58.339 * [progress]: [Phase 1 of 3] Setting up.
0.003 * * * [progress]: [1/2] Preparing points
0.158 * * * [progress]: [2/2] Setting up program.
0.165 * [progress]: [Phase 2 of 3] Improving.
0.165 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
0.165 * [simplify]: Simplifying:
  (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
0.165 * * [simplify]: iteration 0: 13 enodes
0.171 * * [simplify]: iteration 1: 31 enodes
0.183 * * [simplify]: iteration 2: 62 enodes
0.205 * * [simplify]: iteration 3: 124 enodes
0.242 * * [simplify]: iteration 4: 327 enodes
0.526 * * [simplify]: iteration 5: 929 enodes
1.554 * * [simplify]: iteration 6: 2719 enodes
2.397 * * [simplify]: iteration complete: 5000 enodes
2.397 * * [simplify]: Extracting #0: cost 1 inf + 0
2.397 * * [simplify]: Extracting #1: cost 61 inf + 0
2.401 * * [simplify]: Extracting #2: cost 488 inf + 1
2.407 * * [simplify]: Extracting #3: cost 953 inf + 92
2.419 * * [simplify]: Extracting #4: cost 921 inf + 18841
2.450 * * [simplify]: Extracting #5: cost 645 inf + 66373
2.533 * * [simplify]: Extracting #6: cost 241 inf + 329522
2.689 * * [simplify]: Extracting #7: cost 5 inf + 560024
2.844 * * [simplify]: Extracting #8: cost 0 inf + 561759
2.932 * * [simplify]: Extracting #9: cost 0 inf + 561250
3.052 * [simplify]: Simplified to:
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))
3.060 * * [progress]: iteration 1 / 4
3.060 * * * [progress]: picking best candidate
3.072 * * * * [pick]: Picked  #<alt (λ (k n) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))>
3.072 * * * [progress]: localizing error
3.105 * * * [progress]: generating rewritten candidates
3.106 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1)
3.138 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1)
3.168 * * * * [progress]: [ 3 / 3 ] rewriting at (2)
3.189 * * * [progress]: generating series expansions
3.189 * * * * [progress]: [ 1 / 3 ] generating series at (2 1)
3.189 * [backup-simplify]: Simplify (pow (* (* n 2) PI) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))
3.190 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0
3.190 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
3.190 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
3.190 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
3.190 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
3.190 * [taylor]: Taking taylor expansion of 1/2 in k
3.190 * [backup-simplify]: Simplify 1/2 into 1/2
3.190 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
3.190 * [taylor]: Taking taylor expansion of 1/2 in k
3.190 * [backup-simplify]: Simplify 1/2 into 1/2
3.190 * [taylor]: Taking taylor expansion of k in k
3.190 * [backup-simplify]: Simplify 0 into 0
3.190 * [backup-simplify]: Simplify 1 into 1
3.190 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
3.190 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
3.190 * [taylor]: Taking taylor expansion of 2 in k
3.190 * [backup-simplify]: Simplify 2 into 2
3.190 * [taylor]: Taking taylor expansion of (* n PI) in k
3.190 * [taylor]: Taking taylor expansion of n in k
3.190 * [backup-simplify]: Simplify n into n
3.190 * [taylor]: Taking taylor expansion of PI in k
3.190 * [backup-simplify]: Simplify PI into PI
3.190 * [backup-simplify]: Simplify (* n PI) into (* n PI)
3.190 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
3.190 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
3.191 * [backup-simplify]: Simplify (* 1/2 0) into 0
3.191 * [backup-simplify]: Simplify (- 0) into 0
3.191 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
3.191 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
3.192 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
3.192 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
3.192 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
3.192 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
3.192 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
3.192 * [taylor]: Taking taylor expansion of 1/2 in n
3.192 * [backup-simplify]: Simplify 1/2 into 1/2
3.192 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
3.192 * [taylor]: Taking taylor expansion of 1/2 in n
3.192 * [backup-simplify]: Simplify 1/2 into 1/2
3.192 * [taylor]: Taking taylor expansion of k in n
3.192 * [backup-simplify]: Simplify k into k
3.192 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
3.192 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
3.192 * [taylor]: Taking taylor expansion of 2 in n
3.192 * [backup-simplify]: Simplify 2 into 2
3.192 * [taylor]: Taking taylor expansion of (* n PI) in n
3.192 * [taylor]: Taking taylor expansion of n in n
3.192 * [backup-simplify]: Simplify 0 into 0
3.192 * [backup-simplify]: Simplify 1 into 1
3.192 * [taylor]: Taking taylor expansion of PI in n
3.192 * [backup-simplify]: Simplify PI into PI
3.192 * [backup-simplify]: Simplify (* 0 PI) into 0
3.193 * [backup-simplify]: Simplify (* 2 0) into 0
3.194 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
3.195 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
3.196 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
3.196 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
3.196 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
3.196 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
3.198 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
3.199 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
3.200 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
3.200 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
3.200 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
3.200 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
3.200 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
3.200 * [taylor]: Taking taylor expansion of 1/2 in n
3.200 * [backup-simplify]: Simplify 1/2 into 1/2
3.200 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
3.200 * [taylor]: Taking taylor expansion of 1/2 in n
3.200 * [backup-simplify]: Simplify 1/2 into 1/2
3.200 * [taylor]: Taking taylor expansion of k in n
3.200 * [backup-simplify]: Simplify k into k
3.200 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
3.200 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
3.200 * [taylor]: Taking taylor expansion of 2 in n
3.201 * [backup-simplify]: Simplify 2 into 2
3.201 * [taylor]: Taking taylor expansion of (* n PI) in n
3.201 * [taylor]: Taking taylor expansion of n in n
3.201 * [backup-simplify]: Simplify 0 into 0
3.201 * [backup-simplify]: Simplify 1 into 1
3.201 * [taylor]: Taking taylor expansion of PI in n
3.201 * [backup-simplify]: Simplify PI into PI
3.201 * [backup-simplify]: Simplify (* 0 PI) into 0
3.201 * [backup-simplify]: Simplify (* 2 0) into 0
3.202 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
3.203 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
3.204 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
3.204 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
3.204 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
3.204 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
3.205 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
3.206 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
3.206 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
3.206 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
3.206 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
3.206 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
3.206 * [taylor]: Taking taylor expansion of 1/2 in k
3.207 * [backup-simplify]: Simplify 1/2 into 1/2
3.207 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
3.207 * [taylor]: Taking taylor expansion of 1/2 in k
3.207 * [backup-simplify]: Simplify 1/2 into 1/2
3.207 * [taylor]: Taking taylor expansion of k in k
3.207 * [backup-simplify]: Simplify 0 into 0
3.207 * [backup-simplify]: Simplify 1 into 1
3.207 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
3.207 * [taylor]: Taking taylor expansion of (log n) in k
3.207 * [taylor]: Taking taylor expansion of n in k
3.207 * [backup-simplify]: Simplify n into n
3.207 * [backup-simplify]: Simplify (log n) into (log n)
3.207 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
3.207 * [taylor]: Taking taylor expansion of (* 2 PI) in k
3.207 * [taylor]: Taking taylor expansion of 2 in k
3.207 * [backup-simplify]: Simplify 2 into 2
3.207 * [taylor]: Taking taylor expansion of PI in k
3.207 * [backup-simplify]: Simplify PI into PI
3.207 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
3.208 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
3.208 * [backup-simplify]: Simplify (* 1/2 0) into 0
3.208 * [backup-simplify]: Simplify (- 0) into 0
3.209 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
3.209 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
3.210 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
3.211 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
3.211 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
3.212 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
3.213 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
3.214 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
3.214 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
3.215 * [backup-simplify]: Simplify (- 0) into 0
3.215 * [backup-simplify]: Simplify (+ 0 0) into 0
3.216 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
3.217 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
3.218 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
3.218 * [taylor]: Taking taylor expansion of 0 in k
3.218 * [backup-simplify]: Simplify 0 into 0
3.218 * [backup-simplify]: Simplify 0 into 0
3.219 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
3.219 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
3.220 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
3.220 * [backup-simplify]: Simplify (+ 0 0) into 0
3.221 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
3.221 * [backup-simplify]: Simplify (- 1/2) into -1/2
3.221 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
3.222 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
3.224 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
3.226 * [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)))))))
3.228 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
3.229 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
3.231 * [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
3.231 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
3.231 * [backup-simplify]: Simplify (- 0) into 0
3.232 * [backup-simplify]: Simplify (+ 0 0) into 0
3.233 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
3.234 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
3.235 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.235 * [taylor]: Taking taylor expansion of 0 in k
3.235 * [backup-simplify]: Simplify 0 into 0
3.235 * [backup-simplify]: Simplify 0 into 0
3.235 * [backup-simplify]: Simplify 0 into 0
3.236 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
3.238 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
3.241 * [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
3.242 * [backup-simplify]: Simplify (+ 0 0) into 0
3.243 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
3.243 * [backup-simplify]: Simplify (- 0) into 0
3.243 * [backup-simplify]: Simplify (+ 0 0) into 0
3.246 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
3.250 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 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)))))
3.255 * [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)))))
3.265 * [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)))))
3.265 * [backup-simplify]: Simplify (pow (* (* (/ 1 n) 2) PI) (- 1/2 (/ (/ 1 k) 2))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
3.265 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0
3.265 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
3.265 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
3.265 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
3.265 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
3.265 * [taylor]: Taking taylor expansion of 1/2 in k
3.265 * [backup-simplify]: Simplify 1/2 into 1/2
3.265 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
3.265 * [taylor]: Taking taylor expansion of 1/2 in k
3.265 * [backup-simplify]: Simplify 1/2 into 1/2
3.265 * [taylor]: Taking taylor expansion of (/ 1 k) in k
3.265 * [taylor]: Taking taylor expansion of k in k
3.265 * [backup-simplify]: Simplify 0 into 0
3.265 * [backup-simplify]: Simplify 1 into 1
3.266 * [backup-simplify]: Simplify (/ 1 1) into 1
3.266 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
3.266 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
3.266 * [taylor]: Taking taylor expansion of 2 in k
3.266 * [backup-simplify]: Simplify 2 into 2
3.266 * [taylor]: Taking taylor expansion of (/ PI n) in k
3.266 * [taylor]: Taking taylor expansion of PI in k
3.266 * [backup-simplify]: Simplify PI into PI
3.266 * [taylor]: Taking taylor expansion of n in k
3.266 * [backup-simplify]: Simplify n into n
3.266 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
3.266 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
3.266 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
3.266 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
3.266 * [backup-simplify]: Simplify (- 1/2) into -1/2
3.267 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
3.267 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
3.267 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
3.267 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
3.267 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
3.267 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
3.267 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
3.267 * [taylor]: Taking taylor expansion of 1/2 in n
3.267 * [backup-simplify]: Simplify 1/2 into 1/2
3.267 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
3.267 * [taylor]: Taking taylor expansion of 1/2 in n
3.267 * [backup-simplify]: Simplify 1/2 into 1/2
3.267 * [taylor]: Taking taylor expansion of (/ 1 k) in n
3.267 * [taylor]: Taking taylor expansion of k in n
3.267 * [backup-simplify]: Simplify k into k
3.267 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
3.267 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
3.267 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
3.267 * [taylor]: Taking taylor expansion of 2 in n
3.267 * [backup-simplify]: Simplify 2 into 2
3.267 * [taylor]: Taking taylor expansion of (/ PI n) in n
3.267 * [taylor]: Taking taylor expansion of PI in n
3.267 * [backup-simplify]: Simplify PI into PI
3.267 * [taylor]: Taking taylor expansion of n in n
3.267 * [backup-simplify]: Simplify 0 into 0
3.267 * [backup-simplify]: Simplify 1 into 1
3.268 * [backup-simplify]: Simplify (/ PI 1) into PI
3.268 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
3.269 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
3.269 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
3.269 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
3.269 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
3.270 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
3.270 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
3.274 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
3.274 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
3.274 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
3.274 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
3.274 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
3.274 * [taylor]: Taking taylor expansion of 1/2 in n
3.274 * [backup-simplify]: Simplify 1/2 into 1/2
3.274 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
3.274 * [taylor]: Taking taylor expansion of 1/2 in n
3.274 * [backup-simplify]: Simplify 1/2 into 1/2
3.274 * [taylor]: Taking taylor expansion of (/ 1 k) in n
3.274 * [taylor]: Taking taylor expansion of k in n
3.274 * [backup-simplify]: Simplify k into k
3.274 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
3.274 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
3.274 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
3.274 * [taylor]: Taking taylor expansion of 2 in n
3.274 * [backup-simplify]: Simplify 2 into 2
3.274 * [taylor]: Taking taylor expansion of (/ PI n) in n
3.274 * [taylor]: Taking taylor expansion of PI in n
3.274 * [backup-simplify]: Simplify PI into PI
3.275 * [taylor]: Taking taylor expansion of n in n
3.275 * [backup-simplify]: Simplify 0 into 0
3.275 * [backup-simplify]: Simplify 1 into 1
3.275 * [backup-simplify]: Simplify (/ PI 1) into PI
3.275 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
3.276 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
3.276 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
3.276 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
3.276 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
3.277 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
3.278 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
3.279 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
3.279 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
3.279 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
3.279 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
3.279 * [taylor]: Taking taylor expansion of 1/2 in k
3.279 * [backup-simplify]: Simplify 1/2 into 1/2
3.279 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
3.279 * [taylor]: Taking taylor expansion of 1/2 in k
3.279 * [backup-simplify]: Simplify 1/2 into 1/2
3.279 * [taylor]: Taking taylor expansion of (/ 1 k) in k
3.279 * [taylor]: Taking taylor expansion of k in k
3.279 * [backup-simplify]: Simplify 0 into 0
3.279 * [backup-simplify]: Simplify 1 into 1
3.280 * [backup-simplify]: Simplify (/ 1 1) into 1
3.280 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
3.280 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
3.280 * [taylor]: Taking taylor expansion of (* 2 PI) in k
3.280 * [taylor]: Taking taylor expansion of 2 in k
3.280 * [backup-simplify]: Simplify 2 into 2
3.280 * [taylor]: Taking taylor expansion of PI in k
3.280 * [backup-simplify]: Simplify PI into PI
3.280 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
3.281 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
3.281 * [taylor]: Taking taylor expansion of (log n) in k
3.281 * [taylor]: Taking taylor expansion of n in k
3.281 * [backup-simplify]: Simplify n into n
3.281 * [backup-simplify]: Simplify (log n) into (log n)
3.281 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
3.281 * [backup-simplify]: Simplify (- 1/2) into -1/2
3.282 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
3.282 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
3.282 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
3.283 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
3.284 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
3.284 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
3.285 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
3.286 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
3.287 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
3.287 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
3.287 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
3.287 * [backup-simplify]: Simplify (- 0) into 0
3.287 * [backup-simplify]: Simplify (+ 0 0) into 0
3.288 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
3.289 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
3.290 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
3.290 * [taylor]: Taking taylor expansion of 0 in k
3.290 * [backup-simplify]: Simplify 0 into 0
3.290 * [backup-simplify]: Simplify 0 into 0
3.290 * [backup-simplify]: Simplify 0 into 0
3.291 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.292 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
3.293 * [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
3.294 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
3.294 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
3.295 * [backup-simplify]: Simplify (- 0) into 0
3.295 * [backup-simplify]: Simplify (+ 0 0) into 0
3.296 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
3.297 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
3.298 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.298 * [taylor]: Taking taylor expansion of 0 in k
3.298 * [backup-simplify]: Simplify 0 into 0
3.298 * [backup-simplify]: Simplify 0 into 0
3.298 * [backup-simplify]: Simplify 0 into 0
3.298 * [backup-simplify]: Simplify 0 into 0
3.299 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.300 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
3.303 * [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
3.303 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
3.304 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
3.304 * [backup-simplify]: Simplify (- 0) into 0
3.304 * [backup-simplify]: Simplify (+ 0 0) into 0
3.305 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
3.306 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
3.308 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 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
3.308 * [taylor]: Taking taylor expansion of 0 in k
3.308 * [backup-simplify]: Simplify 0 into 0
3.308 * [backup-simplify]: Simplify 0 into 0
3.309 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))
3.309 * [backup-simplify]: Simplify (pow (* (* (/ 1 (- n)) 2) PI) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))
3.309 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0
3.309 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
3.309 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
3.309 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
3.309 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
3.309 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
3.309 * [taylor]: Taking taylor expansion of 1/2 in k
3.309 * [backup-simplify]: Simplify 1/2 into 1/2
3.309 * [taylor]: Taking taylor expansion of (/ 1 k) in k
3.309 * [taylor]: Taking taylor expansion of k in k
3.309 * [backup-simplify]: Simplify 0 into 0
3.309 * [backup-simplify]: Simplify 1 into 1
3.310 * [backup-simplify]: Simplify (/ 1 1) into 1
3.310 * [taylor]: Taking taylor expansion of 1/2 in k
3.310 * [backup-simplify]: Simplify 1/2 into 1/2
3.310 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
3.310 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
3.310 * [taylor]: Taking taylor expansion of -2 in k
3.310 * [backup-simplify]: Simplify -2 into -2
3.310 * [taylor]: Taking taylor expansion of (/ PI n) in k
3.310 * [taylor]: Taking taylor expansion of PI in k
3.310 * [backup-simplify]: Simplify PI into PI
3.310 * [taylor]: Taking taylor expansion of n in k
3.310 * [backup-simplify]: Simplify n into n
3.310 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
3.310 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
3.310 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
3.310 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
3.310 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
3.310 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
3.311 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) into (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))
3.311 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
3.311 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
3.311 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
3.311 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
3.311 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
3.311 * [taylor]: Taking taylor expansion of 1/2 in n
3.311 * [backup-simplify]: Simplify 1/2 into 1/2
3.311 * [taylor]: Taking taylor expansion of (/ 1 k) in n
3.311 * [taylor]: Taking taylor expansion of k in n
3.311 * [backup-simplify]: Simplify k into k
3.311 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
3.311 * [taylor]: Taking taylor expansion of 1/2 in n
3.311 * [backup-simplify]: Simplify 1/2 into 1/2
3.311 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
3.311 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
3.311 * [taylor]: Taking taylor expansion of -2 in n
3.311 * [backup-simplify]: Simplify -2 into -2
3.311 * [taylor]: Taking taylor expansion of (/ PI n) in n
3.311 * [taylor]: Taking taylor expansion of PI in n
3.311 * [backup-simplify]: Simplify PI into PI
3.311 * [taylor]: Taking taylor expansion of n in n
3.311 * [backup-simplify]: Simplify 0 into 0
3.311 * [backup-simplify]: Simplify 1 into 1
3.311 * [backup-simplify]: Simplify (/ PI 1) into PI
3.312 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
3.312 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
3.313 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
3.313 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
3.314 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
3.315 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
3.317 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
3.317 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
3.317 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
3.317 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
3.317 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
3.317 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
3.317 * [taylor]: Taking taylor expansion of 1/2 in n
3.317 * [backup-simplify]: Simplify 1/2 into 1/2
3.317 * [taylor]: Taking taylor expansion of (/ 1 k) in n
3.317 * [taylor]: Taking taylor expansion of k in n
3.317 * [backup-simplify]: Simplify k into k
3.317 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
3.317 * [taylor]: Taking taylor expansion of 1/2 in n
3.317 * [backup-simplify]: Simplify 1/2 into 1/2
3.317 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
3.317 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
3.317 * [taylor]: Taking taylor expansion of -2 in n
3.317 * [backup-simplify]: Simplify -2 into -2
3.317 * [taylor]: Taking taylor expansion of (/ PI n) in n
3.317 * [taylor]: Taking taylor expansion of PI in n
3.317 * [backup-simplify]: Simplify PI into PI
3.317 * [taylor]: Taking taylor expansion of n in n
3.317 * [backup-simplify]: Simplify 0 into 0
3.317 * [backup-simplify]: Simplify 1 into 1
3.318 * [backup-simplify]: Simplify (/ PI 1) into PI
3.318 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
3.319 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
3.319 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
3.320 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
3.321 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
3.322 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
3.323 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
3.324 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
3.324 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
3.324 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
3.324 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
3.324 * [taylor]: Taking taylor expansion of 1/2 in k
3.324 * [backup-simplify]: Simplify 1/2 into 1/2
3.324 * [taylor]: Taking taylor expansion of (/ 1 k) in k
3.324 * [taylor]: Taking taylor expansion of k in k
3.324 * [backup-simplify]: Simplify 0 into 0
3.324 * [backup-simplify]: Simplify 1 into 1
3.324 * [backup-simplify]: Simplify (/ 1 1) into 1
3.324 * [taylor]: Taking taylor expansion of 1/2 in k
3.324 * [backup-simplify]: Simplify 1/2 into 1/2
3.324 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
3.324 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
3.324 * [taylor]: Taking taylor expansion of (* -2 PI) in k
3.324 * [taylor]: Taking taylor expansion of -2 in k
3.324 * [backup-simplify]: Simplify -2 into -2
3.324 * [taylor]: Taking taylor expansion of PI in k
3.324 * [backup-simplify]: Simplify PI into PI
3.325 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
3.326 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
3.326 * [taylor]: Taking taylor expansion of (log n) in k
3.326 * [taylor]: Taking taylor expansion of n in k
3.326 * [backup-simplify]: Simplify n into n
3.326 * [backup-simplify]: Simplify (log n) into (log n)
3.327 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
3.327 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
3.327 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
3.328 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
3.329 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
3.331 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
3.332 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
3.333 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
3.334 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
3.336 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
3.336 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
3.336 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
3.337 * [backup-simplify]: Simplify (+ 0 0) into 0
3.338 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
3.339 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
3.341 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
3.341 * [taylor]: Taking taylor expansion of 0 in k
3.341 * [backup-simplify]: Simplify 0 into 0
3.341 * [backup-simplify]: Simplify 0 into 0
3.342 * [backup-simplify]: Simplify 0 into 0
3.343 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.344 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
3.347 * [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
3.348 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
3.349 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
3.349 * [backup-simplify]: Simplify (+ 0 0) into 0
3.350 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
3.352 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
3.355 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.355 * [taylor]: Taking taylor expansion of 0 in k
3.355 * [backup-simplify]: Simplify 0 into 0
3.355 * [backup-simplify]: Simplify 0 into 0
3.355 * [backup-simplify]: Simplify 0 into 0
3.355 * [backup-simplify]: Simplify 0 into 0
3.356 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.358 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
3.362 * [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
3.362 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
3.363 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
3.364 * [backup-simplify]: Simplify (+ 0 0) into 0
3.364 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
3.366 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
3.367 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
3.367 * [taylor]: Taking taylor expansion of 0 in k
3.367 * [backup-simplify]: Simplify 0 into 0
3.367 * [backup-simplify]: Simplify 0 into 0
3.368 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
3.368 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1)
3.368 * [backup-simplify]: Simplify (* (* n 2) PI) into (* 2 (* n PI))
3.368 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
3.368 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
3.368 * [taylor]: Taking taylor expansion of 2 in n
3.368 * [backup-simplify]: Simplify 2 into 2
3.368 * [taylor]: Taking taylor expansion of (* n PI) in n
3.368 * [taylor]: Taking taylor expansion of n in n
3.368 * [backup-simplify]: Simplify 0 into 0
3.368 * [backup-simplify]: Simplify 1 into 1
3.368 * [taylor]: Taking taylor expansion of PI in n
3.368 * [backup-simplify]: Simplify PI into PI
3.368 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
3.368 * [taylor]: Taking taylor expansion of 2 in n
3.368 * [backup-simplify]: Simplify 2 into 2
3.369 * [taylor]: Taking taylor expansion of (* n PI) in n
3.369 * [taylor]: Taking taylor expansion of n in n
3.369 * [backup-simplify]: Simplify 0 into 0
3.369 * [backup-simplify]: Simplify 1 into 1
3.369 * [taylor]: Taking taylor expansion of PI in n
3.369 * [backup-simplify]: Simplify PI into PI
3.369 * [backup-simplify]: Simplify (* 0 PI) into 0
3.369 * [backup-simplify]: Simplify (* 2 0) into 0
3.369 * [backup-simplify]: Simplify 0 into 0
3.370 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
3.371 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
3.372 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
3.372 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
3.373 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
3.373 * [backup-simplify]: Simplify 0 into 0
3.374 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
3.374 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
3.374 * [backup-simplify]: Simplify 0 into 0
3.375 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
3.376 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
3.376 * [backup-simplify]: Simplify 0 into 0
3.377 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
3.378 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
3.378 * [backup-simplify]: Simplify 0 into 0
3.379 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
3.380 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
3.380 * [backup-simplify]: Simplify 0 into 0
3.381 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
3.384 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
3.385 * [backup-simplify]: Simplify 0 into 0
3.385 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
3.385 * [backup-simplify]: Simplify (* (* (/ 1 n) 2) PI) into (* 2 (/ PI n))
3.385 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
3.385 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
3.385 * [taylor]: Taking taylor expansion of 2 in n
3.385 * [backup-simplify]: Simplify 2 into 2
3.385 * [taylor]: Taking taylor expansion of (/ PI n) in n
3.385 * [taylor]: Taking taylor expansion of PI in n
3.385 * [backup-simplify]: Simplify PI into PI
3.385 * [taylor]: Taking taylor expansion of n in n
3.385 * [backup-simplify]: Simplify 0 into 0
3.385 * [backup-simplify]: Simplify 1 into 1
3.386 * [backup-simplify]: Simplify (/ PI 1) into PI
3.386 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
3.386 * [taylor]: Taking taylor expansion of 2 in n
3.386 * [backup-simplify]: Simplify 2 into 2
3.386 * [taylor]: Taking taylor expansion of (/ PI n) in n
3.386 * [taylor]: Taking taylor expansion of PI in n
3.386 * [backup-simplify]: Simplify PI into PI
3.386 * [taylor]: Taking taylor expansion of n in n
3.386 * [backup-simplify]: Simplify 0 into 0
3.386 * [backup-simplify]: Simplify 1 into 1
3.386 * [backup-simplify]: Simplify (/ PI 1) into PI
3.387 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
3.387 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
3.387 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
3.388 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
3.388 * [backup-simplify]: Simplify 0 into 0
3.389 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.389 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
3.389 * [backup-simplify]: Simplify 0 into 0
3.390 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.391 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
3.391 * [backup-simplify]: Simplify 0 into 0
3.391 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.392 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
3.392 * [backup-simplify]: Simplify 0 into 0
3.393 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.394 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
3.394 * [backup-simplify]: Simplify 0 into 0
3.395 * [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
3.396 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
3.396 * [backup-simplify]: Simplify 0 into 0
3.396 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
3.396 * [backup-simplify]: Simplify (* (* (/ 1 (- n)) 2) PI) into (* -2 (/ PI n))
3.396 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
3.396 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
3.396 * [taylor]: Taking taylor expansion of -2 in n
3.396 * [backup-simplify]: Simplify -2 into -2
3.396 * [taylor]: Taking taylor expansion of (/ PI n) in n
3.397 * [taylor]: Taking taylor expansion of PI in n
3.397 * [backup-simplify]: Simplify PI into PI
3.397 * [taylor]: Taking taylor expansion of n in n
3.397 * [backup-simplify]: Simplify 0 into 0
3.397 * [backup-simplify]: Simplify 1 into 1
3.397 * [backup-simplify]: Simplify (/ PI 1) into PI
3.397 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
3.397 * [taylor]: Taking taylor expansion of -2 in n
3.397 * [backup-simplify]: Simplify -2 into -2
3.397 * [taylor]: Taking taylor expansion of (/ PI n) in n
3.397 * [taylor]: Taking taylor expansion of PI in n
3.397 * [backup-simplify]: Simplify PI into PI
3.397 * [taylor]: Taking taylor expansion of n in n
3.397 * [backup-simplify]: Simplify 0 into 0
3.397 * [backup-simplify]: Simplify 1 into 1
3.397 * [backup-simplify]: Simplify (/ PI 1) into PI
3.398 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
3.398 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
3.399 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
3.399 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
3.399 * [backup-simplify]: Simplify 0 into 0
3.400 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.401 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
3.401 * [backup-simplify]: Simplify 0 into 0
3.401 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.402 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
3.402 * [backup-simplify]: Simplify 0 into 0
3.403 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.403 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
3.403 * [backup-simplify]: Simplify 0 into 0
3.404 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.405 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
3.405 * [backup-simplify]: Simplify 0 into 0
3.406 * [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
3.407 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
3.407 * [backup-simplify]: Simplify 0 into 0
3.407 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
3.407 * * * * [progress]: [ 3 / 3 ] generating series at (2)
3.407 * [backup-simplify]: Simplify (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)) into (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))))
3.407 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0
3.407 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
3.407 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
3.407 * [taylor]: Taking taylor expansion of (/ 1 k) in k
3.407 * [taylor]: Taking taylor expansion of k in k
3.407 * [backup-simplify]: Simplify 0 into 0
3.407 * [backup-simplify]: Simplify 1 into 1
3.408 * [backup-simplify]: Simplify (/ 1 1) into 1
3.408 * [backup-simplify]: Simplify (sqrt 0) into 0
3.409 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
3.409 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
3.409 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
3.409 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
3.409 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
3.409 * [taylor]: Taking taylor expansion of 1/2 in k
3.409 * [backup-simplify]: Simplify 1/2 into 1/2
3.409 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
3.409 * [taylor]: Taking taylor expansion of 1/2 in k
3.409 * [backup-simplify]: Simplify 1/2 into 1/2
3.409 * [taylor]: Taking taylor expansion of k in k
3.409 * [backup-simplify]: Simplify 0 into 0
3.409 * [backup-simplify]: Simplify 1 into 1
3.409 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
3.409 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
3.409 * [taylor]: Taking taylor expansion of 2 in k
3.409 * [backup-simplify]: Simplify 2 into 2
3.409 * [taylor]: Taking taylor expansion of (* n PI) in k
3.409 * [taylor]: Taking taylor expansion of n in k
3.409 * [backup-simplify]: Simplify n into n
3.409 * [taylor]: Taking taylor expansion of PI in k
3.409 * [backup-simplify]: Simplify PI into PI
3.409 * [backup-simplify]: Simplify (* n PI) into (* n PI)
3.409 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
3.409 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
3.410 * [backup-simplify]: Simplify (* 1/2 0) into 0
3.410 * [backup-simplify]: Simplify (- 0) into 0
3.410 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
3.410 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
3.410 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
3.410 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
3.410 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
3.410 * [taylor]: Taking taylor expansion of (/ 1 k) in n
3.410 * [taylor]: Taking taylor expansion of k in n
3.410 * [backup-simplify]: Simplify k into k
3.411 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
3.411 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
3.411 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
3.411 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
3.411 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
3.411 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
3.411 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
3.411 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
3.411 * [taylor]: Taking taylor expansion of 1/2 in n
3.411 * [backup-simplify]: Simplify 1/2 into 1/2
3.411 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
3.411 * [taylor]: Taking taylor expansion of 1/2 in n
3.411 * [backup-simplify]: Simplify 1/2 into 1/2
3.411 * [taylor]: Taking taylor expansion of k in n
3.411 * [backup-simplify]: Simplify k into k
3.411 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
3.411 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
3.411 * [taylor]: Taking taylor expansion of 2 in n
3.411 * [backup-simplify]: Simplify 2 into 2
3.411 * [taylor]: Taking taylor expansion of (* n PI) in n
3.411 * [taylor]: Taking taylor expansion of n in n
3.411 * [backup-simplify]: Simplify 0 into 0
3.411 * [backup-simplify]: Simplify 1 into 1
3.411 * [taylor]: Taking taylor expansion of PI in n
3.411 * [backup-simplify]: Simplify PI into PI
3.411 * [backup-simplify]: Simplify (* 0 PI) into 0
3.412 * [backup-simplify]: Simplify (* 2 0) into 0
3.413 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
3.413 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
3.414 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
3.414 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
3.414 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
3.414 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
3.415 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
3.416 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
3.417 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
3.417 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
3.417 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
3.417 * [taylor]: Taking taylor expansion of (/ 1 k) in n
3.417 * [taylor]: Taking taylor expansion of k in n
3.417 * [backup-simplify]: Simplify k into k
3.417 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
3.417 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
3.417 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
3.417 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
3.417 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
3.417 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
3.417 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
3.417 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
3.417 * [taylor]: Taking taylor expansion of 1/2 in n
3.417 * [backup-simplify]: Simplify 1/2 into 1/2
3.417 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
3.417 * [taylor]: Taking taylor expansion of 1/2 in n
3.417 * [backup-simplify]: Simplify 1/2 into 1/2
3.417 * [taylor]: Taking taylor expansion of k in n
3.417 * [backup-simplify]: Simplify k into k
3.417 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
3.417 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
3.417 * [taylor]: Taking taylor expansion of 2 in n
3.417 * [backup-simplify]: Simplify 2 into 2
3.417 * [taylor]: Taking taylor expansion of (* n PI) in n
3.417 * [taylor]: Taking taylor expansion of n in n
3.417 * [backup-simplify]: Simplify 0 into 0
3.417 * [backup-simplify]: Simplify 1 into 1
3.417 * [taylor]: Taking taylor expansion of PI in n
3.417 * [backup-simplify]: Simplify PI into PI
3.418 * [backup-simplify]: Simplify (* 0 PI) into 0
3.418 * [backup-simplify]: Simplify (* 2 0) into 0
3.419 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
3.420 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
3.421 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
3.421 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
3.421 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
3.421 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
3.422 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
3.424 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
3.425 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
3.426 * [backup-simplify]: Simplify (* (sqrt (/ 1 k)) (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) into (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k)))
3.426 * [taylor]: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k
3.426 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
3.426 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
3.426 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
3.427 * [taylor]: Taking taylor expansion of 1/2 in k
3.427 * [backup-simplify]: Simplify 1/2 into 1/2
3.427 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
3.427 * [taylor]: Taking taylor expansion of 1/2 in k
3.427 * [backup-simplify]: Simplify 1/2 into 1/2
3.427 * [taylor]: Taking taylor expansion of k in k
3.427 * [backup-simplify]: Simplify 0 into 0
3.427 * [backup-simplify]: Simplify 1 into 1
3.427 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
3.427 * [taylor]: Taking taylor expansion of (log n) in k
3.427 * [taylor]: Taking taylor expansion of n in k
3.427 * [backup-simplify]: Simplify n into n
3.427 * [backup-simplify]: Simplify (log n) into (log n)
3.427 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
3.427 * [taylor]: Taking taylor expansion of (* 2 PI) in k
3.427 * [taylor]: Taking taylor expansion of 2 in k
3.427 * [backup-simplify]: Simplify 2 into 2
3.427 * [taylor]: Taking taylor expansion of PI in k
3.427 * [backup-simplify]: Simplify PI into PI
3.428 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
3.429 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
3.429 * [backup-simplify]: Simplify (* 1/2 0) into 0
3.430 * [backup-simplify]: Simplify (- 0) into 0
3.430 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
3.431 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
3.432 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
3.433 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
3.434 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
3.434 * [taylor]: Taking taylor expansion of (/ 1 k) in k
3.434 * [taylor]: Taking taylor expansion of k in k
3.434 * [backup-simplify]: Simplify 0 into 0
3.434 * [backup-simplify]: Simplify 1 into 1
3.434 * [backup-simplify]: Simplify (/ 1 1) into 1
3.434 * [backup-simplify]: Simplify (sqrt 0) into 0
3.436 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
3.437 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0
3.437 * [backup-simplify]: Simplify 0 into 0
3.438 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
3.439 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
3.441 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
3.442 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
3.442 * [backup-simplify]: Simplify (- 0) into 0
3.443 * [backup-simplify]: Simplify (+ 0 0) into 0
3.444 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
3.446 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
3.448 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
3.449 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0
3.449 * [taylor]: Taking taylor expansion of 0 in k
3.449 * [backup-simplify]: Simplify 0 into 0
3.449 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
3.450 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
3.451 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
3.451 * [backup-simplify]: Simplify (+ 0 0) into 0
3.452 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
3.452 * [backup-simplify]: Simplify (- 1/2) into -1/2
3.452 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
3.453 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
3.455 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
3.457 * [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)))))))
3.458 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
3.459 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
3.460 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
3.462 * [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
3.462 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
3.462 * [backup-simplify]: Simplify (- 0) into 0
3.463 * [backup-simplify]: Simplify (+ 0 0) into 0
3.464 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
3.464 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
3.466 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.466 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
3.467 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
3.468 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0
3.468 * [taylor]: Taking taylor expansion of 0 in k
3.468 * [backup-simplify]: Simplify 0 into 0
3.468 * [backup-simplify]: Simplify 0 into 0
3.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.470 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
3.471 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
3.472 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
3.474 * [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
3.474 * [backup-simplify]: Simplify (+ 0 0) into 0
3.475 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
3.475 * [backup-simplify]: Simplify (- 0) into 0
3.475 * [backup-simplify]: Simplify (+ 0 0) into 0
3.476 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
3.479 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 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)))))
3.491 * [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))))))))
3.496 * [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))))))))
3.498 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
3.499 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
3.506 * [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
3.507 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0
3.508 * [backup-simplify]: Simplify (- 0) into 0
3.508 * [backup-simplify]: Simplify (+ 0 0) into 0
3.509 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
3.511 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
3.514 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
3.514 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
3.515 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0
3.517 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))))) into 0
3.517 * [taylor]: Taking taylor expansion of 0 in k
3.517 * [backup-simplify]: Simplify 0 into 0
3.517 * [backup-simplify]: Simplify 0 into 0
3.517 * [backup-simplify]: Simplify 0 into 0
3.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.522 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
3.525 * [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
3.526 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
3.532 * [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
3.533 * [backup-simplify]: Simplify (+ 0 0) into 0
3.534 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
3.534 * [backup-simplify]: Simplify (- 0) into 0
3.534 * [backup-simplify]: Simplify (+ 0 0) into 0
3.537 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
3.544 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 3) 6)) (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 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)))))))
3.562 * [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))))))))))))))
3.574 * [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))))))))))))))
3.594 * [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))))))))))))))))))))))
3.594 * [backup-simplify]: Simplify (/ (pow (* (* (/ 1 n) 2) PI) (- 1/2 (/ (/ 1 k) 2))) (sqrt (/ 1 k))) into (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))
3.594 * [approximate]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0
3.594 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
3.595 * [taylor]: Taking taylor expansion of (sqrt k) in k
3.595 * [taylor]: Taking taylor expansion of k in k
3.595 * [backup-simplify]: Simplify 0 into 0
3.595 * [backup-simplify]: Simplify 1 into 1
3.595 * [backup-simplify]: Simplify (sqrt 0) into 0
3.597 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
3.597 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
3.597 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
3.597 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
3.597 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
3.597 * [taylor]: Taking taylor expansion of 1/2 in k
3.597 * [backup-simplify]: Simplify 1/2 into 1/2
3.597 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
3.597 * [taylor]: Taking taylor expansion of 1/2 in k
3.597 * [backup-simplify]: Simplify 1/2 into 1/2
3.597 * [taylor]: Taking taylor expansion of (/ 1 k) in k
3.597 * [taylor]: Taking taylor expansion of k in k
3.597 * [backup-simplify]: Simplify 0 into 0
