * * [simplify]: iters left: 3 (5 enodes)
1554042645.083 * * [simplify]: iters left: 2 (17 enodes)
1554042645.086 * * [simplify]: iters left: 1 (19 enodes)
1554042645.089 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042645.089 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042645.089 * * [simplify]: Extracting #2: cost 5 inf + 1
1554042645.089 * * [simplify]: Extracting #3: cost 0 inf + 248
1554042645.089 * [simplify]: Simplified to (/ 1 (sqrt k))
1554042645.089 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ 1 (sqrt k))))
1554042645.089 * * * * [progress]: [ 155 / 189 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt 1) (cbrt (sqrt k)))))>
1554042645.089 * [simplify]: Simplifying (/ (sqrt 1) (cbrt (sqrt k)))
1554042645.089 * * [simplify]: iters left: 4 (6 enodes)
1554042645.091 * * [simplify]: iters left: 3 (20 enodes)
1554042645.094 * * [simplify]: iters left: 2 (22 enodes)
1554042645.098 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042645.098 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042645.098 * * [simplify]: Extracting #2: cost 5 inf + 1
1554042645.098 * * [simplify]: Extracting #3: cost 7 inf + 1
1554042645.098 * * [simplify]: Extracting #4: cost 1 inf + 488
1554042645.098 * * [simplify]: Extracting #5: cost 0 inf + 650
1554042645.098 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k)))
1554042645.098 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ 1 (cbrt (sqrt k)))))
1554042645.098 * * * * [progress]: [ 156 / 189 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt 1) (sqrt (cbrt k)))))>
1554042645.098 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (cbrt k)))
1554042645.098 * * [simplify]: iters left: 4 (6 enodes)
1554042645.101 * * [simplify]: iters left: 3 (20 enodes)
1554042645.104 * * [simplify]: iters left: 2 (22 enodes)
1554042645.109 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042645.109 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042645.109 * * [simplify]: Extracting #2: cost 5 inf + 1
1554042645.109 * * [simplify]: Extracting #3: cost 7 inf + 1
1554042645.109 * * [simplify]: Extracting #4: cost 1 inf + 568
1554042645.109 * * [simplify]: Extracting #5: cost 0 inf + 730
1554042645.109 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k)))
1554042645.109 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k))))) (/ 1 (sqrt (cbrt k)))))
1554042645.109 * * * * [progress]: [ 157 / 189 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) (/ (sqrt 1) (sqrt (sqrt k)))))>
1554042645.110 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k)))
1554042645.110 * * [simplify]: iters left: 4 (6 enodes)
1554042645.112 * * [simplify]: iters left: 3 (20 enodes)
1554042645.115 * * [simplify]: iters left: 2 (22 enodes)
1554042645.118 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042645.118 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042645.118 * * [simplify]: Extracting #2: cost 5 inf + 1
1554042645.119 * * [simplify]: Extracting #3: cost 7 inf + 1
1554042645.119 * * [simplify]: Extracting #4: cost 1 inf + 368
1554042645.119 * * [simplify]: Extracting #5: cost 0 inf + 490
1554042645.119 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k)))
1554042645.119 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k)))))
1554042645.119 * * * * [progress]: [ 158 / 189 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (sqrt 1) (sqrt 1))) (/ (sqrt 1) (sqrt k))))>
1554042645.119 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k))
1554042645.119 * * [simplify]: iters left: 3 (5 enodes)
1554042645.122 * * [simplify]: iters left: 2 (17 enodes)
1554042645.124 * * [simplify]: iters left: 1 (19 enodes)
1554042645.127 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042645.127 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042645.127 * * [simplify]: Extracting #2: cost 5 inf + 1
1554042645.127 * * [simplify]: Extracting #3: cost 0 inf + 248
1554042645.127 * [simplify]: Simplified to (/ 1 (sqrt k))
1554042645.127 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (sqrt 1) (sqrt 1))) (/ 1 (sqrt k))))
1554042645.127 * * * * [progress]: [ 159 / 189 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) (/ (sqrt 1) (sqrt (sqrt k)))))>
1554042645.128 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k)))
1554042645.128 * * [simplify]: iters left: 4 (6 enodes)
1554042645.130 * * [simplify]: iters left: 3 (20 enodes)
1554042645.133 * * [simplify]: iters left: 2 (22 enodes)
1554042645.136 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042645.136 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042645.136 * * [simplify]: Extracting #2: cost 5 inf + 1
1554042645.136 * * [simplify]: Extracting #3: cost 7 inf + 1
1554042645.136 * * [simplify]: Extracting #4: cost 1 inf + 368
1554042645.136 * * [simplify]: Extracting #5: cost 0 inf + 490
1554042645.137 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k)))
1554042645.137 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k)))))
1554042645.137 * * * * [progress]: [ 160 / 189 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (sqrt 1) 1)) (/ (sqrt 1) (sqrt k))))>
1554042645.137 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k))
1554042645.137 * * [simplify]: iters left: 3 (5 enodes)
1554042645.139 * * [simplify]: iters left: 2 (17 enodes)
1554042645.143 * * [simplify]: iters left: 1 (19 enodes)
1554042645.148 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042645.148 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042645.149 * * [simplify]: Extracting #2: cost 5 inf + 1
1554042645.149 * * [simplify]: Extracting #3: cost 0 inf + 248
1554042645.149 * [simplify]: Simplified to (/ 1 (sqrt k))
1554042645.149 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (sqrt 1) 1)) (/ 1 (sqrt k))))
1554042645.149 * * * * [progress]: [ 161 / 189 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ 1 (cbrt (sqrt k)))))>
1554042645.149 * [simplify]: Simplifying (/ 1 (cbrt (sqrt k)))
1554042645.149 * * [simplify]: iters left: 4 (5 enodes)
1554042645.152 * * [simplify]: iters left: 3 (17 enodes)
1554042645.158 * * [simplify]: iters left: 2 (19 enodes)
1554042645.164 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042645.164 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042645.164 * * [simplify]: Extracting #2: cost 5 inf + 1
1554042645.164 * * [simplify]: Extracting #3: cost 7 inf + 1
1554042645.164 * * [simplify]: Extracting #4: cost 0 inf + 650
1554042645.164 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k)))
1554042645.164 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ 1 (cbrt (sqrt k)))))
1554042645.165 * * * * [progress]: [ 162 / 189 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt (* (cbrt k) (cbrt k))))) (/ 1 (sqrt (cbrt k)))))>
1554042645.165 * [simplify]: Simplifying (/ 1 (sqrt (cbrt k)))
1554042645.165 * * [simplify]: iters left: 4 (5 enodes)
1554042645.168 * * [simplify]: iters left: 3 (17 enodes)
1554042645.171 * * [simplify]: iters left: 2 (19 enodes)
1554042645.174 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042645.174 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042645.174 * * [simplify]: Extracting #2: cost 5 inf + 1
1554042645.174 * * [simplify]: Extracting #3: cost 7 inf + 1
1554042645.174 * * [simplify]: Extracting #4: cost 0 inf + 730
1554042645.174 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k)))
1554042645.174 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt (* (cbrt k) (cbrt k))))) (/ 1 (sqrt (cbrt k)))))
1554042645.174 * * * * [progress]: [ 163 / 189 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k)))))>
1554042645.175 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k)))
1554042645.175 * * [simplify]: iters left: 4 (5 enodes)
1554042645.176 * * [simplify]: iters left: 3 (17 enodes)
1554042645.179 * * [simplify]: iters left: 2 (19 enodes)
1554042645.182 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042645.182 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042645.182 * * [simplify]: Extracting #2: cost 5 inf + 1
1554042645.182 * * [simplify]: Extracting #3: cost 7 inf + 1
1554042645.182 * * [simplify]: Extracting #4: cost 0 inf + 490
1554042645.182 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k)))
1554042645.182 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k)))))
1554042645.182 * * * * [progress]: [ 164 / 189 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt 1))) (/ 1 (sqrt k))))>
1554042645.183 * [simplify]: Simplifying (/ 1 (sqrt k))
1554042645.183 * * [simplify]: iters left: 3 (4 enodes)
1554042645.184 * * [simplify]: iters left: 2 (14 enodes)
1554042645.186 * * [simplify]: iters left: 1 (16 enodes)
1554042645.189 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042645.189 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042645.189 * * [simplify]: Extracting #2: cost 5 inf + 1
1554042645.189 * * [simplify]: Extracting #3: cost 3 inf + 43
1554042645.189 * * [simplify]: Extracting #4: cost 1 inf + 166
1554042645.189 * * [simplify]: Extracting #5: cost 0 inf + 248
1554042645.189 * [simplify]: Simplified to (/ 1 (sqrt k))
1554042645.189 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt 1))) (/ 1 (sqrt k))))
1554042645.189 * * * * [progress]: [ 165 / 189 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k)))))>
1554042645.190 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k)))
1554042645.190 * * [simplify]: iters left: 4 (5 enodes)
1554042645.191 * * [simplify]: iters left: 3 (17 enodes)
1554042645.194 * * [simplify]: iters left: 2 (19 enodes)
1554042645.197 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042645.197 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042645.197 * * [simplify]: Extracting #2: cost 5 inf + 1
1554042645.197 * * [simplify]: Extracting #3: cost 7 inf + 1
1554042645.197 * * [simplify]: Extracting #4: cost 0 inf + 490
1554042645.197 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k)))
1554042645.197 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k)))))
1554042645.197 * * * * [progress]: [ 166 / 189 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 1)) (/ 1 (sqrt k))))>
1554042645.198 * [simplify]: Simplifying (/ 1 (sqrt k))
1554042645.198 * * [simplify]: iters left: 3 (4 enodes)
1554042645.200 * * [simplify]: iters left: 2 (14 enodes)
1554042645.205 * * [simplify]: iters left: 1 (16 enodes)
1554042645.209 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042645.210 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042645.210 * * [simplify]: Extracting #2: cost 5 inf + 1
1554042645.210 * * [simplify]: Extracting #3: cost 3 inf + 43
1554042645.210 * * [simplify]: Extracting #4: cost 1 inf + 166
1554042645.210 * * [simplify]: Extracting #5: cost 0 inf + 248
1554042645.210 * [simplify]: Simplified to (/ 1 (sqrt k))
1554042645.210 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 1)) (/ 1 (sqrt k))))
1554042645.210 * * * * [progress]: [ 167 / 189 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (/ 1 (sqrt k))))>
1554042645.211 * [simplify]: Simplifying (/ 1 (sqrt k))
1554042645.211 * * [simplify]: iters left: 3 (4 enodes)
1554042645.213 * * [simplify]: iters left: 2 (14 enodes)
1554042645.215 * * [simplify]: iters left: 1 (16 enodes)
1554042645.219 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042645.219 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042645.219 * * [simplify]: Extracting #2: cost 5 inf + 1
1554042645.219 * * [simplify]: Extracting #3: cost 3 inf + 43
1554042645.219 * * [simplify]: Extracting #4: cost 1 inf + 166
1554042645.219 * * [simplify]: Extracting #5: cost 0 inf + 248
1554042645.219 * [simplify]: Simplified to (/ 1 (sqrt k))
1554042645.219 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (/ 1 (sqrt k))))
1554042645.219 * * * * [progress]: [ 168 / 189 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (/ 1 (sqrt k))))>
1554042645.219 * [simplify]: Simplifying (/ 1 (sqrt k))
1554042645.219 * * [simplify]: iters left: 3 (4 enodes)
1554042645.221 * * [simplify]: iters left: 2 (14 enodes)
1554042645.223 * * [simplify]: iters left: 1 (16 enodes)
1554042645.225 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042645.225 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042645.225 * * [simplify]: Extracting #2: cost 5 inf + 1
1554042645.226 * * [simplify]: Extracting #3: cost 3 inf + 43
1554042645.226 * * [simplify]: Extracting #4: cost 1 inf + 166
1554042645.226 * * [simplify]: Extracting #5: cost 0 inf + 248
1554042645.226 * [simplify]: Simplified to (/ 1 (sqrt k))
1554042645.226 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (/ 1 (sqrt k))))
1554042645.226 * * * * [progress]: [ 169 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow n (/ (- 1 k) 2)) (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ 1 (sqrt k)))))>
1554042645.226 * [simplify]: Simplifying (pow n (/ (- 1 k) 2))
1554042645.226 * * [simplify]: iters left: 5 (7 enodes)
1554042645.229 * * [simplify]: iters left: 4 (32 enodes)
1554042645.235 * * [simplify]: iters left: 3 (57 enodes)
1554042645.248 * * [simplify]: iters left: 2 (88 enodes)
1554042645.279 * * [simplify]: iters left: 1 (156 enodes)
1554042645.330 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042645.330 * * [simplify]: Extracting #1: cost 13 inf + 0
1554042645.330 * * [simplify]: Extracting #2: cost 49 inf + 2
1554042645.330 * * [simplify]: Extracting #3: cost 80 inf + 6
1554042645.331 * * [simplify]: Extracting #4: cost 58 inf + 1840
1554042645.335 * * [simplify]: Extracting #5: cost 22 inf + 9206
1554042645.340 * * [simplify]: Extracting #6: cost 1 inf + 20886
1554042645.346 * * [simplify]: Extracting #7: cost 0 inf + 21301
1554042645.352 * * [simplify]: Extracting #8: cost 0 inf + 21130
1554042645.358 * [simplify]: Simplified to (pow n (/ (- 1 k) 2))
1554042645.358 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ 1 (sqrt k)))))
1554042645.358 * * * * [progress]: [ 170 / 189 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt k)))))>
1554042645.359 * [simplify]: Simplifying (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))
1554042645.359 * * [simplify]: iters left: 6 (12 enodes)
1554042645.365 * * [simplify]: iters left: 5 (51 enodes)
1554042645.374 * * [simplify]: iters left: 4 (84 enodes)
1554042645.388 * * [simplify]: iters left: 3 (125 enodes)
1554042645.414 * * [simplify]: iters left: 2 (198 enodes)
1554042645.467 * * [simplify]: iters left: 1 (353 enodes)
1554042645.616 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042645.616 * * [simplify]: Extracting #1: cost 3 inf + 0
1554042645.616 * * [simplify]: Extracting #2: cost 5 inf + 0
1554042645.616 * * [simplify]: Extracting #3: cost 28 inf + 0
1554042645.616 * * [simplify]: Extracting #4: cost 101 inf + 1
1554042645.617 * * [simplify]: Extracting #5: cost 136 inf + 176
1554042645.619 * * [simplify]: Extracting #6: cost 127 inf + 1730
1554042645.623 * * [simplify]: Extracting #7: cost 68 inf + 14428
1554042645.642 * * [simplify]: Extracting #8: cost 24 inf + 38979
1554042645.663 * * [simplify]: Extracting #9: cost 0 inf + 59741
1554042645.680 * * [simplify]: Extracting #10: cost 0 inf + 57850
1554042645.691 * * [simplify]: Extracting #11: cost 0 inf + 57436
1554042645.702 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))))
1554042645.702 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt k)))))
1554042645.702 * * * * [progress]: [ 171 / 189 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt k)))))>
1554042645.703 * [simplify]: Simplifying (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))
1554042645.703 * * [simplify]: iters left: 6 (11 enodes)
1554042645.707 * * [simplify]: iters left: 5 (48 enodes)
1554042645.724 * * [simplify]: iters left: 4 (78 enodes)
1554042645.750 * * [simplify]: iters left: 3 (120 enodes)
1554042645.780 * * [simplify]: iters left: 2 (211 enodes)
1554042645.840 * * [simplify]: iters left: 1 (378 enodes)
1554042645.981 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042645.981 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042645.981 * * [simplify]: Extracting #2: cost 28 inf + 0
1554042645.982 * * [simplify]: Extracting #3: cost 111 inf + 1
1554042645.983 * * [simplify]: Extracting #4: cost 151 inf + 220
1554042645.985 * * [simplify]: Extracting #5: cost 149 inf + 601
1554042645.987 * * [simplify]: Extracting #6: cost 109 inf + 5630
1554042645.995 * * [simplify]: Extracting #7: cost 43 inf + 25793
1554042646.012 * * [simplify]: Extracting #8: cost 5 inf + 52343
1554042646.034 * * [simplify]: Extracting #9: cost 0 inf + 56629
1554042646.055 * * [simplify]: Extracting #10: cost 0 inf + 55972
1554042646.075 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
1554042646.075 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt k)))))
1554042646.075 * * * * [progress]: [ 172 / 189 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))))>
1554042646.075 * * * * [progress]: [ 173 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt k)))))>
1554042646.075 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))
1554042646.075 * * [simplify]: iters left: 6 (11 enodes)
1554042646.079 * * [simplify]: iters left: 5 (51 enodes)
1554042646.089 * * [simplify]: iters left: 4 (87 enodes)
1554042646.109 * * [simplify]: iters left: 3 (143 enodes)
1554042646.162 * * [simplify]: iters left: 2 (259 enodes)
1554042646.223 * * [simplify]: iters left: 1 (467 enodes)
1554042646.478 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042646.478 * * [simplify]: Extracting #1: cost 23 inf + 0
1554042646.478 * * [simplify]: Extracting #2: cost 99 inf + 1
1554042646.479 * * [simplify]: Extracting #3: cost 180 inf + 178
1554042646.480 * * [simplify]: Extracting #4: cost 162 inf + 2505
1554042646.483 * * [simplify]: Extracting #5: cost 78 inf + 12096
1554042646.489 * * [simplify]: Extracting #6: cost 33 inf + 29460
1554042646.499 * * [simplify]: Extracting #7: cost 1 inf + 56926
1554042646.510 * * [simplify]: Extracting #8: cost 0 inf + 57804
1554042646.527 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/4 (- 1 k)))
1554042646.527 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt k)))))
1554042646.528 * * * * [progress]: [ 174 / 189 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (sqrt k)))>
1554042646.528 * [simplify]: Simplifying (sqrt k)
1554042646.528 * * [simplify]: iters left: 1 (2 enodes)
1554042646.529 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042646.529 * * [simplify]: Extracting #1: cost 3 inf + 0
1554042646.529 * * [simplify]: Extracting #2: cost 2 inf + 1
1554042646.529 * * [simplify]: Extracting #3: cost 0 inf + 83
1554042646.529 * [simplify]: Simplified to (sqrt k)
1554042646.529 * [simplify]: Simplified (2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (sqrt k)))
1554042646.530 * * * * [progress]: [ 175 / 189 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ 1 2)) (/ 1 (sqrt k))) (pow (* n (* 2 PI)) (/ k 2))))>
1554042646.530 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ 1 2)) (/ 1 (sqrt k)))
1554042646.530 * * [simplify]: iters left: 6 (12 enodes)
1554042646.538 * * [simplify]: iters left: 5 (50 enodes)
1554042646.548 * * [simplify]: iters left: 4 (88 enodes)
1554042646.571 * * [simplify]: iters left: 3 (169 enodes)
1554042646.631 * * [simplify]: iters left: 2 (291 enodes)
1554042646.767 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042646.767 * * [simplify]: Extracting #1: cost 31 inf + 0
1554042646.768 * * [simplify]: Extracting #2: cost 95 inf + 1
1554042646.769 * * [simplify]: Extracting #3: cost 95 inf + 50
1554042646.770 * * [simplify]: Extracting #4: cost 85 inf + 844
1554042646.774 * * [simplify]: Extracting #5: cost 34 inf + 22508
1554042646.786 * * [simplify]: Extracting #6: cost 0 inf + 45097
1554042646.799 * * [simplify]: Extracting #7: cost 0 inf + 44362
1554042646.811 * [simplify]: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt k))
1554042646.811 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (sqrt (* (* PI 2) n)) (sqrt k)) (pow (* n (* 2 PI)) (/ k 2))))
1554042646.811 * * * * [progress]: [ 176 / 189 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k))))))>
1554042646.811 * * * * [progress]: [ 177 / 189 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))>
1554042646.812 * * * * [progress]: [ 178 / 189 ] simplifiying candidate #<alt (λ (k n) (* (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))))) (/ 1 (sqrt k))))>
1554042646.812 * [simplify]: Simplifying (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)))))
1554042646.812 * * [simplify]: iters left: 6 (37 enodes)
1554042646.835 * * [simplify]: iters left: 5 (187 enodes)
1554042646.895 * * [simplify]: iters left: 4 (488 enodes)
1554042647.116 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042647.117 * * [simplify]: Extracting #1: cost 57 inf + 0
1554042647.117 * * [simplify]: Extracting #2: cost 294 inf + 0
1554042647.119 * * [simplify]: Extracting #3: cost 524 inf + 199
1554042647.123 * * [simplify]: Extracting #4: cost 512 inf + 6095
1554042647.146 * * [simplify]: Extracting #5: cost 310 inf + 78036
1554042647.215 * * [simplify]: Extracting #6: cost 40 inf + 220622
1554042647.275 * * [simplify]: Extracting #7: cost 0 inf + 244981
1554042647.381 * * [simplify]: Extracting #8: cost 0 inf + 243455
1554042647.458 * * [simplify]: Extracting #9: cost 0 inf + 243454
1554042647.546 * [simplify]: Simplified to (+ (* (* (* k k) 1/8) (+ (* (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (log (* PI 2))) (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) (+ (exp (* (+ (log n) (log (* PI 2))) 1/2)) (- (* (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (* k k) (* (log n) 1/4))) (* (* 1/2 k) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (+ (log n) (log (* PI 2))))))))
1554042647.546 * [simplify]: Simplified (2 1) to (λ (k n) (* (+ (* (* (* k k) 1/8) (+ (* (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (log (* PI 2))) (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) (+ (exp (* (+ (log n) (log (* PI 2))) 1/2)) (- (* (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (* k k) (* (log n) 1/4))) (* (* 1/2 k) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (+ (log n) (log (* PI 2)))))))) (/ 1 (sqrt k))))
1554042647.546 * * * * [progress]: [ 179 / 189 ] simplifiying candidate #<alt (λ (k n) (* (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (/ 1 (sqrt k))))>
1554042647.547 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
1554042647.547 * * [simplify]: iters left: 6 (15 enodes)
1554042647.552 * * [simplify]: iters left: 5 (65 enodes)
1554042647.565 * * [simplify]: iters left: 4 (123 enodes)
1554042647.596 * * [simplify]: iters left: 3 (361 enodes)
1554042647.752 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042647.752 * * [simplify]: Extracting #1: cost 37 inf + 0
1554042647.753 * * [simplify]: Extracting #2: cost 213 inf + 72
1554042647.756 * * [simplify]: Extracting #3: cost 350 inf + 1716
1554042647.765 * * [simplify]: Extracting #4: cost 221 inf + 30028
1554042647.794 * * [simplify]: Extracting #5: cost 33 inf + 78046
1554042647.825 * * [simplify]: Extracting #6: cost 1 inf + 88785
1554042647.856 * * [simplify]: Extracting #7: cost 0 inf + 88926
1554042647.888 * * [simplify]: Extracting #8: cost 0 inf + 88841
1554042647.919 * [simplify]: Simplified to (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k))))
1554042647.919 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) (/ 1 (sqrt k))))
1554042647.919 * * * * [progress]: [ 180 / 189 ] simplifiying candidate #<alt (λ (k n) (* (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (/ 1 (sqrt k))))>
1554042647.920 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
1554042647.920 * * [simplify]: iters left: 6 (16 enodes)
1554042647.932 * * [simplify]: iters left: 5 (67 enodes)
1554042647.951 * * [simplify]: iters left: 4 (134 enodes)
1554042647.983 * * [simplify]: iters left: 3 (407 enodes)
1554042648.214 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042648.214 * * [simplify]: Extracting #1: cost 39 inf + 0
1554042648.215 * * [simplify]: Extracting #2: cost 241 inf + 72
1554042648.216 * * [simplify]: Extracting #3: cost 449 inf + 888
1554042648.222 * * [simplify]: Extracting #4: cost 283 inf + 39678
1554042648.244 * * [simplify]: Extracting #5: cost 24 inf + 116942
1554042648.272 * * [simplify]: Extracting #6: cost 0 inf + 121984
1554042648.300 * * [simplify]: Extracting #7: cost 0 inf + 121983
1554042648.331 * [simplify]: Simplified to (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n)))))))
1554042648.331 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) (/ 1 (sqrt k))))
1554042648.331 * * * * [progress]: [ 181 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k))))))))>
1554042648.331 * [simplify]: Simplifying (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k))))))
1554042648.331 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) +nan.0))
1554042648.331 * * * * [progress]: [ 182 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3))))))))))>
1554042648.331 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3))))))))
1554042648.331 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) +nan.0))
1554042648.331 * * * * [progress]: [ 183 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0)))))))>
1554042648.332 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0)))))
1554042648.332 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) +nan.0))
1554042648.332 * * * * [progress]: [ 184 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k))))>
1554042648.332 * [simplify]: Simplifying (* 2 (* n PI))
1554042648.332 * * [simplify]: iters left: 4 (5 enodes)
1554042648.334 * * [simplify]: iters left: 3 (19 enodes)
1554042648.337 * * [simplify]: iters left: 2 (27 enodes)
1554042648.341 * * [simplify]: iters left: 1 (32 enodes)
1554042648.345 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042648.345 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042648.345 * * [simplify]: Extracting #2: cost 7 inf + 45
1554042648.346 * * [simplify]: Extracting #3: cost 0 inf + 421
1554042648.346 * [simplify]: Simplified to (* (* PI n) 2)
1554042648.346 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI n) 2) (/ (- 1 k) 2)) (/ 1 (sqrt k))))
1554042648.346 * * * * [progress]: [ 185 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k))))>
1554042648.346 * [simplify]: Simplifying (* 2 (* n PI))
1554042648.346 * * [simplify]: iters left: 4 (5 enodes)
1554042648.348 * * [simplify]: iters left: 3 (19 enodes)
1554042648.353 * * [simplify]: iters left: 2 (27 enodes)
1554042648.361 * * [simplify]: iters left: 1 (32 enodes)
1554042648.370 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042648.370 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042648.370 * * [simplify]: Extracting #2: cost 7 inf + 45
1554042648.370 * * [simplify]: Extracting #3: cost 0 inf + 421
1554042648.370 * [simplify]: Simplified to (* (* PI n) 2)
1554042648.370 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI n) 2) (/ (- 1 k) 2)) (/ 1 (sqrt k))))
1554042648.371 * * * * [progress]: [ 186 / 189 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k))))>
1554042648.371 * [simplify]: Simplifying (* 2 (* n PI))
1554042648.371 * * [simplify]: iters left: 4 (5 enodes)
1554042648.374 * * [simplify]: iters left: 3 (19 enodes)
1554042648.380 * * [simplify]: iters left: 2 (27 enodes)
1554042648.388 * * [simplify]: iters left: 1 (32 enodes)
1554042648.397 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042648.397 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042648.397 * * [simplify]: Extracting #2: cost 7 inf + 45
1554042648.397 * * [simplify]: Extracting #3: cost 0 inf + 421
1554042648.397 * [simplify]: Simplified to (* (* PI n) 2)
1554042648.397 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI n) 2) (/ (- 1 k) 2)) (/ 1 (sqrt k))))
1554042648.397 * * * * [progress]: [ 187 / 189 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))))))))))))))))))))>
1554042648.397 * [simplify]: Simplifying (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))))))))))))))))))))))
1554042648.397 * [simplify]: Simplified (2) to (λ (k n) +nan.0)
1554042648.398 * * * * [progress]: [ 188 / 189 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3)))))))))>
1554042648.398 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3))))))))
1554042648.398 * [simplify]: Simplified (2) to (λ (k n) +nan.0)
1554042648.398 * * * * [progress]: [ 189 / 189 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))))))>
1554042648.398 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))))))))
1554042648.398 * [simplify]: Simplified (2) to (λ (k n) +nan.0)
1554042648.399 * * * [progress]: adding candidates to table
1554042650.466 * * [progress]: iteration 3 / 4
1554042650.466 * * * [progress]: picking best candidate
1554042650.516 * * * * [pick]: Picked  #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2)))>
1554042650.516 * * * [progress]: localizing error
1554042650.566 * * * [progress]: generating rewritten candidates
1554042650.566 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1)
1554042650.594 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1)
1554042650.620 * * * * [progress]: [ 3 / 3 ] rewriting at (2)
1554042650.662 * * * [progress]: generating series expansions
1554042650.663 * * * * [progress]: [ 1 / 3 ] generating series at (2 1)
1554042650.663 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))
1554042650.663 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0
1554042650.663 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
1554042650.663 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
1554042650.663 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
1554042650.663 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
1554042650.663 * [taylor]: Taking taylor expansion of 1/2 in k
1554042650.663 * [backup-simplify]: Simplify 1/2 into 1/2
1554042650.663 * [taylor]: Taking taylor expansion of (- 1 k) in k
1554042650.663 * [taylor]: Taking taylor expansion of 1 in k
1554042650.663 * [backup-simplify]: Simplify 1 into 1
1554042650.663 * [taylor]: Taking taylor expansion of k in k
1554042650.663 * [backup-simplify]: Simplify 0 into 0
1554042650.663 * [backup-simplify]: Simplify 1 into 1
1554042650.663 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1554042650.663 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1554042650.663 * [taylor]: Taking taylor expansion of 2 in k
1554042650.664 * [backup-simplify]: Simplify 2 into 2
1554042650.664 * [taylor]: Taking taylor expansion of (* n PI) in k
1554042650.664 * [taylor]: Taking taylor expansion of n in k
1554042650.664 * [backup-simplify]: Simplify n into n
1554042650.664 * [taylor]: Taking taylor expansion of PI in k
1554042650.664 * [backup-simplify]: Simplify PI into PI
1554042650.664 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1554042650.664 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1554042650.664 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1554042650.664 * [backup-simplify]: Simplify (- 0) into 0
1554042650.664 * [backup-simplify]: Simplify (+ 1 0) into 1
1554042650.665 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1554042650.665 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1554042650.665 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1554042650.665 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
1554042650.665 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
1554042650.665 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
1554042650.665 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
1554042650.665 * [taylor]: Taking taylor expansion of 1/2 in n
1554042650.665 * [backup-simplify]: Simplify 1/2 into 1/2
1554042650.665 * [taylor]: Taking taylor expansion of (- 1 k) in n
1554042650.665 * [taylor]: Taking taylor expansion of 1 in n
1554042650.665 * [backup-simplify]: Simplify 1 into 1
1554042650.665 * [taylor]: Taking taylor expansion of k in n
1554042650.665 * [backup-simplify]: Simplify k into k
1554042650.665 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1554042650.665 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1554042650.665 * [taylor]: Taking taylor expansion of 2 in n
1554042650.665 * [backup-simplify]: Simplify 2 into 2
1554042650.665 * [taylor]: Taking taylor expansion of (* n PI) in n
1554042650.665 * [taylor]: Taking taylor expansion of n in n
1554042650.665 * [backup-simplify]: Simplify 0 into 0
1554042650.665 * [backup-simplify]: Simplify 1 into 1
1554042650.665 * [taylor]: Taking taylor expansion of PI in n
1554042650.665 * [backup-simplify]: Simplify PI into PI
1554042650.665 * [backup-simplify]: Simplify (* 0 PI) into 0
1554042650.666 * [backup-simplify]: Simplify (* 2 0) into 0
1554042650.667 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1554042650.668 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1554042650.668 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554042650.668 * [backup-simplify]: Simplify (- k) into (- k)
1554042650.668 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
1554042650.669 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
1554042650.669 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554042650.670 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
1554042650.671 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
1554042650.671 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
1554042650.671 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
1554042650.671 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
1554042650.671 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
1554042650.671 * [taylor]: Taking taylor expansion of 1/2 in n
1554042650.671 * [backup-simplify]: Simplify 1/2 into 1/2
1554042650.671 * [taylor]: Taking taylor expansion of (- 1 k) in n
1554042650.671 * [taylor]: Taking taylor expansion of 1 in n
1554042650.671 * [backup-simplify]: Simplify 1 into 1
1554042650.671 * [taylor]: Taking taylor expansion of k in n
1554042650.671 * [backup-simplify]: Simplify k into k
1554042650.671 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1554042650.671 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1554042650.671 * [taylor]: Taking taylor expansion of 2 in n
1554042650.671 * [backup-simplify]: Simplify 2 into 2
1554042650.671 * [taylor]: Taking taylor expansion of (* n PI) in n
1554042650.671 * [taylor]: Taking taylor expansion of n in n
1554042650.671 * [backup-simplify]: Simplify 0 into 0
1554042650.671 * [backup-simplify]: Simplify 1 into 1
1554042650.671 * [taylor]: Taking taylor expansion of PI in n
1554042650.671 * [backup-simplify]: Simplify PI into PI
1554042650.671 * [backup-simplify]: Simplify (* 0 PI) into 0
1554042650.672 * [backup-simplify]: Simplify (* 2 0) into 0
1554042650.673 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1554042650.673 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1554042650.674 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554042650.674 * [backup-simplify]: Simplify (- k) into (- k)
1554042650.674 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
1554042650.674 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
1554042650.675 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554042650.676 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
1554042650.676 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
1554042650.676 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
1554042650.676 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
1554042650.676 * [taylor]: Taking taylor expansion of 1/2 in k
1554042650.676 * [backup-simplify]: Simplify 1/2 into 1/2
1554042650.676 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
1554042650.676 * [taylor]: Taking taylor expansion of (- 1 k) in k
1554042650.676 * [taylor]: Taking taylor expansion of 1 in k
1554042650.676 * [backup-simplify]: Simplify 1 into 1
1554042650.676 * [taylor]: Taking taylor expansion of k in k
1554042650.676 * [backup-simplify]: Simplify 0 into 0
1554042650.677 * [backup-simplify]: Simplify 1 into 1
1554042650.677 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1554042650.677 * [taylor]: Taking taylor expansion of (log n) in k
1554042650.677 * [taylor]: Taking taylor expansion of n in k
1554042650.677 * [backup-simplify]: Simplify n into n
1554042650.677 * [backup-simplify]: Simplify (log n) into (log n)
1554042650.677 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1554042650.677 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1554042650.677 * [taylor]: Taking taylor expansion of 2 in k
1554042650.677 * [backup-simplify]: Simplify 2 into 2
1554042650.677 * [taylor]: Taking taylor expansion of PI in k
1554042650.677 * [backup-simplify]: Simplify PI into PI
1554042650.677 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554042650.678 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554042650.678 * [backup-simplify]: Simplify (- 0) into 0
1554042650.678 * [backup-simplify]: Simplify (+ 1 0) into 1
1554042650.679 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554042650.679 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
1554042650.680 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
1554042650.680 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1554042650.681 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1554042650.682 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1554042650.682 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1554042650.683 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1554042650.683 * [backup-simplify]: Simplify (- 0) into 0
1554042650.684 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042650.684 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0
1554042650.685 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554042650.685 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1554042650.686 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
1554042650.687 * [taylor]: Taking taylor expansion of 0 in k
1554042650.687 * [backup-simplify]: Simplify 0 into 0
1554042650.687 * [backup-simplify]: Simplify 0 into 0
1554042650.687 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1554042650.688 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1554042650.688 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1554042650.689 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042650.689 * [backup-simplify]: Simplify (- 1) into -1
1554042650.689 * [backup-simplify]: Simplify (+ 0 -1) into -1
1554042650.690 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
1554042650.691 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))))
1554042650.693 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
1554042650.695 * [backup-simplify]: Simplify (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
1554042650.695 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1554042650.696 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1554042650.699 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
1554042650.699 * [backup-simplify]: Simplify (- 0) into 0
1554042650.700 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042650.701 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
1554042650.702 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554042650.703 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1554042650.706 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1554042650.706 * [taylor]: Taking taylor expansion of 0 in k
1554042650.706 * [backup-simplify]: Simplify 0 into 0
1554042650.706 * [backup-simplify]: Simplify 0 into 0
1554042650.706 * [backup-simplify]: Simplify 0 into 0
1554042650.707 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
1554042650.708 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1554042650.711 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
1554042650.712 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042650.712 * [backup-simplify]: Simplify (- 0) into 0
1554042650.713 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042650.715 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1554042650.717 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1554042650.721 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))))
1554042650.725 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))))
1554042650.734 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (* k 1)) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)))))
1554042650.735 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))
1554042650.735 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0
1554042650.735 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
1554042650.735 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1554042650.735 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1554042650.735 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
1554042650.735 * [taylor]: Taking taylor expansion of 1/2 in k
1554042650.735 * [backup-simplify]: Simplify 1/2 into 1/2
1554042650.735 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
1554042650.735 * [taylor]: Taking taylor expansion of 1 in k
1554042650.735 * [backup-simplify]: Simplify 1 into 1
1554042650.735 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1554042650.735 * [taylor]: Taking taylor expansion of k in k
1554042650.735 * [backup-simplify]: Simplify 0 into 0
1554042650.735 * [backup-simplify]: Simplify 1 into 1
1554042650.736 * [backup-simplify]: Simplify (/ 1 1) into 1
1554042650.736 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
1554042650.736 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
1554042650.736 * [taylor]: Taking taylor expansion of 2 in k
1554042650.736 * [backup-simplify]: Simplify 2 into 2
1554042650.736 * [taylor]: Taking taylor expansion of (/ PI n) in k
1554042650.736 * [taylor]: Taking taylor expansion of PI in k
1554042650.736 * [backup-simplify]: Simplify PI into PI
1554042650.736 * [taylor]: Taking taylor expansion of n in k
1554042650.736 * [backup-simplify]: Simplify n into n
1554042650.736 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1554042650.736 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1554042650.736 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1554042650.737 * [backup-simplify]: Simplify (- 1) into -1
1554042650.737 * [backup-simplify]: Simplify (+ 0 -1) into -1
1554042650.737 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
1554042650.738 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1554042650.738 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
1554042650.738 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
1554042650.738 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1554042650.738 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1554042650.738 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
1554042650.738 * [taylor]: Taking taylor expansion of 1/2 in n
1554042650.738 * [backup-simplify]: Simplify 1/2 into 1/2
1554042650.738 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
1554042650.738 * [taylor]: Taking taylor expansion of 1 in n
1554042650.738 * [backup-simplify]: Simplify 1 into 1
1554042650.738 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1554042650.738 * [taylor]: Taking taylor expansion of k in n
1554042650.738 * [backup-simplify]: Simplify k into k
1554042650.738 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1554042650.738 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1554042650.738 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1554042650.738 * [taylor]: Taking taylor expansion of 2 in n
1554042650.738 * [backup-simplify]: Simplify 2 into 2
1554042650.738 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554042650.738 * [taylor]: Taking taylor expansion of PI in n
1554042650.738 * [backup-simplify]: Simplify PI into PI
1554042650.738 * [taylor]: Taking taylor expansion of n in n
1554042650.738 * [backup-simplify]: Simplify 0 into 0
1554042650.738 * [backup-simplify]: Simplify 1 into 1
1554042650.739 * [backup-simplify]: Simplify (/ PI 1) into PI
1554042650.739 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554042650.740 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554042650.740 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
1554042650.741 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
1554042650.741 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
1554042650.742 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1554042650.743 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
1554042650.744 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
1554042650.744 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
1554042650.744 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1554042650.744 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1554042650.744 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
1554042650.744 * [taylor]: Taking taylor expansion of 1/2 in n
1554042650.744 * [backup-simplify]: Simplify 1/2 into 1/2
1554042650.744 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
1554042650.744 * [taylor]: Taking taylor expansion of 1 in n
1554042650.744 * [backup-simplify]: Simplify 1 into 1
1554042650.745 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1554042650.745 * [taylor]: Taking taylor expansion of k in n
1554042650.745 * [backup-simplify]: Simplify k into k
1554042650.745 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1554042650.745 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1554042650.745 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1554042650.745 * [taylor]: Taking taylor expansion of 2 in n
1554042650.745 * [backup-simplify]: Simplify 2 into 2
1554042650.745 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554042650.745 * [taylor]: Taking taylor expansion of PI in n
1554042650.745 * [backup-simplify]: Simplify PI into PI
1554042650.745 * [taylor]: Taking taylor expansion of n in n
1554042650.745 * [backup-simplify]: Simplify 0 into 0
1554042650.745 * [backup-simplify]: Simplify 1 into 1
1554042650.750 * [backup-simplify]: Simplify (/ PI 1) into PI
1554042650.751 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554042650.752 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554042650.752 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
1554042650.752 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
1554042650.752 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
1554042650.753 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1554042650.754 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
1554042650.754 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
1554042650.754 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
1554042650.754 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
1554042650.754 * [taylor]: Taking taylor expansion of 1/2 in k
1554042650.754 * [backup-simplify]: Simplify 1/2 into 1/2
1554042650.754 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
1554042650.754 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
1554042650.754 * [taylor]: Taking taylor expansion of 1 in k
1554042650.754 * [backup-simplify]: Simplify 1 into 1
1554042650.754 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1554042650.754 * [taylor]: Taking taylor expansion of k in k
1554042650.754 * [backup-simplify]: Simplify 0 into 0
1554042650.755 * [backup-simplify]: Simplify 1 into 1
1554042650.755 * [backup-simplify]: Simplify (/ 1 1) into 1
1554042650.755 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1554042650.755 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1554042650.755 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1554042650.755 * [taylor]: Taking taylor expansion of 2 in k
1554042650.755 * [backup-simplify]: Simplify 2 into 2
1554042650.755 * [taylor]: Taking taylor expansion of PI in k
1554042650.755 * [backup-simplify]: Simplify PI into PI
1554042650.755 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554042650.756 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554042650.756 * [taylor]: Taking taylor expansion of (log n) in k
1554042650.756 * [taylor]: Taking taylor expansion of n in k
1554042650.756 * [backup-simplify]: Simplify n into n
1554042650.756 * [backup-simplify]: Simplify (log n) into (log n)
1554042650.756 * [backup-simplify]: Simplify (- 1) into -1
1554042650.757 * [backup-simplify]: Simplify (+ 0 -1) into -1
1554042650.757 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1554042650.757 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1554042650.758 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
1554042650.759 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1554042650.759 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
1554042650.760 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
1554042650.761 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1554042650.761 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1554042650.762 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1554042650.762 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1554042650.762 * [backup-simplify]: Simplify (- 0) into 0
1554042650.763 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042650.763 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0
1554042650.764 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1554042650.764 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1554042650.766 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
1554042650.766 * [taylor]: Taking taylor expansion of 0 in k
1554042650.766 * [backup-simplify]: Simplify 0 into 0
1554042650.766 * [backup-simplify]: Simplify 0 into 0
1554042650.766 * [backup-simplify]: Simplify 0 into 0
1554042650.766 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554042650.767 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1554042650.769 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
1554042650.769 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1554042650.769 * [backup-simplify]: Simplify (- 0) into 0
1554042650.769 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042650.770 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
1554042650.771 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1554042650.772 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
1554042650.773 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1554042650.773 * [taylor]: Taking taylor expansion of 0 in k
1554042650.773 * [backup-simplify]: Simplify 0 into 0
1554042650.773 * [backup-simplify]: Simplify 0 into 0
1554042650.773 * [backup-simplify]: Simplify 0 into 0
1554042650.773 * [backup-simplify]: Simplify 0 into 0
1554042650.774 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554042650.775 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1554042650.778 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
1554042650.779 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1554042650.779 * [backup-simplify]: Simplify (- 0) into 0
1554042650.779 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042650.781 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
1554042650.782 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1554042650.784 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
1554042650.787 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1554042650.787 * [taylor]: Taking taylor expansion of 0 in k
1554042650.787 * [backup-simplify]: Simplify 0 into 0
1554042650.787 * [backup-simplify]: Simplify 0 into 0
1554042650.788 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
1554042650.789 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))
1554042650.789 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0
1554042650.789 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
1554042650.789 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
1554042650.789 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
1554042650.789 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
1554042650.789 * [taylor]: Taking taylor expansion of 1/2 in k
1554042650.789 * [backup-simplify]: Simplify 1/2 into 1/2
1554042650.789 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
1554042650.789 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1554042650.789 * [taylor]: Taking taylor expansion of k in k
1554042650.789 * [backup-simplify]: Simplify 0 into 0
1554042650.789 * [backup-simplify]: Simplify 1 into 1
1554042650.789 * [backup-simplify]: Simplify (/ 1 1) into 1
1554042650.789 * [taylor]: Taking taylor expansion of 1 in k
1554042650.789 * [backup-simplify]: Simplify 1 into 1
1554042650.789 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
1554042650.789 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
1554042650.790 * [taylor]: Taking taylor expansion of -2 in k
1554042650.790 * [backup-simplify]: Simplify -2 into -2
1554042650.790 * [taylor]: Taking taylor expansion of (/ PI n) in k
1554042650.790 * [taylor]: Taking taylor expansion of PI in k
1554042650.790 * [backup-simplify]: Simplify PI into PI
1554042650.790 * [taylor]: Taking taylor expansion of n in k
1554042650.790 * [backup-simplify]: Simplify n into n
1554042650.790 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1554042650.790 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1554042650.790 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1554042650.790 * [backup-simplify]: Simplify (+ 1 0) into 1
1554042650.791 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1554042650.791 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1554042650.791 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
1554042650.791 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
1554042650.791 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
1554042650.791 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
1554042650.791 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
1554042650.791 * [taylor]: Taking taylor expansion of 1/2 in n
1554042650.791 * [backup-simplify]: Simplify 1/2 into 1/2
1554042650.791 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
1554042650.791 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1554042650.791 * [taylor]: Taking taylor expansion of k in n
1554042650.791 * [backup-simplify]: Simplify k into k
1554042650.791 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1554042650.791 * [taylor]: Taking taylor expansion of 1 in n
1554042650.791 * [backup-simplify]: Simplify 1 into 1
1554042650.791 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1554042650.792 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1554042650.792 * [taylor]: Taking taylor expansion of -2 in n
1554042650.792 * [backup-simplify]: Simplify -2 into -2
1554042650.792 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554042650.792 * [taylor]: Taking taylor expansion of PI in n
1554042650.792 * [backup-simplify]: Simplify PI into PI
1554042650.792 * [taylor]: Taking taylor expansion of n in n
1554042650.792 * [backup-simplify]: Simplify 0 into 0
1554042650.792 * [backup-simplify]: Simplify 1 into 1
1554042650.792 * [backup-simplify]: Simplify (/ PI 1) into PI
1554042650.793 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1554042650.794 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1554042650.794 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
1554042650.794 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
1554042650.795 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1554042650.796 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
1554042650.797 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
1554042650.797 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
1554042650.797 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
1554042650.797 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
1554042650.797 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
1554042650.797 * [taylor]: Taking taylor expansion of 1/2 in n
1554042650.797 * [backup-simplify]: Simplify 1/2 into 1/2
1554042650.798 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
1554042650.798 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1554042650.798 * [taylor]: Taking taylor expansion of k in n
1554042650.798 * [backup-simplify]: Simplify k into k
1554042650.798 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1554042650.798 * [taylor]: Taking taylor expansion of 1 in n
1554042650.798 * [backup-simplify]: Simplify 1 into 1
1554042650.798 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1554042650.798 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1554042650.798 * [taylor]: Taking taylor expansion of -2 in n
1554042650.798 * [backup-simplify]: Simplify -2 into -2
1554042650.798 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554042650.798 * [taylor]: Taking taylor expansion of PI in n
1554042650.798 * [backup-simplify]: Simplify PI into PI
1554042650.798 * [taylor]: Taking taylor expansion of n in n
1554042650.798 * [backup-simplify]: Simplify 0 into 0
1554042650.798 * [backup-simplify]: Simplify 1 into 1
1554042650.798 * [backup-simplify]: Simplify (/ PI 1) into PI
1554042650.799 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1554042650.800 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1554042650.800 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
1554042650.800 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
1554042650.801 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1554042650.802 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
1554042650.803 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
1554042650.804 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
1554042650.804 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
1554042650.804 * [taylor]: Taking taylor expansion of 1/2 in k
1554042650.804 * [backup-simplify]: Simplify 1/2 into 1/2
1554042650.804 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
1554042650.804 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
1554042650.804 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1554042650.804 * [taylor]: Taking taylor expansion of k in k
1554042650.804 * [backup-simplify]: Simplify 0 into 0
1554042650.804 * [backup-simplify]: Simplify 1 into 1
1554042650.804 * [backup-simplify]: Simplify (/ 1 1) into 1
1554042650.804 * [taylor]: Taking taylor expansion of 1 in k
1554042650.804 * [backup-simplify]: Simplify 1 into 1
1554042650.804 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
1554042650.804 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
1554042650.804 * [taylor]: Taking taylor expansion of (* -2 PI) in k
1554042650.804 * [taylor]: Taking taylor expansion of -2 in k
1554042650.804 * [backup-simplify]: Simplify -2 into -2
1554042650.805 * [taylor]: Taking taylor expansion of PI in k
1554042650.805 * [backup-simplify]: Simplify PI into PI
1554042650.805 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1554042650.806 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1554042650.806 * [taylor]: Taking taylor expansion of (log n) in k
1554042650.806 * [taylor]: Taking taylor expansion of n in k
1554042650.806 * [backup-simplify]: Simplify n into n
1554042650.806 * [backup-simplify]: Simplify (log n) into (log n)
1554042650.807 * [backup-simplify]: Simplify (+ 1 0) into 1
1554042650.807 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1554042650.808 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
1554042650.809 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
1554042650.810 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
1554042650.811 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
1554042650.812 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
1554042650.813 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1554042650.814 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1554042650.816 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1554042650.816 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1554042650.817 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042650.817 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0
1554042650.818 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1554042650.820 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1554042650.821 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
1554042650.822 * [taylor]: Taking taylor expansion of 0 in k
1554042650.822 * [backup-simplify]: Simplify 0 into 0
1554042650.822 * [backup-simplify]: Simplify 0 into 0
1554042650.822 * [backup-simplify]: Simplify 0 into 0
1554042650.823 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554042650.824 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1554042650.828 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0
1554042650.829 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1554042650.829 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042650.830 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
1554042650.831 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1554042650.833 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
1554042650.835 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1554042650.835 * [taylor]: Taking taylor expansion of 0 in k
1554042650.835 * [backup-simplify]: Simplify 0 into 0
1554042650.835 * [backup-simplify]: Simplify 0 into 0
1554042650.835 * [backup-simplify]: Simplify 0 into 0
1554042650.835 * [backup-simplify]: Simplify 0 into 0
1554042650.837 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554042650.838 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1554042650.844 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 PI) 1)))) 6) into 0
1554042650.844 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1554042650.844 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042650.846 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0
1554042650.847 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1554042650.849 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
1554042650.852 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1554042650.852 * [taylor]: Taking taylor expansion of 0 in k
1554042650.852 * [backup-simplify]: Simplify 0 into 0
1554042650.852 * [backup-simplify]: Simplify 0 into 0
1554042650.853 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
1554042650.854 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1)
1554042650.854 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI))
1554042650.854 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
1554042650.854 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1554042650.854 * [taylor]: Taking taylor expansion of 2 in n
1554042650.854 * [backup-simplify]: Simplify 2 into 2
1554042650.854 * [taylor]: Taking taylor expansion of (* n PI) in n
1554042650.854 * [taylor]: Taking taylor expansion of n in n
1554042650.854 * [backup-simplify]: Simplify 0 into 0
1554042650.854 * [backup-simplify]: Simplify 1 into 1
1554042650.854 * [taylor]: Taking taylor expansion of PI in n
1554042650.854 * [backup-simplify]: Simplify PI into PI
1554042650.854 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1554042650.854 * [taylor]: Taking taylor expansion of 2 in n
1554042650.854 * [backup-simplify]: Simplify 2 into 2
1554042650.854 * [taylor]: Taking taylor expansion of (* n PI) in n
1554042650.854 * [taylor]: Taking taylor expansion of n in n
1554042650.855 * [backup-simplify]: Simplify 0 into 0
1554042650.855 * [backup-simplify]: Simplify 1 into 1
1554042650.855 * [taylor]: Taking taylor expansion of PI in n