3.597 * [backup-simplify]: Simplify 1 into 1
3.597 * [backup-simplify]: Simplify (/ 1 1) into 1
3.597 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
3.597 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
3.597 * [taylor]: Taking taylor expansion of 2 in k
3.597 * [backup-simplify]: Simplify 2 into 2
3.597 * [taylor]: Taking taylor expansion of (/ PI n) in k
3.597 * [taylor]: Taking taylor expansion of PI in k
3.597 * [backup-simplify]: Simplify PI into PI
3.598 * [taylor]: Taking taylor expansion of n in k
3.598 * [backup-simplify]: Simplify n into n
3.598 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
3.598 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
3.598 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
3.598 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
3.599 * [backup-simplify]: Simplify (- 1/2) into -1/2
3.599 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
3.599 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
3.599 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
3.599 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
3.599 * [taylor]: Taking taylor expansion of (sqrt k) in n
3.599 * [taylor]: Taking taylor expansion of k in n
3.599 * [backup-simplify]: Simplify k into k
3.600 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
3.600 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
3.600 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
3.600 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
3.600 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
3.600 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
3.600 * [taylor]: Taking taylor expansion of 1/2 in n
3.600 * [backup-simplify]: Simplify 1/2 into 1/2
3.600 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
3.600 * [taylor]: Taking taylor expansion of 1/2 in n
3.600 * [backup-simplify]: Simplify 1/2 into 1/2
3.600 * [taylor]: Taking taylor expansion of (/ 1 k) in n
3.600 * [taylor]: Taking taylor expansion of k in n
3.600 * [backup-simplify]: Simplify k into k
3.600 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
3.600 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
3.600 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
3.600 * [taylor]: Taking taylor expansion of 2 in n
3.600 * [backup-simplify]: Simplify 2 into 2
3.600 * [taylor]: Taking taylor expansion of (/ PI n) in n
3.600 * [taylor]: Taking taylor expansion of PI in n
3.600 * [backup-simplify]: Simplify PI into PI
3.600 * [taylor]: Taking taylor expansion of n in n
3.600 * [backup-simplify]: Simplify 0 into 0
3.600 * [backup-simplify]: Simplify 1 into 1
3.601 * [backup-simplify]: Simplify (/ PI 1) into PI
3.601 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
3.603 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
3.603 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
3.603 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
3.603 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
3.604 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
3.606 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
3.607 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
3.607 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
3.607 * [taylor]: Taking taylor expansion of (sqrt k) in n
3.607 * [taylor]: Taking taylor expansion of k in n
3.607 * [backup-simplify]: Simplify k into k
3.607 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
3.607 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
3.607 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
3.607 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
3.607 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
3.607 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
3.607 * [taylor]: Taking taylor expansion of 1/2 in n
3.607 * [backup-simplify]: Simplify 1/2 into 1/2
3.607 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
3.607 * [taylor]: Taking taylor expansion of 1/2 in n
3.607 * [backup-simplify]: Simplify 1/2 into 1/2
3.607 * [taylor]: Taking taylor expansion of (/ 1 k) in n
3.607 * [taylor]: Taking taylor expansion of k in n
3.607 * [backup-simplify]: Simplify k into k
3.608 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
3.608 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
3.608 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
3.608 * [taylor]: Taking taylor expansion of 2 in n
3.608 * [backup-simplify]: Simplify 2 into 2
3.608 * [taylor]: Taking taylor expansion of (/ PI n) in n
3.608 * [taylor]: Taking taylor expansion of PI in n
3.608 * [backup-simplify]: Simplify PI into PI
3.608 * [taylor]: Taking taylor expansion of n in n
3.608 * [backup-simplify]: Simplify 0 into 0
3.608 * [backup-simplify]: Simplify 1 into 1
3.608 * [backup-simplify]: Simplify (/ PI 1) into PI
3.609 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
3.610 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
3.610 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
3.610 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
3.610 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
3.611 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
3.613 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
3.614 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
3.615 * [backup-simplify]: Simplify (* (sqrt k) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k))
3.615 * [taylor]: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k
3.616 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
3.616 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
3.616 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
3.616 * [taylor]: Taking taylor expansion of 1/2 in k
3.616 * [backup-simplify]: Simplify 1/2 into 1/2
3.616 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
3.616 * [taylor]: Taking taylor expansion of 1/2 in k
3.616 * [backup-simplify]: Simplify 1/2 into 1/2
3.616 * [taylor]: Taking taylor expansion of (/ 1 k) in k
3.616 * [taylor]: Taking taylor expansion of k in k
3.616 * [backup-simplify]: Simplify 0 into 0
3.616 * [backup-simplify]: Simplify 1 into 1
3.616 * [backup-simplify]: Simplify (/ 1 1) into 1
3.617 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
3.617 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
3.617 * [taylor]: Taking taylor expansion of (* 2 PI) in k
3.617 * [taylor]: Taking taylor expansion of 2 in k
3.617 * [backup-simplify]: Simplify 2 into 2
3.617 * [taylor]: Taking taylor expansion of PI in k
3.617 * [backup-simplify]: Simplify PI into PI
3.617 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
3.618 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
3.618 * [taylor]: Taking taylor expansion of (log n) in k
3.618 * [taylor]: Taking taylor expansion of n in k
3.618 * [backup-simplify]: Simplify n into n
3.618 * [backup-simplify]: Simplify (log n) into (log n)
3.619 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
3.619 * [backup-simplify]: Simplify (- 1/2) into -1/2
3.620 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
3.620 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
3.620 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
3.621 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
3.622 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
3.622 * [taylor]: Taking taylor expansion of (sqrt k) in k
3.622 * [taylor]: Taking taylor expansion of k in k
3.622 * [backup-simplify]: Simplify 0 into 0
3.622 * [backup-simplify]: Simplify 1 into 1
3.622 * [backup-simplify]: Simplify (sqrt 0) into 0
3.623 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
3.626 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0
3.626 * [backup-simplify]: Simplify 0 into 0
3.627 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
3.627 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
3.628 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
3.628 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
3.629 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
3.629 * [backup-simplify]: Simplify (- 0) into 0
3.629 * [backup-simplify]: Simplify (+ 0 0) into 0
3.630 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
3.631 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
3.632 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
3.633 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0
3.633 * [taylor]: Taking taylor expansion of 0 in k
3.633 * [backup-simplify]: Simplify 0 into 0
3.633 * [backup-simplify]: Simplify 0 into 0
3.634 * [backup-simplify]: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
3.635 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
3.635 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.636 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
3.638 * [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
3.638 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
3.638 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
3.639 * [backup-simplify]: Simplify (- 0) into 0
3.639 * [backup-simplify]: Simplify (+ 0 0) into 0
3.640 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
3.641 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
3.642 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.643 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
3.644 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0
3.644 * [taylor]: Taking taylor expansion of 0 in k
3.644 * [backup-simplify]: Simplify 0 into 0
3.644 * [backup-simplify]: Simplify 0 into 0
3.644 * [backup-simplify]: Simplify 0 into 0
3.646 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
3.647 * [backup-simplify]: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
3.648 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
3.648 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.649 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
3.652 * [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
3.652 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
3.653 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
3.653 * [backup-simplify]: Simplify (- 0) into 0
3.654 * [backup-simplify]: Simplify (+ 0 0) into 0
3.655 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
3.656 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
3.658 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 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
3.659 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
3.661 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))) into 0
3.661 * [taylor]: Taking taylor expansion of 0 in k
3.661 * [backup-simplify]: Simplify 0 into 0
3.661 * [backup-simplify]: Simplify 0 into 0
3.661 * [backup-simplify]: Simplify 0 into 0
3.661 * [backup-simplify]: Simplify 0 into 0
3.665 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
3.667 * [backup-simplify]: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
3.669 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
3.673 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k)) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2))))))))
3.673 * [backup-simplify]: Simplify (/ (pow (* (* (/ 1 (- n)) 2) PI) (- 1/2 (/ (/ 1 (- k)) 2))) (sqrt (/ 1 (- k)))) into (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k)))
3.673 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0
3.674 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k
3.674 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
3.674 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
3.674 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
3.674 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
3.674 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
3.674 * [taylor]: Taking taylor expansion of 1/2 in k
3.674 * [backup-simplify]: Simplify 1/2 into 1/2
3.674 * [taylor]: Taking taylor expansion of (/ 1 k) in k
3.674 * [taylor]: Taking taylor expansion of k in k
3.674 * [backup-simplify]: Simplify 0 into 0
3.674 * [backup-simplify]: Simplify 1 into 1
3.674 * [backup-simplify]: Simplify (/ 1 1) into 1
3.674 * [taylor]: Taking taylor expansion of 1/2 in k
3.674 * [backup-simplify]: Simplify 1/2 into 1/2
3.674 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
3.674 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
3.674 * [taylor]: Taking taylor expansion of -2 in k
3.674 * [backup-simplify]: Simplify -2 into -2
3.674 * [taylor]: Taking taylor expansion of (/ PI n) in k
3.674 * [taylor]: Taking taylor expansion of PI in k
3.674 * [backup-simplify]: Simplify PI into PI
3.674 * [taylor]: Taking taylor expansion of n in k
3.675 * [backup-simplify]: Simplify n into n
3.675 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
3.675 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
3.675 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
3.675 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
3.676 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
3.676 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
3.676 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) into (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))
3.676 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
3.676 * [taylor]: Taking taylor expansion of (/ -1 k) in k
3.676 * [taylor]: Taking taylor expansion of -1 in k
3.676 * [backup-simplify]: Simplify -1 into -1
3.676 * [taylor]: Taking taylor expansion of k in k
3.676 * [backup-simplify]: Simplify 0 into 0
3.676 * [backup-simplify]: Simplify 1 into 1
3.677 * [backup-simplify]: Simplify (/ -1 1) into -1
3.677 * [backup-simplify]: Simplify (sqrt 0) into 0
3.678 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
3.679 * [backup-simplify]: Simplify (/ (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))
3.679 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n
3.679 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
3.679 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
3.679 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
3.679 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
3.679 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
3.679 * [taylor]: Taking taylor expansion of 1/2 in n
3.679 * [backup-simplify]: Simplify 1/2 into 1/2
3.679 * [taylor]: Taking taylor expansion of (/ 1 k) in n
3.679 * [taylor]: Taking taylor expansion of k in n
3.679 * [backup-simplify]: Simplify k into k
3.679 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
3.679 * [taylor]: Taking taylor expansion of 1/2 in n
3.679 * [backup-simplify]: Simplify 1/2 into 1/2
3.679 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
3.679 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
3.679 * [taylor]: Taking taylor expansion of -2 in n
3.679 * [backup-simplify]: Simplify -2 into -2
3.679 * [taylor]: Taking taylor expansion of (/ PI n) in n
3.679 * [taylor]: Taking taylor expansion of PI in n
3.679 * [backup-simplify]: Simplify PI into PI
3.679 * [taylor]: Taking taylor expansion of n in n
3.679 * [backup-simplify]: Simplify 0 into 0
3.679 * [backup-simplify]: Simplify 1 into 1
3.680 * [backup-simplify]: Simplify (/ PI 1) into PI
3.681 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
3.682 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
3.682 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
3.682 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
3.683 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
3.684 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
3.685 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
3.685 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
3.686 * [taylor]: Taking taylor expansion of (/ -1 k) in n
3.686 * [taylor]: Taking taylor expansion of -1 in n
3.686 * [backup-simplify]: Simplify -1 into -1
3.686 * [taylor]: Taking taylor expansion of k in n
3.686 * [backup-simplify]: Simplify k into k
3.686 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
3.686 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
3.686 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
3.686 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
3.687 * [backup-simplify]: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) into (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k)))
3.687 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n
3.687 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
3.687 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
3.687 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
3.687 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
3.687 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
3.687 * [taylor]: Taking taylor expansion of 1/2 in n
3.687 * [backup-simplify]: Simplify 1/2 into 1/2
3.687 * [taylor]: Taking taylor expansion of (/ 1 k) in n
3.687 * [taylor]: Taking taylor expansion of k in n
3.687 * [backup-simplify]: Simplify k into k
3.688 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
3.688 * [taylor]: Taking taylor expansion of 1/2 in n
3.688 * [backup-simplify]: Simplify 1/2 into 1/2
3.688 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
3.688 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
3.688 * [taylor]: Taking taylor expansion of -2 in n
3.688 * [backup-simplify]: Simplify -2 into -2
3.688 * [taylor]: Taking taylor expansion of (/ PI n) in n
3.688 * [taylor]: Taking taylor expansion of PI in n
3.688 * [backup-simplify]: Simplify PI into PI
3.688 * [taylor]: Taking taylor expansion of n in n
3.688 * [backup-simplify]: Simplify 0 into 0
3.688 * [backup-simplify]: Simplify 1 into 1
3.688 * [backup-simplify]: Simplify (/ PI 1) into PI
3.689 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
3.690 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
3.690 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
3.690 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
3.691 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
3.693 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
3.694 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
3.694 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
3.694 * [taylor]: Taking taylor expansion of (/ -1 k) in n
3.694 * [taylor]: Taking taylor expansion of -1 in n
3.694 * [backup-simplify]: Simplify -1 into -1
3.694 * [taylor]: Taking taylor expansion of k in n
3.694 * [backup-simplify]: Simplify k into k
3.694 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
3.694 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
3.694 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
3.694 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
3.696 * [backup-simplify]: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) into (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k)))
3.696 * [taylor]: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k
3.696 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
3.696 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
3.696 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
3.696 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
3.696 * [taylor]: Taking taylor expansion of 1/2 in k
3.696 * [backup-simplify]: Simplify 1/2 into 1/2
3.696 * [taylor]: Taking taylor expansion of (/ 1 k) in k
3.696 * [taylor]: Taking taylor expansion of k in k
3.696 * [backup-simplify]: Simplify 0 into 0
3.696 * [backup-simplify]: Simplify 1 into 1
3.696 * [backup-simplify]: Simplify (/ 1 1) into 1
3.696 * [taylor]: Taking taylor expansion of 1/2 in k
3.696 * [backup-simplify]: Simplify 1/2 into 1/2
3.696 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
3.696 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
3.696 * [taylor]: Taking taylor expansion of (* -2 PI) in k
3.697 * [taylor]: Taking taylor expansion of -2 in k
3.697 * [backup-simplify]: Simplify -2 into -2
3.697 * [taylor]: Taking taylor expansion of PI in k
3.697 * [backup-simplify]: Simplify PI into PI
3.697 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
3.698 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
3.698 * [taylor]: Taking taylor expansion of (log n) in k
3.698 * [taylor]: Taking taylor expansion of n in k
3.698 * [backup-simplify]: Simplify n into n
3.698 * [backup-simplify]: Simplify (log n) into (log n)
3.699 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
3.699 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
3.699 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
3.700 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
3.701 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
3.703 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
3.703 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
3.703 * [taylor]: Taking taylor expansion of (/ -1 k) in k
3.703 * [taylor]: Taking taylor expansion of -1 in k
3.703 * [backup-simplify]: Simplify -1 into -1
3.703 * [taylor]: Taking taylor expansion of k in k
3.703 * [backup-simplify]: Simplify 0 into 0
3.703 * [backup-simplify]: Simplify 1 into 1
3.703 * [backup-simplify]: Simplify (/ -1 1) into -1
3.704 * [backup-simplify]: Simplify (sqrt 0) into 0
3.705 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
3.706 * [backup-simplify]: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) +nan.0) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
3.707 * [backup-simplify]: Simplify (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
3.708 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
3.709 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
3.710 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
3.710 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
3.710 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
3.710 * [backup-simplify]: Simplify (+ 0 0) into 0
3.711 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
3.712 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
3.713 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
3.714 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0
3.714 * [taylor]: Taking taylor expansion of 0 in k
3.714 * [backup-simplify]: Simplify 0 into 0
3.714 * [backup-simplify]: Simplify 0 into 0
3.715 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.717 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
3.718 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))
3.719 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))
3.720 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.720 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
3.722 * [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
3.722 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
3.723 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
3.723 * [backup-simplify]: Simplify (+ 0 0) into 0
3.724 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
3.725 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
3.727 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.727 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
3.727 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
3.728 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0
3.728 * [taylor]: Taking taylor expansion of 0 in k
3.728 * [backup-simplify]: Simplify 0 into 0
3.728 * [backup-simplify]: Simplify 0 into 0
3.728 * [backup-simplify]: Simplify 0 into 0
3.729 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.733 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
3.735 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))
3.736 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))
3.739 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k)) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2))) (- (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))))))))
3.739 * * * [progress]: simplifying candidates
3.739 * * * * [progress]: [ 1 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (+ (+ (log n) (log 2)) (log PI)) (- 1/2 (/ k 2)))) (sqrt k)))>
3.739 * * * * [progress]: [ 2 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2)))) (sqrt k)))>
3.739 * * * * [progress]: [ 3 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))) (sqrt k)))>
3.739 * * * * [progress]: [ 4 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))) (sqrt k)))>
3.739 * * * * [progress]: [ 5 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))>
3.739 * * * * [progress]: [ 6 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))>
3.739 * * * * [progress]: [ 7 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))>
3.739 * * * * [progress]: [ 8 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (/ k 2))) (sqrt k)))>
3.739 * * * * [progress]: [ 9 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (sqrt k)))>
3.739 * * * * [progress]: [ 10 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (sqrt k)))>
3.739 * * * * [progress]: [ 11 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))) (sqrt k)))>
3.739 * * * * [progress]: [ 12 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k)))>
3.739 * * * * [progress]: [ 13 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2)))) (- (sqrt 1/2) (/ (sqrt k) (sqrt 2)))) (sqrt k)))>
3.739 * * * * [progress]: [ 14 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))) (sqrt k)))>
3.739 * * * * [progress]: [ 15 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt k)))>
3.740 * * * * [progress]: [ 16 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt k)))>
3.740 * * * * [progress]: [ 17 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))>
3.740 * * * * [progress]: [ 18 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) (- 1/2 (/ k 2))) 1) (sqrt k)))>
3.740 * * * * [progress]: [ 19 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (log (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k)))>
3.740 * * * * [progress]: [ 20 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (log (exp (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k)))>
3.740 * * * * [progress]: [ 21 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k)))>
3.740 * * * * [progress]: [ 22 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (cbrt (* (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k)))>
3.740 * * * * [progress]: [ 23 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k)))>
3.740 * * * * [progress]: [ 24 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))>
3.740 * * * * [progress]: [ 25 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
3.740 * * * * [progress]: [ 26 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (posit16->real (real->posit16 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k)))>
3.740 * * * * [progress]: [ 27 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))) (sqrt k)))>
3.740 * * * * [progress]: [ 28 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))) (sqrt k)))>
3.740 * * * * [progress]: [ 29 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))) (sqrt k)))>
3.740 * * * * [progress]: [ 30 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (+ (+ (log n) (log 2)) (log PI))) (- 1/2 (/ k 2))) (sqrt k)))>
3.740 * * * * [progress]: [ 31 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (+ (log (* n 2)) (log PI))) (- 1/2 (/ k 2))) (sqrt k)))>
3.740 * * * * [progress]: [ 32 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (log (* (* n 2) PI))) (- 1/2 (/ k 2))) (sqrt k)))>
3.740 * * * * [progress]: [ 33 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (log (exp (* (* n 2) PI))) (- 1/2 (/ k 2))) (sqrt k)))>
3.740 * * * * [progress]: [ 34 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (* (* (* (* n n) n) (* (* 2 2) 2)) (* (* PI PI) PI))) (- 1/2 (/ k 2))) (sqrt k)))>
3.741 * * * * [progress]: [ 35 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (* (* (* (* n 2) (* n 2)) (* n 2)) (* (* PI PI) PI))) (- 1/2 (/ k 2))) (sqrt k)))>
3.741 * * * * [progress]: [ 36 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* (cbrt (* (* n 2) PI)) (cbrt (* (* n 2) PI))) (cbrt (* (* n 2) PI))) (- 1/2 (/ k 2))) (sqrt k)))>
3.741 * * * * [progress]: [ 37 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (* (* (* (* n 2) PI) (* (* n 2) PI)) (* (* n 2) PI))) (- 1/2 (/ k 2))) (sqrt k)))>
3.741 * * * * [progress]: [ 38 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (sqrt (* (* n 2) PI)) (sqrt (* (* n 2) PI))) (- 1/2 (/ k 2))) (sqrt k)))>
3.741 * * * * [progress]: [ 39 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 1 (* (* n 2) PI)) (- 1/2 (/ k 2))) (sqrt k)))>
3.741 * * * * [progress]: [ 40 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* (* n 2) (* (cbrt PI) (cbrt PI))) (cbrt PI)) (- 1/2 (/ k 2))) (sqrt k)))>
3.741 * * * * [progress]: [ 41 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* (* n 2) (sqrt PI)) (sqrt PI)) (- 1/2 (/ k 2))) (sqrt k)))>
3.741 * * * * [progress]: [ 42 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* (* n 2) 1) PI) (- 1/2 (/ k 2))) (sqrt k)))>
3.741 * * * * [progress]: [ 43 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))>
3.741 * * * * [progress]: [ 44 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (posit16->real (real->posit16 (* (* n 2) PI))) (- 1/2 (/ k 2))) (sqrt k)))>
3.741 * * * * [progress]: [ 45 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))>
3.741 * * * * [progress]: [ 46 / 127 ] simplifiying candidate #<alt (λ (k n) (pow (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)) 1))>
3.741 * * * * [progress]: [ 47 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (+ (+ (log n) (log 2)) (log PI)) (- 1/2 (/ k 2))) (log (sqrt k)))))>
3.741 * * * * [progress]: [ 48 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2))) (log (sqrt k)))))>
3.741 * * * * [progress]: [ 49 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))))>
3.742 * * * * [progress]: [ 50 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))))>
3.742 * * * * [progress]: [ 51 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (log (sqrt k)))))>
3.742 * * * * [progress]: [ 52 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (log (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))))>
3.742 * * * * [progress]: [ 53 / 127 ] simplifiying candidate #<alt (λ (k n) (log (exp (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))))>
3.742 * * * * [progress]: [ 54 / 127 ] simplifiying candidate #<alt (λ (k n) (cbrt (/ (* (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k)))))>
3.742 * * * * [progress]: [ 55 / 127 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))) (cbrt (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))))>
3.742 * * * * [progress]: [ 56 / 127 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))))>
3.742 * * * * [progress]: [ 57 / 127 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))))>
3.742 * * * * [progress]: [ 58 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (- (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (- (sqrt k))))>
3.742 * * * * [progress]: [ 59 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* n 2) PI) (- (/ k 2))) (cbrt (sqrt k)))))>
3.742 * * * * [progress]: [ 60 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (cbrt k)))))>
3.742 * * * * [progress]: [ 61 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (sqrt k)))))>
3.742 * * * * [progress]: [ 62 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) (sqrt 1)) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))))>
3.742 * * * * [progress]: [ 63 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (sqrt k)))))>
3.742 * * * * [progress]: [ 64 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) 1) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))))>
3.743 * * * * [progress]: [ 65 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* n 2) PI) (- (/ k 2))) (cbrt (sqrt k)))))>
3.743 * * * * [progress]: [ 66 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (cbrt k)))))>
3.743 * * * * [progress]: [ 67 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (sqrt k)))))>
3.743 * * * * [progress]: [ 68 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) (sqrt 1)) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))))>
3.743 * * * * [progress]: [ 69 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (sqrt k)))))>
3.743 * * * * [progress]: [ 70 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) 1) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))))>
3.743 * * * * [progress]: [ 71 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))))>
3.743 * * * * [progress]: [ 72 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (cbrt k)))))>
3.743 * * * * [progress]: [ 73 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))>
3.743 * * * * [progress]: [ 74 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt 1)) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))>
3.743 * * * * [progress]: [ 75 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))>
3.743 * * * * [progress]: [ 76 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) 1) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))>
3.743 * * * * [progress]: [ 77 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))>
3.743 * * * * [progress]: [ 78 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))))>
3.743 * * * * [progress]: [ 79 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))>
3.744 * * * * [progress]: [ 80 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))>
3.744 * * * * [progress]: [ 81 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))>
3.744 * * * * [progress]: [ 82 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))>
3.744 * * * * [progress]: [ 83 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))>
3.744 * * * * [progress]: [ 84 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))))>
3.744 * * * * [progress]: [ 85 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))>
3.744 * * * * [progress]: [ 86 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt 1)) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))>
3.744 * * * * [progress]: [ 87 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))>
3.744 * * * * [progress]: [ 88 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))>
3.744 * * * * [progress]: [ 89 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))>
3.744 * * * * [progress]: [ 90 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (cbrt k)))))>
3.744 * * * * [progress]: [ 91 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))>
3.744 * * * * [progress]: [ 92 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt 1)) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))))>
3.744 * * * * [progress]: [ 93 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))>
3.744 * * * * [progress]: [ 94 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))))>
3.745 * * * * [progress]: [ 95 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (cbrt (sqrt k)))))>
3.745 * * * * [progress]: [ 96 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (cbrt k)))))>
3.745 * * * * [progress]: [ 97 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))))>
3.745 * * * * [progress]: [ 98 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt 1)) (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt k))))>
3.745 * * * * [progress]: [ 99 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))))>
3.745 * * * * [progress]: [ 100 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) 1) (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt k))))>
3.745 * * * * [progress]: [ 101 / 127 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))))>
3.745 * * * * [progress]: [ 102 / 127 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ 1 (sqrt k))))>
3.745 * * * * [progress]: [ 103 / 127 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
3.745 * * * * [progress]: [ 104 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))>
3.745 * * * * [progress]: [ 105 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k))))>
3.745 * * * * [progress]: [ 106 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
3.745 * * * * [progress]: [ 107 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt 1)) (sqrt k)))>
3.745 * * * * [progress]: [ 108 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
3.745 * * * * [progress]: [ 109 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) 1) (sqrt k)))>
3.745 * * * * [progress]: [ 110 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) 1/2) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))))>
3.745 * * * * [progress]: [ 111 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) 1/2) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))))>
3.746 * * * * [progress]: [ 112 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
3.746 * * * * [progress]: [ 113 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
3.746 * * * * [progress]: [ 114 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
3.746 * * * * [progress]: [ 115 / 127 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
3.746 * * * * [progress]: [ 116 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)))))>
3.746 * * * * [progress]: [ 117 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) 1/2) (* (sqrt k) (pow (* (* n 2) PI) (/ k 2)))))>
3.746 * * * * [progress]: [ 118 / 127 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))))>
3.746 * * * * [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)))>
3.746 * * * * [progress]: [ 120 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (sqrt k)))>
3.746 * * * * [progress]: [ 121 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (sqrt k)))>
3.746 * * * * [progress]: [ 122 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))>
3.746 * * * * [progress]: [ 123 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))>
3.746 * * * * [progress]: [ 124 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))>
3.746 * * * * [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)))))))))))))))))))))))>
3.747 * * * * [progress]: [ 126 / 127 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k)) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))))))))>
3.747 * * * * [progress]: [ 127 / 127 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k)) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2))) (- (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))))))>
3.749 * [simplify]: Simplifying:
  (* (+ (+ (log n) (log 2)) (log PI)) (- 1/2 (/ k 2)))
  (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2)))
  (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))
  (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (pow (* (* n 2) PI) 1/2)
  (pow (* (* n 2) PI) (/ k 2))
  (pow (* (* n 2) PI) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow (* (* n 2) PI) (sqrt (- 1/2 (/ k 2))))
  (pow (* (* n 2) PI) 1)
  (pow (* (* n 2) PI) (+ (sqrt 1/2) (sqrt (/ k 2))))
  (pow (* (* n 2) PI) (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))))
  (pow (* (* n 2) PI) 1)
  (pow (* (* n 2) PI) 1/2)
  (pow (* (* n 2) PI) (- (/ k 2)))
  (pow (* (* n 2) PI) 1/2)
  (pow (* (* n 2) PI) (- (/ k 2)))
  (pow (* n 2) (- 1/2 (/ k 2)))
  (pow PI (- 1/2 (/ k 2)))
  (log (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (exp (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
  (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (* (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))
  (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))
  (real->posit16 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (* (* n 2) PI)
  (* (* n 2) PI)
  (+ (+ (log n) (log 2)) (log PI))
  (+ (log (* n 2)) (log PI))
  (log (* (* n 2) PI))
  (exp (* (* n 2) PI))
  (* (* (* (* n n) n) (* (* 2 2) 2)) (* (* PI PI) PI))
  (* (* (* (* n 2) (* n 2)) (* n 2)) (* (* PI PI) PI))
  (* (cbrt (* (* n 2) PI)) (cbrt (* (* n 2) PI)))
  (cbrt (* (* n 2) PI))
  (* (* (* (* n 2) PI) (* (* n 2) PI)) (* (* n 2) PI))
  (sqrt (* (* n 2) PI))
  (sqrt (* (* n 2) PI))
  (* (* n 2) (* (cbrt PI) (cbrt PI)))
  (* (* n 2) (sqrt PI))
  (* (* n 2) 1)
  (* 2 PI)
  (real->posit16 (* (* n 2) PI))
  (- (* (+ (+ (log n) (log 2)) (log PI)) (- 1/2 (/ k 2))) (log (sqrt k)))
  (- (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2))) (log (sqrt k)))
  (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))
  (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))
  (- (log (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (log (sqrt k)))
  (log (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))
  (exp (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))
  (/ (* (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k)))
  (* (cbrt (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))))
  (cbrt (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))
  (* (* (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))
  (sqrt (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))
  (sqrt (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))
  (- (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (- (sqrt k))
  (/ (pow (* (* n 2) PI) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* n 2) PI) (- (/ k 2))) (cbrt (sqrt k)))
  (/ (pow (* (* n 2) PI) 1/2) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (cbrt k)))
  (/ (pow (* (* n 2) PI) 1/2) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) 1/2) (sqrt 1))
  (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))
  (/ (pow (* (* n 2) PI) 1/2) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) 1/2) 1)
  (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))
  (/ (pow (* (* n 2) PI) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* n 2) PI) (- (/ k 2))) (cbrt (sqrt k)))
  (/ (pow (* (* n 2) PI) 1/2) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (cbrt k)))
  (/ (pow (* (* n 2) PI) 1/2) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) 1/2) (sqrt 1))
  (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))
  (/ (pow (* (* n 2) PI) 1/2) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) 1/2) 1)
  (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt (cbrt k)))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt 1))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) 1)
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))
  (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
  (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))
  (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1))
  (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))
  (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1)
  (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt 1))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))
  (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k)))
  (/ 1 (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ 1 (sqrt 1))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ 1 1)
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))
  (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (cbrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (cbrt k)))
  (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt 1))
  (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt k))
  (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) 1)
  (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt k))
  (/ 1 (sqrt k))
  (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt 1))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) 1)
  (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))
  (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))
  (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))
  (/ (sqrt k) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
  (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
  (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)))
  (* (sqrt k) (pow (* (* n 2) PI) (/ k 2)))
  (real->posit16 (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))
  (- (+ (* 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)))))
  (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))
  (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
  (* 2 (* n PI))
  (* 2 (* n PI))
  (* 2 (* n PI))
  (- (+ (* +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))))))))))))))))))))))
  (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k)) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2))))))))
  (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k)) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2))) (- (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))))))))
3.757 * * [simplify]: iteration 0: 271 enodes
3.860 * * [simplify]: iteration 1: 662 enodes
4.209 * * [simplify]: iteration 2: 2241 enodes
4.872 * * [simplify]: iteration complete: 5008 enodes
4.872 * * [simplify]: Extracting #0: cost 96 inf + 0
4.873 * * [simplify]: Extracting #1: cost 556 inf + 1
4.876 * * [simplify]: Extracting #2: cost 1197 inf + 932
4.885 * * [simplify]: Extracting #3: cost 1527 inf + 33350
4.923 * * [simplify]: Extracting #4: cost 1063 inf + 205576
5.041 * * [simplify]: Extracting #5: cost 381 inf + 501395
5.232 * * [simplify]: Extracting #6: cost 148 inf + 646155
5.414 * * [simplify]: Extracting #7: cost 56 inf + 693103
5.601 * * [simplify]: Extracting #8: cost 3 inf + 723366
5.769 * * [simplify]: Extracting #9: cost 0 inf + 713906
5.950 * * [simplify]: Extracting #10: cost 0 inf + 709106
6.136 * * [simplify]: Extracting #11: cost 0 inf + 708436
6.355 * [simplify]: Simplified to:
  (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))
  (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))
  (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))
  (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))
  (- 1/2 (* 1/2 k))
  (- 1/2 (* 1/2 k))
  (- 1/2 (* 1/2 k))
  (sqrt (* (* 2 PI) n))
  (pow (* (* 2 PI) n) (/ k 2))
  (pow (* (* 2 PI) n) (* (cbrt (- 1/2 (* 1/2 k))) (cbrt (- 1/2 (* 1/2 k)))))
  (pow (* (* 2 PI) n) (sqrt (- 1/2 (* 1/2 k))))
  (* (* 2 PI) n)
  (pow (* (* 2 PI) n) (+ (sqrt 1/2) (sqrt (/ k 2))))
  (pow (* (* 2 PI) n) (+ (/ (sqrt k) (sqrt 2)) (sqrt 1/2)))
  (* (* 2 PI) n)
  (sqrt (* (* 2 PI) n))
  (pow (* (* 2 PI) n) (* -1/2 k))
  (sqrt (* (* 2 PI) n))
  (pow (* (* 2 PI) n) (* -1/2 k))
  (pow (* n 2) (- 1/2 (* 1/2 k)))
  (pow PI (- 1/2 (* 1/2 k)))
  (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))
  (exp (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))))
  (* (cbrt (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k))))) (cbrt (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k))))))
  (cbrt (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))))
  (* (* (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))) (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k))))) (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))))
  (sqrt (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))))
  (sqrt (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))))
  (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))
  (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))
  (real->posit16 (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))))
  (* (* 2 PI) n)
  (* (* 2 PI) n)
  (log (* (* 2 PI) n))
  (log (* (* 2 PI) n))
  (log (* (* 2 PI) n))
  (* (exp (* PI n)) (exp (* PI n)))
  (* (* (* 2 PI) n) (* (* (* 2 PI) n) (* (* 2 PI) n)))
  (* (* (* 2 PI) n) (* (* (* 2 PI) n) (* (* 2 PI) n)))
  (* (cbrt (* (* 2 PI) n)) (cbrt (* (* 2 PI) n)))
  (cbrt (* (* 2 PI) n))
  (* (* (* 2 PI) n) (* (* (* 2 PI) n) (* (* 2 PI) n)))
  (sqrt (* (* 2 PI) n))
  (sqrt (* (* 2 PI) n))
  (* (* (cbrt PI) (* n 2)) (cbrt PI))
  (* 2 (* n (sqrt PI)))
  (* n 2)
  (* 2 PI)
  (real->posit16 (* (* 2 PI) n))
  (- (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k))) (log (sqrt k)))
  (- (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k))) (log (sqrt k)))
  (- (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k))) (log (sqrt k)))
  (- (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k))) (log (sqrt k)))
  (- (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k))) (log (sqrt k)))
  (- (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k))) (log (sqrt k)))
  (exp (/ (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))) (sqrt k)))
  (* (/ (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))) k) (* (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))) (/ (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))) (sqrt k))))
  (* (cbrt (/ (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))) (sqrt k))) (cbrt (/ (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))) (sqrt k))))
  (cbrt (/ (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))) (sqrt k)))
  (* (/ (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))) (sqrt k)) (* (/ (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))) (sqrt k)) (/ (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))) (sqrt k))))
  (sqrt (/ (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))) (sqrt k)))
  (sqrt (/ (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))) (sqrt k)))
  (- (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))))
  (- (sqrt k))
  (/ (/ (sqrt (* (* 2 PI) n)) (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (pow (* (* 2 PI) n) (* -1/2 k)) (cbrt (sqrt k)))
  (/ (sqrt (* (* 2 PI) n)) (fabs (cbrt k)))
  (/ (pow (* (* 2 PI) n) (* -1/2 k)) (sqrt (cbrt k)))
  (/ (sqrt (* (* 2 PI) n)) (sqrt (sqrt k)))
  (/ (pow (* (* 2 PI) n) (* -1/2 k)) (sqrt (sqrt k)))
  (sqrt (* (* 2 PI) n))
  (/ (pow (* (* 2 PI) n) (* -1/2 k)) (sqrt k))
  (/ (sqrt (* (* 2 PI) n)) (sqrt (sqrt k)))
  (/ (pow (* (* 2 PI) n) (* -1/2 k)) (sqrt (sqrt k)))
  (sqrt (* (* 2 PI) n))
  (/ (pow (* (* 2 PI) n) (* -1/2 k)) (sqrt k))
  (/ (/ (sqrt (* (* 2 PI) n)) (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (pow (* (* 2 PI) n) (* -1/2 k)) (cbrt (sqrt k)))
  (/ (sqrt (* (* 2 PI) n)) (fabs (cbrt k)))
  (/ (pow (* (* 2 PI) n) (* -1/2 k)) (sqrt (cbrt k)))
  (/ (sqrt (* (* 2 PI) n)) (sqrt (sqrt k)))
  (/ (pow (* (* 2 PI) n) (* -1/2 k)) (sqrt (sqrt k)))
  (sqrt (* (* 2 PI) n))
  (/ (pow (* (* 2 PI) n) (* -1/2 k)) (sqrt k))
  (/ (sqrt (* (* 2 PI) n)) (sqrt (sqrt k)))
  (/ (pow (* (* 2 PI) n) (* -1/2 k)) (sqrt (sqrt k)))
  (sqrt (* (* 2 PI) n))
  (/ (pow (* (* 2 PI) n) (* -1/2 k)) (sqrt k))
  (/ (/ (pow (* n 2) (- 1/2 (* 1/2 k))) (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (pow PI (- 1/2 (* 1/2 k))) (cbrt (sqrt k)))
  (/ (pow (* n 2) (- 1/2 (* 1/2 k))) (fabs (cbrt k)))
  (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt (cbrt k)))
  (/ (pow (* n 2) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))
  (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))
  (pow (* n 2) (- 1/2 (* 1/2 k)))
  (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))
  (/ (pow (* n 2) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))
  (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))
  (pow (* n 2) (- 1/2 (* 1/2 k)))
  (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))
  (* (/ (cbrt (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k))))) (cbrt (sqrt k))) (/ (cbrt (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k))))) (cbrt (sqrt k))))
  (/ (cbrt (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k))))) (cbrt (sqrt k)))
  (/ (cbrt (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k))))) (/ (fabs (cbrt k)) (cbrt (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))))))
  (/ (cbrt (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k))))) (sqrt (cbrt k)))
  (* (/ (cbrt (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k))))) (sqrt (sqrt k))) (cbrt (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k))))))
  (/ (cbrt (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k))))) (sqrt (sqrt k)))
  (* (cbrt (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k))))) (cbrt (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k))))))
  (/ (cbrt (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k))))) (sqrt k))
  (* (/ (cbrt (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k))))) (sqrt (sqrt k))) (cbrt (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k))))))
  (/ (cbrt (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k))))) (sqrt (sqrt k)))
  (* (cbrt (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k))))) (cbrt (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k))))))
  (/ (cbrt (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k))))) (sqrt k))
  (/ (sqrt (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k))))) (cbrt (sqrt k)))
  (/ (sqrt (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k))))) (fabs (cbrt k)))
  (/ (sqrt (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k))))) (sqrt (cbrt k)))
  (/ (sqrt (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k))))) (sqrt (sqrt k)))
  (/ (sqrt (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k))))) (sqrt (sqrt k)))
  (sqrt (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))))
  (/ (sqrt (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k))))) (sqrt k))
  (/ (sqrt (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k))))) (sqrt (sqrt k)))
  (/ (sqrt (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k))))) (sqrt (sqrt k)))
  (sqrt (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))))
  (/ (sqrt (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k))))) (sqrt k))
  (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))) (cbrt (sqrt k)))
  (/ 1 (fabs (cbrt k)))
  (/ (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))) (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))) (sqrt (sqrt k)))
  1
  (/ (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))) (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))) (sqrt (sqrt k)))
  1
  (/ (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))) (sqrt k))
  (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (cbrt (sqrt k)))
  (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (fabs (cbrt k)))
  (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (sqrt (cbrt k)))
  (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
  (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
  (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))
  (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (sqrt k))
  (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
  (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
  (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))
  (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (sqrt k))
  (/ 1 (sqrt k))
  (/ (sqrt k) (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))))
  (/ (/ (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))) (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))) (fabs (cbrt k)))
  (/ (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))) (sqrt (sqrt k)))
  (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k))))
  (/ (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))) (sqrt (sqrt k)))
  (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k))))
  (/ (sqrt k) (pow (* (* 2 PI) n) (* -1/2 k)))
  (/ (sqrt k) (pow (* (* 2 PI) n) (* -1/2 k)))
  (/ (sqrt k) (pow PI (- 1/2 (* 1/2 k))))
  (/ (sqrt k) (cbrt (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k))))))
  (/ (sqrt k) (sqrt (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k))))))
  (/ (sqrt k) (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))))
  (/ (sqrt k) (pow (* (* 2 PI) n) (- 1/4 (/ k 4))))
  (* (sqrt k) (pow (* (* 2 PI) n) (/ k 2)))
  (real->posit16 (/ (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))) (sqrt k)))
  (- (+ (+ (* (log (* 2 PI)) (* (* (* (* k k) (log n)) (sqrt (* (* 2 PI) n))) 1/4)) (sqrt (* (* 2 PI) n))) (* (* (* k k) 1/8) (+ (* (sqrt (* (* 2 PI) n)) (* (log (* 2 PI)) (log (* 2 PI)))) (* (sqrt (* (* 2 PI) n)) (* (log n) (log n)))))) (/ (* (* k (sqrt (* (* 2 PI) n))) (log (* (* 2 PI) n))) 2))
  (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k))))
  (exp (* (- 1/2 (* 1/2 k)) (- (log (* PI -2)) (log (/ -1 n)))))
  (* (* 2 PI) n)
  (* (* 2 PI) n)
  (* (* 2 PI) n)
  (+ (+ (* (- (log (* 2 PI))) (* (* (* k k) (* +nan.0 (sqrt (* (* 2 PI) n)))) (log n))) (* (* (* k k) (* +nan.0 (sqrt (* (* 2 PI) n)))) (- (log (* 2 PI)) (* (log n) (log n))))) (+ (+ (- (* k (* +nan.0 (sqrt (* (* 2 PI) n)))) (* +nan.0 (sqrt (* (* 2 PI) n)))) (* (* (* k k) (* +nan.0 (sqrt (* (* 2 PI) n)))) (- (* (log (* 2 PI)) (log (* 2 PI))) (log n)))) (- (* (* k k) (* +nan.0 (sqrt (* (* 2 PI) n)))) (* +nan.0 (* (* k (sqrt (* (* 2 PI) n))) (- (log (* 2 PI)) (log n)))))))
  (+ (/ (* (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))) (- +nan.0)) (* (* k k) k)) (* +nan.0 (- (/ (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))) k) (/ (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))) (* k k)))))
  (+ (- (* (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* PI -2)) (log (/ -1 n))))) k) +nan.0)) (* +nan.0 (- (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* PI -2)) (log (/ -1 n))))) (* k k)) (exp (* (- 1/2 (* 1/2 k)) (- (log (* PI -2)) (log (/ -1 n))))))))
6.365 * * * [progress]: adding candidates to table
7.010 * * [progress]: iteration 2 / 4
7.010 * * * [progress]: picking best candidate
7.061 * * * * [pick]: Picked  #<alt (λ (k n) (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ 1 (sqrt k))))>
7.061 * * * [progress]: localizing error
7.113 * * * [progress]: generating rewritten candidates
7.113 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1)
7.137 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2)
7.143 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1)
7.176 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
7.217 * * * [progress]: generating series expansions
7.217 * * * * [progress]: [ 1 / 4 ] generating series at (2 1)
7.217 * [backup-simplify]: Simplify (pow (* (* n 2) PI) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))
7.217 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0
7.217 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
7.217 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
7.217 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
7.217 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
7.217 * [taylor]: Taking taylor expansion of 1/2 in k
7.217 * [backup-simplify]: Simplify 1/2 into 1/2
7.217 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
7.217 * [taylor]: Taking taylor expansion of 1/2 in k
7.217 * [backup-simplify]: Simplify 1/2 into 1/2
7.218 * [taylor]: Taking taylor expansion of k in k
7.218 * [backup-simplify]: Simplify 0 into 0
7.218 * [backup-simplify]: Simplify 1 into 1
7.218 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
7.218 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
7.218 * [taylor]: Taking taylor expansion of 2 in k
7.218 * [backup-simplify]: Simplify 2 into 2
7.218 * [taylor]: Taking taylor expansion of (* n PI) in k
7.218 * [taylor]: Taking taylor expansion of n in k
7.218 * [backup-simplify]: Simplify n into n
7.218 * [taylor]: Taking taylor expansion of PI in k
7.218 * [backup-simplify]: Simplify PI into PI
7.218 * [backup-simplify]: Simplify (* n PI) into (* n PI)
7.218 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
7.218 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
7.218 * [backup-simplify]: Simplify (* 1/2 0) into 0
7.219 * [backup-simplify]: Simplify (- 0) into 0
7.219 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
7.219 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
7.219 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
7.219 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
7.219 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
7.219 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
7.219 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
7.219 * [taylor]: Taking taylor expansion of 1/2 in n
7.219 * [backup-simplify]: Simplify 1/2 into 1/2
7.219 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
7.219 * [taylor]: Taking taylor expansion of 1/2 in n
7.219 * [backup-simplify]: Simplify 1/2 into 1/2
7.219 * [taylor]: Taking taylor expansion of k in n
7.219 * [backup-simplify]: Simplify k into k
7.219 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
7.219 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
7.219 * [taylor]: Taking taylor expansion of 2 in n
7.219 * [backup-simplify]: Simplify 2 into 2
7.219 * [taylor]: Taking taylor expansion of (* n PI) in n
7.219 * [taylor]: Taking taylor expansion of n in n
7.219 * [backup-simplify]: Simplify 0 into 0
7.219 * [backup-simplify]: Simplify 1 into 1
7.219 * [taylor]: Taking taylor expansion of PI in n
7.219 * [backup-simplify]: Simplify PI into PI
7.220 * [backup-simplify]: Simplify (* 0 PI) into 0
7.220 * [backup-simplify]: Simplify (* 2 0) into 0
7.221 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
7.222 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
7.223 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
7.223 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
7.223 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
7.223 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
7.224 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
7.225 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
7.226 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
7.226 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
7.226 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
7.226 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
7.226 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
7.226 * [taylor]: Taking taylor expansion of 1/2 in n
7.226 * [backup-simplify]: Simplify 1/2 into 1/2
7.226 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
7.226 * [taylor]: Taking taylor expansion of 1/2 in n
7.226 * [backup-simplify]: Simplify 1/2 into 1/2
7.226 * [taylor]: Taking taylor expansion of k in n
7.226 * [backup-simplify]: Simplify k into k
7.227 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
7.227 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
7.227 * [taylor]: Taking taylor expansion of 2 in n
7.227 * [backup-simplify]: Simplify 2 into 2
7.227 * [taylor]: Taking taylor expansion of (* n PI) in n
7.227 * [taylor]: Taking taylor expansion of n in n
7.227 * [backup-simplify]: Simplify 0 into 0
7.227 * [backup-simplify]: Simplify 1 into 1
7.227 * [taylor]: Taking taylor expansion of PI in n
7.227 * [backup-simplify]: Simplify PI into PI
7.227 * [backup-simplify]: Simplify (* 0 PI) into 0
7.228 * [backup-simplify]: Simplify (* 2 0) into 0
7.229 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
7.231 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
7.232 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
7.232 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
7.232 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
7.232 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
7.233 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
7.234 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
7.236 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
7.236 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
7.236 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
7.236 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
7.236 * [taylor]: Taking taylor expansion of 1/2 in k
7.236 * [backup-simplify]: Simplify 1/2 into 1/2
7.236 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
7.236 * [taylor]: Taking taylor expansion of 1/2 in k
7.236 * [backup-simplify]: Simplify 1/2 into 1/2
7.236 * [taylor]: Taking taylor expansion of k in k
7.236 * [backup-simplify]: Simplify 0 into 0
7.236 * [backup-simplify]: Simplify 1 into 1
7.236 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
7.236 * [taylor]: Taking taylor expansion of (log n) in k
7.236 * [taylor]: Taking taylor expansion of n in k
7.236 * [backup-simplify]: Simplify n into n
7.236 * [backup-simplify]: Simplify (log n) into (log n)
7.236 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
7.236 * [taylor]: Taking taylor expansion of (* 2 PI) in k
7.236 * [taylor]: Taking taylor expansion of 2 in k
7.236 * [backup-simplify]: Simplify 2 into 2
7.236 * [taylor]: Taking taylor expansion of PI in k
7.236 * [backup-simplify]: Simplify PI into PI
7.237 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
7.238 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
7.238 * [backup-simplify]: Simplify (* 1/2 0) into 0
7.239 * [backup-simplify]: Simplify (- 0) into 0
7.239 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
7.240 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
7.241 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
7.242 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
7.243 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
7.245 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
7.246 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
7.248 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
7.248 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
7.249 * [backup-simplify]: Simplify (- 0) into 0
7.249 * [backup-simplify]: Simplify (+ 0 0) into 0
7.251 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
7.256 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
7.259 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
7.259 * [taylor]: Taking taylor expansion of 0 in k
7.259 * [backup-simplify]: Simplify 0 into 0
7.259 * [backup-simplify]: Simplify 0 into 0
7.260 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
7.261 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
7.263 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
7.264 * [backup-simplify]: Simplify (+ 0 0) into 0
7.264 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
7.265 * [backup-simplify]: Simplify (- 1/2) into -1/2
7.265 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
7.267 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
7.271 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
7.274 * [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)))))))
7.276 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
7.277 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
7.281 * [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
7.282 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
7.282 * [backup-simplify]: Simplify (- 0) into 0
7.283 * [backup-simplify]: Simplify (+ 0 0) into 0
7.284 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
7.286 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
7.288 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
7.289 * [taylor]: Taking taylor expansion of 0 in k
7.289 * [backup-simplify]: Simplify 0 into 0
7.289 * [backup-simplify]: Simplify 0 into 0
7.289 * [backup-simplify]: Simplify 0 into 0
7.291 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
7.292 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
7.296 * [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
7.296 * [backup-simplify]: Simplify (+ 0 0) into 0
7.297 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
7.298 * [backup-simplify]: Simplify (- 0) into 0
7.298 * [backup-simplify]: Simplify (+ 0 0) into 0
7.300 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
7.302 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 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)))))
7.306 * [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)))))
7.312 * [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)))))
7.312 * [backup-simplify]: Simplify (pow (* (* (/ 1 n) 2) PI) (- 1/2 (/ (/ 1 k) 2))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
7.312 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0
7.312 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
7.312 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
7.312 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
7.312 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
7.312 * [taylor]: Taking taylor expansion of 1/2 in k
7.312 * [backup-simplify]: Simplify 1/2 into 1/2
7.312 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
7.312 * [taylor]: Taking taylor expansion of 1/2 in k
7.312 * [backup-simplify]: Simplify 1/2 into 1/2
7.312 * [taylor]: Taking taylor expansion of (/ 1 k) in k
7.312 * [taylor]: Taking taylor expansion of k in k
7.312 * [backup-simplify]: Simplify 0 into 0
7.312 * [backup-simplify]: Simplify 1 into 1
7.312 * [backup-simplify]: Simplify (/ 1 1) into 1
7.312 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
7.313 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
7.313 * [taylor]: Taking taylor expansion of 2 in k
7.313 * [backup-simplify]: Simplify 2 into 2
7.313 * [taylor]: Taking taylor expansion of (/ PI n) in k
7.313 * [taylor]: Taking taylor expansion of PI in k
7.313 * [backup-simplify]: Simplify PI into PI
7.313 * [taylor]: Taking taylor expansion of n in k
7.313 * [backup-simplify]: Simplify n into n
7.313 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
7.313 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
7.313 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
7.313 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
7.313 * [backup-simplify]: Simplify (- 1/2) into -1/2
7.314 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
7.314 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
7.314 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
7.314 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
7.314 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
7.314 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
7.314 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
7.314 * [taylor]: Taking taylor expansion of 1/2 in n
7.314 * [backup-simplify]: Simplify 1/2 into 1/2
7.314 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
7.314 * [taylor]: Taking taylor expansion of 1/2 in n
7.314 * [backup-simplify]: Simplify 1/2 into 1/2
7.314 * [taylor]: Taking taylor expansion of (/ 1 k) in n
7.314 * [taylor]: Taking taylor expansion of k in n
7.314 * [backup-simplify]: Simplify k into k
7.314 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
7.314 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
7.314 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
7.314 * [taylor]: Taking taylor expansion of 2 in n
7.314 * [backup-simplify]: Simplify 2 into 2
7.314 * [taylor]: Taking taylor expansion of (/ PI n) in n
7.314 * [taylor]: Taking taylor expansion of PI in n
7.314 * [backup-simplify]: Simplify PI into PI
7.314 * [taylor]: Taking taylor expansion of n in n
7.314 * [backup-simplify]: Simplify 0 into 0
7.314 * [backup-simplify]: Simplify 1 into 1
7.314 * [backup-simplify]: Simplify (/ PI 1) into PI
7.315 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
7.315 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
7.315 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
7.316 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
7.316 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
7.316 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
7.317 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
7.318 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
7.318 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
7.318 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
7.318 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
7.318 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
7.318 * [taylor]: Taking taylor expansion of 1/2 in n
7.318 * [backup-simplify]: Simplify 1/2 into 1/2
7.318 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
7.319 * [taylor]: Taking taylor expansion of 1/2 in n
7.319 * [backup-simplify]: Simplify 1/2 into 1/2
7.319 * [taylor]: Taking taylor expansion of (/ 1 k) in n
7.319 * [taylor]: Taking taylor expansion of k in n
7.319 * [backup-simplify]: Simplify k into k
7.319 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
7.319 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
7.319 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
7.319 * [taylor]: Taking taylor expansion of 2 in n
7.319 * [backup-simplify]: Simplify 2 into 2
7.319 * [taylor]: Taking taylor expansion of (/ PI n) in n
7.319 * [taylor]: Taking taylor expansion of PI in n
7.319 * [backup-simplify]: Simplify PI into PI
7.319 * [taylor]: Taking taylor expansion of n in n
7.319 * [backup-simplify]: Simplify 0 into 0
7.319 * [backup-simplify]: Simplify 1 into 1
7.319 * [backup-simplify]: Simplify (/ PI 1) into PI
7.320 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
7.320 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
7.321 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
7.321 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
7.321 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
7.322 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
7.322 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
7.323 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
7.323 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
7.323 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
7.323 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
7.323 * [taylor]: Taking taylor expansion of 1/2 in k
7.323 * [backup-simplify]: Simplify 1/2 into 1/2
7.323 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
7.323 * [taylor]: Taking taylor expansion of 1/2 in k
7.323 * [backup-simplify]: Simplify 1/2 into 1/2
7.323 * [taylor]: Taking taylor expansion of (/ 1 k) in k
7.323 * [taylor]: Taking taylor expansion of k in k
7.323 * [backup-simplify]: Simplify 0 into 0
7.323 * [backup-simplify]: Simplify 1 into 1
7.324 * [backup-simplify]: Simplify (/ 1 1) into 1
7.324 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
7.324 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
7.324 * [taylor]: Taking taylor expansion of (* 2 PI) in k
7.324 * [taylor]: Taking taylor expansion of 2 in k
7.324 * [backup-simplify]: Simplify 2 into 2
7.324 * [taylor]: Taking taylor expansion of PI in k
7.324 * [backup-simplify]: Simplify PI into PI
7.324 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
7.325 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
7.325 * [taylor]: Taking taylor expansion of (log n) in k
7.325 * [taylor]: Taking taylor expansion of n in k
7.325 * [backup-simplify]: Simplify n into n
7.325 * [backup-simplify]: Simplify (log n) into (log n)
7.325 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
7.325 * [backup-simplify]: Simplify (- 1/2) into -1/2
7.326 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
7.326 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
7.326 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
7.327 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
7.328 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
7.329 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
7.330 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
7.331 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
7.333 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
7.333 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
7.334 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
7.334 * [backup-simplify]: Simplify (- 0) into 0
7.335 * [backup-simplify]: Simplify (+ 0 0) into 0
7.336 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
7.338 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
7.340 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
7.340 * [taylor]: Taking taylor expansion of 0 in k
7.340 * [backup-simplify]: Simplify 0 into 0
7.340 * [backup-simplify]: Simplify 0 into 0
7.340 * [backup-simplify]: Simplify 0 into 0
7.341 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.341 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
7.343 * [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
7.343 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
7.344 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
7.344 * [backup-simplify]: Simplify (- 0) into 0
7.344 * [backup-simplify]: Simplify (+ 0 0) into 0
7.345 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
7.346 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
7.347 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
7.347 * [taylor]: Taking taylor expansion of 0 in k
7.347 * [backup-simplify]: Simplify 0 into 0
7.347 * [backup-simplify]: Simplify 0 into 0
7.347 * [backup-simplify]: Simplify 0 into 0
7.348 * [backup-simplify]: Simplify 0 into 0
7.348 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.349 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
7.352 * [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
7.352 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
7.353 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
7.353 * [backup-simplify]: Simplify (- 0) into 0
7.354 * [backup-simplify]: Simplify (+ 0 0) into 0
7.354 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
7.356 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
7.357 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 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
7.358 * [taylor]: Taking taylor expansion of 0 in k
7.358 * [backup-simplify]: Simplify 0 into 0
7.358 * [backup-simplify]: Simplify 0 into 0
7.358 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))
7.359 * [backup-simplify]: Simplify (pow (* (* (/ 1 (- n)) 2) PI) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))
7.359 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0
7.359 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
7.359 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
7.359 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
7.359 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
7.359 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
7.359 * [taylor]: Taking taylor expansion of 1/2 in k
7.359 * [backup-simplify]: Simplify 1/2 into 1/2
7.359 * [taylor]: Taking taylor expansion of (/ 1 k) in k
7.359 * [taylor]: Taking taylor expansion of k in k
7.359 * [backup-simplify]: Simplify 0 into 0
7.359 * [backup-simplify]: Simplify 1 into 1
7.359 * [backup-simplify]: Simplify (/ 1 1) into 1
7.359 * [taylor]: Taking taylor expansion of 1/2 in k
7.359 * [backup-simplify]: Simplify 1/2 into 1/2
7.359 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
7.359 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
7.359 * [taylor]: Taking taylor expansion of -2 in k
7.359 * [backup-simplify]: Simplify -2 into -2
7.359 * [taylor]: Taking taylor expansion of (/ PI n) in k
7.359 * [taylor]: Taking taylor expansion of PI in k
7.359 * [backup-simplify]: Simplify PI into PI
7.359 * [taylor]: Taking taylor expansion of n in k
7.359 * [backup-simplify]: Simplify n into n
7.359 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
7.359 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
7.359 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
7.360 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
7.360 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
7.360 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
7.360 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) into (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))
7.360 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
7.360 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
7.360 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
7.360 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
7.360 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
7.360 * [taylor]: Taking taylor expansion of 1/2 in n
7.360 * [backup-simplify]: Simplify 1/2 into 1/2
7.360 * [taylor]: Taking taylor expansion of (/ 1 k) in n
7.360 * [taylor]: Taking taylor expansion of k in n
7.360 * [backup-simplify]: Simplify k into k
7.360 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
7.360 * [taylor]: Taking taylor expansion of 1/2 in n
7.360 * [backup-simplify]: Simplify 1/2 into 1/2
7.360 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
7.360 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
7.360 * [taylor]: Taking taylor expansion of -2 in n
7.360 * [backup-simplify]: Simplify -2 into -2
7.360 * [taylor]: Taking taylor expansion of (/ PI n) in n
7.360 * [taylor]: Taking taylor expansion of PI in n
7.360 * [backup-simplify]: Simplify PI into PI
7.360 * [taylor]: Taking taylor expansion of n in n
7.360 * [backup-simplify]: Simplify 0 into 0
7.361 * [backup-simplify]: Simplify 1 into 1
7.361 * [backup-simplify]: Simplify (/ PI 1) into PI
7.361 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
7.362 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
7.362 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
7.362 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
7.363 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
7.363 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
7.364 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
7.364 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
7.364 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
7.364 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
7.364 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
7.364 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
7.364 * [taylor]: Taking taylor expansion of 1/2 in n
7.364 * [backup-simplify]: Simplify 1/2 into 1/2
7.364 * [taylor]: Taking taylor expansion of (/ 1 k) in n
7.364 * [taylor]: Taking taylor expansion of k in n
7.364 * [backup-simplify]: Simplify k into k
7.364 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
7.365 * [taylor]: Taking taylor expansion of 1/2 in n
7.365 * [backup-simplify]: Simplify 1/2 into 1/2
7.365 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
7.365 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
7.365 * [taylor]: Taking taylor expansion of -2 in n
7.365 * [backup-simplify]: Simplify -2 into -2
7.365 * [taylor]: Taking taylor expansion of (/ PI n) in n
7.365 * [taylor]: Taking taylor expansion of PI in n
7.365 * [backup-simplify]: Simplify PI into PI
7.365 * [taylor]: Taking taylor expansion of n in n
7.365 * [backup-simplify]: Simplify 0 into 0
7.365 * [backup-simplify]: Simplify 1 into 1
7.365 * [backup-simplify]: Simplify (/ PI 1) into PI
7.365 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
7.366 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
7.366 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
7.366 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
7.367 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
7.370 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
7.371 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
7.371 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
7.371 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
7.371 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
7.371 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
7.371 * [taylor]: Taking taylor expansion of 1/2 in k
7.371 * [backup-simplify]: Simplify 1/2 into 1/2
7.371 * [taylor]: Taking taylor expansion of (/ 1 k) in k
7.371 * [taylor]: Taking taylor expansion of k in k
7.371 * [backup-simplify]: Simplify 0 into 0
7.371 * [backup-simplify]: Simplify 1 into 1
7.371 * [backup-simplify]: Simplify (/ 1 1) into 1
7.371 * [taylor]: Taking taylor expansion of 1/2 in k
7.371 * [backup-simplify]: Simplify 1/2 into 1/2
7.371 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
7.371 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
7.371 * [taylor]: Taking taylor expansion of (* -2 PI) in k
7.371 * [taylor]: Taking taylor expansion of -2 in k
7.371 * [backup-simplify]: Simplify -2 into -2
7.371 * [taylor]: Taking taylor expansion of PI in k
7.371 * [backup-simplify]: Simplify PI into PI
7.372 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
7.373 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
7.373 * [taylor]: Taking taylor expansion of (log n) in k
7.373 * [taylor]: Taking taylor expansion of n in k
7.373 * [backup-simplify]: Simplify n into n
7.373 * [backup-simplify]: Simplify (log n) into (log n)
7.373 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
7.374 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
7.374 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
7.375 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
7.376 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
7.377 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
7.379 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
7.380 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
7.381 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
7.383 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
7.383 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
7.384 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
7.384 * [backup-simplify]: Simplify (+ 0 0) into 0
7.386 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
7.387 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
7.389 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
7.389 * [taylor]: Taking taylor expansion of 0 in k
7.389 * [backup-simplify]: Simplify 0 into 0
7.389 * [backup-simplify]: Simplify 0 into 0
7.389 * [backup-simplify]: Simplify 0 into 0
7.390 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.392 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
7.395 * [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
7.396 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
7.397 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
7.397 * [backup-simplify]: Simplify (+ 0 0) into 0
7.399 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
7.401 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
7.403 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
7.403 * [taylor]: Taking taylor expansion of 0 in k
7.403 * [backup-simplify]: Simplify 0 into 0
7.404 * [backup-simplify]: Simplify 0 into 0
7.404 * [backup-simplify]: Simplify 0 into 0
7.404 * [backup-simplify]: Simplify 0 into 0
7.405 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.406 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
7.412 * [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
7.413 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
7.414 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
7.414 * [backup-simplify]: Simplify (+ 0 0) into 0
7.416 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
7.418 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
7.421 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
7.421 * [taylor]: Taking taylor expansion of 0 in k
7.421 * [backup-simplify]: Simplify 0 into 0
7.421 * [backup-simplify]: Simplify 0 into 0
7.422 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
7.422 * * * * [progress]: [ 2 / 4 ] generating series at (2 2)
7.422 * [backup-simplify]: Simplify (/ 1 (sqrt k)) into (sqrt (/ 1 k))
7.422 * [approximate]: Taking taylor expansion of (sqrt (/ 1 k)) in (k) around 0
7.422 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
7.422 * [taylor]: Taking taylor expansion of (/ 1 k) in k
7.423 * [taylor]: Taking taylor expansion of k in k
7.423 * [backup-simplify]: Simplify 0 into 0
7.423 * [backup-simplify]: Simplify 1 into 1
7.423 * [backup-simplify]: Simplify (/ 1 1) into 1
7.423 * [backup-simplify]: Simplify (sqrt 0) into 0
7.425 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.425 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
7.425 * [taylor]: Taking taylor expansion of (/ 1 k) in k
7.425 * [taylor]: Taking taylor expansion of k in k
7.425 * [backup-simplify]: Simplify 0 into 0
7.425 * [backup-simplify]: Simplify 1 into 1
7.425 * [backup-simplify]: Simplify (/ 1 1) into 1
7.426 * [backup-simplify]: Simplify (sqrt 0) into 0
7.427 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.427 * [backup-simplify]: Simplify 0 into 0
7.427 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.432 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
7.432 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.437 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
7.437 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.438 * [backup-simplify]: Simplify (+ (* +nan.0 (pow k 2)) (+ (* +nan.0 k) +nan.0)) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k))))))
7.438 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 k))) into (sqrt k)
7.438 * [approximate]: Taking taylor expansion of (sqrt k) in (k) around 0
7.438 * [taylor]: Taking taylor expansion of (sqrt k) in k
7.438 * [taylor]: Taking taylor expansion of k in k
7.438 * [backup-simplify]: Simplify 0 into 0
7.438 * [backup-simplify]: Simplify 1 into 1
7.438 * [backup-simplify]: Simplify (sqrt 0) into 0
7.440 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.440 * [taylor]: Taking taylor expansion of (sqrt k) in k
7.440 * [taylor]: Taking taylor expansion of k in k
7.440 * [backup-simplify]: Simplify 0 into 0
7.440 * [backup-simplify]: Simplify 1 into 1
7.440 * [backup-simplify]: Simplify (sqrt 0) into 0
7.441 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.442 * [backup-simplify]: Simplify 0 into 0
7.442 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.445 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
7.445 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.449 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
7.449 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.449 * [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))))))))
7.449 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 (- k)))) into (/ 1 (sqrt (/ -1 k)))
7.449 * [approximate]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in (k) around 0
7.449 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k
7.449 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
7.449 * [taylor]: Taking taylor expansion of (/ -1 k) in k
7.450 * [taylor]: Taking taylor expansion of -1 in k
7.450 * [backup-simplify]: Simplify -1 into -1
7.450 * [taylor]: Taking taylor expansion of k in k
7.450 * [backup-simplify]: Simplify 0 into 0
7.450 * [backup-simplify]: Simplify 1 into 1
7.450 * [backup-simplify]: Simplify (/ -1 1) into -1
7.451 * [backup-simplify]: Simplify (sqrt 0) into 0
7.452 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
7.452 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0
7.452 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k
7.452 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
7.452 * [taylor]: Taking taylor expansion of (/ -1 k) in k
7.452 * [taylor]: Taking taylor expansion of -1 in k
7.452 * [backup-simplify]: Simplify -1 into -1
7.452 * [taylor]: Taking taylor expansion of k in k
7.452 * [backup-simplify]: Simplify 0 into 0
7.452 * [backup-simplify]: Simplify 1 into 1
7.453 * [backup-simplify]: Simplify (/ -1 1) into -1
7.453 * [backup-simplify]: Simplify (sqrt 0) into 0
7.454 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
7.454 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0
7.454 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.455 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.456 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
7.458 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
7.458 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
7.459 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.461 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
7.463 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
7.464 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
7.464 * [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)))))
7.465 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1)
7.465 * [backup-simplify]: Simplify (* (* n 2) PI) into (* 2 (* n PI))
7.465 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
7.465 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
7.465 * [taylor]: Taking taylor expansion of 2 in n
7.465 * [backup-simplify]: Simplify 2 into 2
7.465 * [taylor]: Taking taylor expansion of (* n PI) in n
7.465 * [taylor]: Taking taylor expansion of n in n
7.465 * [backup-simplify]: Simplify 0 into 0
7.465 * [backup-simplify]: Simplify 1 into 1
7.465 * [taylor]: Taking taylor expansion of PI in n
7.465 * [backup-simplify]: Simplify PI into PI
7.465 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
7.465 * [taylor]: Taking taylor expansion of 2 in n
7.465 * [backup-simplify]: Simplify 2 into 2
7.465 * [taylor]: Taking taylor expansion of (* n PI) in n
7.465 * [taylor]: Taking taylor expansion of n in n
7.465 * [backup-simplify]: Simplify 0 into 0
7.465 * [backup-simplify]: Simplify 1 into 1
7.465 * [taylor]: Taking taylor expansion of PI in n
7.465 * [backup-simplify]: Simplify PI into PI
7.465 * [backup-simplify]: Simplify (* 0 PI) into 0
7.466 * [backup-simplify]: Simplify (* 2 0) into 0
7.466 * [backup-simplify]: Simplify 0 into 0
7.467 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
7.468 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
7.468 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
7.469 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
7.469 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
7.469 * [backup-simplify]: Simplify 0 into 0
7.470 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
7.471 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
7.471 * [backup-simplify]: Simplify 0 into 0
7.472 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
7.472 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
7.472 * [backup-simplify]: Simplify 0 into 0
7.473 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
7.474 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
7.474 * [backup-simplify]: Simplify 0 into 0
7.475 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
7.476 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
7.476 * [backup-simplify]: Simplify 0 into 0
7.478 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
7.479 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
7.479 * [backup-simplify]: Simplify 0 into 0
7.479 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
7.479 * [backup-simplify]: Simplify (* (* (/ 1 n) 2) PI) into (* 2 (/ PI n))
7.479 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
7.479 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
7.479 * [taylor]: Taking taylor expansion of 2 in n
7.479 * [backup-simplify]: Simplify 2 into 2
7.479 * [taylor]: Taking taylor expansion of (/ PI n) in n
7.479 * [taylor]: Taking taylor expansion of PI in n
7.480 * [backup-simplify]: Simplify PI into PI
7.480 * [taylor]: Taking taylor expansion of n in n
7.480 * [backup-simplify]: Simplify 0 into 0
7.480 * [backup-simplify]: Simplify 1 into 1
7.480 * [backup-simplify]: Simplify (/ PI 1) into PI
7.480 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
7.480 * [taylor]: Taking taylor expansion of 2 in n
7.480 * [backup-simplify]: Simplify 2 into 2
7.480 * [taylor]: Taking taylor expansion of (/ PI n) in n
7.480 * [taylor]: Taking taylor expansion of PI in n
7.480 * [backup-simplify]: Simplify PI into PI
7.480 * [taylor]: Taking taylor expansion of n in n
7.480 * [backup-simplify]: Simplify 0 into 0
7.480 * [backup-simplify]: Simplify 1 into 1
7.480 * [backup-simplify]: Simplify (/ PI 1) into PI
7.481 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
7.481 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
7.482 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
7.482 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
7.482 * [backup-simplify]: Simplify 0 into 0
7.483 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.483 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
7.483 * [backup-simplify]: Simplify 0 into 0
7.484 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.485 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
7.485 * [backup-simplify]: Simplify 0 into 0
7.486 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.488 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
7.488 * [backup-simplify]: Simplify 0 into 0
7.489 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.491 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
7.491 * [backup-simplify]: Simplify 0 into 0
7.492 * [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
7.494 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
7.494 * [backup-simplify]: Simplify 0 into 0
7.495 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
7.495 * [backup-simplify]: Simplify (* (* (/ 1 (- n)) 2) PI) into (* -2 (/ PI n))
7.495 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
7.495 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
7.495 * [taylor]: Taking taylor expansion of -2 in n
7.495 * [backup-simplify]: Simplify -2 into -2
7.495 * [taylor]: Taking taylor expansion of (/ PI n) in n
7.495 * [taylor]: Taking taylor expansion of PI in n
7.495 * [backup-simplify]: Simplify PI into PI
7.495 * [taylor]: Taking taylor expansion of n in n
7.495 * [backup-simplify]: Simplify 0 into 0
7.495 * [backup-simplify]: Simplify 1 into 1
7.496 * [backup-simplify]: Simplify (/ PI 1) into PI
7.496 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
7.496 * [taylor]: Taking taylor expansion of -2 in n
7.496 * [backup-simplify]: Simplify -2 into -2
7.496 * [taylor]: Taking taylor expansion of (/ PI n) in n
7.496 * [taylor]: Taking taylor expansion of PI in n
7.496 * [backup-simplify]: Simplify PI into PI
7.496 * [taylor]: Taking taylor expansion of n in n
7.496 * [backup-simplify]: Simplify 0 into 0
7.496 * [backup-simplify]: Simplify 1 into 1
7.496 * [backup-simplify]: Simplify (/ PI 1) into PI
7.497 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
7.497 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
7.501 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
7.502 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
7.502 * [backup-simplify]: Simplify 0 into 0
7.503 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.505 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
7.505 * [backup-simplify]: Simplify 0 into 0
7.506 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.507 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
7.507 * [backup-simplify]: Simplify 0 into 0
7.508 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.510 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
7.510 * [backup-simplify]: Simplify 0 into 0
7.511 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.513 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
7.513 * [backup-simplify]: Simplify 0 into 0
7.514 * [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
7.516 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
7.516 * [backup-simplify]: Simplify 0 into 0
7.517 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
7.517 * * * * [progress]: [ 4 / 4 ] generating series at (2)
7.517 * [backup-simplify]: Simplify (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ 1 (sqrt k))) into (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))))
7.517 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0
7.517 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
7.517 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
7.517 * [taylor]: Taking taylor expansion of (/ 1 k) in k
7.517 * [taylor]: Taking taylor expansion of k in k
7.517 * [backup-simplify]: Simplify 0 into 0
7.517 * [backup-simplify]: Simplify 1 into 1
7.518 * [backup-simplify]: Simplify (/ 1 1) into 1
7.518 * [backup-simplify]: Simplify (sqrt 0) into 0
7.520 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.520 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
7.520 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
7.520 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
7.520 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
7.520 * [taylor]: Taking taylor expansion of 1/2 in k
7.520 * [backup-simplify]: Simplify 1/2 into 1/2
7.520 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
7.520 * [taylor]: Taking taylor expansion of 1/2 in k
7.520 * [backup-simplify]: Simplify 1/2 into 1/2
7.520 * [taylor]: Taking taylor expansion of k in k
7.520 * [backup-simplify]: Simplify 0 into 0
7.520 * [backup-simplify]: Simplify 1 into 1
7.520 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
7.520 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
7.520 * [taylor]: Taking taylor expansion of 2 in k
7.520 * [backup-simplify]: Simplify 2 into 2
7.520 * [taylor]: Taking taylor expansion of (* n PI) in k
7.520 * [taylor]: Taking taylor expansion of n in k
7.520 * [backup-simplify]: Simplify n into n
7.520 * [taylor]: Taking taylor expansion of PI in k
7.520 * [backup-simplify]: Simplify PI into PI
7.520 * [backup-simplify]: Simplify (* n PI) into (* n PI)
7.520 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
7.520 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
7.521 * [backup-simplify]: Simplify (* 1/2 0) into 0
7.521 * [backup-simplify]: Simplify (- 0) into 0
7.522 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
7.522 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
7.522 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
7.522 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
7.522 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
7.522 * [taylor]: Taking taylor expansion of (/ 1 k) in n
7.522 * [taylor]: Taking taylor expansion of k in n
7.522 * [backup-simplify]: Simplify k into k
7.522 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
7.522 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
7.522 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
7.523 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
7.523 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
7.523 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
7.523 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
7.523 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
7.523 * [taylor]: Taking taylor expansion of 1/2 in n
7.523 * [backup-simplify]: Simplify 1/2 into 1/2
7.523 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
7.523 * [taylor]: Taking taylor expansion of 1/2 in n
7.523 * [backup-simplify]: Simplify 1/2 into 1/2
7.523 * [taylor]: Taking taylor expansion of k in n
7.523 * [backup-simplify]: Simplify k into k
7.523 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
7.523 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
7.523 * [taylor]: Taking taylor expansion of 2 in n
7.523 * [backup-simplify]: Simplify 2 into 2
7.523 * [taylor]: Taking taylor expansion of (* n PI) in n
7.523 * [taylor]: Taking taylor expansion of n in n
7.523 * [backup-simplify]: Simplify 0 into 0
7.523 * [backup-simplify]: Simplify 1 into 1
7.523 * [taylor]: Taking taylor expansion of PI in n
7.523 * [backup-simplify]: Simplify PI into PI
7.524 * [backup-simplify]: Simplify (* 0 PI) into 0
7.524 * [backup-simplify]: Simplify (* 2 0) into 0
7.526 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
7.527 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
7.528 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
7.529 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
7.529 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
7.529 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
7.531 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
7.532 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
7.534 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
7.534 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
7.534 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
7.534 * [taylor]: Taking taylor expansion of (/ 1 k) in n
7.534 * [taylor]: Taking taylor expansion of k in n
7.534 * [backup-simplify]: Simplify k into k
7.534 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
7.534 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
7.534 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
7.534 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
7.534 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
7.534 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
7.534 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
7.534 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
7.534 * [taylor]: Taking taylor expansion of 1/2 in n
7.534 * [backup-simplify]: Simplify 1/2 into 1/2
7.534 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
7.534 * [taylor]: Taking taylor expansion of 1/2 in n
7.534 * [backup-simplify]: Simplify 1/2 into 1/2
7.534 * [taylor]: Taking taylor expansion of k in n
7.534 * [backup-simplify]: Simplify k into k
7.534 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
7.534 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
7.535 * [taylor]: Taking taylor expansion of 2 in n
7.535 * [backup-simplify]: Simplify 2 into 2
7.535 * [taylor]: Taking taylor expansion of (* n PI) in n
7.535 * [taylor]: Taking taylor expansion of n in n
7.535 * [backup-simplify]: Simplify 0 into 0
7.535 * [backup-simplify]: Simplify 1 into 1
7.535 * [taylor]: Taking taylor expansion of PI in n
7.535 * [backup-simplify]: Simplify PI into PI
7.535 * [backup-simplify]: Simplify (* 0 PI) into 0
7.536 * [backup-simplify]: Simplify (* 2 0) into 0
7.537 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
7.539 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
7.540 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
7.540 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
7.540 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
7.541 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
7.542 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
7.544 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
7.545 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
7.546 * [backup-simplify]: Simplify (* (sqrt (/ 1 k)) (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) into (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k)))
7.546 * [taylor]: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k
7.546 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
7.546 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
7.547 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
7.547 * [taylor]: Taking taylor expansion of 1/2 in k
7.547 * [backup-simplify]: Simplify 1/2 into 1/2
7.547 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
7.547 * [taylor]: Taking taylor expansion of 1/2 in k
7.547 * [backup-simplify]: Simplify 1/2 into 1/2
7.547 * [taylor]: Taking taylor expansion of k in k
7.547 * [backup-simplify]: Simplify 0 into 0
7.547 * [backup-simplify]: Simplify 1 into 1
7.547 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
7.547 * [taylor]: Taking taylor expansion of (log n) in k
7.547 * [taylor]: Taking taylor expansion of n in k
7.547 * [backup-simplify]: Simplify n into n
7.547 * [backup-simplify]: Simplify (log n) into (log n)
7.547 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
7.547 * [taylor]: Taking taylor expansion of (* 2 PI) in k
7.547 * [taylor]: Taking taylor expansion of 2 in k
7.547 * [backup-simplify]: Simplify 2 into 2
7.547 * [taylor]: Taking taylor expansion of PI in k
7.547 * [backup-simplify]: Simplify PI into PI
7.548 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
7.549 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
7.549 * [backup-simplify]: Simplify (* 1/2 0) into 0
7.550 * [backup-simplify]: Simplify (- 0) into 0
7.550 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
7.551 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