1554042650.855 * [backup-simplify]: Simplify PI into PI
1554042650.855 * [backup-simplify]: Simplify (* 0 PI) into 0
1554042650.856 * [backup-simplify]: Simplify (* 2 0) into 0
1554042650.856 * [backup-simplify]: Simplify 0 into 0
1554042650.857 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1554042650.858 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1554042650.858 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554042650.859 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1554042650.859 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1554042650.859 * [backup-simplify]: Simplify 0 into 0
1554042650.860 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1554042650.861 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1554042650.861 * [backup-simplify]: Simplify 0 into 0
1554042650.861 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1554042650.862 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1554042650.862 * [backup-simplify]: Simplify 0 into 0
1554042650.863 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1554042650.864 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
1554042650.864 * [backup-simplify]: Simplify 0 into 0
1554042650.865 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1554042650.866 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
1554042650.866 * [backup-simplify]: Simplify 0 into 0
1554042650.867 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
1554042650.872 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
1554042650.872 * [backup-simplify]: Simplify 0 into 0
1554042650.872 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
1554042650.873 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n))
1554042650.873 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
1554042650.873 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1554042650.873 * [taylor]: Taking taylor expansion of 2 in n
1554042650.873 * [backup-simplify]: Simplify 2 into 2
1554042650.873 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554042650.873 * [taylor]: Taking taylor expansion of PI in n
1554042650.873 * [backup-simplify]: Simplify PI into PI
1554042650.873 * [taylor]: Taking taylor expansion of n in n
1554042650.873 * [backup-simplify]: Simplify 0 into 0
1554042650.873 * [backup-simplify]: Simplify 1 into 1
1554042650.873 * [backup-simplify]: Simplify (/ PI 1) into PI
1554042650.873 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1554042650.873 * [taylor]: Taking taylor expansion of 2 in n
1554042650.873 * [backup-simplify]: Simplify 2 into 2
1554042650.873 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554042650.873 * [taylor]: Taking taylor expansion of PI in n
1554042650.873 * [backup-simplify]: Simplify PI into PI
1554042650.873 * [taylor]: Taking taylor expansion of n in n
1554042650.873 * [backup-simplify]: Simplify 0 into 0
1554042650.873 * [backup-simplify]: Simplify 1 into 1
1554042650.874 * [backup-simplify]: Simplify (/ PI 1) into PI
1554042650.874 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554042650.874 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554042650.875 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1554042650.875 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1554042650.875 * [backup-simplify]: Simplify 0 into 0
1554042650.876 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554042650.876 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1554042650.876 * [backup-simplify]: Simplify 0 into 0
1554042650.877 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554042650.878 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1554042650.878 * [backup-simplify]: Simplify 0 into 0
1554042650.878 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554042650.879 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1554042650.879 * [backup-simplify]: Simplify 0 into 0
1554042650.880 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554042650.880 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1554042650.880 * [backup-simplify]: Simplify 0 into 0
1554042650.881 * [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
1554042650.882 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1554042650.882 * [backup-simplify]: Simplify 0 into 0
1554042650.882 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
1554042650.883 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n))
1554042650.883 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
1554042650.883 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1554042650.883 * [taylor]: Taking taylor expansion of -2 in n
1554042650.883 * [backup-simplify]: Simplify -2 into -2
1554042650.883 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554042650.883 * [taylor]: Taking taylor expansion of PI in n
1554042650.883 * [backup-simplify]: Simplify PI into PI
1554042650.883 * [taylor]: Taking taylor expansion of n in n
1554042650.883 * [backup-simplify]: Simplify 0 into 0
1554042650.883 * [backup-simplify]: Simplify 1 into 1
1554042650.883 * [backup-simplify]: Simplify (/ PI 1) into PI
1554042650.883 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1554042650.883 * [taylor]: Taking taylor expansion of -2 in n
1554042650.883 * [backup-simplify]: Simplify -2 into -2
1554042650.883 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554042650.883 * [taylor]: Taking taylor expansion of PI in n
1554042650.883 * [backup-simplify]: Simplify PI into PI
1554042650.883 * [taylor]: Taking taylor expansion of n in n
1554042650.883 * [backup-simplify]: Simplify 0 into 0
1554042650.883 * [backup-simplify]: Simplify 1 into 1
1554042650.884 * [backup-simplify]: Simplify (/ PI 1) into PI
1554042650.884 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1554042650.884 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1554042650.885 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1554042650.886 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1554042650.886 * [backup-simplify]: Simplify 0 into 0
1554042650.887 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554042650.888 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1554042650.888 * [backup-simplify]: Simplify 0 into 0
1554042650.889 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554042650.890 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1554042650.890 * [backup-simplify]: Simplify 0 into 0
1554042650.891 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554042650.893 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1554042650.893 * [backup-simplify]: Simplify 0 into 0
1554042650.893 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554042650.894 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1554042650.894 * [backup-simplify]: Simplify 0 into 0
1554042650.895 * [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
1554042650.896 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1554042650.896 * [backup-simplify]: Simplify 0 into 0
1554042650.896 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
1554042650.896 * * * * [progress]: [ 3 / 3 ] generating series at (2)
1554042650.897 * [backup-simplify]: Simplify (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2)) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k)))
1554042650.897 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (n k) around 0
1554042650.897 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k
1554042650.897 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
1554042650.897 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
1554042650.897 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
1554042650.897 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
1554042650.897 * [taylor]: Taking taylor expansion of 1/2 in k
1554042650.897 * [backup-simplify]: Simplify 1/2 into 1/2
1554042650.897 * [taylor]: Taking taylor expansion of (- 1 k) in k
1554042650.897 * [taylor]: Taking taylor expansion of 1 in k
1554042650.897 * [backup-simplify]: Simplify 1 into 1
1554042650.897 * [taylor]: Taking taylor expansion of k in k
1554042650.897 * [backup-simplify]: Simplify 0 into 0
1554042650.897 * [backup-simplify]: Simplify 1 into 1
1554042650.897 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1554042650.897 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1554042650.897 * [taylor]: Taking taylor expansion of 2 in k
1554042650.897 * [backup-simplify]: Simplify 2 into 2
1554042650.897 * [taylor]: Taking taylor expansion of (* n PI) in k
1554042650.897 * [taylor]: Taking taylor expansion of n in k
1554042650.897 * [backup-simplify]: Simplify n into n
1554042650.897 * [taylor]: Taking taylor expansion of PI in k
1554042650.897 * [backup-simplify]: Simplify PI into PI
1554042650.897 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1554042650.897 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1554042650.897 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1554042650.897 * [backup-simplify]: Simplify (- 0) into 0
1554042650.898 * [backup-simplify]: Simplify (+ 1 0) into 1
1554042650.898 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1554042650.898 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1554042650.898 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1554042650.898 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
1554042650.898 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1554042650.898 * [taylor]: Taking taylor expansion of k in k
1554042650.898 * [backup-simplify]: Simplify 0 into 0
1554042650.898 * [backup-simplify]: Simplify 1 into 1
1554042650.898 * [backup-simplify]: Simplify (/ 1 1) into 1
1554042650.899 * [backup-simplify]: Simplify (sqrt 0) into 0
1554042650.900 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1554042650.900 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n
1554042650.900 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
1554042650.900 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
1554042650.900 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
1554042650.900 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
1554042650.900 * [taylor]: Taking taylor expansion of 1/2 in n
1554042650.900 * [backup-simplify]: Simplify 1/2 into 1/2
1554042650.900 * [taylor]: Taking taylor expansion of (- 1 k) in n
1554042650.900 * [taylor]: Taking taylor expansion of 1 in n
1554042650.900 * [backup-simplify]: Simplify 1 into 1
1554042650.900 * [taylor]: Taking taylor expansion of k in n
1554042650.900 * [backup-simplify]: Simplify k into k
1554042650.900 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1554042650.900 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1554042650.900 * [taylor]: Taking taylor expansion of 2 in n
1554042650.900 * [backup-simplify]: Simplify 2 into 2
1554042650.900 * [taylor]: Taking taylor expansion of (* n PI) in n
1554042650.900 * [taylor]: Taking taylor expansion of n in n
1554042650.900 * [backup-simplify]: Simplify 0 into 0
1554042650.900 * [backup-simplify]: Simplify 1 into 1
1554042650.900 * [taylor]: Taking taylor expansion of PI in n
1554042650.900 * [backup-simplify]: Simplify PI into PI
1554042650.900 * [backup-simplify]: Simplify (* 0 PI) into 0
1554042650.901 * [backup-simplify]: Simplify (* 2 0) into 0
1554042650.901 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1554042650.902 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1554042650.903 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554042650.903 * [backup-simplify]: Simplify (- k) into (- k)
1554042650.903 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
1554042650.903 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
1554042650.904 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554042650.904 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
1554042650.905 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
1554042650.905 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
1554042650.905 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1554042650.905 * [taylor]: Taking taylor expansion of k in n
1554042650.905 * [backup-simplify]: Simplify k into k
1554042650.905 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1554042650.905 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
1554042650.905 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1554042650.905 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
1554042650.905 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n
1554042650.906 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
1554042650.906 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
1554042650.906 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
1554042650.906 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
1554042650.906 * [taylor]: Taking taylor expansion of 1/2 in n
1554042650.906 * [backup-simplify]: Simplify 1/2 into 1/2
1554042650.906 * [taylor]: Taking taylor expansion of (- 1 k) in n
1554042650.906 * [taylor]: Taking taylor expansion of 1 in n
1554042650.906 * [backup-simplify]: Simplify 1 into 1
1554042650.906 * [taylor]: Taking taylor expansion of k in n
1554042650.906 * [backup-simplify]: Simplify k into k
1554042650.906 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1554042650.906 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1554042650.906 * [taylor]: Taking taylor expansion of 2 in n
1554042650.906 * [backup-simplify]: Simplify 2 into 2
1554042650.906 * [taylor]: Taking taylor expansion of (* n PI) in n
1554042650.906 * [taylor]: Taking taylor expansion of n in n
1554042650.906 * [backup-simplify]: Simplify 0 into 0
1554042650.906 * [backup-simplify]: Simplify 1 into 1
1554042650.906 * [taylor]: Taking taylor expansion of PI in n
1554042650.906 * [backup-simplify]: Simplify PI into PI
1554042650.906 * [backup-simplify]: Simplify (* 0 PI) into 0
1554042650.906 * [backup-simplify]: Simplify (* 2 0) into 0
1554042650.907 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1554042650.908 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1554042650.909 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554042650.909 * [backup-simplify]: Simplify (- k) into (- k)
1554042650.909 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
1554042650.909 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
1554042650.910 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554042650.910 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
1554042650.911 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
1554042650.911 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
1554042650.911 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1554042650.911 * [taylor]: Taking taylor expansion of k in n
1554042650.911 * [backup-simplify]: Simplify k into k
1554042650.911 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1554042650.911 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
1554042650.911 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1554042650.911 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
1554042650.912 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) into (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k)))
1554042650.912 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) in k
1554042650.912 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
1554042650.912 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
1554042650.912 * [taylor]: Taking taylor expansion of 1/2 in k
1554042650.912 * [backup-simplify]: Simplify 1/2 into 1/2
1554042650.912 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
1554042650.912 * [taylor]: Taking taylor expansion of (- 1 k) in k
1554042650.912 * [taylor]: Taking taylor expansion of 1 in k
1554042650.912 * [backup-simplify]: Simplify 1 into 1
1554042650.912 * [taylor]: Taking taylor expansion of k in k
1554042650.912 * [backup-simplify]: Simplify 0 into 0
1554042650.912 * [backup-simplify]: Simplify 1 into 1
1554042650.912 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1554042650.912 * [taylor]: Taking taylor expansion of (log n) in k
1554042650.912 * [taylor]: Taking taylor expansion of n in k
1554042650.912 * [backup-simplify]: Simplify n into n
1554042650.912 * [backup-simplify]: Simplify (log n) into (log n)
1554042650.912 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1554042650.912 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1554042650.912 * [taylor]: Taking taylor expansion of 2 in k
1554042650.912 * [backup-simplify]: Simplify 2 into 2
1554042650.912 * [taylor]: Taking taylor expansion of PI in k
1554042650.912 * [backup-simplify]: Simplify PI into PI
1554042650.913 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554042650.913 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554042650.914 * [backup-simplify]: Simplify (- 0) into 0
1554042650.914 * [backup-simplify]: Simplify (+ 1 0) into 1
1554042650.914 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554042650.915 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
1554042650.916 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
1554042650.916 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1554042650.916 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
1554042650.916 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1554042650.916 * [taylor]: Taking taylor expansion of k in k
1554042650.916 * [backup-simplify]: Simplify 0 into 0
1554042650.916 * [backup-simplify]: Simplify 1 into 1
1554042650.917 * [backup-simplify]: Simplify (/ 1 1) into 1
1554042650.917 * [backup-simplify]: Simplify (sqrt 0) into 0
1554042650.918 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1554042650.918 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0
1554042650.918 * [backup-simplify]: Simplify 0 into 0
1554042650.919 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1554042650.920 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1554042650.921 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1554042650.921 * [backup-simplify]: Simplify (- 0) into 0
1554042650.921 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042650.922 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0
1554042650.923 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554042650.924 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1554042650.926 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
1554042650.927 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (* 0 (sqrt (/ 1 k)))) into 0
1554042650.927 * [taylor]: Taking taylor expansion of 0 in k
1554042650.927 * [backup-simplify]: Simplify 0 into 0
1554042650.928 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1554042650.929 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1554042650.930 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1554042650.931 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042650.931 * [backup-simplify]: Simplify (- 1) into -1
1554042650.932 * [backup-simplify]: Simplify (+ 0 -1) into -1
1554042650.933 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
1554042650.935 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))))
1554042650.938 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
1554042650.942 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0)) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
1554042650.943 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
1554042650.943 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1554042650.944 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
1554042650.945 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1554042650.946 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1554042650.947 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
1554042650.948 * [backup-simplify]: Simplify (- 0) into 0
1554042650.948 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042650.948 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
1554042650.949 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554042650.950 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1554042650.951 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1554042650.952 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0
1554042650.952 * [taylor]: Taking taylor expansion of 0 in k
1554042650.952 * [backup-simplify]: Simplify 0 into 0
1554042650.952 * [backup-simplify]: Simplify 0 into 0
1554042650.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1554042650.955 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1554042650.956 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
1554042650.956 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1554042650.958 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
1554042650.958 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042650.958 * [backup-simplify]: Simplify (- 0) into 0
1554042650.959 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042650.960 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1554042650.961 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1554042650.963 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))))
1554042650.975 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) +nan.0) (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) 0))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))))))))
1554042650.979 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))))))))
1554042650.979 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1554042650.980 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0
1554042650.981 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1554042650.983 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1554042650.989 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
1554042650.989 * [backup-simplify]: Simplify (- 0) into 0
1554042650.990 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042650.991 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 k))))) into 0
1554042650.992 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554042650.994 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
1554042650.997 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1554042650.998 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0
1554042650.998 * [taylor]: Taking taylor expansion of 0 in k
1554042650.998 * [backup-simplify]: Simplify 0 into 0
1554042650.999 * [backup-simplify]: Simplify 0 into 0
1554042650.999 * [backup-simplify]: Simplify 0 into 0
1554042651.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554042651.004 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1554042651.006 * [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
1554042651.008 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1554042651.014 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
1554042651.014 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042651.014 * [backup-simplify]: Simplify (- 0) into 0
1554042651.015 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042651.017 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
1554042651.020 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
1554042651.026 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 3) 6)) (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (pow (log n) 2) (log (* 2 PI)))) (+ (* 1/16 (* (log n) (pow (log (* 2 PI)) 2))) (* 1/48 (pow (log (* 2 PI)) 3))))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
1554042651.042 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) +nan.0) (+ (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) +nan.0) (* (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (pow (log n) 2) (log (* 2 PI)))) (+ (* 1/16 (* (log n) (pow (log (* 2 PI)) 2))) (* 1/48 (pow (log (* 2 PI)) 3))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0)))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))))))))))))))
1554042651.050 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))))))))))))))
1554042651.060 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) (* k 1)) (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))))) into (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))))))))))))))))))))))
1554042651.061 * [backup-simplify]: Simplify (* (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) (pow (/ 1 k) -1/2)) into (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k))
1554042651.061 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (n k) around 0
1554042651.061 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k
1554042651.061 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
1554042651.061 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1554042651.061 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1554042651.061 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
1554042651.061 * [taylor]: Taking taylor expansion of 1/2 in k
1554042651.061 * [backup-simplify]: Simplify 1/2 into 1/2
1554042651.061 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
1554042651.061 * [taylor]: Taking taylor expansion of 1 in k
1554042651.061 * [backup-simplify]: Simplify 1 into 1
1554042651.061 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1554042651.061 * [taylor]: Taking taylor expansion of k in k
1554042651.061 * [backup-simplify]: Simplify 0 into 0
1554042651.061 * [backup-simplify]: Simplify 1 into 1
1554042651.062 * [backup-simplify]: Simplify (/ 1 1) into 1
1554042651.062 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
1554042651.062 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
1554042651.062 * [taylor]: Taking taylor expansion of 2 in k
1554042651.062 * [backup-simplify]: Simplify 2 into 2
1554042651.062 * [taylor]: Taking taylor expansion of (/ PI n) in k
1554042651.062 * [taylor]: Taking taylor expansion of PI in k
1554042651.062 * [backup-simplify]: Simplify PI into PI
1554042651.062 * [taylor]: Taking taylor expansion of n in k
1554042651.062 * [backup-simplify]: Simplify n into n
1554042651.062 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1554042651.062 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1554042651.062 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1554042651.062 * [backup-simplify]: Simplify (- 1) into -1
1554042651.062 * [backup-simplify]: Simplify (+ 0 -1) into -1
1554042651.063 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
1554042651.063 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1554042651.063 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
1554042651.063 * [taylor]: Taking taylor expansion of (sqrt k) in k
1554042651.063 * [taylor]: Taking taylor expansion of k in k
1554042651.063 * [backup-simplify]: Simplify 0 into 0
1554042651.063 * [backup-simplify]: Simplify 1 into 1
1554042651.063 * [backup-simplify]: Simplify (sqrt 0) into 0
1554042651.064 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1554042651.064 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n
1554042651.064 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
1554042651.064 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1554042651.064 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1554042651.064 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
1554042651.064 * [taylor]: Taking taylor expansion of 1/2 in n
1554042651.064 * [backup-simplify]: Simplify 1/2 into 1/2
1554042651.064 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
1554042651.064 * [taylor]: Taking taylor expansion of 1 in n
1554042651.064 * [backup-simplify]: Simplify 1 into 1
1554042651.064 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1554042651.064 * [taylor]: Taking taylor expansion of k in n
1554042651.064 * [backup-simplify]: Simplify k into k
1554042651.064 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1554042651.064 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1554042651.064 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1554042651.064 * [taylor]: Taking taylor expansion of 2 in n
1554042651.064 * [backup-simplify]: Simplify 2 into 2
1554042651.065 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554042651.065 * [taylor]: Taking taylor expansion of PI in n
1554042651.065 * [backup-simplify]: Simplify PI into PI
1554042651.065 * [taylor]: Taking taylor expansion of n in n
1554042651.065 * [backup-simplify]: Simplify 0 into 0
1554042651.065 * [backup-simplify]: Simplify 1 into 1
1554042651.065 * [backup-simplify]: Simplify (/ PI 1) into PI
1554042651.065 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554042651.066 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554042651.066 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
1554042651.066 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
1554042651.066 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
1554042651.067 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1554042651.067 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
1554042651.068 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
1554042651.068 * [taylor]: Taking taylor expansion of (sqrt k) in n
1554042651.068 * [taylor]: Taking taylor expansion of k in n
1554042651.068 * [backup-simplify]: Simplify k into k
1554042651.068 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
1554042651.068 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
1554042651.068 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n
1554042651.068 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
1554042651.068 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1554042651.068 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1554042651.068 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
1554042651.068 * [taylor]: Taking taylor expansion of 1/2 in n
1554042651.069 * [backup-simplify]: Simplify 1/2 into 1/2
1554042651.069 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
1554042651.069 * [taylor]: Taking taylor expansion of 1 in n
1554042651.069 * [backup-simplify]: Simplify 1 into 1
1554042651.069 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1554042651.069 * [taylor]: Taking taylor expansion of k in n
1554042651.069 * [backup-simplify]: Simplify k into k
1554042651.069 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1554042651.069 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1554042651.069 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1554042651.069 * [taylor]: Taking taylor expansion of 2 in n
1554042651.069 * [backup-simplify]: Simplify 2 into 2
1554042651.069 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554042651.069 * [taylor]: Taking taylor expansion of PI in n
1554042651.069 * [backup-simplify]: Simplify PI into PI
1554042651.069 * [taylor]: Taking taylor expansion of n in n
1554042651.069 * [backup-simplify]: Simplify 0 into 0
1554042651.069 * [backup-simplify]: Simplify 1 into 1
1554042651.069 * [backup-simplify]: Simplify (/ PI 1) into PI
1554042651.069 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554042651.070 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554042651.070 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
1554042651.070 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
1554042651.070 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
1554042651.071 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1554042651.072 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
1554042651.072 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
1554042651.073 * [taylor]: Taking taylor expansion of (sqrt k) in n
1554042651.073 * [taylor]: Taking taylor expansion of k in n
1554042651.073 * [backup-simplify]: Simplify k into k
1554042651.073 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
1554042651.073 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
1554042651.073 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) into (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k))
1554042651.073 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) in k
1554042651.073 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
1554042651.073 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
1554042651.073 * [taylor]: Taking taylor expansion of 1/2 in k
1554042651.074 * [backup-simplify]: Simplify 1/2 into 1/2
1554042651.074 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
1554042651.074 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
1554042651.074 * [taylor]: Taking taylor expansion of 1 in k
1554042651.074 * [backup-simplify]: Simplify 1 into 1
1554042651.074 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1554042651.074 * [taylor]: Taking taylor expansion of k in k
1554042651.074 * [backup-simplify]: Simplify 0 into 0
1554042651.074 * [backup-simplify]: Simplify 1 into 1
1554042651.074 * [backup-simplify]: Simplify (/ 1 1) into 1
1554042651.074 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1554042651.074 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1554042651.074 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1554042651.074 * [taylor]: Taking taylor expansion of 2 in k
1554042651.074 * [backup-simplify]: Simplify 2 into 2
1554042651.074 * [taylor]: Taking taylor expansion of PI in k
1554042651.074 * [backup-simplify]: Simplify PI into PI
1554042651.074 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554042651.075 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554042651.075 * [taylor]: Taking taylor expansion of (log n) in k
1554042651.075 * [taylor]: Taking taylor expansion of n in k
1554042651.075 * [backup-simplify]: Simplify n into n
1554042651.075 * [backup-simplify]: Simplify (log n) into (log n)
1554042651.075 * [backup-simplify]: Simplify (- 1) into -1
1554042651.075 * [backup-simplify]: Simplify (+ 0 -1) into -1
1554042651.075 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1554042651.076 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1554042651.077 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
1554042651.078 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1554042651.079 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
1554042651.079 * [taylor]: Taking taylor expansion of (sqrt k) in k
1554042651.079 * [taylor]: Taking taylor expansion of k in k
1554042651.079 * [backup-simplify]: Simplify 0 into 0
1554042651.079 * [backup-simplify]: Simplify 1 into 1
1554042651.079 * [backup-simplify]: Simplify (sqrt 0) into 0
1554042651.081 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1554042651.082 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) into 0
1554042651.082 * [backup-simplify]: Simplify 0 into 0
1554042651.083 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1554042651.083 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1554042651.085 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1554042651.085 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1554042651.086 * [backup-simplify]: Simplify (- 0) into 0
1554042651.086 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042651.092 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0
1554042651.093 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1554042651.095 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1554042651.097 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
1554042651.098 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (* 0 (sqrt k))) into 0
1554042651.098 * [taylor]: Taking taylor expansion of 0 in k
1554042651.098 * [backup-simplify]: Simplify 0 into 0
1554042651.098 * [backup-simplify]: Simplify 0 into 0
1554042651.099 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
1554042651.101 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
1554042651.101 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
1554042651.102 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554042651.103 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1554042651.107 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
1554042651.107 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1554042651.107 * [backup-simplify]: Simplify (- 0) into 0
1554042651.108 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042651.109 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
1554042651.110 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1554042651.111 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
1554042651.114 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1554042651.115 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0
1554042651.115 * [taylor]: Taking taylor expansion of 0 in k
1554042651.115 * [backup-simplify]: Simplify 0 into 0
1554042651.115 * [backup-simplify]: Simplify 0 into 0
1554042651.115 * [backup-simplify]: Simplify 0 into 0
1554042651.118 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1554042651.120 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
1554042651.122 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
1554042651.123 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
1554042651.124 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554042651.125 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1554042651.130 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
1554042651.131 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1554042651.131 * [backup-simplify]: Simplify (- 0) into 0
1554042651.131 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042651.133 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
1554042651.134 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1554042651.136 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
1554042651.138 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1554042651.140 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0
1554042651.140 * [taylor]: Taking taylor expansion of 0 in k
1554042651.140 * [backup-simplify]: Simplify 0 into 0
1554042651.140 * [backup-simplify]: Simplify 0 into 0
1554042651.141 * [backup-simplify]: Simplify 0 into 0
1554042651.141 * [backup-simplify]: Simplify 0 into 0
1554042651.144 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1554042651.146 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
1554042651.147 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
1554042651.151 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3))))))))
1554042651.152 * [backup-simplify]: Simplify (* (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) (pow (/ 1 (- k)) -1/2)) into (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))))
1554042651.152 * [approximate]: Taking taylor expansion of (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in (n k) around 0
1554042651.152 * [taylor]: Taking taylor expansion of (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in k
1554042651.152 * [taylor]: Taking taylor expansion of (sqrt (/ k -1)) in k
1554042651.152 * [taylor]: Taking taylor expansion of (/ k -1) in k
1554042651.152 * [taylor]: Taking taylor expansion of k in k
1554042651.152 * [backup-simplify]: Simplify 0 into 0
1554042651.152 * [backup-simplify]: Simplify 1 into 1
1554042651.152 * [taylor]: Taking taylor expansion of -1 in k
1554042651.152 * [backup-simplify]: Simplify -1 into -1
1554042651.153 * [backup-simplify]: Simplify (/ 1 -1) into -1
1554042651.153 * [backup-simplify]: Simplify (sqrt 0) into 0
1554042651.155 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1554042651.155 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
1554042651.155 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
1554042651.155 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
1554042651.155 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
1554042651.155 * [taylor]: Taking taylor expansion of 1/2 in k
1554042651.155 * [backup-simplify]: Simplify 1/2 into 1/2
1554042651.155 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
1554042651.155 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1554042651.155 * [taylor]: Taking taylor expansion of k in k
1554042651.155 * [backup-simplify]: Simplify 0 into 0
1554042651.155 * [backup-simplify]: Simplify 1 into 1
1554042651.156 * [backup-simplify]: Simplify (/ 1 1) into 1
1554042651.156 * [taylor]: Taking taylor expansion of 1 in k
1554042651.156 * [backup-simplify]: Simplify 1 into 1
1554042651.156 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
1554042651.156 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
1554042651.156 * [taylor]: Taking taylor expansion of -2 in k
1554042651.156 * [backup-simplify]: Simplify -2 into -2
1554042651.156 * [taylor]: Taking taylor expansion of (/ PI n) in k
1554042651.156 * [taylor]: Taking taylor expansion of PI in k
1554042651.156 * [backup-simplify]: Simplify PI into PI
1554042651.156 * [taylor]: Taking taylor expansion of n in k
1554042651.156 * [backup-simplify]: Simplify n into n
1554042651.156 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1554042651.156 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1554042651.156 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1554042651.157 * [backup-simplify]: Simplify (+ 1 0) into 1
1554042651.157 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1554042651.157 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1554042651.157 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
1554042651.157 * [taylor]: Taking taylor expansion of (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in n
1554042651.157 * [taylor]: Taking taylor expansion of (sqrt (/ k -1)) in n
1554042651.157 * [taylor]: Taking taylor expansion of (/ k -1) in n
1554042651.158 * [taylor]: Taking taylor expansion of k in n
1554042651.158 * [backup-simplify]: Simplify k into k
1554042651.158 * [taylor]: Taking taylor expansion of -1 in n
1554042651.158 * [backup-simplify]: Simplify -1 into -1
1554042651.158 * [backup-simplify]: Simplify (/ k -1) into (* -1 k)
1554042651.158 * [backup-simplify]: Simplify (sqrt (* -1 k)) into (sqrt (* -1 k))
1554042651.159 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 k) (/ 0 -1)))) into 0
1554042651.159 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* -1 k)))) into 0
1554042651.159 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
1554042651.159 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
1554042651.159 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
1554042651.159 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
1554042651.159 * [taylor]: Taking taylor expansion of 1/2 in n
1554042651.159 * [backup-simplify]: Simplify 1/2 into 1/2
1554042651.159 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
1554042651.159 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1554042651.159 * [taylor]: Taking taylor expansion of k in n
1554042651.159 * [backup-simplify]: Simplify k into k
1554042651.159 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1554042651.159 * [taylor]: Taking taylor expansion of 1 in n
1554042651.159 * [backup-simplify]: Simplify 1 into 1
1554042651.159 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1554042651.159 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1554042651.159 * [taylor]: Taking taylor expansion of -2 in n
1554042651.159 * [backup-simplify]: Simplify -2 into -2
1554042651.159 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554042651.159 * [taylor]: Taking taylor expansion of PI in n
1554042651.159 * [backup-simplify]: Simplify PI into PI
1554042651.159 * [taylor]: Taking taylor expansion of n in n
1554042651.159 * [backup-simplify]: Simplify 0 into 0
1554042651.159 * [backup-simplify]: Simplify 1 into 1
1554042651.160 * [backup-simplify]: Simplify (/ PI 1) into PI
1554042651.160 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1554042651.161 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1554042651.161 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
1554042651.161 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
1554042651.163 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1554042651.164 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
1554042651.165 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
1554042651.165 * [taylor]: Taking taylor expansion of (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in n
1554042651.165 * [taylor]: Taking taylor expansion of (sqrt (/ k -1)) in n
1554042651.165 * [taylor]: Taking taylor expansion of (/ k -1) in n
1554042651.165 * [taylor]: Taking taylor expansion of k in n
1554042651.165 * [backup-simplify]: Simplify k into k
1554042651.165 * [taylor]: Taking taylor expansion of -1 in n
1554042651.165 * [backup-simplify]: Simplify -1 into -1
1554042651.165 * [backup-simplify]: Simplify (/ k -1) into (* -1 k)
1554042651.166 * [backup-simplify]: Simplify (sqrt (* -1 k)) into (sqrt (* -1 k))
1554042651.166 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 k) (/ 0 -1)))) into 0
1554042651.167 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* -1 k)))) into 0
1554042651.167 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
1554042651.167 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
1554042651.167 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
1554042651.167 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
1554042651.167 * [taylor]: Taking taylor expansion of 1/2 in n
1554042651.167 * [backup-simplify]: Simplify 1/2 into 1/2
1554042651.167 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
1554042651.167 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1554042651.167 * [taylor]: Taking taylor expansion of k in n
1554042651.167 * [backup-simplify]: Simplify k into k
1554042651.167 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1554042651.167 * [taylor]: Taking taylor expansion of 1 in n
1554042651.167 * [backup-simplify]: Simplify 1 into 1
1554042651.167 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1554042651.167 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1554042651.167 * [taylor]: Taking taylor expansion of -2 in n
1554042651.167 * [backup-simplify]: Simplify -2 into -2
1554042651.167 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554042651.167 * [taylor]: Taking taylor expansion of PI in n
1554042651.167 * [backup-simplify]: Simplify PI into PI
1554042651.167 * [taylor]: Taking taylor expansion of n in n
1554042651.167 * [backup-simplify]: Simplify 0 into 0
1554042651.167 * [backup-simplify]: Simplify 1 into 1
1554042651.168 * [backup-simplify]: Simplify (/ PI 1) into PI
1554042651.168 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1554042651.170 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1554042651.170 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
1554042651.170 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
1554042651.171 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1554042651.173 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
1554042651.174 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
1554042651.175 * [backup-simplify]: Simplify (* (sqrt (* -1 k)) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* (sqrt (* -1 k)) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
1554042651.175 * [taylor]: Taking taylor expansion of (* (sqrt (* -1 k)) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) in k
1554042651.175 * [taylor]: Taking taylor expansion of (sqrt (* -1 k)) in k
1554042651.175 * [taylor]: Taking taylor expansion of (* -1 k) in k
1554042651.175 * [taylor]: Taking taylor expansion of -1 in k
1554042651.175 * [backup-simplify]: Simplify -1 into -1
1554042651.175 * [taylor]: Taking taylor expansion of k in k
1554042651.175 * [backup-simplify]: Simplify 0 into 0
1554042651.175 * [backup-simplify]: Simplify 1 into 1
1554042651.176 * [backup-simplify]: Simplify (* -1 0) into 0
1554042651.176 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1
1554042651.177 * [backup-simplify]: Simplify (sqrt 0) into 0
1554042651.178 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1554042651.178 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
1554042651.178 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
1554042651.178 * [taylor]: Taking taylor expansion of 1/2 in k
1554042651.178 * [backup-simplify]: Simplify 1/2 into 1/2
1554042651.178 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
1554042651.178 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
1554042651.178 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1554042651.178 * [taylor]: Taking taylor expansion of k in k
1554042651.178 * [backup-simplify]: Simplify 0 into 0
1554042651.178 * [backup-simplify]: Simplify 1 into 1
1554042651.179 * [backup-simplify]: Simplify (/ 1 1) into 1
1554042651.179 * [taylor]: Taking taylor expansion of 1 in k
1554042651.179 * [backup-simplify]: Simplify 1 into 1
1554042651.179 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
1554042651.179 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
1554042651.179 * [taylor]: Taking taylor expansion of (* -2 PI) in k
1554042651.179 * [taylor]: Taking taylor expansion of -2 in k
1554042651.179 * [backup-simplify]: Simplify -2 into -2
1554042651.179 * [taylor]: Taking taylor expansion of PI in k
1554042651.179 * [backup-simplify]: Simplify PI into PI
1554042651.179 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1554042651.180 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1554042651.180 * [taylor]: Taking taylor expansion of (log n) in k
1554042651.180 * [taylor]: Taking taylor expansion of n in k
1554042651.180 * [backup-simplify]: Simplify n into n
1554042651.181 * [backup-simplify]: Simplify (log n) into (log n)
1554042651.181 * [backup-simplify]: Simplify (+ 1 0) into 1
1554042651.181 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1554042651.182 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
1554042651.183 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
1554042651.184 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
1554042651.185 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
1554042651.186 * [backup-simplify]: Simplify (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into 0
1554042651.186 * [backup-simplify]: Simplify 0 into 0
1554042651.187 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1554042651.188 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1554042651.190 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1554042651.190 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1554042651.190 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042651.191 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0
1554042651.192 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1554042651.193 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1554042651.195 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
1554042651.196 * [backup-simplify]: Simplify (+ (* (sqrt (* -1 k)) 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into 0
1554042651.196 * [taylor]: Taking taylor expansion of 0 in k
1554042651.196 * [backup-simplify]: Simplify 0 into 0
1554042651.196 * [backup-simplify]: Simplify 0 into 0
1554042651.198 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
1554042651.199 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
1554042651.200 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554042651.201 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1554042651.205 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0
1554042651.205 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1554042651.205 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042651.207 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
1554042651.208 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1554042651.209 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
1554042651.212 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1554042651.213 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 k) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
1554042651.214 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (* -1 k)))) into 0
1554042651.215 * [backup-simplify]: Simplify (+ (* (sqrt (* -1 k)) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))) into 0
1554042651.215 * [taylor]: Taking taylor expansion of 0 in k
1554042651.216 * [backup-simplify]: Simplify 0 into 0
1554042651.216 * [backup-simplify]: Simplify 0 into 0
1554042651.216 * [backup-simplify]: Simplify 0 into 0
1554042651.217 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0
1554042651.220 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1554042651.222 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
1554042651.223 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
1554042651.224 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554042651.225 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1554042651.237 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 PI) 1)))) 6) into 0
1554042651.237 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1554042651.238 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042651.239 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0
1554042651.241 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1554042651.243 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
1554042651.245 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1554042651.247 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 k) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
1554042651.248 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (* -1 k)))) into 0
1554042651.250 * [backup-simplify]: Simplify (+ (* (sqrt (* -1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))))) into 0
1554042651.250 * [taylor]: Taking taylor expansion of 0 in k
1554042651.250 * [backup-simplify]: Simplify 0 into 0
1554042651.250 * [backup-simplify]: Simplify 0 into 0
1554042651.250 * [backup-simplify]: Simplify 0 into 0
1554042651.250 * [backup-simplify]: Simplify 0 into 0
1554042651.251 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
1554042651.255 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1554042651.258 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
1554042651.259 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
1554042651.263 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* (/ 1 (- k)) 1) 3)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* (/ 1 (- k)) 1) 2)) (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (* (/ 1 (- k)) 1)))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)))))))
1554042651.263 * * * [progress]: simplifying candidates
1554042651.263 * * * * [progress]: [ 1 / 112 ] simplifiying candidate #<alt (λ (k n) (* (exp (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2))) (pow k -1/2)))>
1554042651.264 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2))
1554042651.264 * * [simplify]: iters left: 6 (13 enodes)
1554042651.271 * * [simplify]: iters left: 5 (54 enodes)
1554042651.290 * * [simplify]: iters left: 4 (97 enodes)
1554042651.330 * * [simplify]: iters left: 3 (242 enodes)
1554042651.426 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042651.426 * * [simplify]: Extracting #1: cost 28 inf + 0
1554042651.426 * * [simplify]: Extracting #2: cost 93 inf + 2
1554042651.427 * * [simplify]: Extracting #3: cost 139 inf + 75
1554042651.430 * * [simplify]: Extracting #4: cost 102 inf + 5195
1554042651.439 * * [simplify]: Extracting #5: cost 14 inf + 28777
1554042651.451 * * [simplify]: Extracting #6: cost 0 inf + 33789
1554042651.464 * [simplify]: Simplified to (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2)
1554042651.464 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2)) (pow k -1/2)))
1554042651.464 * * * * [progress]: [ 2 / 112 ] simplifiying candidate #<alt (λ (k n) (* (exp (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2))) (pow k -1/2)))>
1554042651.464 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2))
1554042651.464 * * [simplify]: iters left: 6 (12 enodes)
1554042651.472 * * [simplify]: iters left: 5 (52 enodes)
1554042651.489 * * [simplify]: iters left: 4 (90 enodes)
1554042651.519 * * [simplify]: iters left: 3 (201 enodes)
1554042651.596 * * [simplify]: iters left: 2 (496 enodes)
1554042651.899 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042651.899 * * [simplify]: Extracting #1: cost 22 inf + 0
1554042651.899 * * [simplify]: Extracting #2: cost 122 inf + 2
1554042651.901 * * [simplify]: Extracting #3: cost 296 inf + 186
1554042651.905 * * [simplify]: Extracting #4: cost 252 inf + 7310
1554042651.925 * * [simplify]: Extracting #5: cost 66 inf + 59079
1554042651.945 * * [simplify]: Extracting #6: cost 1 inf + 82178
1554042651.962 * * [simplify]: Extracting #7: cost 0 inf + 82436
1554042651.995 * [simplify]: Simplified to (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2)
1554042651.995 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2)) (pow k -1/2)))
1554042651.995 * * * * [progress]: [ 3 / 112 ] simplifiying candidate #<alt (λ (k n) (* (exp (* (log (* n (* 2 PI))) (/ (- 1 k) 2))) (pow k -1/2)))>
1554042651.995 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (- 1 k) 2))
1554042651.996 * * [simplify]: iters left: 6 (11 enodes)
1554042652.000 * * [simplify]: iters left: 5 (51 enodes)
1554042652.009 * * [simplify]: iters left: 4 (97 enodes)
1554042652.030 * * [simplify]: iters left: 3 (197 enodes)
1554042652.107 * * [simplify]: iters left: 2 (491 enodes)
1554042652.425 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042652.425 * * [simplify]: Extracting #1: cost 27 inf + 0
1554042652.426 * * [simplify]: Extracting #2: cost 139 inf + 2
1554042652.428 * * [simplify]: Extracting #3: cost 300 inf + 382
1554042652.437 * * [simplify]: Extracting #4: cost 242 inf + 10228
1554042652.458 * * [simplify]: Extracting #5: cost 53 inf + 57829
1554042652.486 * * [simplify]: Extracting #6: cost 2 inf + 73504
1554042652.503 * * [simplify]: Extracting #7: cost 0 inf + 74187
1554042652.526 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)
1554042652.526 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) (pow k -1/2)))
1554042652.526 * * * * [progress]: [ 4 / 112 ] simplifiying candidate #<alt (λ (k n) (* (exp (* (log (* n (* 2 PI))) (/ (- 1 k) 2))) (pow k -1/2)))>
1554042652.526 * * * * [progress]: [ 5 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (* 1 (/ (- 1 k) 2))) (pow k -1/2)))>
1554042652.527 * [simplify]: Simplifying (* n (* 2 PI))
1554042652.527 * * [simplify]: iters left: 4 (5 enodes)
1554042652.530 * * [simplify]: iters left: 3 (19 enodes)
1554042652.533 * * [simplify]: iters left: 2 (27 enodes)
1554042652.537 * * [simplify]: iters left: 1 (32 enodes)
1554042652.541 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042652.541 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042652.541 * * [simplify]: Extracting #2: cost 7 inf + 45
1554042652.542 * * [simplify]: Extracting #3: cost 0 inf + 421
1554042652.542 * [simplify]: Simplified to (* (* PI 2) n)
1554042652.542 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (pow k -1/2)))
1554042652.542 * * * * [progress]: [ 6 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (* 1 (/ (- 1 k) 2))) (pow k -1/2)))>
1554042652.542 * [simplify]: Simplifying (* n (* 2 PI))
1554042652.542 * * [simplify]: iters left: 4 (5 enodes)
1554042652.544 * * [simplify]: iters left: 3 (19 enodes)
1554042652.549 * * [simplify]: iters left: 2 (27 enodes)
1554042652.553 * * [simplify]: iters left: 1 (32 enodes)
1554042652.557 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042652.558 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042652.558 * * [simplify]: Extracting #2: cost 7 inf + 45
1554042652.558 * * [simplify]: Extracting #3: cost 0 inf + 421
1554042652.558 * [simplify]: Simplified to (* (* PI 2) n)
1554042652.558 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (pow k -1/2)))
1554042652.558 * * * * [progress]: [ 7 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (* 1 (/ (- 1 k) 2))) (pow k -1/2)))>
1554042652.558 * [simplify]: Simplifying (* n (* 2 PI))
1554042652.558 * * [simplify]: iters left: 4 (5 enodes)
1554042652.560 * * [simplify]: iters left: 3 (19 enodes)
1554042652.565 * * [simplify]: iters left: 2 (27 enodes)
1554042652.573 * * [simplify]: iters left: 1 (32 enodes)
1554042652.579 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042652.579 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042652.580 * * [simplify]: Extracting #2: cost 7 inf + 45
1554042652.580 * * [simplify]: Extracting #3: cost 0 inf + 421
1554042652.580 * [simplify]: Simplified to (* (* PI 2) n)
1554042652.580 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (pow k -1/2)))
1554042652.580 * * * * [progress]: [ 8 / 112 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ 1 2)) (pow (* n (* 2 PI)) (/ k 2))) (pow k -1/2)))>
1554042652.580 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ k 2))
1554042652.580 * * [simplify]: iters left: 5 (8 enodes)
1554042652.583 * * [simplify]: iters left: 4 (31 enodes)
1554042652.588 * * [simplify]: iters left: 3 (51 enodes)
1554042652.597 * * [simplify]: iters left: 2 (85 enodes)
1554042652.616 * * [simplify]: iters left: 1 (152 enodes)
1554042652.677 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042652.677 * * [simplify]: Extracting #1: cost 13 inf + 0
1554042652.677 * * [simplify]: Extracting #2: cost 59 inf + 1
1554042652.678 * * [simplify]: Extracting #3: cost 76 inf + 9
1554042652.679 * * [simplify]: Extracting #4: cost 41 inf + 3303
1554042652.682 * * [simplify]: Extracting #5: cost 16 inf + 10676
1554042652.688 * * [simplify]: Extracting #6: cost 0 inf + 21028
1554042652.693 * * [simplify]: Extracting #7: cost 0 inf + 20456
1554042652.698 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2))
1554042652.699 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (pow k -1/2)))
1554042652.699 * * * * [progress]: [ 9 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))) (pow k -1/2)))>
1554042652.699 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2))
1554042652.699 * * [simplify]: iters left: 5 (6 enodes)
1554042652.703 * * [simplify]: iters left: 4 (26 enodes)
1554042652.713 * * [simplify]: iters left: 3 (35 enodes)
1554042652.724 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042652.724 * * [simplify]: Extracting #1: cost 3 inf + 0
1554042652.724 * * [simplify]: Extracting #2: cost 8 inf + 0
1554042652.724 * * [simplify]: Extracting #3: cost 11 inf + 2
1554042652.724 * * [simplify]: Extracting #4: cost 8 inf + 87
1554042652.724 * * [simplify]: Extracting #5: cost 2 inf + 500
1554042652.724 * * [simplify]: Extracting #6: cost 0 inf + 746
1554042652.725 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2))
1554042652.725 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))) (pow k -1/2)))
1554042652.725 * * * * [progress]: [ 10 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (pow k -1/2)))>
1554042652.726 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2))
1554042652.726 * * [simplify]: iters left: 5 (6 enodes)
1554042652.730 * * [simplify]: iters left: 4 (26 enodes)
1554042652.738 * * [simplify]: iters left: 3 (35 enodes)
1554042652.743 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042652.743 * * [simplify]: Extracting #1: cost 3 inf + 0
1554042652.743 * * [simplify]: Extracting #2: cost 8 inf + 0
1554042652.743 * * [simplify]: Extracting #3: cost 11 inf + 2
1554042652.743 * * [simplify]: Extracting #4: cost 8 inf + 87
1554042652.744 * * [simplify]: Extracting #5: cost 2 inf + 460
1554042652.744 * * [simplify]: Extracting #6: cost 0 inf + 666
1554042652.744 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2))
1554042652.744 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (pow k -1/2)))
1554042652.744 * * * * [progress]: [ 11 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))) (pow k -1/2)))>
1554042652.744 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2))