7.553 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
7.554 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
7.554 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
7.554 * [taylor]: Taking taylor expansion of (/ 1 k) in k
7.554 * [taylor]: Taking taylor expansion of k in k
7.554 * [backup-simplify]: Simplify 0 into 0
7.554 * [backup-simplify]: Simplify 1 into 1
7.554 * [backup-simplify]: Simplify (/ 1 1) into 1
7.555 * [backup-simplify]: Simplify (sqrt 0) into 0
7.556 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.558 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0
7.558 * [backup-simplify]: Simplify 0 into 0
7.559 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
7.560 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
7.562 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
7.562 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
7.563 * [backup-simplify]: Simplify (- 0) into 0
7.563 * [backup-simplify]: Simplify (+ 0 0) into 0
7.564 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
7.566 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
7.568 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
7.569 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0
7.569 * [taylor]: Taking taylor expansion of 0 in k
7.569 * [backup-simplify]: Simplify 0 into 0
7.570 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
7.571 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
7.573 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
7.573 * [backup-simplify]: Simplify (+ 0 0) into 0
7.574 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
7.574 * [backup-simplify]: Simplify (- 1/2) into -1/2
7.575 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
7.576 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
7.580 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
7.584 * [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)))))))
7.585 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
7.587 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
7.588 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
7.592 * [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
7.593 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
7.593 * [backup-simplify]: Simplify (- 0) into 0
7.594 * [backup-simplify]: Simplify (+ 0 0) into 0
7.595 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
7.597 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
7.599 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
7.600 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
7.600 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
7.602 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0
7.602 * [taylor]: Taking taylor expansion of 0 in k
7.602 * [backup-simplify]: Simplify 0 into 0
7.602 * [backup-simplify]: Simplify 0 into 0
7.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.606 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
7.608 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
7.609 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
7.612 * [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
7.613 * [backup-simplify]: Simplify (+ 0 0) into 0
7.614 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
7.614 * [backup-simplify]: Simplify (- 0) into 0
7.615 * [backup-simplify]: Simplify (+ 0 0) into 0
7.616 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
7.619 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 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)))))
7.625 * [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))))))))
7.627 * [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))))))))
7.628 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
7.629 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
7.632 * [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
7.633 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0
7.633 * [backup-simplify]: Simplify (- 0) into 0
7.634 * [backup-simplify]: Simplify (+ 0 0) into 0
7.637 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
7.638 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
7.639 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
7.640 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
7.640 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0
7.641 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))))) into 0
7.641 * [taylor]: Taking taylor expansion of 0 in k
7.641 * [backup-simplify]: Simplify 0 into 0
7.641 * [backup-simplify]: Simplify 0 into 0
7.641 * [backup-simplify]: Simplify 0 into 0
7.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.644 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
7.646 * [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
7.647 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
7.650 * [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
7.650 * [backup-simplify]: Simplify (+ 0 0) into 0
7.651 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
7.652 * [backup-simplify]: Simplify (- 0) into 0
7.652 * [backup-simplify]: Simplify (+ 0 0) into 0
7.653 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
7.657 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 3) 6)) (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 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)))))))
7.673 * [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))))))))))))))
7.682 * [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))))))))))))))
7.693 * [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))))))))))))))))))))))
7.694 * [backup-simplify]: Simplify (* (pow (* (* (/ 1 n) 2) PI) (- 1/2 (/ (/ 1 k) 2))) (/ 1 (sqrt (/ 1 k)))) into (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))
7.694 * [approximate]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0
7.694 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
7.694 * [taylor]: Taking taylor expansion of (sqrt k) in k
7.694 * [taylor]: Taking taylor expansion of k in k
7.694 * [backup-simplify]: Simplify 0 into 0
7.694 * [backup-simplify]: Simplify 1 into 1
7.694 * [backup-simplify]: Simplify (sqrt 0) into 0
7.695 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.695 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
7.695 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
7.695 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
7.695 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
7.695 * [taylor]: Taking taylor expansion of 1/2 in k
7.695 * [backup-simplify]: Simplify 1/2 into 1/2
7.695 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
7.695 * [taylor]: Taking taylor expansion of 1/2 in k
7.695 * [backup-simplify]: Simplify 1/2 into 1/2
7.695 * [taylor]: Taking taylor expansion of (/ 1 k) in k
7.695 * [taylor]: Taking taylor expansion of k in k
7.695 * [backup-simplify]: Simplify 0 into 0
7.695 * [backup-simplify]: Simplify 1 into 1
7.695 * [backup-simplify]: Simplify (/ 1 1) into 1
7.695 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
7.695 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
7.695 * [taylor]: Taking taylor expansion of 2 in k
7.695 * [backup-simplify]: Simplify 2 into 2
7.695 * [taylor]: Taking taylor expansion of (/ PI n) in k
7.695 * [taylor]: Taking taylor expansion of PI in k
7.695 * [backup-simplify]: Simplify PI into PI
7.696 * [taylor]: Taking taylor expansion of n in k
7.696 * [backup-simplify]: Simplify n into n
7.696 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
7.696 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
7.696 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
7.696 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
7.696 * [backup-simplify]: Simplify (- 1/2) into -1/2
7.696 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
7.697 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
7.697 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
7.697 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
7.697 * [taylor]: Taking taylor expansion of (sqrt k) in n
7.697 * [taylor]: Taking taylor expansion of k in n
7.697 * [backup-simplify]: Simplify k into k
7.697 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
7.697 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
7.697 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
7.697 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
7.697 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
7.697 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
7.697 * [taylor]: Taking taylor expansion of 1/2 in n
7.697 * [backup-simplify]: Simplify 1/2 into 1/2
7.697 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
7.697 * [taylor]: Taking taylor expansion of 1/2 in n
7.697 * [backup-simplify]: Simplify 1/2 into 1/2
7.697 * [taylor]: Taking taylor expansion of (/ 1 k) in n
7.697 * [taylor]: Taking taylor expansion of k in n
7.697 * [backup-simplify]: Simplify k into k
7.697 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
7.697 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
7.697 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
7.697 * [taylor]: Taking taylor expansion of 2 in n
7.697 * [backup-simplify]: Simplify 2 into 2
7.697 * [taylor]: Taking taylor expansion of (/ PI n) in n
7.697 * [taylor]: Taking taylor expansion of PI in n
7.697 * [backup-simplify]: Simplify PI into PI
7.697 * [taylor]: Taking taylor expansion of n in n
7.697 * [backup-simplify]: Simplify 0 into 0
7.697 * [backup-simplify]: Simplify 1 into 1
7.697 * [backup-simplify]: Simplify (/ PI 1) into PI
7.698 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
7.698 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
7.698 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
7.698 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
7.699 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
7.699 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
7.700 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
7.701 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
7.701 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
7.701 * [taylor]: Taking taylor expansion of (sqrt k) in n
7.701 * [taylor]: Taking taylor expansion of k in n
7.701 * [backup-simplify]: Simplify k into k
7.701 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
7.701 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
7.701 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
7.701 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
7.701 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
7.701 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
7.701 * [taylor]: Taking taylor expansion of 1/2 in n
7.701 * [backup-simplify]: Simplify 1/2 into 1/2
7.701 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
7.701 * [taylor]: Taking taylor expansion of 1/2 in n
7.701 * [backup-simplify]: Simplify 1/2 into 1/2
7.701 * [taylor]: Taking taylor expansion of (/ 1 k) in n
7.701 * [taylor]: Taking taylor expansion of k in n
7.701 * [backup-simplify]: Simplify k into k
7.701 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
7.701 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
7.701 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
7.701 * [taylor]: Taking taylor expansion of 2 in n
7.701 * [backup-simplify]: Simplify 2 into 2
7.701 * [taylor]: Taking taylor expansion of (/ PI n) in n
7.701 * [taylor]: Taking taylor expansion of PI in n
7.701 * [backup-simplify]: Simplify PI into PI
7.701 * [taylor]: Taking taylor expansion of n in n
7.701 * [backup-simplify]: Simplify 0 into 0
7.701 * [backup-simplify]: Simplify 1 into 1
7.702 * [backup-simplify]: Simplify (/ PI 1) into PI
7.702 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
7.703 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
7.703 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
7.703 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
7.703 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
7.704 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
7.705 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
7.706 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
7.708 * [backup-simplify]: Simplify (* (sqrt k) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k))
7.708 * [taylor]: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k
7.708 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
7.708 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
7.708 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
7.708 * [taylor]: Taking taylor expansion of 1/2 in k
7.708 * [backup-simplify]: Simplify 1/2 into 1/2
7.708 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
7.708 * [taylor]: Taking taylor expansion of 1/2 in k
7.708 * [backup-simplify]: Simplify 1/2 into 1/2
7.708 * [taylor]: Taking taylor expansion of (/ 1 k) in k
7.708 * [taylor]: Taking taylor expansion of k in k
7.708 * [backup-simplify]: Simplify 0 into 0
7.708 * [backup-simplify]: Simplify 1 into 1
7.708 * [backup-simplify]: Simplify (/ 1 1) into 1
7.708 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
7.708 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
7.708 * [taylor]: Taking taylor expansion of (* 2 PI) in k
7.708 * [taylor]: Taking taylor expansion of 2 in k
7.708 * [backup-simplify]: Simplify 2 into 2
7.708 * [taylor]: Taking taylor expansion of PI in k
7.709 * [backup-simplify]: Simplify PI into PI
7.709 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
7.710 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
7.710 * [taylor]: Taking taylor expansion of (log n) in k
7.710 * [taylor]: Taking taylor expansion of n in k
7.710 * [backup-simplify]: Simplify n into n
7.710 * [backup-simplify]: Simplify (log n) into (log n)
7.711 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
7.711 * [backup-simplify]: Simplify (- 1/2) into -1/2
7.711 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
7.712 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
7.713 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
7.714 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
7.715 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
7.715 * [taylor]: Taking taylor expansion of (sqrt k) in k
7.715 * [taylor]: Taking taylor expansion of k in k
7.715 * [backup-simplify]: Simplify 0 into 0
7.715 * [backup-simplify]: Simplify 1 into 1
7.715 * [backup-simplify]: Simplify (sqrt 0) into 0
7.717 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.718 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0
7.718 * [backup-simplify]: Simplify 0 into 0
7.719 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
7.720 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
7.722 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
7.722 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
7.722 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
7.723 * [backup-simplify]: Simplify (- 0) into 0
7.723 * [backup-simplify]: Simplify (+ 0 0) into 0
7.725 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
7.726 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
7.728 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
7.729 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0
7.729 * [taylor]: Taking taylor expansion of 0 in k
7.729 * [backup-simplify]: Simplify 0 into 0
7.729 * [backup-simplify]: Simplify 0 into 0
7.731 * [backup-simplify]: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
7.733 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
7.734 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.735 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
7.741 * [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
7.742 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
7.743 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
7.743 * [backup-simplify]: Simplify (- 0) into 0
7.744 * [backup-simplify]: Simplify (+ 0 0) into 0
7.745 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
7.747 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
7.749 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
7.750 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
7.752 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0
7.752 * [taylor]: Taking taylor expansion of 0 in k
7.752 * [backup-simplify]: Simplify 0 into 0
7.752 * [backup-simplify]: Simplify 0 into 0
7.752 * [backup-simplify]: Simplify 0 into 0
7.755 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
7.757 * [backup-simplify]: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
7.758 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
7.759 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.761 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
7.767 * [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
7.767 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
7.768 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
7.769 * [backup-simplify]: Simplify (- 0) into 0
7.769 * [backup-simplify]: Simplify (+ 0 0) into 0
7.770 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
7.772 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
7.775 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 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
7.776 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
7.778 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))) into 0
7.778 * [taylor]: Taking taylor expansion of 0 in k
7.778 * [backup-simplify]: Simplify 0 into 0
7.778 * [backup-simplify]: Simplify 0 into 0
7.778 * [backup-simplify]: Simplify 0 into 0
7.778 * [backup-simplify]: Simplify 0 into 0
7.783 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
7.785 * [backup-simplify]: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
7.786 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
7.790 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k)) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2))))))))
7.791 * [backup-simplify]: Simplify (* (pow (* (* (/ 1 (- n)) 2) PI) (- 1/2 (/ (/ 1 (- k)) 2))) (/ 1 (sqrt (/ 1 (- k))))) into (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k)))
7.791 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0
7.791 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k
7.791 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
7.791 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
7.791 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
7.791 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
7.791 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
7.791 * [taylor]: Taking taylor expansion of 1/2 in k
7.791 * [backup-simplify]: Simplify 1/2 into 1/2
7.791 * [taylor]: Taking taylor expansion of (/ 1 k) in k
7.791 * [taylor]: Taking taylor expansion of k in k
7.791 * [backup-simplify]: Simplify 0 into 0
7.791 * [backup-simplify]: Simplify 1 into 1
7.792 * [backup-simplify]: Simplify (/ 1 1) into 1
7.792 * [taylor]: Taking taylor expansion of 1/2 in k
7.792 * [backup-simplify]: Simplify 1/2 into 1/2
7.792 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
7.792 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
7.792 * [taylor]: Taking taylor expansion of -2 in k
7.792 * [backup-simplify]: Simplify -2 into -2
7.792 * [taylor]: Taking taylor expansion of (/ PI n) in k
7.792 * [taylor]: Taking taylor expansion of PI in k
7.792 * [backup-simplify]: Simplify PI into PI
7.792 * [taylor]: Taking taylor expansion of n in k
7.792 * [backup-simplify]: Simplify n into n
7.792 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
7.792 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
7.792 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
7.793 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
7.793 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
7.793 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
7.793 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) into (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))
7.793 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
7.793 * [taylor]: Taking taylor expansion of (/ -1 k) in k
7.794 * [taylor]: Taking taylor expansion of -1 in k
7.794 * [backup-simplify]: Simplify -1 into -1
7.794 * [taylor]: Taking taylor expansion of k in k
7.794 * [backup-simplify]: Simplify 0 into 0
7.794 * [backup-simplify]: Simplify 1 into 1
7.794 * [backup-simplify]: Simplify (/ -1 1) into -1
7.794 * [backup-simplify]: Simplify (sqrt 0) into 0
7.796 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
7.796 * [backup-simplify]: Simplify (/ (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))
7.796 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n
7.796 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
7.796 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
7.796 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
7.796 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
7.796 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
7.796 * [taylor]: Taking taylor expansion of 1/2 in n
7.796 * [backup-simplify]: Simplify 1/2 into 1/2
7.796 * [taylor]: Taking taylor expansion of (/ 1 k) in n
7.797 * [taylor]: Taking taylor expansion of k in n
7.797 * [backup-simplify]: Simplify k into k
7.797 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
7.797 * [taylor]: Taking taylor expansion of 1/2 in n
7.797 * [backup-simplify]: Simplify 1/2 into 1/2
7.797 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
7.797 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
7.797 * [taylor]: Taking taylor expansion of -2 in n
7.797 * [backup-simplify]: Simplify -2 into -2
7.797 * [taylor]: Taking taylor expansion of (/ PI n) in n
7.797 * [taylor]: Taking taylor expansion of PI in n
7.797 * [backup-simplify]: Simplify PI into PI
7.797 * [taylor]: Taking taylor expansion of n in n
7.797 * [backup-simplify]: Simplify 0 into 0
7.797 * [backup-simplify]: Simplify 1 into 1
7.797 * [backup-simplify]: Simplify (/ PI 1) into PI
7.798 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
7.799 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
7.799 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
7.799 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
7.800 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
7.802 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
7.803 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
7.803 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
7.803 * [taylor]: Taking taylor expansion of (/ -1 k) in n
7.803 * [taylor]: Taking taylor expansion of -1 in n
7.803 * [backup-simplify]: Simplify -1 into -1
7.803 * [taylor]: Taking taylor expansion of k in n
7.803 * [backup-simplify]: Simplify k into k
7.803 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
7.803 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
7.803 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
7.804 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
7.805 * [backup-simplify]: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) into (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k)))
7.805 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n
7.805 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
7.805 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
7.805 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
7.805 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
7.805 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
7.805 * [taylor]: Taking taylor expansion of 1/2 in n
7.805 * [backup-simplify]: Simplify 1/2 into 1/2
7.805 * [taylor]: Taking taylor expansion of (/ 1 k) in n
7.805 * [taylor]: Taking taylor expansion of k in n
7.805 * [backup-simplify]: Simplify k into k
7.805 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
7.805 * [taylor]: Taking taylor expansion of 1/2 in n
7.805 * [backup-simplify]: Simplify 1/2 into 1/2
7.806 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
7.806 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
7.806 * [taylor]: Taking taylor expansion of -2 in n
7.806 * [backup-simplify]: Simplify -2 into -2
7.806 * [taylor]: Taking taylor expansion of (/ PI n) in n
7.806 * [taylor]: Taking taylor expansion of PI in n
7.806 * [backup-simplify]: Simplify PI into PI
7.806 * [taylor]: Taking taylor expansion of n in n
7.806 * [backup-simplify]: Simplify 0 into 0
7.806 * [backup-simplify]: Simplify 1 into 1
7.806 * [backup-simplify]: Simplify (/ PI 1) into PI
7.807 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
7.808 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
7.808 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
7.808 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
7.810 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
7.811 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
7.812 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
7.812 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
7.812 * [taylor]: Taking taylor expansion of (/ -1 k) in n
7.812 * [taylor]: Taking taylor expansion of -1 in n
7.812 * [backup-simplify]: Simplify -1 into -1
7.812 * [taylor]: Taking taylor expansion of k in n
7.812 * [backup-simplify]: Simplify k into k
7.812 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
7.812 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
7.812 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
7.813 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
7.814 * [backup-simplify]: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) into (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k)))
7.814 * [taylor]: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k
7.814 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
7.814 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
7.814 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
7.814 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
7.814 * [taylor]: Taking taylor expansion of 1/2 in k
7.814 * [backup-simplify]: Simplify 1/2 into 1/2
7.814 * [taylor]: Taking taylor expansion of (/ 1 k) in k
7.814 * [taylor]: Taking taylor expansion of k in k
7.814 * [backup-simplify]: Simplify 0 into 0
7.814 * [backup-simplify]: Simplify 1 into 1
7.815 * [backup-simplify]: Simplify (/ 1 1) into 1
7.815 * [taylor]: Taking taylor expansion of 1/2 in k
7.815 * [backup-simplify]: Simplify 1/2 into 1/2
7.815 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
7.815 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
7.815 * [taylor]: Taking taylor expansion of (* -2 PI) in k
7.815 * [taylor]: Taking taylor expansion of -2 in k
7.815 * [backup-simplify]: Simplify -2 into -2
7.815 * [taylor]: Taking taylor expansion of PI in k
7.815 * [backup-simplify]: Simplify PI into PI
7.815 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
7.817 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
7.817 * [taylor]: Taking taylor expansion of (log n) in k
7.817 * [taylor]: Taking taylor expansion of n in k
7.817 * [backup-simplify]: Simplify n into n
7.817 * [backup-simplify]: Simplify (log n) into (log n)
7.817 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
7.818 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
7.818 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
7.819 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
7.820 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
7.821 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
7.821 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
7.821 * [taylor]: Taking taylor expansion of (/ -1 k) in k
7.821 * [taylor]: Taking taylor expansion of -1 in k
7.821 * [backup-simplify]: Simplify -1 into -1
7.821 * [taylor]: Taking taylor expansion of k in k
7.821 * [backup-simplify]: Simplify 0 into 0
7.822 * [backup-simplify]: Simplify 1 into 1
7.822 * [backup-simplify]: Simplify (/ -1 1) into -1
7.822 * [backup-simplify]: Simplify (sqrt 0) into 0
7.824 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
7.825 * [backup-simplify]: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) +nan.0) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
7.826 * [backup-simplify]: Simplify (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
7.827 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
7.828 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
7.830 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
7.830 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
7.831 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
7.831 * [backup-simplify]: Simplify (+ 0 0) into 0
7.833 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
7.834 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
7.836 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
7.837 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0
7.837 * [taylor]: Taking taylor expansion of 0 in k
7.837 * [backup-simplify]: Simplify 0 into 0
7.838 * [backup-simplify]: Simplify 0 into 0
7.838 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.842 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
7.844 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))
7.845 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))
7.846 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.846 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
7.848 * [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
7.848 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
7.849 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
7.849 * [backup-simplify]: Simplify (+ 0 0) into 0
7.850 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
7.851 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
7.853 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
7.853 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
7.853 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
7.854 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0
7.854 * [taylor]: Taking taylor expansion of 0 in k
7.854 * [backup-simplify]: Simplify 0 into 0
7.854 * [backup-simplify]: Simplify 0 into 0
7.854 * [backup-simplify]: Simplify 0 into 0
7.855 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.857 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
7.859 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))
7.860 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))
7.863 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k)) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2))) (- (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))))))))
7.863 * * * [progress]: simplifying candidates
7.863 * * * * [progress]: [ 1 / 177 ] simplifiying candidate #<alt (λ (k n) (* (exp (* (+ (+ (log n) (log 2)) (log PI)) (- 1/2 (/ k 2)))) (/ 1 (sqrt k))))>
7.863 * * * * [progress]: [ 2 / 177 ] simplifiying candidate #<alt (λ (k n) (* (exp (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2)))) (/ 1 (sqrt k))))>
7.863 * * * * [progress]: [ 3 / 177 ] simplifiying candidate #<alt (λ (k n) (* (exp (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))) (/ 1 (sqrt k))))>
7.863 * * * * [progress]: [ 4 / 177 ] simplifiying candidate #<alt (λ (k n) (* (exp (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))) (/ 1 (sqrt k))))>
7.863 * * * * [progress]: [ 5 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* n 2) PI) (* 1 (- 1/2 (/ k 2)))) (/ 1 (sqrt k))))>
7.863 * * * * [progress]: [ 6 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* n 2) PI) (* 1 (- 1/2 (/ k 2)))) (/ 1 (sqrt k))))>
7.863 * * * * [progress]: [ 7 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* n 2) PI) (* 1 (- 1/2 (/ k 2)))) (/ 1 (sqrt k))))>
7.863 * * * * [progress]: [ 8 / 177 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (/ k 2))) (/ 1 (sqrt k))))>
7.863 * * * * [progress]: [ 9 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* (* n 2) PI) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (/ 1 (sqrt k))))>
7.863 * * * * [progress]: [ 10 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* (* n 2) PI) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (/ 1 (sqrt k))))>
7.863 * * * * [progress]: [ 11 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))) (/ 1 (sqrt k))))>
7.863 * * * * [progress]: [ 12 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* (* n 2) PI) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (/ 1 (sqrt k))))>
7.863 * * * * [progress]: [ 13 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* (* n 2) PI) (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2)))) (- (sqrt 1/2) (/ (sqrt k) (sqrt 2)))) (/ 1 (sqrt k))))>
7.864 * * * * [progress]: [ 14 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))) (/ 1 (sqrt k))))>
7.864 * * * * [progress]: [ 15 / 177 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (- (/ k 2)))) (/ 1 (sqrt k))))>
7.864 * * * * [progress]: [ 16 / 177 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (- (/ k 2)))) (/ 1 (sqrt k))))>
7.864 * * * * [progress]: [ 17 / 177 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ 1 (sqrt k))))>
7.864 * * * * [progress]: [ 18 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* (* n 2) PI) (- 1/2 (/ k 2))) 1) (/ 1 (sqrt k))))>
7.864 * * * * [progress]: [ 19 / 177 ] simplifiying candidate #<alt (λ (k n) (* (exp (log (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ 1 (sqrt k))))>
7.864 * * * * [progress]: [ 20 / 177 ] simplifiying candidate #<alt (λ (k n) (* (log (exp (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ 1 (sqrt k))))>
7.864 * * * * [progress]: [ 21 / 177 ] simplifiying candidate #<alt (λ (k n) (* (* (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ 1 (sqrt k))))>
7.864 * * * * [progress]: [ 22 / 177 ] simplifiying candidate #<alt (λ (k n) (* (cbrt (* (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ 1 (sqrt k))))>
7.864 * * * * [progress]: [ 23 / 177 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ 1 (sqrt k))))>
7.864 * * * * [progress]: [ 24 / 177 ] simplifiying candidate #<alt (λ (k n) (* (* 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ 1 (sqrt k))))>
7.864 * * * * [progress]: [ 25 / 177 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (/ 1 (sqrt k))))>
7.864 * * * * [progress]: [ 26 / 177 ] simplifiying candidate #<alt (λ (k n) (* (posit16->real (real->posit16 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ 1 (sqrt k))))>
7.864 * * * * [progress]: [ 27 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (pow (sqrt k) -1)))>
7.864 * * * * [progress]: [ 28 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (pow k (- 1/2))))>
7.864 * * * * [progress]: [ 29 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (pow (sqrt k) (- 1))))>
7.864 * * * * [progress]: [ 30 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (pow k (- (/ 1 2)))))>
7.864 * * * * [progress]: [ 31 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (pow (/ 1 (sqrt k)) 1)))>
7.864 * * * * [progress]: [ 32 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (exp (- (log (sqrt k))))))>
7.864 * * * * [progress]: [ 33 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (exp (- 0 (log (sqrt k))))))>
7.864 * * * * [progress]: [ 34 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (exp (- (log 1) (log (sqrt k))))))>
7.864 * * * * [progress]: [ 35 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (exp (log (/ 1 (sqrt k))))))>
7.864 * * * * [progress]: [ 36 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (log (exp (/ 1 (sqrt k))))))>
7.864 * * * * [progress]: [ 37 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (cbrt (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))))))>
7.864 * * * * [progress]: [ 38 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (cbrt (/ 1 (sqrt k))))))>
7.864 * * * * [progress]: [ 39 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (cbrt (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))))))>
7.865 * * * * [progress]: [ 40 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (* (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (sqrt k))))))>
7.865 * * * * [progress]: [ 41 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ (- 1) (- (sqrt k)))))>
7.865 * * * * [progress]: [ 42 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (* (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1) (cbrt (sqrt k))))))>
7.865 * * * * [progress]: [ 43 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1) (sqrt (cbrt k))))))>
7.865 * * * * [progress]: [ 44 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k))))))>
7.865 * * * * [progress]: [ 45 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ (cbrt 1) (sqrt k)))))>
7.865 * * * * [progress]: [ 46 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k))))))>
7.865 * * * * [progress]: [ 47 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (* (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (sqrt k)))))>
7.865 * * * * [progress]: [ 48 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (* (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (cbrt (sqrt k))))))>
7.865 * * * * [progress]: [ 49 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (* (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1) (sqrt (cbrt k))))))>
7.865 * * * * [progress]: [ 50 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (* (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k))))))>
7.865 * * * * [progress]: [ 51 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (* (/ (sqrt 1) (sqrt 1)) (/ (sqrt 1) (sqrt k)))))>
7.865 * * * * [progress]: [ 52 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (* (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k))))))>
7.865 * * * * [progress]: [ 53 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (* (/ (sqrt 1) 1) (/ (sqrt 1) (sqrt k)))))>
7.865 * * * * [progress]: [ 54 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k))))))>
7.865 * * * * [progress]: [ 55 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (* (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1 (sqrt (cbrt k))))))>
7.865 * * * * [progress]: [ 56 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k))))))>
7.865 * * * * [progress]: [ 57 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (* (/ 1 (sqrt 1)) (/ 1 (sqrt k)))))>
7.865 * * * * [progress]: [ 58 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k))))))>
7.865 * * * * [progress]: [ 59 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (* (/ 1 1) (/ 1 (sqrt k)))))>
7.865 * * * * [progress]: [ 60 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (* 1 (/ 1 (sqrt k)))))>
7.865 * * * * [progress]: [ 61 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (* 1 (/ 1 (sqrt k)))))>
7.865 * * * * [progress]: [ 62 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ 1 (/ (sqrt k) 1))))>
7.865 * * * * [progress]: [ 63 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k)))))>
7.865 * * * * [progress]: [ 64 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k)))))>
7.865 * * * * [progress]: [ 65 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k)))))>
7.866 * * * * [progress]: [ 66 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ (/ 1 (sqrt 1)) (sqrt k))))>
7.866 * * * * [progress]: [ 67 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k)))))>
7.866 * * * * [progress]: [ 68 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ (/ 1 1) (sqrt k))))>
7.866 * * * * [progress]: [ 69 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt k) (cbrt 1)))))>
7.866 * * * * [progress]: [ 70 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ (sqrt 1) (/ (sqrt k) (sqrt 1)))))>
7.866 * * * * [progress]: [ 71 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ 1 (/ (sqrt k) 1))))>
7.866 * * * * [progress]: [ 72 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (posit16->real (real->posit16 (/ 1 (sqrt k))))))>
7.866 * * * * [progress]: [ 73 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))) (/ 1 (sqrt k))))>
7.866 * * * * [progress]: [ 74 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))) (/ 1 (sqrt k))))>
7.866 * * * * [progress]: [ 75 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))) (/ 1 (sqrt k))))>
7.866 * * * * [progress]: [ 76 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (exp (+ (+ (log n) (log 2)) (log PI))) (- 1/2 (/ k 2))) (/ 1 (sqrt k))))>
7.866 * * * * [progress]: [ 77 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (exp (+ (log (* n 2)) (log PI))) (- 1/2 (/ k 2))) (/ 1 (sqrt k))))>
7.866 * * * * [progress]: [ 78 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (exp (log (* (* n 2) PI))) (- 1/2 (/ k 2))) (/ 1 (sqrt k))))>
7.866 * * * * [progress]: [ 79 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (log (exp (* (* n 2) PI))) (- 1/2 (/ k 2))) (/ 1 (sqrt k))))>
7.866 * * * * [progress]: [ 80 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (cbrt (* (* (* (* n n) n) (* (* 2 2) 2)) (* (* PI PI) PI))) (- 1/2 (/ k 2))) (/ 1 (sqrt k))))>
7.866 * * * * [progress]: [ 81 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (cbrt (* (* (* (* n 2) (* n 2)) (* n 2)) (* (* PI PI) PI))) (- 1/2 (/ k 2))) (/ 1 (sqrt k))))>
7.866 * * * * [progress]: [ 82 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* (cbrt (* (* n 2) PI)) (cbrt (* (* n 2) PI))) (cbrt (* (* n 2) PI))) (- 1/2 (/ k 2))) (/ 1 (sqrt k))))>
7.866 * * * * [progress]: [ 83 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (cbrt (* (* (* (* n 2) PI) (* (* n 2) PI)) (* (* n 2) PI))) (- 1/2 (/ k 2))) (/ 1 (sqrt k))))>
7.866 * * * * [progress]: [ 84 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (sqrt (* (* n 2) PI)) (sqrt (* (* n 2) PI))) (- 1/2 (/ k 2))) (/ 1 (sqrt k))))>
7.866 * * * * [progress]: [ 85 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 1 (* (* n 2) PI)) (- 1/2 (/ k 2))) (/ 1 (sqrt k))))>
7.866 * * * * [progress]: [ 86 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* (* n 2) (* (cbrt PI) (cbrt PI))) (cbrt PI)) (- 1/2 (/ k 2))) (/ 1 (sqrt k))))>
7.866 * * * * [progress]: [ 87 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* (* n 2) (sqrt PI)) (sqrt PI)) (- 1/2 (/ k 2))) (/ 1 (sqrt k))))>
7.866 * * * * [progress]: [ 88 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* (* n 2) 1) PI) (- 1/2 (/ k 2))) (/ 1 (sqrt k))))>
7.866 * * * * [progress]: [ 89 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (/ 1 (sqrt k))))>
7.866 * * * * [progress]: [ 90 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (posit16->real (real->posit16 (* (* n 2) PI))) (- 1/2 (/ k 2))) (/ 1 (sqrt k))))>
7.866 * * * * [progress]: [ 91 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (/ 1 (sqrt k))))>
7.867 * * * * [progress]: [ 92 / 177 ] simplifiying candidate #<alt (λ (k n) (pow (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ 1 (sqrt k))) 1))>
7.867 * * * * [progress]: [ 93 / 177 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (+ (+ (log n) (log 2)) (log PI)) (- 1/2 (/ k 2))) (- (log (sqrt k))))))>
7.867 * * * * [progress]: [ 94 / 177 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (+ (+ (log n) (log 2)) (log PI)) (- 1/2 (/ k 2))) (- 0 (log (sqrt k))))))>
7.867 * * * * [progress]: [ 95 / 177 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (+ (+ (log n) (log 2)) (log PI)) (- 1/2 (/ k 2))) (- (log 1) (log (sqrt k))))))>
7.867 * * * * [progress]: [ 96 / 177 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (+ (+ (log n) (log 2)) (log PI)) (- 1/2 (/ k 2))) (log (/ 1 (sqrt k))))))>
7.867 * * * * [progress]: [ 97 / 177 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2))) (- (log (sqrt k))))))>
7.867 * * * * [progress]: [ 98 / 177 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2))) (- 0 (log (sqrt k))))))>
7.867 * * * * [progress]: [ 99 / 177 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2))) (- (log 1) (log (sqrt k))))))>
7.867 * * * * [progress]: [ 100 / 177 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2))) (log (/ 1 (sqrt k))))))>
7.867 * * * * [progress]: [ 101 / 177 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (- (log (sqrt k))))))>
7.867 * * * * [progress]: [ 102 / 177 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (- 0 (log (sqrt k))))))>
7.867 * * * * [progress]: [ 103 / 177 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (- (log 1) (log (sqrt k))))))>
7.867 * * * * [progress]: [ 104 / 177 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (/ 1 (sqrt k))))))>
7.867 * * * * [progress]: [ 105 / 177 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (- (log (sqrt k))))))>
7.867 * * * * [progress]: [ 106 / 177 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (- 0 (log (sqrt k))))))>
7.867 * * * * [progress]: [ 107 / 177 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (- (log 1) (log (sqrt k))))))>
7.867 * * * * [progress]: [ 108 / 177 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (/ 1 (sqrt k))))))>
7.867 * * * * [progress]: [ 109 / 177 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (- (log (sqrt k))))))>
7.867 * * * * [progress]: [ 110 / 177 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (- 0 (log (sqrt k))))))>
7.867 * * * * [progress]: [ 111 / 177 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (- (log 1) (log (sqrt k))))))>
7.867 * * * * [progress]: [ 112 / 177 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (log (/ 1 (sqrt k))))))>
7.867 * * * * [progress]: [ 113 / 177 ] simplifiying candidate #<alt (λ (k n) (exp (log (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ 1 (sqrt k))))))>
7.867 * * * * [progress]: [ 114 / 177 ] simplifiying candidate #<alt (λ (k n) (log (exp (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ 1 (sqrt k))))))>
7.867 * * * * [progress]: [ 115 / 177 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))))))>
7.867 * * * * [progress]: [ 116 / 177 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))))))>
7.868 * * * * [progress]: [ 117 / 177 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ 1 (sqrt k)))) (cbrt (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ 1 (sqrt k))))) (cbrt (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ 1 (sqrt k))))))>
7.868 * * * * [progress]: [ 118 / 177 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ 1 (sqrt k))) (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ 1 (sqrt k)))) (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ 1 (sqrt k))))))>
7.868 * * * * [progress]: [ 119 / 177 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ 1 (sqrt k)))) (sqrt (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ 1 (sqrt k))))))>
7.868 * * * * [progress]: [ 120 / 177 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* (* n 2) PI) 1/2) 1) (* (pow (* (* n 2) PI) (/ k 2)) (sqrt k))))>
7.868 * * * * [progress]: [ 121 / 177 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ 1 (sqrt k)))))>
7.868 * * * * [progress]: [ 122 / 177 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))>
7.868 * * * * [progress]: [ 123 / 177 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt k)))) (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt k))))))>
7.868 * * * * [progress]: [ 124 / 177 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt 1) (sqrt (sqrt k)))) (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt 1) (sqrt (sqrt k))))))>
7.868 * * * * [progress]: [ 125 / 177 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt 1) (sqrt (sqrt k)))) (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt 1) (sqrt (sqrt k))))))>
7.868 * * * * [progress]: [ 126 / 177 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ 1 (sqrt (sqrt k)))) (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ 1 (sqrt (sqrt k))))))>
7.868 * * * * [progress]: [ 127 / 177 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ 1 (sqrt (sqrt k)))) (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ 1 (sqrt (sqrt k))))))>
7.868 * * * * [progress]: [ 128 / 177 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (/ 1 (sqrt k)))) (* (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (/ 1 (sqrt k))))))>
7.868 * * * * [progress]: [ 129 / 177 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) (* (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt 1) (sqrt (sqrt k))))))>
7.868 * * * * [progress]: [ 130 / 177 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) (* (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt 1) (sqrt (sqrt k))))))>
7.868 * * * * [progress]: [ 131 / 177 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (/ 1 (sqrt (sqrt k)))) (* (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (/ 1 (sqrt (sqrt k))))))>
7.868 * * * * [progress]: [ 132 / 177 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (/ 1 (sqrt (sqrt k)))) (* (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (/ 1 (sqrt (sqrt k))))))>
7.868 * * * * [progress]: [ 133 / 177 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k))))) (cbrt (/ 1 (sqrt k)))))>
7.868 * * * * [progress]: [ 134 / 177 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (/ 1 (sqrt k)))) (sqrt (/ 1 (sqrt k)))))>
7.868 * * * * [progress]: [ 135 / 177 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt 1) (cbrt (sqrt k)))))>
7.868 * * * * [progress]: [ 136 / 177 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k))))) (/ (cbrt 1) (sqrt (cbrt k)))))>
7.868 * * * * [progress]: [ 137 / 177 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k)))) (/ (cbrt 1) (sqrt (sqrt k)))))>
7.868 * * * * [progress]: [ 138 / 177 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ (* (cbrt 1) (cbrt 1)) (sqrt 1))) (/ (cbrt 1) (sqrt k))))>
7.868 * * * * [progress]: [ 139 / 177 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k)))) (/ (cbrt 1) (sqrt (sqrt k)))))>
7.868 * * * * [progress]: [ 140 / 177 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (cbrt 1) (sqrt k))))>
7.869 * * * * [progress]: [ 141 / 177 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt 1) (cbrt (sqrt k)))))>
7.869 * * * * [progress]: [ 142 / 177 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt 1) (sqrt (cbrt k)))))>
7.869 * * * * [progress]: [ 143 / 177 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ (sqrt 1) (sqrt (sqrt k)))) (/ (sqrt 1) (sqrt (sqrt k)))))>
7.869 * * * * [progress]: [ 144 / 177 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ (sqrt 1) (sqrt 1))) (/ (sqrt 1) (sqrt k))))>
7.869 * * * * [progress]: [ 145 / 177 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ (sqrt 1) (sqrt (sqrt k)))) (/ (sqrt 1) (sqrt (sqrt k)))))>
7.869 * * * * [progress]: [ 146 / 177 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ (sqrt 1) 1)) (/ (sqrt 1) (sqrt k))))>
7.869 * * * * [progress]: [ 147 / 177 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ 1 (cbrt (sqrt k)))))>
7.869 * * * * [progress]: [ 148 / 177 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ 1 (sqrt (* (cbrt k) (cbrt k))))) (/ 1 (sqrt (cbrt k)))))>
7.869 * * * * [progress]: [ 149 / 177 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ 1 (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k)))))>
7.869 * * * * [progress]: [ 150 / 177 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ 1 (sqrt 1))) (/ 1 (sqrt k))))>
7.869 * * * * [progress]: [ 151 / 177 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ 1 (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k)))))>
7.869 * * * * [progress]: [ 152 / 177 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ 1 1)) (/ 1 (sqrt k))))>
7.869 * * * * [progress]: [ 153 / 177 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) 1) (/ 1 (sqrt k))))>
7.869 * * * * [progress]: [ 154 / 177 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) 1) (/ 1 (sqrt k))))>
7.869 * * * * [progress]: [ 155 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* n 2) PI) 1/2) (* (pow (* (* n 2) PI) (- (/ k 2))) (/ 1 (sqrt k)))))>
7.869 * * * * [progress]: [ 156 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* n 2) PI) 1/2) (* (pow (* (* n 2) PI) (- (/ k 2))) (/ 1 (sqrt k)))))>
7.869 * * * * [progress]: [ 157 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (pow PI (- 1/2 (/ k 2))) (/ 1 (sqrt k)))))>
7.869 * * * * [progress]: [ 158 / 177 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ 1 (sqrt k)))))>
7.869 * * * * [progress]: [ 159 / 177 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ 1 (sqrt k)))))>
7.869 * * * * [progress]: [ 160 / 177 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ 1 (sqrt k)))))>
7.869 * * * * [progress]: [ 161 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (* (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (/ 1 (sqrt k)))))>
7.869 * * * * [progress]: [ 162 / 177 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) 1) (sqrt k)))>
7.869 * * * * [progress]: [ 163 / 177 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* (* n 2) PI) 1/2) (/ 1 (sqrt k))) (pow (* (* n 2) PI) (/ k 2))))>
7.869 * * * * [progress]: [ 164 / 177 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ 1 (sqrt k))))))>
7.869 * * * * [progress]: [ 165 / 177 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))>
7.869 * * * * [progress]: [ 166 / 177 ] 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))))>
7.870 * * * * [progress]: [ 167 / 177 ] simplifiying candidate #<alt (λ (k n) (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (/ 1 (sqrt k))))>
7.870 * * * * [progress]: [ 168 / 177 ] simplifiying candidate #<alt (λ (k n) (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (/ 1 (sqrt k))))>
7.870 * * * * [progress]: [ 169 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k))))))))>
7.870 * * * * [progress]: [ 170 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3))))))))))>