1554042652.744 * * [simplify]: iters left: 5 (7 enodes)
1554042652.747 * * [simplify]: iters left: 4 (25 enodes)
1554042652.751 * * [simplify]: iters left: 3 (30 enodes)
1554042652.756 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042652.756 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042652.756 * * [simplify]: Extracting #2: cost 8 inf + 0
1554042652.756 * * [simplify]: Extracting #3: cost 10 inf + 82
1554042652.756 * * [simplify]: Extracting #4: cost 7 inf + 206
1554042652.756 * * [simplify]: Extracting #5: cost 2 inf + 575
1554042652.757 * * [simplify]: Extracting #6: cost 1 inf + 818
1554042652.757 * * [simplify]: Extracting #7: cost 0 inf + 1061
1554042652.757 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2))
1554042652.757 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))) (pow k -1/2)))
1554042652.757 * * * * [progress]: [ 12 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2))) (pow k -1/2)))>
1554042652.757 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2))
1554042652.757 * * [simplify]: iters left: 5 (7 enodes)
1554042652.760 * * [simplify]: iters left: 4 (25 enodes)
1554042652.764 * * [simplify]: iters left: 3 (30 enodes)
1554042652.769 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042652.770 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042652.770 * * [simplify]: Extracting #2: cost 8 inf + 0
1554042652.770 * * [simplify]: Extracting #3: cost 10 inf + 42
1554042652.770 * * [simplify]: Extracting #4: cost 7 inf + 126
1554042652.770 * * [simplify]: Extracting #5: cost 2 inf + 495
1554042652.770 * * [simplify]: Extracting #6: cost 1 inf + 698
1554042652.771 * * [simplify]: Extracting #7: cost 0 inf + 901
1554042652.771 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2))
1554042652.771 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2))) (pow k -1/2)))
1554042652.771 * * * * [progress]: [ 13 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2)) (pow k -1/2)))>
1554042652.771 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2)
1554042652.772 * * [simplify]: iters left: 5 (6 enodes)
1554042652.775 * * [simplify]: iters left: 4 (22 enodes)
1554042652.783 * * [simplify]: iters left: 3 (27 enodes)
1554042652.795 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042652.795 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042652.795 * * [simplify]: Extracting #2: cost 5 inf + 1
1554042652.795 * * [simplify]: Extracting #3: cost 9 inf + 1
1554042652.795 * * [simplify]: Extracting #4: cost 8 inf + 3
1554042652.796 * * [simplify]: Extracting #5: cost 4 inf + 169
1554042652.796 * * [simplify]: Extracting #6: cost 1 inf + 576
1554042652.796 * * [simplify]: Extracting #7: cost 0 inf + 739
1554042652.796 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2)
1554042652.796 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2)) (pow k -1/2)))
1554042652.797 * * * * [progress]: [ 14 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))) (pow k -1/2)))>
1554042652.797 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2))
1554042652.797 * * [simplify]: iters left: 5 (7 enodes)
1554042652.801 * * [simplify]: iters left: 4 (25 enodes)
1554042652.810 * * [simplify]: iters left: 3 (30 enodes)
1554042652.820 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042652.820 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042652.820 * * [simplify]: Extracting #2: cost 8 inf + 0
1554042652.820 * * [simplify]: Extracting #3: cost 10 inf + 82
1554042652.820 * * [simplify]: Extracting #4: cost 7 inf + 206
1554042652.820 * * [simplify]: Extracting #5: cost 2 inf + 495
1554042652.820 * * [simplify]: Extracting #6: cost 1 inf + 698
1554042652.821 * * [simplify]: Extracting #7: cost 0 inf + 901
1554042652.821 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2))
1554042652.821 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))) (pow k -1/2)))
1554042652.821 * * * * [progress]: [ 15 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))) (pow k -1/2)))>
1554042652.822 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2))
1554042652.822 * * [simplify]: iters left: 5 (7 enodes)
1554042652.826 * * [simplify]: iters left: 4 (25 enodes)
1554042652.834 * * [simplify]: iters left: 3 (30 enodes)
1554042652.839 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042652.839 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042652.839 * * [simplify]: Extracting #2: cost 8 inf + 0
1554042652.839 * * [simplify]: Extracting #3: cost 10 inf + 42
1554042652.839 * * [simplify]: Extracting #4: cost 7 inf + 126
1554042652.839 * * [simplify]: Extracting #5: cost 2 inf + 415
1554042652.839 * * [simplify]: Extracting #6: cost 1 inf + 578
1554042652.840 * * [simplify]: Extracting #7: cost 0 inf + 741
1554042652.840 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2))
1554042652.840 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))) (pow k -1/2)))
1554042652.840 * * * * [progress]: [ 16 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)) (pow k -1/2)))>
1554042652.840 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2)
1554042652.840 * * [simplify]: iters left: 5 (6 enodes)
1554042652.842 * * [simplify]: iters left: 4 (22 enodes)
1554042652.846 * * [simplify]: iters left: 3 (27 enodes)
1554042652.850 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042652.850 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042652.850 * * [simplify]: Extracting #2: cost 5 inf + 1
1554042652.850 * * [simplify]: Extracting #3: cost 9 inf + 1
1554042652.851 * * [simplify]: Extracting #4: cost 8 inf + 3
1554042652.851 * * [simplify]: Extracting #5: cost 4 inf + 169
1554042652.851 * * [simplify]: Extracting #6: cost 1 inf + 456
1554042652.851 * * [simplify]: Extracting #7: cost 0 inf + 579
1554042652.851 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2)
1554042652.851 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)) (pow k -1/2)))
1554042652.851 * * * * [progress]: [ 17 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (pow k -1/2)))>
1554042652.851 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2))
1554042652.851 * * [simplify]: iters left: 4 (6 enodes)
1554042652.853 * * [simplify]: iters left: 3 (25 enodes)
1554042652.858 * * [simplify]: iters left: 2 (36 enodes)
1554042652.864 * * [simplify]: iters left: 1 (40 enodes)
1554042652.870 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042652.870 * * [simplify]: Extracting #1: cost 7 inf + 0
1554042652.870 * * [simplify]: Extracting #2: cost 16 inf + 0
1554042652.870 * * [simplify]: Extracting #3: cost 13 inf + 44
1554042652.871 * * [simplify]: Extracting #4: cost 3 inf + 1103
1554042652.871 * * [simplify]: Extracting #5: cost 0 inf + 1469
1554042652.871 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2))
1554042652.871 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (pow k -1/2)))
1554042652.871 * * * * [progress]: [ 18 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (pow k -1/2)))>
1554042652.871 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2))
1554042652.871 * * [simplify]: iters left: 4 (6 enodes)
1554042652.873 * * [simplify]: iters left: 3 (25 enodes)
1554042652.879 * * [simplify]: iters left: 2 (36 enodes)
1554042652.890 * * [simplify]: iters left: 1 (40 enodes)
1554042652.903 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042652.903 * * [simplify]: Extracting #1: cost 7 inf + 0
1554042652.903 * * [simplify]: Extracting #2: cost 16 inf + 0
1554042652.903 * * [simplify]: Extracting #3: cost 13 inf + 44
1554042652.904 * * [simplify]: Extracting #4: cost 3 inf + 823
1554042652.904 * * [simplify]: Extracting #5: cost 0 inf + 1069
1554042652.905 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2))
1554042652.905 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (pow k -1/2)))
1554042652.905 * * * * [progress]: [ 19 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (pow k -1/2)))>
1554042652.905 * [simplify]: Simplifying (/ (- 1 k) 2)
1554042652.905 * * [simplify]: iters left: 4 (5 enodes)
1554042652.912 * * [simplify]: iters left: 3 (23 enodes)
1554042652.920 * * [simplify]: iters left: 2 (32 enodes)
1554042652.930 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042652.930 * * [simplify]: Extracting #1: cost 6 inf + 0
1554042652.930 * * [simplify]: Extracting #2: cost 9 inf + 2
1554042652.930 * * [simplify]: Extracting #3: cost 6 inf + 87
1554042652.931 * * [simplify]: Extracting #4: cost 0 inf + 420
1554042652.931 * [simplify]: Simplified to (/ (- 1 k) 2)
1554042652.931 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (pow k -1/2)))
1554042652.931 * * * * [progress]: [ 20 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- (sqrt 1) (sqrt k)) (cbrt 2))) (pow k -1/2)))>
1554042652.931 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2))
1554042652.932 * * [simplify]: iters left: 5 (8 enodes)
1554042652.937 * * [simplify]: iters left: 4 (31 enodes)
1554042652.946 * * [simplify]: iters left: 3 (45 enodes)
1554042652.953 * * [simplify]: iters left: 2 (51 enodes)
1554042652.961 * * [simplify]: iters left: 1 (52 enodes)
1554042652.968 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042652.968 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042652.968 * * [simplify]: Extracting #2: cost 18 inf + 0
1554042652.968 * * [simplify]: Extracting #3: cost 19 inf + 2
1554042652.968 * * [simplify]: Extracting #4: cost 9 inf + 977
1554042652.969 * * [simplify]: Extracting #5: cost 2 inf + 1790
1554042652.969 * * [simplify]: Extracting #6: cost 0 inf + 2195
1554042652.970 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2))
1554042652.970 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (pow k -1/2)))
1554042652.970 * * * * [progress]: [ 21 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- (sqrt 1) (sqrt k)) (sqrt 2))) (pow k -1/2)))>
1554042652.970 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2))
1554042652.970 * * [simplify]: iters left: 5 (8 enodes)
1554042652.973 * * [simplify]: iters left: 4 (31 enodes)
1554042652.984 * * [simplify]: iters left: 3 (45 enodes)
1554042652.997 * * [simplify]: iters left: 2 (51 enodes)
1554042653.012 * * [simplify]: iters left: 1 (52 enodes)
1554042653.026 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042653.027 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042653.027 * * [simplify]: Extracting #2: cost 18 inf + 0
1554042653.027 * * [simplify]: Extracting #3: cost 19 inf + 2
1554042653.027 * * [simplify]: Extracting #4: cost 9 inf + 697
1554042653.028 * * [simplify]: Extracting #5: cost 2 inf + 1390
1554042653.028 * * [simplify]: Extracting #6: cost 0 inf + 1715
1554042653.029 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2))
1554042653.029 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (pow k -1/2)))
1554042653.029 * * * * [progress]: [ 22 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- (sqrt 1) (sqrt k)) 2)) (pow k -1/2)))>
1554042653.030 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2)
1554042653.030 * * [simplify]: iters left: 5 (7 enodes)
1554042653.035 * * [simplify]: iters left: 4 (29 enodes)
1554042653.045 * * [simplify]: iters left: 3 (43 enodes)
1554042653.060 * * [simplify]: iters left: 2 (47 enodes)
1554042653.073 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042653.073 * * [simplify]: Extracting #1: cost 7 inf + 0
1554042653.073 * * [simplify]: Extracting #2: cost 11 inf + 2
1554042653.073 * * [simplify]: Extracting #3: cost 13 inf + 3
1554042653.073 * * [simplify]: Extracting #4: cost 11 inf + 45
1554042653.073 * * [simplify]: Extracting #5: cost 0 inf + 1066
1554042653.074 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2)
1554042653.074 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (pow k -1/2)))
1554042653.074 * * * * [progress]: [ 23 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (pow k -1/2)))>
1554042653.074 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2))
1554042653.075 * * [simplify]: iters left: 5 (7 enodes)
1554042653.079 * * [simplify]: iters left: 4 (28 enodes)
1554042653.089 * * [simplify]: iters left: 3 (39 enodes)
1554042653.101 * * [simplify]: iters left: 2 (43 enodes)
1554042653.114 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042653.114 * * [simplify]: Extracting #1: cost 7 inf + 0
1554042653.115 * * [simplify]: Extracting #2: cost 16 inf + 0
1554042653.115 * * [simplify]: Extracting #3: cost 15 inf + 164
1554042653.115 * * [simplify]: Extracting #4: cost 13 inf + 287
1554042653.115 * * [simplify]: Extracting #5: cost 5 inf + 1180
1554042653.116 * * [simplify]: Extracting #6: cost 0 inf + 1951
1554042653.116 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2))
1554042653.117 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (pow k -1/2)))
1554042653.117 * * * * [progress]: [ 24 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (pow k -1/2)))>
1554042653.117 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2))
1554042653.117 * * [simplify]: iters left: 5 (7 enodes)
1554042653.122 * * [simplify]: iters left: 4 (28 enodes)
1554042653.132 * * [simplify]: iters left: 3 (39 enodes)
1554042653.145 * * [simplify]: iters left: 2 (43 enodes)
1554042653.159 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042653.159 * * [simplify]: Extracting #1: cost 7 inf + 0
1554042653.159 * * [simplify]: Extracting #2: cost 16 inf + 0
1554042653.159 * * [simplify]: Extracting #3: cost 15 inf + 84
1554042653.159 * * [simplify]: Extracting #4: cost 13 inf + 167
1554042653.159 * * [simplify]: Extracting #5: cost 5 inf + 900
1554042653.160 * * [simplify]: Extracting #6: cost 0 inf + 1551
1554042653.161 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2))
1554042653.161 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (pow k -1/2)))
1554042653.161 * * * * [progress]: [ 25 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (pow k -1/2)))>
1554042653.161 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2)
1554042653.161 * * [simplify]: iters left: 5 (6 enodes)
1554042653.165 * * [simplify]: iters left: 4 (26 enodes)
1554042653.170 * * [simplify]: iters left: 3 (35 enodes)
1554042653.176 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042653.176 * * [simplify]: Extracting #1: cost 6 inf + 0
1554042653.176 * * [simplify]: Extracting #2: cost 9 inf + 2
1554042653.176 * * [simplify]: Extracting #3: cost 11 inf + 3
1554042653.176 * * [simplify]: Extracting #4: cost 10 inf + 4
1554042653.176 * * [simplify]: Extracting #5: cost 3 inf + 535
1554042653.176 * * [simplify]: Extracting #6: cost 0 inf + 822
1554042653.176 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2)
1554042653.176 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (pow k -1/2)))
1554042653.177 * * * * [progress]: [ 26 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (pow k -1/2)))>
1554042653.177 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2))
1554042653.177 * * [simplify]: iters left: 4 (6 enodes)
1554042653.179 * * [simplify]: iters left: 3 (25 enodes)
1554042653.184 * * [simplify]: iters left: 2 (36 enodes)
1554042653.190 * * [simplify]: iters left: 1 (40 enodes)
1554042653.199 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042653.200 * * [simplify]: Extracting #1: cost 7 inf + 0
1554042653.200 * * [simplify]: Extracting #2: cost 16 inf + 0
1554042653.200 * * [simplify]: Extracting #3: cost 13 inf + 44
1554042653.200 * * [simplify]: Extracting #4: cost 3 inf + 1103
1554042653.201 * * [simplify]: Extracting #5: cost 0 inf + 1469
1554042653.201 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2))
1554042653.201 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (pow k -1/2)))
1554042653.201 * * * * [progress]: [ 27 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (pow k -1/2)))>
1554042653.202 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2))
1554042653.202 * * [simplify]: iters left: 4 (6 enodes)
1554042653.206 * * [simplify]: iters left: 3 (25 enodes)
1554042653.215 * * [simplify]: iters left: 2 (36 enodes)
1554042653.226 * * [simplify]: iters left: 1 (40 enodes)
1554042653.239 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042653.239 * * [simplify]: Extracting #1: cost 7 inf + 0
1554042653.239 * * [simplify]: Extracting #2: cost 16 inf + 0
1554042653.239 * * [simplify]: Extracting #3: cost 13 inf + 44
1554042653.239 * * [simplify]: Extracting #4: cost 3 inf + 823
1554042653.240 * * [simplify]: Extracting #5: cost 0 inf + 1069
1554042653.240 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2))
1554042653.240 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (pow k -1/2)))
1554042653.240 * * * * [progress]: [ 28 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (pow k -1/2)))>
1554042653.241 * [simplify]: Simplifying (/ (- 1 k) 2)
1554042653.241 * * [simplify]: iters left: 4 (5 enodes)
1554042653.245 * * [simplify]: iters left: 3 (23 enodes)
1554042653.253 * * [simplify]: iters left: 2 (32 enodes)
1554042653.263 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042653.263 * * [simplify]: Extracting #1: cost 6 inf + 0
1554042653.263 * * [simplify]: Extracting #2: cost 9 inf + 2
1554042653.263 * * [simplify]: Extracting #3: cost 6 inf + 87
1554042653.263 * * [simplify]: Extracting #4: cost 0 inf + 420
1554042653.263 * [simplify]: Simplified to (/ (- 1 k) 2)
1554042653.263 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (pow k -1/2)))
1554042653.264 * * * * [progress]: [ 29 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (pow k -1/2)))>
1554042653.264 * [simplify]: Simplifying (/ (- 1 k) 2)
1554042653.264 * * [simplify]: iters left: 4 (5 enodes)
1554042653.268 * * [simplify]: iters left: 3 (23 enodes)
1554042653.276 * * [simplify]: iters left: 2 (32 enodes)
1554042653.286 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042653.286 * * [simplify]: Extracting #1: cost 6 inf + 0
1554042653.286 * * [simplify]: Extracting #2: cost 9 inf + 2
1554042653.287 * * [simplify]: Extracting #3: cost 6 inf + 87
1554042653.287 * * [simplify]: Extracting #4: cost 0 inf + 420
1554042653.287 * [simplify]: Simplified to (/ (- 1 k) 2)
1554042653.287 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (pow k -1/2)))
1554042653.287 * * * * [progress]: [ 30 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (- 1 k)) (/ 1 2)) (pow k -1/2)))>
1554042653.288 * [simplify]: Simplifying (/ 1 2)
1554042653.288 * * [simplify]: iters left: 2 (3 enodes)
1554042653.291 * * [simplify]: iters left: 1 (12 enodes)
1554042653.295 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042653.295 * * [simplify]: Extracting #1: cost 0 inf + 1
1554042653.295 * [simplify]: Simplified to 1/2
1554042653.295 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (- 1 k)) 1/2) (pow k -1/2)))
1554042653.296 * * * * [progress]: [ 31 / 112 ] simplifiying candidate #<alt (λ (k n) (* (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow k -1/2)))>
1554042653.296 * [simplify]: Simplifying (pow n (/ (- 1 k) 2))
1554042653.296 * * [simplify]: iters left: 5 (7 enodes)
1554042653.301 * * [simplify]: iters left: 4 (32 enodes)
1554042653.314 * * [simplify]: iters left: 3 (57 enodes)
1554042653.334 * * [simplify]: iters left: 2 (88 enodes)
1554042653.369 * * [simplify]: iters left: 1 (156 enodes)
1554042653.434 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042653.434 * * [simplify]: Extracting #1: cost 13 inf + 0
1554042653.434 * * [simplify]: Extracting #2: cost 49 inf + 2
1554042653.435 * * [simplify]: Extracting #3: cost 80 inf + 6
1554042653.436 * * [simplify]: Extracting #4: cost 58 inf + 1840
1554042653.439 * * [simplify]: Extracting #5: cost 22 inf + 9206
1554042653.444 * * [simplify]: Extracting #6: cost 1 inf + 20886
1554042653.451 * * [simplify]: Extracting #7: cost 0 inf + 21301
1554042653.457 * * [simplify]: Extracting #8: cost 0 inf + 21130
1554042653.463 * [simplify]: Simplified to (pow n (/ (- 1 k) 2))
1554042653.463 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow k -1/2)))
1554042653.463 * * * * [progress]: [ 32 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (pow k -1/2)))>
1554042653.463 * * * * [progress]: [ 33 / 112 ] simplifiying candidate #<alt (λ (k n) (* (exp (log (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (pow k -1/2)))>
1554042653.463 * * * * [progress]: [ 34 / 112 ] simplifiying candidate #<alt (λ (k n) (* (log (exp (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (pow k -1/2)))>
1554042653.463 * * * * [progress]: [ 35 / 112 ] simplifiying candidate #<alt (λ (k n) (* (* (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (pow k -1/2)))>
1554042653.463 * * * * [progress]: [ 36 / 112 ] simplifiying candidate #<alt (λ (k n) (* (cbrt (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (pow k -1/2)))>
1554042653.463 * * * * [progress]: [ 37 / 112 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (pow k -1/2)))>
1554042653.464 * * * * [progress]: [ 38 / 112 ] simplifiying candidate #<alt (λ (k n) (* (* 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow k -1/2)))>
1554042653.464 * * * * [progress]: [ 39 / 112 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (pow k -1/2)))>
1554042653.464 * * * * [progress]: [ 40 / 112 ] simplifiying candidate #<alt (λ (k n) (* (posit16->real (real->posit16 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (pow k -1/2)))>
1554042653.464 * * * * [progress]: [ 41 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (pow k -1/2)))>
1554042653.464 * [simplify]: Simplifying (* n (* 2 PI))
1554042653.464 * * [simplify]: iters left: 4 (5 enodes)
1554042653.467 * * [simplify]: iters left: 3 (19 enodes)
1554042653.473 * * [simplify]: iters left: 2 (27 enodes)
1554042653.482 * * [simplify]: iters left: 1 (32 enodes)
1554042653.490 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042653.490 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042653.490 * * [simplify]: Extracting #2: cost 7 inf + 45
1554042653.490 * * [simplify]: Extracting #3: cost 0 inf + 421
1554042653.491 * [simplify]: Simplified to (* (* PI 2) n)
1554042653.491 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (pow k -1/2)))
1554042653.491 * * * * [progress]: [ 42 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (pow k -1/2)))>
1554042653.491 * [simplify]: Simplifying (* n (* 2 PI))
1554042653.491 * * [simplify]: iters left: 4 (5 enodes)
1554042653.494 * * [simplify]: iters left: 3 (19 enodes)
1554042653.501 * * [simplify]: iters left: 2 (27 enodes)
1554042653.509 * * [simplify]: iters left: 1 (32 enodes)
1554042653.521 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042653.522 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042653.522 * * [simplify]: Extracting #2: cost 7 inf + 45
1554042653.522 * * [simplify]: Extracting #3: cost 0 inf + 421
1554042653.522 * [simplify]: Simplified to (* (* PI 2) n)
1554042653.522 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (pow k -1/2)))
1554042653.522 * * * * [progress]: [ 43 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (pow k -1/2)))>
1554042653.522 * * * * [progress]: [ 44 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (- 1 k) 2)) (pow k -1/2)))>
1554042653.523 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI)))
1554042653.523 * * [simplify]: iters left: 5 (8 enodes)
1554042653.527 * * [simplify]: iters left: 4 (28 enodes)
1554042653.536 * * [simplify]: iters left: 3 (36 enodes)
1554042653.547 * * [simplify]: iters left: 2 (42 enodes)
1554042653.557 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042653.557 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042653.557 * * [simplify]: Extracting #2: cost 17 inf + 0
1554042653.558 * * [simplify]: Extracting #3: cost 12 inf + 145
1554042653.558 * * [simplify]: Extracting #4: cost 5 inf + 1197
1554042653.558 * * [simplify]: Extracting #5: cost 1 inf + 1925
1554042653.558 * * [simplify]: Extracting #6: cost 0 inf + 2107
1554042653.559 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI)))
1554042653.559 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (- 1 k) 2)) (pow k -1/2)))
1554042653.559 * * * * [progress]: [ 45 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow (exp (+ (log n) (log (* 2 PI)))) (/ (- 1 k) 2)) (pow k -1/2)))>
1554042653.559 * [simplify]: Simplifying (+ (log n) (log (* 2 PI)))
1554042653.559 * * [simplify]: iters left: 5 (7 enodes)
1554042653.561 * * [simplify]: iters left: 4 (26 enodes)
1554042653.565 * * [simplify]: iters left: 3 (35 enodes)
1554042653.571 * * [simplify]: iters left: 2 (44 enodes)
1554042653.577 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042653.577 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042653.577 * * [simplify]: Extracting #2: cost 18 inf + 0
1554042653.577 * * [simplify]: Extracting #3: cost 15 inf + 74
1554042653.577 * * [simplify]: Extracting #4: cost 8 inf + 554
1554042653.577 * * [simplify]: Extracting #5: cost 0 inf + 1911
1554042653.578 * [simplify]: Simplified to (+ (log n) (log (* 2 PI)))
1554042653.578 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (exp (+ (log n) (log (* 2 PI)))) (/ (- 1 k) 2)) (pow k -1/2)))
1554042653.578 * * * * [progress]: [ 46 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow (exp (log (* n (* 2 PI)))) (/ (- 1 k) 2)) (pow k -1/2)))>
1554042653.578 * * * * [progress]: [ 47 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow (log (exp (* n (* 2 PI)))) (/ (- 1 k) 2)) (pow k -1/2)))>
1554042653.578 * * * * [progress]: [ 48 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow (cbrt (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI)))) (/ (- 1 k) 2)) (pow k -1/2)))>
1554042653.578 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI)))
1554042653.578 * * [simplify]: iters left: 6 (11 enodes)
1554042653.583 * * [simplify]: iters left: 5 (48 enodes)
1554042653.595 * * [simplify]: iters left: 4 (121 enodes)
1554042653.641 * * [simplify]: iters left: 3 (348 enodes)
1554042653.884 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042653.884 * * [simplify]: Extracting #1: cost 67 inf + 0
1554042653.885 * * [simplify]: Extracting #2: cost 165 inf + 786
1554042653.888 * * [simplify]: Extracting #3: cost 85 inf + 10177
1554042653.894 * * [simplify]: Extracting #4: cost 9 inf + 26399
1554042653.904 * * [simplify]: Extracting #5: cost 0 inf + 28546
1554042653.910 * * [simplify]: Extracting #6: cost 0 inf + 28506
1554042653.916 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI))
1554042653.916 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (cbrt (* (* (* (* n PI) (* n PI)) 8) (* n PI))) (/ (- 1 k) 2)) (pow k -1/2)))
1554042653.917 * * * * [progress]: [ 49 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow (cbrt (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))) (/ (- 1 k) 2)) (pow k -1/2)))>
1554042653.917 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))
1554042653.917 * * [simplify]: iters left: 6 (9 enodes)
1554042653.921 * * [simplify]: iters left: 5 (45 enodes)
1554042653.936 * * [simplify]: iters left: 4 (117 enodes)
1554042653.977 * * [simplify]: iters left: 3 (374 enodes)
1554042654.257 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042654.257 * * [simplify]: Extracting #1: cost 77 inf + 0
1554042654.258 * * [simplify]: Extracting #2: cost 184 inf + 984
1554042654.262 * * [simplify]: Extracting #3: cost 106 inf + 11690
1554042654.281 * * [simplify]: Extracting #4: cost 6 inf + 30376
1554042654.300 * * [simplify]: Extracting #5: cost 0 inf + 31644
1554042654.318 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n))
1554042654.319 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (- 1 k) 2)) (pow k -1/2)))
1554042654.319 * * * * [progress]: [ 50 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (- 1 k) 2)) (pow k -1/2)))>
1554042654.319 * * * * [progress]: [ 51 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow (cbrt (* (* (* n (* 2 PI)) (* n (* 2 PI))) (* n (* 2 PI)))) (/ (- 1 k) 2)) (pow k -1/2)))>
1554042654.319 * * * * [progress]: [ 52 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (sqrt (* n (* 2 PI))) (sqrt (* n (* 2 PI)))) (/ (- 1 k) 2)) (pow k -1/2)))>
1554042654.319 * * * * [progress]: [ 53 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 1 (* n (* 2 PI))) (/ (- 1 k) 2)) (pow k -1/2)))>
1554042654.319 * * * * [progress]: [ 54 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* n 2) PI) (/ (- 1 k) 2)) (pow k -1/2)))>
1554042654.319 * * * * [progress]: [ 55 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (- 1 k) 2)) (pow k -1/2)))>
1554042654.319 * [simplify]: Simplifying (* (cbrt n) (cbrt n))
1554042654.320 * * [simplify]: iters left: 3 (3 enodes)
1554042654.321 * * [simplify]: iters left: 2 (9 enodes)
1554042654.324 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042654.324 * * [simplify]: Extracting #1: cost 3 inf + 0
1554042654.324 * * [simplify]: Extracting #2: cost 5 inf + 0
1554042654.324 * * [simplify]: Extracting #3: cost 4 inf + 1
1554042654.324 * * [simplify]: Extracting #4: cost 0 inf + 405
1554042654.324 * [simplify]: Simplified to (* (cbrt n) (cbrt n))
1554042654.324 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (- 1 k) 2)) (pow k -1/2)))
1554042654.324 * * * * [progress]: [ 56 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (- 1 k) 2)) (pow k -1/2)))>
1554042654.325 * [simplify]: Simplifying (sqrt n)
1554042654.325 * * [simplify]: iters left: 1 (2 enodes)
1554042654.326 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042654.326 * * [simplify]: Extracting #1: cost 3 inf + 0
1554042654.326 * * [simplify]: Extracting #2: cost 2 inf + 1
1554042654.326 * * [simplify]: Extracting #3: cost 0 inf + 83
1554042654.326 * [simplify]: Simplified to (sqrt n)
1554042654.326 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (- 1 k) 2)) (pow k -1/2)))
1554042654.326 * * * * [progress]: [ 57 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 1 (* n (* 2 PI))) (/ (- 1 k) 2)) (pow k -1/2)))>
1554042654.326 * * * * [progress]: [ 58 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow (posit16->real (real->posit16 (* n (* 2 PI)))) (/ (- 1 k) 2)) (pow k -1/2)))>
1554042654.326 * * * * [progress]: [ 59 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow k -1/2)))>
1554042654.326 * * * * [progress]: [ 60 / 112 ] simplifiying candidate #<alt (λ (k n) (pow (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2)) 1))>
1554042654.326 * * * * [progress]: [ 61 / 112 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (* (log k) -1/2))))>
1554042654.327 * [simplify]: Simplifying (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (* (log k) -1/2))
1554042654.327 * * [simplify]: iters left: 6 (17 enodes)
1554042654.337 * * [simplify]: iters left: 5 (68 enodes)
1554042654.360 * * [simplify]: iters left: 4 (111 enodes)
1554042654.386 * * [simplify]: iters left: 3 (282 enodes)
1554042654.499 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042654.499 * * [simplify]: Extracting #1: cost 23 inf + 0
1554042654.499 * * [simplify]: Extracting #2: cost 75 inf + 0
1554042654.499 * * [simplify]: Extracting #3: cost 133 inf + 74
1554042654.500 * * [simplify]: Extracting #4: cost 147 inf + 1616
1554042654.504 * * [simplify]: Extracting #5: cost 51 inf + 24674
1554042654.516 * * [simplify]: Extracting #6: cost 1 inf + 41199
1554042654.531 * * [simplify]: Extracting #7: cost 0 inf + 41695
1554042654.544 * [simplify]: Simplified to (+ (* -1/2 (log k)) (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2))
1554042654.544 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* -1/2 (log k)) (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2))))
1554042654.544 * * * * [progress]: [ 62 / 112 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (* (log k) -1/2))))>
1554042654.544 * [simplify]: Simplifying (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (* (log k) -1/2))
1554042654.544 * * [simplify]: iters left: 6 (17 enodes)
1554042654.550 * * [simplify]: iters left: 5 (68 enodes)
1554042654.561 * * [simplify]: iters left: 4 (111 enodes)
1554042654.595 * * [simplify]: iters left: 3 (282 enodes)
1554042654.681 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042654.681 * * [simplify]: Extracting #1: cost 23 inf + 0
1554042654.682 * * [simplify]: Extracting #2: cost 75 inf + 0
1554042654.682 * * [simplify]: Extracting #3: cost 133 inf + 74
1554042654.683 * * [simplify]: Extracting #4: cost 147 inf + 1616
1554042654.686 * * [simplify]: Extracting #5: cost 51 inf + 24674
1554042654.699 * * [simplify]: Extracting #6: cost 1 inf + 41199
1554042654.715 * * [simplify]: Extracting #7: cost 0 inf + 41695
1554042654.731 * [simplify]: Simplified to (+ (* -1/2 (log k)) (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2))
1554042654.731 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* -1/2 (log k)) (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2))))
1554042654.731 * * * * [progress]: [ 63 / 112 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (log (pow k -1/2)))))>
1554042654.731 * [simplify]: Simplifying (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (log (pow k -1/2)))
1554042654.731 * * [simplify]: iters left: 6 (17 enodes)
1554042654.742 * * [simplify]: iters left: 5 (73 enodes)
1554042654.767 * * [simplify]: iters left: 4 (133 enodes)
1554042654.824 * * [simplify]: iters left: 3 (343 enodes)
1554042654.955 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042654.955 * * [simplify]: Extracting #1: cost 25 inf + 0
1554042654.956 * * [simplify]: Extracting #2: cost 107 inf + 0
1554042654.956 * * [simplify]: Extracting #3: cost 175 inf + 76
1554042654.958 * * [simplify]: Extracting #4: cost 185 inf + 2803
1554042654.965 * * [simplify]: Extracting #5: cost 93 inf + 27047
1554042654.984 * * [simplify]: Extracting #6: cost 7 inf + 55737
1554042655.004 * * [simplify]: Extracting #7: cost 0 inf + 57959
1554042655.014 * [simplify]: Simplified to (+ (* (log k) -1/2) (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2))
1554042655.015 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (log k) -1/2) (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2))))
1554042655.015 * * * * [progress]: [ 64 / 112 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (* (log k) -1/2))))>
1554042655.015 * [simplify]: Simplifying (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (* (log k) -1/2))
1554042655.015 * * [simplify]: iters left: 6 (16 enodes)
1554042655.020 * * [simplify]: iters left: 5 (66 enodes)
1554042655.031 * * [simplify]: iters left: 4 (104 enodes)
1554042655.067 * * [simplify]: iters left: 3 (230 enodes)
1554042655.142 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042655.142 * * [simplify]: Extracting #1: cost 18 inf + 0
1554042655.143 * * [simplify]: Extracting #2: cost 63 inf + 0
1554042655.143 * * [simplify]: Extracting #3: cost 116 inf + 74
1554042655.144 * * [simplify]: Extracting #4: cost 133 inf + 1155
1554042655.147 * * [simplify]: Extracting #5: cost 41 inf + 21657
1554042655.155 * * [simplify]: Extracting #6: cost 0 inf + 33278
1554042655.162 * * [simplify]: Extracting #7: cost 0 inf + 33277
1554042655.168 * [simplify]: Simplified to (+ (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (* -1/2 (log k)))
1554042655.168 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (* -1/2 (log k)))))
1554042655.169 * * * * [progress]: [ 65 / 112 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (* (log k) -1/2))))>
1554042655.169 * [simplify]: Simplifying (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (* (log k) -1/2))
1554042655.169 * * [simplify]: iters left: 6 (16 enodes)
1554042655.175 * * [simplify]: iters left: 5 (66 enodes)
1554042655.196 * * [simplify]: iters left: 4 (104 enodes)
1554042655.235 * * [simplify]: iters left: 3 (230 enodes)
1554042655.321 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042655.321 * * [simplify]: Extracting #1: cost 18 inf + 0
1554042655.321 * * [simplify]: Extracting #2: cost 63 inf + 0
1554042655.322 * * [simplify]: Extracting #3: cost 116 inf + 74
1554042655.323 * * [simplify]: Extracting #4: cost 133 inf + 1155
1554042655.329 * * [simplify]: Extracting #5: cost 41 inf + 21657
1554042655.342 * * [simplify]: Extracting #6: cost 0 inf + 33278
1554042655.356 * * [simplify]: Extracting #7: cost 0 inf + 33277
1554042655.369 * [simplify]: Simplified to (+ (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (* -1/2 (log k)))
1554042655.369 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (* -1/2 (log k)))))
1554042655.369 * * * * [progress]: [ 66 / 112 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (log (pow k -1/2)))))>
1554042655.369 * [simplify]: Simplifying (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (log (pow k -1/2)))
1554042655.370 * * [simplify]: iters left: 6 (16 enodes)
1554042655.376 * * [simplify]: iters left: 5 (71 enodes)
1554042655.393 * * [simplify]: iters left: 4 (126 enodes)
1554042655.428 * * [simplify]: iters left: 3 (292 enodes)
1554042655.542 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042655.543 * * [simplify]: Extracting #1: cost 20 inf + 0
1554042655.543 * * [simplify]: Extracting #2: cost 88 inf + 0
1554042655.543 * * [simplify]: Extracting #3: cost 147 inf + 76
1554042655.544 * * [simplify]: Extracting #4: cost 174 inf + 800
1554042655.547 * * [simplify]: Extracting #5: cost 88 inf + 21198
1554042655.553 * * [simplify]: Extracting #6: cost 14 inf + 42245
1554042655.561 * * [simplify]: Extracting #7: cost 1 inf + 44843
1554042655.569 * * [simplify]: Extracting #8: cost 0 inf + 45103
1554042655.582 * [simplify]: Simplified to (+ (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (* -1/2 (log k)))
1554042655.582 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (* -1/2 (log k)))))
1554042655.582 * * * * [progress]: [ 67 / 112 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (* (log k) -1/2))))>
1554042655.582 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (* (log k) -1/2))
1554042655.583 * * [simplify]: iters left: 6 (15 enodes)
1554042655.597 * * [simplify]: iters left: 5 (65 enodes)
1554042655.619 * * [simplify]: iters left: 4 (111 enodes)
1554042655.645 * * [simplify]: iters left: 3 (219 enodes)
1554042655.710 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042655.710 * * [simplify]: Extracting #1: cost 15 inf + 0
1554042655.710 * * [simplify]: Extracting #2: cost 60 inf + 0
1554042655.711 * * [simplify]: Extracting #3: cost 114 inf + 74
1554042655.712 * * [simplify]: Extracting #4: cost 135 inf + 1165
1554042655.716 * * [simplify]: Extracting #5: cost 67 inf + 12074
1554042655.722 * * [simplify]: Extracting #6: cost 8 inf + 27789
1554042655.728 * * [simplify]: Extracting #7: cost 0 inf + 29852
1554042655.734 * [simplify]: Simplified to (+ (* (log k) -1/2) (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2))
1554042655.734 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (log k) -1/2) (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2))))
1554042655.734 * * * * [progress]: [ 68 / 112 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (* (log k) -1/2))))>
1554042655.734 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (* (log k) -1/2))
1554042655.734 * * [simplify]: iters left: 6 (15 enodes)
1554042655.739 * * [simplify]: iters left: 5 (65 enodes)
1554042655.751 * * [simplify]: iters left: 4 (111 enodes)
1554042655.789 * * [simplify]: iters left: 3 (219 enodes)
1554042655.863 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042655.863 * * [simplify]: Extracting #1: cost 15 inf + 0
1554042655.863 * * [simplify]: Extracting #2: cost 60 inf + 0
1554042655.864 * * [simplify]: Extracting #3: cost 114 inf + 74
1554042655.864 * * [simplify]: Extracting #4: cost 135 inf + 1165
1554042655.866 * * [simplify]: Extracting #5: cost 67 inf + 12074
1554042655.871 * * [simplify]: Extracting #6: cost 8 inf + 27789
1554042655.877 * * [simplify]: Extracting #7: cost 0 inf + 29852
1554042655.886 * [simplify]: Simplified to (+ (* (log k) -1/2) (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2))
1554042655.886 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (log k) -1/2) (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2))))
1554042655.886 * * * * [progress]: [ 69 / 112 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (pow k -1/2)))))>
1554042655.887 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (pow k -1/2)))
1554042655.887 * * [simplify]: iters left: 6 (15 enodes)
1554042655.892 * * [simplify]: iters left: 5 (70 enodes)
1554042655.917 * * [simplify]: iters left: 4 (133 enodes)
1554042655.968 * * [simplify]: iters left: 3 (280 enodes)
1554042656.101 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042656.101 * * [simplify]: Extracting #1: cost 19 inf + 0
1554042656.101 * * [simplify]: Extracting #2: cost 86 inf + 0
1554042656.102 * * [simplify]: Extracting #3: cost 147 inf + 5
1554042656.104 * * [simplify]: Extracting #4: cost 174 inf + 1165
1554042656.108 * * [simplify]: Extracting #5: cost 101 inf + 14469
1554042656.114 * * [simplify]: Extracting #6: cost 17 inf + 38184
1554042656.122 * * [simplify]: Extracting #7: cost 0 inf + 41460
1554042656.137 * * [simplify]: Extracting #8: cost 0 inf + 41290
1554042656.150 * [simplify]: Simplified to (+ (* -1/2 (log k)) (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2))
1554042656.150 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* -1/2 (log k)) (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2))))
1554042656.151 * * * * [progress]: [ 70 / 112 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (* (log k) -1/2))))>
1554042656.151 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (* (log k) -1/2))
1554042656.151 * * [simplify]: iters left: 6 (15 enodes)
1554042656.160 * * [simplify]: iters left: 5 (65 enodes)
1554042656.172 * * [simplify]: iters left: 4 (111 enodes)
1554042656.195 * * [simplify]: iters left: 3 (219 enodes)
1554042656.271 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042656.272 * * [simplify]: Extracting #1: cost 15 inf + 0
1554042656.272 * * [simplify]: Extracting #2: cost 60 inf + 0
1554042656.272 * * [simplify]: Extracting #3: cost 114 inf + 74
1554042656.274 * * [simplify]: Extracting #4: cost 135 inf + 1165
1554042656.278 * * [simplify]: Extracting #5: cost 67 inf + 12074
1554042656.288 * * [simplify]: Extracting #6: cost 8 inf + 27789
1554042656.301 * * [simplify]: Extracting #7: cost 0 inf + 29852
1554042656.313 * [simplify]: Simplified to (+ (* (log k) -1/2) (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2))
1554042656.313 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (log k) -1/2) (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2))))
1554042656.313 * * * * [progress]: [ 71 / 112 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (* (log k) -1/2))))>
1554042656.314 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (* (log k) -1/2))
1554042656.314 * * [simplify]: iters left: 6 (15 enodes)
1554042656.323 * * [simplify]: iters left: 5 (65 enodes)
1554042656.345 * * [simplify]: iters left: 4 (111 enodes)
1554042656.385 * * [simplify]: iters left: 3 (219 enodes)
1554042656.488 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042656.488 * * [simplify]: Extracting #1: cost 15 inf + 0
1554042656.488 * * [simplify]: Extracting #2: cost 60 inf + 0
1554042656.488 * * [simplify]: Extracting #3: cost 114 inf + 74
1554042656.489 * * [simplify]: Extracting #4: cost 135 inf + 1165
1554042656.491 * * [simplify]: Extracting #5: cost 67 inf + 12074
1554042656.496 * * [simplify]: Extracting #6: cost 8 inf + 27789
1554042656.502 * * [simplify]: Extracting #7: cost 0 inf + 29852
1554042656.508 * [simplify]: Simplified to (+ (* (log k) -1/2) (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2))
1554042656.508 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (log k) -1/2) (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2))))
1554042656.508 * * * * [progress]: [ 72 / 112 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (pow k -1/2)))))>
1554042656.509 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (pow k -1/2)))
1554042656.509 * * [simplify]: iters left: 6 (15 enodes)
1554042656.520 * * [simplify]: iters left: 5 (70 enodes)
1554042656.540 * * [simplify]: iters left: 4 (133 enodes)
1554042656.570 * * [simplify]: iters left: 3 (280 enodes)
1554042656.704 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042656.704 * * [simplify]: Extracting #1: cost 19 inf + 0
1554042656.704 * * [simplify]: Extracting #2: cost 86 inf + 0
1554042656.705 * * [simplify]: Extracting #3: cost 147 inf + 5
1554042656.707 * * [simplify]: Extracting #4: cost 174 inf + 1165
1554042656.711 * * [simplify]: Extracting #5: cost 101 inf + 14469
1554042656.723 * * [simplify]: Extracting #6: cost 17 inf + 38184
1554042656.738 * * [simplify]: Extracting #7: cost 0 inf + 41460
1554042656.753 * * [simplify]: Extracting #8: cost 0 inf + 41290
1554042656.769 * [simplify]: Simplified to (+ (* -1/2 (log k)) (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2))
1554042656.769 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* -1/2 (log k)) (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2))))
1554042656.769 * * * * [progress]: [ 73 / 112 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (log k) -1/2))))>
1554042656.770 * [simplify]: Simplifying (+ (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (log k) -1/2))
1554042656.770 * * [simplify]: iters left: 6 (15 enodes)
1554042656.784 * * [simplify]: iters left: 5 (64 enodes)
1554042656.796 * * [simplify]: iters left: 4 (111 enodes)
1554042656.818 * * [simplify]: iters left: 3 (212 enodes)
1554042656.909 * * [simplify]: iters left: 2 (499 enodes)
1554042657.151 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042657.151 * * [simplify]: Extracting #1: cost 83 inf + 0
1554042657.152 * * [simplify]: Extracting #2: cost 372 inf + 0
1554042657.153 * * [simplify]: Extracting #3: cost 456 inf + 993
1554042657.161 * * [simplify]: Extracting #4: cost 256 inf + 56340
1554042657.189 * * [simplify]: Extracting #5: cost 37 inf + 120580
1554042657.227 * * [simplify]: Extracting #6: cost 6 inf + 131764
1554042657.251 * * [simplify]: Extracting #7: cost 0 inf + 135549
1554042657.290 * * [simplify]: Extracting #8: cost 0 inf + 135419
1554042657.318 * [simplify]: Simplified to (+ (* (log k) -1/2) (* (log (* (* PI 2) n)) (/ (- 1 k) 2)))
1554042657.318 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (log k) -1/2) (* (log (* (* PI 2) n)) (/ (- 1 k) 2)))))
1554042657.318 * * * * [progress]: [ 74 / 112 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (log k) -1/2))))>
1554042657.318 * [simplify]: Simplifying (+ (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (log k) -1/2))
1554042657.319 * * [simplify]: iters left: 6 (15 enodes)
1554042657.328 * * [simplify]: iters left: 5 (64 enodes)
1554042657.351 * * [simplify]: iters left: 4 (111 enodes)
1554042657.389 * * [simplify]: iters left: 3 (212 enodes)
1554042657.479 * * [simplify]: iters left: 2 (499 enodes)
1554042657.674 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042657.675 * * [simplify]: Extracting #1: cost 83 inf + 0
1554042657.677 * * [simplify]: Extracting #2: cost 372 inf + 0
1554042657.680 * * [simplify]: Extracting #3: cost 456 inf + 993
1554042657.695 * * [simplify]: Extracting #4: cost 256 inf + 56340
1554042657.742 * * [simplify]: Extracting #5: cost 37 inf + 120580
1554042657.773 * * [simplify]: Extracting #6: cost 6 inf + 131764
1554042657.806 * * [simplify]: Extracting #7: cost 0 inf + 135549
1554042657.856 * * [simplify]: Extracting #8: cost 0 inf + 135419
1554042657.904 * [simplify]: Simplified to (+ (* (log k) -1/2) (* (log (* (* PI 2) n)) (/ (- 1 k) 2)))
1554042657.905 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (log k) -1/2) (* (log (* (* PI 2) n)) (/ (- 1 k) 2)))))
1554042657.905 * * * * [progress]: [ 75 / 112 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (log (pow k -1/2)))))>
1554042657.905 * [simplify]: Simplifying (+ (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (log (pow k -1/2)))
1554042657.905 * * [simplify]: iters left: 6 (15 enodes)
1554042657.915 * * [simplify]: iters left: 5 (69 enodes)
1554042657.941 * * [simplify]: iters left: 4 (133 enodes)
1554042657.992 * * [simplify]: iters left: 3 (273 enodes)
1554042658.106 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042658.106 * * [simplify]: Extracting #1: cost 16 inf + 0
1554042658.106 * * [simplify]: Extracting #2: cost 102 inf + 0
1554042658.107 * * [simplify]: Extracting #3: cost 181 inf + 4
1554042658.109 * * [simplify]: Extracting #4: cost 162 inf + 5350
1554042658.124 * * [simplify]: Extracting #5: cost 40 inf + 32980
1554042658.137 * * [simplify]: Extracting #6: cost 2 inf + 47234
1554042658.145 * * [simplify]: Extracting #7: cost 0 inf + 47652
1554042658.153 * [simplify]: Simplified to (+ (* -1/2 (log k)) (* (log (* (* PI 2) n)) (/ (- 1 k) 2)))
1554042658.153 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* -1/2 (log k)) (* (log (* (* PI 2) n)) (/ (- 1 k) 2)))))
1554042658.153 * * * * [progress]: [ 76 / 112 ] simplifiying candidate #<alt (λ (k n) (exp (log (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2)))))>
1554042658.153 * * * * [progress]: [ 77 / 112 ] simplifiying candidate #<alt (λ (k n) (log (exp (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2)))))>
1554042658.153 * * * * [progress]: [ 78 / 112 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (* (pow k -1/2) (pow k -1/2)) (pow k -1/2)))))>
1554042658.154 * [simplify]: Simplifying (* (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (* (pow k -1/2) (pow k -1/2)) (pow k -1/2)))
1554042658.154 * * [simplify]: iters left: 6 (17 enodes)
1554042658.160 * * [simplify]: iters left: 5 (82 enodes)
1554042658.182 * * [simplify]: iters left: 4 (191 enodes)
1554042658.262 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042658.262 * * [simplify]: Extracting #1: cost 37 inf + 0
1554042658.262 * * [simplify]: Extracting #2: cost 149 inf + 1
1554042658.263 * * [simplify]: Extracting #3: cost 164 inf + 1227
1554042658.264 * * [simplify]: Extracting #4: cost 143 inf + 7877
1554042658.266 * * [simplify]: Extracting #5: cost 99 inf + 21139
1554042658.275 * * [simplify]: Extracting #6: cost 16 inf + 78579
1554042658.296 * * [simplify]: Extracting #7: cost 0 inf + 89084
1554042658.308 * * [simplify]: Extracting #8: cost 0 inf + 88809
1554042658.323 * [simplify]: Simplified to (* (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (* (* (pow k -1/2) (pow k -1/2)) (pow k -1/2)))
1554042658.323 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (* (* (pow k -1/2) (pow k -1/2)) (pow k -1/2)))))
1554042658.323 * * * * [progress]: [ 79 / 112 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2))) (cbrt (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2)))) (cbrt (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2)))))>
1554042658.323 * * * * [progress]: [ 80 / 112 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2)) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2))) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2)))))>
1554042658.323 * * * * [progress]: [ 81 / 112 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2))) (sqrt (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2)))))>
1554042658.324 * * * * [progress]: [ 82 / 112 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2))))>
1554042658.324 * * * * [progress]: [ 83 / 112 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (sqrt k) -1/2)) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (sqrt k) -1/2))))>
1554042658.324 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (sqrt k) -1/2))
1554042658.324 * * [simplify]: iters left: 6 (15 enodes)
1554042658.329 * * [simplify]: iters left: 5 (65 enodes)
1554042658.345 * * [simplify]: iters left: 4 (115 enodes)
1554042658.386 * * [simplify]: iters left: 3 (196 enodes)
1554042658.460 * * [simplify]: iters left: 2 (351 enodes)
1554042658.555 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042658.555 * * [simplify]: Extracting #1: cost 23 inf + 0
1554042658.556 * * [simplify]: Extracting #2: cost 77 inf + 0
1554042658.556 * * [simplify]: Extracting #3: cost 90 inf + 7
1554042658.557 * * [simplify]: Extracting #4: cost 142 inf + 10
1554042658.559 * * [simplify]: Extracting #5: cost 144 inf + 4587
1554042658.564 * * [simplify]: Extracting #6: cost 61 inf + 38130
1554042658.572 * * [simplify]: Extracting #7: cost 12 inf + 66391
1554042658.581 * * [simplify]: Extracting #8: cost 0 inf + 74148
1554042658.590 * * [simplify]: Extracting #9: cost 0 inf + 74108
1554042658.602 * [simplify]: Simplified to (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (pow (sqrt k) -1/2))
1554042658.602 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (pow (sqrt k) -1/2)) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (sqrt k) -1/2))))
1554042658.603 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (sqrt k) -1/2))
1554042658.603 * * [simplify]: iters left: 6 (15 enodes)
1554042658.612 * * [simplify]: iters left: 5 (65 enodes)
1554042658.633 * * [simplify]: iters left: 4 (115 enodes)
1554042658.663 * * [simplify]: iters left: 3 (196 enodes)
1554042658.731 * * [simplify]: iters left: 2 (351 enodes)
1554042658.859 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042658.860 * * [simplify]: Extracting #1: cost 23 inf + 0
1554042658.860 * * [simplify]: Extracting #2: cost 77 inf + 0
1554042658.861 * * [simplify]: Extracting #3: cost 90 inf + 7
1554042658.862 * * [simplify]: Extracting #4: cost 142 inf + 10
1554042658.864 * * [simplify]: Extracting #5: cost 144 inf + 4587
1554042658.872 * * [simplify]: Extracting #6: cost 61 inf + 38130
1554042658.888 * * [simplify]: Extracting #7: cost 12 inf + 66391
1554042658.911 * * [simplify]: Extracting #8: cost 0 inf + 74148
1554042658.927 * * [simplify]: Extracting #9: cost 0 inf + 74108
1554042658.936 * [simplify]: Simplified to (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (pow (sqrt k) -1/2))
1554042658.936 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (sqrt k) -1/2)) (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (pow (sqrt k) -1/2))))
1554042658.936 * * * * [progress]: [ 84 / 112 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (pow k -1/2))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (pow k -1/2)))))>
1554042658.936 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (pow k -1/2)))
1554042658.937 * * [simplify]: iters left: 6 (15 enodes)
1554042658.942 * * [simplify]: iters left: 5 (65 enodes)
1554042658.955 * * [simplify]: iters left: 4 (112 enodes)
1554042658.989 * * [simplify]: iters left: 3 (182 enodes)
1554042659.031 * * [simplify]: iters left: 2 (308 enodes)
1554042659.120 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042659.120 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042659.120 * * [simplify]: Extracting #2: cost 10 inf + 0
1554042659.120 * * [simplify]: Extracting #3: cost 40 inf + 0
1554042659.121 * * [simplify]: Extracting #4: cost 114 inf + 4
1554042659.123 * * [simplify]: Extracting #5: cost 116 inf + 2872
1554042659.132 * * [simplify]: Extracting #6: cost 49 inf + 20626
1554042659.141 * * [simplify]: Extracting #7: cost 15 inf + 34343
1554042659.151 * * [simplify]: Extracting #8: cost 0 inf + 43332
1554042659.162 * * [simplify]: Extracting #9: cost 0 inf + 42527
1554042659.172 * [simplify]: Simplified to (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (pow k -1/2)))
1554042659.172 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (pow k -1/2))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (pow k -1/2)))))
1554042659.172 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (pow k -1/2)))
1554042659.173 * * [simplify]: iters left: 6 (15 enodes)
1554042659.182 * * [simplify]: iters left: 5 (65 enodes)
1554042659.206 * * [simplify]: iters left: 4 (112 enodes)
1554042659.231 * * [simplify]: iters left: 3 (182 enodes)
1554042659.277 * * [simplify]: iters left: 2 (308 enodes)
1554042659.359 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042659.359 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042659.359 * * [simplify]: Extracting #2: cost 10 inf + 0
1554042659.360 * * [simplify]: Extracting #3: cost 40 inf + 0
1554042659.360 * * [simplify]: Extracting #4: cost 114 inf + 4
1554042659.361 * * [simplify]: Extracting #5: cost 116 inf + 2872
1554042659.366 * * [simplify]: Extracting #6: cost 49 inf + 20626
1554042659.374 * * [simplify]: Extracting #7: cost 15 inf + 34343
1554042659.383 * * [simplify]: Extracting #8: cost 0 inf + 43332
1554042659.388 * * [simplify]: Extracting #9: cost 0 inf + 42527
1554042659.393 * [simplify]: Simplified to (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (pow k -1/2)))
1554042659.394 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (pow k -1/2))) (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (pow k -1/2)))))
1554042659.394 * * * * [progress]: [ 85 / 112 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow k (/ -1/2 2))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow k (/ -1/2 2)))))>
1554042659.394 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow k (/ -1/2 2)))
1554042659.394 * * [simplify]: iters left: 6 (15 enodes)
1554042659.400 * * [simplify]: iters left: 5 (66 enodes)
1554042659.413 * * [simplify]: iters left: 4 (121 enodes)
1554042659.438 * * [simplify]: iters left: 3 (217 enodes)
1554042659.490 * * [simplify]: iters left: 2 (372 enodes)
1554042659.609 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042659.609 * * [simplify]: Extracting #1: cost 25 inf + 0
1554042659.610 * * [simplify]: Extracting #2: cost 79 inf + 0
1554042659.610 * * [simplify]: Extracting #3: cost 86 inf + 644
1554042659.611 * * [simplify]: Extracting #4: cost 125 inf + 4695
1554042659.612 * * [simplify]: Extracting #5: cost 122 inf + 12699
1554042659.617 * * [simplify]: Extracting #6: cost 47 inf + 50641
1554042659.625 * * [simplify]: Extracting #7: cost 0 inf + 71560
1554042659.635 * * [simplify]: Extracting #8: cost 0 inf + 70898
1554042659.646 * * [simplify]: Extracting #9: cost 0 inf + 70778
1554042659.667 * [simplify]: Simplified to (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (pow k -1/4))
1554042659.667 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (pow k -1/4)) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow k (/ -1/2 2)))))
1554042659.668 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow k (/ -1/2 2)))
1554042659.668 * * [simplify]: iters left: 6 (15 enodes)
1554042659.673 * * [simplify]: iters left: 5 (66 enodes)
1554042659.687 * * [simplify]: iters left: 4 (121 enodes)
1554042659.713 * * [simplify]: iters left: 3 (217 enodes)
1554042659.754 * * [simplify]: iters left: 2 (372 enodes)
1554042659.879 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042659.879 * * [simplify]: Extracting #1: cost 25 inf + 0
1554042659.879 * * [simplify]: Extracting #2: cost 79 inf + 0
1554042659.880 * * [simplify]: Extracting #3: cost 86 inf + 644
1554042659.881 * * [simplify]: Extracting #4: cost 125 inf + 4695
1554042659.884 * * [simplify]: Extracting #5: cost 122 inf + 12699
1554042659.893 * * [simplify]: Extracting #6: cost 47 inf + 50641
1554042659.910 * * [simplify]: Extracting #7: cost 0 inf + 71560
1554042659.918 * * [simplify]: Extracting #8: cost 0 inf + 70898
1554042659.928 * * [simplify]: Extracting #9: cost 0 inf + 70778
1554042659.937 * [simplify]: Simplified to (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (pow k -1/4))
1554042659.937 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow k (/ -1/2 2))) (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (pow k -1/4))))
1554042659.937 * * * * [progress]: [ 86 / 112 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (sqrt k) -1/2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (sqrt k) -1/2))))>
1554042659.937 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (sqrt k) -1/2))
1554042659.937 * * [simplify]: iters left: 6 (15 enodes)
1554042659.943 * * [simplify]: iters left: 5 (68 enodes)
1554042659.965 * * [simplify]: iters left: 4 (128 enodes)
1554042659.995 * * [simplify]: iters left: 3 (255 enodes)
1554042660.109 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042660.110 * * [simplify]: Extracting #1: cost 25 inf + 0
1554042660.110 * * [simplify]: Extracting #2: cost 105 inf + 0
1554042660.110 * * [simplify]: Extracting #3: cost 146 inf + 4
1554042660.111 * * [simplify]: Extracting #4: cost 148 inf + 515
1554042660.113 * * [simplify]: Extracting #5: cost 93 inf + 10540
1554042660.118 * * [simplify]: Extracting #6: cost 15 inf + 59119
1554042660.133 * * [simplify]: Extracting #7: cost 0 inf + 69937
1554042660.150 * * [simplify]: Extracting #8: cost 0 inf + 69817
1554042660.159 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow (sqrt k) -1/2))
1554042660.159 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow (sqrt k) -1/2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (sqrt k) -1/2))))
1554042660.160 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (sqrt k) -1/2))
1554042660.160 * * [simplify]: iters left: 6 (15 enodes)
1554042660.165 * * [simplify]: iters left: 5 (68 enodes)
1554042660.179 * * [simplify]: iters left: 4 (128 enodes)
1554042660.208 * * [simplify]: iters left: 3 (255 enodes)
1554042660.324 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042660.324 * * [simplify]: Extracting #1: cost 25 inf + 0
1554042660.324 * * [simplify]: Extracting #2: cost 105 inf + 0
1554042660.325 * * [simplify]: Extracting #3: cost 146 inf + 4
1554042660.326 * * [simplify]: Extracting #4: cost 148 inf + 515
1554042660.329 * * [simplify]: Extracting #5: cost 93 inf + 10540
1554042660.342 * * [simplify]: Extracting #6: cost 15 inf + 59119
1554042660.359 * * [simplify]: Extracting #7: cost 0 inf + 69937
1554042660.375 * * [simplify]: Extracting #8: cost 0 inf + 69817
1554042660.392 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow (sqrt k) -1/2))
1554042660.392 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (sqrt k) -1/2)) (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow (sqrt k) -1/2))))
1554042660.393 * * * * [progress]: [ 87 / 112 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (pow k -1/2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (pow k -1/2)))))>
1554042660.393 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (pow k -1/2)))
1554042660.393 * * [simplify]: iters left: 6 (15 enodes)
1554042660.403 * * [simplify]: iters left: 5 (68 enodes)
1554042660.428 * * [simplify]: iters left: 4 (121 enodes)
1554042660.477 * * [simplify]: iters left: 3 (218 enodes)
1554042660.538 * * [simplify]: iters left: 2 (424 enodes)
1554042660.675 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042660.675 * * [simplify]: Extracting #1: cost 31 inf + 0
1554042660.676 * * [simplify]: Extracting #2: cost 106 inf + 0
1554042660.676 * * [simplify]: Extracting #3: cost 171 inf + 2
1554042660.677 * * [simplify]: Extracting #4: cost 195 inf + 733
1554042660.679 * * [simplify]: Extracting #5: cost 142 inf + 9866
1554042660.690 * * [simplify]: Extracting #6: cost 57 inf + 48043
1554042660.701 * * [simplify]: Extracting #7: cost 1 inf + 90747
1554042660.714 * * [simplify]: Extracting #8: cost 0 inf + 90956
1554042660.726 * * [simplify]: Extracting #9: cost 0 inf + 90917
1554042660.742 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (pow k -1/2)))
1554042660.743 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (pow k -1/2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (pow k -1/2)))))
1554042660.743 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (pow k -1/2)))
1554042660.743 * * [simplify]: iters left: 6 (15 enodes)
1554042660.752 * * [simplify]: iters left: 5 (68 enodes)
1554042660.766 * * [simplify]: iters left: 4 (121 enodes)
1554042660.793 * * [simplify]: iters left: 3 (218 enodes)
1554042660.855 * * [simplify]: iters left: 2 (424 enodes)
1554042660.971 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042660.972 * * [simplify]: Extracting #1: cost 31 inf + 0
1554042660.972 * * [simplify]: Extracting #2: cost 106 inf + 0
1554042660.974 * * [simplify]: Extracting #3: cost 171 inf + 2
1554042660.975 * * [simplify]: Extracting #4: cost 195 inf + 733
1554042660.979 * * [simplify]: Extracting #5: cost 142 inf + 9866
1554042660.992 * * [simplify]: Extracting #6: cost 57 inf + 48043
1554042661.014 * * [simplify]: Extracting #7: cost 1 inf + 90747
1554042661.039 * * [simplify]: Extracting #8: cost 0 inf + 90956
1554042661.063 * * [simplify]: Extracting #9: cost 0 inf + 90917
1554042661.087 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (pow k -1/2)))
1554042661.087 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (pow k -1/2))) (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (pow k -1/2)))))
1554042661.087 * * * * [progress]: [ 88 / 112 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k (/ -1/2 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k (/ -1/2 2)))))>
1554042661.088 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k (/ -1/2 2)))
1554042661.088 * * [simplify]: iters left: 6 (15 enodes)
1554042661.099 * * [simplify]: iters left: 5 (69 enodes)
1554042661.128 * * [simplify]: iters left: 4 (134 enodes)
1554042661.157 * * [simplify]: iters left: 3 (269 enodes)
1554042661.252 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042661.252 * * [simplify]: Extracting #1: cost 32 inf + 0
1554042661.252 * * [simplify]: Extracting #2: cost 112 inf + 0
1554042661.253 * * [simplify]: Extracting #3: cost 145 inf + 218
1554042661.255 * * [simplify]: Extracting #4: cost 127 inf + 4971
1554042661.265 * * [simplify]: Extracting #5: cost 25 inf + 53274
1554042661.282 * * [simplify]: Extracting #6: cost 0 inf + 68297
1554042661.299 * * [simplify]: Extracting #7: cost 0 inf + 67655
1554042661.316 * * [simplify]: Extracting #8: cost 0 inf + 67536
1554042661.333 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow k -1/4))
1554042661.333 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow k -1/4)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k (/ -1/2 2)))))
1554042661.334 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k (/ -1/2 2)))
1554042661.334 * * [simplify]: iters left: 6 (15 enodes)
1554042661.341 * * [simplify]: iters left: 5 (69 enodes)
1554042661.360 * * [simplify]: iters left: 4 (134 enodes)
1554042661.409 * * [simplify]: iters left: 3 (269 enodes)
1554042661.533 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042661.533 * * [simplify]: Extracting #1: cost 32 inf + 0
1554042661.534 * * [simplify]: Extracting #2: cost 112 inf + 0
1554042661.534 * * [simplify]: Extracting #3: cost 145 inf + 218
1554042661.535 * * [simplify]: Extracting #4: cost 127 inf + 4971
1554042661.540 * * [simplify]: Extracting #5: cost 25 inf + 53274
1554042661.549 * * [simplify]: Extracting #6: cost 0 inf + 68297
1554042661.558 * * [simplify]: Extracting #7: cost 0 inf + 67655
1554042661.572 * * [simplify]: Extracting #8: cost 0 inf + 67536
1554042661.588 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow k -1/4))
1554042661.588 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k (/ -1/2 2))) (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow k -1/4))))
1554042661.588 * * * * [progress]: [ 89 / 112 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* (cbrt k) (cbrt k)) -1/2)) (pow (cbrt k) -1/2)))>
1554042661.589 * [simplify]: Simplifying (pow (cbrt k) -1/2)
1554042661.589 * * [simplify]: iters left: 2 (4 enodes)
1554042661.592 * * [simplify]: iters left: 1 (17 enodes)
1554042661.600 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042661.600 * * [simplify]: Extracting #1: cost 5 inf + 0
1554042661.600 * * [simplify]: Extracting #2: cost 9 inf + 1
1554042661.600 * * [simplify]: Extracting #3: cost 8 inf + 3
1554042661.601 * * [simplify]: Extracting #4: cost 1 inf + 1334
1554042661.601 * * [simplify]: Extracting #5: cost 0 inf + 1626
1554042661.601 * [simplify]: Simplified to (pow (cbrt k) -1/2)
1554042661.601 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* (cbrt k) (cbrt k)) -1/2)) (pow (cbrt k) -1/2)))
1554042661.601 * * * * [progress]: [ 90 / 112 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (sqrt k) -1/2)) (pow (sqrt k) -1/2)))>
1554042661.602 * [simplify]: Simplifying (pow (sqrt k) -1/2)
1554042661.602 * * [simplify]: iters left: 2 (4 enodes)
1554042661.609 * * [simplify]: iters left: 1 (17 enodes)
1554042661.617 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042661.617 * * [simplify]: Extracting #1: cost 5 inf + 0
1554042661.617 * * [simplify]: Extracting #2: cost 9 inf + 1
1554042661.617 * * [simplify]: Extracting #3: cost 8 inf + 3
1554042661.617 * * [simplify]: Extracting #4: cost 1 inf + 1094
1554042661.617 * * [simplify]: Extracting #5: cost 0 inf + 1346
1554042661.618 * [simplify]: Simplified to (pow (sqrt k) -1/2)
1554042661.618 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (sqrt k) -1/2)) (pow (sqrt k) -1/2)))
1554042661.618 * * * * [progress]: [ 91 / 112 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow 1 -1/2)) (pow k -1/2)))>
1554042661.618 * [simplify]: Simplifying (pow k -1/2)
1554042661.618 * * [simplify]: iters left: 1 (3 enodes)
1554042661.621 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042661.621 * * [simplify]: Extracting #1: cost 5 inf + 0
1554042661.621 * * [simplify]: Extracting #2: cost 4 inf + 2
1554042661.621 * * [simplify]: Extracting #3: cost 1 inf + 427
1554042661.621 * * [simplify]: Extracting #4: cost 0 inf + 639
1554042661.621 * [simplify]: Simplified to (pow k -1/2)
1554042661.621 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow 1 -1/2)) (pow k -1/2)))
1554042661.621 * * * * [progress]: [ 92 / 112 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (cbrt (pow k -1/2)) (cbrt (pow k -1/2)))) (cbrt (pow k -1/2))))>
1554042661.622 * [simplify]: Simplifying (cbrt (pow k -1/2))
1554042661.622 * * [simplify]: iters left: 2 (4 enodes)
1554042661.624 * * [simplify]: iters left: 1 (17 enodes)
1554042661.632 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042661.632 * * [simplify]: Extracting #1: cost 3 inf + 0
1554042661.632 * * [simplify]: Extracting #2: cost 7 inf + 0
1554042661.632 * * [simplify]: Extracting #3: cost 8 inf + 2
1554042661.632 * * [simplify]: Extracting #4: cost 3 inf + 1223
1554042661.632 * * [simplify]: Extracting #5: cost 1 inf + 1436
1554042661.633 * * [simplify]: Extracting #6: cost 0 inf + 1648
1554042661.633 * [simplify]: Simplified to (cbrt (pow k -1/2))
1554042661.633 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (cbrt (pow k -1/2)) (cbrt (pow k -1/2)))) (cbrt (pow k -1/2))))
1554042661.633 * * * * [progress]: [ 93 / 112 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (pow k -1/2))) (sqrt (pow k -1/2))))>
1554042661.633 * [simplify]: Simplifying (sqrt (pow k -1/2))
1554042661.633 * * [simplify]: iters left: 2 (4 enodes)
1554042661.636 * * [simplify]: iters left: 1 (17 enodes)
1554042661.643 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042661.643 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042661.644 * * [simplify]: Extracting #2: cost 10 inf + 0
1554042661.644 * * [simplify]: Extracting #3: cost 8 inf + 3
1554042661.644 * * [simplify]: Extracting #4: cost 1 inf + 1356
1554042661.644 * * [simplify]: Extracting #5: cost 0 inf + 1568
1554042661.644 * [simplify]: Simplified to (sqrt (pow k -1/2))
1554042661.644 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (pow k -1/2))) (sqrt (pow k -1/2))))
1554042661.644 * * * * [progress]: [ 94 / 112 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (pow k -1/2)))>
1554042661.645 * [simplify]: Simplifying (pow k -1/2)
1554042661.645 * * [simplify]: iters left: 1 (3 enodes)
1554042661.647 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042661.647 * * [simplify]: Extracting #1: cost 5 inf + 0
1554042661.647 * * [simplify]: Extracting #2: cost 4 inf + 2
1554042661.647 * * [simplify]: Extracting #3: cost 1 inf + 427
1554042661.647 * * [simplify]: Extracting #4: cost 0 inf + 639
1554042661.648 * [simplify]: Simplified to (pow k -1/2)
1554042661.648 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (pow k -1/2)))
1554042661.648 * * * * [progress]: [ 95 / 112 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k (/ -1/2 2))) (pow k (/ -1/2 2))))>
1554042661.648 * [simplify]: Simplifying (pow k (/ -1/2 2))
1554042661.648 * * [simplify]: iters left: 3 (5 enodes)
1554042661.653 * * [simplify]: iters left: 2 (20 enodes)
1554042661.662 * * [simplify]: iters left: 1 (37 enodes)
1554042661.678 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042661.679 * * [simplify]: Extracting #1: cost 9 inf + 0
1554042661.679 * * [simplify]: Extracting #2: cost 12 inf + 2
1554042661.679 * * [simplify]: Extracting #3: cost 7 inf + 852
1554042661.679 * * [simplify]: Extracting #4: cost 0 inf + 2667
1554042661.679 * [simplify]: Simplified to (pow k -1/4)
1554042661.680 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k (/ -1/2 2))) (pow k -1/4)))
1554042661.680 * * * * [progress]: [ 96 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow n (/ (- 1 k) 2)) (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow k -1/2))))>
1554042661.680 * [simplify]: Simplifying (pow n (/ (- 1 k) 2))
1554042661.680 * * [simplify]: iters left: 5 (7 enodes)
1554042661.685 * * [simplify]: iters left: 4 (32 enodes)
1554042661.696 * * [simplify]: iters left: 3 (57 enodes)
1554042661.716 * * [simplify]: iters left: 2 (88 enodes)
1554042661.747 * * [simplify]: iters left: 1 (156 enodes)
1554042661.786 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042661.786 * * [simplify]: Extracting #1: cost 13 inf + 0
1554042661.786 * * [simplify]: Extracting #2: cost 49 inf + 2
1554042661.787 * * [simplify]: Extracting #3: cost 80 inf + 6
1554042661.787 * * [simplify]: Extracting #4: cost 58 inf + 1840
1554042661.789 * * [simplify]: Extracting #5: cost 22 inf + 9206
1554042661.791 * * [simplify]: Extracting #6: cost 1 inf + 20886
1554042661.794 * * [simplify]: Extracting #7: cost 0 inf + 21301
1554042661.798 * * [simplify]: Extracting #8: cost 0 inf + 21130
1554042661.804 * [simplify]: Simplified to (pow n (/ (- 1 k) 2))
1554042661.804 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow k -1/2))))
1554042661.804 * * * * [progress]: [ 97 / 112 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow k -1/2))))>
1554042661.805 * [simplify]: Simplifying (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))
1554042661.806 * * [simplify]: iters left: 6 (12 enodes)
1554042661.813 * * [simplify]: iters left: 5 (51 enodes)
1554042661.831 * * [simplify]: iters left: 4 (84 enodes)
1554042661.859 * * [simplify]: iters left: 3 (125 enodes)
1554042661.905 * * [simplify]: iters left: 2 (198 enodes)
1554042661.978 * * [simplify]: iters left: 1 (353 enodes)
1554042662.162 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042662.162 * * [simplify]: Extracting #1: cost 3 inf + 0
1554042662.163 * * [simplify]: Extracting #2: cost 5 inf + 0
1554042662.163 * * [simplify]: Extracting #3: cost 28 inf + 0
1554042662.163 * * [simplify]: Extracting #4: cost 101 inf + 1
1554042662.164 * * [simplify]: Extracting #5: cost 136 inf + 176
1554042662.166 * * [simplify]: Extracting #6: cost 127 inf + 1730
1554042662.170 * * [simplify]: Extracting #7: cost 68 inf + 14428
1554042662.184 * * [simplify]: Extracting #8: cost 24 inf + 38979
1554042662.205 * * [simplify]: Extracting #9: cost 0 inf + 59741
1554042662.227 * * [simplify]: Extracting #10: cost 0 inf + 57850
1554042662.248 * * [simplify]: Extracting #11: cost 0 inf + 57436
1554042662.265 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))))
1554042662.265 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow k -1/2))))
1554042662.265 * * * * [progress]: [ 98 / 112 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow k -1/2))))>
1554042662.266 * [simplify]: Simplifying (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))
1554042662.266 * * [simplify]: iters left: 6 (11 enodes)
1554042662.269 * * [simplify]: iters left: 5 (48 enodes)
1554042662.281 * * [simplify]: iters left: 4 (78 enodes)
1554042662.296 * * [simplify]: iters left: 3 (120 enodes)
1554042662.331 * * [simplify]: iters left: 2 (211 enodes)
1554042662.412 * * [simplify]: iters left: 1 (378 enodes)
1554042662.570 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042662.570 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042662.570 * * [simplify]: Extracting #2: cost 28 inf + 0
1554042662.570 * * [simplify]: Extracting #3: cost 111 inf + 1
1554042662.571 * * [simplify]: Extracting #4: cost 151 inf + 220
1554042662.572 * * [simplify]: Extracting #5: cost 149 inf + 601
1554042662.573 * * [simplify]: Extracting #6: cost 109 inf + 5630
1554042662.577 * * [simplify]: Extracting #7: cost 43 inf + 25793
1554042662.586 * * [simplify]: Extracting #8: cost 5 inf + 52343
1554042662.601 * * [simplify]: Extracting #9: cost 0 inf + 56629
1554042662.623 * * [simplify]: Extracting #10: cost 0 inf + 55972
1554042662.648 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
1554042662.648 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow k -1/2))))
1554042662.649 * * * * [progress]: [ 99 / 112 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2))))>
1554042662.649 * * * * [progress]: [ 100 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042662.649 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))
1554042662.649 * * [simplify]: iters left: 6 (11 enodes)
1554042662.655 * * [simplify]: iters left: 5 (51 enodes)
1554042662.665 * * [simplify]: iters left: 4 (87 enodes)
1554042662.681 * * [simplify]: iters left: 3 (143 enodes)
1554042662.728 * * [simplify]: iters left: 2 (259 enodes)
1554042662.788 * * [simplify]: iters left: 1 (467 enodes)
1554042662.984 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042662.984 * * [simplify]: Extracting #1: cost 23 inf + 0
1554042662.984 * * [simplify]: Extracting #2: cost 99 inf + 1
1554042662.985 * * [simplify]: Extracting #3: cost 180 inf + 178
1554042662.986 * * [simplify]: Extracting #4: cost 162 inf + 2505
1554042662.991 * * [simplify]: Extracting #5: cost 78 inf + 12096
1554042663.002 * * [simplify]: Extracting #6: cost 33 inf + 29460
1554042663.026 * * [simplify]: Extracting #7: cost 1 inf + 56926
1554042663.046 * * [simplify]: Extracting #8: cost 0 inf + 57804
1554042663.065 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/4 (- 1 k)))
1554042663.066 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042663.066 * * * * [progress]: [ 101 / 112 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ 1 2)) (pow k -1/2)) (pow (* n (* 2 PI)) (/ k 2))))>
1554042663.066 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ 1 2)) (pow k -1/2))
1554042663.066 * * [simplify]: iters left: 6 (12 enodes)
1554042663.075 * * [simplify]: iters left: 5 (52 enodes)
1554042663.096 * * [simplify]: iters left: 4 (104 enodes)
1554042663.141 * * [simplify]: iters left: 3 (223 enodes)
1554042663.214 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042663.214 * * [simplify]: Extracting #1: cost 31 inf + 0
1554042663.215 * * [simplify]: Extracting #2: cost 109 inf + 0
1554042663.215 * * [simplify]: Extracting #3: cost 108 inf + 10
1554042663.216 * * [simplify]: Extracting #4: cost 90 inf + 3894
1554042663.221 * * [simplify]: Extracting #5: cost 40 inf + 27466
1554042663.230 * * [simplify]: Extracting #6: cost 0 inf + 54412
1554042663.240 * [simplify]: Simplified to (* (sqrt (* (* PI 2) n)) (pow k -1/2))
1554042663.240 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (sqrt (* (* PI 2) n)) (pow k -1/2)) (pow (* n (* 2 PI)) (/ k 2))))
1554042663.240 * * * * [progress]: [ 102 / 112 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2)))))>
1554042663.240 * * * * [progress]: [ 103 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))>
1554042663.241 * * * * [progress]: [ 104 / 112 ] simplifiying candidate #<alt (λ (k n) (* (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))))) (pow k -1/2)))>
1554042663.241 * [simplify]: Simplifying (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)))))
1554042663.241 * * [simplify]: iters left: 6 (37 enodes)
1554042663.254 * * [simplify]: iters left: 5 (187 enodes)
1554042663.323 * * [simplify]: iters left: 4 (488 enodes)
1554042663.592 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042663.593 * * [simplify]: Extracting #1: cost 57 inf + 0
1554042663.593 * * [simplify]: Extracting #2: cost 294 inf + 0
1554042663.595 * * [simplify]: Extracting #3: cost 524 inf + 199
1554042663.598 * * [simplify]: Extracting #4: cost 512 inf + 6095
1554042663.616 * * [simplify]: Extracting #5: cost 310 inf + 78036
1554042663.673 * * [simplify]: Extracting #6: cost 40 inf + 220622
1554042663.767 * * [simplify]: Extracting #7: cost 0 inf + 244981
1554042663.853 * * [simplify]: Extracting #8: cost 0 inf + 243455
1554042663.946 * * [simplify]: Extracting #9: cost 0 inf + 243454
1554042664.020 * [simplify]: Simplified to (+ (* (* (* k k) 1/8) (+ (* (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (log (* PI 2))) (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) (+ (exp (* (+ (log n) (log (* PI 2))) 1/2)) (- (* (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (* k k) (* (log n) 1/4))) (* (* 1/2 k) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (+ (log n) (log (* PI 2))))))))
1554042664.021 * [simplify]: Simplified (2 1) to (λ (k n) (* (+ (* (* (* k k) 1/8) (+ (* (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (log (* PI 2))) (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) (+ (exp (* (+ (log n) (log (* PI 2))) 1/2)) (- (* (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (* k k) (* (log n) 1/4))) (* (* 1/2 k) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (+ (log n) (log (* PI 2)))))))) (pow k -1/2)))
1554042664.021 * * * * [progress]: [ 105 / 112 ] simplifiying candidate #<alt (λ (k n) (* (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k -1/2)))>
1554042664.021 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
1554042664.021 * * [simplify]: iters left: 6 (15 enodes)
1554042664.027 * * [simplify]: iters left: 5 (65 enodes)
1554042664.039 * * [simplify]: iters left: 4 (123 enodes)
1554042664.079 * * [simplify]: iters left: 3 (361 enodes)
1554042664.255 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042664.255 * * [simplify]: Extracting #1: cost 37 inf + 0
1554042664.256 * * [simplify]: Extracting #2: cost 213 inf + 72
1554042664.258 * * [simplify]: Extracting #3: cost 350 inf + 1716
1554042664.267 * * [simplify]: Extracting #4: cost 221 inf + 30028
1554042664.292 * * [simplify]: Extracting #5: cost 33 inf + 78046
1554042664.323 * * [simplify]: Extracting #6: cost 1 inf + 88785
1554042664.354 * * [simplify]: Extracting #7: cost 0 inf + 88926
1554042664.385 * * [simplify]: Extracting #8: cost 0 inf + 88841
1554042664.420 * [simplify]: Simplified to (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k))))
1554042664.420 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) (pow k -1/2)))
1554042664.420 * * * * [progress]: [ 106 / 112 ] simplifiying candidate #<alt (λ (k n) (* (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k -1/2)))>
1554042664.421 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
1554042664.421 * * [simplify]: iters left: 6 (16 enodes)
1554042664.431 * * [simplify]: iters left: 5 (67 enodes)
1554042664.456 * * [simplify]: iters left: 4 (134 enodes)
1554042664.516 * * [simplify]: iters left: 3 (407 enodes)
1554042664.666 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042664.666 * * [simplify]: Extracting #1: cost 39 inf + 0
1554042664.667 * * [simplify]: Extracting #2: cost 241 inf + 72
1554042664.669 * * [simplify]: Extracting #3: cost 449 inf + 888
1554042664.679 * * [simplify]: Extracting #4: cost 283 inf + 39678
1554042664.698 * * [simplify]: Extracting #5: cost 24 inf + 116942
1554042664.741 * * [simplify]: Extracting #6: cost 0 inf + 121984
1554042664.784 * * [simplify]: Extracting #7: cost 0 inf + 121983
1554042664.830 * [simplify]: Simplified to (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n)))))))
1554042664.830 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) (pow k -1/2)))
1554042664.830 * * * * [progress]: [ 107 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (pow k -1/2)))>
1554042664.830 * [simplify]: Simplifying (* 2 (* n PI))
1554042664.830 * * [simplify]: iters left: 4 (5 enodes)
1554042664.835 * * [simplify]: iters left: 3 (19 enodes)
1554042664.841 * * [simplify]: iters left: 2 (27 enodes)
1554042664.849 * * [simplify]: iters left: 1 (32 enodes)
1554042664.858 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042664.858 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042664.858 * * [simplify]: Extracting #2: cost 7 inf + 45
1554042664.858 * * [simplify]: Extracting #3: cost 0 inf + 421
1554042664.858 * [simplify]: Simplified to (* (* PI n) 2)
1554042664.858 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI n) 2) (/ (- 1 k) 2)) (pow k -1/2)))
1554042664.859 * * * * [progress]: [ 108 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (pow k -1/2)))>
1554042664.859 * [simplify]: Simplifying (* 2 (* n PI))
1554042664.859 * * [simplify]: iters left: 4 (5 enodes)
1554042664.862 * * [simplify]: iters left: 3 (19 enodes)
1554042664.868 * * [simplify]: iters left: 2 (27 enodes)
1554042664.876 * * [simplify]: iters left: 1 (32 enodes)
1554042664.884 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042664.885 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042664.885 * * [simplify]: Extracting #2: cost 7 inf + 45
1554042664.885 * * [simplify]: Extracting #3: cost 0 inf + 421
1554042664.885 * [simplify]: Simplified to (* (* PI n) 2)
1554042664.885 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI n) 2) (/ (- 1 k) 2)) (pow k -1/2)))
1554042664.885 * * * * [progress]: [ 109 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (pow k -1/2)))>
1554042664.886 * [simplify]: Simplifying (* 2 (* n PI))
1554042664.886 * * [simplify]: iters left: 4 (5 enodes)
1554042664.889 * * [simplify]: iters left: 3 (19 enodes)
1554042664.895 * * [simplify]: iters left: 2 (27 enodes)
1554042664.903 * * [simplify]: iters left: 1 (32 enodes)
1554042664.912 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042664.912 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042664.912 * * [simplify]: Extracting #2: cost 7 inf + 45
1554042664.912 * * [simplify]: Extracting #3: cost 0 inf + 421
1554042664.913 * [simplify]: Simplified to (* (* PI n) 2)
1554042664.913 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI n) 2) (/ (- 1 k) 2)) (pow k -1/2)))
1554042664.913 * * * * [progress]: [ 110 / 112 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))))))))))))))))))))>
1554042664.913 * [simplify]: Simplifying (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))))))))))))))))))))))
1554042664.913 * [simplify]: Simplified (2) to (λ (k n) +nan.0)
1554042664.914 * * * * [progress]: [ 111 / 112 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3)))))))))>
1554042664.914 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3))))))))
1554042664.914 * [simplify]: Simplified (2) to (λ (k n) +nan.0)
1554042664.914 * * * * [progress]: [ 112 / 112 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k))))))))>
1554042664.915 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)))))))
1554042664.915 * [simplify]: Simplified (2) to (λ (k n) +nan.0)
1554042664.915 * * * [progress]: adding candidates to table
1554042666.161 * * [progress]: iteration 4 / 4
1554042666.161 * * * [progress]: picking best candidate
1554042666.182 * * * * [pick]: Picked  #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042666.182 * * * [progress]: localizing error
1554042666.251 * * * [progress]: generating rewritten candidates
1554042666.251 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1)
1554042666.277 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
1554042666.292 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1)
1554042666.304 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1)
1554042666.324 * * * [progress]: generating series expansions
1554042666.324 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1)
1554042666.325 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) into (pow (* 2 (* n PI)) (* 1/4 (- 1 k)))
1554042666.325 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in (n k) around 0
1554042666.325 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in k
1554042666.325 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in k
1554042666.325 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in k
1554042666.325 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in k
1554042666.325 * [taylor]: Taking taylor expansion of 1/4 in k
1554042666.325 * [backup-simplify]: Simplify 1/4 into 1/4
1554042666.325 * [taylor]: Taking taylor expansion of (- 1 k) in k
1554042666.325 * [taylor]: Taking taylor expansion of 1 in k
1554042666.325 * [backup-simplify]: Simplify 1 into 1
1554042666.325 * [taylor]: Taking taylor expansion of k in k
1554042666.325 * [backup-simplify]: Simplify 0 into 0
1554042666.325 * [backup-simplify]: Simplify 1 into 1
1554042666.325 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1554042666.326 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1554042666.326 * [taylor]: Taking taylor expansion of 2 in k
1554042666.326 * [backup-simplify]: Simplify 2 into 2
1554042666.326 * [taylor]: Taking taylor expansion of (* n PI) in k
1554042666.326 * [taylor]: Taking taylor expansion of n in k
1554042666.326 * [backup-simplify]: Simplify n into n
1554042666.326 * [taylor]: Taking taylor expansion of PI in k
1554042666.326 * [backup-simplify]: Simplify PI into PI
1554042666.326 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1554042666.326 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1554042666.326 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1554042666.326 * [backup-simplify]: Simplify (- 0) into 0
1554042666.326 * [backup-simplify]: Simplify (+ 1 0) into 1
1554042666.327 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
1554042666.327 * [backup-simplify]: Simplify (* 1/4 (log (* 2 (* n PI)))) into (* 1/4 (log (* 2 (* n PI))))
1554042666.327 * [backup-simplify]: Simplify (exp (* 1/4 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/4)
1554042666.327 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n
1554042666.327 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n
1554042666.327 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n
1554042666.327 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n
1554042666.327 * [taylor]: Taking taylor expansion of 1/4 in n
1554042666.327 * [backup-simplify]: Simplify 1/4 into 1/4
1554042666.327 * [taylor]: Taking taylor expansion of (- 1 k) in n
1554042666.327 * [taylor]: Taking taylor expansion of 1 in n
1554042666.327 * [backup-simplify]: Simplify 1 into 1
1554042666.327 * [taylor]: Taking taylor expansion of k in n
1554042666.327 * [backup-simplify]: Simplify k into k
1554042666.327 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1554042666.327 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1554042666.327 * [taylor]: Taking taylor expansion of 2 in n
1554042666.327 * [backup-simplify]: Simplify 2 into 2
1554042666.327 * [taylor]: Taking taylor expansion of (* n PI) in n
1554042666.327 * [taylor]: Taking taylor expansion of n in n
1554042666.327 * [backup-simplify]: Simplify 0 into 0
1554042666.327 * [backup-simplify]: Simplify 1 into 1
1554042666.327 * [taylor]: Taking taylor expansion of PI in n
1554042666.327 * [backup-simplify]: Simplify PI into PI
1554042666.328 * [backup-simplify]: Simplify (* 0 PI) into 0
1554042666.328 * [backup-simplify]: Simplify (* 2 0) into 0
1554042666.329 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1554042666.330 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1554042666.331 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554042666.331 * [backup-simplify]: Simplify (- k) into (- k)
1554042666.331 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
1554042666.331 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k))
1554042666.332 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554042666.332 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
1554042666.333 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
1554042666.333 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n
1554042666.333 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n
1554042666.333 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n
1554042666.333 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n
1554042666.333 * [taylor]: Taking taylor expansion of 1/4 in n
1554042666.333 * [backup-simplify]: Simplify 1/4 into 1/4
1554042666.333 * [taylor]: Taking taylor expansion of (- 1 k) in n
1554042666.333 * [taylor]: Taking taylor expansion of 1 in n
1554042666.333 * [backup-simplify]: Simplify 1 into 1
1554042666.333 * [taylor]: Taking taylor expansion of k in n
1554042666.333 * [backup-simplify]: Simplify k into k
1554042666.333 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1554042666.333 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1554042666.333 * [taylor]: Taking taylor expansion of 2 in n
1554042666.333 * [backup-simplify]: Simplify 2 into 2
1554042666.333 * [taylor]: Taking taylor expansion of (* n PI) in n
1554042666.333 * [taylor]: Taking taylor expansion of n in n
1554042666.334 * [backup-simplify]: Simplify 0 into 0
1554042666.334 * [backup-simplify]: Simplify 1 into 1
1554042666.334 * [taylor]: Taking taylor expansion of PI in n
1554042666.334 * [backup-simplify]: Simplify PI into PI
1554042666.334 * [backup-simplify]: Simplify (* 0 PI) into 0
1554042666.334 * [backup-simplify]: Simplify (* 2 0) into 0
1554042666.335 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1554042666.336 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1554042666.336 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554042666.337 * [backup-simplify]: Simplify (- k) into (- k)
1554042666.337 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
1554042666.337 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k))
1554042666.337 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554042666.338 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
1554042666.339 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
1554042666.339 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
1554042666.339 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
1554042666.339 * [taylor]: Taking taylor expansion of 1/4 in k
1554042666.339 * [backup-simplify]: Simplify 1/4 into 1/4
1554042666.339 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
1554042666.339 * [taylor]: Taking taylor expansion of (- 1 k) in k
1554042666.339 * [taylor]: Taking taylor expansion of 1 in k
1554042666.339 * [backup-simplify]: Simplify 1 into 1
1554042666.339 * [taylor]: Taking taylor expansion of k in k
1554042666.339 * [backup-simplify]: Simplify 0 into 0
1554042666.339 * [backup-simplify]: Simplify 1 into 1
1554042666.339 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1554042666.339 * [taylor]: Taking taylor expansion of (log n) in k
1554042666.339 * [taylor]: Taking taylor expansion of n in k
1554042666.339 * [backup-simplify]: Simplify n into n
1554042666.339 * [backup-simplify]: Simplify (log n) into (log n)
1554042666.339 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1554042666.339 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1554042666.339 * [taylor]: Taking taylor expansion of 2 in k
1554042666.339 * [backup-simplify]: Simplify 2 into 2
1554042666.339 * [taylor]: Taking taylor expansion of PI in k
1554042666.339 * [backup-simplify]: Simplify PI into PI
1554042666.339 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554042666.340 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554042666.340 * [backup-simplify]: Simplify (- 0) into 0
1554042666.341 * [backup-simplify]: Simplify (+ 1 0) into 1
1554042666.341 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554042666.342 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
1554042666.342 * [backup-simplify]: Simplify (* 1/4 (+ (log n) (log (* 2 PI)))) into (* 1/4 (+ (log n) (log (* 2 PI))))
1554042666.343 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI)))))
1554042666.344 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI)))))
1554042666.344 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1554042666.345 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1554042666.346 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1554042666.346 * [backup-simplify]: Simplify (- 0) into 0
1554042666.346 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042666.347 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 k))) into 0
1554042666.347 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554042666.348 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1554042666.349 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
1554042666.349 * [taylor]: Taking taylor expansion of 0 in k
1554042666.349 * [backup-simplify]: Simplify 0 into 0
1554042666.349 * [backup-simplify]: Simplify 0 into 0
1554042666.350 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1554042666.350 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1554042666.351 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1554042666.351 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042666.352 * [backup-simplify]: Simplify (- 1) into -1
1554042666.352 * [backup-simplify]: Simplify (+ 0 -1) into -1
1554042666.353 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
1554042666.354 * [backup-simplify]: Simplify (+ (* 1/4 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))))
1554042666.356 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI)))))))
1554042666.357 * [backup-simplify]: Simplify (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) into (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI)))))))
1554042666.358 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1554042666.359 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1554042666.361 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
1554042666.361 * [backup-simplify]: Simplify (- 0) into 0
1554042666.362 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042666.362 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
1554042666.363 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554042666.364 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1554042666.366 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1554042666.366 * [taylor]: Taking taylor expansion of 0 in k
1554042666.366 * [backup-simplify]: Simplify 0 into 0
1554042666.366 * [backup-simplify]: Simplify 0 into 0
1554042666.366 * [backup-simplify]: Simplify 0 into 0
1554042666.367 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
1554042666.367 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1554042666.369 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
1554042666.370 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042666.370 * [backup-simplify]: Simplify (- 0) into 0
1554042666.371 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042666.372 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1554042666.375 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1554042666.379 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2)))))
1554042666.383 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) into (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2)))))
1554042666.393 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) (* k 1)) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) into (- (+ (* 1/16 (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/32 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/4 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/4 (* k (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))))))
1554042666.394 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (/ (- 1 (/ 1 k)) 2) 2)) into (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k))))
1554042666.394 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in (n k) around 0
1554042666.394 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in k
1554042666.394 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1554042666.394 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1554042666.394 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in k
1554042666.394 * [taylor]: Taking taylor expansion of 1/4 in k
1554042666.394 * [backup-simplify]: Simplify 1/4 into 1/4
1554042666.394 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
1554042666.394 * [taylor]: Taking taylor expansion of 1 in k
1554042666.394 * [backup-simplify]: Simplify 1 into 1
1554042666.394 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1554042666.394 * [taylor]: Taking taylor expansion of k in k
1554042666.394 * [backup-simplify]: Simplify 0 into 0
1554042666.395 * [backup-simplify]: Simplify 1 into 1
1554042666.395 * [backup-simplify]: Simplify (/ 1 1) into 1
1554042666.395 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
1554042666.395 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
1554042666.395 * [taylor]: Taking taylor expansion of 2 in k
1554042666.395 * [backup-simplify]: Simplify 2 into 2
1554042666.395 * [taylor]: Taking taylor expansion of (/ PI n) in k
1554042666.395 * [taylor]: Taking taylor expansion of PI in k
1554042666.395 * [backup-simplify]: Simplify PI into PI
1554042666.395 * [taylor]: Taking taylor expansion of n in k
1554042666.395 * [backup-simplify]: Simplify n into n
1554042666.395 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1554042666.395 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1554042666.396 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1554042666.396 * [backup-simplify]: Simplify (- 1) into -1
1554042666.396 * [backup-simplify]: Simplify (+ 0 -1) into -1
1554042666.397 * [backup-simplify]: Simplify (* 1/4 -1) into -1/4
1554042666.397 * [backup-simplify]: Simplify (* -1/4 (log (* 2 (/ PI n)))) into (* -1/4 (log (* 2 (/ PI n))))
1554042666.397 * [backup-simplify]: Simplify (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
1554042666.397 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n
1554042666.397 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1554042666.397 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1554042666.397 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n
1554042666.397 * [taylor]: Taking taylor expansion of 1/4 in n
1554042666.398 * [backup-simplify]: Simplify 1/4 into 1/4
1554042666.398 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
1554042666.398 * [taylor]: Taking taylor expansion of 1 in n
1554042666.398 * [backup-simplify]: Simplify 1 into 1
1554042666.398 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1554042666.398 * [taylor]: Taking taylor expansion of k in n
1554042666.398 * [backup-simplify]: Simplify k into k
1554042666.398 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1554042666.398 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1554042666.398 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1554042666.398 * [taylor]: Taking taylor expansion of 2 in n
1554042666.398 * [backup-simplify]: Simplify 2 into 2
1554042666.398 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554042666.398 * [taylor]: Taking taylor expansion of PI in n
1554042666.398 * [backup-simplify]: Simplify PI into PI
1554042666.398 * [taylor]: Taking taylor expansion of n in n
1554042666.398 * [backup-simplify]: Simplify 0 into 0
1554042666.398 * [backup-simplify]: Simplify 1 into 1
1554042666.399 * [backup-simplify]: Simplify (/ PI 1) into PI
1554042666.399 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554042666.400 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554042666.400 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
1554042666.400 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
1554042666.400 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k)))
1554042666.402 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1554042666.403 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
1554042666.404 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
1554042666.404 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n
1554042666.404 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1554042666.404 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1554042666.404 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n
1554042666.404 * [taylor]: Taking taylor expansion of 1/4 in n
1554042666.404 * [backup-simplify]: Simplify 1/4 into 1/4
1554042666.404 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
1554042666.404 * [taylor]: Taking taylor expansion of 1 in n
1554042666.404 * [backup-simplify]: Simplify 1 into 1
1554042666.404 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1554042666.405 * [taylor]: Taking taylor expansion of k in n
1554042666.405 * [backup-simplify]: Simplify k into k
1554042666.405 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1554042666.405 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1554042666.405 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1554042666.405 * [taylor]: Taking taylor expansion of 2 in n
1554042666.405 * [backup-simplify]: Simplify 2 into 2
1554042666.405 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554042666.405 * [taylor]: Taking taylor expansion of PI in n
1554042666.405 * [backup-simplify]: Simplify PI into PI
1554042666.405 * [taylor]: Taking taylor expansion of n in n
1554042666.405 * [backup-simplify]: Simplify 0 into 0
1554042666.405 * [backup-simplify]: Simplify 1 into 1
1554042666.405 * [backup-simplify]: Simplify (/ PI 1) into PI
1554042666.406 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554042666.407 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554042666.407 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
1554042666.407 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
1554042666.407 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k)))
1554042666.409 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1554042666.410 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
1554042666.413 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
1554042666.413 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
1554042666.413 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
1554042666.413 * [taylor]: Taking taylor expansion of 1/4 in k
1554042666.413 * [backup-simplify]: Simplify 1/4 into 1/4
1554042666.413 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
1554042666.413 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
1554042666.413 * [taylor]: Taking taylor expansion of 1 in k
1554042666.413 * [backup-simplify]: Simplify 1 into 1
1554042666.413 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1554042666.413 * [taylor]: Taking taylor expansion of k in k
1554042666.413 * [backup-simplify]: Simplify 0 into 0
1554042666.413 * [backup-simplify]: Simplify 1 into 1
1554042666.414 * [backup-simplify]: Simplify (/ 1 1) into 1
1554042666.414 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1554042666.414 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1554042666.414 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1554042666.414 * [taylor]: Taking taylor expansion of 2 in k
1554042666.414 * [backup-simplify]: Simplify 2 into 2
1554042666.414 * [taylor]: Taking taylor expansion of PI in k
1554042666.414 * [backup-simplify]: Simplify PI into PI
1554042666.414 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554042666.415 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554042666.416 * [taylor]: Taking taylor expansion of (log n) in k
1554042666.416 * [taylor]: Taking taylor expansion of n in k
1554042666.416 * [backup-simplify]: Simplify n into n
1554042666.416 * [backup-simplify]: Simplify (log n) into (log n)
1554042666.416 * [backup-simplify]: Simplify (- 1) into -1
1554042666.416 * [backup-simplify]: Simplify (+ 0 -1) into -1
1554042666.417 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1554042666.418 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1554042666.419 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
1554042666.420 * [backup-simplify]: Simplify (* 1/4 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/4 (- (log (* 2 PI)) (log n)))
1554042666.421 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
1554042666.422 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
1554042666.423 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1554042666.424 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1554042666.426 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1554042666.426 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1554042666.426 * [backup-simplify]: Simplify (- 0) into 0
1554042666.426 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042666.427 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 (/ 1 k)))) into 0
1554042666.428 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1554042666.430 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1554042666.431 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
1554042666.432 * [taylor]: Taking taylor expansion of 0 in k
1554042666.432 * [backup-simplify]: Simplify 0 into 0
1554042666.432 * [backup-simplify]: Simplify 0 into 0
1554042666.432 * [backup-simplify]: Simplify 0 into 0
1554042666.433 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554042666.434 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1554042666.444 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
1554042666.444 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1554042666.445 * [backup-simplify]: Simplify (- 0) into 0
1554042666.445 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042666.446 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
1554042666.448 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1554042666.449 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
1554042666.452 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1554042666.452 * [taylor]: Taking taylor expansion of 0 in k
1554042666.452 * [backup-simplify]: Simplify 0 into 0
1554042666.452 * [backup-simplify]: Simplify 0 into 0
1554042666.452 * [backup-simplify]: Simplify 0 into 0
1554042666.452 * [backup-simplify]: Simplify 0 into 0
1554042666.453 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554042666.454 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1554042666.460 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
1554042666.460 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1554042666.461 * [backup-simplify]: Simplify (- 0) into 0
1554042666.461 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042666.462 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
1554042666.464 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1554042666.466 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
1554042666.468 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1554042666.468 * [taylor]: Taking taylor expansion of 0 in k
1554042666.468 * [backup-simplify]: Simplify 0 into 0
1554042666.468 * [backup-simplify]: Simplify 0 into 0
1554042666.470 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
1554042666.470 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (/ (- 1 (/ 1 (- k))) 2) 2)) into (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1)))
1554042666.470 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in (n k) around 0
1554042666.470 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in k
1554042666.470 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
1554042666.471 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
1554042666.471 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in k
1554042666.471 * [taylor]: Taking taylor expansion of 1/4 in k
1554042666.471 * [backup-simplify]: Simplify 1/4 into 1/4
1554042666.471 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
1554042666.471 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1554042666.471 * [taylor]: Taking taylor expansion of k in k
1554042666.471 * [backup-simplify]: Simplify 0 into 0
1554042666.471 * [backup-simplify]: Simplify 1 into 1
1554042666.471 * [backup-simplify]: Simplify (/ 1 1) into 1
1554042666.471 * [taylor]: Taking taylor expansion of 1 in k
1554042666.471 * [backup-simplify]: Simplify 1 into 1
1554042666.471 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
1554042666.471 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
1554042666.471 * [taylor]: Taking taylor expansion of -2 in k
1554042666.471 * [backup-simplify]: Simplify -2 into -2
1554042666.471 * [taylor]: Taking taylor expansion of (/ PI n) in k
1554042666.471 * [taylor]: Taking taylor expansion of PI in k
1554042666.471 * [backup-simplify]: Simplify PI into PI
1554042666.471 * [taylor]: Taking taylor expansion of n in k
1554042666.471 * [backup-simplify]: Simplify n into n
1554042666.471 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1554042666.472 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1554042666.472 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1554042666.472 * [backup-simplify]: Simplify (+ 1 0) into 1
1554042666.472 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
1554042666.473 * [backup-simplify]: Simplify (* 1/4 (log (* -2 (/ PI n)))) into (* 1/4 (log (* -2 (/ PI n))))
1554042666.473 * [backup-simplify]: Simplify (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/4 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
1554042666.473 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n
1554042666.473 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
1554042666.473 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
1554042666.473 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n
1554042666.473 * [taylor]: Taking taylor expansion of 1/4 in n
1554042666.473 * [backup-simplify]: Simplify 1/4 into 1/4
1554042666.473 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
1554042666.473 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1554042666.473 * [taylor]: Taking taylor expansion of k in n
1554042666.473 * [backup-simplify]: Simplify k into k
1554042666.473 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1554042666.473 * [taylor]: Taking taylor expansion of 1 in n
1554042666.473 * [backup-simplify]: Simplify 1 into 1
1554042666.473 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1554042666.473 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1554042666.473 * [taylor]: Taking taylor expansion of -2 in n
1554042666.473 * [backup-simplify]: Simplify -2 into -2
1554042666.473 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554042666.473 * [taylor]: Taking taylor expansion of PI in n
1554042666.473 * [backup-simplify]: Simplify PI into PI
1554042666.473 * [taylor]: Taking taylor expansion of n in n
1554042666.473 * [backup-simplify]: Simplify 0 into 0
1554042666.474 * [backup-simplify]: Simplify 1 into 1
1554042666.474 * [backup-simplify]: Simplify (/ PI 1) into PI
1554042666.474 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1554042666.475 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1554042666.475 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
1554042666.476 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1))
1554042666.477 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1554042666.477 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
1554042666.478 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
1554042666.478 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n
1554042666.478 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
1554042666.478 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
1554042666.478 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n
1554042666.478 * [taylor]: Taking taylor expansion of 1/4 in n
1554042666.478 * [backup-simplify]: Simplify 1/4 into 1/4
1554042666.478 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
1554042666.478 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1554042666.478 * [taylor]: Taking taylor expansion of k in n
1554042666.478 * [backup-simplify]: Simplify k into k
1554042666.478 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1554042666.478 * [taylor]: Taking taylor expansion of 1 in n
1554042666.478 * [backup-simplify]: Simplify 1 into 1
1554042666.478 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1554042666.478 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1554042666.478 * [taylor]: Taking taylor expansion of -2 in n
1554042666.479 * [backup-simplify]: Simplify -2 into -2
1554042666.479 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554042666.479 * [taylor]: Taking taylor expansion of PI in n
1554042666.479 * [backup-simplify]: Simplify PI into PI
1554042666.479 * [taylor]: Taking taylor expansion of n in n
1554042666.479 * [backup-simplify]: Simplify 0 into 0
1554042666.479 * [backup-simplify]: Simplify 1 into 1
1554042666.479 * [backup-simplify]: Simplify (/ PI 1) into PI
1554042666.479 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1554042666.480 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1554042666.480 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
1554042666.480 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1))
1554042666.481 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1554042666.481 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
1554042666.482 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
1554042666.482 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
1554042666.482 * [taylor]: Taking taylor expansion of (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
1554042666.482 * [taylor]: Taking taylor expansion of 1/4 in k
1554042666.482 * [backup-simplify]: Simplify 1/4 into 1/4
1554042666.482 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
1554042666.482 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
1554042666.482 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1554042666.482 * [taylor]: Taking taylor expansion of k in k
1554042666.482 * [backup-simplify]: Simplify 0 into 0
1554042666.482 * [backup-simplify]: Simplify 1 into 1
1554042666.483 * [backup-simplify]: Simplify (/ 1 1) into 1
1554042666.483 * [taylor]: Taking taylor expansion of 1 in k
1554042666.483 * [backup-simplify]: Simplify 1 into 1
1554042666.483 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
1554042666.483 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
1554042666.483 * [taylor]: Taking taylor expansion of (* -2 PI) in k
1554042666.483 * [taylor]: Taking taylor expansion of -2 in k
1554042666.483 * [backup-simplify]: Simplify -2 into -2
1554042666.483 * [taylor]: Taking taylor expansion of PI in k
1554042666.483 * [backup-simplify]: Simplify PI into PI
1554042666.483 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1554042666.484 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1554042666.484 * [taylor]: Taking taylor expansion of (log n) in k
1554042666.484 * [taylor]: Taking taylor expansion of n in k
1554042666.484 * [backup-simplify]: Simplify n into n
1554042666.484 * [backup-simplify]: Simplify (log n) into (log n)
1554042666.484 * [backup-simplify]: Simplify (+ 1 0) into 1
1554042666.484 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1554042666.485 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
1554042666.485 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
1554042666.486 * [backup-simplify]: Simplify (* 1/4 (- (log (* -2 PI)) (log n))) into (* 1/4 (- (log (* -2 PI)) (log n)))
1554042666.486 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
1554042666.487 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
1554042666.488 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1554042666.488 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1554042666.489 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1554042666.489 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1554042666.489 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042666.490 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (+ (/ 1 k) 1))) into 0
1554042666.491 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1554042666.491 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1554042666.492 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
1554042666.492 * [taylor]: Taking taylor expansion of 0 in k
1554042666.492 * [backup-simplify]: Simplify 0 into 0
1554042666.492 * [backup-simplify]: Simplify 0 into 0
1554042666.492 * [backup-simplify]: Simplify 0 into 0
1554042666.493 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554042666.494 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1554042666.495 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0
1554042666.495 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1554042666.496 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042666.496 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
1554042666.497 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1554042666.498 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
1554042666.499 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1554042666.499 * [taylor]: Taking taylor expansion of 0 in k
1554042666.499 * [backup-simplify]: Simplify 0 into 0
1554042666.499 * [backup-simplify]: Simplify 0 into 0
1554042666.499 * [backup-simplify]: Simplify 0 into 0
1554042666.499 * [backup-simplify]: Simplify 0 into 0
1554042666.500 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554042666.501 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1554042666.504 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 PI) 1)))) 6) into 0
1554042666.504 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1554042666.504 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042666.506 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0
1554042666.507 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1554042666.509 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
1554042666.512 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1554042666.512 * [taylor]: Taking taylor expansion of 0 in k
1554042666.512 * [backup-simplify]: Simplify 0 into 0
1554042666.512 * [backup-simplify]: Simplify 0 into 0
1554042666.513 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
1554042666.513 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
1554042666.514 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) into (pow (* 2 (* n PI)) (* 1/4 (- 1 k)))
1554042666.514 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in (n k) around 0
1554042666.514 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in k
1554042666.514 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in k
1554042666.514 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in k
1554042666.514 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in k
1554042666.514 * [taylor]: Taking taylor expansion of 1/4 in k
1554042666.514 * [backup-simplify]: Simplify 1/4 into 1/4
1554042666.514 * [taylor]: Taking taylor expansion of (- 1 k) in k
1554042666.514 * [taylor]: Taking taylor expansion of 1 in k
1554042666.514 * [backup-simplify]: Simplify 1 into 1
1554042666.514 * [taylor]: Taking taylor expansion of k in k
1554042666.514 * [backup-simplify]: Simplify 0 into 0
1554042666.514 * [backup-simplify]: Simplify 1 into 1
1554042666.514 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1554042666.514 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1554042666.514 * [taylor]: Taking taylor expansion of 2 in k
1554042666.514 * [backup-simplify]: Simplify 2 into 2
1554042666.514 * [taylor]: Taking taylor expansion of (* n PI) in k
1554042666.514 * [taylor]: Taking taylor expansion of n in k
1554042666.514 * [backup-simplify]: Simplify n into n
1554042666.514 * [taylor]: Taking taylor expansion of PI in k
1554042666.514 * [backup-simplify]: Simplify PI into PI
1554042666.514 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1554042666.515 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1554042666.515 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1554042666.515 * [backup-simplify]: Simplify (- 0) into 0
1554042666.515 * [backup-simplify]: Simplify (+ 1 0) into 1
1554042666.516 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
1554042666.516 * [backup-simplify]: Simplify (* 1/4 (log (* 2 (* n PI)))) into (* 1/4 (log (* 2 (* n PI))))
1554042666.516 * [backup-simplify]: Simplify (exp (* 1/4 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/4)
1554042666.516 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n
1554042666.516 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n
1554042666.516 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n
1554042666.516 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n
1554042666.516 * [taylor]: Taking taylor expansion of 1/4 in n
1554042666.516 * [backup-simplify]: Simplify 1/4 into 1/4
1554042666.516 * [taylor]: Taking taylor expansion of (- 1 k) in n
1554042666.516 * [taylor]: Taking taylor expansion of 1 in n
1554042666.516 * [backup-simplify]: Simplify 1 into 1
1554042666.516 * [taylor]: Taking taylor expansion of k in n
1554042666.516 * [backup-simplify]: Simplify k into k
1554042666.517 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1554042666.517 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1554042666.517 * [taylor]: Taking taylor expansion of 2 in n
1554042666.517 * [backup-simplify]: Simplify 2 into 2
1554042666.517 * [taylor]: Taking taylor expansion of (* n PI) in n
1554042666.517 * [taylor]: Taking taylor expansion of n in n
1554042666.517 * [backup-simplify]: Simplify 0 into 0
1554042666.517 * [backup-simplify]: Simplify 1 into 1
1554042666.517 * [taylor]: Taking taylor expansion of PI in n
1554042666.517 * [backup-simplify]: Simplify PI into PI
1554042666.517 * [backup-simplify]: Simplify (* 0 PI) into 0
1554042666.518 * [backup-simplify]: Simplify (* 2 0) into 0
1554042666.519 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1554042666.521 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1554042666.522 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554042666.522 * [backup-simplify]: Simplify (- k) into (- k)
1554042666.522 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
1554042666.522 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k))
1554042666.523 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554042666.524 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
1554042666.526 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
1554042666.526 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n
1554042666.526 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n
1554042666.526 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n
1554042666.526 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n
1554042666.526 * [taylor]: Taking taylor expansion of 1/4 in n
1554042666.526 * [backup-simplify]: Simplify 1/4 into 1/4