7.870 * * * * [progress]: [ 171 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0)))))))>
7.870 * * * * [progress]: [ 172 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (/ 1 (sqrt k))))>
7.870 * * * * [progress]: [ 173 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (/ 1 (sqrt k))))>
7.870 * * * * [progress]: [ 174 / 177 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (/ 1 (sqrt k))))>
7.870 * * * * [progress]: [ 175 / 177 ] 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)))))))))))))))))))))))>
7.870 * * * * [progress]: [ 176 / 177 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k)) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))))))))>
7.870 * * * * [progress]: [ 177 / 177 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k)) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2))) (- (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))))))>
7.874 * [simplify]: Simplifying:
  (* (+ (+ (log n) (log 2)) (log PI)) (- 1/2 (/ k 2)))
  (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2)))
  (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))
  (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (pow (* (* n 2) PI) 1/2)
  (pow (* (* n 2) PI) (/ k 2))
  (pow (* (* n 2) PI) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow (* (* n 2) PI) (sqrt (- 1/2 (/ k 2))))
  (pow (* (* n 2) PI) 1)
  (pow (* (* n 2) PI) (+ (sqrt 1/2) (sqrt (/ k 2))))
  (pow (* (* n 2) PI) (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))))
  (pow (* (* n 2) PI) 1)
  (pow (* (* n 2) PI) 1/2)
  (pow (* (* n 2) PI) (- (/ k 2)))
  (pow (* (* n 2) PI) 1/2)
  (pow (* (* n 2) PI) (- (/ k 2)))
  (pow (* n 2) (- 1/2 (/ k 2)))
  (pow PI (- 1/2 (/ k 2)))
  (log (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (exp (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
  (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (* (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))
  (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))
  (real->posit16 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (- 1/2)
  (- 1)
  (- (/ 1 2))
  (- (log (sqrt k)))
  (- 0 (log (sqrt k)))
  (- (log 1) (log (sqrt k)))
  (log (/ 1 (sqrt k)))
  (exp (/ 1 (sqrt k)))
  (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k)))
  (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k))))
  (cbrt (/ 1 (sqrt k)))
  (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k)))
  (sqrt (/ 1 (sqrt k)))
  (sqrt (/ 1 (sqrt k)))
  (- 1)
  (- (sqrt k))
  (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (cbrt 1) (cbrt (sqrt k)))
  (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k))))
  (/ (cbrt 1) (sqrt (cbrt k)))
  (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k)))
  (/ (cbrt 1) (sqrt (sqrt k)))
  (/ (* (cbrt 1) (cbrt 1)) (sqrt 1))
  (/ (cbrt 1) (sqrt k))
  (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k)))
  (/ (cbrt 1) (sqrt (sqrt k)))
  (/ (* (cbrt 1) (cbrt 1)) 1)
  (/ (cbrt 1) (sqrt k))
  (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt 1) (cbrt (sqrt k)))
  (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k))))
  (/ (sqrt 1) (sqrt (cbrt k)))
  (/ (sqrt 1) (sqrt (sqrt k)))
  (/ (sqrt 1) (sqrt (sqrt k)))
  (/ (sqrt 1) (sqrt 1))
  (/ (sqrt 1) (sqrt k))
  (/ (sqrt 1) (sqrt (sqrt k)))
  (/ (sqrt 1) (sqrt (sqrt k)))
  (/ (sqrt 1) 1)
  (/ (sqrt 1) (sqrt k))
  (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ 1 (cbrt (sqrt k)))
  (/ 1 (sqrt (* (cbrt k) (cbrt k))))
  (/ 1 (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt 1))
  (/ 1 (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 1)
  (/ 1 (sqrt k))
  (/ 1 (sqrt k))
  (/ (sqrt k) 1)
  (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ 1 (sqrt (* (cbrt k) (cbrt k))))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt 1))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 1)
  (/ (sqrt k) (cbrt 1))
  (/ (sqrt k) (sqrt 1))
  (/ (sqrt k) 1)
  (real->posit16 (/ 1 (sqrt k)))
  (* (* n 2) PI)
  (* (* n 2) PI)
  (+ (+ (log n) (log 2)) (log PI))
  (+ (log (* n 2)) (log PI))
  (log (* (* n 2) PI))
  (exp (* (* n 2) PI))
  (* (* (* (* n n) n) (* (* 2 2) 2)) (* (* PI PI) PI))
  (* (* (* (* n 2) (* n 2)) (* n 2)) (* (* PI PI) PI))
  (* (cbrt (* (* n 2) PI)) (cbrt (* (* n 2) PI)))
  (cbrt (* (* n 2) PI))
  (* (* (* (* n 2) PI) (* (* n 2) PI)) (* (* n 2) PI))
  (sqrt (* (* n 2) PI))
  (sqrt (* (* n 2) PI))
  (* (* n 2) (* (cbrt PI) (cbrt PI)))
  (* (* n 2) (sqrt PI))
  (* (* n 2) 1)
  (* 2 PI)
  (real->posit16 (* (* n 2) PI))
  (+ (* (+ (+ (log n) (log 2)) (log PI)) (- 1/2 (/ k 2))) (- (log (sqrt k))))
  (+ (* (+ (+ (log n) (log 2)) (log PI)) (- 1/2 (/ k 2))) (- 0 (log (sqrt k))))
  (+ (* (+ (+ (log n) (log 2)) (log PI)) (- 1/2 (/ k 2))) (- (log 1) (log (sqrt k))))
  (+ (* (+ (+ (log n) (log 2)) (log PI)) (- 1/2 (/ k 2))) (log (/ 1 (sqrt k))))
  (+ (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2))) (- (log (sqrt k))))
  (+ (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2))) (- 0 (log (sqrt k))))
  (+ (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2))) (- (log 1) (log (sqrt k))))
  (+ (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2))) (log (/ 1 (sqrt k))))
  (+ (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (- (log (sqrt k))))
  (+ (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (- 0 (log (sqrt k))))
  (+ (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (- (log 1) (log (sqrt k))))
  (+ (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (/ 1 (sqrt k))))
  (+ (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (- (log (sqrt k))))
  (+ (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (- 0 (log (sqrt k))))
  (+ (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (- (log 1) (log (sqrt k))))
  (+ (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (/ 1 (sqrt k))))
  (+ (log (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (- (log (sqrt k))))
  (+ (log (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (- 0 (log (sqrt k))))
  (+ (log (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (- (log 1) (log (sqrt k))))
  (+ (log (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (log (/ 1 (sqrt k))))
  (log (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ 1 (sqrt k))))
  (exp (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ 1 (sqrt k))))
  (* (* (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))))
  (* (* (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))))
  (* (cbrt (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ 1 (sqrt k)))) (cbrt (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ 1 (sqrt k)))))
  (cbrt (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ 1 (sqrt k))))
  (* (* (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ 1 (sqrt k))) (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ 1 (sqrt k)))) (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ 1 (sqrt k))))
  (sqrt (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ 1 (sqrt k))))
  (sqrt (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ 1 (sqrt k))))
  (* (pow (* (* n 2) PI) 1/2) 1)
  (* (pow (* (* n 2) PI) (/ k 2)) (sqrt k))
  (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt k))))
  (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt k))))
  (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt 1) (sqrt (sqrt k))))
  (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt 1) (sqrt (sqrt k))))
  (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt 1) (sqrt (sqrt k))))
  (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt 1) (sqrt (sqrt k))))
  (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ 1 (sqrt (sqrt k))))
  (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ 1 (sqrt (sqrt k))))
  (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ 1 (sqrt (sqrt k))))
  (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ 1 (sqrt (sqrt k))))
  (* (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (/ 1 (sqrt k))))
  (* (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (/ 1 (sqrt k))))
  (* (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt 1) (sqrt (sqrt k))))
  (* (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt 1) (sqrt (sqrt k))))
  (* (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt 1) (sqrt (sqrt k))))
  (* (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt 1) (sqrt (sqrt k))))
  (* (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (/ 1 (sqrt (sqrt k))))
  (* (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (/ 1 (sqrt (sqrt k))))
  (* (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (/ 1 (sqrt (sqrt k))))
  (* (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (/ 1 (sqrt (sqrt k))))
  (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))))
  (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (/ 1 (sqrt k))))
  (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
  (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))))
  (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))))
  (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)))
  (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))))
  (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ (* (cbrt 1) (cbrt 1)) 1))
  (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
  (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))))
  (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ (sqrt 1) (sqrt (sqrt k))))
  (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ (sqrt 1) (sqrt 1)))
  (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ (sqrt 1) (sqrt (sqrt k))))
  (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ (sqrt 1) 1))
  (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
  (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))))
  (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ 1 (sqrt (sqrt k))))
  (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ 1 (sqrt 1)))
  (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ 1 (sqrt (sqrt k))))
  (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ 1 1))
  (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) 1)
  (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) 1)
  (* (pow (* (* n 2) PI) (- (/ k 2))) (/ 1 (sqrt k)))
  (* (pow (* (* n 2) PI) (- (/ k 2))) (/ 1 (sqrt k)))
  (* (pow PI (- 1/2 (/ k 2))) (/ 1 (sqrt k)))
  (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ 1 (sqrt k)))
  (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ 1 (sqrt k)))
  (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ 1 (sqrt k)))
  (* (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (/ 1 (sqrt k)))
  (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) 1)
  (* (pow (* (* n 2) PI) 1/2) (/ 1 (sqrt k)))
  (real->posit16 (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ 1 (sqrt k))))
  (- (+ (* 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)))))
  (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))
  (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
  (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k))))))
  (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3))))))))
  (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0)))))
  (* 2 (* n PI))
  (* 2 (* n PI))
  (* 2 (* n PI))
  (- (+ (* +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))))))))))))))))))))))
  (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k)) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2))))))))
  (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k)) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2))) (- (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))))))))
7.877 * * [simplify]: iteration 0: 325 enodes
8.014 * * [simplify]: iteration 1: 868 enodes
8.448 * * [simplify]: iteration 2: 2908 enodes
9.337 * * [simplify]: iteration complete: 5000 enodes
9.337 * * [simplify]: Extracting #0: cost 83 inf + 0
9.339 * * [simplify]: Extracting #1: cost 471 inf + 3
9.342 * * [simplify]: Extracting #2: cost 929 inf + 2929
9.357 * * [simplify]: Extracting #3: cost 1155 inf + 28426
9.381 * * [simplify]: Extracting #4: cost 759 inf + 147921
9.446 * * [simplify]: Extracting #5: cost 326 inf + 315550
9.533 * * [simplify]: Extracting #6: cost 146 inf + 425855
9.651 * * [simplify]: Extracting #7: cost 33 inf + 480241
9.769 * * [simplify]: Extracting #8: cost 0 inf + 488075
9.860 * * [simplify]: Extracting #9: cost 0 inf + 485015
10.008 * * [simplify]: Extracting #10: cost 0 inf + 484655
10.168 * * [simplify]: Extracting #11: cost 0 inf + 484615
10.282 * [simplify]: Simplified to:
  (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))
  (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))
  (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))
  (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))
  (- 1/2 (/ k 2))
  (- 1/2 (/ k 2))
  (- 1/2 (/ k 2))
  (sqrt (* (* n 2) PI))
  (pow (* (* n 2) PI) (/ k 2))
  (pow (* (* n 2) PI) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow (* (* n 2) PI) (sqrt (- 1/2 (/ k 2))))
  (* (* n 2) PI)
  (pow (* (* n 2) PI) (+ (sqrt 1/2) (sqrt (/ k 2))))
  (pow (* (* n 2) PI) (+ (/ (sqrt k) (sqrt 2)) (sqrt 1/2)))
  (* (* n 2) PI)
  (sqrt (* (* n 2) PI))
  (pow (* (* n 2) PI) (/ (- k) 2))
  (sqrt (* (* n 2) PI))
  (pow (* (* n 2) PI) (/ (- k) 2))
  (pow (* n 2) (- 1/2 (/ k 2)))
  (pow PI (- 1/2 (/ k 2)))
  (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))
  (exp (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
  (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (* (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (pow (* (* n 2) PI) (- 1/4 (/ k 4)))
  (pow (* (* n 2) PI) (- 1/4 (/ k 4)))
  (real->posit16 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  -1/2
  -1
  -1/2
  (- (log (sqrt k)))
  (- (log (sqrt k)))
  (- (log (sqrt k)))
  (- (log (sqrt k)))
  (exp (/ 1 (sqrt k)))
  (/ (/ 1 k) (sqrt k))
  (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k))))
  (cbrt (/ 1 (sqrt k)))
  (/ (/ 1 k) (sqrt k))
  (sqrt (/ 1 (sqrt k)))
  (sqrt (/ 1 (sqrt k)))
  -1
  (- (sqrt k))
  (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ 1 (cbrt (sqrt k)))
  (/ 1 (fabs (cbrt k)))
  (/ 1 (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt (sqrt k)))
  1
  (/ 1 (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt (sqrt k)))
  1
  (/ 1 (sqrt k))
  (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ 1 (cbrt (sqrt k)))
  (/ 1 (fabs (cbrt k)))
  (/ 1 (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt (sqrt k)))
  1
  (/ 1 (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt (sqrt k)))
  1
  (/ 1 (sqrt k))
  (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ 1 (cbrt (sqrt k)))
  (/ 1 (fabs (cbrt k)))
  (/ 1 (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt (sqrt k)))
  1
  (/ 1 (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt (sqrt k)))
  1
  (/ 1 (sqrt k))
  (/ 1 (sqrt k))
  (sqrt k)
  (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ 1 (fabs (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  1
  (/ 1 (sqrt (sqrt k)))
  1
  (sqrt k)
  (sqrt k)
  (sqrt k)
  (real->posit16 (/ 1 (sqrt k)))
  (* (* n 2) PI)
  (* (* n 2) PI)
  (log (* (* n 2) PI))
  (log (* (* n 2) PI))
  (log (* (* n 2) PI))
  (exp (+ (* PI n) (* PI n)))
  (* (* n (* n n)) (* (* 8 (* PI PI)) PI))
  (* (* (* n 2) PI) (* (* (* n 2) PI) (* (* n 2) PI)))
  (* (cbrt (* (* n 2) PI)) (cbrt (* (* n 2) PI)))
  (cbrt (* (* n 2) PI))
  (* (* (* n 2) PI) (* (* (* n 2) PI) (* (* n 2) PI)))
  (sqrt (* (* n 2) PI))
  (sqrt (* (* n 2) PI))
  (* (cbrt PI) (* (cbrt PI) (* n 2)))
  (* 2 (* n (sqrt PI)))
  (* n 2)
  (* 2 PI)
  (real->posit16 (* (* n 2) PI))
  (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))
  (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))
  (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))
  (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))
  (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))
  (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))
  (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))
  (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))
  (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))
  (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))
  (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))
  (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))
  (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))
  (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))
  (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))
  (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))
  (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))
  (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))
  (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))
  (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))
  (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))
  (exp (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))
  (* (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)) (* (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))))
  (* (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)) (* (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))))
  (* (cbrt (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))))
  (cbrt (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))
  (* (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)) (* (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))))
  (sqrt (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))
  (sqrt (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))
  (sqrt (* (* n 2) PI))
  (* (sqrt k) (pow (* (* n 2) PI) (/ k 2)))
  (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt k))))
  (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt k))))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (* (pow (* (* n 2) PI) (- 1/4 (/ k 4))) (sqrt (/ 1 (sqrt k))))
  (* (pow (* (* n 2) PI) (- 1/4 (/ k 4))) (sqrt (/ 1 (sqrt k))))
  (/ (pow (* (* n 2) PI) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
  (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (* (sqrt (/ 1 (sqrt k))) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (fabs (cbrt k)))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (pow (* (* n 2) PI) (- 1/2 (/ k 2)))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (pow (* (* n 2) PI) (- 1/2 (/ k 2)))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (fabs (cbrt k)))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (pow (* (* n 2) PI) (- 1/2 (/ k 2)))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (pow (* (* n 2) PI) (- 1/2 (/ k 2)))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (fabs (cbrt k)))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (pow (* (* n 2) PI) (- 1/2 (/ k 2)))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (pow (* (* n 2) PI) (- 1/2 (/ k 2)))
  (pow (* (* n 2) PI) (- 1/2 (/ k 2)))
  (pow (* (* n 2) PI) (- 1/2 (/ k 2)))
  (/ (pow (* (* n 2) PI) (/ (- k) 2)) (sqrt k))
  (/ (pow (* (* n 2) PI) (/ (- k) 2)) (sqrt k))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))
  (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))
  (/ (pow (* (* n 2) PI) (- 1/4 (/ k 4))) (sqrt k))
  (pow (* (* n 2) PI) (- 1/2 (/ k 2)))
  (/ (sqrt (* (* n 2) PI)) (sqrt k))
  (real->posit16 (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))
  (+ (+ (+ (* (* (* (log n) (log n)) (sqrt (* (* n 2) PI))) (* (* k k) 1/8)) (* (* (* 1/8 (* (log (* 2 PI)) (log (* 2 PI)))) (* k k)) (sqrt (* (* n 2) PI)))) (sqrt (* (* n 2) PI))) (- (* (log (* 2 PI)) (* (* (* (sqrt (* (* n 2) PI)) (log n)) (* k k)) 1/4)) (/ (* k (+ (* (sqrt (* (* n 2) PI)) (log n)) (* (log (* 2 PI)) (sqrt (* (* n 2) PI))))) 2)))
  (exp (* (+ 1/2 (* -1/2 k)) (log (* (* n 2) PI))))
  (exp (* (- (log (* PI -2)) (log (/ -1 n))) (+ 1/2 (* -1/2 k))))
  (- (* (* k k) (- +nan.0)) (+ (- +nan.0) (* +nan.0 k)))
  (- (+ (- (/ +nan.0 (* k k)) (/ +nan.0 k)) (/ +nan.0 (* k (* k k)))))
  (- (- (/ +nan.0 (* k k)) (- (/ +nan.0 k) +nan.0)))
  (* (* n 2) PI)
  (* (* n 2) PI)
  (* (* n 2) PI)
  (+ (* (* +nan.0 (- (log (* 2 PI)))) (* (* (sqrt (* (* n 2) PI)) (log n)) (* k k))) (+ (- (* (* +nan.0 (log (* 2 PI))) (* (* k k) (sqrt (* (* n 2) PI)))) (* (* (* (sqrt (* (* n 2) PI)) +nan.0) (* (log n) (log n))) (* k k))) (+ (- (* (* (sqrt (* (* n 2) PI)) +nan.0) k) (* (sqrt (* (* n 2) PI)) +nan.0)) (- (* (* +nan.0 (* (log (* 2 PI)) (log (* 2 PI)))) (* (* k k) (sqrt (* (* n 2) PI)))) (+ (- (* +nan.0 (* (* (sqrt (* (* n 2) PI)) (log n)) (* k k))) (* (* (sqrt (* (* n 2) PI)) +nan.0) (* k k))) (* +nan.0 (+ (* (* (log (* 2 PI)) k) (sqrt (* (* n 2) PI))) (* (* (- (sqrt (* (* n 2) PI))) (log n)) k))))))))
  (- (- (* (/ (exp (* (+ 1/2 (* -1/2 k)) (log (* (* n 2) PI)))) (* k k)) (/ +nan.0 k)) (- (/ (* (exp (* (+ 1/2 (* -1/2 k)) (log (* (* n 2) PI)))) +nan.0) k) (* +nan.0 (/ (exp (* (+ 1/2 (* -1/2 k)) (log (* (* n 2) PI)))) (* k k))))))
  (- (+ (- (/ (* +nan.0 (exp (* (- (log (* PI -2)) (log (/ -1 n))) (+ 1/2 (* -1/2 k))))) k) (/ (* +nan.0 (exp (* (- (log (* PI -2)) (log (/ -1 n))) (+ 1/2 (* -1/2 k))))) (* k k))) (* +nan.0 (exp (* (- (log (* PI -2)) (log (/ -1 n))) (+ 1/2 (* -1/2 k)))))))
10.294 * * * [progress]: adding candidates to table
11.017 * * [progress]: iteration 3 / 4
11.017 * * * [progress]: picking best candidate
11.044 * * * * [pick]: Picked  #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
11.044 * * * [progress]: localizing error
11.071 * * * [progress]: generating rewritten candidates
11.071 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1)
11.083 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2)
11.097 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
11.134 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2)
11.185 * * * [progress]: generating series expansions
11.185 * * * * [progress]: [ 1 / 4 ] generating series at (2 1)
11.185 * [backup-simplify]: Simplify (pow (* n 2) (- 1/2 (/ k 2))) into (pow (* 2 n) (- 1/2 (* 1/2 k)))
11.185 * [approximate]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in (n k) around 0
11.185 * [taylor]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k
11.185 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k
11.185 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k
11.185 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
11.185 * [taylor]: Taking taylor expansion of 1/2 in k
11.185 * [backup-simplify]: Simplify 1/2 into 1/2
11.185 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
11.185 * [taylor]: Taking taylor expansion of 1/2 in k
11.185 * [backup-simplify]: Simplify 1/2 into 1/2
11.185 * [taylor]: Taking taylor expansion of k in k
11.185 * [backup-simplify]: Simplify 0 into 0
11.185 * [backup-simplify]: Simplify 1 into 1
11.185 * [taylor]: Taking taylor expansion of (log (* 2 n)) in k
11.185 * [taylor]: Taking taylor expansion of (* 2 n) in k
11.185 * [taylor]: Taking taylor expansion of 2 in k
11.185 * [backup-simplify]: Simplify 2 into 2
11.185 * [taylor]: Taking taylor expansion of n in k
11.185 * [backup-simplify]: Simplify n into n
11.185 * [backup-simplify]: Simplify (* 2 n) into (* 2 n)
11.185 * [backup-simplify]: Simplify (log (* 2 n)) into (log (* 2 n))
11.186 * [backup-simplify]: Simplify (* 1/2 0) into 0
11.186 * [backup-simplify]: Simplify (- 0) into 0
11.186 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
11.186 * [backup-simplify]: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n)))
11.187 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2)
11.187 * [taylor]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n
11.187 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n
11.187 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n
11.187 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
11.187 * [taylor]: Taking taylor expansion of 1/2 in n
11.187 * [backup-simplify]: Simplify 1/2 into 1/2
11.187 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
11.187 * [taylor]: Taking taylor expansion of 1/2 in n
11.187 * [backup-simplify]: Simplify 1/2 into 1/2
11.187 * [taylor]: Taking taylor expansion of k in n
11.187 * [backup-simplify]: Simplify k into k
11.187 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n
11.187 * [taylor]: Taking taylor expansion of (* 2 n) in n
11.187 * [taylor]: Taking taylor expansion of 2 in n
11.187 * [backup-simplify]: Simplify 2 into 2
11.187 * [taylor]: Taking taylor expansion of n in n
11.187 * [backup-simplify]: Simplify 0 into 0
11.187 * [backup-simplify]: Simplify 1 into 1
11.187 * [backup-simplify]: Simplify (* 2 0) into 0
11.187 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
11.188 * [backup-simplify]: Simplify (log 2) into (log 2)
11.188 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
11.188 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
11.188 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
11.188 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
11.189 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))
11.189 * [backup-simplify]: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))
11.189 * [taylor]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n
11.189 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n
11.189 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n
11.189 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
11.189 * [taylor]: Taking taylor expansion of 1/2 in n
11.189 * [backup-simplify]: Simplify 1/2 into 1/2
11.189 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
11.189 * [taylor]: Taking taylor expansion of 1/2 in n
11.189 * [backup-simplify]: Simplify 1/2 into 1/2
11.189 * [taylor]: Taking taylor expansion of k in n
11.189 * [backup-simplify]: Simplify k into k
11.189 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n
11.189 * [taylor]: Taking taylor expansion of (* 2 n) in n
11.189 * [taylor]: Taking taylor expansion of 2 in n
11.189 * [backup-simplify]: Simplify 2 into 2
11.189 * [taylor]: Taking taylor expansion of n in n
11.189 * [backup-simplify]: Simplify 0 into 0
11.189 * [backup-simplify]: Simplify 1 into 1
11.190 * [backup-simplify]: Simplify (* 2 0) into 0
11.190 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
11.190 * [backup-simplify]: Simplify (log 2) into (log 2)
11.190 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
11.190 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
11.190 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
11.191 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
11.191 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))
11.191 * [backup-simplify]: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))
11.192 * [taylor]: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k
11.192 * [taylor]: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k
11.192 * [taylor]: Taking taylor expansion of (+ (log 2) (log n)) in k
11.192 * [taylor]: Taking taylor expansion of (log 2) in k
11.192 * [taylor]: Taking taylor expansion of 2 in k
11.192 * [backup-simplify]: Simplify 2 into 2
11.192 * [backup-simplify]: Simplify (log 2) into (log 2)
11.192 * [taylor]: Taking taylor expansion of (log n) in k
11.192 * [taylor]: Taking taylor expansion of n in k
11.192 * [backup-simplify]: Simplify n into n
11.192 * [backup-simplify]: Simplify (log n) into (log n)
11.192 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
11.192 * [taylor]: Taking taylor expansion of 1/2 in k
11.192 * [backup-simplify]: Simplify 1/2 into 1/2
11.192 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
11.192 * [taylor]: Taking taylor expansion of 1/2 in k
11.192 * [backup-simplify]: Simplify 1/2 into 1/2
11.192 * [taylor]: Taking taylor expansion of k in k
11.192 * [backup-simplify]: Simplify 0 into 0
11.192 * [backup-simplify]: Simplify 1 into 1
11.192 * [backup-simplify]: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n))
11.193 * [backup-simplify]: Simplify (* 1/2 0) into 0
11.193 * [backup-simplify]: Simplify (- 0) into 0
11.193 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
11.193 * [backup-simplify]: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n)))
11.194 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n))))
11.194 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n))))
11.195 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
11.195 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
11.196 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
11.196 * [backup-simplify]: Simplify (- 0) into 0
11.196 * [backup-simplify]: Simplify (+ 0 0) into 0
11.197 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
11.197 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0
11.198 * [backup-simplify]: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0
11.198 * [taylor]: Taking taylor expansion of 0 in k
11.198 * [backup-simplify]: Simplify 0 into 0
11.198 * [backup-simplify]: Simplify 0 into 0
11.198 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
11.199 * [backup-simplify]: Simplify (- 1/2) into -1/2
11.199 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
11.200 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
11.200 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
11.201 * [backup-simplify]: Simplify (+ 0 0) into 0
11.202 * [backup-simplify]: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n))))
11.203 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n)))))
11.204 * [backup-simplify]: Simplify (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n)))))
11.206 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
11.208 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
11.209 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
11.210 * [backup-simplify]: Simplify (- 0) into 0
11.210 * [backup-simplify]: Simplify (+ 0 0) into 0
11.211 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
11.211 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0
11.213 * [backup-simplify]: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
11.213 * [taylor]: Taking taylor expansion of 0 in k
11.213 * [backup-simplify]: Simplify 0 into 0
11.213 * [backup-simplify]: Simplify 0 into 0
11.213 * [backup-simplify]: Simplify 0 into 0
11.214 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
11.215 * [backup-simplify]: Simplify (- 0) into 0
11.215 * [backup-simplify]: Simplify (+ 0 0) into 0
11.218 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
11.219 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
11.220 * [backup-simplify]: Simplify (+ 0 0) into 0
11.221 * [backup-simplify]: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0
11.223 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2)))))
11.226 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2)))))
11.231 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) (* k 1)) (exp (* 1/2 (+ (log 2) (log n)))))) into (- (+ (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k)))))
11.231 * [backup-simplify]: Simplify (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))
11.231 * [approximate]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0
11.231 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k
11.231 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k
11.231 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k
11.231 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
11.232 * [taylor]: Taking taylor expansion of 1/2 in k
11.232 * [backup-simplify]: Simplify 1/2 into 1/2
11.232 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
11.232 * [taylor]: Taking taylor expansion of 1/2 in k
11.232 * [backup-simplify]: Simplify 1/2 into 1/2
11.232 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.232 * [taylor]: Taking taylor expansion of k in k
11.232 * [backup-simplify]: Simplify 0 into 0
11.232 * [backup-simplify]: Simplify 1 into 1
11.232 * [backup-simplify]: Simplify (/ 1 1) into 1
11.232 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in k
11.232 * [taylor]: Taking taylor expansion of (/ 2 n) in k
11.232 * [taylor]: Taking taylor expansion of 2 in k
11.232 * [backup-simplify]: Simplify 2 into 2
11.232 * [taylor]: Taking taylor expansion of n in k
11.232 * [backup-simplify]: Simplify n into n
11.232 * [backup-simplify]: Simplify (/ 2 n) into (/ 2 n)
11.232 * [backup-simplify]: Simplify (log (/ 2 n)) into (log (/ 2 n))
11.233 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
11.233 * [backup-simplify]: Simplify (- 1/2) into -1/2
11.234 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
11.234 * [backup-simplify]: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n)))
11.234 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))
11.234 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
11.234 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n
11.234 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n
11.234 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
11.234 * [taylor]: Taking taylor expansion of 1/2 in n
11.234 * [backup-simplify]: Simplify 1/2 into 1/2
11.234 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
11.234 * [taylor]: Taking taylor expansion of 1/2 in n
11.234 * [backup-simplify]: Simplify 1/2 into 1/2
11.234 * [taylor]: Taking taylor expansion of (/ 1 k) in n
11.234 * [taylor]: Taking taylor expansion of k in n
11.234 * [backup-simplify]: Simplify k into k
11.234 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
11.234 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in n
11.234 * [taylor]: Taking taylor expansion of (/ 2 n) in n
11.234 * [taylor]: Taking taylor expansion of 2 in n
11.234 * [backup-simplify]: Simplify 2 into 2
11.234 * [taylor]: Taking taylor expansion of n in n
11.234 * [backup-simplify]: Simplify 0 into 0
11.234 * [backup-simplify]: Simplify 1 into 1
11.236 * [backup-simplify]: Simplify (/ 2 1) into 2
11.237 * [backup-simplify]: Simplify (log 2) into (log 2)
11.237 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
11.237 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
11.237 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
11.238 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
11.239 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))
11.239 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
11.239 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
11.239 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n
11.239 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n
11.239 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
11.240 * [taylor]: Taking taylor expansion of 1/2 in n
11.240 * [backup-simplify]: Simplify 1/2 into 1/2
11.240 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
11.240 * [taylor]: Taking taylor expansion of 1/2 in n
11.240 * [backup-simplify]: Simplify 1/2 into 1/2
11.240 * [taylor]: Taking taylor expansion of (/ 1 k) in n
11.240 * [taylor]: Taking taylor expansion of k in n
11.240 * [backup-simplify]: Simplify k into k
11.240 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
11.240 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in n
11.240 * [taylor]: Taking taylor expansion of (/ 2 n) in n
11.240 * [taylor]: Taking taylor expansion of 2 in n
11.240 * [backup-simplify]: Simplify 2 into 2
11.240 * [taylor]: Taking taylor expansion of n in n
11.240 * [backup-simplify]: Simplify 0 into 0
11.240 * [backup-simplify]: Simplify 1 into 1
11.240 * [backup-simplify]: Simplify (/ 2 1) into 2
11.241 * [backup-simplify]: Simplify (log 2) into (log 2)
11.241 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
11.241 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
11.241 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
11.242 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
11.242 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))
11.243 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
11.243 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k
11.243 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k
11.243 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
11.243 * [taylor]: Taking taylor expansion of 1/2 in k
11.243 * [backup-simplify]: Simplify 1/2 into 1/2
11.243 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
11.243 * [taylor]: Taking taylor expansion of 1/2 in k
11.243 * [backup-simplify]: Simplify 1/2 into 1/2
11.243 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.243 * [taylor]: Taking taylor expansion of k in k
11.244 * [backup-simplify]: Simplify 0 into 0
11.244 * [backup-simplify]: Simplify 1 into 1
11.244 * [backup-simplify]: Simplify (/ 1 1) into 1
11.244 * [taylor]: Taking taylor expansion of (- (log 2) (log n)) in k
11.244 * [taylor]: Taking taylor expansion of (log 2) in k
11.244 * [taylor]: Taking taylor expansion of 2 in k
11.244 * [backup-simplify]: Simplify 2 into 2
11.244 * [backup-simplify]: Simplify (log 2) into (log 2)
11.244 * [taylor]: Taking taylor expansion of (log n) in k
11.245 * [taylor]: Taking taylor expansion of n in k
11.245 * [backup-simplify]: Simplify n into n
11.245 * [backup-simplify]: Simplify (log n) into (log n)
11.245 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
11.245 * [backup-simplify]: Simplify (- 1/2) into -1/2
11.246 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
11.246 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
11.246 * [backup-simplify]: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n))
11.247 * [backup-simplify]: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n)))
11.247 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
11.248 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
11.249 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
11.250 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
11.251 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
11.251 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
11.251 * [backup-simplify]: Simplify (- 0) into 0
11.252 * [backup-simplify]: Simplify (+ 0 0) into 0
11.253 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
11.253 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0
11.254 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
11.254 * [taylor]: Taking taylor expansion of 0 in k
11.254 * [backup-simplify]: Simplify 0 into 0
11.254 * [backup-simplify]: Simplify 0 into 0
11.254 * [backup-simplify]: Simplify 0 into 0
11.255 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.258 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
11.258 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
11.259 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
11.259 * [backup-simplify]: Simplify (- 0) into 0
11.260 * [backup-simplify]: Simplify (+ 0 0) into 0
11.260 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
11.261 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0
11.263 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
11.263 * [taylor]: Taking taylor expansion of 0 in k
11.263 * [backup-simplify]: Simplify 0 into 0
11.263 * [backup-simplify]: Simplify 0 into 0
11.263 * [backup-simplify]: Simplify 0 into 0
11.263 * [backup-simplify]: Simplify 0 into 0
11.264 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.274 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0
11.274 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
11.276 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
11.276 * [backup-simplify]: Simplify (- 0) into 0
11.276 * [backup-simplify]: Simplify (+ 0 0) into 0
11.277 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
11.278 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0
11.280 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
11.280 * [taylor]: Taking taylor expansion of 0 in k
11.280 * [backup-simplify]: Simplify 0 into 0
11.280 * [backup-simplify]: Simplify 0 into 0
11.281 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))) into (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))
11.281 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))
11.281 * [approximate]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0
11.281 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k
11.281 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k
11.281 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k
11.281 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
11.281 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
11.281 * [taylor]: Taking taylor expansion of 1/2 in k
11.281 * [backup-simplify]: Simplify 1/2 into 1/2
11.281 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.281 * [taylor]: Taking taylor expansion of k in k
11.281 * [backup-simplify]: Simplify 0 into 0
11.281 * [backup-simplify]: Simplify 1 into 1
11.282 * [backup-simplify]: Simplify (/ 1 1) into 1
11.282 * [taylor]: Taking taylor expansion of 1/2 in k
11.282 * [backup-simplify]: Simplify 1/2 into 1/2
11.282 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in k
11.282 * [taylor]: Taking taylor expansion of (/ -2 n) in k
11.282 * [taylor]: Taking taylor expansion of -2 in k
11.282 * [backup-simplify]: Simplify -2 into -2
11.282 * [taylor]: Taking taylor expansion of n in k
11.282 * [backup-simplify]: Simplify n into n
11.282 * [backup-simplify]: Simplify (/ -2 n) into (/ -2 n)
11.282 * [backup-simplify]: Simplify (log (/ -2 n)) into (log (/ -2 n))
11.283 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
11.283 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
11.283 * [backup-simplify]: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n)))
11.283 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))
11.283 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
11.283 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n
11.283 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n
11.283 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
11.283 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
11.283 * [taylor]: Taking taylor expansion of 1/2 in n
11.283 * [backup-simplify]: Simplify 1/2 into 1/2
11.283 * [taylor]: Taking taylor expansion of (/ 1 k) in n
11.283 * [taylor]: Taking taylor expansion of k in n
11.283 * [backup-simplify]: Simplify k into k
11.284 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
11.284 * [taylor]: Taking taylor expansion of 1/2 in n
11.284 * [backup-simplify]: Simplify 1/2 into 1/2
11.284 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in n
11.284 * [taylor]: Taking taylor expansion of (/ -2 n) in n
11.284 * [taylor]: Taking taylor expansion of -2 in n
11.284 * [backup-simplify]: Simplify -2 into -2
11.284 * [taylor]: Taking taylor expansion of n in n
11.284 * [backup-simplify]: Simplify 0 into 0
11.284 * [backup-simplify]: Simplify 1 into 1
11.284 * [backup-simplify]: Simplify (/ -2 1) into -2
11.285 * [backup-simplify]: Simplify (log -2) into (log -2)
11.285 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
11.285 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
11.285 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
11.286 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))
11.287 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
11.287 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
11.287 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n
11.287 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n
11.287 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
11.287 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
11.287 * [taylor]: Taking taylor expansion of 1/2 in n
11.287 * [backup-simplify]: Simplify 1/2 into 1/2
11.287 * [taylor]: Taking taylor expansion of (/ 1 k) in n
11.287 * [taylor]: Taking taylor expansion of k in n
11.287 * [backup-simplify]: Simplify k into k
11.287 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
11.287 * [taylor]: Taking taylor expansion of 1/2 in n
11.287 * [backup-simplify]: Simplify 1/2 into 1/2
11.287 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in n
11.287 * [taylor]: Taking taylor expansion of (/ -2 n) in n
11.287 * [taylor]: Taking taylor expansion of -2 in n
11.287 * [backup-simplify]: Simplify -2 into -2
11.287 * [taylor]: Taking taylor expansion of n in n
11.287 * [backup-simplify]: Simplify 0 into 0
11.287 * [backup-simplify]: Simplify 1 into 1
11.288 * [backup-simplify]: Simplify (/ -2 1) into -2
11.288 * [backup-simplify]: Simplify (log -2) into (log -2)
11.288 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
11.288 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
11.289 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
11.290 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))
11.290 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
11.290 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k
11.290 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k
11.290 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
11.290 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
11.290 * [taylor]: Taking taylor expansion of 1/2 in k
11.290 * [backup-simplify]: Simplify 1/2 into 1/2
11.290 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.291 * [taylor]: Taking taylor expansion of k in k
11.291 * [backup-simplify]: Simplify 0 into 0
11.291 * [backup-simplify]: Simplify 1 into 1
11.291 * [backup-simplify]: Simplify (/ 1 1) into 1
11.291 * [taylor]: Taking taylor expansion of 1/2 in k
11.291 * [backup-simplify]: Simplify 1/2 into 1/2
11.291 * [taylor]: Taking taylor expansion of (- (log -2) (log n)) in k
11.291 * [taylor]: Taking taylor expansion of (log -2) in k
11.291 * [taylor]: Taking taylor expansion of -2 in k
11.291 * [backup-simplify]: Simplify -2 into -2
11.291 * [backup-simplify]: Simplify (log -2) into (log -2)
11.292 * [taylor]: Taking taylor expansion of (log n) in k
11.292 * [taylor]: Taking taylor expansion of n in k
11.292 * [backup-simplify]: Simplify n into n
11.292 * [backup-simplify]: Simplify (log n) into (log n)
11.292 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
11.293 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
11.293 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
11.293 * [backup-simplify]: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n))
11.293 * [backup-simplify]: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n)))
11.294 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
11.294 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
11.295 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0
11.297 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0
11.297 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
11.297 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
11.298 * [backup-simplify]: Simplify (+ 0 0) into 0
11.299 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
11.299 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0
11.300 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
11.300 * [taylor]: Taking taylor expansion of 0 in k
11.300 * [backup-simplify]: Simplify 0 into 0
11.300 * [backup-simplify]: Simplify 0 into 0
11.301 * [backup-simplify]: Simplify 0 into 0
11.302 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.305 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0
11.305 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
11.306 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
11.306 * [backup-simplify]: Simplify (+ 0 0) into 0
11.307 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
11.308 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0
11.310 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
11.310 * [taylor]: Taking taylor expansion of 0 in k
11.310 * [backup-simplify]: Simplify 0 into 0
11.310 * [backup-simplify]: Simplify 0 into 0
11.310 * [backup-simplify]: Simplify 0 into 0
11.310 * [backup-simplify]: Simplify 0 into 0
11.311 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.316 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -2 1)))) 6) into 0
11.316 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
11.317 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
11.318 * [backup-simplify]: Simplify (+ 0 0) into 0
11.318 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
11.320 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0
11.322 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
11.322 * [taylor]: Taking taylor expansion of 0 in k
11.322 * [backup-simplify]: Simplify 0 into 0
11.322 * [backup-simplify]: Simplify 0 into 0
11.323 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n)))))
11.323 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2)
11.323 * [backup-simplify]: Simplify (pow PI (- 1/2 (/ k 2))) into (pow PI (- 1/2 (* 1/2 k)))
11.323 * [approximate]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0
11.323 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
11.323 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
11.323 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
11.323 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
11.323 * [taylor]: Taking taylor expansion of 1/2 in k
11.323 * [backup-simplify]: Simplify 1/2 into 1/2
11.323 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
11.323 * [taylor]: Taking taylor expansion of 1/2 in k
11.323 * [backup-simplify]: Simplify 1/2 into 1/2
11.323 * [taylor]: Taking taylor expansion of k in k
11.323 * [backup-simplify]: Simplify 0 into 0
11.323 * [backup-simplify]: Simplify 1 into 1
11.323 * [taylor]: Taking taylor expansion of (log PI) in k
11.323 * [taylor]: Taking taylor expansion of PI in k
11.323 * [backup-simplify]: Simplify PI into PI
11.324 * [backup-simplify]: Simplify (log PI) into (log PI)
11.324 * [backup-simplify]: Simplify (* 1/2 0) into 0
11.325 * [backup-simplify]: Simplify (- 0) into 0
11.325 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
11.326 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
11.328 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
11.328 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
11.328 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
11.328 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
11.328 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
11.328 * [taylor]: Taking taylor expansion of 1/2 in k
11.328 * [backup-simplify]: Simplify 1/2 into 1/2
11.328 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
11.328 * [taylor]: Taking taylor expansion of 1/2 in k
11.328 * [backup-simplify]: Simplify 1/2 into 1/2
11.328 * [taylor]: Taking taylor expansion of k in k
11.328 * [backup-simplify]: Simplify 0 into 0
11.328 * [backup-simplify]: Simplify 1 into 1
11.328 * [taylor]: Taking taylor expansion of (log PI) in k
11.328 * [taylor]: Taking taylor expansion of PI in k
11.328 * [backup-simplify]: Simplify PI into PI
11.329 * [backup-simplify]: Simplify (log PI) into (log PI)
11.329 * [backup-simplify]: Simplify (* 1/2 0) into 0
11.330 * [backup-simplify]: Simplify (- 0) into 0
11.330 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
11.331 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
11.333 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
11.334 * [backup-simplify]: Simplify (pow PI 1/2) into (pow PI 1/2)
11.335 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
11.336 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
11.336 * [backup-simplify]: Simplify (- 1/2) into -1/2
11.337 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
11.339 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI)))
11.345 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI)))
11.346 * [backup-simplify]: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI)))
11.348 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
11.349 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
11.349 * [backup-simplify]: Simplify (- 0) into 0
11.349 * [backup-simplify]: Simplify (+ 0 0) into 0
11.350 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0
11.357 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI)))
11.359 * [backup-simplify]: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI)))
11.363 * [backup-simplify]: Simplify (+ (* (* 1/8 (* (pow (log PI) 2) (sqrt PI))) (pow k 2)) (+ (* (* -1/2 (* (log PI) (sqrt PI))) k) (pow PI 1/2))) into (- (+ (pow PI 1/2) (* 1/8 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI)))) (* 1/2 (* (* (log PI) k) (sqrt PI))))
11.363 * [backup-simplify]: Simplify (pow PI (- 1/2 (/ (/ 1 k) 2))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
11.363 * [approximate]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0
11.363 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
11.363 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
11.363 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
11.363 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
11.363 * [taylor]: Taking taylor expansion of 1/2 in k
11.363 * [backup-simplify]: Simplify 1/2 into 1/2
11.363 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
11.363 * [taylor]: Taking taylor expansion of 1/2 in k
11.363 * [backup-simplify]: Simplify 1/2 into 1/2
11.363 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.363 * [taylor]: Taking taylor expansion of k in k
11.363 * [backup-simplify]: Simplify 0 into 0
11.363 * [backup-simplify]: Simplify 1 into 1
11.363 * [backup-simplify]: Simplify (/ 1 1) into 1
11.363 * [taylor]: Taking taylor expansion of (log PI) in k
11.363 * [taylor]: Taking taylor expansion of PI in k
11.363 * [backup-simplify]: Simplify PI into PI
11.364 * [backup-simplify]: Simplify (log PI) into (log PI)
11.364 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
11.364 * [backup-simplify]: Simplify (- 1/2) into -1/2
11.364 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