1554042666.526 * [taylor]: Taking taylor expansion of (- 1 k) in n
1554042666.526 * [taylor]: Taking taylor expansion of 1 in n
1554042666.526 * [backup-simplify]: Simplify 1 into 1
1554042666.526 * [taylor]: Taking taylor expansion of k in n
1554042666.526 * [backup-simplify]: Simplify k into k
1554042666.526 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1554042666.526 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1554042666.526 * [taylor]: Taking taylor expansion of 2 in n
1554042666.526 * [backup-simplify]: Simplify 2 into 2
1554042666.526 * [taylor]: Taking taylor expansion of (* n PI) in n
1554042666.526 * [taylor]: Taking taylor expansion of n in n
1554042666.526 * [backup-simplify]: Simplify 0 into 0
1554042666.526 * [backup-simplify]: Simplify 1 into 1
1554042666.526 * [taylor]: Taking taylor expansion of PI in n
1554042666.526 * [backup-simplify]: Simplify PI into PI
1554042666.527 * [backup-simplify]: Simplify (* 0 PI) into 0
1554042666.527 * [backup-simplify]: Simplify (* 2 0) into 0
1554042666.528 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1554042666.530 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1554042666.531 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554042666.531 * [backup-simplify]: Simplify (- k) into (- k)
1554042666.531 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
1554042666.531 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k))
1554042666.532 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554042666.533 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
1554042666.534 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
1554042666.534 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
1554042666.534 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
1554042666.535 * [taylor]: Taking taylor expansion of 1/4 in k
1554042666.535 * [backup-simplify]: Simplify 1/4 into 1/4
1554042666.535 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
1554042666.535 * [taylor]: Taking taylor expansion of (- 1 k) in k
1554042666.535 * [taylor]: Taking taylor expansion of 1 in k
1554042666.535 * [backup-simplify]: Simplify 1 into 1
1554042666.535 * [taylor]: Taking taylor expansion of k in k
1554042666.535 * [backup-simplify]: Simplify 0 into 0
1554042666.535 * [backup-simplify]: Simplify 1 into 1
1554042666.535 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1554042666.535 * [taylor]: Taking taylor expansion of (log n) in k
1554042666.535 * [taylor]: Taking taylor expansion of n in k
1554042666.535 * [backup-simplify]: Simplify n into n
1554042666.535 * [backup-simplify]: Simplify (log n) into (log n)
1554042666.535 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1554042666.535 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1554042666.535 * [taylor]: Taking taylor expansion of 2 in k
1554042666.535 * [backup-simplify]: Simplify 2 into 2
1554042666.535 * [taylor]: Taking taylor expansion of PI in k
1554042666.535 * [backup-simplify]: Simplify PI into PI
1554042666.536 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554042666.536 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554042666.537 * [backup-simplify]: Simplify (- 0) into 0
1554042666.537 * [backup-simplify]: Simplify (+ 1 0) into 1
1554042666.538 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554042666.539 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
1554042666.540 * [backup-simplify]: Simplify (* 1/4 (+ (log n) (log (* 2 PI)))) into (* 1/4 (+ (log n) (log (* 2 PI))))
1554042666.541 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI)))))
1554042666.542 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI)))))
1554042666.543 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1554042666.544 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1554042666.546 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1554042666.546 * [backup-simplify]: Simplify (- 0) into 0
1554042666.547 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042666.547 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 k))) into 0
1554042666.548 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554042666.550 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1554042666.551 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
1554042666.551 * [taylor]: Taking taylor expansion of 0 in k
1554042666.551 * [backup-simplify]: Simplify 0 into 0
1554042666.551 * [backup-simplify]: Simplify 0 into 0
1554042666.552 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1554042666.553 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1554042666.555 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1554042666.555 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042666.555 * [backup-simplify]: Simplify (- 1) into -1
1554042666.556 * [backup-simplify]: Simplify (+ 0 -1) into -1
1554042666.557 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
1554042666.559 * [backup-simplify]: Simplify (+ (* 1/4 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))))
1554042666.562 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI)))))))
1554042666.572 * [backup-simplify]: Simplify (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) into (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI)))))))
1554042666.573 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1554042666.575 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1554042666.578 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
1554042666.578 * [backup-simplify]: Simplify (- 0) into 0
1554042666.579 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042666.580 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
1554042666.581 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554042666.583 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1554042666.585 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1554042666.585 * [taylor]: Taking taylor expansion of 0 in k
1554042666.585 * [backup-simplify]: Simplify 0 into 0
1554042666.585 * [backup-simplify]: Simplify 0 into 0
1554042666.585 * [backup-simplify]: Simplify 0 into 0
1554042666.587 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
1554042666.588 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1554042666.591 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
1554042666.592 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042666.592 * [backup-simplify]: Simplify (- 0) into 0
1554042666.593 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042666.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1554042666.597 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1554042666.600 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2)))))
1554042666.605 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) into (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2)))))
1554042666.615 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) (* k 1)) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) into (- (+ (* 1/16 (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/32 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/4 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/4 (* k (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))))))
1554042666.615 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (/ (- 1 (/ 1 k)) 2) 2)) into (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k))))
1554042666.616 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in (n k) around 0
1554042666.616 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in k
1554042666.616 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1554042666.616 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1554042666.616 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in k
1554042666.616 * [taylor]: Taking taylor expansion of 1/4 in k
1554042666.616 * [backup-simplify]: Simplify 1/4 into 1/4
1554042666.616 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
1554042666.616 * [taylor]: Taking taylor expansion of 1 in k
1554042666.616 * [backup-simplify]: Simplify 1 into 1
1554042666.616 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1554042666.616 * [taylor]: Taking taylor expansion of k in k
1554042666.616 * [backup-simplify]: Simplify 0 into 0
1554042666.616 * [backup-simplify]: Simplify 1 into 1
1554042666.616 * [backup-simplify]: Simplify (/ 1 1) into 1
1554042666.616 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
1554042666.616 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
1554042666.616 * [taylor]: Taking taylor expansion of 2 in k
1554042666.617 * [backup-simplify]: Simplify 2 into 2
1554042666.617 * [taylor]: Taking taylor expansion of (/ PI n) in k
1554042666.617 * [taylor]: Taking taylor expansion of PI in k
1554042666.617 * [backup-simplify]: Simplify PI into PI
1554042666.617 * [taylor]: Taking taylor expansion of n in k
1554042666.617 * [backup-simplify]: Simplify n into n
1554042666.617 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1554042666.617 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1554042666.617 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1554042666.617 * [backup-simplify]: Simplify (- 1) into -1
1554042666.618 * [backup-simplify]: Simplify (+ 0 -1) into -1
1554042666.618 * [backup-simplify]: Simplify (* 1/4 -1) into -1/4
1554042666.619 * [backup-simplify]: Simplify (* -1/4 (log (* 2 (/ PI n)))) into (* -1/4 (log (* 2 (/ PI n))))
1554042666.619 * [backup-simplify]: Simplify (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
1554042666.619 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n
1554042666.619 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1554042666.619 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1554042666.619 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n
1554042666.619 * [taylor]: Taking taylor expansion of 1/4 in n
1554042666.619 * [backup-simplify]: Simplify 1/4 into 1/4
1554042666.619 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
1554042666.619 * [taylor]: Taking taylor expansion of 1 in n
1554042666.619 * [backup-simplify]: Simplify 1 into 1
1554042666.619 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1554042666.619 * [taylor]: Taking taylor expansion of k in n
1554042666.619 * [backup-simplify]: Simplify k into k
1554042666.619 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1554042666.619 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1554042666.619 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1554042666.619 * [taylor]: Taking taylor expansion of 2 in n
1554042666.619 * [backup-simplify]: Simplify 2 into 2
1554042666.619 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554042666.619 * [taylor]: Taking taylor expansion of PI in n
1554042666.619 * [backup-simplify]: Simplify PI into PI
1554042666.619 * [taylor]: Taking taylor expansion of n in n
1554042666.619 * [backup-simplify]: Simplify 0 into 0
1554042666.619 * [backup-simplify]: Simplify 1 into 1
1554042666.620 * [backup-simplify]: Simplify (/ PI 1) into PI
1554042666.620 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554042666.621 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554042666.622 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
1554042666.622 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
1554042666.622 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k)))
1554042666.623 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1554042666.625 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
1554042666.625 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
1554042666.625 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n
1554042666.625 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1554042666.625 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1554042666.625 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n
1554042666.626 * [taylor]: Taking taylor expansion of 1/4 in n
1554042666.626 * [backup-simplify]: Simplify 1/4 into 1/4
1554042666.626 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
1554042666.626 * [taylor]: Taking taylor expansion of 1 in n
1554042666.626 * [backup-simplify]: Simplify 1 into 1
1554042666.626 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1554042666.626 * [taylor]: Taking taylor expansion of k in n
1554042666.626 * [backup-simplify]: Simplify k into k
1554042666.626 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1554042666.626 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1554042666.626 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1554042666.626 * [taylor]: Taking taylor expansion of 2 in n
1554042666.626 * [backup-simplify]: Simplify 2 into 2
1554042666.626 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554042666.626 * [taylor]: Taking taylor expansion of PI in n
1554042666.626 * [backup-simplify]: Simplify PI into PI
1554042666.626 * [taylor]: Taking taylor expansion of n in n
1554042666.626 * [backup-simplify]: Simplify 0 into 0
1554042666.626 * [backup-simplify]: Simplify 1 into 1
1554042666.627 * [backup-simplify]: Simplify (/ PI 1) into PI
1554042666.627 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554042666.628 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554042666.628 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
1554042666.628 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
1554042666.628 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k)))
1554042666.629 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1554042666.630 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
1554042666.631 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
1554042666.631 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
1554042666.631 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
1554042666.631 * [taylor]: Taking taylor expansion of 1/4 in k
1554042666.631 * [backup-simplify]: Simplify 1/4 into 1/4
1554042666.631 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
1554042666.631 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
1554042666.631 * [taylor]: Taking taylor expansion of 1 in k
1554042666.631 * [backup-simplify]: Simplify 1 into 1
1554042666.631 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1554042666.631 * [taylor]: Taking taylor expansion of k in k
1554042666.631 * [backup-simplify]: Simplify 0 into 0
1554042666.631 * [backup-simplify]: Simplify 1 into 1
1554042666.631 * [backup-simplify]: Simplify (/ 1 1) into 1
1554042666.631 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1554042666.631 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1554042666.631 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1554042666.631 * [taylor]: Taking taylor expansion of 2 in k
1554042666.631 * [backup-simplify]: Simplify 2 into 2
1554042666.631 * [taylor]: Taking taylor expansion of PI in k
1554042666.631 * [backup-simplify]: Simplify PI into PI
1554042666.632 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554042666.632 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554042666.632 * [taylor]: Taking taylor expansion of (log n) in k
1554042666.632 * [taylor]: Taking taylor expansion of n in k
1554042666.632 * [backup-simplify]: Simplify n into n
1554042666.632 * [backup-simplify]: Simplify (log n) into (log n)
1554042666.632 * [backup-simplify]: Simplify (- 1) into -1
1554042666.633 * [backup-simplify]: Simplify (+ 0 -1) into -1
1554042666.633 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1554042666.633 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1554042666.634 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
1554042666.635 * [backup-simplify]: Simplify (* 1/4 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/4 (- (log (* 2 PI)) (log n)))
1554042666.635 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
1554042666.636 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
1554042666.637 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1554042666.637 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1554042666.638 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1554042666.638 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1554042666.638 * [backup-simplify]: Simplify (- 0) into 0
1554042666.638 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042666.639 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 (/ 1 k)))) into 0
1554042666.640 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1554042666.640 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1554042666.641 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
1554042666.641 * [taylor]: Taking taylor expansion of 0 in k
1554042666.642 * [backup-simplify]: Simplify 0 into 0
1554042666.642 * [backup-simplify]: Simplify 0 into 0
1554042666.642 * [backup-simplify]: Simplify 0 into 0
1554042666.642 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554042666.643 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1554042666.644 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
1554042666.645 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1554042666.645 * [backup-simplify]: Simplify (- 0) into 0
1554042666.645 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042666.646 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
1554042666.646 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1554042666.647 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
1554042666.649 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1554042666.649 * [taylor]: Taking taylor expansion of 0 in k
1554042666.649 * [backup-simplify]: Simplify 0 into 0
1554042666.649 * [backup-simplify]: Simplify 0 into 0
1554042666.649 * [backup-simplify]: Simplify 0 into 0
1554042666.649 * [backup-simplify]: Simplify 0 into 0
1554042666.649 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554042666.650 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1554042666.653 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
1554042666.654 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1554042666.654 * [backup-simplify]: Simplify (- 0) into 0
1554042666.654 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042666.655 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
1554042666.656 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1554042666.657 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
1554042666.658 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1554042666.658 * [taylor]: Taking taylor expansion of 0 in k
1554042666.658 * [backup-simplify]: Simplify 0 into 0
1554042666.658 * [backup-simplify]: Simplify 0 into 0
1554042666.659 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
1554042666.660 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (/ (- 1 (/ 1 (- k))) 2) 2)) into (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1)))
1554042666.660 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in (n k) around 0
1554042666.660 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in k
1554042666.660 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
1554042666.660 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
1554042666.660 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in k
1554042666.660 * [taylor]: Taking taylor expansion of 1/4 in k
1554042666.660 * [backup-simplify]: Simplify 1/4 into 1/4
1554042666.660 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
1554042666.660 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1554042666.660 * [taylor]: Taking taylor expansion of k in k
1554042666.660 * [backup-simplify]: Simplify 0 into 0
1554042666.660 * [backup-simplify]: Simplify 1 into 1
1554042666.660 * [backup-simplify]: Simplify (/ 1 1) into 1
1554042666.660 * [taylor]: Taking taylor expansion of 1 in k
1554042666.660 * [backup-simplify]: Simplify 1 into 1
1554042666.660 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
1554042666.660 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
1554042666.660 * [taylor]: Taking taylor expansion of -2 in k
1554042666.660 * [backup-simplify]: Simplify -2 into -2
1554042666.660 * [taylor]: Taking taylor expansion of (/ PI n) in k
1554042666.660 * [taylor]: Taking taylor expansion of PI in k
1554042666.660 * [backup-simplify]: Simplify PI into PI
1554042666.660 * [taylor]: Taking taylor expansion of n in k
1554042666.660 * [backup-simplify]: Simplify n into n
1554042666.660 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1554042666.660 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1554042666.660 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1554042666.661 * [backup-simplify]: Simplify (+ 1 0) into 1
1554042666.661 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
1554042666.661 * [backup-simplify]: Simplify (* 1/4 (log (* -2 (/ PI n)))) into (* 1/4 (log (* -2 (/ PI n))))
1554042666.661 * [backup-simplify]: Simplify (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/4 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
1554042666.661 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n
1554042666.661 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
1554042666.661 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
1554042666.662 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n
1554042666.662 * [taylor]: Taking taylor expansion of 1/4 in n
1554042666.662 * [backup-simplify]: Simplify 1/4 into 1/4
1554042666.662 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
1554042666.662 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1554042666.662 * [taylor]: Taking taylor expansion of k in n
1554042666.662 * [backup-simplify]: Simplify k into k
1554042666.662 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1554042666.662 * [taylor]: Taking taylor expansion of 1 in n
1554042666.662 * [backup-simplify]: Simplify 1 into 1
1554042666.662 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1554042666.662 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1554042666.662 * [taylor]: Taking taylor expansion of -2 in n
1554042666.662 * [backup-simplify]: Simplify -2 into -2
1554042666.662 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554042666.662 * [taylor]: Taking taylor expansion of PI in n
1554042666.662 * [backup-simplify]: Simplify PI into PI
1554042666.662 * [taylor]: Taking taylor expansion of n in n
1554042666.662 * [backup-simplify]: Simplify 0 into 0
1554042666.662 * [backup-simplify]: Simplify 1 into 1
1554042666.662 * [backup-simplify]: Simplify (/ PI 1) into PI
1554042666.663 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1554042666.664 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1554042666.664 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
1554042666.664 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1))
1554042666.665 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1554042666.666 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
1554042666.667 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
1554042666.667 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n
1554042666.668 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
1554042666.668 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
1554042666.668 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n
1554042666.668 * [taylor]: Taking taylor expansion of 1/4 in n
1554042666.668 * [backup-simplify]: Simplify 1/4 into 1/4
1554042666.668 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
1554042666.668 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1554042666.668 * [taylor]: Taking taylor expansion of k in n
1554042666.668 * [backup-simplify]: Simplify k into k
1554042666.668 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1554042666.668 * [taylor]: Taking taylor expansion of 1 in n
1554042666.668 * [backup-simplify]: Simplify 1 into 1
1554042666.668 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1554042666.668 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1554042666.668 * [taylor]: Taking taylor expansion of -2 in n
1554042666.668 * [backup-simplify]: Simplify -2 into -2
1554042666.668 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554042666.668 * [taylor]: Taking taylor expansion of PI in n
1554042666.668 * [backup-simplify]: Simplify PI into PI
1554042666.668 * [taylor]: Taking taylor expansion of n in n
1554042666.668 * [backup-simplify]: Simplify 0 into 0
1554042666.668 * [backup-simplify]: Simplify 1 into 1
1554042666.669 * [backup-simplify]: Simplify (/ PI 1) into PI
1554042666.669 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1554042666.670 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1554042666.670 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
1554042666.670 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1))
1554042666.671 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1554042666.672 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
1554042666.673 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
1554042666.674 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
1554042666.674 * [taylor]: Taking taylor expansion of (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
1554042666.674 * [taylor]: Taking taylor expansion of 1/4 in k
1554042666.674 * [backup-simplify]: Simplify 1/4 into 1/4
1554042666.674 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
1554042666.674 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
1554042666.674 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1554042666.674 * [taylor]: Taking taylor expansion of k in k
1554042666.674 * [backup-simplify]: Simplify 0 into 0
1554042666.674 * [backup-simplify]: Simplify 1 into 1
1554042666.674 * [backup-simplify]: Simplify (/ 1 1) into 1
1554042666.674 * [taylor]: Taking taylor expansion of 1 in k
1554042666.674 * [backup-simplify]: Simplify 1 into 1
1554042666.674 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
1554042666.674 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
1554042666.674 * [taylor]: Taking taylor expansion of (* -2 PI) in k
1554042666.674 * [taylor]: Taking taylor expansion of -2 in k
1554042666.674 * [backup-simplify]: Simplify -2 into -2
1554042666.674 * [taylor]: Taking taylor expansion of PI in k
1554042666.674 * [backup-simplify]: Simplify PI into PI
1554042666.675 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1554042666.676 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1554042666.676 * [taylor]: Taking taylor expansion of (log n) in k
1554042666.676 * [taylor]: Taking taylor expansion of n in k
1554042666.676 * [backup-simplify]: Simplify n into n
1554042666.676 * [backup-simplify]: Simplify (log n) into (log n)
1554042666.676 * [backup-simplify]: Simplify (+ 1 0) into 1
1554042666.676 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1554042666.677 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
1554042666.678 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
1554042666.679 * [backup-simplify]: Simplify (* 1/4 (- (log (* -2 PI)) (log n))) into (* 1/4 (- (log (* -2 PI)) (log n)))
1554042666.681 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
1554042666.682 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
1554042666.683 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1554042666.684 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1554042666.685 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1554042666.685 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1554042666.686 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042666.686 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (+ (/ 1 k) 1))) into 0
1554042666.688 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1554042666.689 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1554042666.696 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
1554042666.696 * [taylor]: Taking taylor expansion of 0 in k
1554042666.696 * [backup-simplify]: Simplify 0 into 0
1554042666.697 * [backup-simplify]: Simplify 0 into 0
1554042666.697 * [backup-simplify]: Simplify 0 into 0
1554042666.698 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554042666.699 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1554042666.702 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0
1554042666.702 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1554042666.703 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042666.704 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
1554042666.705 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1554042666.706 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
1554042666.709 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1554042666.709 * [taylor]: Taking taylor expansion of 0 in k
1554042666.709 * [backup-simplify]: Simplify 0 into 0
1554042666.709 * [backup-simplify]: Simplify 0 into 0
1554042666.709 * [backup-simplify]: Simplify 0 into 0
1554042666.709 * [backup-simplify]: Simplify 0 into 0
1554042666.710 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554042666.711 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1554042666.717 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 PI) 1)))) 6) into 0
1554042666.717 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1554042666.718 * [backup-simplify]: Simplify (+ 0 0) into 0
1554042666.719 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0
1554042666.721 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1554042666.723 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
1554042666.725 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1554042666.725 * [taylor]: Taking taylor expansion of 0 in k
1554042666.725 * [backup-simplify]: Simplify 0 into 0
1554042666.725 * [backup-simplify]: Simplify 0 into 0
1554042666.727 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
1554042666.727 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1)
1554042666.727 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI))
1554042666.727 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
1554042666.727 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1554042666.727 * [taylor]: Taking taylor expansion of 2 in n
1554042666.727 * [backup-simplify]: Simplify 2 into 2
1554042666.727 * [taylor]: Taking taylor expansion of (* n PI) in n
1554042666.727 * [taylor]: Taking taylor expansion of n in n
1554042666.727 * [backup-simplify]: Simplify 0 into 0
1554042666.727 * [backup-simplify]: Simplify 1 into 1
1554042666.727 * [taylor]: Taking taylor expansion of PI in n
1554042666.728 * [backup-simplify]: Simplify PI into PI
1554042666.728 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1554042666.728 * [taylor]: Taking taylor expansion of 2 in n
1554042666.728 * [backup-simplify]: Simplify 2 into 2
1554042666.728 * [taylor]: Taking taylor expansion of (* n PI) in n
1554042666.728 * [taylor]: Taking taylor expansion of n in n
1554042666.728 * [backup-simplify]: Simplify 0 into 0
1554042666.728 * [backup-simplify]: Simplify 1 into 1
1554042666.728 * [taylor]: Taking taylor expansion of PI in n
1554042666.728 * [backup-simplify]: Simplify PI into PI
1554042666.728 * [backup-simplify]: Simplify (* 0 PI) into 0
1554042666.729 * [backup-simplify]: Simplify (* 2 0) into 0
1554042666.729 * [backup-simplify]: Simplify 0 into 0
1554042666.730 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1554042666.731 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1554042666.731 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554042666.732 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1554042666.732 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1554042666.732 * [backup-simplify]: Simplify 0 into 0
1554042666.733 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1554042666.734 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1554042666.734 * [backup-simplify]: Simplify 0 into 0
1554042666.734 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1554042666.735 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1554042666.735 * [backup-simplify]: Simplify 0 into 0
1554042666.736 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1554042666.737 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
1554042666.737 * [backup-simplify]: Simplify 0 into 0
1554042666.738 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1554042666.738 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
1554042666.738 * [backup-simplify]: Simplify 0 into 0
1554042666.739 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
1554042666.740 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
1554042666.740 * [backup-simplify]: Simplify 0 into 0
1554042666.741 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
1554042666.741 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n))
1554042666.741 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
1554042666.741 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1554042666.741 * [taylor]: Taking taylor expansion of 2 in n
1554042666.741 * [backup-simplify]: Simplify 2 into 2
1554042666.741 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554042666.741 * [taylor]: Taking taylor expansion of PI in n
1554042666.741 * [backup-simplify]: Simplify PI into PI
1554042666.741 * [taylor]: Taking taylor expansion of n in n
1554042666.741 * [backup-simplify]: Simplify 0 into 0
1554042666.741 * [backup-simplify]: Simplify 1 into 1
1554042666.742 * [backup-simplify]: Simplify (/ PI 1) into PI
1554042666.742 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1554042666.742 * [taylor]: Taking taylor expansion of 2 in n
1554042666.742 * [backup-simplify]: Simplify 2 into 2
1554042666.742 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554042666.742 * [taylor]: Taking taylor expansion of PI in n
1554042666.742 * [backup-simplify]: Simplify PI into PI
1554042666.742 * [taylor]: Taking taylor expansion of n in n
1554042666.742 * [backup-simplify]: Simplify 0 into 0
1554042666.742 * [backup-simplify]: Simplify 1 into 1
1554042666.742 * [backup-simplify]: Simplify (/ PI 1) into PI
1554042666.742 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554042666.743 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554042666.743 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1554042666.744 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1554042666.744 * [backup-simplify]: Simplify 0 into 0
1554042666.744 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554042666.745 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1554042666.745 * [backup-simplify]: Simplify 0 into 0
1554042666.746 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554042666.746 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1554042666.746 * [backup-simplify]: Simplify 0 into 0
1554042666.747 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554042666.748 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1554042666.748 * [backup-simplify]: Simplify 0 into 0
1554042666.749 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554042666.749 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1554042666.750 * [backup-simplify]: Simplify 0 into 0
1554042666.750 * [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
1554042666.751 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1554042666.751 * [backup-simplify]: Simplify 0 into 0
1554042666.751 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
1554042666.752 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n))
1554042666.752 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
1554042666.752 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1554042666.752 * [taylor]: Taking taylor expansion of -2 in n
1554042666.752 * [backup-simplify]: Simplify -2 into -2
1554042666.752 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554042666.752 * [taylor]: Taking taylor expansion of PI in n
1554042666.752 * [backup-simplify]: Simplify PI into PI
1554042666.752 * [taylor]: Taking taylor expansion of n in n
1554042666.752 * [backup-simplify]: Simplify 0 into 0
1554042666.752 * [backup-simplify]: Simplify 1 into 1
1554042666.752 * [backup-simplify]: Simplify (/ PI 1) into PI
1554042666.752 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1554042666.752 * [taylor]: Taking taylor expansion of -2 in n
1554042666.752 * [backup-simplify]: Simplify -2 into -2
1554042666.752 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554042666.752 * [taylor]: Taking taylor expansion of PI in n
1554042666.752 * [backup-simplify]: Simplify PI into PI
1554042666.752 * [taylor]: Taking taylor expansion of n in n
1554042666.752 * [backup-simplify]: Simplify 0 into 0
1554042666.752 * [backup-simplify]: Simplify 1 into 1
1554042666.753 * [backup-simplify]: Simplify (/ PI 1) into PI
1554042666.753 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1554042666.753 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1554042666.754 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1554042666.754 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1554042666.754 * [backup-simplify]: Simplify 0 into 0
1554042666.755 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554042666.755 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1554042666.755 * [backup-simplify]: Simplify 0 into 0
1554042666.756 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554042666.757 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1554042666.757 * [backup-simplify]: Simplify 0 into 0
1554042666.757 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554042666.758 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1554042666.758 * [backup-simplify]: Simplify 0 into 0
1554042666.759 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554042666.759 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1554042666.759 * [backup-simplify]: Simplify 0 into 0
1554042666.760 * [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
1554042666.761 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1554042666.761 * [backup-simplify]: Simplify 0 into 0
1554042666.761 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
1554042666.761 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1)
1554042666.762 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI))
1554042666.762 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
1554042666.762 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1554042666.762 * [taylor]: Taking taylor expansion of 2 in n
1554042666.762 * [backup-simplify]: Simplify 2 into 2
1554042666.762 * [taylor]: Taking taylor expansion of (* n PI) in n
1554042666.762 * [taylor]: Taking taylor expansion of n in n
1554042666.762 * [backup-simplify]: Simplify 0 into 0
1554042666.762 * [backup-simplify]: Simplify 1 into 1
1554042666.762 * [taylor]: Taking taylor expansion of PI in n
1554042666.762 * [backup-simplify]: Simplify PI into PI
1554042666.762 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1554042666.762 * [taylor]: Taking taylor expansion of 2 in n
1554042666.762 * [backup-simplify]: Simplify 2 into 2
1554042666.762 * [taylor]: Taking taylor expansion of (* n PI) in n
1554042666.762 * [taylor]: Taking taylor expansion of n in n
1554042666.762 * [backup-simplify]: Simplify 0 into 0
1554042666.762 * [backup-simplify]: Simplify 1 into 1
1554042666.762 * [taylor]: Taking taylor expansion of PI in n
1554042666.762 * [backup-simplify]: Simplify PI into PI
1554042666.762 * [backup-simplify]: Simplify (* 0 PI) into 0
1554042666.763 * [backup-simplify]: Simplify (* 2 0) into 0
1554042666.763 * [backup-simplify]: Simplify 0 into 0
1554042666.764 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1554042666.764 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1554042666.765 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554042666.765 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1554042666.766 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1554042666.766 * [backup-simplify]: Simplify 0 into 0
1554042666.767 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1554042666.767 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1554042666.767 * [backup-simplify]: Simplify 0 into 0
1554042666.768 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1554042666.769 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1554042666.769 * [backup-simplify]: Simplify 0 into 0
1554042666.770 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1554042666.772 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
1554042666.772 * [backup-simplify]: Simplify 0 into 0
1554042666.773 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1554042666.775 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
1554042666.775 * [backup-simplify]: Simplify 0 into 0
1554042666.777 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
1554042666.778 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
1554042666.779 * [backup-simplify]: Simplify 0 into 0
1554042666.779 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
1554042666.780 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n))
1554042666.780 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
1554042666.780 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1554042666.780 * [taylor]: Taking taylor expansion of 2 in n
1554042666.780 * [backup-simplify]: Simplify 2 into 2
1554042666.780 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554042666.780 * [taylor]: Taking taylor expansion of PI in n
1554042666.780 * [backup-simplify]: Simplify PI into PI
1554042666.780 * [taylor]: Taking taylor expansion of n in n
1554042666.780 * [backup-simplify]: Simplify 0 into 0
1554042666.780 * [backup-simplify]: Simplify 1 into 1
1554042666.780 * [backup-simplify]: Simplify (/ PI 1) into PI
1554042666.780 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1554042666.780 * [taylor]: Taking taylor expansion of 2 in n
1554042666.780 * [backup-simplify]: Simplify 2 into 2
1554042666.780 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554042666.780 * [taylor]: Taking taylor expansion of PI in n
1554042666.780 * [backup-simplify]: Simplify PI into PI
1554042666.780 * [taylor]: Taking taylor expansion of n in n
1554042666.781 * [backup-simplify]: Simplify 0 into 0
1554042666.781 * [backup-simplify]: Simplify 1 into 1
1554042666.781 * [backup-simplify]: Simplify (/ PI 1) into PI
1554042666.782 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554042666.782 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554042666.783 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1554042666.784 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1554042666.784 * [backup-simplify]: Simplify 0 into 0
1554042666.785 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554042666.786 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1554042666.786 * [backup-simplify]: Simplify 0 into 0
1554042666.787 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554042666.788 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1554042666.788 * [backup-simplify]: Simplify 0 into 0
1554042666.789 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554042666.790 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1554042666.790 * [backup-simplify]: Simplify 0 into 0
1554042666.790 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554042666.791 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1554042666.791 * [backup-simplify]: Simplify 0 into 0
1554042666.792 * [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
1554042666.793 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1554042666.793 * [backup-simplify]: Simplify 0 into 0
1554042666.793 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
1554042666.794 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n))
1554042666.794 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
1554042666.794 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1554042666.794 * [taylor]: Taking taylor expansion of -2 in n
1554042666.794 * [backup-simplify]: Simplify -2 into -2
1554042666.794 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554042666.794 * [taylor]: Taking taylor expansion of PI in n
1554042666.794 * [backup-simplify]: Simplify PI into PI
1554042666.794 * [taylor]: Taking taylor expansion of n in n
1554042666.794 * [backup-simplify]: Simplify 0 into 0
1554042666.794 * [backup-simplify]: Simplify 1 into 1
1554042666.794 * [backup-simplify]: Simplify (/ PI 1) into PI
1554042666.794 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1554042666.794 * [taylor]: Taking taylor expansion of -2 in n
1554042666.794 * [backup-simplify]: Simplify -2 into -2
1554042666.794 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554042666.794 * [taylor]: Taking taylor expansion of PI in n
1554042666.794 * [backup-simplify]: Simplify PI into PI
1554042666.794 * [taylor]: Taking taylor expansion of n in n
1554042666.794 * [backup-simplify]: Simplify 0 into 0
1554042666.794 * [backup-simplify]: Simplify 1 into 1
1554042666.795 * [backup-simplify]: Simplify (/ PI 1) into PI
1554042666.795 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1554042666.795 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1554042666.796 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1554042666.796 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1554042666.796 * [backup-simplify]: Simplify 0 into 0
1554042666.797 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554042666.797 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1554042666.797 * [backup-simplify]: Simplify 0 into 0
1554042666.798 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554042666.799 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1554042666.799 * [backup-simplify]: Simplify 0 into 0
1554042666.799 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554042666.800 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1554042666.800 * [backup-simplify]: Simplify 0 into 0
1554042666.800 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554042666.809 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1554042666.809 * [backup-simplify]: Simplify 0 into 0
1554042666.809 * [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
1554042666.810 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1554042666.810 * [backup-simplify]: Simplify 0 into 0
1554042666.811 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
1554042666.811 * * * [progress]: simplifying candidates
1554042666.811 * * * * [progress]: [ 1 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (exp (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2))) (pow k -1/2))))>
1554042666.811 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2))
1554042666.811 * * [simplify]: iters left: 6 (14 enodes)
1554042666.816 * * [simplify]: iters left: 5 (60 enodes)
1554042666.828 * * [simplify]: iters left: 4 (108 enodes)
1554042666.853 * * [simplify]: iters left: 3 (249 enodes)
1554042666.929 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042666.929 * * [simplify]: Extracting #1: cost 28 inf + 0
1554042666.930 * * [simplify]: Extracting #2: cost 114 inf + 2
1554042666.931 * * [simplify]: Extracting #3: cost 151 inf + 301
1554042666.935 * * [simplify]: Extracting #4: cost 84 inf + 10352
1554042666.943 * * [simplify]: Extracting #5: cost 17 inf + 27228
1554042666.950 * * [simplify]: Extracting #6: cost 0 inf + 31848
1554042666.956 * * [simplify]: Extracting #7: cost 0 inf + 31808
1554042666.962 * [simplify]: Simplified to (/ (+ (log n) (+ (log 2) (log PI))) (/ 4 (- 1 k)))
1554042666.962 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (exp (/ (+ (log n) (+ (log 2) (log PI))) (/ 4 (- 1 k)))) (pow k -1/2))))
1554042666.962 * * * * [progress]: [ 2 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (exp (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2))) (pow k -1/2))))>
1554042666.963 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2))
1554042666.963 * * [simplify]: iters left: 6 (13 enodes)
1554042666.967 * * [simplify]: iters left: 5 (58 enodes)
1554042666.979 * * [simplify]: iters left: 4 (101 enodes)
1554042667.006 * * [simplify]: iters left: 3 (207 enodes)
1554042667.053 * * [simplify]: iters left: 2 (498 enodes)
1554042667.226 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042667.227 * * [simplify]: Extracting #1: cost 58 inf + 0
1554042667.228 * * [simplify]: Extracting #2: cost 205 inf + 4
1554042667.230 * * [simplify]: Extracting #3: cost 244 inf + 1075
1554042667.237 * * [simplify]: Extracting #4: cost 137 inf + 20618
1554042667.259 * * [simplify]: Extracting #5: cost 12 inf + 54441
1554042667.283 * * [simplify]: Extracting #6: cost 0 inf + 58827
1554042667.313 * * [simplify]: Extracting #7: cost 0 inf + 58826
1554042667.326 * [simplify]: Simplified to (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 4)
1554042667.327 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (exp (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 4)) (pow k -1/2))))
1554042667.327 * * * * [progress]: [ 3 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (exp (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))) (pow k -1/2))))>
1554042667.327 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))
1554042667.327 * * [simplify]: iters left: 6 (12 enodes)
1554042667.331 * * [simplify]: iters left: 5 (57 enodes)
1554042667.342 * * [simplify]: iters left: 4 (111 enodes)
1554042667.368 * * [simplify]: iters left: 3 (212 enodes)
1554042667.428 * * [simplify]: iters left: 2 (446 enodes)
1554042667.584 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042667.584 * * [simplify]: Extracting #1: cost 34 inf + 0
1554042667.584 * * [simplify]: Extracting #2: cost 143 inf + 4
1554042667.586 * * [simplify]: Extracting #3: cost 200 inf + 396
1554042667.590 * * [simplify]: Extracting #4: cost 133 inf + 9596
1554042667.599 * * [simplify]: Extracting #5: cost 32 inf + 30294
1554042667.607 * * [simplify]: Extracting #6: cost 1 inf + 36989
1554042667.618 * * [simplify]: Extracting #7: cost 0 inf + 37182
1554042667.628 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 4)
1554042667.628 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 4)) (pow k -1/2))))
1554042667.629 * * * * [progress]: [ 4 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (exp (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))) (pow k -1/2))))>
1554042667.629 * * * * [progress]: [ 5 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (* 1 (/ (/ (- 1 k) 2) 2))) (pow k -1/2))))>
1554042667.629 * [simplify]: Simplifying (* n (* 2 PI))
1554042667.629 * * [simplify]: iters left: 4 (5 enodes)
1554042667.633 * * [simplify]: iters left: 3 (19 enodes)
1554042667.640 * * [simplify]: iters left: 2 (27 enodes)
1554042667.645 * * [simplify]: iters left: 1 (32 enodes)
1554042667.649 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042667.649 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042667.649 * * [simplify]: Extracting #2: cost 7 inf + 45
1554042667.649 * * [simplify]: Extracting #3: cost 0 inf + 421
1554042667.649 * [simplify]: Simplified to (* (* PI 2) n)
1554042667.649 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (* (* PI 2) n) (* 1 (/ (/ (- 1 k) 2) 2))) (pow k -1/2))))
1554042667.649 * * * * [progress]: [ 6 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (* 1 (/ (/ (- 1 k) 2) 2))) (pow k -1/2))))>
1554042667.650 * [simplify]: Simplifying (* n (* 2 PI))
1554042667.650 * * [simplify]: iters left: 4 (5 enodes)
1554042667.651 * * [simplify]: iters left: 3 (19 enodes)
1554042667.654 * * [simplify]: iters left: 2 (27 enodes)
1554042667.659 * * [simplify]: iters left: 1 (32 enodes)
1554042667.663 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042667.664 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042667.664 * * [simplify]: Extracting #2: cost 7 inf + 45
1554042667.664 * * [simplify]: Extracting #3: cost 0 inf + 421
1554042667.664 * [simplify]: Simplified to (* (* PI 2) n)
1554042667.664 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (* (* PI 2) n) (* 1 (/ (/ (- 1 k) 2) 2))) (pow k -1/2))))
1554042667.664 * * * * [progress]: [ 7 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (* 1 (/ (/ (- 1 k) 2) 2))) (pow k -1/2))))>
1554042667.664 * [simplify]: Simplifying (* n (* 2 PI))
1554042667.664 * * [simplify]: iters left: 4 (5 enodes)
1554042667.666 * * [simplify]: iters left: 3 (19 enodes)
1554042667.670 * * [simplify]: iters left: 2 (27 enodes)
1554042667.678 * * [simplify]: iters left: 1 (32 enodes)
1554042667.685 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042667.685 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042667.685 * * [simplify]: Extracting #2: cost 7 inf + 45
1554042667.685 * * [simplify]: Extracting #3: cost 0 inf + 421
1554042667.685 * [simplify]: Simplified to (* (* PI 2) n)
1554042667.685 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (* (* PI 2) n) (* 1 (/ (/ (- 1 k) 2) 2))) (pow k -1/2))))
1554042667.685 * * * * [progress]: [ 8 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (/ (pow (* n (* 2 PI)) (/ (/ 1 2) 2)) (pow (* n (* 2 PI)) (/ (/ k 2) 2))) (pow k -1/2))))>
1554042667.686 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ k 2) 2))
1554042667.686 * * [simplify]: iters left: 5 (9 enodes)
1554042667.691 * * [simplify]: iters left: 4 (37 enodes)
1554042667.702 * * [simplify]: iters left: 3 (57 enodes)
1554042667.715 * * [simplify]: iters left: 2 (93 enodes)
1554042667.734 * * [simplify]: iters left: 1 (170 enodes)
1554042667.795 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042667.795 * * [simplify]: Extracting #1: cost 13 inf + 0
1554042667.795 * * [simplify]: Extracting #2: cost 59 inf + 1
1554042667.796 * * [simplify]: Extracting #3: cost 78 inf + 176
1554042667.798 * * [simplify]: Extracting #4: cost 40 inf + 3875
1554042667.802 * * [simplify]: Extracting #5: cost 7 inf + 16988
1554042667.808 * * [simplify]: Extracting #6: cost 0 inf + 20577
1554042667.811 * * [simplify]: Extracting #7: cost 0 inf + 20336
1554042667.815 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ k 4))
1554042667.815 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (/ (pow (* n (* 2 PI)) (/ (/ 1 2) 2)) (pow (* (* PI 2) n) (/ k 4))) (pow k -1/2))))
1554042667.815 * * * * [progress]: [ 9 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (* (cbrt (/ (/ (- 1 k) 2) 2)) (cbrt (/ (/ (- 1 k) 2) 2)))) (cbrt (/ (/ (- 1 k) 2) 2))) (pow k -1/2))))>
1554042667.815 * [simplify]: Simplifying (cbrt (/ (/ (- 1 k) 2) 2))
1554042667.816 * * [simplify]: iters left: 6 (7 enodes)
1554042667.819 * * [simplify]: iters left: 5 (32 enodes)
1554042667.826 * * [simplify]: iters left: 4 (47 enodes)
1554042667.835 * * [simplify]: iters left: 3 (53 enodes)
1554042667.844 * * [simplify]: iters left: 2 (60 enodes)
1554042667.859 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042667.859 * * [simplify]: Extracting #1: cost 3 inf + 0
1554042667.859 * * [simplify]: Extracting #2: cost 11 inf + 0
1554042667.860 * * [simplify]: Extracting #3: cost 17 inf + 3
1554042667.860 * * [simplify]: Extracting #4: cost 14 inf + 129
1554042667.860 * * [simplify]: Extracting #5: cost 3 inf + 794
1554042667.861 * * [simplify]: Extracting #6: cost 0 inf + 1162
1554042667.861 * [simplify]: Simplified to (cbrt (- 1/4 (/ k 4)))
1554042667.861 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (* (cbrt (/ (/ (- 1 k) 2) 2)) (cbrt (/ (/ (- 1 k) 2) 2)))) (cbrt (- 1/4 (/ k 4)))) (pow k -1/2))))
1554042667.862 * * * * [progress]: [ 10 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (sqrt (/ (/ (- 1 k) 2) 2))) (sqrt (/ (/ (- 1 k) 2) 2))) (pow k -1/2))))>
1554042667.862 * [simplify]: Simplifying (sqrt (/ (/ (- 1 k) 2) 2))
1554042667.862 * * [simplify]: iters left: 6 (7 enodes)
1554042667.867 * * [simplify]: iters left: 5 (32 enodes)
1554042667.879 * * [simplify]: iters left: 4 (47 enodes)
1554042667.894 * * [simplify]: iters left: 3 (53 enodes)
1554042667.910 * * [simplify]: iters left: 2 (60 enodes)
1554042667.928 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042667.928 * * [simplify]: Extracting #1: cost 3 inf + 0
1554042667.928 * * [simplify]: Extracting #2: cost 11 inf + 0
1554042667.928 * * [simplify]: Extracting #3: cost 17 inf + 3
1554042667.928 * * [simplify]: Extracting #4: cost 14 inf + 129
1554042667.928 * * [simplify]: Extracting #5: cost 3 inf + 794
1554042667.929 * * [simplify]: Extracting #6: cost 0 inf + 1082
1554042667.930 * [simplify]: Simplified to (sqrt (- 1/4 (/ k 4)))
1554042667.930 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (sqrt (/ (/ (- 1 k) 2) 2))) (sqrt (- 1/4 (/ k 4)))) (pow k -1/2))))
1554042667.930 * * * * [progress]: [ 11 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))) (pow k -1/2))))>
1554042667.930 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))
1554042667.930 * * [simplify]: iters left: 6 (8 enodes)
1554042667.935 * * [simplify]: iters left: 5 (32 enodes)
1554042667.946 * * [simplify]: iters left: 4 (41 enodes)
1554042667.959 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042667.959 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042667.959 * * [simplify]: Extracting #2: cost 8 inf + 0
1554042667.959 * * [simplify]: Extracting #3: cost 9 inf + 163
1554042667.959 * * [simplify]: Extracting #4: cost 13 inf + 164
1554042667.959 * * [simplify]: Extracting #5: cost 10 inf + 249
1554042667.960 * * [simplify]: Extracting #6: cost 3 inf + 986
1554042667.960 * * [simplify]: Extracting #7: cost 0 inf + 1474
1554042667.961 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))
1554042667.961 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))) (pow k -1/2))))
1554042667.961 * * * * [progress]: [ 12 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (sqrt 2))) (/ (cbrt (/ (- 1 k) 2)) (sqrt 2))) (pow k -1/2))))>
1554042667.961 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) (sqrt 2))
1554042667.961 * * [simplify]: iters left: 6 (8 enodes)
1554042667.967 * * [simplify]: iters left: 5 (32 enodes)
1554042667.978 * * [simplify]: iters left: 4 (41 enodes)
1554042667.995 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042667.996 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042667.996 * * [simplify]: Extracting #2: cost 8 inf + 0
1554042667.996 * * [simplify]: Extracting #3: cost 9 inf + 83
1554042667.996 * * [simplify]: Extracting #4: cost 13 inf + 84
1554042667.996 * * [simplify]: Extracting #5: cost 10 inf + 169
1554042667.996 * * [simplify]: Extracting #6: cost 3 inf + 866
1554042667.997 * * [simplify]: Extracting #7: cost 0 inf + 1314
1554042667.997 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) (sqrt 2))
1554042667.998 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (sqrt 2))) (/ (cbrt (/ (- 1 k) 2)) (sqrt 2))) (pow k -1/2))))
1554042667.998 * * * * [progress]: [ 13 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) 1)) (/ (cbrt (/ (- 1 k) 2)) 2)) (pow k -1/2))))>
1554042667.998 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) 2)
1554042667.998 * * [simplify]: iters left: 6 (7 enodes)
1554042668.003 * * [simplify]: iters left: 5 (29 enodes)
1554042668.011 * * [simplify]: iters left: 4 (38 enodes)
1554042668.017 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042668.017 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042668.017 * * [simplify]: Extracting #2: cost 5 inf + 1
1554042668.018 * * [simplify]: Extracting #3: cost 9 inf + 1
1554042668.018 * * [simplify]: Extracting #4: cost 13 inf + 2
1554042668.018 * * [simplify]: Extracting #5: cost 12 inf + 4
1554042668.018 * * [simplify]: Extracting #6: cost 2 inf + 746
1554042668.018 * * [simplify]: Extracting #7: cost 0 inf + 1152
1554042668.018 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) 2)
1554042668.018 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) 1)) (/ (cbrt (/ (- 1 k) 2)) 2)) (pow k -1/2))))
1554042668.018 * * * * [progress]: [ 14 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (/ (- 1 k) 2)) (cbrt 2))) (pow k -1/2))))>
1554042668.019 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) (cbrt 2))
1554042668.019 * * [simplify]: iters left: 6 (8 enodes)
1554042668.022 * * [simplify]: iters left: 5 (32 enodes)
1554042668.027 * * [simplify]: iters left: 4 (41 enodes)
1554042668.034 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042668.034 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042668.034 * * [simplify]: Extracting #2: cost 8 inf + 0
1554042668.034 * * [simplify]: Extracting #3: cost 9 inf + 163
1554042668.034 * * [simplify]: Extracting #4: cost 13 inf + 164
1554042668.034 * * [simplify]: Extracting #5: cost 10 inf + 249
1554042668.034 * * [simplify]: Extracting #6: cost 3 inf + 906
1554042668.035 * * [simplify]: Extracting #7: cost 0 inf + 1314
1554042668.035 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) (cbrt 2))
1554042668.035 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (/ (- 1 k) 2)) (cbrt 2))) (pow k -1/2))))
1554042668.035 * * * * [progress]: [ 15 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) (pow k -1/2))))>
1554042668.035 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))
1554042668.035 * * [simplify]: iters left: 6 (8 enodes)
1554042668.039 * * [simplify]: iters left: 5 (32 enodes)
1554042668.045 * * [simplify]: iters left: 4 (41 enodes)
1554042668.052 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042668.052 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042668.052 * * [simplify]: Extracting #2: cost 8 inf + 0
1554042668.052 * * [simplify]: Extracting #3: cost 9 inf + 83
1554042668.052 * * [simplify]: Extracting #4: cost 13 inf + 84
1554042668.052 * * [simplify]: Extracting #5: cost 10 inf + 169
1554042668.053 * * [simplify]: Extracting #6: cost 3 inf + 786
1554042668.053 * * [simplify]: Extracting #7: cost 0 inf + 1154
1554042668.053 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))
1554042668.053 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) (pow k -1/2))))
1554042668.053 * * * * [progress]: [ 16 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) 1)) (/ (sqrt (/ (- 1 k) 2)) 2)) (pow k -1/2))))>
1554042668.053 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) 2)
1554042668.054 * * [simplify]: iters left: 6 (7 enodes)
1554042668.056 * * [simplify]: iters left: 5 (29 enodes)
1554042668.061 * * [simplify]: iters left: 4 (38 enodes)
1554042668.068 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042668.068 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042668.068 * * [simplify]: Extracting #2: cost 5 inf + 1
1554042668.068 * * [simplify]: Extracting #3: cost 9 inf + 1
1554042668.068 * * [simplify]: Extracting #4: cost 13 inf + 2
1554042668.068 * * [simplify]: Extracting #5: cost 12 inf + 4
1554042668.068 * * [simplify]: Extracting #6: cost 2 inf + 666
1554042668.069 * * [simplify]: Extracting #7: cost 0 inf + 992
1554042668.069 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) 2)
1554042668.069 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) 1)) (/ (sqrt (/ (- 1 k) 2)) 2)) (pow k -1/2))))
1554042668.069 * * * * [progress]: [ 17 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) (cbrt 2)) (cbrt 2))) (pow k -1/2))))>
1554042668.069 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) (cbrt 2))
1554042668.069 * * [simplify]: iters left: 6 (8 enodes)
1554042668.072 * * [simplify]: iters left: 5 (30 enodes)
1554042668.078 * * [simplify]: iters left: 4 (37 enodes)
1554042668.084 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042668.084 * * [simplify]: Extracting #1: cost 6 inf + 0
1554042668.084 * * [simplify]: Extracting #2: cost 12 inf + 0
1554042668.084 * * [simplify]: Extracting #3: cost 11 inf + 405
1554042668.084 * * [simplify]: Extracting #4: cost 10 inf + 407
1554042668.084 * * [simplify]: Extracting #5: cost 4 inf + 1220
1554042668.084 * * [simplify]: Extracting #6: cost 0 inf + 1869
1554042668.085 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (cbrt 2) (cbrt 2)))
1554042668.085 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (pow k -1/2))))
1554042668.085 * * * * [progress]: [ 18 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2))) (pow k -1/2))))>
1554042668.085 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2))
1554042668.085 * * [simplify]: iters left: 6 (9 enodes)
1554042668.091 * * [simplify]: iters left: 5 (33 enodes)
1554042668.097 * * [simplify]: iters left: 4 (43 enodes)
1554042668.105 * * [simplify]: iters left: 3 (45 enodes)
1554042668.112 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042668.112 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042668.112 * * [simplify]: Extracting #2: cost 16 inf + 0
1554042668.112 * * [simplify]: Extracting #3: cost 16 inf + 284
1554042668.112 * * [simplify]: Extracting #4: cost 11 inf + 610
1554042668.113 * * [simplify]: Extracting #5: cost 8 inf + 815
1554042668.113 * * [simplify]: Extracting #6: cost 0 inf + 2517
1554042668.113 * [simplify]: Simplified to (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2))
1554042668.113 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2))) (pow k -1/2))))
1554042668.113 * * * * [progress]: [ 19 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (cbrt (- 1 k)) (cbrt 2)) 2)) (pow k -1/2))))>
1554042668.114 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) 2)
1554042668.114 * * [simplify]: iters left: 6 (8 enodes)
1554042668.116 * * [simplify]: iters left: 5 (30 enodes)
1554042668.121 * * [simplify]: iters left: 4 (40 enodes)
1554042668.127 * * [simplify]: iters left: 3 (42 enodes)
1554042668.134 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042668.134 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042668.134 * * [simplify]: Extracting #2: cost 12 inf + 82
1554042668.134 * * [simplify]: Extracting #3: cost 13 inf + 405
1554042668.135 * * [simplify]: Extracting #4: cost 12 inf + 407
1554042668.135 * * [simplify]: Extracting #5: cost 5 inf + 1383
1554042668.135 * * [simplify]: Extracting #6: cost 0 inf + 2195
1554042668.135 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* 2 (cbrt 2)))
1554042668.135 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) 1)) (/ (cbrt (- 1 k)) (* 2 (cbrt 2)))) (pow k -1/2))))
1554042668.136 * * * * [progress]: [ 20 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2))) (pow k -1/2))))>
1554042668.136 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2))
1554042668.136 * * [simplify]: iters left: 6 (9 enodes)
1554042668.139 * * [simplify]: iters left: 5 (33 enodes)
1554042668.145 * * [simplify]: iters left: 4 (43 enodes)
1554042668.152 * * [simplify]: iters left: 3 (45 enodes)
1554042668.159 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042668.159 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042668.159 * * [simplify]: Extracting #2: cost 16 inf + 0
1554042668.160 * * [simplify]: Extracting #3: cost 16 inf + 284
1554042668.160 * * [simplify]: Extracting #4: cost 11 inf + 610
1554042668.160 * * [simplify]: Extracting #5: cost 8 inf + 815
1554042668.160 * * [simplify]: Extracting #6: cost 0 inf + 2517
1554042668.160 * [simplify]: Simplified to (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2))
1554042668.161 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2))) (pow k -1/2))))
1554042668.161 * * * * [progress]: [ 21 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (sqrt 2))) (/ (/ (cbrt (- 1 k)) (sqrt 2)) (sqrt 2))) (pow k -1/2))))>
1554042668.161 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) (sqrt 2))
1554042668.161 * * [simplify]: iters left: 6 (8 enodes)
1554042668.163 * * [simplify]: iters left: 5 (30 enodes)
1554042668.169 * * [simplify]: iters left: 4 (35 enodes)
1554042668.182 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042668.182 * * [simplify]: Extracting #1: cost 6 inf + 0
1554042668.182 * * [simplify]: Extracting #2: cost 8 inf + 42
1554042668.182 * * [simplify]: Extracting #3: cost 11 inf + 83
1554042668.182 * * [simplify]: Extracting #4: cost 10 inf + 85
1554042668.183 * * [simplify]: Extracting #5: cost 4 inf + 658
1554042668.183 * * [simplify]: Extracting #6: cost 0 inf + 1227
1554042668.183 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2)
1554042668.183 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (sqrt 2))) (/ (cbrt (- 1 k)) 2)) (pow k -1/2))))
1554042668.184 * * * * [progress]: [ 22 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) 1)) (/ (/ (cbrt (- 1 k)) (sqrt 2)) 2)) (pow k -1/2))))>
1554042668.184 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) 2)
1554042668.184 * * [simplify]: iters left: 6 (8 enodes)
1554042668.189 * * [simplify]: iters left: 5 (30 enodes)
1554042668.198 * * [simplify]: iters left: 4 (40 enodes)
1554042668.205 * * [simplify]: iters left: 3 (42 enodes)
1554042668.211 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042668.211 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042668.211 * * [simplify]: Extracting #2: cost 12 inf + 42
1554042668.211 * * [simplify]: Extracting #3: cost 13 inf + 245
1554042668.212 * * [simplify]: Extracting #4: cost 12 inf + 247
1554042668.212 * * [simplify]: Extracting #5: cost 5 inf + 1143
1554042668.212 * * [simplify]: Extracting #6: cost 0 inf + 1875
1554042668.212 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* 2 (sqrt 2)))
1554042668.212 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) 1)) (/ (cbrt (- 1 k)) (* 2 (sqrt 2)))) (pow k -1/2))))
1554042668.213 * * * * [progress]: [ 23 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) 2) (cbrt 2))) (pow k -1/2))))>
1554042668.213 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) (cbrt 2))
1554042668.213 * * [simplify]: iters left: 6 (8 enodes)
1554042668.215 * * [simplify]: iters left: 5 (30 enodes)
1554042668.220 * * [simplify]: iters left: 4 (40 enodes)
1554042668.227 * * [simplify]: iters left: 3 (42 enodes)
1554042668.239 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042668.239 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042668.239 * * [simplify]: Extracting #2: cost 11 inf + 203
1554042668.239 * * [simplify]: Extracting #3: cost 13 inf + 405
1554042668.239 * * [simplify]: Extracting #4: cost 12 inf + 407
1554042668.240 * * [simplify]: Extracting #5: cost 3 inf + 1789
1554042668.240 * * [simplify]: Extracting #6: cost 0 inf + 2195
1554042668.241 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (cbrt 2) 2))
1554042668.241 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (* (cbrt 2) 2))) (pow k -1/2))))
1554042668.241 * * * * [progress]: [ 24 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (sqrt 2))) (/ (/ (cbrt (- 1 k)) 2) (sqrt 2))) (pow k -1/2))))>
1554042668.242 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) (sqrt 2))
1554042668.242 * * [simplify]: iters left: 6 (8 enodes)
1554042668.248 * * [simplify]: iters left: 5 (30 enodes)
1554042668.259 * * [simplify]: iters left: 4 (40 enodes)
1554042668.271 * * [simplify]: iters left: 3 (42 enodes)
1554042668.284 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042668.284 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042668.284 * * [simplify]: Extracting #2: cost 11 inf + 123
1554042668.284 * * [simplify]: Extracting #3: cost 13 inf + 245
1554042668.284 * * [simplify]: Extracting #4: cost 12 inf + 247
1554042668.285 * * [simplify]: Extracting #5: cost 3 inf + 1509
1554042668.285 * * [simplify]: Extracting #6: cost 0 inf + 1875
1554042668.286 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (sqrt 2) 2))
1554042668.286 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (sqrt 2))) (/ (cbrt (- 1 k)) (* (sqrt 2) 2))) (pow k -1/2))))
1554042668.286 * * * * [progress]: [ 25 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (/ (cbrt (- 1 k)) 2) 2)) (pow k -1/2))))>
1554042668.286 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) 2)
1554042668.286 * * [simplify]: iters left: 6 (7 enodes)
1554042668.291 * * [simplify]: iters left: 5 (28 enodes)
1554042668.297 * * [simplify]: iters left: 4 (35 enodes)
1554042668.303 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042668.303 * * [simplify]: Extracting #1: cost 6 inf + 0
1554042668.303 * * [simplify]: Extracting #2: cost 7 inf + 2
1554042668.303 * * [simplify]: Extracting #3: cost 11 inf + 2
1554042668.303 * * [simplify]: Extracting #4: cost 9 inf + 45
1554042668.303 * * [simplify]: Extracting #5: cost 4 inf + 455
1554042668.303 * * [simplify]: Extracting #6: cost 0 inf + 1066
1554042668.303 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 4)
1554042668.304 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (pow k -1/2))))
1554042668.304 * * * * [progress]: [ 26 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2))) (pow k -1/2))))>
1554042668.304 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2))
1554042668.304 * * [simplify]: iters left: 6 (8 enodes)
1554042668.309 * * [simplify]: iters left: 5 (30 enodes)
1554042668.315 * * [simplify]: iters left: 4 (37 enodes)
1554042668.321 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042668.321 * * [simplify]: Extracting #1: cost 6 inf + 0
1554042668.321 * * [simplify]: Extracting #2: cost 12 inf + 0
1554042668.321 * * [simplify]: Extracting #3: cost 11 inf + 405
1554042668.321 * * [simplify]: Extracting #4: cost 10 inf + 407
1554042668.322 * * [simplify]: Extracting #5: cost 4 inf + 1100
1554042668.322 * * [simplify]: Extracting #6: cost 0 inf + 1629
1554042668.322 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))
1554042668.322 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (pow k -1/2))))
1554042668.322 * * * * [progress]: [ 27 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2))) (pow k -1/2))))>
1554042668.323 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2))
1554042668.323 * * [simplify]: iters left: 6 (9 enodes)
1554042668.326 * * [simplify]: iters left: 5 (33 enodes)
1554042668.332 * * [simplify]: iters left: 4 (43 enodes)
1554042668.340 * * [simplify]: iters left: 3 (45 enodes)
1554042668.347 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042668.347 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042668.347 * * [simplify]: Extracting #2: cost 16 inf + 0
1554042668.347 * * [simplify]: Extracting #3: cost 16 inf + 284
1554042668.348 * * [simplify]: Extracting #4: cost 11 inf + 610
1554042668.348 * * [simplify]: Extracting #5: cost 8 inf + 775
1554042668.348 * * [simplify]: Extracting #6: cost 0 inf + 2197
1554042668.348 * [simplify]: Simplified to (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2))
1554042668.348 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2))) (pow k -1/2))))
1554042668.349 * * * * [progress]: [ 28 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (sqrt (- 1 k)) (cbrt 2)) 2)) (pow k -1/2))))>
1554042668.349 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) 2)
1554042668.349 * * [simplify]: iters left: 6 (8 enodes)
1554042668.352 * * [simplify]: iters left: 5 (30 enodes)
1554042668.357 * * [simplify]: iters left: 4 (40 enodes)
1554042668.364 * * [simplify]: iters left: 3 (42 enodes)
1554042668.371 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042668.371 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042668.371 * * [simplify]: Extracting #2: cost 12 inf + 82
1554042668.371 * * [simplify]: Extracting #3: cost 13 inf + 405
1554042668.371 * * [simplify]: Extracting #4: cost 12 inf + 407
1554042668.371 * * [simplify]: Extracting #5: cost 5 inf + 1223
1554042668.371 * * [simplify]: Extracting #6: cost 0 inf + 1875
1554042668.372 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* 2 (cbrt 2)))
1554042668.372 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (sqrt (- 1 k)) (* 2 (cbrt 2)))) (pow k -1/2))))
1554042668.372 * * * * [progress]: [ 29 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2))) (pow k -1/2))))>
1554042668.372 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2))
1554042668.372 * * [simplify]: iters left: 6 (9 enodes)
1554042668.377 * * [simplify]: iters left: 5 (33 enodes)
1554042668.389 * * [simplify]: iters left: 4 (43 enodes)
1554042668.404 * * [simplify]: iters left: 3 (45 enodes)
1554042668.422 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042668.422 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042668.422 * * [simplify]: Extracting #2: cost 16 inf + 0
1554042668.422 * * [simplify]: Extracting #3: cost 16 inf + 284
1554042668.422 * * [simplify]: Extracting #4: cost 11 inf + 610
1554042668.423 * * [simplify]: Extracting #5: cost 8 inf + 775
1554042668.423 * * [simplify]: Extracting #6: cost 0 inf + 2197
1554042668.424 * [simplify]: Simplified to (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2))
1554042668.424 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2))) (pow k -1/2))))
1554042668.424 * * * * [progress]: [ 30 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))) (pow k -1/2))))>
1554042668.425 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))
1554042668.425 * * [simplify]: iters left: 6 (8 enodes)
1554042668.430 * * [simplify]: iters left: 5 (30 enodes)
1554042668.435 * * [simplify]: iters left: 4 (35 enodes)
1554042668.441 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042668.441 * * [simplify]: Extracting #1: cost 6 inf + 0
1554042668.441 * * [simplify]: Extracting #2: cost 8 inf + 42
1554042668.441 * * [simplify]: Extracting #3: cost 11 inf + 83
1554042668.441 * * [simplify]: Extracting #4: cost 10 inf + 85
1554042668.441 * * [simplify]: Extracting #5: cost 4 inf + 538
1554042668.441 * * [simplify]: Extracting #6: cost 0 inf + 987
1554042668.442 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2)
1554042668.442 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))) (/ (sqrt (- 1 k)) 2)) (pow k -1/2))))
1554042668.442 * * * * [progress]: [ 31 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) 1)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) 2)) (pow k -1/2))))>
1554042668.442 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) 2)
1554042668.442 * * [simplify]: iters left: 6 (8 enodes)
1554042668.445 * * [simplify]: iters left: 5 (30 enodes)
1554042668.451 * * [simplify]: iters left: 4 (40 enodes)
1554042668.458 * * [simplify]: iters left: 3 (42 enodes)
1554042668.465 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042668.465 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042668.465 * * [simplify]: Extracting #2: cost 12 inf + 42
1554042668.465 * * [simplify]: Extracting #3: cost 13 inf + 245
1554042668.465 * * [simplify]: Extracting #4: cost 12 inf + 247
1554042668.465 * * [simplify]: Extracting #5: cost 5 inf + 983
1554042668.466 * * [simplify]: Extracting #6: cost 0 inf + 1555
1554042668.466 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* 2 (sqrt 2)))
1554042668.466 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) 1)) (/ (sqrt (- 1 k)) (* 2 (sqrt 2)))) (pow k -1/2))))
1554042668.466 * * * * [progress]: [ 32 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1 k)) 2) (cbrt 2))) (pow k -1/2))))>
1554042668.466 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) (cbrt 2))
1554042668.466 * * [simplify]: iters left: 6 (8 enodes)
1554042668.469 * * [simplify]: iters left: 5 (30 enodes)
1554042668.480 * * [simplify]: iters left: 4 (40 enodes)
1554042668.492 * * [simplify]: iters left: 3 (42 enodes)
1554042668.505 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042668.505 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042668.505 * * [simplify]: Extracting #2: cost 11 inf + 203
1554042668.505 * * [simplify]: Extracting #3: cost 13 inf + 405
1554042668.505 * * [simplify]: Extracting #4: cost 12 inf + 407
1554042668.506 * * [simplify]: Extracting #5: cost 3 inf + 1549
1554042668.506 * * [simplify]: Extracting #6: cost 0 inf + 1875
1554042668.507 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (cbrt 2) 2))
1554042668.507 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (* (cbrt 2) 2))) (pow k -1/2))))
1554042668.507 * * * * [progress]: [ 33 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (sqrt 2))) (/ (/ (sqrt (- 1 k)) 2) (sqrt 2))) (pow k -1/2))))>
1554042668.508 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) (sqrt 2))
1554042668.508 * * [simplify]: iters left: 6 (8 enodes)
1554042668.513 * * [simplify]: iters left: 5 (30 enodes)
1554042668.524 * * [simplify]: iters left: 4 (40 enodes)
1554042668.536 * * [simplify]: iters left: 3 (42 enodes)
1554042668.548 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042668.548 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042668.548 * * [simplify]: Extracting #2: cost 11 inf + 123
1554042668.549 * * [simplify]: Extracting #3: cost 13 inf + 245
1554042668.549 * * [simplify]: Extracting #4: cost 12 inf + 247
1554042668.549 * * [simplify]: Extracting #5: cost 3 inf + 1269
1554042668.550 * * [simplify]: Extracting #6: cost 0 inf + 1555
1554042668.550 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (sqrt 2) 2))
1554042668.550 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (sqrt 2))) (/ (sqrt (- 1 k)) (* (sqrt 2) 2))) (pow k -1/2))))
1554042668.551 * * * * [progress]: [ 34 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) 1)) (/ (/ (sqrt (- 1 k)) 2) 2)) (pow k -1/2))))>
1554042668.551 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) 2)
1554042668.551 * * [simplify]: iters left: 6 (7 enodes)
1554042668.559 * * [simplify]: iters left: 5 (28 enodes)
1554042668.568 * * [simplify]: iters left: 4 (35 enodes)
1554042668.578 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042668.579 * * [simplify]: Extracting #1: cost 6 inf + 0
1554042668.579 * * [simplify]: Extracting #2: cost 7 inf + 2
1554042668.579 * * [simplify]: Extracting #3: cost 11 inf + 2
1554042668.579 * * [simplify]: Extracting #4: cost 9 inf + 45
1554042668.579 * * [simplify]: Extracting #5: cost 4 inf + 375
1554042668.579 * * [simplify]: Extracting #6: cost 0 inf + 826
1554042668.580 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 4)
1554042668.580 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) 1)) (/ (sqrt (- 1 k)) 4)) (pow k -1/2))))
1554042668.580 * * * * [progress]: [ 35 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (cbrt 2))) (pow k -1/2))))>
1554042668.580 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (cbrt 2))
1554042668.580 * * [simplify]: iters left: 6 (7 enodes)
1554042668.585 * * [simplify]: iters left: 5 (30 enodes)
1554042668.596 * * [simplify]: iters left: 4 (49 enodes)
1554042668.609 * * [simplify]: iters left: 3 (59 enodes)
1554042668.618 * * [simplify]: iters left: 2 (64 enodes)
1554042668.627 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042668.627 * * [simplify]: Extracting #1: cost 9 inf + 0
1554042668.627 * * [simplify]: Extracting #2: cost 23 inf + 0
1554042668.627 * * [simplify]: Extracting #3: cost 24 inf + 3
1554042668.627 * * [simplify]: Extracting #4: cost 15 inf + 980
1554042668.628 * * [simplify]: Extracting #5: cost 1 inf + 3007
1554042668.628 * * [simplify]: Extracting #6: cost 0 inf + 3169
1554042668.629 * [simplify]: Simplified to (/ (- 1 k) (* (cbrt 2) (cbrt 2)))
1554042668.629 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) (pow k -1/2))))
1554042668.629 * * * * [progress]: [ 36 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))) (pow k -1/2))))>
1554042668.629 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))
1554042668.629 * * [simplify]: iters left: 6 (8 enodes)
1554042668.632 * * [simplify]: iters left: 5 (33 enodes)
1554042668.638 * * [simplify]: iters left: 4 (55 enodes)
1554042668.648 * * [simplify]: iters left: 3 (72 enodes)
1554042668.660 * * [simplify]: iters left: 2 (84 enodes)
1554042668.677 * * [simplify]: iters left: 1 (88 enodes)
1554042668.688 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042668.689 * * [simplify]: Extracting #1: cost 11 inf + 0
1554042668.689 * * [simplify]: Extracting #2: cost 30 inf + 0
1554042668.689 * * [simplify]: Extracting #3: cost 33 inf + 84
1554042668.689 * * [simplify]: Extracting #4: cost 12 inf + 2402
1554042668.690 * * [simplify]: Extracting #5: cost 0 inf + 4469
1554042668.691 * [simplify]: Simplified to (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))
1554042668.691 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))) (pow k -1/2))))
1554042668.691 * * * * [progress]: [ 37 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) (cbrt 2)) 2)) (pow k -1/2))))>
1554042668.691 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) 2)
1554042668.691 * * [simplify]: iters left: 6 (7 enodes)
1554042668.694 * * [simplify]: iters left: 5 (30 enodes)
1554042668.699 * * [simplify]: iters left: 4 (52 enodes)
1554042668.715 * * [simplify]: iters left: 3 (70 enodes)
1554042668.735 * * [simplify]: iters left: 2 (81 enodes)
1554042668.757 * * [simplify]: iters left: 1 (84 enodes)
1554042668.779 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042668.779 * * [simplify]: Extracting #1: cost 11 inf + 0
1554042668.779 * * [simplify]: Extracting #2: cost 25 inf + 203
1554042668.779 * * [simplify]: Extracting #3: cost 25 inf + 530
1554042668.780 * * [simplify]: Extracting #4: cost 4 inf + 2936
1554042668.782 * * [simplify]: Extracting #5: cost 0 inf + 3504
1554042668.783 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (cbrt 2))
1554042668.783 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) 2) (cbrt 2))) (pow k -1/2))))
1554042668.783 * * * * [progress]: [ 38 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))) (pow k -1/2))))>
1554042668.783 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))
1554042668.783 * * [simplify]: iters left: 6 (8 enodes)
1554042668.789 * * [simplify]: iters left: 5 (33 enodes)
1554042668.805 * * [simplify]: iters left: 4 (55 enodes)
1554042668.825 * * [simplify]: iters left: 3 (72 enodes)
1554042668.846 * * [simplify]: iters left: 2 (84 enodes)
1554042668.870 * * [simplify]: iters left: 1 (88 enodes)
1554042668.894 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042668.894 * * [simplify]: Extracting #1: cost 11 inf + 0
1554042668.894 * * [simplify]: Extracting #2: cost 30 inf + 0
1554042668.894 * * [simplify]: Extracting #3: cost 33 inf + 44
1554042668.894 * * [simplify]: Extracting #4: cost 12 inf + 2362
1554042668.895 * * [simplify]: Extracting #5: cost 0 inf + 4469
1554042668.896 * [simplify]: Simplified to (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))
1554042668.896 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))) (pow k -1/2))))
1554042668.896 * * * * [progress]: [ 39 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (sqrt 2))) (pow k -1/2))))>
1554042668.896 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (sqrt 2))
1554042668.896 * * [simplify]: iters left: 6 (7 enodes)
1554042668.898 * * [simplify]: iters left: 5 (30 enodes)
1554042668.904 * * [simplify]: iters left: 4 (48 enodes)
1554042668.912 * * [simplify]: iters left: 3 (56 enodes)
1554042668.920 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042668.920 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042668.920 * * [simplify]: Extracting #2: cost 15 inf + 43
1554042668.920 * * [simplify]: Extracting #3: cost 16 inf + 86
1554042668.920 * * [simplify]: Extracting #4: cost 5 inf + 911
1554042668.921 * * [simplify]: Extracting #5: cost 1 inf + 1198
1554042668.921 * * [simplify]: Extracting #6: cost 0 inf + 1320
1554042668.922 * [simplify]: Simplified to (/ (- 1 k) 2)
1554042668.922 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (- 1 k) 2)) (pow k -1/2))))
1554042668.922 * * * * [progress]: [ 40 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) (sqrt 2)) 2)) (pow k -1/2))))>
1554042668.922 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) 2)
1554042668.922 * * [simplify]: iters left: 6 (7 enodes)
1554042668.927 * * [simplify]: iters left: 5 (30 enodes)
1554042668.942 * * [simplify]: iters left: 4 (52 enodes)
1554042668.959 * * [simplify]: iters left: 3 (70 enodes)
1554042668.979 * * [simplify]: iters left: 2 (81 enodes)
1554042669.001 * * [simplify]: iters left: 1 (84 enodes)
1554042669.023 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042669.023 * * [simplify]: Extracting #1: cost 11 inf + 0
1554042669.023 * * [simplify]: Extracting #2: cost 25 inf + 123
1554042669.023 * * [simplify]: Extracting #3: cost 25 inf + 330
1554042669.024 * * [simplify]: Extracting #4: cost 4 inf + 2256
1554042669.026 * * [simplify]: Extracting #5: cost 0 inf + 2704
1554042669.027 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (sqrt 2))
1554042669.027 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) 2) (sqrt 2))) (pow k -1/2))))
1554042669.028 * * * * [progress]: [ 41 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) 2) (cbrt 2))) (pow k -1/2))))>
1554042669.028 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2))
1554042669.028 * * [simplify]: iters left: 6 (7 enodes)
1554042669.033 * * [simplify]: iters left: 5 (31 enodes)
1554042669.044 * * [simplify]: iters left: 4 (51 enodes)
1554042669.061 * * [simplify]: iters left: 3 (64 enodes)
1554042669.080 * * [simplify]: iters left: 2 (77 enodes)
1554042669.106 * * [simplify]: iters left: 1 (84 enodes)
1554042669.129 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042669.129 * * [simplify]: Extracting #1: cost 11 inf + 0
1554042669.130 * * [simplify]: Extracting #2: cost 26 inf + 82
1554042669.130 * * [simplify]: Extracting #3: cost 24 inf + 692
1554042669.131 * * [simplify]: Extracting #4: cost 3 inf + 3057
1554042669.132 * * [simplify]: Extracting #5: cost 0 inf + 3504
1554042669.133 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2)))
1554042669.133 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2)))) (pow k -1/2))))
1554042669.133 * * * * [progress]: [ 42 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) (/ (/ (- 1 k) 2) (sqrt 2))) (pow k -1/2))))>
1554042669.134 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2))
1554042669.134 * * [simplify]: iters left: 6 (7 enodes)
1554042669.139 * * [simplify]: iters left: 5 (31 enodes)
1554042669.150 * * [simplify]: iters left: 4 (51 enodes)
1554042669.164 * * [simplify]: iters left: 3 (64 enodes)
1554042669.174 * * [simplify]: iters left: 2 (77 enodes)
1554042669.188 * * [simplify]: iters left: 1 (84 enodes)
1554042669.208 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042669.208 * * [simplify]: Extracting #1: cost 11 inf + 0
1554042669.208 * * [simplify]: Extracting #2: cost 26 inf + 42
1554042669.208 * * [simplify]: Extracting #3: cost 24 inf + 452
1554042669.209 * * [simplify]: Extracting #4: cost 3 inf + 2337
1554042669.209 * * [simplify]: Extracting #5: cost 0 inf + 2704
1554042669.210 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2)))
1554042669.210 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2)))) (pow k -1/2))))
1554042669.210 * * * * [progress]: [ 43 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042669.210 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2)
1554042669.210 * * [simplify]: iters left: 6 (6 enodes)
1554042669.213 * * [simplify]: iters left: 5 (29 enodes)
1554042669.218 * * [simplify]: iters left: 4 (44 enodes)
1554042669.227 * * [simplify]: iters left: 3 (50 enodes)
1554042669.235 * * [simplify]: iters left: 2 (57 enodes)
1554042669.244 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042669.244 * * [simplify]: Extracting #1: cost 9 inf + 0
1554042669.244 * * [simplify]: Extracting #2: cost 15 inf + 3
1554042669.244 * * [simplify]: Extracting #3: cost 11 inf + 131
1554042669.244 * * [simplify]: Extracting #4: cost 2 inf + 711
1554042669.244 * * [simplify]: Extracting #5: cost 0 inf + 836
1554042669.245 * [simplify]: Simplified to (- 1/4 (/ k 4))
1554042669.245 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) (- 1/4 (/ k 4))) (pow k -1/2))))
1554042669.245 * * * * [progress]: [ 44 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (cbrt 2))) (pow k -1/2))))>
1554042669.245 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (cbrt 2))
1554042669.245 * * [simplify]: iters left: 6 (9 enodes)
1554042669.249 * * [simplify]: iters left: 5 (36 enodes)
1554042669.255 * * [simplify]: iters left: 4 (58 enodes)
1554042669.271 * * [simplify]: iters left: 3 (71 enodes)
1554042669.291 * * [simplify]: iters left: 2 (79 enodes)
1554042669.311 * * [simplify]: iters left: 1 (80 enodes)
1554042669.332 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042669.332 * * [simplify]: Extracting #1: cost 9 inf + 0
1554042669.332 * * [simplify]: Extracting #2: cost 24 inf + 0
1554042669.332 * * [simplify]: Extracting #3: cost 29 inf + 2
1554042669.333 * * [simplify]: Extracting #4: cost 10 inf + 2233
1554042669.334 * * [simplify]: Extracting #5: cost 1 inf + 4013
1554042669.336 * * [simplify]: Extracting #6: cost 0 inf + 4135
1554042669.337 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))
1554042669.337 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (pow k -1/2))))
1554042669.338 * * * * [progress]: [ 45 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (sqrt 2))) (pow k -1/2))))>
1554042669.338 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (sqrt 2))
1554042669.338 * * [simplify]: iters left: 6 (10 enodes)
1554042669.345 * * [simplify]: iters left: 5 (39 enodes)
1554042669.363 * * [simplify]: iters left: 4 (64 enodes)
1554042669.383 * * [simplify]: iters left: 3 (86 enodes)
1554042669.407 * * [simplify]: iters left: 2 (99 enodes)
1554042669.433 * * [simplify]: iters left: 1 (104 enodes)
1554042669.460 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042669.461 * * [simplify]: Extracting #1: cost 11 inf + 0
1554042669.461 * * [simplify]: Extracting #2: cost 31 inf + 0
1554042669.461 * * [simplify]: Extracting #3: cost 39 inf + 2
1554042669.461 * * [simplify]: Extracting #4: cost 22 inf + 1871
1554042669.463 * * [simplify]: Extracting #5: cost 4 inf + 4865
1554042669.465 * * [simplify]: Extracting #6: cost 0 inf + 5675
1554042669.467 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2)))
1554042669.467 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2)))) (pow k -1/2))))
1554042669.467 * * * * [progress]: [ 46 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2)) (pow k -1/2))))>
1554042669.468 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2)
1554042669.468 * * [simplify]: iters left: 6 (9 enodes)
1554042669.473 * * [simplify]: iters left: 5 (36 enodes)
1554042669.486 * * [simplify]: iters left: 4 (61 enodes)
1554042669.498 * * [simplify]: iters left: 3 (84 enodes)
1554042669.513 * * [simplify]: iters left: 2 (96 enodes)
1554042669.535 * * [simplify]: iters left: 1 (100 enodes)
1554042669.560 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042669.560 * * [simplify]: Extracting #1: cost 11 inf + 0
1554042669.560 * * [simplify]: Extracting #2: cost 27 inf + 82
1554042669.561 * * [simplify]: Extracting #3: cost 29 inf + 651
1554042669.561 * * [simplify]: Extracting #4: cost 12 inf + 2763
1554042669.563 * * [simplify]: Extracting #5: cost 1 inf + 4587
1554042669.564 * * [simplify]: Extracting #6: cost 0 inf + 4710
1554042669.566 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (cbrt 2)))
1554042669.566 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (- 1 (sqrt k)) (* 2 (cbrt 2)))) (pow k -1/2))))
1554042669.567 * * * * [progress]: [ 47 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (cbrt 2))) (pow k -1/2))))>
1554042669.567 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (cbrt 2))
1554042669.567 * * [simplify]: iters left: 6 (10 enodes)
1554042669.574 * * [simplify]: iters left: 5 (39 enodes)
1554042669.587 * * [simplify]: iters left: 4 (64 enodes)
1554042669.604 * * [simplify]: iters left: 3 (86 enodes)
1554042669.617 * * [simplify]: iters left: 2 (99 enodes)
1554042669.634 * * [simplify]: iters left: 1 (104 enodes)
1554042669.649 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042669.649 * * [simplify]: Extracting #1: cost 11 inf + 0
1554042669.649 * * [simplify]: Extracting #2: cost 31 inf + 0
1554042669.650 * * [simplify]: Extracting #3: cost 39 inf + 2
1554042669.650 * * [simplify]: Extracting #4: cost 22 inf + 1831
1554042669.652 * * [simplify]: Extracting #5: cost 4 inf + 4785
1554042669.654 * * [simplify]: Extracting #6: cost 0 inf + 5595
1554042669.656 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2)))
1554042669.657 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2)))) (pow k -1/2))))
1554042669.657 * * * * [progress]: [ 48 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))) (pow k -1/2))))>
1554042669.657 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))
1554042669.657 * * [simplify]: iters left: 6 (9 enodes)
1554042669.663 * * [simplify]: iters left: 5 (36 enodes)
1554042669.676 * * [simplify]: iters left: 4 (57 enodes)
1554042669.688 * * [simplify]: iters left: 3 (73 enodes)
1554042669.698 * * [simplify]: iters left: 2 (80 enodes)
1554042669.709 * * [simplify]: iters left: 1 (81 enodes)
1554042669.719 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042669.719 * * [simplify]: Extracting #1: cost 9 inf + 0
1554042669.719 * * [simplify]: Extracting #2: cost 18 inf + 43
1554042669.719 * * [simplify]: Extracting #3: cost 23 inf + 85
1554042669.719 * * [simplify]: Extracting #4: cost 9 inf + 1271
1554042669.720 * * [simplify]: Extracting #5: cost 0 inf + 2370
1554042669.720 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2)
1554042669.720 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (- 1 (sqrt k)) 2)) (pow k -1/2))))
1554042669.721 * * * * [progress]: [ 49 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) 1)) (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2)) (pow k -1/2))))>
1554042669.721 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2)
1554042669.721 * * [simplify]: iters left: 6 (9 enodes)
1554042669.724 * * [simplify]: iters left: 5 (36 enodes)
1554042669.739 * * [simplify]: iters left: 4 (61 enodes)
1554042669.758 * * [simplify]: iters left: 3 (84 enodes)
1554042669.782 * * [simplify]: iters left: 2 (96 enodes)
1554042669.808 * * [simplify]: iters left: 1 (100 enodes)
1554042669.835 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042669.835 * * [simplify]: Extracting #1: cost 11 inf + 0
1554042669.836 * * [simplify]: Extracting #2: cost 27 inf + 42
1554042669.836 * * [simplify]: Extracting #3: cost 29 inf + 411
1554042669.837 * * [simplify]: Extracting #4: cost 12 inf + 2163
1554042669.837 * * [simplify]: Extracting #5: cost 1 inf + 3707
1554042669.838 * * [simplify]: Extracting #6: cost 0 inf + 3830
1554042669.839 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (sqrt 2)))
1554042669.839 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) 1)) (/ (- 1 (sqrt k)) (* 2 (sqrt 2)))) (pow k -1/2))))
1554042669.839 * * * * [progress]: [ 50 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (- (sqrt 1) (sqrt k)) 2) (cbrt 2))) (pow k -1/2))))>
1554042669.840 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) (cbrt 2))
1554042669.840 * * [simplify]: iters left: 6 (9 enodes)
1554042669.843 * * [simplify]: iters left: 5 (36 enodes)
1554042669.851 * * [simplify]: iters left: 4 (62 enodes)
1554042669.861 * * [simplify]: iters left: 3 (78 enodes)
1554042669.883 * * [simplify]: iters left: 2 (90 enodes)
1554042669.908 * * [simplify]: iters left: 1 (94 enodes)
1554042669.933 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042669.933 * * [simplify]: Extracting #1: cost 11 inf + 0
1554042669.933 * * [simplify]: Extracting #2: cost 27 inf + 1
1554042669.933 * * [simplify]: Extracting #3: cost 29 inf + 409
1554042669.934 * * [simplify]: Extracting #4: cost 12 inf + 2359
1554042669.935 * * [simplify]: Extracting #5: cost 2 inf + 4022
1554042669.937 * * [simplify]: Extracting #6: cost 0 inf + 4466
1554042669.938 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) 2))
1554042669.939 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) 2))) (pow k -1/2))))
1554042669.939 * * * * [progress]: [ 51 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (sqrt 2))) (/ (/ (- (sqrt 1) (sqrt k)) 2) (sqrt 2))) (pow k -1/2))))>
1554042669.939 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) (sqrt 2))
1554042669.939 * * [simplify]: iters left: 6 (9 enodes)
1554042669.946 * * [simplify]: iters left: 5 (36 enodes)
1554042669.957 * * [simplify]: iters left: 4 (62 enodes)
1554042669.967 * * [simplify]: iters left: 3 (78 enodes)
1554042669.979 * * [simplify]: iters left: 2 (90 enodes)
1554042670.000 * * [simplify]: iters left: 1 (94 enodes)
1554042670.023 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042670.023 * * [simplify]: Extracting #1: cost 11 inf + 0
1554042670.023 * * [simplify]: Extracting #2: cost 27 inf + 1
1554042670.023 * * [simplify]: Extracting #3: cost 29 inf + 249
1554042670.024 * * [simplify]: Extracting #4: cost 12 inf + 1879
1554042670.024 * * [simplify]: Extracting #5: cost 2 inf + 3302
1554042670.025 * * [simplify]: Extracting #6: cost 0 inf + 3666
1554042670.026 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) 2))
1554042670.026 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (sqrt 2))) (/ (- 1 (sqrt k)) (* (sqrt 2) 2))) (pow k -1/2))))
1554042670.026 * * * * [progress]: [ 52 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) 1)) (/ (/ (- (sqrt 1) (sqrt k)) 2) 2)) (pow k -1/2))))>
1554042670.026 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) 2)
1554042670.026 * * [simplify]: iters left: 6 (8 enodes)
1554042670.030 * * [simplify]: iters left: 5 (34 enodes)
1554042670.037 * * [simplify]: iters left: 4 (58 enodes)
1554042670.046 * * [simplify]: iters left: 3 (65 enodes)
1554042670.055 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042670.055 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042670.055 * * [simplify]: Extracting #2: cost 14 inf + 3
1554042670.055 * * [simplify]: Extracting #3: cost 17 inf + 5
1554042670.055 * * [simplify]: Extracting #4: cost 12 inf + 292
1554042670.056 * * [simplify]: Extracting #5: cost 1 inf + 1355
1554042670.056 * * [simplify]: Extracting #6: cost 0 inf + 1478
1554042670.056 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 4)
1554042670.056 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) 1)) (/ (- 1 (sqrt k)) 4)) (pow k -1/2))))
1554042670.056 * * * * [progress]: [ 53 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 (sqrt k)) (cbrt 2)) (cbrt 2))) (pow k -1/2))))>
1554042670.057 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) (cbrt 2))
1554042670.057 * * [simplify]: iters left: 6 (8 enodes)
1554042670.059 * * [simplify]: iters left: 5 (33 enodes)
1554042670.066 * * [simplify]: iters left: 4 (52 enodes)
1554042670.075 * * [simplify]: iters left: 3 (62 enodes)
1554042670.084 * * [simplify]: iters left: 2 (67 enodes)
1554042670.094 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042670.094 * * [simplify]: Extracting #1: cost 9 inf + 0
1554042670.094 * * [simplify]: Extracting #2: cost 23 inf + 0
1554042670.094 * * [simplify]: Extracting #3: cost 24 inf + 285
1554042670.094 * * [simplify]: Extracting #4: cost 18 inf + 975
1554042670.094 * * [simplify]: Extracting #5: cost 7 inf + 2516
1554042670.095 * * [simplify]: Extracting #6: cost 0 inf + 3891
1554042670.096 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))
1554042670.096 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (pow k -1/2))))
1554042670.096 * * * * [progress]: [ 54 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 (sqrt k)) (cbrt 2)) (sqrt 2))) (pow k -1/2))))>
1554042670.096 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) (sqrt 2))
1554042670.096 * * [simplify]: iters left: 6 (9 enodes)
1554042670.101 * * [simplify]: iters left: 5 (36 enodes)
1554042670.118 * * [simplify]: iters left: 4 (58 enodes)
1554042670.137 * * [simplify]: iters left: 3 (75 enodes)
1554042670.160 * * [simplify]: iters left: 2 (87 enodes)
1554042670.186 * * [simplify]: iters left: 1 (91 enodes)
1554042670.208 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042670.208 * * [simplify]: Extracting #1: cost 11 inf + 0
1554042670.208 * * [simplify]: Extracting #2: cost 30 inf + 0
1554042670.208 * * [simplify]: Extracting #3: cost 36 inf + 83
1554042670.208 * * [simplify]: Extracting #4: cost 30 inf + 451
1554042670.209 * * [simplify]: Extracting #5: cost 10 inf + 3649
1554042670.210 * * [simplify]: Extracting #6: cost 0 inf + 5431
1554042670.210 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2)))
1554042670.211 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2)))) (pow k -1/2))))
1554042670.211 * * * * [progress]: [ 55 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 (sqrt k)) (cbrt 2)) 2)) (pow k -1/2))))>
1554042670.211 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) 2)
1554042670.211 * * [simplify]: iters left: 6 (8 enodes)
1554042670.214 * * [simplify]: iters left: 5 (33 enodes)
1554042670.220 * * [simplify]: iters left: 4 (55 enodes)
1554042670.230 * * [simplify]: iters left: 3 (73 enodes)
1554042670.246 * * [simplify]: iters left: 2 (84 enodes)
1554042670.270 * * [simplify]: iters left: 1 (87 enodes)
1554042670.293 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042670.293 * * [simplify]: Extracting #1: cost 11 inf + 0
1554042670.293 * * [simplify]: Extracting #2: cost 25 inf + 203
1554042670.293 * * [simplify]: Extracting #3: cost 29 inf + 407
1554042670.294 * * [simplify]: Extracting #4: cost 24 inf + 896
1554042670.294 * * [simplify]: Extracting #5: cost 9 inf + 2805
1554042670.296 * * [simplify]: Extracting #6: cost 0 inf + 4466
1554042670.297 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (cbrt 2)))
1554042670.297 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (- 1 (sqrt k)) (* 2 (cbrt 2)))) (pow k -1/2))))
1554042670.297 * * * * [progress]: [ 56 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 (sqrt k)) (sqrt 2)) (cbrt 2))) (pow k -1/2))))>
1554042670.298 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) (cbrt 2))
1554042670.298 * * [simplify]: iters left: 6 (9 enodes)
1554042670.304 * * [simplify]: iters left: 5 (36 enodes)
1554042670.317 * * [simplify]: iters left: 4 (58 enodes)
1554042670.338 * * [simplify]: iters left: 3 (75 enodes)
1554042670.362 * * [simplify]: iters left: 2 (87 enodes)
1554042670.379 * * [simplify]: iters left: 1 (91 enodes)
1554042670.396 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042670.396 * * [simplify]: Extracting #1: cost 11 inf + 0
1554042670.396 * * [simplify]: Extracting #2: cost 30 inf + 0
1554042670.396 * * [simplify]: Extracting #3: cost 36 inf + 43
1554042670.396 * * [simplify]: Extracting #4: cost 30 inf + 451
1554042670.397 * * [simplify]: Extracting #5: cost 10 inf + 3769
1554042670.398 * * [simplify]: Extracting #6: cost 0 inf + 5431
1554042670.400 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2)))
1554042670.400 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2)))) (pow k -1/2))))
1554042670.401 * * * * [progress]: [ 57 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (/ (- 1 (sqrt k)) (sqrt 2)) (sqrt 2))) (pow k -1/2))))>
1554042670.401 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) (sqrt 2))
1554042670.401 * * [simplify]: iters left: 6 (8 enodes)
1554042670.406 * * [simplify]: iters left: 5 (33 enodes)
1554042670.418 * * [simplify]: iters left: 4 (51 enodes)
1554042670.434 * * [simplify]: iters left: 3 (59 enodes)
1554042670.451 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042670.451 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042670.451 * * [simplify]: Extracting #2: cost 15 inf + 43
1554042670.451 * * [simplify]: Extracting #3: cost 19 inf + 85
1554042670.451 * * [simplify]: Extracting #4: cost 16 inf + 250
1554042670.452 * * [simplify]: Extracting #5: cost 5 inf + 1311
1554042670.452 * * [simplify]: Extracting #6: cost 0 inf + 1962
1554042670.453 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2)
1554042670.453 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (- 1 (sqrt k)) 2)) (pow k -1/2))))
1554042670.454 * * * * [progress]: [ 58 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) 1)) (/ (/ (- 1 (sqrt k)) (sqrt 2)) 2)) (pow k -1/2))))>
1554042670.454 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) 2)
1554042670.454 * * [simplify]: iters left: 6 (8 enodes)
1554042670.459 * * [simplify]: iters left: 5 (33 enodes)
1554042670.471 * * [simplify]: iters left: 4 (55 enodes)
1554042670.481 * * [simplify]: iters left: 3 (73 enodes)
1554042670.492 * * [simplify]: iters left: 2 (84 enodes)
1554042670.504 * * [simplify]: iters left: 1 (87 enodes)
1554042670.905 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042670.905 * * [simplify]: Extracting #1: cost 11 inf + 0
1554042670.905 * * [simplify]: Extracting #2: cost 25 inf + 123
1554042670.905 * * [simplify]: Extracting #3: cost 29 inf + 247
1554042670.906 * * [simplify]: Extracting #4: cost 24 inf + 576
1554042670.906 * * [simplify]: Extracting #5: cost 9 inf + 2245
1554042670.908 * * [simplify]: Extracting #6: cost 0 inf + 3666
1554042670.909 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (sqrt 2)))
1554042670.909 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) 1)) (/ (- 1 (sqrt k)) (* 2 (sqrt 2)))) (pow k -1/2))))
1554042670.909 * * * * [progress]: [ 59 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 (sqrt k)) 2) (cbrt 2))) (pow k -1/2))))>
1554042670.910 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) (cbrt 2))
1554042670.910 * * [simplify]: iters left: 6 (8 enodes)
1554042670.915 * * [simplify]: iters left: 5 (34 enodes)
1554042670.927 * * [simplify]: iters left: 4 (54 enodes)
1554042670.937 * * [simplify]: iters left: 3 (67 enodes)
1554042670.947 * * [simplify]: iters left: 2 (80 enodes)
1554042670.958 * * [simplify]: iters left: 1 (87 enodes)
1554042670.970 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042670.970 * * [simplify]: Extracting #1: cost 11 inf + 0
1554042670.971 * * [simplify]: Extracting #2: cost 25 inf + 203
1554042670.971 * * [simplify]: Extracting #3: cost 26 inf + 773
1554042670.971 * * [simplify]: Extracting #4: cost 24 inf + 896
1554042670.971 * * [simplify]: Extracting #5: cost 8 inf + 3127
1554042670.972 * * [simplify]: Extracting #6: cost 0 inf + 4466
1554042670.973 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) 2))
1554042670.973 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) 2))) (pow k -1/2))))
1554042670.973 * * * * [progress]: [ 60 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (sqrt 2))) (/ (/ (- 1 (sqrt k)) 2) (sqrt 2))) (pow k -1/2))))>
1554042670.973 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) (sqrt 2))
1554042670.974 * * [simplify]: iters left: 6 (8 enodes)
1554042670.979 * * [simplify]: iters left: 5 (34 enodes)
1554042670.991 * * [simplify]: iters left: 4 (54 enodes)
1554042671.009 * * [simplify]: iters left: 3 (67 enodes)
1554042671.019 * * [simplify]: iters left: 2 (80 enodes)
1554042671.031 * * [simplify]: iters left: 1 (87 enodes)
1554042671.043 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042671.043 * * [simplify]: Extracting #1: cost 11 inf + 0
1554042671.043 * * [simplify]: Extracting #2: cost 25 inf + 123
1554042671.043 * * [simplify]: Extracting #3: cost 26 inf + 493
1554042671.043 * * [simplify]: Extracting #4: cost 24 inf + 576
1554042671.044 * * [simplify]: Extracting #5: cost 8 inf + 2527
1554042671.045 * * [simplify]: Extracting #6: cost 0 inf + 3666
1554042671.045 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) 2))
1554042671.045 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (sqrt 2))) (/ (- 1 (sqrt k)) (* (sqrt 2) 2))) (pow k -1/2))))
1554042671.046 * * * * [progress]: [ 61 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) (pow k -1/2))))>
1554042671.046 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) 2)
1554042671.046 * * [simplify]: iters left: 6 (7 enodes)
1554042671.049 * * [simplify]: iters left: 5 (32 enodes)
1554042671.055 * * [simplify]: iters left: 4 (50 enodes)
1554042671.066 * * [simplify]: iters left: 3 (54 enodes)
1554042671.078 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042671.078 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042671.079 * * [simplify]: Extracting #2: cost 13 inf + 3
1554042671.079 * * [simplify]: Extracting #3: cost 15 inf + 5
1554042671.079 * * [simplify]: Extracting #4: cost 14 inf + 6
1554042671.079 * * [simplify]: Extracting #5: cost 4 inf + 825
1554042671.079 * * [simplify]: Extracting #6: cost 0 inf + 1234
1554042671.080 * [simplify]: Simplified to (- 1/4 (/ (sqrt k) 4))
1554042671.080 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 1)) (- 1/4 (/ (sqrt k) 4))) (pow k -1/2))))
1554042671.080 * * * * [progress]: [ 62 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (cbrt 2))) (pow k -1/2))))>
1554042671.080 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (cbrt 2))
1554042671.080 * * [simplify]: iters left: 6 (7 enodes)
1554042671.085 * * [simplify]: iters left: 5 (30 enodes)
1554042671.092 * * [simplify]: iters left: 4 (49 enodes)
1554042671.100 * * [simplify]: iters left: 3 (59 enodes)
1554042671.111 * * [simplify]: iters left: 2 (64 enodes)
1554042671.120 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042671.120 * * [simplify]: Extracting #1: cost 9 inf + 0
1554042671.120 * * [simplify]: Extracting #2: cost 23 inf + 0
1554042671.120 * * [simplify]: Extracting #3: cost 24 inf + 3
1554042671.120 * * [simplify]: Extracting #4: cost 15 inf + 980
1554042671.121 * * [simplify]: Extracting #5: cost 1 inf + 3007
1554042671.122 * * [simplify]: Extracting #6: cost 0 inf + 3169
1554042671.123 * [simplify]: Simplified to (/ (- 1 k) (* (cbrt 2) (cbrt 2)))
1554042671.123 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) (pow k -1/2))))
1554042671.123 * * * * [progress]: [ 63 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))) (pow k -1/2))))>
1554042671.123 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))
1554042671.124 * * [simplify]: iters left: 6 (8 enodes)
1554042671.129 * * [simplify]: iters left: 5 (33 enodes)
1554042671.140 * * [simplify]: iters left: 4 (55 enodes)
1554042671.156 * * [simplify]: iters left: 3 (72 enodes)
1554042671.167 * * [simplify]: iters left: 2 (84 enodes)
1554042671.179 * * [simplify]: iters left: 1 (88 enodes)
1554042671.196 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042671.196 * * [simplify]: Extracting #1: cost 11 inf + 0
1554042671.196 * * [simplify]: Extracting #2: cost 30 inf + 0
1554042671.196 * * [simplify]: Extracting #3: cost 33 inf + 84
1554042671.197 * * [simplify]: Extracting #4: cost 12 inf + 2402
1554042671.198 * * [simplify]: Extracting #5: cost 0 inf + 4469
1554042671.200 * [simplify]: Simplified to (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))
1554042671.200 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))) (pow k -1/2))))
1554042671.200 * * * * [progress]: [ 64 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) (cbrt 2)) 2)) (pow k -1/2))))>
1554042671.201 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) 2)
1554042671.201 * * [simplify]: iters left: 6 (7 enodes)
1554042671.206 * * [simplify]: iters left: 5 (30 enodes)
1554042671.219 * * [simplify]: iters left: 4 (52 enodes)
1554042671.236 * * [simplify]: iters left: 3 (70 enodes)
1554042671.256 * * [simplify]: iters left: 2 (81 enodes)
1554042671.268 * * [simplify]: iters left: 1 (84 enodes)
1554042671.279 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042671.279 * * [simplify]: Extracting #1: cost 11 inf + 0
1554042671.279 * * [simplify]: Extracting #2: cost 25 inf + 203
1554042671.280 * * [simplify]: Extracting #3: cost 25 inf + 530
1554042671.280 * * [simplify]: Extracting #4: cost 4 inf + 2936
1554042671.281 * * [simplify]: Extracting #5: cost 0 inf + 3504
1554042671.281 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (cbrt 2))
1554042671.281 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) 2) (cbrt 2))) (pow k -1/2))))
1554042671.281 * * * * [progress]: [ 65 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))) (pow k -1/2))))>
1554042671.282 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))
1554042671.282 * * [simplify]: iters left: 6 (8 enodes)
1554042671.284 * * [simplify]: iters left: 5 (33 enodes)
1554042671.291 * * [simplify]: iters left: 4 (55 enodes)
1554042671.302 * * [simplify]: iters left: 3 (72 enodes)
1554042671.323 * * [simplify]: iters left: 2 (84 enodes)
1554042671.338 * * [simplify]: iters left: 1 (88 enodes)
1554042671.351 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042671.351 * * [simplify]: Extracting #1: cost 11 inf + 0
1554042671.351 * * [simplify]: Extracting #2: cost 30 inf + 0
1554042671.351 * * [simplify]: Extracting #3: cost 33 inf + 44
1554042671.351 * * [simplify]: Extracting #4: cost 12 inf + 2362
1554042671.352 * * [simplify]: Extracting #5: cost 0 inf + 4469
1554042671.353 * [simplify]: Simplified to (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))
1554042671.353 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))) (pow k -1/2))))
1554042671.353 * * * * [progress]: [ 66 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (sqrt 2))) (pow k -1/2))))>
1554042671.353 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (sqrt 2))
1554042671.354 * * [simplify]: iters left: 6 (7 enodes)
1554042671.356 * * [simplify]: iters left: 5 (30 enodes)
1554042671.362 * * [simplify]: iters left: 4 (48 enodes)
1554042671.370 * * [simplify]: iters left: 3 (56 enodes)
1554042671.379 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042671.379 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042671.379 * * [simplify]: Extracting #2: cost 15 inf + 43
1554042671.379 * * [simplify]: Extracting #3: cost 16 inf + 86
1554042671.380 * * [simplify]: Extracting #4: cost 5 inf + 911
1554042671.380 * * [simplify]: Extracting #5: cost 1 inf + 1198
1554042671.380 * * [simplify]: Extracting #6: cost 0 inf + 1320
1554042671.381 * [simplify]: Simplified to (/ (- 1 k) 2)
1554042671.381 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (- 1 k) 2)) (pow k -1/2))))
1554042671.381 * * * * [progress]: [ 67 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) (sqrt 2)) 2)) (pow k -1/2))))>
1554042671.381 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) 2)
1554042671.381 * * [simplify]: iters left: 6 (7 enodes)
1554042671.383 * * [simplify]: iters left: 5 (30 enodes)
1554042671.389 * * [simplify]: iters left: 4 (52 enodes)
1554042671.398 * * [simplify]: iters left: 3 (70 enodes)
1554042671.408 * * [simplify]: iters left: 2 (81 enodes)
1554042671.421 * * [simplify]: iters left: 1 (84 enodes)
1554042671.435 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042671.435 * * [simplify]: Extracting #1: cost 11 inf + 0
1554042671.435 * * [simplify]: Extracting #2: cost 25 inf + 123
1554042671.435 * * [simplify]: Extracting #3: cost 25 inf + 330
1554042671.436 * * [simplify]: Extracting #4: cost 4 inf + 2256
1554042671.436 * * [simplify]: Extracting #5: cost 0 inf + 2704
1554042671.437 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (sqrt 2))
1554042671.437 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) 2) (sqrt 2))) (pow k -1/2))))
1554042671.437 * * * * [progress]: [ 68 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) 2) (cbrt 2))) (pow k -1/2))))>
1554042671.437 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2))
1554042671.437 * * [simplify]: iters left: 6 (7 enodes)
1554042671.440 * * [simplify]: iters left: 5 (31 enodes)
1554042671.446 * * [simplify]: iters left: 4 (51 enodes)
1554042671.455 * * [simplify]: iters left: 3 (64 enodes)
1554042671.464 * * [simplify]: iters left: 2 (77 enodes)
1554042671.475 * * [simplify]: iters left: 1 (84 enodes)
1554042671.487 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042671.487 * * [simplify]: Extracting #1: cost 11 inf + 0
1554042671.487 * * [simplify]: Extracting #2: cost 26 inf + 82
1554042671.487 * * [simplify]: Extracting #3: cost 24 inf + 692
1554042671.488 * * [simplify]: Extracting #4: cost 3 inf + 3057
1554042671.488 * * [simplify]: Extracting #5: cost 0 inf + 3504
1554042671.489 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2)))
1554042671.489 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2)))) (pow k -1/2))))
1554042671.489 * * * * [progress]: [ 69 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) (/ (/ (- 1 k) 2) (sqrt 2))) (pow k -1/2))))>
1554042671.489 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2))
1554042671.490 * * [simplify]: iters left: 6 (7 enodes)
1554042671.492 * * [simplify]: iters left: 5 (31 enodes)
1554042671.498 * * [simplify]: iters left: 4 (51 enodes)
1554042671.508 * * [simplify]: iters left: 3 (64 enodes)
1554042671.517 * * [simplify]: iters left: 2 (77 enodes)
1554042671.529 * * [simplify]: iters left: 1 (84 enodes)
1554042671.540 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042671.540 * * [simplify]: Extracting #1: cost 11 inf + 0
1554042671.541 * * [simplify]: Extracting #2: cost 26 inf + 42
1554042671.541 * * [simplify]: Extracting #3: cost 24 inf + 452
1554042671.541 * * [simplify]: Extracting #4: cost 3 inf + 2337
1554042671.542 * * [simplify]: Extracting #5: cost 0 inf + 2704
1554042671.542 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2)))
1554042671.542 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2)))) (pow k -1/2))))
1554042671.542 * * * * [progress]: [ 70 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042671.543 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2)
1554042671.543 * * [simplify]: iters left: 6 (6 enodes)
1554042671.546 * * [simplify]: iters left: 5 (29 enodes)
1554042671.555 * * [simplify]: iters left: 4 (44 enodes)
1554042671.566 * * [simplify]: iters left: 3 (50 enodes)
1554042671.574 * * [simplify]: iters left: 2 (57 enodes)
1554042671.583 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042671.583 * * [simplify]: Extracting #1: cost 9 inf + 0
1554042671.584 * * [simplify]: Extracting #2: cost 15 inf + 3
1554042671.584 * * [simplify]: Extracting #3: cost 11 inf + 131
1554042671.584 * * [simplify]: Extracting #4: cost 2 inf + 711
1554042671.584 * * [simplify]: Extracting #5: cost 0 inf + 836
1554042671.584 * [simplify]: Simplified to (- 1/4 (/ k 4))
1554042671.584 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) (- 1/4 (/ k 4))) (pow k -1/2))))
1554042671.584 * * * * [progress]: [ 71 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) 2) (cbrt 2))) (pow k -1/2))))>
1554042671.585 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2))
1554042671.585 * * [simplify]: iters left: 6 (7 enodes)
1554042671.587 * * [simplify]: iters left: 5 (31 enodes)
1554042671.595 * * [simplify]: iters left: 4 (51 enodes)
1554042671.608 * * [simplify]: iters left: 3 (64 enodes)
1554042671.628 * * [simplify]: iters left: 2 (77 enodes)
1554042671.651 * * [simplify]: iters left: 1 (84 enodes)
1554042671.674 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042671.674 * * [simplify]: Extracting #1: cost 11 inf + 0
1554042671.675 * * [simplify]: Extracting #2: cost 26 inf + 82
1554042671.675 * * [simplify]: Extracting #3: cost 24 inf + 692
1554042671.676 * * [simplify]: Extracting #4: cost 3 inf + 3057
1554042671.677 * * [simplify]: Extracting #5: cost 0 inf + 3504
1554042671.678 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2)))
1554042671.678 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2)))) (pow k -1/2))))
1554042671.679 * * * * [progress]: [ 72 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (/ (- 1 k) 2) (sqrt 2))) (pow k -1/2))))>
1554042671.679 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2))
1554042671.679 * * [simplify]: iters left: 6 (7 enodes)
1554042671.684 * * [simplify]: iters left: 5 (31 enodes)
1554042671.696 * * [simplify]: iters left: 4 (51 enodes)
1554042671.713 * * [simplify]: iters left: 3 (64 enodes)
1554042671.733 * * [simplify]: iters left: 2 (77 enodes)
1554042671.760 * * [simplify]: iters left: 1 (84 enodes)
1554042671.783 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042671.783 * * [simplify]: Extracting #1: cost 11 inf + 0
1554042671.783 * * [simplify]: Extracting #2: cost 26 inf + 42
1554042671.783 * * [simplify]: Extracting #3: cost 24 inf + 452
1554042671.784 * * [simplify]: Extracting #4: cost 3 inf + 2337
1554042671.785 * * [simplify]: Extracting #5: cost 0 inf + 2704
1554042671.787 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2)))
1554042671.787 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2)))) (pow k -1/2))))
1554042671.787 * * * * [progress]: [ 73 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042671.787 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2)
1554042671.787 * * [simplify]: iters left: 6 (6 enodes)
1554042671.792 * * [simplify]: iters left: 5 (29 enodes)
1554042671.803 * * [simplify]: iters left: 4 (44 enodes)
1554042671.815 * * [simplify]: iters left: 3 (50 enodes)
1554042671.831 * * [simplify]: iters left: 2 (57 enodes)
1554042671.847 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042671.848 * * [simplify]: Extracting #1: cost 9 inf + 0
1554042671.848 * * [simplify]: Extracting #2: cost 15 inf + 3
1554042671.848 * * [simplify]: Extracting #3: cost 11 inf + 131
1554042671.848 * * [simplify]: Extracting #4: cost 2 inf + 711
1554042671.849 * * [simplify]: Extracting #5: cost 0 inf + 836
1554042671.849 * [simplify]: Simplified to (- 1/4 (/ k 4))
1554042671.850 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ 1 1)) (- 1/4 (/ k 4))) (pow k -1/2))))
1554042671.850 * * * * [progress]: [ 74 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) (/ (/ 1 2) (cbrt 2))) (pow k -1/2))))>
1554042671.851 * [simplify]: Simplifying (/ (/ 1 2) (cbrt 2))
1554042671.851 * * [simplify]: iters left: 4 (5 enodes)
1554042671.856 * * [simplify]: iters left: 3 (20 enodes)
1554042671.863 * * [simplify]: iters left: 2 (27 enodes)
1554042671.873 * * [simplify]: iters left: 1 (29 enodes)
1554042671.882 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042671.882 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042671.882 * * [simplify]: Extracting #2: cost 4 inf + 449
1554042671.883 * * [simplify]: Extracting #3: cost 0 inf + 895
1554042671.883 * [simplify]: Simplified to (/ 1/2 (cbrt 2))
1554042671.883 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) (/ 1/2 (cbrt 2))) (pow k -1/2))))
1554042671.883 * * * * [progress]: [ 75 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (- 1 k) (sqrt 2))) (/ (/ 1 2) (sqrt 2))) (pow k -1/2))))>
1554042671.884 * [simplify]: Simplifying (/ (/ 1 2) (sqrt 2))
1554042671.884 * * [simplify]: iters left: 4 (5 enodes)
1554042671.889 * * [simplify]: iters left: 3 (20 enodes)
1554042671.896 * * [simplify]: iters left: 2 (27 enodes)
1554042671.905 * * [simplify]: iters left: 1 (29 enodes)
1554042671.916 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042671.916 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042671.916 * * [simplify]: Extracting #2: cost 4 inf + 289
1554042671.916 * * [simplify]: Extracting #3: cost 0 inf + 575
1554042671.917 * [simplify]: Simplified to (/ 1/2 (sqrt 2))
1554042671.917 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (- 1 k) (sqrt 2))) (/ 1/2 (sqrt 2))) (pow k -1/2))))
1554042671.917 * * * * [progress]: [ 76 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (- 1 k) 1)) (/ (/ 1 2) 2)) (pow k -1/2))))>
1554042671.917 * [simplify]: Simplifying (/ (/ 1 2) 2)
1554042671.917 * * [simplify]: iters left: 4 (4 enodes)
1554042671.926 * * [simplify]: iters left: 3 (19 enodes)