11.365 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
11.365 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
11.365 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
11.365 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
11.365 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
11.365 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
11.365 * [taylor]: Taking taylor expansion of 1/2 in k
11.366 * [backup-simplify]: Simplify 1/2 into 1/2
11.366 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
11.366 * [taylor]: Taking taylor expansion of 1/2 in k
11.366 * [backup-simplify]: Simplify 1/2 into 1/2
11.366 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.366 * [taylor]: Taking taylor expansion of k in k
11.366 * [backup-simplify]: Simplify 0 into 0
11.366 * [backup-simplify]: Simplify 1 into 1
11.366 * [backup-simplify]: Simplify (/ 1 1) into 1
11.366 * [taylor]: Taking taylor expansion of (log PI) in k
11.366 * [taylor]: Taking taylor expansion of PI in k
11.366 * [backup-simplify]: Simplify PI into PI
11.366 * [backup-simplify]: Simplify (log PI) into (log PI)
11.367 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
11.367 * [backup-simplify]: Simplify (- 1/2) into -1/2
11.367 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
11.368 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
11.368 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
11.368 * [backup-simplify]: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
11.368 * [backup-simplify]: Simplify 0 into 0
11.368 * [backup-simplify]: Simplify 0 into 0
11.368 * [backup-simplify]: Simplify 0 into 0
11.368 * [backup-simplify]: Simplify 0 into 0
11.368 * [backup-simplify]: Simplify 0 into 0
11.368 * [backup-simplify]: Simplify 0 into 0
11.368 * [backup-simplify]: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k)))
11.369 * [backup-simplify]: Simplify (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
11.369 * [approximate]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0
11.369 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
11.369 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
11.369 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
11.369 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
11.369 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
11.369 * [taylor]: Taking taylor expansion of 1/2 in k
11.369 * [backup-simplify]: Simplify 1/2 into 1/2
11.369 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.369 * [taylor]: Taking taylor expansion of k in k
11.369 * [backup-simplify]: Simplify 0 into 0
11.369 * [backup-simplify]: Simplify 1 into 1
11.369 * [backup-simplify]: Simplify (/ 1 1) into 1
11.369 * [taylor]: Taking taylor expansion of 1/2 in k
11.369 * [backup-simplify]: Simplify 1/2 into 1/2
11.369 * [taylor]: Taking taylor expansion of (log PI) in k
11.369 * [taylor]: Taking taylor expansion of PI in k
11.369 * [backup-simplify]: Simplify PI into PI
11.369 * [backup-simplify]: Simplify (log PI) into (log PI)
11.370 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
11.370 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
11.371 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
11.371 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
11.371 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
11.371 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
11.371 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
11.371 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
11.371 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
11.371 * [taylor]: Taking taylor expansion of 1/2 in k
11.371 * [backup-simplify]: Simplify 1/2 into 1/2
11.371 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.371 * [taylor]: Taking taylor expansion of k in k
11.371 * [backup-simplify]: Simplify 0 into 0
11.371 * [backup-simplify]: Simplify 1 into 1
11.372 * [backup-simplify]: Simplify (/ 1 1) into 1
11.372 * [taylor]: Taking taylor expansion of 1/2 in k
11.372 * [backup-simplify]: Simplify 1/2 into 1/2
11.372 * [taylor]: Taking taylor expansion of (log PI) in k
11.372 * [taylor]: Taking taylor expansion of PI in k
11.372 * [backup-simplify]: Simplify PI into PI
11.372 * [backup-simplify]: Simplify (log PI) into (log PI)
11.372 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
11.372 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
11.373 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
11.373 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
11.374 * [backup-simplify]: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
11.374 * [backup-simplify]: Simplify 0 into 0
11.374 * [backup-simplify]: Simplify 0 into 0
11.374 * [backup-simplify]: Simplify 0 into 0
11.374 * [backup-simplify]: Simplify 0 into 0
11.374 * [backup-simplify]: Simplify 0 into 0
11.374 * [backup-simplify]: Simplify 0 into 0
11.374 * [backup-simplify]: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k)))
11.374 * * * * [progress]: [ 3 / 4 ] generating series at (2)
11.374 * [backup-simplify]: Simplify (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) into (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k)))
11.374 * [approximate]: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in (n k) around 0
11.374 * [taylor]: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in k
11.374 * [taylor]: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k
11.374 * [taylor]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k
11.374 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k
11.374 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k
11.374 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
11.374 * [taylor]: Taking taylor expansion of 1/2 in k
11.374 * [backup-simplify]: Simplify 1/2 into 1/2
11.374 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
11.374 * [taylor]: Taking taylor expansion of 1/2 in k
11.374 * [backup-simplify]: Simplify 1/2 into 1/2
11.374 * [taylor]: Taking taylor expansion of k in k
11.374 * [backup-simplify]: Simplify 0 into 0
11.374 * [backup-simplify]: Simplify 1 into 1
11.374 * [taylor]: Taking taylor expansion of (log (* 2 n)) in k
11.374 * [taylor]: Taking taylor expansion of (* 2 n) in k
11.374 * [taylor]: Taking taylor expansion of 2 in k
11.374 * [backup-simplify]: Simplify 2 into 2
11.374 * [taylor]: Taking taylor expansion of n in k
11.375 * [backup-simplify]: Simplify n into n
11.375 * [backup-simplify]: Simplify (* 2 n) into (* 2 n)
11.375 * [backup-simplify]: Simplify (log (* 2 n)) into (log (* 2 n))
11.375 * [backup-simplify]: Simplify (* 1/2 0) into 0
11.375 * [backup-simplify]: Simplify (- 0) into 0
11.375 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
11.375 * [backup-simplify]: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n)))
11.376 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2)
11.376 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
11.376 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
11.376 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
11.376 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
11.376 * [taylor]: Taking taylor expansion of 1/2 in k
11.376 * [backup-simplify]: Simplify 1/2 into 1/2
11.376 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
11.376 * [taylor]: Taking taylor expansion of 1/2 in k
11.376 * [backup-simplify]: Simplify 1/2 into 1/2
11.376 * [taylor]: Taking taylor expansion of k in k
11.376 * [backup-simplify]: Simplify 0 into 0
11.376 * [backup-simplify]: Simplify 1 into 1
11.376 * [taylor]: Taking taylor expansion of (log PI) in k
11.376 * [taylor]: Taking taylor expansion of PI in k
11.376 * [backup-simplify]: Simplify PI into PI
11.376 * [backup-simplify]: Simplify (log PI) into (log PI)
11.376 * [backup-simplify]: Simplify (* 1/2 0) into 0
11.377 * [backup-simplify]: Simplify (- 0) into 0
11.377 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
11.378 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
11.380 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
11.380 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
11.380 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.380 * [taylor]: Taking taylor expansion of k in k
11.380 * [backup-simplify]: Simplify 0 into 0
11.380 * [backup-simplify]: Simplify 1 into 1
11.380 * [backup-simplify]: Simplify (/ 1 1) into 1
11.381 * [backup-simplify]: Simplify (sqrt 0) into 0
11.382 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
11.382 * [taylor]: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in n
11.382 * [taylor]: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n
11.382 * [taylor]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n
11.382 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n
11.382 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n
11.382 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
11.382 * [taylor]: Taking taylor expansion of 1/2 in n
11.382 * [backup-simplify]: Simplify 1/2 into 1/2
11.382 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
11.382 * [taylor]: Taking taylor expansion of 1/2 in n
11.382 * [backup-simplify]: Simplify 1/2 into 1/2
11.382 * [taylor]: Taking taylor expansion of k in n
11.382 * [backup-simplify]: Simplify k into k
11.382 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n
11.382 * [taylor]: Taking taylor expansion of (* 2 n) in n
11.382 * [taylor]: Taking taylor expansion of 2 in n
11.382 * [backup-simplify]: Simplify 2 into 2
11.382 * [taylor]: Taking taylor expansion of n in n
11.382 * [backup-simplify]: Simplify 0 into 0
11.382 * [backup-simplify]: Simplify 1 into 1
11.383 * [backup-simplify]: Simplify (* 2 0) into 0
11.384 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
11.384 * [backup-simplify]: Simplify (log 2) into (log 2)
11.384 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
11.384 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
11.384 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
11.385 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
11.386 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))
11.386 * [backup-simplify]: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))
11.386 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n
11.386 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n
11.386 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n
11.386 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
11.386 * [taylor]: Taking taylor expansion of 1/2 in n
11.386 * [backup-simplify]: Simplify 1/2 into 1/2
11.386 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
11.386 * [taylor]: Taking taylor expansion of 1/2 in n
11.386 * [backup-simplify]: Simplify 1/2 into 1/2
11.386 * [taylor]: Taking taylor expansion of k in n
11.386 * [backup-simplify]: Simplify k into k
11.386 * [taylor]: Taking taylor expansion of (log PI) in n
11.386 * [taylor]: Taking taylor expansion of PI in n
11.386 * [backup-simplify]: Simplify PI into PI
11.387 * [backup-simplify]: Simplify (log PI) into (log PI)
11.387 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
11.387 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
11.387 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
11.388 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI))
11.388 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k)))
11.388 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
11.388 * [taylor]: Taking taylor expansion of (/ 1 k) in n
11.388 * [taylor]: Taking taylor expansion of k in n
11.388 * [backup-simplify]: Simplify k into k
11.388 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
11.388 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
11.388 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
11.388 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
11.388 * [taylor]: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in n
11.389 * [taylor]: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n
11.389 * [taylor]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n
11.389 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n
11.389 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n
11.389 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
11.389 * [taylor]: Taking taylor expansion of 1/2 in n
11.389 * [backup-simplify]: Simplify 1/2 into 1/2
11.389 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
11.389 * [taylor]: Taking taylor expansion of 1/2 in n
11.389 * [backup-simplify]: Simplify 1/2 into 1/2
11.389 * [taylor]: Taking taylor expansion of k in n
11.389 * [backup-simplify]: Simplify k into k
11.389 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n
11.389 * [taylor]: Taking taylor expansion of (* 2 n) in n
11.389 * [taylor]: Taking taylor expansion of 2 in n
11.389 * [backup-simplify]: Simplify 2 into 2
11.389 * [taylor]: Taking taylor expansion of n in n
11.389 * [backup-simplify]: Simplify 0 into 0
11.389 * [backup-simplify]: Simplify 1 into 1
11.389 * [backup-simplify]: Simplify (* 2 0) into 0
11.390 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
11.390 * [backup-simplify]: Simplify (log 2) into (log 2)
11.390 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
11.390 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
11.391 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
11.391 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
11.394 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))
11.394 * [backup-simplify]: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))
11.394 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n
11.394 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n
11.394 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n
11.394 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
11.394 * [taylor]: Taking taylor expansion of 1/2 in n
11.394 * [backup-simplify]: Simplify 1/2 into 1/2
11.394 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
11.394 * [taylor]: Taking taylor expansion of 1/2 in n
11.394 * [backup-simplify]: Simplify 1/2 into 1/2
11.394 * [taylor]: Taking taylor expansion of k in n
11.394 * [backup-simplify]: Simplify k into k
11.394 * [taylor]: Taking taylor expansion of (log PI) in n
11.394 * [taylor]: Taking taylor expansion of PI in n
11.394 * [backup-simplify]: Simplify PI into PI
11.395 * [backup-simplify]: Simplify (log PI) into (log PI)
11.395 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
11.395 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
11.395 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
11.395 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI))
11.395 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k)))
11.395 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
11.395 * [taylor]: Taking taylor expansion of (/ 1 k) in n
11.395 * [taylor]: Taking taylor expansion of k in n
11.395 * [backup-simplify]: Simplify k into k
11.395 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
11.395 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
11.396 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
11.396 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
11.396 * [backup-simplify]: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) into (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))
11.396 * [backup-simplify]: Simplify (* (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) into (* (sqrt (/ 1 k)) (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))))
11.397 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) in k
11.397 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
11.397 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.397 * [taylor]: Taking taylor expansion of k in k
11.397 * [backup-simplify]: Simplify 0 into 0
11.397 * [backup-simplify]: Simplify 1 into 1
11.397 * [backup-simplify]: Simplify (/ 1 1) into 1
11.397 * [backup-simplify]: Simplify (sqrt 0) into 0
11.398 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
11.398 * [taylor]: Taking taylor expansion of (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) in k
11.398 * [taylor]: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k
11.398 * [taylor]: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k
11.398 * [taylor]: Taking taylor expansion of (+ (log 2) (log n)) in k
11.398 * [taylor]: Taking taylor expansion of (log 2) in k
11.398 * [taylor]: Taking taylor expansion of 2 in k
11.398 * [backup-simplify]: Simplify 2 into 2
11.398 * [backup-simplify]: Simplify (log 2) into (log 2)
11.398 * [taylor]: Taking taylor expansion of (log n) in k
11.398 * [taylor]: Taking taylor expansion of n in k
11.398 * [backup-simplify]: Simplify n into n
11.398 * [backup-simplify]: Simplify (log n) into (log n)
11.398 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
11.398 * [taylor]: Taking taylor expansion of 1/2 in k
11.398 * [backup-simplify]: Simplify 1/2 into 1/2
11.398 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
11.399 * [taylor]: Taking taylor expansion of 1/2 in k
11.399 * [backup-simplify]: Simplify 1/2 into 1/2
11.399 * [taylor]: Taking taylor expansion of k in k
11.399 * [backup-simplify]: Simplify 0 into 0
11.399 * [backup-simplify]: Simplify 1 into 1
11.399 * [backup-simplify]: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n))
11.399 * [backup-simplify]: Simplify (* 1/2 0) into 0
11.399 * [backup-simplify]: Simplify (- 0) into 0
11.400 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
11.400 * [backup-simplify]: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n)))
11.400 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n))))
11.400 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
11.400 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
11.400 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
11.400 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
11.400 * [taylor]: Taking taylor expansion of 1/2 in k
11.400 * [backup-simplify]: Simplify 1/2 into 1/2
11.400 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
11.400 * [taylor]: Taking taylor expansion of 1/2 in k
11.400 * [backup-simplify]: Simplify 1/2 into 1/2
11.400 * [taylor]: Taking taylor expansion of k in k
11.400 * [backup-simplify]: Simplify 0 into 0
11.400 * [backup-simplify]: Simplify 1 into 1
11.400 * [taylor]: Taking taylor expansion of (log PI) in k
11.400 * [taylor]: Taking taylor expansion of PI in k
11.400 * [backup-simplify]: Simplify PI into PI
11.401 * [backup-simplify]: Simplify (log PI) into (log PI)
11.401 * [backup-simplify]: Simplify (* 1/2 0) into 0
11.401 * [backup-simplify]: Simplify (- 0) into 0
11.401 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
11.402 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
11.403 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
11.404 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (pow PI 1/2)) into (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))
11.404 * [backup-simplify]: Simplify (* 0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) into 0
11.404 * [backup-simplify]: Simplify 0 into 0
11.405 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
11.405 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
11.406 * [backup-simplify]: Simplify (- 0) into 0
11.406 * [backup-simplify]: Simplify (+ 0 0) into 0
11.406 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (log PI))) into 0
11.407 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
11.408 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
11.408 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
11.409 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
11.409 * [backup-simplify]: Simplify (- 0) into 0
11.409 * [backup-simplify]: Simplify (+ 0 0) into 0
11.410 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
11.410 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0
11.411 * [backup-simplify]: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0
11.411 * [backup-simplify]: Simplify (+ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 0) (* 0 (pow PI (- 1/2 (* 1/2 k))))) into 0
11.412 * [backup-simplify]: Simplify (+ (* (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) 0) (* 0 (sqrt (/ 1 k)))) into 0
11.412 * [taylor]: Taking taylor expansion of 0 in k
11.412 * [backup-simplify]: Simplify 0 into 0
11.413 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
11.413 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
11.413 * [backup-simplify]: Simplify (- 1/2) into -1/2
11.414 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
11.415 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI)))
11.421 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI)))
11.421 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
11.422 * [backup-simplify]: Simplify (- 1/2) into -1/2
11.422 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
11.423 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
11.423 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
11.424 * [backup-simplify]: Simplify (+ 0 0) into 0
11.424 * [backup-simplify]: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n))))
11.426 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n)))))
11.431 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) (pow PI 1/2))) into (- (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (* 1/2 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))))))
11.436 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (* 1/2 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))))))) (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)))) into (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))))
11.437 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)))) into (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))))
11.437 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
11.438 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
11.441 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
11.442 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
11.442 * [backup-simplify]: Simplify (- 0) into 0
11.443 * [backup-simplify]: Simplify (+ 0 0) into 0
11.444 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (log PI)))) into 0
11.445 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
11.447 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
11.449 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
11.450 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
11.451 * [backup-simplify]: Simplify (- 0) into 0
11.451 * [backup-simplify]: Simplify (+ 0 0) into 0
11.452 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
11.453 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0
11.454 * [backup-simplify]: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
11.455 * [backup-simplify]: Simplify (+ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 0) (+ (* 0 0) (* 0 (pow PI (- 1/2 (* 1/2 k)))))) into 0
11.456 * [backup-simplify]: Simplify (+ (* (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0
11.457 * [taylor]: Taking taylor expansion of 0 in k
11.457 * [backup-simplify]: Simplify 0 into 0
11.457 * [backup-simplify]: Simplify 0 into 0
11.460 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
11.461 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
11.461 * [backup-simplify]: Simplify (- 0) into 0
11.462 * [backup-simplify]: Simplify (+ 0 0) into 0
11.463 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0
11.473 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI)))
11.473 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
11.473 * [backup-simplify]: Simplify (- 0) into 0
11.474 * [backup-simplify]: Simplify (+ 0 0) into 0
11.475 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
11.476 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
11.476 * [backup-simplify]: Simplify (+ 0 0) into 0
11.477 * [backup-simplify]: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0
11.478 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2)))))
11.485 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) (pow PI 1/2)))) into (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (+ (* 1/4 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))) (sqrt PI))) (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (+ (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)) (sqrt PI))) (+ (* 1/8 (* (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)) (sqrt PI))))))))
11.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.488 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
11.500 * [backup-simplify]: Simplify (+ (* 0 (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (+ (* 1/4 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))) (sqrt PI))) (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (+ (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)) (sqrt PI))) (+ (* 1/8 (* (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)) (sqrt PI))))))))) (+ (* +nan.0 (- (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (* 1/2 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))))))) (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))))) into (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))))))))))
11.503 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)))))))))) into (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))))))))))
11.503 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
11.504 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0
11.509 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0
11.510 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0
11.511 * [backup-simplify]: Simplify (- 0) into 0
11.511 * [backup-simplify]: Simplify (+ 0 0) into 0
11.512 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))) into 0
11.514 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log PI))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
11.515 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
11.521 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0
11.522 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0
11.522 * [backup-simplify]: Simplify (- 0) into 0
11.523 * [backup-simplify]: Simplify (+ 0 0) into 0
11.524 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
11.525 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log 2) (log n)))))) into 0
11.527 * [backup-simplify]: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
11.528 * [backup-simplify]: Simplify (+ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI (- 1/2 (* 1/2 k))))))) into 0
11.530 * [backup-simplify]: Simplify (+ (* (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0
11.530 * [taylor]: Taking taylor expansion of 0 in k
11.530 * [backup-simplify]: Simplify 0 into 0
11.530 * [backup-simplify]: Simplify 0 into 0
11.530 * [backup-simplify]: Simplify 0 into 0
11.536 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0
11.538 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
11.538 * [backup-simplify]: Simplify (- 0) into 0
11.538 * [backup-simplify]: Simplify (+ 0 0) into 0
11.540 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0
11.555 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 3) 6)) (* (/ (pow (- (* 1/2 (log PI))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (pow (log PI) 3) (sqrt PI)))
11.556 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
11.557 * [backup-simplify]: Simplify (- 0) into 0
11.557 * [backup-simplify]: Simplify (+ 0 0) into 0
11.562 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0
11.565 * [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
11.565 * [backup-simplify]: Simplify (+ 0 0) into 0
11.566 * [backup-simplify]: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 0) (+ (* 0 -1/2) (* 0 1/2)))) into 0
11.570 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 3) 6)) (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (log 2) (pow (log n) 2))) (+ (* 1/16 (* (pow (log 2) 2) (log n))) (* 1/48 (pow (log 2) 3))))) (exp (* 1/2 (+ (log 2) (log n))))))
11.589 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) (* -1/48 (* (pow (log PI) 3) (sqrt PI)))) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (log 2) (pow (log n) 2))) (+ (* 1/16 (* (pow (log 2) 2) (log n))) (* 1/48 (pow (log 2) 3))))) (exp (* 1/2 (+ (log 2) (log n)))))) (pow PI 1/2))))) into (- (+ (* 1/16 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2))) (sqrt PI))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (+ (* 1/16 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow (log n) 2))) (sqrt PI))) (+ (* 1/16 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (sqrt PI))) (+ (* 1/48 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 3)) (sqrt PI))) (+ (* 1/16 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log PI) 2) (log n))) (sqrt PI))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (+ (* 1/48 (* (* (pow (log 2) 3) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (+ (* 1/48 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 3)) (sqrt PI))) (* 1/8 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n)))) (sqrt PI)))))))))))))
11.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.592 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
11.624 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 1/16 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2))) (sqrt PI))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (+ (* 1/16 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow (log n) 2))) (sqrt PI))) (+ (* 1/16 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (sqrt PI))) (+ (* 1/48 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 3)) (sqrt PI))) (+ (* 1/16 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log PI) 2) (log n))) (sqrt PI))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (+ (* 1/48 (* (* (pow (log 2) 3) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (+ (* 1/48 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 3)) (sqrt PI))) (* 1/8 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n)))) (sqrt PI)))))))))))))) (+ (* +nan.0 (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (+ (* 1/4 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))) (sqrt PI))) (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (+ (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)) (sqrt PI))) (+ (* 1/8 (* (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)) (sqrt PI))))))))) (+ (* +nan.0 (- (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (* 1/2 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))))))) (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (- (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)) (sqrt PI))))))))))))))))))))))
11.640 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (- (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)) (sqrt PI)))))))))))))))))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (- (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)) (sqrt PI))))))))))))))))))))))
11.657 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (- (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)) (sqrt PI)))))))))))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)))))))))) (* k 1)) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)))))) into (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) k) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) k)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (* (log n) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log PI) 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2)))) (sqrt PI))) (- (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k)) (sqrt PI))))))))))))))))))))))))))))))))
11.658 * [backup-simplify]: Simplify (/ (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) (/ (sqrt (/ 1 k)) (pow PI (- 1/2 (/ (/ 1 k) 2))))) into (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k))
11.658 * [approximate]: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in (n k) around 0
11.658 * [taylor]: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in k
11.658 * [taylor]: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k
11.658 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
11.658 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
11.658 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
11.658 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
11.658 * [taylor]: Taking taylor expansion of 1/2 in k
11.658 * [backup-simplify]: Simplify 1/2 into 1/2
11.658 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
11.658 * [taylor]: Taking taylor expansion of 1/2 in k
11.658 * [backup-simplify]: Simplify 1/2 into 1/2
11.658 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.658 * [taylor]: Taking taylor expansion of k in k
11.658 * [backup-simplify]: Simplify 0 into 0
11.658 * [backup-simplify]: Simplify 1 into 1
11.658 * [backup-simplify]: Simplify (/ 1 1) into 1
11.658 * [taylor]: Taking taylor expansion of (log PI) in k
11.658 * [taylor]: Taking taylor expansion of PI in k
11.658 * [backup-simplify]: Simplify PI into PI
11.659 * [backup-simplify]: Simplify (log PI) into (log PI)
11.659 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
11.659 * [backup-simplify]: Simplify (- 1/2) into -1/2
11.660 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
11.660 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
11.660 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
11.660 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k
11.661 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k
11.661 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k
11.661 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
11.661 * [taylor]: Taking taylor expansion of 1/2 in k
11.661 * [backup-simplify]: Simplify 1/2 into 1/2
11.661 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
11.661 * [taylor]: Taking taylor expansion of 1/2 in k
11.661 * [backup-simplify]: Simplify 1/2 into 1/2
11.661 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.661 * [taylor]: Taking taylor expansion of k in k
11.661 * [backup-simplify]: Simplify 0 into 0
11.661 * [backup-simplify]: Simplify 1 into 1
11.661 * [backup-simplify]: Simplify (/ 1 1) into 1
11.661 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in k
11.661 * [taylor]: Taking taylor expansion of (/ 2 n) in k
11.661 * [taylor]: Taking taylor expansion of 2 in k
11.661 * [backup-simplify]: Simplify 2 into 2
11.661 * [taylor]: Taking taylor expansion of n in k
11.661 * [backup-simplify]: Simplify n into n
11.661 * [backup-simplify]: Simplify (/ 2 n) into (/ 2 n)
11.661 * [backup-simplify]: Simplify (log (/ 2 n)) into (log (/ 2 n))
11.661 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
11.662 * [backup-simplify]: Simplify (- 1/2) into -1/2
11.662 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
11.662 * [backup-simplify]: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n)))
11.662 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))
11.662 * [taylor]: Taking taylor expansion of (sqrt k) in k
11.662 * [taylor]: Taking taylor expansion of k in k
11.662 * [backup-simplify]: Simplify 0 into 0
11.662 * [backup-simplify]: Simplify 1 into 1
11.662 * [backup-simplify]: Simplify (sqrt 0) into 0
11.663 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
11.663 * [taylor]: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in n
11.663 * [taylor]: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n
11.663 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n
11.663 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n
11.663 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n
11.663 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
11.663 * [taylor]: Taking taylor expansion of 1/2 in n
11.663 * [backup-simplify]: Simplify 1/2 into 1/2
11.663 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
11.663 * [taylor]: Taking taylor expansion of 1/2 in n
11.663 * [backup-simplify]: Simplify 1/2 into 1/2
11.663 * [taylor]: Taking taylor expansion of (/ 1 k) in n
11.663 * [taylor]: Taking taylor expansion of k in n
11.664 * [backup-simplify]: Simplify k into k
11.664 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
11.664 * [taylor]: Taking taylor expansion of (log PI) in n
11.664 * [taylor]: Taking taylor expansion of PI in n
11.664 * [backup-simplify]: Simplify PI into PI
11.664 * [backup-simplify]: Simplify (log PI) into (log PI)
11.664 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
11.664 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
11.664 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
11.665 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))
11.665 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
11.665 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
11.665 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n
11.665 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n
11.665 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
11.665 * [taylor]: Taking taylor expansion of 1/2 in n
11.665 * [backup-simplify]: Simplify 1/2 into 1/2
11.665 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
11.665 * [taylor]: Taking taylor expansion of 1/2 in n
11.666 * [backup-simplify]: Simplify 1/2 into 1/2
11.666 * [taylor]: Taking taylor expansion of (/ 1 k) in n
11.666 * [taylor]: Taking taylor expansion of k in n
11.666 * [backup-simplify]: Simplify k into k
11.666 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
11.666 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in n
11.666 * [taylor]: Taking taylor expansion of (/ 2 n) in n
11.666 * [taylor]: Taking taylor expansion of 2 in n
11.666 * [backup-simplify]: Simplify 2 into 2
11.666 * [taylor]: Taking taylor expansion of n in n
11.666 * [backup-simplify]: Simplify 0 into 0
11.666 * [backup-simplify]: Simplify 1 into 1
11.666 * [backup-simplify]: Simplify (/ 2 1) into 2
11.667 * [backup-simplify]: Simplify (log 2) into (log 2)
11.667 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
11.667 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
11.667 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
11.668 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
11.668 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))
11.669 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
11.669 * [taylor]: Taking taylor expansion of (sqrt k) in n
11.669 * [taylor]: Taking taylor expansion of k in n
11.669 * [backup-simplify]: Simplify k into k
11.669 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
11.669 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
11.669 * [taylor]: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in n
11.669 * [taylor]: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n
11.669 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n
11.669 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n
11.669 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n
11.669 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
11.669 * [taylor]: Taking taylor expansion of 1/2 in n
11.669 * [backup-simplify]: Simplify 1/2 into 1/2
11.669 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
11.669 * [taylor]: Taking taylor expansion of 1/2 in n
11.669 * [backup-simplify]: Simplify 1/2 into 1/2
11.669 * [taylor]: Taking taylor expansion of (/ 1 k) in n
11.669 * [taylor]: Taking taylor expansion of k in n
11.670 * [backup-simplify]: Simplify k into k
11.670 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
11.670 * [taylor]: Taking taylor expansion of (log PI) in n
11.670 * [taylor]: Taking taylor expansion of PI in n
11.670 * [backup-simplify]: Simplify PI into PI
11.670 * [backup-simplify]: Simplify (log PI) into (log PI)
11.670 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
11.670 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
11.670 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
11.671 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))
11.672 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
11.672 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
11.672 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n
11.672 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n
11.672 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
11.672 * [taylor]: Taking taylor expansion of 1/2 in n
11.672 * [backup-simplify]: Simplify 1/2 into 1/2
11.672 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
11.672 * [taylor]: Taking taylor expansion of 1/2 in n
11.672 * [backup-simplify]: Simplify 1/2 into 1/2
11.672 * [taylor]: Taking taylor expansion of (/ 1 k) in n
11.672 * [taylor]: Taking taylor expansion of k in n
11.672 * [backup-simplify]: Simplify k into k
11.672 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
11.672 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in n
11.673 * [taylor]: Taking taylor expansion of (/ 2 n) in n
11.673 * [taylor]: Taking taylor expansion of 2 in n
11.673 * [backup-simplify]: Simplify 2 into 2
11.673 * [taylor]: Taking taylor expansion of n in n
11.673 * [backup-simplify]: Simplify 0 into 0
11.673 * [backup-simplify]: Simplify 1 into 1
11.673 * [backup-simplify]: Simplify (/ 2 1) into 2
11.674 * [backup-simplify]: Simplify (log 2) into (log 2)
11.674 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
11.674 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
11.674 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
11.675 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
11.676 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))
11.676 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
11.676 * [taylor]: Taking taylor expansion of (sqrt k) in n
11.676 * [taylor]: Taking taylor expansion of k in n
11.676 * [backup-simplify]: Simplify k into k
11.676 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
11.677 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
11.677 * [backup-simplify]: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))
11.678 * [backup-simplify]: Simplify (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) (sqrt k)) into (* (sqrt k) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))
11.678 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) in k
11.678 * [taylor]: Taking taylor expansion of (sqrt k) in k
11.678 * [taylor]: Taking taylor expansion of k in k
11.678 * [backup-simplify]: Simplify 0 into 0
11.678 * [backup-simplify]: Simplify 1 into 1
11.679 * [backup-simplify]: Simplify (sqrt 0) into 0
11.680 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
11.680 * [taylor]: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) in k
11.680 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
11.680 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
11.680 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
11.680 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
11.680 * [taylor]: Taking taylor expansion of 1/2 in k
11.680 * [backup-simplify]: Simplify 1/2 into 1/2
11.680 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
11.680 * [taylor]: Taking taylor expansion of 1/2 in k
11.681 * [backup-simplify]: Simplify 1/2 into 1/2
11.681 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.681 * [taylor]: Taking taylor expansion of k in k
11.681 * [backup-simplify]: Simplify 0 into 0
11.681 * [backup-simplify]: Simplify 1 into 1
11.681 * [backup-simplify]: Simplify (/ 1 1) into 1
11.681 * [taylor]: Taking taylor expansion of (log PI) in k
11.681 * [taylor]: Taking taylor expansion of PI in k
11.681 * [backup-simplify]: Simplify PI into PI
11.682 * [backup-simplify]: Simplify (log PI) into (log PI)
11.682 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
11.682 * [backup-simplify]: Simplify (- 1/2) into -1/2
11.683 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
11.684 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
11.684 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
11.684 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k
11.684 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k
11.684 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
11.685 * [taylor]: Taking taylor expansion of 1/2 in k
11.685 * [backup-simplify]: Simplify 1/2 into 1/2
11.685 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
11.685 * [taylor]: Taking taylor expansion of 1/2 in k
11.685 * [backup-simplify]: Simplify 1/2 into 1/2
11.685 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.685 * [taylor]: Taking taylor expansion of k in k
11.685 * [backup-simplify]: Simplify 0 into 0
11.685 * [backup-simplify]: Simplify 1 into 1
11.685 * [backup-simplify]: Simplify (/ 1 1) into 1
11.685 * [taylor]: Taking taylor expansion of (- (log 2) (log n)) in k
11.685 * [taylor]: Taking taylor expansion of (log 2) in k
11.685 * [taylor]: Taking taylor expansion of 2 in k
11.685 * [backup-simplify]: Simplify 2 into 2
11.686 * [backup-simplify]: Simplify (log 2) into (log 2)
11.686 * [taylor]: Taking taylor expansion of (log n) in k
11.686 * [taylor]: Taking taylor expansion of n in k
11.686 * [backup-simplify]: Simplify n into n
11.686 * [backup-simplify]: Simplify (log n) into (log n)
11.686 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
11.687 * [backup-simplify]: Simplify (- 1/2) into -1/2
11.687 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
11.687 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
11.688 * [backup-simplify]: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n))
11.688 * [backup-simplify]: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n)))
11.689 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
11.689 * [backup-simplify]: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))
11.690 * [backup-simplify]: Simplify (* 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into 0
11.690 * [backup-simplify]: Simplify 0 into 0
11.691 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
11.692 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
11.693 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
11.693 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
11.694 * [backup-simplify]: Simplify (- 0) into 0
11.694 * [backup-simplify]: Simplify (+ 0 0) into 0
11.695 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
11.696 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0
11.697 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
11.699 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
11.699 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
11.699 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
11.700 * [backup-simplify]: Simplify (- 0) into 0
11.700 * [backup-simplify]: Simplify (+ 0 0) into 0
11.701 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0
11.702 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
11.703 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into 0
11.704 * [backup-simplify]: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 0) (* 0 (sqrt k))) into 0
11.704 * [taylor]: Taking taylor expansion of 0 in k
11.704 * [backup-simplify]: Simplify 0 into 0
11.704 * [backup-simplify]: Simplify 0 into 0
11.705 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into 0
11.706 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))
11.707 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))
11.708 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
11.709 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.712 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
11.712 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
11.713 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
11.713 * [backup-simplify]: Simplify (- 0) into 0
11.714 * [backup-simplify]: Simplify (+ 0 0) into 0
11.714 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
11.715 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0
11.717 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
11.721 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
11.721 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
11.722 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
11.723 * [backup-simplify]: Simplify (- 0) into 0
11.723 * [backup-simplify]: Simplify (+ 0 0) into 0
11.728 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log PI)))) into 0
11.730 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
11.731 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0
11.732 * [backup-simplify]: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0
11.733 * [taylor]: Taking taylor expansion of 0 in k
11.733 * [backup-simplify]: Simplify 0 into 0
11.733 * [backup-simplify]: Simplify 0 into 0
11.733 * [backup-simplify]: Simplify 0 into 0
11.734 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0
11.737 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
11.739 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))
11.740 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))
11.740 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
11.742 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.747 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0
11.747 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
11.748 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
11.749 * [backup-simplify]: Simplify (- 0) into 0
11.749 * [backup-simplify]: Simplify (+ 0 0) into 0
11.750 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
11.751 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0
11.754 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
11.758 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0
11.758 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
11.759 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
11.759 * [backup-simplify]: Simplify (- 0) into 0
11.760 * [backup-simplify]: Simplify (+ 0 0) into 0
11.760 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))) into 0
11.761 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
11.762 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into 0
11.763 * [backup-simplify]: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0
11.763 * [taylor]: Taking taylor expansion of 0 in k
11.763 * [backup-simplify]: Simplify 0 into 0
11.763 * [backup-simplify]: Simplify 0 into 0
11.763 * [backup-simplify]: Simplify 0 into 0
11.763 * [backup-simplify]: Simplify 0 into 0
11.764 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into 0
11.767 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
11.768 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))
11.768 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))
11.770 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))) (pow k 3))))))))
11.771 * [backup-simplify]: Simplify (/ (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) (/ (sqrt (/ 1 (- k))) (pow PI (- 1/2 (/ (/ 1 (- k)) 2))))) into (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k)))
11.771 * [approximate]: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in (n k) around 0
11.771 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in k
11.771 * [taylor]: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k
11.771 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k
11.771 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k
11.771 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k
11.771 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
11.771 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
11.771 * [taylor]: Taking taylor expansion of 1/2 in k
11.771 * [backup-simplify]: Simplify 1/2 into 1/2
11.771 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.771 * [taylor]: Taking taylor expansion of k in k
11.771 * [backup-simplify]: Simplify 0 into 0
11.771 * [backup-simplify]: Simplify 1 into 1
11.771 * [backup-simplify]: Simplify (/ 1 1) into 1
11.771 * [taylor]: Taking taylor expansion of 1/2 in k
11.771 * [backup-simplify]: Simplify 1/2 into 1/2
11.771 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in k
11.771 * [taylor]: Taking taylor expansion of (/ -2 n) in k
11.771 * [taylor]: Taking taylor expansion of -2 in k
11.771 * [backup-simplify]: Simplify -2 into -2
11.771 * [taylor]: Taking taylor expansion of n in k
11.771 * [backup-simplify]: Simplify n into n
11.771 * [backup-simplify]: Simplify (/ -2 n) into (/ -2 n)
11.771 * [backup-simplify]: Simplify (log (/ -2 n)) into (log (/ -2 n))
11.772 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
11.772 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
11.772 * [backup-simplify]: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n)))
11.772 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))
11.772 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
11.772 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
11.772 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
11.772 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
11.772 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
11.772 * [taylor]: Taking taylor expansion of 1/2 in k
11.772 * [backup-simplify]: Simplify 1/2 into 1/2
11.772 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.772 * [taylor]: Taking taylor expansion of k in k
11.772 * [backup-simplify]: Simplify 0 into 0
11.772 * [backup-simplify]: Simplify 1 into 1
11.773 * [backup-simplify]: Simplify (/ 1 1) into 1
11.773 * [taylor]: Taking taylor expansion of 1/2 in k
11.773 * [backup-simplify]: Simplify 1/2 into 1/2
11.773 * [taylor]: Taking taylor expansion of (log PI) in k
11.773 * [taylor]: Taking taylor expansion of PI in k
11.773 * [backup-simplify]: Simplify PI into PI
11.773 * [backup-simplify]: Simplify (log PI) into (log PI)