1554042671.933 * * [simplify]: iters left: 2 (23 enodes)
1554042671.941 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042671.941 * * [simplify]: Extracting #1: cost 0 inf + 1
1554042671.941 * [simplify]: Simplified to 1/4
1554042671.941 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (- 1 k) 1)) 1/4) (pow k -1/2))))
1554042671.941 * * * * [progress]: [ 77 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) 1) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042671.942 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2)
1554042671.942 * * [simplify]: iters left: 6 (6 enodes)
1554042671.948 * * [simplify]: iters left: 5 (29 enodes)
1554042671.959 * * [simplify]: iters left: 4 (44 enodes)
1554042671.973 * * [simplify]: iters left: 3 (50 enodes)
1554042671.990 * * [simplify]: iters left: 2 (57 enodes)
1554042672.007 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042672.007 * * [simplify]: Extracting #1: cost 9 inf + 0
1554042672.007 * * [simplify]: Extracting #2: cost 15 inf + 3
1554042672.007 * * [simplify]: Extracting #3: cost 11 inf + 131
1554042672.008 * * [simplify]: Extracting #4: cost 2 inf + 711
1554042672.008 * * [simplify]: Extracting #5: cost 0 inf + 836
1554042672.009 * [simplify]: Simplified to (- 1/4 (/ k 4))
1554042672.009 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) 1) (- 1/4 (/ k 4))) (pow k -1/2))))
1554042672.009 * * * * [progress]: [ 78 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 2)) (pow k -1/2))))>
1554042672.009 * [simplify]: Simplifying (/ 1 2)
1554042672.010 * * [simplify]: iters left: 2 (3 enodes)
1554042672.013 * * [simplify]: iters left: 1 (12 enodes)
1554042672.017 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042672.018 * * [simplify]: Extracting #1: cost 0 inf + 1
1554042672.018 * [simplify]: Simplified to 1/2
1554042672.018 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1/2) (pow k -1/2))))
1554042672.018 * * * * [progress]: [ 79 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (* (pow n (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow k -1/2))))>
1554042672.018 * [simplify]: Simplifying (pow n (/ (/ (- 1 k) 2) 2))
1554042672.018 * * [simplify]: iters left: 6 (8 enodes)
1554042672.025 * * [simplify]: iters left: 5 (38 enodes)
1554042672.038 * * [simplify]: iters left: 4 (66 enodes)
1554042672.059 * * [simplify]: iters left: 3 (110 enodes)
1554042672.099 * * [simplify]: iters left: 2 (200 enodes)
1554042672.173 * * [simplify]: iters left: 1 (403 enodes)
1554042672.359 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042672.359 * * [simplify]: Extracting #1: cost 26 inf + 0
1554042672.360 * * [simplify]: Extracting #2: cost 100 inf + 2
1554042672.360 * * [simplify]: Extracting #3: cost 164 inf + 10
1554042672.361 * * [simplify]: Extracting #4: cost 157 inf + 1472
1554042672.364 * * [simplify]: Extracting #5: cost 64 inf + 19273
1554042672.372 * * [simplify]: Extracting #6: cost 8 inf + 47461
1554042672.387 * * [simplify]: Extracting #7: cost 0 inf + 52807
1554042672.404 * [simplify]: Simplified to (pow n (- 1/4 (/ k 4)))
1554042672.404 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (* (pow n (- 1/4 (/ k 4))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow k -1/2))))
1554042672.404 * * * * [progress]: [ 80 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (pow k -1/2))))>
1554042672.404 * * * * [progress]: [ 81 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (exp (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (pow k -1/2))))>
1554042672.404 * * * * [progress]: [ 82 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log (exp (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (pow k -1/2))))>
1554042672.404 * * * * [progress]: [ 83 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (* (* (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (pow k -1/2))))>
1554042672.404 * * * * [progress]: [ 84 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (pow k -1/2))))>
1554042672.404 * * * * [progress]: [ 85 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (* (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (pow k -1/2))))>
1554042672.405 * * * * [progress]: [ 86 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (* 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (pow k -1/2))))>
1554042672.405 * * * * [progress]: [ 87 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (pow k -1/2))))>
1554042672.405 * * * * [progress]: [ 88 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (posit16->real (real->posit16 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (pow k -1/2))))>
1554042672.405 * * * * [progress]: [ 89 / 226 ] simplifiying candidate #<alt (λ (k n) (* (exp (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042672.405 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2))
1554042672.405 * * [simplify]: iters left: 6 (14 enodes)
1554042672.414 * * [simplify]: iters left: 5 (60 enodes)
1554042672.440 * * [simplify]: iters left: 4 (108 enodes)
1554042672.483 * * [simplify]: iters left: 3 (249 enodes)
1554042672.555 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042672.555 * * [simplify]: Extracting #1: cost 28 inf + 0
1554042672.555 * * [simplify]: Extracting #2: cost 114 inf + 2
1554042672.556 * * [simplify]: Extracting #3: cost 151 inf + 301
1554042672.557 * * [simplify]: Extracting #4: cost 84 inf + 10352
1554042672.562 * * [simplify]: Extracting #5: cost 17 inf + 27228
1554042672.567 * * [simplify]: Extracting #6: cost 0 inf + 31848
1554042672.573 * * [simplify]: Extracting #7: cost 0 inf + 31808
1554042672.582 * [simplify]: Simplified to (/ (+ (log n) (+ (log 2) (log PI))) (/ 4 (- 1 k)))
1554042672.582 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (/ (+ (log n) (+ (log 2) (log PI))) (/ 4 (- 1 k)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042672.582 * * * * [progress]: [ 90 / 226 ] simplifiying candidate #<alt (λ (k n) (* (exp (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042672.582 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2))
1554042672.583 * * [simplify]: iters left: 6 (13 enodes)
1554042672.591 * * [simplify]: iters left: 5 (58 enodes)
1554042672.611 * * [simplify]: iters left: 4 (101 enodes)
1554042672.631 * * [simplify]: iters left: 3 (207 enodes)
1554042672.689 * * [simplify]: iters left: 2 (498 enodes)
1554042672.854 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042672.854 * * [simplify]: Extracting #1: cost 58 inf + 0
1554042672.855 * * [simplify]: Extracting #2: cost 205 inf + 4
1554042672.856 * * [simplify]: Extracting #3: cost 244 inf + 1075
1554042672.860 * * [simplify]: Extracting #4: cost 137 inf + 20618
1554042672.881 * * [simplify]: Extracting #5: cost 12 inf + 54441
1554042672.905 * * [simplify]: Extracting #6: cost 0 inf + 58827
1554042672.930 * * [simplify]: Extracting #7: cost 0 inf + 58826
1554042672.951 * [simplify]: Simplified to (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 4)
1554042672.951 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 4)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042672.951 * * * * [progress]: [ 91 / 226 ] simplifiying candidate #<alt (λ (k n) (* (exp (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042672.951 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))
1554042672.951 * * [simplify]: iters left: 6 (12 enodes)
1554042672.956 * * [simplify]: iters left: 5 (57 enodes)
1554042672.968 * * [simplify]: iters left: 4 (111 enodes)
1554042672.989 * * [simplify]: iters left: 3 (212 enodes)
1554042673.043 * * [simplify]: iters left: 2 (446 enodes)
1554042673.200 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042673.200 * * [simplify]: Extracting #1: cost 34 inf + 0
1554042673.200 * * [simplify]: Extracting #2: cost 143 inf + 4
1554042673.201 * * [simplify]: Extracting #3: cost 200 inf + 396
1554042673.203 * * [simplify]: Extracting #4: cost 133 inf + 9596
1554042673.209 * * [simplify]: Extracting #5: cost 32 inf + 30294
1554042673.217 * * [simplify]: Extracting #6: cost 1 inf + 36989
1554042673.229 * * [simplify]: Extracting #7: cost 0 inf + 37182
1554042673.250 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 4)
1554042673.251 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 4)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042673.251 * * * * [progress]: [ 92 / 226 ] simplifiying candidate #<alt (λ (k n) (* (exp (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042673.251 * * * * [progress]: [ 93 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (* 1 (/ (/ (- 1 k) 2) 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042673.252 * [simplify]: Simplifying (* n (* 2 PI))
1554042673.252 * * [simplify]: iters left: 4 (5 enodes)
1554042673.256 * * [simplify]: iters left: 3 (19 enodes)
1554042673.262 * * [simplify]: iters left: 2 (27 enodes)
1554042673.270 * * [simplify]: iters left: 1 (32 enodes)
1554042673.279 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042673.279 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042673.279 * * [simplify]: Extracting #2: cost 7 inf + 45
1554042673.279 * * [simplify]: Extracting #3: cost 0 inf + 421
1554042673.279 * [simplify]: Simplified to (* (* PI 2) n)
1554042673.279 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI 2) n) (* 1 (/ (/ (- 1 k) 2) 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042673.280 * * * * [progress]: [ 94 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (* 1 (/ (/ (- 1 k) 2) 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042673.280 * [simplify]: Simplifying (* n (* 2 PI))
1554042673.280 * * [simplify]: iters left: 4 (5 enodes)
1554042673.283 * * [simplify]: iters left: 3 (19 enodes)
1554042673.289 * * [simplify]: iters left: 2 (27 enodes)
1554042673.297 * * [simplify]: iters left: 1 (32 enodes)
1554042673.306 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042673.306 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042673.306 * * [simplify]: Extracting #2: cost 7 inf + 45
1554042673.306 * * [simplify]: Extracting #3: cost 0 inf + 421
1554042673.306 * [simplify]: Simplified to (* (* PI 2) n)
1554042673.306 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI 2) n) (* 1 (/ (/ (- 1 k) 2) 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042673.307 * * * * [progress]: [ 95 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (* 1 (/ (/ (- 1 k) 2) 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042673.307 * [simplify]: Simplifying (* n (* 2 PI))
1554042673.307 * * [simplify]: iters left: 4 (5 enodes)
1554042673.310 * * [simplify]: iters left: 3 (19 enodes)
1554042673.316 * * [simplify]: iters left: 2 (27 enodes)
1554042673.324 * * [simplify]: iters left: 1 (32 enodes)
1554042673.333 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042673.333 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042673.333 * * [simplify]: Extracting #2: cost 7 inf + 45
1554042673.333 * * [simplify]: Extracting #3: cost 0 inf + 421
1554042673.333 * [simplify]: Simplified to (* (* PI 2) n)
1554042673.334 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI 2) n) (* 1 (/ (/ (- 1 k) 2) 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042673.334 * * * * [progress]: [ 96 / 226 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ 1 2) 2)) (pow (* n (* 2 PI)) (/ (/ k 2) 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042673.334 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ k 2) 2))
1554042673.334 * * [simplify]: iters left: 5 (9 enodes)
1554042673.339 * * [simplify]: iters left: 4 (37 enodes)
1554042673.351 * * [simplify]: iters left: 3 (57 enodes)
1554042673.368 * * [simplify]: iters left: 2 (93 enodes)
1554042673.387 * * [simplify]: iters left: 1 (170 enodes)
1554042673.450 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042673.450 * * [simplify]: Extracting #1: cost 13 inf + 0
1554042673.450 * * [simplify]: Extracting #2: cost 59 inf + 1
1554042673.451 * * [simplify]: Extracting #3: cost 78 inf + 176
1554042673.453 * * [simplify]: Extracting #4: cost 40 inf + 3875
1554042673.458 * * [simplify]: Extracting #5: cost 7 inf + 16988
1554042673.464 * * [simplify]: Extracting #6: cost 0 inf + 20577
1554042673.470 * * [simplify]: Extracting #7: cost 0 inf + 20336
1554042673.476 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ k 4))
1554042673.476 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ 1 2) 2)) (pow (* (* PI 2) n) (/ k 4))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042673.476 * * * * [progress]: [ 97 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (* (cbrt (/ (/ (- 1 k) 2) 2)) (cbrt (/ (/ (- 1 k) 2) 2)))) (cbrt (/ (/ (- 1 k) 2) 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042673.476 * [simplify]: Simplifying (cbrt (/ (/ (- 1 k) 2) 2))
1554042673.477 * * [simplify]: iters left: 6 (7 enodes)
1554042673.480 * * [simplify]: iters left: 5 (32 enodes)
1554042673.486 * * [simplify]: iters left: 4 (47 enodes)
1554042673.493 * * [simplify]: iters left: 3 (53 enodes)
1554042673.502 * * [simplify]: iters left: 2 (60 enodes)
1554042673.520 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042673.520 * * [simplify]: Extracting #1: cost 3 inf + 0
1554042673.520 * * [simplify]: Extracting #2: cost 11 inf + 0
1554042673.520 * * [simplify]: Extracting #3: cost 17 inf + 3
1554042673.520 * * [simplify]: Extracting #4: cost 14 inf + 129
1554042673.521 * * [simplify]: Extracting #5: cost 3 inf + 794
1554042673.521 * * [simplify]: Extracting #6: cost 0 inf + 1162
1554042673.521 * [simplify]: Simplified to (cbrt (- 1/4 (/ k 4)))
1554042673.521 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (* (cbrt (/ (/ (- 1 k) 2) 2)) (cbrt (/ (/ (- 1 k) 2) 2)))) (cbrt (- 1/4 (/ k 4)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042673.521 * * * * [progress]: [ 98 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (sqrt (/ (/ (- 1 k) 2) 2))) (sqrt (/ (/ (- 1 k) 2) 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042673.522 * [simplify]: Simplifying (sqrt (/ (/ (- 1 k) 2) 2))
1554042673.522 * * [simplify]: iters left: 6 (7 enodes)
1554042673.524 * * [simplify]: iters left: 5 (32 enodes)
1554042673.531 * * [simplify]: iters left: 4 (47 enodes)
1554042673.538 * * [simplify]: iters left: 3 (53 enodes)
1554042673.547 * * [simplify]: iters left: 2 (60 enodes)
1554042673.559 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042673.559 * * [simplify]: Extracting #1: cost 3 inf + 0
1554042673.559 * * [simplify]: Extracting #2: cost 11 inf + 0
1554042673.560 * * [simplify]: Extracting #3: cost 17 inf + 3
1554042673.560 * * [simplify]: Extracting #4: cost 14 inf + 129
1554042673.560 * * [simplify]: Extracting #5: cost 3 inf + 794
1554042673.561 * * [simplify]: Extracting #6: cost 0 inf + 1082
1554042673.561 * [simplify]: Simplified to (sqrt (- 1/4 (/ k 4)))
1554042673.561 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (sqrt (/ (/ (- 1 k) 2) 2))) (sqrt (- 1/4 (/ k 4)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042673.562 * * * * [progress]: [ 99 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042673.562 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))
1554042673.562 * * [simplify]: iters left: 6 (8 enodes)
1554042673.568 * * [simplify]: iters left: 5 (32 enodes)
1554042673.579 * * [simplify]: iters left: 4 (41 enodes)
1554042673.594 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042673.594 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042673.594 * * [simplify]: Extracting #2: cost 8 inf + 0
1554042673.594 * * [simplify]: Extracting #3: cost 9 inf + 163
1554042673.594 * * [simplify]: Extracting #4: cost 13 inf + 164
1554042673.594 * * [simplify]: Extracting #5: cost 10 inf + 249
1554042673.595 * * [simplify]: Extracting #6: cost 3 inf + 986
1554042673.595 * * [simplify]: Extracting #7: cost 0 inf + 1474
1554042673.596 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))
1554042673.596 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042673.596 * * * * [progress]: [ 100 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (sqrt 2))) (/ (cbrt (/ (- 1 k) 2)) (sqrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042673.596 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) (sqrt 2))
1554042673.597 * * [simplify]: iters left: 6 (8 enodes)
1554042673.602 * * [simplify]: iters left: 5 (32 enodes)
1554042673.608 * * [simplify]: iters left: 4 (41 enodes)
1554042673.614 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042673.614 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042673.614 * * [simplify]: Extracting #2: cost 8 inf + 0
1554042673.614 * * [simplify]: Extracting #3: cost 9 inf + 83
1554042673.614 * * [simplify]: Extracting #4: cost 13 inf + 84
1554042673.615 * * [simplify]: Extracting #5: cost 10 inf + 169
1554042673.615 * * [simplify]: Extracting #6: cost 3 inf + 866
1554042673.615 * * [simplify]: Extracting #7: cost 0 inf + 1314
1554042673.615 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) (sqrt 2))
1554042673.615 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (sqrt 2))) (/ (cbrt (/ (- 1 k) 2)) (sqrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042673.615 * * * * [progress]: [ 101 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) 1)) (/ (cbrt (/ (- 1 k) 2)) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042673.616 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) 2)
1554042673.616 * * [simplify]: iters left: 6 (7 enodes)
1554042673.618 * * [simplify]: iters left: 5 (29 enodes)
1554042673.625 * * [simplify]: iters left: 4 (38 enodes)
1554042673.631 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042673.631 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042673.631 * * [simplify]: Extracting #2: cost 5 inf + 1
1554042673.632 * * [simplify]: Extracting #3: cost 9 inf + 1
1554042673.632 * * [simplify]: Extracting #4: cost 13 inf + 2
1554042673.632 * * [simplify]: Extracting #5: cost 12 inf + 4
1554042673.632 * * [simplify]: Extracting #6: cost 2 inf + 746
1554042673.632 * * [simplify]: Extracting #7: cost 0 inf + 1152
1554042673.632 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) 2)
1554042673.632 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) 1)) (/ (cbrt (/ (- 1 k) 2)) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042673.632 * * * * [progress]: [ 102 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (/ (- 1 k) 2)) (cbrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042673.633 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) (cbrt 2))
1554042673.633 * * [simplify]: iters left: 6 (8 enodes)
1554042673.638 * * [simplify]: iters left: 5 (32 enodes)
1554042673.649 * * [simplify]: iters left: 4 (41 enodes)
1554042673.656 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042673.656 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042673.657 * * [simplify]: Extracting #2: cost 8 inf + 0
1554042673.657 * * [simplify]: Extracting #3: cost 9 inf + 163
1554042673.657 * * [simplify]: Extracting #4: cost 13 inf + 164
1554042673.657 * * [simplify]: Extracting #5: cost 10 inf + 249
1554042673.657 * * [simplify]: Extracting #6: cost 3 inf + 906
1554042673.658 * * [simplify]: Extracting #7: cost 0 inf + 1314
1554042673.658 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) (cbrt 2))
1554042673.658 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (/ (- 1 k) 2)) (cbrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042673.658 * * * * [progress]: [ 103 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042673.658 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))
1554042673.658 * * [simplify]: iters left: 6 (8 enodes)
1554042673.662 * * [simplify]: iters left: 5 (32 enodes)
1554042673.668 * * [simplify]: iters left: 4 (41 enodes)
1554042673.675 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042673.675 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042673.675 * * [simplify]: Extracting #2: cost 8 inf + 0
1554042673.675 * * [simplify]: Extracting #3: cost 9 inf + 83
1554042673.675 * * [simplify]: Extracting #4: cost 13 inf + 84
1554042673.675 * * [simplify]: Extracting #5: cost 10 inf + 169
1554042673.675 * * [simplify]: Extracting #6: cost 3 inf + 786
1554042673.675 * * [simplify]: Extracting #7: cost 0 inf + 1154
1554042673.676 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))
1554042673.676 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042673.676 * * * * [progress]: [ 104 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) 1)) (/ (sqrt (/ (- 1 k) 2)) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042673.676 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) 2)
1554042673.676 * * [simplify]: iters left: 6 (7 enodes)
1554042673.679 * * [simplify]: iters left: 5 (29 enodes)
1554042673.684 * * [simplify]: iters left: 4 (38 enodes)
1554042673.691 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042673.691 * * [simplify]: Extracting #1: cost 4 inf + 0
1554042673.691 * * [simplify]: Extracting #2: cost 5 inf + 1
1554042673.691 * * [simplify]: Extracting #3: cost 9 inf + 1
1554042673.691 * * [simplify]: Extracting #4: cost 13 inf + 2
1554042673.691 * * [simplify]: Extracting #5: cost 12 inf + 4
1554042673.691 * * [simplify]: Extracting #6: cost 2 inf + 666
1554042673.692 * * [simplify]: Extracting #7: cost 0 inf + 992
1554042673.692 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) 2)
1554042673.692 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) 1)) (/ (sqrt (/ (- 1 k) 2)) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042673.692 * * * * [progress]: [ 105 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) (cbrt 2)) (cbrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042673.693 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) (cbrt 2))
1554042673.693 * * [simplify]: iters left: 6 (8 enodes)
1554042673.696 * * [simplify]: iters left: 5 (30 enodes)
1554042673.701 * * [simplify]: iters left: 4 (37 enodes)
1554042673.707 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042673.707 * * [simplify]: Extracting #1: cost 6 inf + 0
1554042673.707 * * [simplify]: Extracting #2: cost 12 inf + 0
1554042673.707 * * [simplify]: Extracting #3: cost 11 inf + 405
1554042673.707 * * [simplify]: Extracting #4: cost 10 inf + 407
1554042673.708 * * [simplify]: Extracting #5: cost 4 inf + 1220
1554042673.708 * * [simplify]: Extracting #6: cost 0 inf + 1869
1554042673.708 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (cbrt 2) (cbrt 2)))
1554042673.708 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042673.708 * * * * [progress]: [ 106 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042673.708 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2))
1554042673.708 * * [simplify]: iters left: 6 (9 enodes)
1554042673.711 * * [simplify]: iters left: 5 (33 enodes)
1554042673.718 * * [simplify]: iters left: 4 (43 enodes)
1554042673.727 * * [simplify]: iters left: 3 (45 enodes)
1554042673.735 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042673.735 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042673.735 * * [simplify]: Extracting #2: cost 16 inf + 0
1554042673.735 * * [simplify]: Extracting #3: cost 16 inf + 284
1554042673.736 * * [simplify]: Extracting #4: cost 11 inf + 610
1554042673.736 * * [simplify]: Extracting #5: cost 8 inf + 815
1554042673.736 * * [simplify]: Extracting #6: cost 0 inf + 2517
1554042673.737 * [simplify]: Simplified to (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2))
1554042673.737 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042673.737 * * * * [progress]: [ 107 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (cbrt (- 1 k)) (cbrt 2)) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042673.738 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) 2)
1554042673.738 * * [simplify]: iters left: 6 (8 enodes)
1554042673.743 * * [simplify]: iters left: 5 (30 enodes)
1554042673.753 * * [simplify]: iters left: 4 (40 enodes)
1554042673.764 * * [simplify]: iters left: 3 (42 enodes)
1554042673.771 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042673.771 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042673.771 * * [simplify]: Extracting #2: cost 12 inf + 82
1554042673.771 * * [simplify]: Extracting #3: cost 13 inf + 405
1554042673.771 * * [simplify]: Extracting #4: cost 12 inf + 407
1554042673.771 * * [simplify]: Extracting #5: cost 5 inf + 1383
1554042673.772 * * [simplify]: Extracting #6: cost 0 inf + 2195
1554042673.772 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* 2 (cbrt 2)))
1554042673.772 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) 1)) (/ (cbrt (- 1 k)) (* 2 (cbrt 2)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042673.772 * * * * [progress]: [ 108 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042673.772 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2))
1554042673.773 * * [simplify]: iters left: 6 (9 enodes)
1554042673.776 * * [simplify]: iters left: 5 (33 enodes)
1554042673.783 * * [simplify]: iters left: 4 (43 enodes)
1554042673.791 * * [simplify]: iters left: 3 (45 enodes)
1554042673.802 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042673.802 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042673.802 * * [simplify]: Extracting #2: cost 16 inf + 0
1554042673.802 * * [simplify]: Extracting #3: cost 16 inf + 284
1554042673.803 * * [simplify]: Extracting #4: cost 11 inf + 610
1554042673.803 * * [simplify]: Extracting #5: cost 8 inf + 815
1554042673.804 * * [simplify]: Extracting #6: cost 0 inf + 2517
1554042673.804 * [simplify]: Simplified to (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2))
1554042673.805 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042673.805 * * * * [progress]: [ 109 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (sqrt 2))) (/ (/ (cbrt (- 1 k)) (sqrt 2)) (sqrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042673.805 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) (sqrt 2))
1554042673.805 * * [simplify]: iters left: 6 (8 enodes)
1554042673.811 * * [simplify]: iters left: 5 (30 enodes)
1554042673.822 * * [simplify]: iters left: 4 (35 enodes)
1554042673.833 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042673.833 * * [simplify]: Extracting #1: cost 6 inf + 0
1554042673.833 * * [simplify]: Extracting #2: cost 8 inf + 42
1554042673.833 * * [simplify]: Extracting #3: cost 11 inf + 83
1554042673.833 * * [simplify]: Extracting #4: cost 10 inf + 85
1554042673.833 * * [simplify]: Extracting #5: cost 4 inf + 658
1554042673.834 * * [simplify]: Extracting #6: cost 0 inf + 1227
1554042673.834 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2)
1554042673.834 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (sqrt 2))) (/ (cbrt (- 1 k)) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042673.834 * * * * [progress]: [ 110 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) 1)) (/ (/ (cbrt (- 1 k)) (sqrt 2)) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042673.835 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) 2)
1554042673.835 * * [simplify]: iters left: 6 (8 enodes)
1554042673.838 * * [simplify]: iters left: 5 (30 enodes)
1554042673.844 * * [simplify]: iters left: 4 (40 enodes)
1554042673.852 * * [simplify]: iters left: 3 (42 enodes)
1554042673.859 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042673.859 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042673.859 * * [simplify]: Extracting #2: cost 12 inf + 42
1554042673.859 * * [simplify]: Extracting #3: cost 13 inf + 245
1554042673.860 * * [simplify]: Extracting #4: cost 12 inf + 247
1554042673.860 * * [simplify]: Extracting #5: cost 5 inf + 1143
1554042673.860 * * [simplify]: Extracting #6: cost 0 inf + 1875
1554042673.861 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* 2 (sqrt 2)))
1554042673.861 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) 1)) (/ (cbrt (- 1 k)) (* 2 (sqrt 2)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042673.861 * * * * [progress]: [ 111 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) 2) (cbrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042673.861 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) (cbrt 2))
1554042673.861 * * [simplify]: iters left: 6 (8 enodes)
1554042673.864 * * [simplify]: iters left: 5 (30 enodes)
1554042673.869 * * [simplify]: iters left: 4 (40 enodes)
1554042673.876 * * [simplify]: iters left: 3 (42 enodes)
1554042673.882 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042673.882 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042673.882 * * [simplify]: Extracting #2: cost 11 inf + 203
1554042673.883 * * [simplify]: Extracting #3: cost 13 inf + 405
1554042673.883 * * [simplify]: Extracting #4: cost 12 inf + 407
1554042673.883 * * [simplify]: Extracting #5: cost 3 inf + 1789
1554042673.883 * * [simplify]: Extracting #6: cost 0 inf + 2195
1554042673.883 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (cbrt 2) 2))
1554042673.884 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (* (cbrt 2) 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042673.884 * * * * [progress]: [ 112 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (sqrt 2))) (/ (/ (cbrt (- 1 k)) 2) (sqrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042673.884 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) (sqrt 2))
1554042673.884 * * [simplify]: iters left: 6 (8 enodes)
1554042673.887 * * [simplify]: iters left: 5 (30 enodes)
1554042673.895 * * [simplify]: iters left: 4 (40 enodes)
1554042673.907 * * [simplify]: iters left: 3 (42 enodes)
1554042673.920 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042673.920 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042673.920 * * [simplify]: Extracting #2: cost 11 inf + 123
1554042673.920 * * [simplify]: Extracting #3: cost 13 inf + 245
1554042673.920 * * [simplify]: Extracting #4: cost 12 inf + 247
1554042673.921 * * [simplify]: Extracting #5: cost 3 inf + 1509
1554042673.921 * * [simplify]: Extracting #6: cost 0 inf + 1875
1554042673.922 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (sqrt 2) 2))
1554042673.922 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (sqrt 2))) (/ (cbrt (- 1 k)) (* (sqrt 2) 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042673.922 * * * * [progress]: [ 113 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (/ (cbrt (- 1 k)) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042673.923 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) 2)
1554042673.923 * * [simplify]: iters left: 6 (7 enodes)
1554042673.927 * * [simplify]: iters left: 5 (28 enodes)
1554042673.937 * * [simplify]: iters left: 4 (35 enodes)
1554042673.949 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042673.949 * * [simplify]: Extracting #1: cost 6 inf + 0
1554042673.949 * * [simplify]: Extracting #2: cost 7 inf + 2
1554042673.949 * * [simplify]: Extracting #3: cost 11 inf + 2
1554042673.949 * * [simplify]: Extracting #4: cost 9 inf + 45
1554042673.950 * * [simplify]: Extracting #5: cost 4 inf + 455
1554042673.950 * * [simplify]: Extracting #6: cost 0 inf + 1066
1554042673.950 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 4)
1554042673.951 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042673.951 * * * * [progress]: [ 114 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042673.951 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2))
1554042673.951 * * [simplify]: iters left: 6 (8 enodes)
1554042673.956 * * [simplify]: iters left: 5 (30 enodes)
1554042673.968 * * [simplify]: iters left: 4 (37 enodes)
1554042673.979 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042673.980 * * [simplify]: Extracting #1: cost 6 inf + 0
1554042673.980 * * [simplify]: Extracting #2: cost 12 inf + 0
1554042673.980 * * [simplify]: Extracting #3: cost 11 inf + 405
1554042673.980 * * [simplify]: Extracting #4: cost 10 inf + 407
1554042673.980 * * [simplify]: Extracting #5: cost 4 inf + 1100
1554042673.981 * * [simplify]: Extracting #6: cost 0 inf + 1629
1554042673.981 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))
1554042673.981 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042673.982 * * * * [progress]: [ 115 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042673.982 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2))
1554042673.982 * * [simplify]: iters left: 6 (9 enodes)
1554042673.990 * * [simplify]: iters left: 5 (33 enodes)
1554042673.996 * * [simplify]: iters left: 4 (43 enodes)
1554042674.003 * * [simplify]: iters left: 3 (45 enodes)
1554042674.011 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042674.011 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042674.011 * * [simplify]: Extracting #2: cost 16 inf + 0
1554042674.012 * * [simplify]: Extracting #3: cost 16 inf + 284
1554042674.012 * * [simplify]: Extracting #4: cost 11 inf + 610
1554042674.012 * * [simplify]: Extracting #5: cost 8 inf + 775
1554042674.012 * * [simplify]: Extracting #6: cost 0 inf + 2197
1554042674.013 * [simplify]: Simplified to (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2))
1554042674.013 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042674.013 * * * * [progress]: [ 116 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (sqrt (- 1 k)) (cbrt 2)) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042674.013 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) 2)
1554042674.013 * * [simplify]: iters left: 6 (8 enodes)
1554042674.016 * * [simplify]: iters left: 5 (30 enodes)
1554042674.023 * * [simplify]: iters left: 4 (40 enodes)
1554042674.035 * * [simplify]: iters left: 3 (42 enodes)
1554042674.048 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042674.048 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042674.048 * * [simplify]: Extracting #2: cost 12 inf + 82
1554042674.048 * * [simplify]: Extracting #3: cost 13 inf + 405
1554042674.048 * * [simplify]: Extracting #4: cost 12 inf + 407
1554042674.049 * * [simplify]: Extracting #5: cost 5 inf + 1223
1554042674.049 * * [simplify]: Extracting #6: cost 0 inf + 1875
1554042674.050 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* 2 (cbrt 2)))
1554042674.050 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (sqrt (- 1 k)) (* 2 (cbrt 2)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042674.050 * * * * [progress]: [ 117 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042674.051 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2))
1554042674.051 * * [simplify]: iters left: 6 (9 enodes)
1554042674.057 * * [simplify]: iters left: 5 (33 enodes)
1554042674.069 * * [simplify]: iters left: 4 (43 enodes)
1554042674.084 * * [simplify]: iters left: 3 (45 enodes)
1554042674.098 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042674.098 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042674.098 * * [simplify]: Extracting #2: cost 16 inf + 0
1554042674.098 * * [simplify]: Extracting #3: cost 16 inf + 284
1554042674.098 * * [simplify]: Extracting #4: cost 11 inf + 610
1554042674.099 * * [simplify]: Extracting #5: cost 8 inf + 775
1554042674.099 * * [simplify]: Extracting #6: cost 0 inf + 2197
1554042674.100 * [simplify]: Simplified to (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2))
1554042674.100 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042674.100 * * * * [progress]: [ 118 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042674.101 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))
1554042674.101 * * [simplify]: iters left: 6 (8 enodes)
1554042674.106 * * [simplify]: iters left: 5 (30 enodes)
1554042674.116 * * [simplify]: iters left: 4 (35 enodes)
1554042674.129 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042674.129 * * [simplify]: Extracting #1: cost 6 inf + 0
1554042674.129 * * [simplify]: Extracting #2: cost 8 inf + 42
1554042674.129 * * [simplify]: Extracting #3: cost 11 inf + 83
1554042674.129 * * [simplify]: Extracting #4: cost 10 inf + 85
1554042674.129 * * [simplify]: Extracting #5: cost 4 inf + 538
1554042674.130 * * [simplify]: Extracting #6: cost 0 inf + 987
1554042674.130 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2)
1554042674.130 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))) (/ (sqrt (- 1 k)) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042674.131 * * * * [progress]: [ 119 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) 1)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042674.131 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) 2)
1554042674.131 * * [simplify]: iters left: 6 (8 enodes)
1554042674.136 * * [simplify]: iters left: 5 (30 enodes)
1554042674.147 * * [simplify]: iters left: 4 (40 enodes)
1554042674.160 * * [simplify]: iters left: 3 (42 enodes)
1554042674.173 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042674.173 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042674.173 * * [simplify]: Extracting #2: cost 12 inf + 42
1554042674.173 * * [simplify]: Extracting #3: cost 13 inf + 245
1554042674.173 * * [simplify]: Extracting #4: cost 12 inf + 247
1554042674.174 * * [simplify]: Extracting #5: cost 5 inf + 983
1554042674.174 * * [simplify]: Extracting #6: cost 0 inf + 1555
1554042674.175 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* 2 (sqrt 2)))
1554042674.175 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) 1)) (/ (sqrt (- 1 k)) (* 2 (sqrt 2)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042674.175 * * * * [progress]: [ 120 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1 k)) 2) (cbrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042674.175 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) (cbrt 2))
1554042674.176 * * [simplify]: iters left: 6 (8 enodes)
1554042674.180 * * [simplify]: iters left: 5 (30 enodes)
1554042674.191 * * [simplify]: iters left: 4 (40 enodes)
1554042674.203 * * [simplify]: iters left: 3 (42 enodes)
1554042674.215 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042674.215 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042674.215 * * [simplify]: Extracting #2: cost 11 inf + 203
1554042674.215 * * [simplify]: Extracting #3: cost 13 inf + 405
1554042674.216 * * [simplify]: Extracting #4: cost 12 inf + 407
1554042674.216 * * [simplify]: Extracting #5: cost 3 inf + 1549
1554042674.217 * * [simplify]: Extracting #6: cost 0 inf + 1875
1554042674.217 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (cbrt 2) 2))
1554042674.217 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (* (cbrt 2) 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042674.217 * * * * [progress]: [ 121 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (sqrt 2))) (/ (/ (sqrt (- 1 k)) 2) (sqrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042674.218 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) (sqrt 2))
1554042674.218 * * [simplify]: iters left: 6 (8 enodes)
1554042674.223 * * [simplify]: iters left: 5 (30 enodes)
1554042674.233 * * [simplify]: iters left: 4 (40 enodes)
1554042674.245 * * [simplify]: iters left: 3 (42 enodes)
1554042674.257 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042674.258 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042674.258 * * [simplify]: Extracting #2: cost 11 inf + 123
1554042674.258 * * [simplify]: Extracting #3: cost 13 inf + 245
1554042674.258 * * [simplify]: Extracting #4: cost 12 inf + 247
1554042674.258 * * [simplify]: Extracting #5: cost 3 inf + 1269
1554042674.259 * * [simplify]: Extracting #6: cost 0 inf + 1555
1554042674.260 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (sqrt 2) 2))
1554042674.260 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (sqrt 2))) (/ (sqrt (- 1 k)) (* (sqrt 2) 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042674.260 * * * * [progress]: [ 122 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) 1)) (/ (/ (sqrt (- 1 k)) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042674.260 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) 2)
1554042674.260 * * [simplify]: iters left: 6 (7 enodes)
1554042674.263 * * [simplify]: iters left: 5 (28 enodes)
1554042674.268 * * [simplify]: iters left: 4 (35 enodes)
1554042674.273 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042674.273 * * [simplify]: Extracting #1: cost 6 inf + 0
1554042674.273 * * [simplify]: Extracting #2: cost 7 inf + 2
1554042674.273 * * [simplify]: Extracting #3: cost 11 inf + 2
1554042674.273 * * [simplify]: Extracting #4: cost 9 inf + 45
1554042674.273 * * [simplify]: Extracting #5: cost 4 inf + 375
1554042674.273 * * [simplify]: Extracting #6: cost 0 inf + 826
1554042674.274 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 4)
1554042674.274 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) 1)) (/ (sqrt (- 1 k)) 4)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042674.274 * * * * [progress]: [ 123 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (cbrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042674.274 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (cbrt 2))
1554042674.274 * * [simplify]: iters left: 6 (7 enodes)
1554042674.278 * * [simplify]: iters left: 5 (30 enodes)
1554042674.283 * * [simplify]: iters left: 4 (49 enodes)
1554042674.293 * * [simplify]: iters left: 3 (59 enodes)
1554042674.310 * * [simplify]: iters left: 2 (64 enodes)
1554042674.328 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042674.328 * * [simplify]: Extracting #1: cost 9 inf + 0
1554042674.329 * * [simplify]: Extracting #2: cost 23 inf + 0
1554042674.329 * * [simplify]: Extracting #3: cost 24 inf + 3
1554042674.329 * * [simplify]: Extracting #4: cost 15 inf + 980
1554042674.330 * * [simplify]: Extracting #5: cost 1 inf + 3007
1554042674.331 * * [simplify]: Extracting #6: cost 0 inf + 3169
1554042674.332 * [simplify]: Simplified to (/ (- 1 k) (* (cbrt 2) (cbrt 2)))
1554042674.332 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042674.332 * * * * [progress]: [ 124 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042674.332 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))
1554042674.333 * * [simplify]: iters left: 6 (8 enodes)
1554042674.339 * * [simplify]: iters left: 5 (33 enodes)
1554042674.350 * * [simplify]: iters left: 4 (55 enodes)
1554042674.368 * * [simplify]: iters left: 3 (72 enodes)
1554042674.379 * * [simplify]: iters left: 2 (84 enodes)
1554042674.392 * * [simplify]: iters left: 1 (88 enodes)
1554042674.412 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042674.412 * * [simplify]: Extracting #1: cost 11 inf + 0
1554042674.412 * * [simplify]: Extracting #2: cost 30 inf + 0
1554042674.413 * * [simplify]: Extracting #3: cost 33 inf + 84
1554042674.413 * * [simplify]: Extracting #4: cost 12 inf + 2402
1554042674.415 * * [simplify]: Extracting #5: cost 0 inf + 4469
1554042674.416 * [simplify]: Simplified to (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))
1554042674.416 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042674.417 * * * * [progress]: [ 125 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) (cbrt 2)) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042674.417 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) 2)
1554042674.417 * * [simplify]: iters left: 6 (7 enodes)
1554042674.422 * * [simplify]: iters left: 5 (30 enodes)
1554042674.432 * * [simplify]: iters left: 4 (52 enodes)
1554042674.441 * * [simplify]: iters left: 3 (70 enodes)
1554042674.452 * * [simplify]: iters left: 2 (81 enodes)
1554042674.465 * * [simplify]: iters left: 1 (84 enodes)
1554042674.487 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042674.487 * * [simplify]: Extracting #1: cost 11 inf + 0
1554042674.487 * * [simplify]: Extracting #2: cost 25 inf + 203
1554042674.487 * * [simplify]: Extracting #3: cost 25 inf + 530
1554042674.488 * * [simplify]: Extracting #4: cost 4 inf + 2936
1554042674.489 * * [simplify]: Extracting #5: cost 0 inf + 3504
1554042674.490 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (cbrt 2))
1554042674.490 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) 2) (cbrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042674.491 * * * * [progress]: [ 126 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042674.491 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))
1554042674.491 * * [simplify]: iters left: 6 (8 enodes)
1554042674.496 * * [simplify]: iters left: 5 (33 enodes)
1554042674.508 * * [simplify]: iters left: 4 (55 enodes)
1554042674.526 * * [simplify]: iters left: 3 (72 enodes)
1554042674.546 * * [simplify]: iters left: 2 (84 enodes)
1554042674.558 * * [simplify]: iters left: 1 (88 enodes)
1554042674.570 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042674.571 * * [simplify]: Extracting #1: cost 11 inf + 0
1554042674.571 * * [simplify]: Extracting #2: cost 30 inf + 0
1554042674.571 * * [simplify]: Extracting #3: cost 33 inf + 44
1554042674.572 * * [simplify]: Extracting #4: cost 12 inf + 2362
1554042674.573 * * [simplify]: Extracting #5: cost 0 inf + 4469
1554042674.575 * [simplify]: Simplified to (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))
1554042674.575 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042674.575 * * * * [progress]: [ 127 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (sqrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042674.575 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (sqrt 2))
1554042674.575 * * [simplify]: iters left: 6 (7 enodes)
1554042674.580 * * [simplify]: iters left: 5 (30 enodes)
1554042674.591 * * [simplify]: iters left: 4 (48 enodes)
1554042674.606 * * [simplify]: iters left: 3 (56 enodes)
1554042674.622 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042674.622 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042674.622 * * [simplify]: Extracting #2: cost 15 inf + 43
1554042674.622 * * [simplify]: Extracting #3: cost 16 inf + 86
1554042674.623 * * [simplify]: Extracting #4: cost 5 inf + 911
1554042674.623 * * [simplify]: Extracting #5: cost 1 inf + 1198
1554042674.624 * * [simplify]: Extracting #6: cost 0 inf + 1320
1554042674.625 * [simplify]: Simplified to (/ (- 1 k) 2)
1554042674.625 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (- 1 k) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042674.625 * * * * [progress]: [ 128 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) (sqrt 2)) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042674.625 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) 2)
1554042674.625 * * [simplify]: iters left: 6 (7 enodes)
1554042674.628 * * [simplify]: iters left: 5 (30 enodes)
1554042674.633 * * [simplify]: iters left: 4 (52 enodes)
1554042674.642 * * [simplify]: iters left: 3 (70 enodes)
1554042674.655 * * [simplify]: iters left: 2 (81 enodes)
1554042674.677 * * [simplify]: iters left: 1 (84 enodes)
1554042674.700 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042674.701 * * [simplify]: Extracting #1: cost 11 inf + 0
1554042674.701 * * [simplify]: Extracting #2: cost 25 inf + 123
1554042674.701 * * [simplify]: Extracting #3: cost 25 inf + 330
1554042674.702 * * [simplify]: Extracting #4: cost 4 inf + 2256
1554042674.703 * * [simplify]: Extracting #5: cost 0 inf + 2704
1554042674.704 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (sqrt 2))
1554042674.704 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) 2) (sqrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042674.705 * * * * [progress]: [ 129 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) 2) (cbrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042674.705 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2))
1554042674.705 * * [simplify]: iters left: 6 (7 enodes)
1554042674.710 * * [simplify]: iters left: 5 (31 enodes)
1554042674.721 * * [simplify]: iters left: 4 (51 enodes)
1554042674.737 * * [simplify]: iters left: 3 (64 enodes)
1554042674.753 * * [simplify]: iters left: 2 (77 enodes)
1554042674.764 * * [simplify]: iters left: 1 (84 enodes)
1554042674.777 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042674.777 * * [simplify]: Extracting #1: cost 11 inf + 0
1554042674.777 * * [simplify]: Extracting #2: cost 26 inf + 82
1554042674.778 * * [simplify]: Extracting #3: cost 24 inf + 692
1554042674.778 * * [simplify]: Extracting #4: cost 3 inf + 3057
1554042674.780 * * [simplify]: Extracting #5: cost 0 inf + 3504
1554042674.781 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2)))
1554042674.781 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042674.781 * * * * [progress]: [ 130 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) (/ (/ (- 1 k) 2) (sqrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042674.782 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2))
1554042674.782 * * [simplify]: iters left: 6 (7 enodes)
1554042674.787 * * [simplify]: iters left: 5 (31 enodes)
1554042674.798 * * [simplify]: iters left: 4 (51 enodes)
1554042674.814 * * [simplify]: iters left: 3 (64 enodes)
1554042674.834 * * [simplify]: iters left: 2 (77 enodes)
1554042674.858 * * [simplify]: iters left: 1 (84 enodes)
1554042674.880 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042674.880 * * [simplify]: Extracting #1: cost 11 inf + 0
1554042674.880 * * [simplify]: Extracting #2: cost 26 inf + 42
1554042674.880 * * [simplify]: Extracting #3: cost 24 inf + 452
1554042674.881 * * [simplify]: Extracting #4: cost 3 inf + 2337
1554042674.882 * * [simplify]: Extracting #5: cost 0 inf + 2704
1554042674.884 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2)))
1554042674.884 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042674.884 * * * * [progress]: [ 131 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042674.884 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2)
1554042674.884 * * [simplify]: iters left: 6 (6 enodes)
1554042674.889 * * [simplify]: iters left: 5 (29 enodes)
1554042674.899 * * [simplify]: iters left: 4 (44 enodes)
1554042674.913 * * [simplify]: iters left: 3 (50 enodes)
1554042674.929 * * [simplify]: iters left: 2 (57 enodes)
1554042674.948 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042674.948 * * [simplify]: Extracting #1: cost 9 inf + 0
1554042674.948 * * [simplify]: Extracting #2: cost 15 inf + 3
1554042674.948 * * [simplify]: Extracting #3: cost 11 inf + 131
1554042674.949 * * [simplify]: Extracting #4: cost 2 inf + 711
1554042674.949 * * [simplify]: Extracting #5: cost 0 inf + 836
1554042674.949 * [simplify]: Simplified to (- 1/4 (/ k 4))
1554042674.949 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) (- 1/4 (/ k 4))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042674.949 * * * * [progress]: [ 132 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (cbrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042674.950 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (cbrt 2))
1554042674.950 * * [simplify]: iters left: 6 (9 enodes)
1554042674.953 * * [simplify]: iters left: 5 (36 enodes)
1554042674.960 * * [simplify]: iters left: 4 (58 enodes)
1554042674.969 * * [simplify]: iters left: 3 (71 enodes)
1554042674.980 * * [simplify]: iters left: 2 (79 enodes)
1554042674.997 * * [simplify]: iters left: 1 (80 enodes)
1554042675.009 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042675.009 * * [simplify]: Extracting #1: cost 9 inf + 0
1554042675.009 * * [simplify]: Extracting #2: cost 24 inf + 0
1554042675.009 * * [simplify]: Extracting #3: cost 29 inf + 2
1554042675.009 * * [simplify]: Extracting #4: cost 10 inf + 2233
1554042675.011 * * [simplify]: Extracting #5: cost 1 inf + 4013
1554042675.012 * * [simplify]: Extracting #6: cost 0 inf + 4135
1554042675.014 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))
1554042675.014 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042675.014 * * * * [progress]: [ 133 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (sqrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042675.014 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (sqrt 2))
1554042675.014 * * [simplify]: iters left: 6 (10 enodes)
1554042675.021 * * [simplify]: iters left: 5 (39 enodes)
1554042675.034 * * [simplify]: iters left: 4 (64 enodes)
1554042675.046 * * [simplify]: iters left: 3 (86 enodes)
1554042675.059 * * [simplify]: iters left: 2 (99 enodes)
1554042675.083 * * [simplify]: iters left: 1 (104 enodes)
1554042675.110 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042675.110 * * [simplify]: Extracting #1: cost 11 inf + 0
1554042675.110 * * [simplify]: Extracting #2: cost 31 inf + 0
1554042675.110 * * [simplify]: Extracting #3: cost 39 inf + 2
1554042675.111 * * [simplify]: Extracting #4: cost 22 inf + 1871
1554042675.112 * * [simplify]: Extracting #5: cost 4 inf + 4865
1554042675.114 * * [simplify]: Extracting #6: cost 0 inf + 5675
1554042675.116 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2)))
1554042675.116 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042675.117 * * * * [progress]: [ 134 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042675.117 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2)
1554042675.117 * * [simplify]: iters left: 6 (9 enodes)
1554042675.123 * * [simplify]: iters left: 5 (36 enodes)
1554042675.135 * * [simplify]: iters left: 4 (61 enodes)
1554042675.152 * * [simplify]: iters left: 3 (84 enodes)
1554042675.169 * * [simplify]: iters left: 2 (96 enodes)
1554042675.184 * * [simplify]: iters left: 1 (100 enodes)
1554042675.200 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042675.200 * * [simplify]: Extracting #1: cost 11 inf + 0
1554042675.200 * * [simplify]: Extracting #2: cost 27 inf + 82
1554042675.200 * * [simplify]: Extracting #3: cost 29 inf + 651
1554042675.201 * * [simplify]: Extracting #4: cost 12 inf + 2763
1554042675.203 * * [simplify]: Extracting #5: cost 1 inf + 4587
1554042675.204 * * [simplify]: Extracting #6: cost 0 inf + 4710
1554042675.205 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (cbrt 2)))
1554042675.205 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (- 1 (sqrt k)) (* 2 (cbrt 2)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042675.206 * * * * [progress]: [ 135 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (cbrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042675.206 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (cbrt 2))
1554042675.206 * * [simplify]: iters left: 6 (10 enodes)
1554042675.210 * * [simplify]: iters left: 5 (39 enodes)
1554042675.217 * * [simplify]: iters left: 4 (64 enodes)
1554042675.227 * * [simplify]: iters left: 3 (86 enodes)
1554042675.242 * * [simplify]: iters left: 2 (99 enodes)
1554042675.270 * * [simplify]: iters left: 1 (104 enodes)
1554042675.287 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042675.287 * * [simplify]: Extracting #1: cost 11 inf + 0
1554042675.287 * * [simplify]: Extracting #2: cost 31 inf + 0
1554042675.287 * * [simplify]: Extracting #3: cost 39 inf + 2
1554042675.287 * * [simplify]: Extracting #4: cost 22 inf + 1831
1554042675.288 * * [simplify]: Extracting #5: cost 4 inf + 4785
1554042675.289 * * [simplify]: Extracting #6: cost 0 inf + 5595
1554042675.290 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2)))
1554042675.290 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042675.290 * * * * [progress]: [ 136 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042675.291 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))
1554042675.291 * * [simplify]: iters left: 6 (9 enodes)
1554042675.296 * * [simplify]: iters left: 5 (36 enodes)
1554042675.309 * * [simplify]: iters left: 4 (57 enodes)
1554042675.328 * * [simplify]: iters left: 3 (73 enodes)
1554042675.348 * * [simplify]: iters left: 2 (80 enodes)
1554042675.368 * * [simplify]: iters left: 1 (81 enodes)
1554042675.387 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042675.387 * * [simplify]: Extracting #1: cost 9 inf + 0
1554042675.388 * * [simplify]: Extracting #2: cost 18 inf + 43
1554042675.388 * * [simplify]: Extracting #3: cost 23 inf + 85
1554042675.388 * * [simplify]: Extracting #4: cost 9 inf + 1271
1554042675.389 * * [simplify]: Extracting #5: cost 0 inf + 2370
1554042675.390 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2)
1554042675.390 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (- 1 (sqrt k)) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042675.391 * * * * [progress]: [ 137 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) 1)) (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042675.391 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2)
1554042675.391 * * [simplify]: iters left: 6 (9 enodes)
1554042675.397 * * [simplify]: iters left: 5 (36 enodes)
1554042675.410 * * [simplify]: iters left: 4 (61 enodes)
1554042675.429 * * [simplify]: iters left: 3 (84 enodes)
1554042675.445 * * [simplify]: iters left: 2 (96 enodes)
1554042675.458 * * [simplify]: iters left: 1 (100 enodes)
1554042675.471 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042675.471 * * [simplify]: Extracting #1: cost 11 inf + 0
1554042675.471 * * [simplify]: Extracting #2: cost 27 inf + 42
1554042675.471 * * [simplify]: Extracting #3: cost 29 inf + 411
1554042675.471 * * [simplify]: Extracting #4: cost 12 inf + 2163
1554042675.472 * * [simplify]: Extracting #5: cost 1 inf + 3707
1554042675.473 * * [simplify]: Extracting #6: cost 0 inf + 3830
1554042675.474 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (sqrt 2)))
1554042675.474 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) 1)) (/ (- 1 (sqrt k)) (* 2 (sqrt 2)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042675.474 * * * * [progress]: [ 138 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (- (sqrt 1) (sqrt k)) 2) (cbrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042675.474 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) (cbrt 2))
1554042675.474 * * [simplify]: iters left: 6 (9 enodes)
1554042675.477 * * [simplify]: iters left: 5 (36 enodes)
1554042675.484 * * [simplify]: iters left: 4 (62 enodes)
1554042675.494 * * [simplify]: iters left: 3 (78 enodes)
1554042675.513 * * [simplify]: iters left: 2 (90 enodes)
1554042675.539 * * [simplify]: iters left: 1 (94 enodes)
1554042675.552 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042675.552 * * [simplify]: Extracting #1: cost 11 inf + 0
1554042675.553 * * [simplify]: Extracting #2: cost 27 inf + 1
1554042675.553 * * [simplify]: Extracting #3: cost 29 inf + 409
1554042675.553 * * [simplify]: Extracting #4: cost 12 inf + 2359
1554042675.554 * * [simplify]: Extracting #5: cost 2 inf + 4022
1554042675.554 * * [simplify]: Extracting #6: cost 0 inf + 4466
1554042675.555 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) 2))
1554042675.555 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042675.555 * * * * [progress]: [ 139 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (sqrt 2))) (/ (/ (- (sqrt 1) (sqrt k)) 2) (sqrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042675.556 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) (sqrt 2))
1554042675.556 * * [simplify]: iters left: 6 (9 enodes)
1554042675.559 * * [simplify]: iters left: 5 (36 enodes)
1554042675.567 * * [simplify]: iters left: 4 (62 enodes)
1554042675.580 * * [simplify]: iters left: 3 (78 enodes)
1554042675.602 * * [simplify]: iters left: 2 (90 enodes)
1554042675.625 * * [simplify]: iters left: 1 (94 enodes)
1554042675.651 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042675.652 * * [simplify]: Extracting #1: cost 11 inf + 0
1554042675.652 * * [simplify]: Extracting #2: cost 27 inf + 1
1554042675.652 * * [simplify]: Extracting #3: cost 29 inf + 249
1554042675.653 * * [simplify]: Extracting #4: cost 12 inf + 1879
1554042675.654 * * [simplify]: Extracting #5: cost 2 inf + 3302
1554042675.656 * * [simplify]: Extracting #6: cost 0 inf + 3666
1554042675.657 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) 2))
1554042675.657 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (sqrt 2))) (/ (- 1 (sqrt k)) (* (sqrt 2) 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042675.658 * * * * [progress]: [ 140 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) 1)) (/ (/ (- (sqrt 1) (sqrt k)) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042675.658 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) 2)
1554042675.658 * * [simplify]: iters left: 6 (8 enodes)
1554042675.661 * * [simplify]: iters left: 5 (34 enodes)
1554042675.671 * * [simplify]: iters left: 4 (58 enodes)
1554042675.679 * * [simplify]: iters left: 3 (65 enodes)
1554042675.688 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042675.688 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042675.688 * * [simplify]: Extracting #2: cost 14 inf + 3
1554042675.689 * * [simplify]: Extracting #3: cost 17 inf + 5
1554042675.689 * * [simplify]: Extracting #4: cost 12 inf + 292
1554042675.689 * * [simplify]: Extracting #5: cost 1 inf + 1355
1554042675.689 * * [simplify]: Extracting #6: cost 0 inf + 1478
1554042675.690 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 4)
1554042675.690 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) 1)) (/ (- 1 (sqrt k)) 4)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042675.690 * * * * [progress]: [ 141 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 (sqrt k)) (cbrt 2)) (cbrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042675.690 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) (cbrt 2))
1554042675.690 * * [simplify]: iters left: 6 (8 enodes)
1554042675.693 * * [simplify]: iters left: 5 (33 enodes)
1554042675.699 * * [simplify]: iters left: 4 (52 enodes)
1554042675.707 * * [simplify]: iters left: 3 (62 enodes)
1554042675.720 * * [simplify]: iters left: 2 (67 enodes)
1554042675.739 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042675.739 * * [simplify]: Extracting #1: cost 9 inf + 0
1554042675.739 * * [simplify]: Extracting #2: cost 23 inf + 0
1554042675.740 * * [simplify]: Extracting #3: cost 24 inf + 285
1554042675.740 * * [simplify]: Extracting #4: cost 18 inf + 975
1554042675.740 * * [simplify]: Extracting #5: cost 7 inf + 2516
1554042675.741 * * [simplify]: Extracting #6: cost 0 inf + 3891
1554042675.742 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))
1554042675.742 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042675.742 * * * * [progress]: [ 142 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 (sqrt k)) (cbrt 2)) (sqrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042675.742 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) (sqrt 2))
1554042675.742 * * [simplify]: iters left: 6 (9 enodes)
1554042675.746 * * [simplify]: iters left: 5 (36 enodes)
1554042675.752 * * [simplify]: iters left: 4 (58 enodes)
1554042675.762 * * [simplify]: iters left: 3 (75 enodes)
1554042675.776 * * [simplify]: iters left: 2 (87 enodes)
1554042675.795 * * [simplify]: iters left: 1 (91 enodes)
1554042675.808 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042675.809 * * [simplify]: Extracting #1: cost 11 inf + 0
1554042675.809 * * [simplify]: Extracting #2: cost 30 inf + 0
1554042675.809 * * [simplify]: Extracting #3: cost 36 inf + 83
1554042675.809 * * [simplify]: Extracting #4: cost 30 inf + 451
1554042675.809 * * [simplify]: Extracting #5: cost 10 inf + 3649
1554042675.810 * * [simplify]: Extracting #6: cost 0 inf + 5431
1554042675.811 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2)))
1554042675.811 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042675.811 * * * * [progress]: [ 143 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 (sqrt k)) (cbrt 2)) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042675.812 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) 2)