11.773 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
11.773 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
11.774 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
11.774 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
11.774 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
11.774 * [taylor]: Taking taylor expansion of (/ -1 k) in k
11.774 * [taylor]: Taking taylor expansion of -1 in k
11.774 * [backup-simplify]: Simplify -1 into -1
11.774 * [taylor]: Taking taylor expansion of k in k
11.774 * [backup-simplify]: Simplify 0 into 0
11.774 * [backup-simplify]: Simplify 1 into 1
11.775 * [backup-simplify]: Simplify (/ -1 1) into -1
11.775 * [backup-simplify]: Simplify (sqrt 0) into 0
11.776 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
11.776 * [backup-simplify]: Simplify (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
11.776 * [backup-simplify]: Simplify (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))
11.776 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in n
11.776 * [taylor]: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n
11.776 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
11.776 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n
11.776 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n
11.776 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
11.776 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
11.776 * [taylor]: Taking taylor expansion of 1/2 in n
11.776 * [backup-simplify]: Simplify 1/2 into 1/2
11.776 * [taylor]: Taking taylor expansion of (/ 1 k) in n
11.776 * [taylor]: Taking taylor expansion of k in n
11.776 * [backup-simplify]: Simplify k into k
11.776 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
11.776 * [taylor]: Taking taylor expansion of 1/2 in n
11.776 * [backup-simplify]: Simplify 1/2 into 1/2
11.776 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in n
11.777 * [taylor]: Taking taylor expansion of (/ -2 n) in n
11.777 * [taylor]: Taking taylor expansion of -2 in n
11.777 * [backup-simplify]: Simplify -2 into -2
11.777 * [taylor]: Taking taylor expansion of n in n
11.777 * [backup-simplify]: Simplify 0 into 0
11.777 * [backup-simplify]: Simplify 1 into 1
11.777 * [backup-simplify]: Simplify (/ -2 1) into -2
11.777 * [backup-simplify]: Simplify (log -2) into (log -2)
11.777 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
11.777 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
11.778 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
11.778 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))
11.778 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
11.778 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n
11.778 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n
11.778 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n
11.778 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
11.778 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
11.778 * [taylor]: Taking taylor expansion of 1/2 in n
11.779 * [backup-simplify]: Simplify 1/2 into 1/2
11.779 * [taylor]: Taking taylor expansion of (/ 1 k) in n
11.779 * [taylor]: Taking taylor expansion of k in n
11.779 * [backup-simplify]: Simplify k into k
11.779 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
11.779 * [taylor]: Taking taylor expansion of 1/2 in n
11.779 * [backup-simplify]: Simplify 1/2 into 1/2
11.779 * [taylor]: Taking taylor expansion of (log PI) in n
11.779 * [taylor]: Taking taylor expansion of PI in n
11.779 * [backup-simplify]: Simplify PI into PI
11.779 * [backup-simplify]: Simplify (log PI) into (log PI)
11.779 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
11.779 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
11.779 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))
11.780 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
11.780 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
11.780 * [taylor]: Taking taylor expansion of (/ -1 k) in n
11.780 * [taylor]: Taking taylor expansion of -1 in n
11.780 * [backup-simplify]: Simplify -1 into -1
11.780 * [taylor]: Taking taylor expansion of k in n
11.780 * [backup-simplify]: Simplify k into k
11.780 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
11.780 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
11.780 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
11.780 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
11.780 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
11.781 * [backup-simplify]: Simplify (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) into (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k)))
11.781 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in n
11.781 * [taylor]: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n
11.781 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
11.781 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n
11.781 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n
11.781 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
11.781 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
11.781 * [taylor]: Taking taylor expansion of 1/2 in n
11.781 * [backup-simplify]: Simplify 1/2 into 1/2
11.781 * [taylor]: Taking taylor expansion of (/ 1 k) in n
11.781 * [taylor]: Taking taylor expansion of k in n
11.781 * [backup-simplify]: Simplify k into k
11.781 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
11.781 * [taylor]: Taking taylor expansion of 1/2 in n
11.781 * [backup-simplify]: Simplify 1/2 into 1/2
11.781 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in n
11.781 * [taylor]: Taking taylor expansion of (/ -2 n) in n
11.781 * [taylor]: Taking taylor expansion of -2 in n
11.781 * [backup-simplify]: Simplify -2 into -2
11.781 * [taylor]: Taking taylor expansion of n in n
11.781 * [backup-simplify]: Simplify 0 into 0
11.781 * [backup-simplify]: Simplify 1 into 1
11.782 * [backup-simplify]: Simplify (/ -2 1) into -2
11.782 * [backup-simplify]: Simplify (log -2) into (log -2)
11.782 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
11.782 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
11.783 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
11.783 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))
11.783 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
11.783 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n
11.783 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n
11.783 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n
11.783 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
11.783 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
11.783 * [taylor]: Taking taylor expansion of 1/2 in n
11.783 * [backup-simplify]: Simplify 1/2 into 1/2
11.783 * [taylor]: Taking taylor expansion of (/ 1 k) in n
11.783 * [taylor]: Taking taylor expansion of k in n
11.783 * [backup-simplify]: Simplify k into k
11.783 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
11.783 * [taylor]: Taking taylor expansion of 1/2 in n
11.783 * [backup-simplify]: Simplify 1/2 into 1/2
11.783 * [taylor]: Taking taylor expansion of (log PI) in n
11.783 * [taylor]: Taking taylor expansion of PI in n
11.783 * [backup-simplify]: Simplify PI into PI
11.784 * [backup-simplify]: Simplify (log PI) into (log PI)
11.784 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
11.784 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
11.784 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))
11.785 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
11.785 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
11.785 * [taylor]: Taking taylor expansion of (/ -1 k) in n
11.785 * [taylor]: Taking taylor expansion of -1 in n
11.785 * [backup-simplify]: Simplify -1 into -1
11.785 * [taylor]: Taking taylor expansion of k in n
11.785 * [backup-simplify]: Simplify k into k
11.785 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
11.785 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
11.785 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
11.785 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
11.786 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
11.787 * [backup-simplify]: Simplify (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) into (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k)))
11.787 * [taylor]: Taking taylor expansion of (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in k
11.787 * [taylor]: Taking taylor expansion of (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k
11.787 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k
11.787 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k
11.787 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
11.787 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
11.787 * [taylor]: Taking taylor expansion of 1/2 in k
11.787 * [backup-simplify]: Simplify 1/2 into 1/2
11.787 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.787 * [taylor]: Taking taylor expansion of k in k
11.787 * [backup-simplify]: Simplify 0 into 0
11.787 * [backup-simplify]: Simplify 1 into 1
11.788 * [backup-simplify]: Simplify (/ 1 1) into 1
11.788 * [taylor]: Taking taylor expansion of 1/2 in k
11.788 * [backup-simplify]: Simplify 1/2 into 1/2
11.788 * [taylor]: Taking taylor expansion of (- (log -2) (log n)) in k
11.788 * [taylor]: Taking taylor expansion of (log -2) in k
11.788 * [taylor]: Taking taylor expansion of -2 in k
11.788 * [backup-simplify]: Simplify -2 into -2
11.788 * [backup-simplify]: Simplify (log -2) into (log -2)
11.788 * [taylor]: Taking taylor expansion of (log n) in k
11.788 * [taylor]: Taking taylor expansion of n in k
11.788 * [backup-simplify]: Simplify n into n
11.788 * [backup-simplify]: Simplify (log n) into (log n)
11.789 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
11.789 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
11.789 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
11.790 * [backup-simplify]: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n))
11.790 * [backup-simplify]: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n)))
11.791 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
11.791 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
11.791 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
11.791 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
11.791 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
11.791 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
11.791 * [taylor]: Taking taylor expansion of 1/2 in k
11.791 * [backup-simplify]: Simplify 1/2 into 1/2
11.791 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.791 * [taylor]: Taking taylor expansion of k in k
11.791 * [backup-simplify]: Simplify 0 into 0
11.791 * [backup-simplify]: Simplify 1 into 1
11.791 * [backup-simplify]: Simplify (/ 1 1) into 1
11.791 * [taylor]: Taking taylor expansion of 1/2 in k
11.791 * [backup-simplify]: Simplify 1/2 into 1/2
11.792 * [taylor]: Taking taylor expansion of (log PI) in k
11.792 * [taylor]: Taking taylor expansion of PI in k
11.792 * [backup-simplify]: Simplify PI into PI
11.792 * [backup-simplify]: Simplify (log PI) into (log PI)
11.792 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
11.793 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
11.794 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
11.794 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
11.794 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
11.794 * [taylor]: Taking taylor expansion of (/ -1 k) in k
11.795 * [taylor]: Taking taylor expansion of -1 in k
11.795 * [backup-simplify]: Simplify -1 into -1
11.795 * [taylor]: Taking taylor expansion of k in k
11.795 * [backup-simplify]: Simplify 0 into 0
11.795 * [backup-simplify]: Simplify 1 into 1
11.795 * [backup-simplify]: Simplify (/ -1 1) into -1
11.795 * [backup-simplify]: Simplify (sqrt 0) into 0
11.797 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
11.797 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
11.798 * [backup-simplify]: Simplify (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))
11.799 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))
11.801 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
11.801 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
11.801 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
11.802 * [backup-simplify]: Simplify (+ 0 0) into 0
11.802 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0
11.804 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
11.805 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0
11.806 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0
11.806 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
11.807 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
11.807 * [backup-simplify]: Simplify (+ 0 0) into 0
11.808 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
11.809 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0
11.810 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
11.811 * [backup-simplify]: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0
11.812 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0
11.812 * [taylor]: Taking taylor expansion of 0 in k
11.812 * [backup-simplify]: Simplify 0 into 0
11.812 * [backup-simplify]: Simplify 0 into 0
11.813 * [backup-simplify]: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0
11.813 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.817 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
11.819 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))
11.820 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))
11.824 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
11.824 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
11.825 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
11.826 * [backup-simplify]: Simplify (+ 0 0) into 0
11.827 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (log PI)))) into 0
11.829 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
11.830 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.832 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0
11.833 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
11.834 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
11.834 * [backup-simplify]: Simplify (+ 0 0) into 0
11.835 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
11.836 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0
11.837 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
11.838 * [backup-simplify]: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 0) (+ (* 0 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0
11.839 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
11.839 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
11.840 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0
11.840 * [taylor]: Taking taylor expansion of 0 in k
11.840 * [backup-simplify]: Simplify 0 into 0
11.840 * [backup-simplify]: Simplify 0 into 0
11.840 * [backup-simplify]: Simplify 0 into 0
11.841 * [backup-simplify]: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 0) (+ (* 0 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0
11.842 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.846 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
11.849 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))
11.850 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))
11.856 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))) (* (/ 1 (- k)) 1)) (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))))) into (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))))))))
11.856 * * * * [progress]: [ 4 / 4 ] generating series at (2 2)
11.856 * [backup-simplify]: Simplify (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) into (* (/ 1 (pow PI (- 1/2 (* 1/2 k)))) (sqrt k))
11.856 * [approximate]: Taking taylor expansion of (* (/ 1 (pow PI (- 1/2 (* 1/2 k)))) (sqrt k)) in (k) around 0
11.856 * [taylor]: Taking taylor expansion of (* (/ 1 (pow PI (- 1/2 (* 1/2 k)))) (sqrt k)) in k
11.856 * [taylor]: Taking taylor expansion of (/ 1 (pow PI (- 1/2 (* 1/2 k)))) in k
11.856 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
11.856 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
11.856 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
11.856 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
11.856 * [taylor]: Taking taylor expansion of 1/2 in k
11.856 * [backup-simplify]: Simplify 1/2 into 1/2
11.856 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
11.856 * [taylor]: Taking taylor expansion of 1/2 in k
11.856 * [backup-simplify]: Simplify 1/2 into 1/2
11.856 * [taylor]: Taking taylor expansion of k in k
11.856 * [backup-simplify]: Simplify 0 into 0
11.856 * [backup-simplify]: Simplify 1 into 1
11.856 * [taylor]: Taking taylor expansion of (log PI) in k
11.856 * [taylor]: Taking taylor expansion of PI in k
11.856 * [backup-simplify]: Simplify PI into PI
11.857 * [backup-simplify]: Simplify (log PI) into (log PI)
11.858 * [backup-simplify]: Simplify (* 1/2 0) into 0
11.858 * [backup-simplify]: Simplify (- 0) into 0
11.858 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
11.859 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
11.861 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
11.862 * [backup-simplify]: Simplify (/ 1 (pow PI 1/2)) into (sqrt (/ 1 PI))
11.862 * [taylor]: Taking taylor expansion of (sqrt k) in k
11.862 * [taylor]: Taking taylor expansion of k in k
11.862 * [backup-simplify]: Simplify 0 into 0
11.862 * [backup-simplify]: Simplify 1 into 1
11.863 * [backup-simplify]: Simplify (sqrt 0) into 0
11.864 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
11.864 * [taylor]: Taking taylor expansion of (* (/ 1 (pow PI (- 1/2 (* 1/2 k)))) (sqrt k)) in k
11.864 * [taylor]: Taking taylor expansion of (/ 1 (pow PI (- 1/2 (* 1/2 k)))) in k
11.864 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
11.864 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
11.864 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
11.864 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
11.864 * [taylor]: Taking taylor expansion of 1/2 in k
11.864 * [backup-simplify]: Simplify 1/2 into 1/2
11.864 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
11.864 * [taylor]: Taking taylor expansion of 1/2 in k
11.864 * [backup-simplify]: Simplify 1/2 into 1/2
11.864 * [taylor]: Taking taylor expansion of k in k
11.864 * [backup-simplify]: Simplify 0 into 0
11.864 * [backup-simplify]: Simplify 1 into 1
11.864 * [taylor]: Taking taylor expansion of (log PI) in k
11.864 * [taylor]: Taking taylor expansion of PI in k
11.864 * [backup-simplify]: Simplify PI into PI
11.865 * [backup-simplify]: Simplify (log PI) into (log PI)
11.865 * [backup-simplify]: Simplify (* 1/2 0) into 0
11.866 * [backup-simplify]: Simplify (- 0) into 0
11.866 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
11.867 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
11.869 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
11.870 * [backup-simplify]: Simplify (/ 1 (pow PI 1/2)) into (sqrt (/ 1 PI))
11.870 * [taylor]: Taking taylor expansion of (sqrt k) in k
11.870 * [taylor]: Taking taylor expansion of k in k
11.870 * [backup-simplify]: Simplify 0 into 0
11.870 * [backup-simplify]: Simplify 1 into 1
11.870 * [backup-simplify]: Simplify (sqrt 0) into 0
11.872 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
11.873 * [backup-simplify]: Simplify (* (sqrt (/ 1 PI)) 0) into 0
11.873 * [backup-simplify]: Simplify 0 into 0
11.874 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
11.875 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
11.876 * [backup-simplify]: Simplify (- 1/2) into -1/2
11.876 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
11.879 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI)))
11.888 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI)))
11.900 * [backup-simplify]: Simplify (- (+ (* (sqrt (/ 1 PI)) (/ (* -1/2 (* (log PI) (sqrt PI))) (pow PI 1/2))))) into (* 1/2 (* (log PI) (sqrt (/ 1 PI))))
11.905 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 PI)) +nan.0) (* (* 1/2 (* (log PI) (sqrt (/ 1 PI)))) 0)) into (- (* +nan.0 (sqrt (/ 1 PI))))
11.908 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt (/ 1 PI)))) into (- (* +nan.0 (sqrt (/ 1 PI))))
11.910 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
11.911 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
11.912 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
11.912 * [backup-simplify]: Simplify (- 0) into 0
11.912 * [backup-simplify]: Simplify (+ 0 0) into 0
11.913 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0
11.920 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI)))
11.936 * [backup-simplify]: Simplify (- (+ (* (sqrt (/ 1 PI)) (/ (* 1/8 (* (pow (log PI) 2) (sqrt PI))) (pow PI 1/2))) (* (* 1/2 (* (log PI) (sqrt (/ 1 PI)))) (/ (* -1/2 (* (log PI) (sqrt PI))) (pow PI 1/2))))) into (* 1/8 (* (pow (log PI) 2) (sqrt (/ 1 PI))))
11.947 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 PI)) +nan.0) (+ (* (* 1/2 (* (log PI) (sqrt (/ 1 PI)))) +nan.0) (* (* 1/8 (* (pow (log PI) 2) (sqrt (/ 1 PI)))) 0))) into (- (+ (* +nan.0 (* (log PI) (sqrt (/ 1 PI)))) (- (* +nan.0 (sqrt (/ 1 PI))))))
11.956 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log PI) (sqrt (/ 1 PI)))) (- (* +nan.0 (sqrt (/ 1 PI)))))) into (- (+ (* +nan.0 (* (log PI) (sqrt (/ 1 PI)))) (- (* +nan.0 (sqrt (/ 1 PI))))))
11.961 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
11.967 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0
11.968 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
11.968 * [backup-simplify]: Simplify (- 0) into 0
11.969 * [backup-simplify]: Simplify (+ 0 0) into 0
11.970 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0
11.991 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 3) 6)) (* (/ (pow (- (* 1/2 (log PI))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (pow (log PI) 3) (sqrt PI)))
12.021 * [backup-simplify]: Simplify (- (+ (* (sqrt (/ 1 PI)) (/ (* -1/48 (* (pow (log PI) 3) (sqrt PI))) (pow PI 1/2))) (* (* 1/2 (* (log PI) (sqrt (/ 1 PI)))) (/ (* 1/8 (* (pow (log PI) 2) (sqrt PI))) (pow PI 1/2))) (* (* 1/8 (* (pow (log PI) 2) (sqrt (/ 1 PI)))) (/ (* -1/2 (* (log PI) (sqrt PI))) (pow PI 1/2))))) into (* 1/48 (* (pow (log PI) 3) (sqrt (/ 1 PI))))
12.037 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 PI)) +nan.0) (+ (* (* 1/2 (* (log PI) (sqrt (/ 1 PI)))) +nan.0) (+ (* (* 1/8 (* (pow (log PI) 2) (sqrt (/ 1 PI)))) +nan.0) (* (* 1/48 (* (pow (log PI) 3) (sqrt (/ 1 PI)))) 0)))) into (- (+ (* +nan.0 (* (pow (log PI) 2) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (log PI) (sqrt (/ 1 PI)))) (- (* +nan.0 (sqrt (/ 1 PI))))))))
12.055 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (pow (log PI) 2) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (log PI) (sqrt (/ 1 PI)))) (- (* +nan.0 (sqrt (/ 1 PI)))))))) into (- (+ (* +nan.0 (* (pow (log PI) 2) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (log PI) (sqrt (/ 1 PI)))) (- (* +nan.0 (sqrt (/ 1 PI))))))))
12.075 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (pow (log PI) 2) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (log PI) (sqrt (/ 1 PI)))) (- (* +nan.0 (sqrt (/ 1 PI)))))))) (pow k 3)) (+ (* (- (+ (* +nan.0 (* (log PI) (sqrt (/ 1 PI)))) (- (* +nan.0 (sqrt (/ 1 PI)))))) (pow k 2)) (* (- (* +nan.0 (sqrt (/ 1 PI)))) k))) into (- (+ (* +nan.0 (* (sqrt (/ 1 PI)) (pow k 3))) (- (+ (* +nan.0 (* (* (log PI) (pow k 3)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (* (pow (log PI) 2) (pow k 3)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (sqrt (/ 1 PI)) k)) (- (+ (* +nan.0 (* (* (log PI) (pow k 2)) (sqrt (/ 1 PI)))) (- (* +nan.0 (* (sqrt (/ 1 PI)) (pow k 2))))))))))))))
12.075 * [backup-simplify]: Simplify (/ (sqrt (/ 1 k)) (pow PI (- 1/2 (/ (/ 1 k) 2)))) into (* (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k)))
12.075 * [approximate]: Taking taylor expansion of (* (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in (k) around 0
12.075 * [taylor]: Taking taylor expansion of (* (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k
12.075 * [taylor]: Taking taylor expansion of (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))) in k
12.075 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
12.075 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
12.075 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
12.075 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
12.075 * [taylor]: Taking taylor expansion of 1/2 in k
12.075 * [backup-simplify]: Simplify 1/2 into 1/2
12.075 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
12.075 * [taylor]: Taking taylor expansion of 1/2 in k
12.075 * [backup-simplify]: Simplify 1/2 into 1/2
12.075 * [taylor]: Taking taylor expansion of (/ 1 k) in k
12.075 * [taylor]: Taking taylor expansion of k in k
12.075 * [backup-simplify]: Simplify 0 into 0
12.075 * [backup-simplify]: Simplify 1 into 1
12.076 * [backup-simplify]: Simplify (/ 1 1) into 1
12.076 * [taylor]: Taking taylor expansion of (log PI) in k
12.076 * [taylor]: Taking taylor expansion of PI in k
12.076 * [backup-simplify]: Simplify PI into PI
12.076 * [backup-simplify]: Simplify (log PI) into (log PI)
12.076 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
12.077 * [backup-simplify]: Simplify (- 1/2) into -1/2
12.077 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
12.080 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
12.080 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
12.080 * [backup-simplify]: Simplify (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))
12.080 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
12.080 * [taylor]: Taking taylor expansion of (/ 1 k) in k
12.080 * [taylor]: Taking taylor expansion of k in k
12.080 * [backup-simplify]: Simplify 0 into 0
12.080 * [backup-simplify]: Simplify 1 into 1
12.081 * [backup-simplify]: Simplify (/ 1 1) into 1
12.081 * [backup-simplify]: Simplify (sqrt 0) into 0
12.082 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
12.082 * [taylor]: Taking taylor expansion of (* (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k
12.082 * [taylor]: Taking taylor expansion of (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))) in k
12.082 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
12.082 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
12.082 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
12.082 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
12.082 * [taylor]: Taking taylor expansion of 1/2 in k
12.082 * [backup-simplify]: Simplify 1/2 into 1/2
12.082 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
12.082 * [taylor]: Taking taylor expansion of 1/2 in k
12.082 * [backup-simplify]: Simplify 1/2 into 1/2
12.082 * [taylor]: Taking taylor expansion of (/ 1 k) in k
12.082 * [taylor]: Taking taylor expansion of k in k
12.082 * [backup-simplify]: Simplify 0 into 0
12.082 * [backup-simplify]: Simplify 1 into 1
12.082 * [backup-simplify]: Simplify (/ 1 1) into 1
12.082 * [taylor]: Taking taylor expansion of (log PI) in k
12.082 * [taylor]: Taking taylor expansion of PI in k
12.082 * [backup-simplify]: Simplify PI into PI
12.083 * [backup-simplify]: Simplify (log PI) into (log PI)
12.083 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
12.083 * [backup-simplify]: Simplify (- 1/2) into -1/2
12.083 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
12.084 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
12.085 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
12.085 * [backup-simplify]: Simplify (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))
12.085 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
12.085 * [taylor]: Taking taylor expansion of (/ 1 k) in k
12.085 * [taylor]: Taking taylor expansion of k in k
12.085 * [backup-simplify]: Simplify 0 into 0
12.085 * [backup-simplify]: Simplify 1 into 1
12.085 * [backup-simplify]: Simplify (/ 1 1) into 1
12.086 * [backup-simplify]: Simplify (sqrt 0) into 0
12.087 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
12.087 * [backup-simplify]: Simplify (* (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0
12.087 * [backup-simplify]: Simplify 0 into 0
12.088 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into 0
12.088 * [backup-simplify]: Simplify (+ (* (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))
12.089 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))
12.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.092 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
12.093 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into 0
12.094 * [backup-simplify]: Simplify (+ (* (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))
12.094 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))
12.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.099 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
12.100 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into 0
12.100 * [backup-simplify]: Simplify (+ (* (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))
12.101 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))
12.101 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))))) (pow (/ 1 k) 2)) (+ (* (- (* +nan.0 (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))))) (/ 1 k)) (- (* +nan.0 (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))))))) into (- (+ (* +nan.0 (/ 1 (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) k))) (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) (pow k 2)))))))))
12.101 * [backup-simplify]: Simplify (/ (sqrt (/ 1 (- k))) (pow PI (- 1/2 (/ (/ 1 (- k)) 2)))) into (/ (sqrt (/ -1 k)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
12.101 * [approximate]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in (k) around 0
12.101 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k
12.101 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
12.101 * [taylor]: Taking taylor expansion of (/ -1 k) in k
12.101 * [taylor]: Taking taylor expansion of -1 in k
12.101 * [backup-simplify]: Simplify -1 into -1
12.101 * [taylor]: Taking taylor expansion of k in k
12.101 * [backup-simplify]: Simplify 0 into 0
12.101 * [backup-simplify]: Simplify 1 into 1
12.102 * [backup-simplify]: Simplify (/ -1 1) into -1
12.102 * [backup-simplify]: Simplify (sqrt 0) into 0
12.103 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
12.103 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
12.103 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
12.103 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
12.103 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
12.103 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
12.103 * [taylor]: Taking taylor expansion of 1/2 in k
12.103 * [backup-simplify]: Simplify 1/2 into 1/2
12.103 * [taylor]: Taking taylor expansion of (/ 1 k) in k
12.103 * [taylor]: Taking taylor expansion of k in k
12.103 * [backup-simplify]: Simplify 0 into 0
12.103 * [backup-simplify]: Simplify 1 into 1
12.103 * [backup-simplify]: Simplify (/ 1 1) into 1
12.103 * [taylor]: Taking taylor expansion of 1/2 in k
12.103 * [backup-simplify]: Simplify 1/2 into 1/2
12.103 * [taylor]: Taking taylor expansion of (log PI) in k
12.103 * [taylor]: Taking taylor expansion of PI in k
12.103 * [backup-simplify]: Simplify PI into PI
12.104 * [backup-simplify]: Simplify (log PI) into (log PI)
12.104 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
12.104 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
12.105 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
12.105 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
12.105 * [backup-simplify]: Simplify (/ +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (/ +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
12.105 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k
12.105 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
12.105 * [taylor]: Taking taylor expansion of (/ -1 k) in k
12.105 * [taylor]: Taking taylor expansion of -1 in k
12.105 * [backup-simplify]: Simplify -1 into -1
12.105 * [taylor]: Taking taylor expansion of k in k
12.105 * [backup-simplify]: Simplify 0 into 0
12.106 * [backup-simplify]: Simplify 1 into 1
12.106 * [backup-simplify]: Simplify (/ -1 1) into -1
12.106 * [backup-simplify]: Simplify (sqrt 0) into 0
12.107 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
12.107 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
12.107 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
12.107 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
12.107 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
12.107 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
12.107 * [taylor]: Taking taylor expansion of 1/2 in k
12.107 * [backup-simplify]: Simplify 1/2 into 1/2
12.107 * [taylor]: Taking taylor expansion of (/ 1 k) in k
12.107 * [taylor]: Taking taylor expansion of k in k
12.107 * [backup-simplify]: Simplify 0 into 0
12.107 * [backup-simplify]: Simplify 1 into 1
12.107 * [backup-simplify]: Simplify (/ 1 1) into 1
12.107 * [taylor]: Taking taylor expansion of 1/2 in k
12.107 * [backup-simplify]: Simplify 1/2 into 1/2
12.107 * [taylor]: Taking taylor expansion of (log PI) in k
12.107 * [taylor]: Taking taylor expansion of PI in k
12.107 * [backup-simplify]: Simplify PI into PI
12.108 * [backup-simplify]: Simplify (log PI) into (log PI)
12.108 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
12.108 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
12.109 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
12.109 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
12.109 * [backup-simplify]: Simplify (/ +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (/ +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
12.109 * [backup-simplify]: Simplify (/ +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (/ +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
12.110 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.112 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
12.112 * [backup-simplify]: Simplify (- (/ +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (/ 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (/ 1 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))
12.112 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (/ 1 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))
12.113 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.115 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
12.116 * [backup-simplify]: Simplify (- (/ +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (/ 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (* (- (* +nan.0 (/ 1 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) (/ 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (/ 1 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))
12.116 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (/ 1 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))
12.116 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ 1 (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (/ 1 (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))) (/ 1 (- k))) (/ +nan.0 (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))) into (- (+ (* +nan.0 (/ 1 (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) k))) (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) (pow k 2)))))))))
12.116 * * * [progress]: simplifying candidates
12.116 * * * * [progress]: [ 1 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (+ (log n) (log 2)) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
12.117 * * * * [progress]: [ 2 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* n 2)) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
12.117 * * * * [progress]: [ 3 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* n 2)) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
12.117 * * * * [progress]: [ 4 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (* 1 (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
12.117 * * * * [progress]: [ 5 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (* 1 (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
12.117 * * * * [progress]: [ 6 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
12.117 * * * * [progress]: [ 7 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n 2) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
12.117 * * * * [progress]: [ 8 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n 2) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
12.117 * * * * [progress]: [ 9 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n 2) 1) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
12.117 * * * * [progress]: [ 10 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n 2) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
12.117 * * * * [progress]: [ 11 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n 2) (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2)))) (- (sqrt 1/2) (/ (sqrt k) (sqrt 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
12.117 * * * * [progress]: [ 12 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n 2) 1) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
12.117 * * * * [progress]: [ 13 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
12.117 * * * * [progress]: [ 14 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
12.117 * * * * [progress]: [ 15 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
12.117 * * * * [progress]: [ 16 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n 2) (- 1/2 (/ k 2))) 1) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
12.117 * * * * [progress]: [ 17 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (exp (log (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
12.117 * * * * [progress]: [ 18 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (log (exp (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
12.118 * * * * [progress]: [ 19 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
12.118 * * * * [progress]: [ 20 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (cbrt (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
12.118 * * * * [progress]: [ 21 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
12.118 * * * * [progress]: [ 22 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
12.118 * * * * [progress]: [ 23 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
12.118 * * * * [progress]: [ 24 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (posit16->real (real->posit16 (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
12.118 * * * * [progress]: [ 25 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (exp (* (log PI) (- 1/2 (/ k 2)))))))>
12.118 * * * * [progress]: [ 26 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (exp (* (log PI) (- 1/2 (/ k 2)))))))>
12.118 * * * * [progress]: [ 27 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (* 1 (- 1/2 (/ k 2)))))))>
12.118 * * * * [progress]: [ 28 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (/ (pow PI 1/2) (pow PI (/ k 2))))))>
12.118 * * * * [progress]: [ 29 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))))))>
12.118 * * * * [progress]: [ 30 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow (pow PI (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))))))>
12.118 * * * * [progress]: [ 31 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow (pow PI 1) (- 1/2 (/ k 2))))))>
12.118 * * * * [progress]: [ 32 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))))))>
12.118 * * * * [progress]: [ 33 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow (pow PI (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2)))) (- (sqrt 1/2) (/ (sqrt k) (sqrt 2)))))))>
12.118 * * * * [progress]: [ 34 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow (pow PI 1) (- 1/2 (/ k 2))))))>
12.119 * * * * [progress]: [ 35 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (* (pow PI 1/2) (pow PI (- (/ k 2)))))))>
12.119 * * * * [progress]: [ 36 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (* (pow PI 1/2) (pow PI (- (/ k 2)))))))>
12.119 * * * * [progress]: [ 37 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (* (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.119 * * * * [progress]: [ 38 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (* (pow (sqrt PI) (- 1/2 (/ k 2))) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.119 * * * * [progress]: [ 39 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (* (pow 1 (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))))>
12.119 * * * * [progress]: [ 40 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow (pow PI (- 1/2 (/ k 2))) 1))))>
12.119 * * * * [progress]: [ 41 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (exp (log (pow PI (- 1/2 (/ k 2))))))))>
12.119 * * * * [progress]: [ 42 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (log (exp (pow PI (- 1/2 (/ k 2))))))))>
12.119 * * * * [progress]: [ 43 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.119 * * * * [progress]: [ 44 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (cbrt (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2))))))))>
12.119 * * * * [progress]: [ 45 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.119 * * * * [progress]: [ 46 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (* 1 (pow PI (- 1/2 (/ k 2)))))))>
12.119 * * * * [progress]: [ 47 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (* (pow PI (/ (- 1/2 (/ k 2)) 2)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.119 * * * * [progress]: [ 48 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (posit16->real (real->posit16 (pow PI (- 1/2 (/ k 2))))))))>
12.119 * * * * [progress]: [ 49 / 655 ] simplifiying candidate #<alt (λ (k n) (pow (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1))>
12.119 * * * * [progress]: [ 50 / 655 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (+ (log n) (log 2)) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (log PI) (- 1/2 (/ k 2)))))))>
12.119 * * * * [progress]: [ 51 / 655 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (+ (log n) (log 2)) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (log PI) (- 1/2 (/ k 2)))))))>
12.119 * * * * [progress]: [ 52 / 655 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (+ (log n) (log 2)) (- 1/2 (/ k 2))) (- (log (sqrt k)) (log (pow PI (- 1/2 (/ k 2))))))))>
12.119 * * * * [progress]: [ 53 / 655 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (+ (log n) (log 2)) (- 1/2 (/ k 2))) (log (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
12.119 * * * * [progress]: [ 54 / 655 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* n 2)) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (log PI) (- 1/2 (/ k 2)))))))>
12.119 * * * * [progress]: [ 55 / 655 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* n 2)) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (log PI) (- 1/2 (/ k 2)))))))>
12.119 * * * * [progress]: [ 56 / 655 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* n 2)) (- 1/2 (/ k 2))) (- (log (sqrt k)) (log (pow PI (- 1/2 (/ k 2))))))))>
12.119 * * * * [progress]: [ 57 / 655 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
12.120 * * * * [progress]: [ 58 / 655 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* n 2)) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (log PI) (- 1/2 (/ k 2)))))))>
12.120 * * * * [progress]: [ 59 / 655 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* n 2)) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (log PI) (- 1/2 (/ k 2)))))))>
12.120 * * * * [progress]: [ 60 / 655 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* n 2)) (- 1/2 (/ k 2))) (- (log (sqrt k)) (log (pow PI (- 1/2 (/ k 2))))))))>
12.120 * * * * [progress]: [ 61 / 655 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
12.120 * * * * [progress]: [ 62 / 655 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (pow (* n 2) (- 1/2 (/ k 2)))) (- (log (sqrt k)) (* (log PI) (- 1/2 (/ k 2)))))))>
12.120 * * * * [progress]: [ 63 / 655 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (pow (* n 2) (- 1/2 (/ k 2)))) (- (log (sqrt k)) (* (log PI) (- 1/2 (/ k 2)))))))>
12.120 * * * * [progress]: [ 64 / 655 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (pow (* n 2) (- 1/2 (/ k 2)))) (- (log (sqrt k)) (log (pow PI (- 1/2 (/ k 2))))))))>
12.120 * * * * [progress]: [ 65 / 655 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (pow (* n 2) (- 1/2 (/ k 2)))) (log (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
12.120 * * * * [progress]: [ 66 / 655 ] simplifiying candidate #<alt (λ (k n) (exp (log (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
12.120 * * * * [progress]: [ 67 / 655 ] simplifiying candidate #<alt (λ (k n) (log (exp (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
12.120 * * * * [progress]: [ 68 / 655 ] simplifiying candidate #<alt (λ (k n) (cbrt (/ (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2))))))))>
12.120 * * * * [progress]: [ 69 / 655 ] simplifiying candidate #<alt (λ (k n) (cbrt (/ (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) (* (* (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
12.120 * * * * [progress]: [ 70 / 655 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
12.120 * * * * [progress]: [ 71 / 655 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
12.120 * * * * [progress]: [ 72 / 655 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
12.120 * * * * [progress]: [ 73 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (- (pow (* n 2) (- 1/2 (/ k 2)))) (- (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.120 * * * * [progress]: [ 74 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (* (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
12.120 * * * * [progress]: [ 75 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
12.120 * * * * [progress]: [ 76 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2))) (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.120 * * * * [progress]: [ 77 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2))) (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.120 * * * * [progress]: [ 78 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.121 * * * * [progress]: [ 79 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.121 * * * * [progress]: [ 80 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 1 (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.121 * * * * [progress]: [ 81 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.121 * * * * [progress]: [ 82 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.121 * * * * [progress]: [ 83 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.121 * * * * [progress]: [ 84 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.121 * * * * [progress]: [ 85 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI 1/2))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (cbrt k)) (pow PI (- (/ k 2)))))))>
12.121 * * * * [progress]: [ 86 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI 1/2))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (cbrt k)) (pow PI (- (/ k 2)))))))>
12.121 * * * * [progress]: [ 87 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (cbrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.121 * * * * [progress]: [ 88 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (cbrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.121 * * * * [progress]: [ 89 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) (pow 1 (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (cbrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.121 * * * * [progress]: [ 90 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (cbrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.121 * * * * [progress]: [ 91 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (cbrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.121 * * * * [progress]: [ 92 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) 1)) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (cbrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.121 * * * * [progress]: [ 93 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (cbrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.121 * * * * [progress]: [ 94 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.121 * * * * [progress]: [ 95 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.121 * * * * [progress]: [ 96 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.121 * * * * [progress]: [ 97 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.122 * * * * [progress]: [ 98 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow 1 (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.122 * * * * [progress]: [ 99 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.122 * * * * [progress]: [ 100 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.122 * * * * [progress]: [ 101 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) 1)) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.122 * * * * [progress]: [ 102 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.122 * * * * [progress]: [ 103 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt 1) (pow PI 1/2))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
12.122 * * * * [progress]: [ 104 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt 1) (pow PI 1/2))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
12.122 * * * * [progress]: [ 105 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt 1) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.122 * * * * [progress]: [ 106 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt 1) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.122 * * * * [progress]: [ 107 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt 1) (pow 1 (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.122 * * * * [progress]: [ 108 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt 1) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.122 * * * * [progress]: [ 109 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt 1) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.122 * * * * [progress]: [ 110 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt 1) 1)) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.122 * * * * [progress]: [ 111 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt 1) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.122 * * * * [progress]: [ 112 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.122 * * * * [progress]: [ 113 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.122 * * * * [progress]: [ 114 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.122 * * * * [progress]: [ 115 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.122 * * * * [progress]: [ 116 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow 1 (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.122 * * * * [progress]: [ 117 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.122 * * * * [progress]: [ 118 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.123 * * * * [progress]: [ 119 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) 1)) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.123 * * * * [progress]: [ 120 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.123 * * * * [progress]: [ 121 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ 1 (pow PI 1/2))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
12.123 * * * * [progress]: [ 122 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ 1 (pow PI 1/2))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
12.123 * * * * [progress]: [ 123 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ 1 (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.124 * * * * [progress]: [ 124 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ 1 (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.124 * * * * [progress]: [ 125 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ 1 (pow 1 (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.124 * * * * [progress]: [ 126 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ 1 (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.124 * * * * [progress]: [ 127 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ 1 (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.124 * * * * [progress]: [ 128 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ 1 1)) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.124 * * * * [progress]: [ 129 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ 1 (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.124 * * * * [progress]: [ 130 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) 1) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.124 * * * * [progress]: [ 131 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (sqrt k)) (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI (- 1/2 (/ k 2)))))))>
12.124 * * * * [progress]: [ 132 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt k) (pow PI 1/2))) (/ (pow (* n 2) (- (/ k 2))) (pow PI (/ k 2)))))>
12.124 * * * * [progress]: [ 133 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (* (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
12.124 * * * * [progress]: [ 134 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