1554042675.812 * * [simplify]: iters left: 6 (8 enodes)
1554042675.814 * * [simplify]: iters left: 5 (33 enodes)
1554042675.820 * * [simplify]: iters left: 4 (55 enodes)
1554042675.830 * * [simplify]: iters left: 3 (73 enodes)
1554042675.841 * * [simplify]: iters left: 2 (84 enodes)
1554042675.854 * * [simplify]: iters left: 1 (87 enodes)
1554042675.875 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042675.875 * * [simplify]: Extracting #1: cost 11 inf + 0
1554042675.875 * * [simplify]: Extracting #2: cost 25 inf + 203
1554042675.875 * * [simplify]: Extracting #3: cost 29 inf + 407
1554042675.876 * * [simplify]: Extracting #4: cost 24 inf + 896
1554042675.877 * * [simplify]: Extracting #5: cost 9 inf + 2805
1554042675.878 * * [simplify]: Extracting #6: cost 0 inf + 4466
1554042675.879 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (cbrt 2)))
1554042675.879 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (- 1 (sqrt k)) (* 2 (cbrt 2)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042675.880 * * * * [progress]: [ 144 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 (sqrt k)) (sqrt 2)) (cbrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042675.880 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) (cbrt 2))
1554042675.880 * * [simplify]: iters left: 6 (9 enodes)
1554042675.885 * * [simplify]: iters left: 5 (36 enodes)
1554042675.893 * * [simplify]: iters left: 4 (58 enodes)
1554042675.902 * * [simplify]: iters left: 3 (75 enodes)
1554042675.914 * * [simplify]: iters left: 2 (87 enodes)
1554042675.936 * * [simplify]: iters left: 1 (91 enodes)
1554042675.961 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042675.961 * * [simplify]: Extracting #1: cost 11 inf + 0
1554042675.961 * * [simplify]: Extracting #2: cost 30 inf + 0
1554042675.961 * * [simplify]: Extracting #3: cost 36 inf + 43
1554042675.962 * * [simplify]: Extracting #4: cost 30 inf + 451
1554042675.963 * * [simplify]: Extracting #5: cost 10 inf + 3769
1554042675.964 * * [simplify]: Extracting #6: cost 0 inf + 5431
1554042675.966 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2)))
1554042675.966 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042675.966 * * * * [progress]: [ 145 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (/ (- 1 (sqrt k)) (sqrt 2)) (sqrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042675.967 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) (sqrt 2))
1554042675.967 * * [simplify]: iters left: 6 (8 enodes)
1554042675.972 * * [simplify]: iters left: 5 (33 enodes)
1554042675.986 * * [simplify]: iters left: 4 (51 enodes)
1554042676.002 * * [simplify]: iters left: 3 (59 enodes)
1554042676.019 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042676.019 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042676.019 * * [simplify]: Extracting #2: cost 15 inf + 43
1554042676.019 * * [simplify]: Extracting #3: cost 19 inf + 85
1554042676.019 * * [simplify]: Extracting #4: cost 16 inf + 250
1554042676.020 * * [simplify]: Extracting #5: cost 5 inf + 1311
1554042676.020 * * [simplify]: Extracting #6: cost 0 inf + 1962
1554042676.021 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2)
1554042676.021 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (- 1 (sqrt k)) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042676.021 * * * * [progress]: [ 146 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) 1)) (/ (/ (- 1 (sqrt k)) (sqrt 2)) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042676.021 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) 2)
1554042676.021 * * [simplify]: iters left: 6 (8 enodes)
1554042676.024 * * [simplify]: iters left: 5 (33 enodes)
1554042676.030 * * [simplify]: iters left: 4 (55 enodes)
1554042676.039 * * [simplify]: iters left: 3 (73 enodes)
1554042676.050 * * [simplify]: iters left: 2 (84 enodes)
1554042676.066 * * [simplify]: iters left: 1 (87 enodes)
1554042676.088 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042676.088 * * [simplify]: Extracting #1: cost 11 inf + 0
1554042676.088 * * [simplify]: Extracting #2: cost 25 inf + 123
1554042676.089 * * [simplify]: Extracting #3: cost 29 inf + 247
1554042676.089 * * [simplify]: Extracting #4: cost 24 inf + 576
1554042676.089 * * [simplify]: Extracting #5: cost 9 inf + 2245
1554042676.090 * * [simplify]: Extracting #6: cost 0 inf + 3666
1554042676.091 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (sqrt 2)))
1554042676.091 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) 1)) (/ (- 1 (sqrt k)) (* 2 (sqrt 2)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042676.091 * * * * [progress]: [ 147 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 (sqrt k)) 2) (cbrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042676.091 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) (cbrt 2))
1554042676.091 * * [simplify]: iters left: 6 (8 enodes)
1554042676.094 * * [simplify]: iters left: 5 (34 enodes)
1554042676.102 * * [simplify]: iters left: 4 (54 enodes)
1554042676.111 * * [simplify]: iters left: 3 (67 enodes)
1554042676.121 * * [simplify]: iters left: 2 (80 enodes)
1554042676.135 * * [simplify]: iters left: 1 (87 enodes)
1554042676.158 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042676.158 * * [simplify]: Extracting #1: cost 11 inf + 0
1554042676.159 * * [simplify]: Extracting #2: cost 25 inf + 203
1554042676.159 * * [simplify]: Extracting #3: cost 26 inf + 773
1554042676.159 * * [simplify]: Extracting #4: cost 24 inf + 896
1554042676.160 * * [simplify]: Extracting #5: cost 8 inf + 3127
1554042676.161 * * [simplify]: Extracting #6: cost 0 inf + 4466
1554042676.163 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) 2))
1554042676.163 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042676.163 * * * * [progress]: [ 148 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (sqrt 2))) (/ (/ (- 1 (sqrt k)) 2) (sqrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042676.163 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) (sqrt 2))
1554042676.164 * * [simplify]: iters left: 6 (8 enodes)
1554042676.169 * * [simplify]: iters left: 5 (34 enodes)
1554042676.181 * * [simplify]: iters left: 4 (54 enodes)
1554042676.199 * * [simplify]: iters left: 3 (67 enodes)
1554042676.219 * * [simplify]: iters left: 2 (80 enodes)
1554042676.244 * * [simplify]: iters left: 1 (87 enodes)
1554042676.267 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042676.267 * * [simplify]: Extracting #1: cost 11 inf + 0
1554042676.268 * * [simplify]: Extracting #2: cost 25 inf + 123
1554042676.268 * * [simplify]: Extracting #3: cost 26 inf + 493
1554042676.268 * * [simplify]: Extracting #4: cost 24 inf + 576
1554042676.269 * * [simplify]: Extracting #5: cost 8 inf + 2527
1554042676.270 * * [simplify]: Extracting #6: cost 0 inf + 3666
1554042676.272 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) 2))
1554042676.272 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (sqrt 2))) (/ (- 1 (sqrt k)) (* (sqrt 2) 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042676.272 * * * * [progress]: [ 149 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042676.273 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) 2)
1554042676.273 * * [simplify]: iters left: 6 (7 enodes)
1554042676.278 * * [simplify]: iters left: 5 (32 enodes)
1554042676.290 * * [simplify]: iters left: 4 (50 enodes)
1554042676.305 * * [simplify]: iters left: 3 (54 enodes)
1554042676.320 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042676.320 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042676.320 * * [simplify]: Extracting #2: cost 13 inf + 3
1554042676.320 * * [simplify]: Extracting #3: cost 15 inf + 5
1554042676.320 * * [simplify]: Extracting #4: cost 14 inf + 6
1554042676.320 * * [simplify]: Extracting #5: cost 4 inf + 825
1554042676.321 * * [simplify]: Extracting #6: cost 0 inf + 1234
1554042676.321 * [simplify]: Simplified to (- 1/4 (/ (sqrt k) 4))
1554042676.322 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 1)) (- 1/4 (/ (sqrt k) 4))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042676.322 * * * * [progress]: [ 150 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (cbrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042676.322 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (cbrt 2))
1554042676.322 * * [simplify]: iters left: 6 (7 enodes)
1554042676.327 * * [simplify]: iters left: 5 (30 enodes)
1554042676.338 * * [simplify]: iters left: 4 (49 enodes)
1554042676.354 * * [simplify]: iters left: 3 (59 enodes)
1554042676.371 * * [simplify]: iters left: 2 (64 enodes)
1554042676.393 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042676.393 * * [simplify]: Extracting #1: cost 9 inf + 0
1554042676.393 * * [simplify]: Extracting #2: cost 23 inf + 0
1554042676.393 * * [simplify]: Extracting #3: cost 24 inf + 3
1554042676.393 * * [simplify]: Extracting #4: cost 15 inf + 980
1554042676.394 * * [simplify]: Extracting #5: cost 1 inf + 3007
1554042676.395 * * [simplify]: Extracting #6: cost 0 inf + 3169
1554042676.396 * [simplify]: Simplified to (/ (- 1 k) (* (cbrt 2) (cbrt 2)))
1554042676.397 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042676.397 * * * * [progress]: [ 151 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042676.397 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))
1554042676.397 * * [simplify]: iters left: 6 (8 enodes)
1554042676.403 * * [simplify]: iters left: 5 (33 enodes)
1554042676.414 * * [simplify]: iters left: 4 (55 enodes)
1554042676.432 * * [simplify]: iters left: 3 (72 enodes)
1554042676.447 * * [simplify]: iters left: 2 (84 enodes)
1554042676.459 * * [simplify]: iters left: 1 (88 enodes)
1554042676.472 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042676.472 * * [simplify]: Extracting #1: cost 11 inf + 0
1554042676.472 * * [simplify]: Extracting #2: cost 30 inf + 0
1554042676.472 * * [simplify]: Extracting #3: cost 33 inf + 84
1554042676.473 * * [simplify]: Extracting #4: cost 12 inf + 2402
1554042676.474 * * [simplify]: Extracting #5: cost 0 inf + 4469
1554042676.474 * [simplify]: Simplified to (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))
1554042676.474 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042676.474 * * * * [progress]: [ 152 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) (cbrt 2)) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042676.475 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) 2)
1554042676.475 * * [simplify]: iters left: 6 (7 enodes)
1554042676.478 * * [simplify]: iters left: 5 (30 enodes)
1554042676.489 * * [simplify]: iters left: 4 (52 enodes)
1554042676.498 * * [simplify]: iters left: 3 (70 enodes)
1554042676.511 * * [simplify]: iters left: 2 (81 enodes)
1554042676.527 * * [simplify]: iters left: 1 (84 enodes)
1554042676.548 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042676.548 * * [simplify]: Extracting #1: cost 11 inf + 0
1554042676.548 * * [simplify]: Extracting #2: cost 25 inf + 203
1554042676.548 * * [simplify]: Extracting #3: cost 25 inf + 530
1554042676.549 * * [simplify]: Extracting #4: cost 4 inf + 2936
1554042676.549 * * [simplify]: Extracting #5: cost 0 inf + 3504
1554042676.550 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (cbrt 2))
1554042676.550 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) 2) (cbrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042676.550 * * * * [progress]: [ 153 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042676.550 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))
1554042676.550 * * [simplify]: iters left: 6 (8 enodes)
1554042676.553 * * [simplify]: iters left: 5 (33 enodes)
1554042676.559 * * [simplify]: iters left: 4 (55 enodes)
1554042676.569 * * [simplify]: iters left: 3 (72 enodes)
1554042676.589 * * [simplify]: iters left: 2 (84 enodes)
1554042676.612 * * [simplify]: iters left: 1 (88 enodes)
1554042676.626 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042676.626 * * [simplify]: Extracting #1: cost 11 inf + 0
1554042676.626 * * [simplify]: Extracting #2: cost 30 inf + 0
1554042676.626 * * [simplify]: Extracting #3: cost 33 inf + 44
1554042676.627 * * [simplify]: Extracting #4: cost 12 inf + 2362
1554042676.627 * * [simplify]: Extracting #5: cost 0 inf + 4469
1554042676.628 * [simplify]: Simplified to (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))
1554042676.628 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042676.629 * * * * [progress]: [ 154 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (sqrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042676.629 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (sqrt 2))
1554042676.629 * * [simplify]: iters left: 6 (7 enodes)
1554042676.631 * * [simplify]: iters left: 5 (30 enodes)
1554042676.637 * * [simplify]: iters left: 4 (48 enodes)
1554042676.645 * * [simplify]: iters left: 3 (56 enodes)
1554042676.656 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042676.656 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042676.656 * * [simplify]: Extracting #2: cost 15 inf + 43
1554042676.656 * * [simplify]: Extracting #3: cost 16 inf + 86
1554042676.656 * * [simplify]: Extracting #4: cost 5 inf + 911
1554042676.657 * * [simplify]: Extracting #5: cost 1 inf + 1198
1554042676.657 * * [simplify]: Extracting #6: cost 0 inf + 1320
1554042676.658 * [simplify]: Simplified to (/ (- 1 k) 2)
1554042676.658 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (- 1 k) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042676.658 * * * * [progress]: [ 155 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) (sqrt 2)) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042676.659 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) 2)
1554042676.659 * * [simplify]: iters left: 6 (7 enodes)
1554042676.663 * * [simplify]: iters left: 5 (30 enodes)
1554042676.673 * * [simplify]: iters left: 4 (52 enodes)
1554042676.690 * * [simplify]: iters left: 3 (70 enodes)
1554042676.711 * * [simplify]: iters left: 2 (81 enodes)
1554042676.730 * * [simplify]: iters left: 1 (84 enodes)
1554042676.743 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042676.743 * * [simplify]: Extracting #1: cost 11 inf + 0
1554042676.743 * * [simplify]: Extracting #2: cost 25 inf + 123
1554042676.743 * * [simplify]: Extracting #3: cost 25 inf + 330
1554042676.744 * * [simplify]: Extracting #4: cost 4 inf + 2256
1554042676.745 * * [simplify]: Extracting #5: cost 0 inf + 2704
1554042676.745 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (sqrt 2))
1554042676.745 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) 2) (sqrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042676.745 * * * * [progress]: [ 156 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) 2) (cbrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042676.746 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2))
1554042676.746 * * [simplify]: iters left: 6 (7 enodes)
1554042676.749 * * [simplify]: iters left: 5 (31 enodes)
1554042676.754 * * [simplify]: iters left: 4 (51 enodes)
1554042676.763 * * [simplify]: iters left: 3 (64 enodes)
1554042676.776 * * [simplify]: iters left: 2 (77 enodes)
1554042676.793 * * [simplify]: iters left: 1 (84 enodes)
1554042676.805 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042676.805 * * [simplify]: Extracting #1: cost 11 inf + 0
1554042676.805 * * [simplify]: Extracting #2: cost 26 inf + 82
1554042676.805 * * [simplify]: Extracting #3: cost 24 inf + 692
1554042676.805 * * [simplify]: Extracting #4: cost 3 inf + 3057
1554042676.806 * * [simplify]: Extracting #5: cost 0 inf + 3504
1554042676.807 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2)))
1554042676.807 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042676.807 * * * * [progress]: [ 157 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) (/ (/ (- 1 k) 2) (sqrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042676.807 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2))
1554042676.807 * * [simplify]: iters left: 6 (7 enodes)
1554042676.810 * * [simplify]: iters left: 5 (31 enodes)
1554042676.815 * * [simplify]: iters left: 4 (51 enodes)
1554042676.825 * * [simplify]: iters left: 3 (64 enodes)
1554042676.847 * * [simplify]: iters left: 2 (77 enodes)
1554042676.869 * * [simplify]: iters left: 1 (84 enodes)
1554042676.892 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042676.892 * * [simplify]: Extracting #1: cost 11 inf + 0
1554042676.892 * * [simplify]: Extracting #2: cost 26 inf + 42
1554042676.893 * * [simplify]: Extracting #3: cost 24 inf + 452
1554042676.893 * * [simplify]: Extracting #4: cost 3 inf + 2337
1554042676.895 * * [simplify]: Extracting #5: cost 0 inf + 2704
1554042676.896 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2)))
1554042676.896 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042676.896 * * * * [progress]: [ 158 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042676.896 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2)
1554042676.896 * * [simplify]: iters left: 6 (6 enodes)
1554042676.901 * * [simplify]: iters left: 5 (29 enodes)
1554042676.913 * * [simplify]: iters left: 4 (44 enodes)
1554042676.925 * * [simplify]: iters left: 3 (50 enodes)
1554042676.940 * * [simplify]: iters left: 2 (57 enodes)
1554042676.955 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042676.955 * * [simplify]: Extracting #1: cost 9 inf + 0
1554042676.955 * * [simplify]: Extracting #2: cost 15 inf + 3
1554042676.955 * * [simplify]: Extracting #3: cost 11 inf + 131
1554042676.955 * * [simplify]: Extracting #4: cost 2 inf + 711
1554042676.955 * * [simplify]: Extracting #5: cost 0 inf + 836
1554042676.956 * [simplify]: Simplified to (- 1/4 (/ k 4))
1554042676.956 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) (- 1/4 (/ k 4))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042676.956 * * * * [progress]: [ 159 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) 2) (cbrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042676.956 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2))
1554042676.956 * * [simplify]: iters left: 6 (7 enodes)
1554042676.959 * * [simplify]: iters left: 5 (31 enodes)
1554042676.964 * * [simplify]: iters left: 4 (51 enodes)
1554042676.973 * * [simplify]: iters left: 3 (64 enodes)
1554042676.990 * * [simplify]: iters left: 2 (77 enodes)
1554042677.012 * * [simplify]: iters left: 1 (84 enodes)
1554042677.034 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042677.034 * * [simplify]: Extracting #1: cost 11 inf + 0
1554042677.034 * * [simplify]: Extracting #2: cost 26 inf + 82
1554042677.035 * * [simplify]: Extracting #3: cost 24 inf + 692
1554042677.035 * * [simplify]: Extracting #4: cost 3 inf + 3057
1554042677.037 * * [simplify]: Extracting #5: cost 0 inf + 3504
1554042677.038 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2)))
1554042677.038 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042677.038 * * * * [progress]: [ 160 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (/ (- 1 k) 2) (sqrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042677.039 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2))
1554042677.039 * * [simplify]: iters left: 6 (7 enodes)
1554042677.044 * * [simplify]: iters left: 5 (31 enodes)
1554042677.055 * * [simplify]: iters left: 4 (51 enodes)
1554042677.066 * * [simplify]: iters left: 3 (64 enodes)
1554042677.076 * * [simplify]: iters left: 2 (77 enodes)
1554042677.087 * * [simplify]: iters left: 1 (84 enodes)
1554042677.107 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042677.107 * * [simplify]: Extracting #1: cost 11 inf + 0
1554042677.107 * * [simplify]: Extracting #2: cost 26 inf + 42
1554042677.107 * * [simplify]: Extracting #3: cost 24 inf + 452
1554042677.108 * * [simplify]: Extracting #4: cost 3 inf + 2337
1554042677.112 * * [simplify]: Extracting #5: cost 0 inf + 2704
1554042677.113 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2)))
1554042677.113 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042677.113 * * * * [progress]: [ 161 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042677.114 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2)
1554042677.114 * * [simplify]: iters left: 6 (6 enodes)
1554042677.119 * * [simplify]: iters left: 5 (29 enodes)
1554042677.129 * * [simplify]: iters left: 4 (44 enodes)
1554042677.137 * * [simplify]: iters left: 3 (50 enodes)
1554042677.145 * * [simplify]: iters left: 2 (57 enodes)
1554042677.154 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042677.154 * * [simplify]: Extracting #1: cost 9 inf + 0
1554042677.154 * * [simplify]: Extracting #2: cost 15 inf + 3
1554042677.154 * * [simplify]: Extracting #3: cost 11 inf + 131
1554042677.154 * * [simplify]: Extracting #4: cost 2 inf + 711
1554042677.154 * * [simplify]: Extracting #5: cost 0 inf + 836
1554042677.155 * [simplify]: Simplified to (- 1/4 (/ k 4))
1554042677.155 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 1)) (- 1/4 (/ k 4))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042677.155 * * * * [progress]: [ 162 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) (/ (/ 1 2) (cbrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042677.155 * [simplify]: Simplifying (/ (/ 1 2) (cbrt 2))
1554042677.155 * * [simplify]: iters left: 4 (5 enodes)
1554042677.157 * * [simplify]: iters left: 3 (20 enodes)
1554042677.161 * * [simplify]: iters left: 2 (27 enodes)
1554042677.166 * * [simplify]: iters left: 1 (29 enodes)
1554042677.176 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042677.176 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042677.177 * * [simplify]: Extracting #2: cost 4 inf + 449
1554042677.177 * * [simplify]: Extracting #3: cost 0 inf + 895
1554042677.177 * [simplify]: Simplified to (/ 1/2 (cbrt 2))
1554042677.177 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) (/ 1/2 (cbrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042677.177 * * * * [progress]: [ 163 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (- 1 k) (sqrt 2))) (/ (/ 1 2) (sqrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042677.178 * [simplify]: Simplifying (/ (/ 1 2) (sqrt 2))
1554042677.178 * * [simplify]: iters left: 4 (5 enodes)
1554042677.182 * * [simplify]: iters left: 3 (20 enodes)
1554042677.189 * * [simplify]: iters left: 2 (27 enodes)
1554042677.197 * * [simplify]: iters left: 1 (29 enodes)
1554042677.207 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042677.207 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042677.207 * * [simplify]: Extracting #2: cost 4 inf + 289
1554042677.207 * * [simplify]: Extracting #3: cost 0 inf + 575
1554042677.208 * [simplify]: Simplified to (/ 1/2 (sqrt 2))
1554042677.208 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (- 1 k) (sqrt 2))) (/ 1/2 (sqrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042677.208 * * * * [progress]: [ 164 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (- 1 k) 1)) (/ (/ 1 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042677.208 * [simplify]: Simplifying (/ (/ 1 2) 2)
1554042677.208 * * [simplify]: iters left: 4 (4 enodes)
1554042677.213 * * [simplify]: iters left: 3 (19 enodes)
1554042677.220 * * [simplify]: iters left: 2 (23 enodes)
1554042677.227 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042677.227 * * [simplify]: Extracting #1: cost 0 inf + 1
1554042677.228 * [simplify]: Simplified to 1/4
1554042677.228 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (- 1 k) 1)) 1/4) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042677.228 * * * * [progress]: [ 165 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) 1) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042677.228 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2)
1554042677.228 * * [simplify]: iters left: 6 (6 enodes)
1554042677.233 * * [simplify]: iters left: 5 (29 enodes)
1554042677.245 * * [simplify]: iters left: 4 (44 enodes)
1554042677.259 * * [simplify]: iters left: 3 (50 enodes)
1554042677.274 * * [simplify]: iters left: 2 (57 enodes)
1554042677.290 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042677.290 * * [simplify]: Extracting #1: cost 9 inf + 0
1554042677.290 * * [simplify]: Extracting #2: cost 15 inf + 3
1554042677.290 * * [simplify]: Extracting #3: cost 11 inf + 131
1554042677.291 * * [simplify]: Extracting #4: cost 2 inf + 711
1554042677.291 * * [simplify]: Extracting #5: cost 0 inf + 836
1554042677.292 * [simplify]: Simplified to (- 1/4 (/ k 4))
1554042677.292 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) 1) (- 1/4 (/ k 4))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042677.292 * * * * [progress]: [ 166 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042677.292 * [simplify]: Simplifying (/ 1 2)
1554042677.292 * * [simplify]: iters left: 2 (3 enodes)
1554042677.295 * * [simplify]: iters left: 1 (12 enodes)
1554042677.300 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042677.300 * * [simplify]: Extracting #1: cost 0 inf + 1
1554042677.300 * [simplify]: Simplified to 1/2
1554042677.300 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1/2) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042677.300 * * * * [progress]: [ 167 / 226 ] simplifiying candidate #<alt (λ (k n) (* (* (pow n (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042677.300 * [simplify]: Simplifying (pow n (/ (/ (- 1 k) 2) 2))
1554042677.300 * * [simplify]: iters left: 6 (8 enodes)
1554042677.305 * * [simplify]: iters left: 5 (38 enodes)
1554042677.314 * * [simplify]: iters left: 4 (66 enodes)
1554042677.326 * * [simplify]: iters left: 3 (110 enodes)
1554042677.358 * * [simplify]: iters left: 2 (200 enodes)
1554042677.442 * * [simplify]: iters left: 1 (403 enodes)
1554042677.638 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042677.638 * * [simplify]: Extracting #1: cost 26 inf + 0
1554042677.638 * * [simplify]: Extracting #2: cost 100 inf + 2
1554042677.639 * * [simplify]: Extracting #3: cost 164 inf + 10
1554042677.641 * * [simplify]: Extracting #4: cost 157 inf + 1472
1554042677.648 * * [simplify]: Extracting #5: cost 64 inf + 19273
1554042677.662 * * [simplify]: Extracting #6: cost 8 inf + 47461
1554042677.680 * * [simplify]: Extracting #7: cost 0 inf + 52807
1554042677.697 * [simplify]: Simplified to (pow n (- 1/4 (/ k 4)))
1554042677.697 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (pow n (- 1/4 (/ k 4))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042677.697 * * * * [progress]: [ 168 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042677.697 * * * * [progress]: [ 169 / 226 ] simplifiying candidate #<alt (λ (k n) (* (exp (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042677.697 * * * * [progress]: [ 170 / 226 ] simplifiying candidate #<alt (λ (k n) (* (log (exp (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042677.697 * * * * [progress]: [ 171 / 226 ] simplifiying candidate #<alt (λ (k n) (* (* (* (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042677.697 * * * * [progress]: [ 172 / 226 ] simplifiying candidate #<alt (λ (k n) (* (cbrt (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042677.697 * * * * [progress]: [ 173 / 226 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042677.697 * * * * [progress]: [ 174 / 226 ] simplifiying candidate #<alt (λ (k n) (* (* 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042677.698 * * * * [progress]: [ 175 / 226 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042677.698 * * * * [progress]: [ 176 / 226 ] simplifiying candidate #<alt (λ (k n) (* (posit16->real (real->posit16 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042677.698 * * * * [progress]: [ 177 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) 1) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042677.698 * [simplify]: Simplifying (* n (* 2 PI))
1554042677.698 * * [simplify]: iters left: 4 (5 enodes)
1554042677.701 * * [simplify]: iters left: 3 (19 enodes)
1554042677.707 * * [simplify]: iters left: 2 (27 enodes)
1554042677.715 * * [simplify]: iters left: 1 (32 enodes)
1554042677.722 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042677.722 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042677.722 * * [simplify]: Extracting #2: cost 7 inf + 45
1554042677.722 * * [simplify]: Extracting #3: cost 0 inf + 421
1554042677.722 * [simplify]: Simplified to (* (* PI 2) n)
1554042677.722 * [simplify]: Simplified (2 2 1 1 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* (* PI 2) n) 1) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042677.723 * * * * [progress]: [ 178 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) 1) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042677.723 * [simplify]: Simplifying (* n (* 2 PI))
1554042677.723 * * [simplify]: iters left: 4 (5 enodes)
1554042677.724 * * [simplify]: iters left: 3 (19 enodes)
1554042677.728 * * [simplify]: iters left: 2 (27 enodes)
1554042677.732 * * [simplify]: iters left: 1 (32 enodes)
1554042677.738 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042677.739 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042677.739 * * [simplify]: Extracting #2: cost 7 inf + 45
1554042677.739 * * [simplify]: Extracting #3: cost 0 inf + 421
1554042677.739 * [simplify]: Simplified to (* (* PI 2) n)
1554042677.739 * [simplify]: Simplified (2 2 1 1 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* (* PI 2) n) 1) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042677.739 * * * * [progress]: [ 179 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) 1) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042677.739 * * * * [progress]: [ 180 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042677.739 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI)))
1554042677.739 * * [simplify]: iters left: 5 (8 enodes)
1554042677.742 * * [simplify]: iters left: 4 (28 enodes)
1554042677.747 * * [simplify]: iters left: 3 (36 enodes)
1554042677.758 * * [simplify]: iters left: 2 (42 enodes)
1554042677.767 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042677.767 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042677.767 * * [simplify]: Extracting #2: cost 17 inf + 0
1554042677.767 * * [simplify]: Extracting #3: cost 12 inf + 145
1554042677.768 * * [simplify]: Extracting #4: cost 5 inf + 1197
1554042677.768 * * [simplify]: Extracting #5: cost 1 inf + 1925
1554042677.768 * * [simplify]: Extracting #6: cost 0 inf + 2107
1554042677.768 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI)))
1554042677.769 * [simplify]: Simplified (2 2 1 1 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042677.769 * * * * [progress]: [ 181 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (exp (+ (log n) (log (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042677.769 * [simplify]: Simplifying (+ (log n) (log (* 2 PI)))
1554042677.769 * * [simplify]: iters left: 5 (7 enodes)
1554042677.771 * * [simplify]: iters left: 4 (26 enodes)
1554042677.775 * * [simplify]: iters left: 3 (35 enodes)
1554042677.781 * * [simplify]: iters left: 2 (44 enodes)
1554042677.787 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042677.787 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042677.787 * * [simplify]: Extracting #2: cost 18 inf + 0
1554042677.787 * * [simplify]: Extracting #3: cost 15 inf + 74
1554042677.787 * * [simplify]: Extracting #4: cost 8 inf + 554
1554042677.787 * * [simplify]: Extracting #5: cost 0 inf + 1911
1554042677.788 * [simplify]: Simplified to (+ (log n) (log (* 2 PI)))
1554042677.788 * [simplify]: Simplified (2 2 1 1 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (exp (+ (log n) (log (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042677.788 * * * * [progress]: [ 182 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (exp (log (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042677.788 * * * * [progress]: [ 183 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (log (exp (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042677.788 * * * * [progress]: [ 184 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (cbrt (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI)))) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042677.788 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI)))
1554042677.788 * * [simplify]: iters left: 6 (11 enodes)
1554042677.792 * * [simplify]: iters left: 5 (48 enodes)
1554042677.812 * * [simplify]: iters left: 4 (121 enodes)
1554042677.848 * * [simplify]: iters left: 3 (348 enodes)
1554042678.090 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042678.090 * * [simplify]: Extracting #1: cost 67 inf + 0
1554042678.092 * * [simplify]: Extracting #2: cost 165 inf + 786
1554042678.097 * * [simplify]: Extracting #3: cost 85 inf + 10177
1554042678.103 * * [simplify]: Extracting #4: cost 9 inf + 26399
1554042678.112 * * [simplify]: Extracting #5: cost 0 inf + 28546
1554042678.118 * * [simplify]: Extracting #6: cost 0 inf + 28506
1554042678.124 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI))
1554042678.125 * [simplify]: Simplified (2 2 1 1 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (cbrt (* (* (* (* n PI) (* n PI)) 8) (* n PI))) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042678.125 * * * * [progress]: [ 185 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (cbrt (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042678.125 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))
1554042678.125 * * [simplify]: iters left: 6 (9 enodes)
1554042678.131 * * [simplify]: iters left: 5 (45 enodes)
1554042678.143 * * [simplify]: iters left: 4 (117 enodes)
1554042678.187 * * [simplify]: iters left: 3 (374 enodes)
1554042678.506 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042678.506 * * [simplify]: Extracting #1: cost 77 inf + 0
1554042678.508 * * [simplify]: Extracting #2: cost 184 inf + 984
1554042678.516 * * [simplify]: Extracting #3: cost 106 inf + 11690
1554042678.537 * * [simplify]: Extracting #4: cost 6 inf + 30376
1554042678.556 * * [simplify]: Extracting #5: cost 0 inf + 31644
1554042678.574 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n))
1554042678.575 * [simplify]: Simplified (2 2 1 1 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042678.575 * * * * [progress]: [ 186 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042678.575 * * * * [progress]: [ 187 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (cbrt (* (* (* n (* 2 PI)) (* n (* 2 PI))) (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042678.575 * * * * [progress]: [ 188 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (* (sqrt (* n (* 2 PI))) (sqrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042678.575 * * * * [progress]: [ 189 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (* 1 (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042678.575 * * * * [progress]: [ 190 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (* (* n 2) PI) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042678.575 * * * * [progress]: [ 191 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042678.576 * [simplify]: Simplifying (* (cbrt n) (cbrt n))
1554042678.576 * * [simplify]: iters left: 3 (3 enodes)
1554042678.577 * * [simplify]: iters left: 2 (9 enodes)
1554042678.580 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042678.580 * * [simplify]: Extracting #1: cost 3 inf + 0
1554042678.580 * * [simplify]: Extracting #2: cost 5 inf + 0
1554042678.580 * * [simplify]: Extracting #3: cost 4 inf + 1
1554042678.580 * * [simplify]: Extracting #4: cost 0 inf + 405
1554042678.580 * [simplify]: Simplified to (* (cbrt n) (cbrt n))
1554042678.580 * [simplify]: Simplified (2 2 1 1 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042678.580 * * * * [progress]: [ 192 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042678.580 * [simplify]: Simplifying (sqrt n)
1554042678.581 * * [simplify]: iters left: 1 (2 enodes)
1554042678.581 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042678.581 * * [simplify]: Extracting #1: cost 3 inf + 0
1554042678.581 * * [simplify]: Extracting #2: cost 2 inf + 1
1554042678.582 * * [simplify]: Extracting #3: cost 0 inf + 83
1554042678.582 * [simplify]: Simplified to (sqrt n)
1554042678.582 * [simplify]: Simplified (2 2 1 1 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042678.582 * * * * [progress]: [ 193 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (* 1 (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042678.582 * * * * [progress]: [ 194 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (posit16->real (real->posit16 (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042678.582 * * * * [progress]: [ 195 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042678.582 * * * * [progress]: [ 196 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) 1) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042678.582 * [simplify]: Simplifying (* n (* 2 PI))
1554042678.582 * * [simplify]: iters left: 4 (5 enodes)
1554042678.585 * * [simplify]: iters left: 3 (19 enodes)
1554042678.592 * * [simplify]: iters left: 2 (27 enodes)
1554042678.600 * * [simplify]: iters left: 1 (32 enodes)
1554042678.608 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042678.608 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042678.608 * * [simplify]: Extracting #2: cost 7 inf + 45
1554042678.608 * * [simplify]: Extracting #3: cost 0 inf + 421
1554042678.608 * [simplify]: Simplified to (* (* PI 2) n)
1554042678.608 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) 1) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042678.608 * * * * [progress]: [ 197 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) 1) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042678.609 * [simplify]: Simplifying (* n (* 2 PI))
1554042678.609 * * [simplify]: iters left: 4 (5 enodes)
1554042678.612 * * [simplify]: iters left: 3 (19 enodes)
1554042678.617 * * [simplify]: iters left: 2 (27 enodes)
1554042678.625 * * [simplify]: iters left: 1 (32 enodes)
1554042678.633 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042678.633 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042678.633 * * [simplify]: Extracting #2: cost 7 inf + 45
1554042678.634 * * [simplify]: Extracting #3: cost 0 inf + 421
1554042678.634 * [simplify]: Simplified to (* (* PI 2) n)
1554042678.634 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) 1) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042678.634 * * * * [progress]: [ 198 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) 1) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042678.634 * * * * [progress]: [ 199 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042678.635 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI)))
1554042678.635 * * [simplify]: iters left: 5 (8 enodes)
1554042678.640 * * [simplify]: iters left: 4 (28 enodes)
1554042678.649 * * [simplify]: iters left: 3 (36 enodes)
1554042678.661 * * [simplify]: iters left: 2 (42 enodes)
1554042678.672 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042678.672 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042678.672 * * [simplify]: Extracting #2: cost 17 inf + 0
1554042678.672 * * [simplify]: Extracting #3: cost 12 inf + 145
1554042678.673 * * [simplify]: Extracting #4: cost 5 inf + 1197
1554042678.673 * * [simplify]: Extracting #5: cost 1 inf + 1925
1554042678.674 * * [simplify]: Extracting #6: cost 0 inf + 2107
1554042678.674 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI)))
1554042678.675 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042678.675 * * * * [progress]: [ 200 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (exp (+ (log n) (log (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042678.675 * [simplify]: Simplifying (+ (log n) (log (* 2 PI)))
1554042678.675 * * [simplify]: iters left: 5 (7 enodes)
1554042678.681 * * [simplify]: iters left: 4 (26 enodes)
1554042678.685 * * [simplify]: iters left: 3 (35 enodes)
1554042678.690 * * [simplify]: iters left: 2 (44 enodes)
1554042678.696 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042678.696 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042678.697 * * [simplify]: Extracting #2: cost 18 inf + 0
1554042678.697 * * [simplify]: Extracting #3: cost 15 inf + 74
1554042678.697 * * [simplify]: Extracting #4: cost 8 inf + 554
1554042678.697 * * [simplify]: Extracting #5: cost 0 inf + 1911
1554042678.697 * [simplify]: Simplified to (+ (log n) (log (* 2 PI)))
1554042678.697 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (exp (+ (log n) (log (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042678.698 * * * * [progress]: [ 201 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (exp (log (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042678.698 * * * * [progress]: [ 202 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (log (exp (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042678.698 * * * * [progress]: [ 203 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (cbrt (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI)))) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042678.698 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI)))
1554042678.698 * * [simplify]: iters left: 6 (11 enodes)
1554042678.702 * * [simplify]: iters left: 5 (48 enodes)
1554042678.718 * * [simplify]: iters left: 4 (121 enodes)
1554042678.778 * * [simplify]: iters left: 3 (348 enodes)
1554042678.955 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042678.955 * * [simplify]: Extracting #1: cost 67 inf + 0
1554042678.956 * * [simplify]: Extracting #2: cost 165 inf + 786
1554042678.958 * * [simplify]: Extracting #3: cost 85 inf + 10177
1554042678.964 * * [simplify]: Extracting #4: cost 9 inf + 26399
1554042678.971 * * [simplify]: Extracting #5: cost 0 inf + 28546
1554042678.978 * * [simplify]: Extracting #6: cost 0 inf + 28506
1554042678.984 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI))
1554042678.984 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (cbrt (* (* (* (* n PI) (* n PI)) 8) (* n PI))) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042678.985 * * * * [progress]: [ 204 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (cbrt (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042678.985 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))
1554042678.985 * * [simplify]: iters left: 6 (9 enodes)
1554042678.988 * * [simplify]: iters left: 5 (45 enodes)
1554042679.001 * * [simplify]: iters left: 4 (117 enodes)
1554042679.035 * * [simplify]: iters left: 3 (374 enodes)
1554042679.309 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042679.309 * * [simplify]: Extracting #1: cost 77 inf + 0
1554042679.311 * * [simplify]: Extracting #2: cost 184 inf + 984
1554042679.317 * * [simplify]: Extracting #3: cost 106 inf + 11690
1554042679.335 * * [simplify]: Extracting #4: cost 6 inf + 30376
1554042679.352 * * [simplify]: Extracting #5: cost 0 inf + 31644
1554042679.371 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n))
1554042679.371 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042679.371 * * * * [progress]: [ 205 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042679.371 * * * * [progress]: [ 206 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (cbrt (* (* (* n (* 2 PI)) (* n (* 2 PI))) (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042679.371 * * * * [progress]: [ 207 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (sqrt (* n (* 2 PI))) (sqrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042679.371 * * * * [progress]: [ 208 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 1 (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042679.371 * * * * [progress]: [ 209 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* n 2) PI) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042679.371 * * * * [progress]: [ 210 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042679.372 * [simplify]: Simplifying (* (cbrt n) (cbrt n))
1554042679.372 * * [simplify]: iters left: 3 (3 enodes)
1554042679.373 * * [simplify]: iters left: 2 (9 enodes)
1554042679.375 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042679.376 * * [simplify]: Extracting #1: cost 3 inf + 0
1554042679.376 * * [simplify]: Extracting #2: cost 5 inf + 0
1554042679.376 * * [simplify]: Extracting #3: cost 4 inf + 1
1554042679.376 * * [simplify]: Extracting #4: cost 0 inf + 405
1554042679.376 * [simplify]: Simplified to (* (cbrt n) (cbrt n))
1554042679.376 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042679.376 * * * * [progress]: [ 211 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042679.376 * [simplify]: Simplifying (sqrt n)
1554042679.376 * * [simplify]: iters left: 1 (2 enodes)
1554042679.377 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042679.377 * * [simplify]: Extracting #1: cost 3 inf + 0
1554042679.377 * * [simplify]: Extracting #2: cost 2 inf + 1
1554042679.377 * * [simplify]: Extracting #3: cost 0 inf + 83
1554042679.377 * [simplify]: Simplified to (sqrt n)
1554042679.377 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042679.378 * * * * [progress]: [ 212 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 1 (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042679.378 * * * * [progress]: [ 213 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (posit16->real (real->posit16 (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042679.378 * * * * [progress]: [ 214 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042679.378 * * * * [progress]: [ 215 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (- (+ (* 1/16 (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/32 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/4 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/4 (* k (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI))))))) (pow k -1/2))))>
1554042679.378 * [simplify]: Simplifying (- (+ (* 1/16 (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/32 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/4 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/4 (* k (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))))))
1554042679.379 * * [simplify]: iters left: 6 (37 enodes)
1554042679.400 * * [simplify]: iters left: 5 (190 enodes)
1554042679.478 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042679.478 * * [simplify]: Extracting #1: cost 18 inf + 0
1554042679.479 * * [simplify]: Extracting #2: cost 85 inf + 0
1554042679.479 * * [simplify]: Extracting #3: cost 169 inf + 45
1554042679.481 * * [simplify]: Extracting #4: cost 194 inf + 581
1554042679.485 * * [simplify]: Extracting #5: cost 128 inf + 18118
1554042679.505 * * [simplify]: Extracting #6: cost 27 inf + 64733
1554042679.537 * * [simplify]: Extracting #7: cost 1 inf + 82414
1554042679.553 * * [simplify]: Extracting #8: cost 0 inf + 81915
1554042679.578 * * [simplify]: Extracting #9: cost 0 inf + 81594
1554042679.595 * [simplify]: Simplified to (+ (+ (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (* (log (* PI 2)) 1/16) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (* k k) (log n))))) (- (* 1/32 (* (* k k) (+ (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (log (* PI 2)) (log (* PI 2))))))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/4))))) 1/4)))
1554042679.595 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (+ (+ (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (* (log (* PI 2)) 1/16) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (* k k) (log n))))) (- (* 1/32 (* (* k k) (+ (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (log (* PI 2)) (log (* PI 2))))))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/4))))) 1/4))) (pow k -1/2))))
1554042679.595 * * * * [progress]: [ 216 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k -1/2))))>
1554042679.596 * [simplify]: Simplifying (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
1554042679.596 * * [simplify]: iters left: 6 (15 enodes)
1554042679.601 * * [simplify]: iters left: 5 (65 enodes)
1554042679.616 * * [simplify]: iters left: 4 (123 enodes)
1554042679.669 * * [simplify]: iters left: 3 (360 enodes)
1554042679.793 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042679.793 * * [simplify]: Extracting #1: cost 37 inf + 0
1554042679.794 * * [simplify]: Extracting #2: cost 214 inf + 1
1554042679.797 * * [simplify]: Extracting #3: cost 351 inf + 1827
1554042679.806 * * [simplify]: Extracting #4: cost 217 inf + 29927
1554042679.836 * * [simplify]: Extracting #5: cost 35 inf + 80289
1554042679.863 * * [simplify]: Extracting #6: cost 0 inf + 89737
1554042679.879 * * [simplify]: Extracting #7: cost 0 inf + 88848
1554042679.894 * * [simplify]: Extracting #8: cost 0 inf + 88843
1554042679.911 * [simplify]: Simplified to (exp (* (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)) 1/4))
1554042679.911 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (exp (* (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)) 1/4)) (pow k -1/2))))
1554042679.911 * * * * [progress]: [ 217 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k -1/2))))>
1554042679.911 * [simplify]: Simplifying (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
1554042679.912 * * [simplify]: iters left: 6 (16 enodes)
1554042679.921 * * [simplify]: iters left: 5 (67 enodes)
1554042679.939 * * [simplify]: iters left: 4 (134 enodes)
1554042679.974 * * [simplify]: iters left: 3 (406 enodes)
1554042680.186 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042680.186 * * [simplify]: Extracting #1: cost 39 inf + 0
1554042680.187 * * [simplify]: Extracting #2: cost 241 inf + 72
1554042680.190 * * [simplify]: Extracting #3: cost 449 inf + 888
1554042680.201 * * [simplify]: Extracting #4: cost 276 inf + 41470
1554042680.241 * * [simplify]: Extracting #5: cost 21 inf + 115189
1554042680.263 * * [simplify]: Extracting #6: cost 0 inf + 121987
1554042680.301 * * [simplify]: Extracting #7: cost 0 inf + 121985
1554042680.344 * [simplify]: Simplified to (exp (* (- 1/4 (* 1/4 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
1554042680.344 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (exp (* (- 1/4 (* 1/4 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k -1/2))))
1554042680.344 * * * * [progress]: [ 218 / 226 ] simplifiying candidate #<alt (λ (k n) (* (- (+ (* 1/16 (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/32 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/4 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/4 (* k (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI))))))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042680.345 * [simplify]: Simplifying (- (+ (* 1/16 (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/32 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/4 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/4 (* k (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))))))
1554042680.345 * * [simplify]: iters left: 6 (37 enodes)
1554042680.362 * * [simplify]: iters left: 5 (190 enodes)
1554042680.422 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042680.422 * * [simplify]: Extracting #1: cost 18 inf + 0
1554042680.423 * * [simplify]: Extracting #2: cost 85 inf + 0
1554042680.423 * * [simplify]: Extracting #3: cost 169 inf + 45
1554042680.425 * * [simplify]: Extracting #4: cost 194 inf + 581
1554042680.430 * * [simplify]: Extracting #5: cost 128 inf + 18118
1554042680.448 * * [simplify]: Extracting #6: cost 27 inf + 64733
1554042680.467 * * [simplify]: Extracting #7: cost 1 inf + 82414
1554042680.485 * * [simplify]: Extracting #8: cost 0 inf + 81915
1554042680.515 * * [simplify]: Extracting #9: cost 0 inf + 81594
1554042680.535 * [simplify]: Simplified to (+ (+ (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (* (log (* PI 2)) 1/16) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (* k k) (log n))))) (- (* 1/32 (* (* k k) (+ (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (log (* PI 2)) (log (* PI 2))))))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/4))))) 1/4)))
1554042680.535 * [simplify]: Simplified (2 1) to (λ (k n) (* (+ (+ (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (* (log (* PI 2)) 1/16) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (* k k) (log n))))) (- (* 1/32 (* (* k k) (+ (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (log (* PI 2)) (log (* PI 2))))))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/4))))) 1/4))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042680.536 * * * * [progress]: [ 219 / 226 ] simplifiying candidate #<alt (λ (k n) (* (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042680.536 * [simplify]: Simplifying (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
1554042680.536 * * [simplify]: iters left: 6 (15 enodes)
1554042680.546 * * [simplify]: iters left: 5 (65 enodes)
1554042680.562 * * [simplify]: iters left: 4 (123 enodes)
1554042680.604 * * [simplify]: iters left: 3 (360 enodes)
1554042680.803 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042680.803 * * [simplify]: Extracting #1: cost 37 inf + 0
1554042680.804 * * [simplify]: Extracting #2: cost 214 inf + 1
1554042680.806 * * [simplify]: Extracting #3: cost 351 inf + 1827
1554042680.815 * * [simplify]: Extracting #4: cost 217 inf + 29927
1554042680.841 * * [simplify]: Extracting #5: cost 35 inf + 80289
1554042680.856 * * [simplify]: Extracting #6: cost 0 inf + 89737
1554042680.879 * * [simplify]: Extracting #7: cost 0 inf + 88848
1554042680.899 * * [simplify]: Extracting #8: cost 0 inf + 88843
1554042680.915 * [simplify]: Simplified to (exp (* (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)) 1/4))
1554042680.915 * [simplify]: Simplified (2 1) to (λ (k n) (* (exp (* (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)) 1/4)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042680.915 * * * * [progress]: [ 220 / 226 ] simplifiying candidate #<alt (λ (k n) (* (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042680.915 * [simplify]: Simplifying (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
1554042680.915 * * [simplify]: iters left: 6 (16 enodes)
1554042680.923 * * [simplify]: iters left: 5 (67 enodes)
1554042680.941 * * [simplify]: iters left: 4 (134 enodes)
1554042680.983 * * [simplify]: iters left: 3 (406 enodes)
1554042681.217 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042681.217 * * [simplify]: Extracting #1: cost 39 inf + 0
1554042681.218 * * [simplify]: Extracting #2: cost 241 inf + 72
1554042681.219 * * [simplify]: Extracting #3: cost 449 inf + 888
1554042681.225 * * [simplify]: Extracting #4: cost 276 inf + 41470
1554042681.255 * * [simplify]: Extracting #5: cost 21 inf + 115189
1554042681.287 * * [simplify]: Extracting #6: cost 0 inf + 121987
1554042681.313 * * [simplify]: Extracting #7: cost 0 inf + 121985
1554042681.355 * [simplify]: Simplified to (exp (* (- 1/4 (* 1/4 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
1554042681.355 * [simplify]: Simplified (2 1) to (λ (k n) (* (exp (* (- 1/4 (* 1/4 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042681.356 * * * * [progress]: [ 221 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 (* n PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042681.356 * [simplify]: Simplifying (* 2 (* n PI))
1554042681.356 * * [simplify]: iters left: 4 (5 enodes)
1554042681.359 * * [simplify]: iters left: 3 (19 enodes)
1554042681.362 * * [simplify]: iters left: 2 (27 enodes)
1554042681.366 * * [simplify]: iters left: 1 (32 enodes)
1554042681.371 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042681.371 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042681.371 * * [simplify]: Extracting #2: cost 7 inf + 45
1554042681.371 * * [simplify]: Extracting #3: cost 0 inf + 421
1554042681.371 * [simplify]: Simplified to (* (* PI n) 2)
1554042681.371 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042681.371 * * * * [progress]: [ 222 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 (* n PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042681.371 * [simplify]: Simplifying (* 2 (* n PI))
1554042681.371 * * [simplify]: iters left: 4 (5 enodes)
1554042681.373 * * [simplify]: iters left: 3 (19 enodes)
1554042681.376 * * [simplify]: iters left: 2 (27 enodes)
1554042681.381 * * [simplify]: iters left: 1 (32 enodes)
1554042681.385 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042681.385 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042681.385 * * [simplify]: Extracting #2: cost 7 inf + 45
1554042681.385 * * [simplify]: Extracting #3: cost 0 inf + 421
1554042681.385 * [simplify]: Simplified to (* (* PI n) 2)
1554042681.385 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042681.386 * * * * [progress]: [ 223 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 (* n PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042681.386 * [simplify]: Simplifying (* 2 (* n PI))
1554042681.386 * * [simplify]: iters left: 4 (5 enodes)
1554042681.389 * * [simplify]: iters left: 3 (19 enodes)
1554042681.394 * * [simplify]: iters left: 2 (27 enodes)
1554042681.399 * * [simplify]: iters left: 1 (32 enodes)
1554042681.403 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042681.403 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042681.403 * * [simplify]: Extracting #2: cost 7 inf + 45
1554042681.403 * * [simplify]: Extracting #3: cost 0 inf + 421
1554042681.403 * [simplify]: Simplified to (* (* PI n) 2)
1554042681.403 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042681.403 * * * * [progress]: [ 224 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 (* n PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042681.404 * [simplify]: Simplifying (* 2 (* n PI))
1554042681.404 * * [simplify]: iters left: 4 (5 enodes)
1554042681.405 * * [simplify]: iters left: 3 (19 enodes)
1554042681.408 * * [simplify]: iters left: 2 (27 enodes)
1554042681.412 * * [simplify]: iters left: 1 (32 enodes)
1554042681.417 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042681.417 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042681.417 * * [simplify]: Extracting #2: cost 7 inf + 45
1554042681.417 * * [simplify]: Extracting #3: cost 0 inf + 421
1554042681.417 * [simplify]: Simplified to (* (* PI n) 2)
1554042681.417 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042681.417 * * * * [progress]: [ 225 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 (* n PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042681.417 * [simplify]: Simplifying (* 2 (* n PI))
1554042681.417 * * [simplify]: iters left: 4 (5 enodes)
1554042681.419 * * [simplify]: iters left: 3 (19 enodes)
1554042681.423 * * [simplify]: iters left: 2 (27 enodes)
1554042681.431 * * [simplify]: iters left: 1 (32 enodes)
1554042681.440 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042681.440 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042681.440 * * [simplify]: Extracting #2: cost 7 inf + 45
1554042681.440 * * [simplify]: Extracting #3: cost 0 inf + 421
1554042681.440 * [simplify]: Simplified to (* (* PI n) 2)
1554042681.440 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042681.440 * * * * [progress]: [ 226 / 226 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 (* n PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554042681.441 * [simplify]: Simplifying (* 2 (* n PI))
1554042681.441 * * [simplify]: iters left: 4 (5 enodes)
1554042681.444 * * [simplify]: iters left: 3 (19 enodes)
1554042681.450 * * [simplify]: iters left: 2 (27 enodes)
1554042681.458 * * [simplify]: iters left: 1 (32 enodes)
1554042681.467 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042681.467 * * [simplify]: Extracting #1: cost 8 inf + 0
1554042681.467 * * [simplify]: Extracting #2: cost 7 inf + 45
1554042681.468 * * [simplify]: Extracting #3: cost 0 inf + 421
1554042681.468 * [simplify]: Simplified to (* (* PI n) 2)
1554042681.468 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554042681.468 * * * [progress]: adding candidates to table
1554042684.762 * [progress]: [Phase 3 of 3] Extracting.
1554042684.762 * * [regime]: Finding splitpoints for: (#<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (* (pow n (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow k -1/2))))> #<alt (λ (k n) (/ (* (sqrt (* (* PI 2) n)) (pow k -1/2)) (pow (* n (* 2 PI)) (/ k 2))))> #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))> #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (pow k -1/2))) (sqrt (pow k -1/2))))> #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))> #<alt (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k)))))> #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (pow k -1/2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (pow k -1/2)))))>)
1554042684.763 * * * [regime-changes]: Trying 2 branch expressions: (n k)
1554042684.763 * * * * [regimes]: Trying to branch on n from (#<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (* (pow n (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow k -1/2))))> #<alt (λ (k n) (/ (* (sqrt (* (* PI 2) n)) (pow k -1/2)) (pow (* n (* 2 PI)) (/ k 2))))> #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))> #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (pow k -1/2))) (sqrt (pow k -1/2))))> #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))> #<alt (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k)))))> #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (pow k -1/2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (pow k -1/2)))))>)
1554042684.819 * * * * [regimes]: Trying to branch on k from (#<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (* (pow n (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow k -1/2))))> #<alt (λ (k n) (/ (* (sqrt (* (* PI 2) n)) (pow k -1/2)) (pow (* n (* 2 PI)) (/ k 2))))> #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))> #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (pow k -1/2))) (sqrt (pow k -1/2))))> #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))> #<alt (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k)))))> #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (pow k -1/2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (pow k -1/2)))))>)
1554042684.872 * * * [regime]: Found split indices: #<option (#s(si 2 255))>
1554042684.872 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2)))
1554042684.872 * * [simplify]: iters left: 6 (15 enodes)
1554042684.873 * * [simplify]: iters left: 5 (21 enodes)
1554042684.874 * * [simplify]: Extracting #0: cost 1 inf + 0
1554042684.874 * * [simplify]: Extracting #1: cost 3 inf + 0
1554042684.874 * * [simplify]: Extracting #2: cost 6 inf + 0
1554042684.874 * * [simplify]: Extracting #3: cost 12 inf + 0
1554042684.874 * * [simplify]: Extracting #4: cost 9 inf + 216
1554042684.874 * * [simplify]: Extracting #5: cost 8 inf + 259
1554042684.874 * * [simplify]: Extracting #6: cost 5 inf + 385
1554042684.874 * * [simplify]: Extracting #7: cost 3 inf + 591
1554042684.874 * * [simplify]: Extracting #8: cost 1 inf + 1672
1554042684.875 * * [simplify]: Extracting #9: cost 0 inf + 2378
1554042684.875 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (/ (- 1 k) 2) 2)) (* (pow k -1/2) (pow (* (* PI 2) n) (/ (/ (- 1 k) 2) 2))))
1554042692.954 * [regime-testing]: Baseline error score: 0.5111537144878627
1554042692.955 * [regime-testing]: Oracle error score: 0.04344659645117897
1554042692.958 * [regime-testing]: End program error score: 0.5111537144878627