12.124 * * * * [progress]: [ 135 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2))) (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.124 * * * * [progress]: [ 136 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2))) (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.124 * * * * [progress]: [ 137 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.124 * * * * [progress]: [ 138 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.124 * * * * [progress]: [ 139 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 1 (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.124 * * * * [progress]: [ 140 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.124 * * * * [progress]: [ 141 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.124 * * * * [progress]: [ 142 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.124 * * * * [progress]: [ 143 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.124 * * * * [progress]: [ 144 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI 1/2))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (cbrt k)) (pow PI (- (/ k 2)))))))>
12.125 * * * * [progress]: [ 145 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI 1/2))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (cbrt k)) (pow PI (- (/ k 2)))))))>
12.125 * * * * [progress]: [ 146 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (cbrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.125 * * * * [progress]: [ 147 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (cbrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.125 * * * * [progress]: [ 148 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) (pow 1 (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (cbrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.125 * * * * [progress]: [ 149 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (cbrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.125 * * * * [progress]: [ 150 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (cbrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.125 * * * * [progress]: [ 151 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) 1)) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (cbrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.125 * * * * [progress]: [ 152 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (cbrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.125 * * * * [progress]: [ 153 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.125 * * * * [progress]: [ 154 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.125 * * * * [progress]: [ 155 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.125 * * * * [progress]: [ 156 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.125 * * * * [progress]: [ 157 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow 1 (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.125 * * * * [progress]: [ 158 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.125 * * * * [progress]: [ 159 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.125 * * * * [progress]: [ 160 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) 1)) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.125 * * * * [progress]: [ 161 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.125 * * * * [progress]: [ 162 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt 1) (pow PI 1/2))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
12.125 * * * * [progress]: [ 163 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt 1) (pow PI 1/2))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
12.125 * * * * [progress]: [ 164 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt 1) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.125 * * * * [progress]: [ 165 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt 1) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.125 * * * * [progress]: [ 166 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt 1) (pow 1 (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.126 * * * * [progress]: [ 167 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt 1) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.126 * * * * [progress]: [ 168 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt 1) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.126 * * * * [progress]: [ 169 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt 1) 1)) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.126 * * * * [progress]: [ 170 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt 1) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.126 * * * * [progress]: [ 171 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.126 * * * * [progress]: [ 172 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.126 * * * * [progress]: [ 173 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.126 * * * * [progress]: [ 174 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.126 * * * * [progress]: [ 175 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow 1 (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.126 * * * * [progress]: [ 176 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.126 * * * * [progress]: [ 177 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.126 * * * * [progress]: [ 178 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) 1)) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.126 * * * * [progress]: [ 179 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.126 * * * * [progress]: [ 180 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ 1 (pow PI 1/2))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
12.126 * * * * [progress]: [ 181 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ 1 (pow PI 1/2))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
12.126 * * * * [progress]: [ 182 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ 1 (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.126 * * * * [progress]: [ 183 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ 1 (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.126 * * * * [progress]: [ 184 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ 1 (pow 1 (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.126 * * * * [progress]: [ 185 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ 1 (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.126 * * * * [progress]: [ 186 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ 1 (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.126 * * * * [progress]: [ 187 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ 1 1)) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.126 * * * * [progress]: [ 188 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ 1 (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.127 * * * * [progress]: [ 189 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) 1) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.127 * * * * [progress]: [ 190 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (sqrt k)) (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI (- 1/2 (/ k 2)))))))>
12.127 * * * * [progress]: [ 191 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt k) (pow PI 1/2))) (/ (pow (* n 2) (- (/ k 2))) (pow PI (/ k 2)))))>
12.127 * * * * [progress]: [ 192 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
12.127 * * * * [progress]: [ 193 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
12.127 * * * * [progress]: [ 194 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.127 * * * * [progress]: [ 195 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.127 * * * * [progress]: [ 196 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.127 * * * * [progress]: [ 197 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.127 * * * * [progress]: [ 198 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 1 (- 1/2 (/ k 2))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.127 * * * * [progress]: [ 199 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.127 * * * * [progress]: [ 200 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.127 * * * * [progress]: [ 201 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (pow 2 (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.127 * * * * [progress]: [ 202 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.127 * * * * [progress]: [ 203 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI 1/2))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (pow PI (- (/ k 2)))))))>
12.127 * * * * [progress]: [ 204 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI 1/2))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (pow PI (- (/ k 2)))))))>
12.127 * * * * [progress]: [ 205 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.127 * * * * [progress]: [ 206 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.127 * * * * [progress]: [ 207 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow 1 (- 1/2 (/ k 2))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.127 * * * * [progress]: [ 208 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.127 * * * * [progress]: [ 209 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.128 * * * * [progress]: [ 210 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) 1)) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.128 * * * * [progress]: [ 211 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.128 * * * * [progress]: [ 212 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.128 * * * * [progress]: [ 213 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.128 * * * * [progress]: [ 214 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.128 * * * * [progress]: [ 215 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.128 * * * * [progress]: [ 216 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow 1 (- 1/2 (/ k 2))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.128 * * * * [progress]: [ 217 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.128 * * * * [progress]: [ 218 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.128 * * * * [progress]: [ 219 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) 1)) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.128 * * * * [progress]: [ 220 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.128 * * * * [progress]: [ 221 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt 1) (pow PI 1/2))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
12.128 * * * * [progress]: [ 222 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt 1) (pow PI 1/2))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
12.128 * * * * [progress]: [ 223 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt 1) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.128 * * * * [progress]: [ 224 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt 1) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.128 * * * * [progress]: [ 225 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt 1) (pow 1 (- 1/2 (/ k 2))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.128 * * * * [progress]: [ 226 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt 1) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.129 * * * * [progress]: [ 227 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt 1) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.129 * * * * [progress]: [ 228 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt 1) 1)) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.129 * * * * [progress]: [ 229 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt 1) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.129 * * * * [progress]: [ 230 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.129 * * * * [progress]: [ 231 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.129 * * * * [progress]: [ 232 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.129 * * * * [progress]: [ 233 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.129 * * * * [progress]: [ 234 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow 1 (- 1/2 (/ k 2))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.129 * * * * [progress]: [ 235 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.129 * * * * [progress]: [ 236 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.129 * * * * [progress]: [ 237 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) 1)) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.130 * * * * [progress]: [ 238 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.131 * * * * [progress]: [ 239 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
12.131 * * * * [progress]: [ 240 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
12.131 * * * * [progress]: [ 241 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ 1 (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.131 * * * * [progress]: [ 242 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ 1 (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.131 * * * * [progress]: [ 243 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ 1 (pow 1 (- 1/2 (/ k 2))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.131 * * * * [progress]: [ 244 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ 1 (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.131 * * * * [progress]: [ 245 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ 1 (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.131 * * * * [progress]: [ 246 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ 1 1)) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.131 * * * * [progress]: [ 247 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ 1 (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.131 * * * * [progress]: [ 248 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) 1) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.131 * * * * [progress]: [ 249 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt k)) (/ (pow 2 (- 1/2 (/ k 2))) (/ 1 (pow PI (- 1/2 (/ k 2)))))))>
12.132 * * * * [progress]: [ 250 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI 1/2))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
12.132 * * * * [progress]: [ 251 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
12.132 * * * * [progress]: [ 252 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
12.132 * * * * [progress]: [ 253 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.132 * * * * [progress]: [ 254 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.132 * * * * [progress]: [ 255 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.132 * * * * [progress]: [ 256 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.132 * * * * [progress]: [ 257 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 1 (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.132 * * * * [progress]: [ 258 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.132 * * * * [progress]: [ 259 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.133 * * * * [progress]: [ 260 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.133 * * * * [progress]: [ 261 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.133 * * * * [progress]: [ 262 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI 1/2))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (pow PI (- (/ k 2)))))))>
12.133 * * * * [progress]: [ 263 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI 1/2))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (pow PI (- (/ k 2)))))))>
12.133 * * * * [progress]: [ 264 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.133 * * * * [progress]: [ 265 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.133 * * * * [progress]: [ 266 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow 1 (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.133 * * * * [progress]: [ 267 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.133 * * * * [progress]: [ 268 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.133 * * * * [progress]: [ 269 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt k) (cbrt k))) 1)) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.134 * * * * [progress]: [ 270 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.134 * * * * [progress]: [ 271 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.134 * * * * [progress]: [ 272 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.134 * * * * [progress]: [ 273 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.134 * * * * [progress]: [ 274 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.134 * * * * [progress]: [ 275 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 1 (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.134 * * * * [progress]: [ 276 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.134 * * * * [progress]: [ 277 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.134 * * * * [progress]: [ 278 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) 1)) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.134 * * * * [progress]: [ 279 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.134 * * * * [progress]: [ 280 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) (pow PI 1/2))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
12.134 * * * * [progress]: [ 281 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) (pow PI 1/2))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
12.135 * * * * [progress]: [ 282 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.135 * * * * [progress]: [ 283 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.135 * * * * [progress]: [ 284 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) (pow 1 (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.135 * * * * [progress]: [ 285 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.135 * * * * [progress]: [ 286 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.135 * * * * [progress]: [ 287 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) 1)) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.135 * * * * [progress]: [ 288 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.135 * * * * [progress]: [ 289 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.135 * * * * [progress]: [ 290 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.135 * * * * [progress]: [ 291 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.135 * * * * [progress]: [ 292 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.135 * * * * [progress]: [ 293 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 1 (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.135 * * * * [progress]: [ 294 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.136 * * * * [progress]: [ 295 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.136 * * * * [progress]: [ 296 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) 1)) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.136 * * * * [progress]: [ 297 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.136 * * * * [progress]: [ 298 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (pow PI 1/2))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
12.136 * * * * [progress]: [ 299 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (pow PI 1/2))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
12.136 * * * * [progress]: [ 300 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.136 * * * * [progress]: [ 301 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.136 * * * * [progress]: [ 302 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (pow 1 (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.136 * * * * [progress]: [ 303 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.136 * * * * [progress]: [ 304 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.136 * * * * [progress]: [ 305 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 1)) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.136 * * * * [progress]: [ 306 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.137 * * * * [progress]: [ 307 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.137 * * * * [progress]: [ 308 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k)) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI (- 1/2 (/ k 2)))))))>
12.137 * * * * [progress]: [ 309 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow PI 1/2))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (/ k 2)))))>
12.137 * * * * [progress]: [ 310 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
12.137 * * * * [progress]: [ 311 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
12.137 * * * * [progress]: [ 312 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.137 * * * * [progress]: [ 313 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.137 * * * * [progress]: [ 314 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.137 * * * * [progress]: [ 315 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.137 * * * * [progress]: [ 316 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 1 (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.137 * * * * [progress]: [ 317 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.137 * * * * [progress]: [ 318 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.137 * * * * [progress]: [ 319 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.138 * * * * [progress]: [ 320 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.138 * * * * [progress]: [ 321 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI 1/2))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (pow PI (- (/ k 2)))))))>
12.138 * * * * [progress]: [ 322 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI 1/2))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (pow PI (- (/ k 2)))))))>
12.138 * * * * [progress]: [ 323 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.138 * * * * [progress]: [ 324 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.138 * * * * [progress]: [ 325 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow 1 (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.138 * * * * [progress]: [ 326 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.138 * * * * [progress]: [ 327 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.138 * * * * [progress]: [ 328 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (* (cbrt k) (cbrt k))) 1)) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.138 * * * * [progress]: [ 329 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.138 * * * * [progress]: [ 330 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.138 * * * * [progress]: [ 331 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.139 * * * * [progress]: [ 332 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.139 * * * * [progress]: [ 333 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.139 * * * * [progress]: [ 334 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 1 (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.139 * * * * [progress]: [ 335 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.139 * * * * [progress]: [ 336 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.139 * * * * [progress]: [ 337 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) 1)) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.140 * * * * [progress]: [ 338 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.140 * * * * [progress]: [ 339 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt 1) (pow PI 1/2))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
12.140 * * * * [progress]: [ 340 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt 1) (pow PI 1/2))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
12.140 * * * * [progress]: [ 341 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt 1) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.140 * * * * [progress]: [ 342 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt 1) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.140 * * * * [progress]: [ 343 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt 1) (pow 1 (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.140 * * * * [progress]: [ 344 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt 1) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.140 * * * * [progress]: [ 345 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt 1) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.140 * * * * [progress]: [ 346 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt 1) 1)) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.140 * * * * [progress]: [ 347 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt 1) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.140 * * * * [progress]: [ 348 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.140 * * * * [progress]: [ 349 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.141 * * * * [progress]: [ 350 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.141 * * * * [progress]: [ 351 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.141 * * * * [progress]: [ 352 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 1 (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.141 * * * * [progress]: [ 353 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.141 * * * * [progress]: [ 354 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.141 * * * * [progress]: [ 355 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) 1)) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.141 * * * * [progress]: [ 356 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.141 * * * * [progress]: [ 357 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
12.141 * * * * [progress]: [ 358 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
12.141 * * * * [progress]: [ 359 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.141 * * * * [progress]: [ 360 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.141 * * * * [progress]: [ 361 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow 1 (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.141 * * * * [progress]: [ 362 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.142 * * * * [progress]: [ 363 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.142 * * * * [progress]: [ 364 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 1)) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.142 * * * * [progress]: [ 365 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.142 * * * * [progress]: [ 366 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.142 * * * * [progress]: [ 367 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI (- 1/2 (/ k 2)))))))>
12.142 * * * * [progress]: [ 368 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI 1/2))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (/ k 2)))))>
12.142 * * * * [progress]: [ 369 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
12.142 * * * * [progress]: [ 370 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
12.142 * * * * [progress]: [ 371 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.142 * * * * [progress]: [ 372 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.142 * * * * [progress]: [ 373 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.142 * * * * [progress]: [ 374 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.142 * * * * [progress]: [ 375 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 1 (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.143 * * * * [progress]: [ 376 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.143 * * * * [progress]: [ 377 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.143 * * * * [progress]: [ 378 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.143 * * * * [progress]: [ 379 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.143 * * * * [progress]: [ 380 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI 1/2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (pow PI (- (/ k 2)))))))>
12.143 * * * * [progress]: [ 381 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI 1/2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (pow PI (- (/ k 2)))))))>
12.143 * * * * [progress]: [ 382 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.143 * * * * [progress]: [ 383 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.143 * * * * [progress]: [ 384 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow 1 (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.143 * * * * [progress]: [ 385 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.143 * * * * [progress]: [ 386 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.143 * * * * [progress]: [ 387 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) 1)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.143 * * * * [progress]: [ 388 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.144 * * * * [progress]: [ 389 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.144 * * * * [progress]: [ 390 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.144 * * * * [progress]: [ 391 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.144 * * * * [progress]: [ 392 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.144 * * * * [progress]: [ 393 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow 1 (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.144 * * * * [progress]: [ 394 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.144 * * * * [progress]: [ 395 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.144 * * * * [progress]: [ 396 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) 1)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.144 * * * * [progress]: [ 397 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.144 * * * * [progress]: [ 398 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (pow PI 1/2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
12.144 * * * * [progress]: [ 399 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (pow PI 1/2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
12.144 * * * * [progress]: [ 400 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.145 * * * * [progress]: [ 401 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.145 * * * * [progress]: [ 402 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (pow 1 (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.145 * * * * [progress]: [ 403 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.145 * * * * [progress]: [ 404 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.145 * * * * [progress]: [ 405 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) 1)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.145 * * * * [progress]: [ 406 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.145 * * * * [progress]: [ 407 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.145 * * * * [progress]: [ 408 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.145 * * * * [progress]: [ 409 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.145 * * * * [progress]: [ 410 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.145 * * * * [progress]: [ 411 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow 1 (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.145 * * * * [progress]: [ 412 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.145 * * * * [progress]: [ 413 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.146 * * * * [progress]: [ 414 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) 1)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.146 * * * * [progress]: [ 415 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.146 * * * * [progress]: [ 416 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (pow PI 1/2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
12.146 * * * * [progress]: [ 417 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (pow PI 1/2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
12.146 * * * * [progress]: [ 418 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.146 * * * * [progress]: [ 419 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.146 * * * * [progress]: [ 420 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (pow 1 (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.146 * * * * [progress]: [ 421 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.146 * * * * [progress]: [ 422 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.146 * * * * [progress]: [ 423 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 1)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.146 * * * * [progress]: [ 424 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.146 * * * * [progress]: [ 425 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.146 * * * * [progress]: [ 426 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI (- 1/2 (/ k 2)))))))>
12.146 * * * * [progress]: [ 427 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt k) (pow PI 1/2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
12.147 * * * * [progress]: [ 428 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (* (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
12.147 * * * * [progress]: [ 429 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
12.147 * * * * [progress]: [ 430 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.147 * * * * [progress]: [ 431 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.147 * * * * [progress]: [ 432 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (cbrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.147 * * * * [progress]: [ 433 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (cbrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.147 * * * * [progress]: [ 434 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 1 (- 1/2 (/ k 2))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.147 * * * * [progress]: [ 435 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.147 * * * * [progress]: [ 436 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.147 * * * * [progress]: [ 437 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.147 * * * * [progress]: [ 438 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (cbrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.147 * * * * [progress]: [ 439 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI 1/2))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (cbrt k)) (pow PI (- (/ k 2)))))))>
12.147 * * * * [progress]: [ 440 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI 1/2))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (cbrt k)) (pow PI (- (/ k 2)))))))>
12.148 * * * * [progress]: [ 441 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (cbrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.148 * * * * [progress]: [ 442 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (cbrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.148 * * * * [progress]: [ 443 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow 1 (- 1/2 (/ k 2))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (cbrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.148 * * * * [progress]: [ 444 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (cbrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.148 * * * * [progress]: [ 445 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (cbrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.148 * * * * [progress]: [ 446 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) 1)) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (cbrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.148 * * * * [progress]: [ 447 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (cbrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.148 * * * * [progress]: [ 448 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.148 * * * * [progress]: [ 449 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.148 * * * * [progress]: [ 450 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.148 * * * * [progress]: [ 451 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.148 * * * * [progress]: [ 452 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (pow 1 (- 1/2 (/ k 2))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.149 * * * * [progress]: [ 453 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.149 * * * * [progress]: [ 454 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.149 * * * * [progress]: [ 455 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) 1)) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.149 * * * * [progress]: [ 456 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.149 * * * * [progress]: [ 457 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt 1) (pow PI 1/2))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
12.149 * * * * [progress]: [ 458 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt 1) (pow PI 1/2))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
12.149 * * * * [progress]: [ 459 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt 1) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.149 * * * * [progress]: [ 460 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt 1) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.149 * * * * [progress]: [ 461 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt 1) (pow 1 (- 1/2 (/ k 2))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.149 * * * * [progress]: [ 462 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt 1) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.149 * * * * [progress]: [ 463 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt 1) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.149 * * * * [progress]: [ 464 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt 1) 1)) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.149 * * * * [progress]: [ 465 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt 1) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.150 * * * * [progress]: [ 466 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.150 * * * * [progress]: [ 467 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.150 * * * * [progress]: [ 468 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.150 * * * * [progress]: [ 469 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.150 * * * * [progress]: [ 470 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (pow 1 (- 1/2 (/ k 2))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.150 * * * * [progress]: [ 471 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.150 * * * * [progress]: [ 472 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.150 * * * * [progress]: [ 473 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) 1)) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.150 * * * * [progress]: [ 474 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.150 * * * * [progress]: [ 475 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ 1 (pow PI 1/2))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
12.150 * * * * [progress]: [ 476 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ 1 (pow PI 1/2))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
12.150 * * * * [progress]: [ 477 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ 1 (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.150 * * * * [progress]: [ 478 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ 1 (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.151 * * * * [progress]: [ 479 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ 1 (pow 1 (- 1/2 (/ k 2))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.151 * * * * [progress]: [ 480 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ 1 (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.151 * * * * [progress]: [ 481 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ 1 (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.151 * * * * [progress]: [ 482 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ 1 1)) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.151 * * * * [progress]: [ 483 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ 1 (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.151 * * * * [progress]: [ 484 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) 1) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.151 * * * * [progress]: [ 485 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (sqrt k)) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ 1 (pow PI (- 1/2 (/ k 2)))))))>
12.151 * * * * [progress]: [ 486 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (pow PI 1/2))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (pow PI (/ k 2)))))>
12.151 * * * * [progress]: [ 487 / 655 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.151 * * * * [progress]: [ 488 / 655 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.151 * * * * [progress]: [ 489 / 655 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))>
12.151 * * * * [progress]: [ 490 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.152 * * * * [progress]: [ 491 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.152 * * * * [progress]: [ 492 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))))>
12.152 * * * * [progress]: [ 493 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))))>
12.152 * * * * [progress]: [ 494 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2))))))>
12.152 * * * * [progress]: [ 495 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2))))))>
12.152 * * * * [progress]: [ 496 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 1 (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))>
12.152 * * * * [progress]: [ 497 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))))>
12.152 * * * * [progress]: [ 498 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))))>
12.152 * * * * [progress]: [ 499 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))>
12.152 * * * * [progress]: [ 500 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (cbrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2)))))>
12.152 * * * * [progress]: [ 501 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI 1/2))) (/ (sqrt (cbrt k)) (pow PI (- (/ k 2))))))>
12.152 * * * * [progress]: [ 502 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI 1/2))) (/ (sqrt (cbrt k)) (pow PI (- (/ k 2))))))>
12.152 * * * * [progress]: [ 503 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (sqrt (cbrt k)) (pow (cbrt PI) (- 1/2 (/ k 2))))))>
12.153 * * * * [progress]: [ 504 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (sqrt (cbrt k)) (pow (sqrt PI) (- 1/2 (/ k 2))))))>
12.153 * * * * [progress]: [ 505 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow 1 (- 1/2 (/ k 2))))) (/ (sqrt (cbrt k)) (pow PI (- 1/2 (/ k 2))))))>
12.153 * * * * [progress]: [ 506 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (cbrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))))>
12.153 * * * * [progress]: [ 507 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))))>
12.153 * * * * [progress]: [ 508 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) 1)) (/ (sqrt (cbrt k)) (pow PI (- 1/2 (/ k 2))))))>
12.153 * * * * [progress]: [ 509 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt (cbrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2)))))>
12.153 * * * * [progress]: [ 510 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))))>
12.153 * * * * [progress]: [ 511 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))))>
12.153 * * * * [progress]: [ 512 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2))))))>
12.153 * * * * [progress]: [ 513 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2))))))>
12.153 * * * * [progress]: [ 514 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow 1 (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))>
12.153 * * * * [progress]: [ 515 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))))>
12.153 * * * * [progress]: [ 516 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))))>
12.154 * * * * [progress]: [ 517 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))>
12.154 * * * * [progress]: [ 518 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2)))))>
12.154 * * * * [progress]: [ 519 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt 1) (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2))))))>
12.154 * * * * [progress]: [ 520 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt 1) (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2))))))>
12.154 * * * * [progress]: [ 521 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt 1) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (cbrt PI) (- 1/2 (/ k 2))))))>
12.154 * * * * [progress]: [ 522 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt 1) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (sqrt PI) (- 1/2 (/ k 2))))))>
12.154 * * * * [progress]: [ 523 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt 1) (pow 1 (- 1/2 (/ k 2))))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
12.154 * * * * [progress]: [ 524 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt 1) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))))>
12.154 * * * * [progress]: [ 525 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt 1) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))>
12.154 * * * * [progress]: [ 526 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt 1) 1)) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
12.154 * * * * [progress]: [ 527 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt 1) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt k) (pow PI (/ (- 1/2 (/ k 2)) 2)))))>
12.154 * * * * [progress]: [ 528 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))))>
12.154 * * * * [progress]: [ 529 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))))>
12.154 * * * * [progress]: [ 530 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2))))))>
12.155 * * * * [progress]: [ 531 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2))))))>
12.155 * * * * [progress]: [ 532 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow 1 (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))>
12.155 * * * * [progress]: [ 533 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))))>
12.155 * * * * [progress]: [ 534 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))))>
12.155 * * * * [progress]: [ 535 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))>
12.155 * * * * [progress]: [ 536 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2)))))>
12.155 * * * * [progress]: [ 537 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2))))))>
12.155 * * * * [progress]: [ 538 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2))))))>
12.155 * * * * [progress]: [ 539 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (cbrt PI) (- 1/2 (/ k 2))))))>
12.155 * * * * [progress]: [ 540 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (sqrt PI) (- 1/2 (/ k 2))))))>
12.155 * * * * [progress]: [ 541 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow 1 (- 1/2 (/ k 2))))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
12.155 * * * * [progress]: [ 542 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))))>
12.155 * * * * [progress]: [ 543 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))>
12.155 * * * * [progress]: [ 544 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 1)) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
12.156 * * * * [progress]: [ 545 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt k) (pow PI (/ (- 1/2 (/ k 2)) 2)))))>
12.156 * * * * [progress]: [ 546 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) 1) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
12.156 * * * * [progress]: [ 547 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (/ 1 (pow PI (- 1/2 (/ k 2))))))>
12.156 * * * * [progress]: [ 548 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI 1/2))) (pow PI (/ k 2))))>
12.156 * * * * [progress]: [ 549 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) 1/2) (/ (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (- (/ k 2))))))>
12.156 * * * * [progress]: [ 550 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) 1/2) (/ (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (- (/ k 2))))))>
12.156 * * * * [progress]: [ 551 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2))))))>
12.156 * * * * [progress]: [ 552 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))>
12.156 * * * * [progress]: [ 553 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))>
12.156 * * * * [progress]: [ 554 / 655 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))>
12.156 * * * * [progress]: [ 555 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)))))>
12.156 * * * * [progress]: [ 556 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))))>
12.156 * * * * [progress]: [ 557 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) 1/2) (* (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2)))))>
12.156 * * * * [progress]: [ 558 / 655 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
12.156 * * * * [progress]: [ 559 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (pow (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) 1)))>
12.157 * * * * [progress]: [ 560 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (exp (- (log (sqrt k)) (* (log PI) (- 1/2 (/ k 2)))))))>
12.157 * * * * [progress]: [ 561 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (exp (- (log (sqrt k)) (* (log PI) (- 1/2 (/ k 2)))))))>
12.157 * * * * [progress]: [ 562 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (exp (- (log (sqrt k)) (log (pow PI (- 1/2 (/ k 2))))))))>
12.157 * * * * [progress]: [ 563 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (exp (log (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
12.157 * * * * [progress]: [ 564 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (log (exp (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
12.157 * * * * [progress]: [ 565 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2))))))))>
12.157 * * * * [progress]: [ 566 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (* (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
12.157 * * * * [progress]: [ 567 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (* (* (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
12.157 * * * * [progress]: [ 568 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
12.157 * * * * [progress]: [ 569 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (- (sqrt k)) (- (pow PI (- 1/2 (/ k 2)))))))>
12.157 * * * * [progress]: [ 570 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2)) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.158 * * * * [progress]: [ 571 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2)) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.158 * * * * [progress]: [ 572 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.158 * * * * [progress]: [ 573 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (sqrt PI) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.158 * * * * [progress]: [ 574 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 1 (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.158 * * * * [progress]: [ 575 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.158 * * * * [progress]: [ 576 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.158 * * * * [progress]: [ 577 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.158 * * * * [progress]: [ 578 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1/2 (/ k 2)) 2))) (/ (cbrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.158 * * * * [progress]: [ 579 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI 1/2)) (/ (sqrt (cbrt k)) (pow PI (- (/ k 2)))))))>
12.158 * * * * [progress]: [ 580 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI 1/2)) (/ (sqrt (cbrt k)) (pow PI (- (/ k 2)))))))>
12.158 * * * * [progress]: [ 581 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.158 * * * * [progress]: [ 582 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (* (cbrt k) (cbrt k))) (pow (sqrt PI) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.158 * * * * [progress]: [ 583 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (* (cbrt k) (cbrt k))) (pow 1 (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.159 * * * * [progress]: [ 584 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.159 * * * * [progress]: [ 585 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (cbrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.159 * * * * [progress]: [ 586 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (* (cbrt k) (cbrt k))) 1) (/ (sqrt (cbrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.159 * * * * [progress]: [ 587 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (cbrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.159 * * * * [progress]: [ 588 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (pow PI 1/2)) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.159 * * * * [progress]: [ 589 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (pow PI 1/2)) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.159 * * * * [progress]: [ 590 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.159 * * * * [progress]: [ 591 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.159 * * * * [progress]: [ 592 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (pow 1 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.159 * * * * [progress]: [ 593 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.159 * * * * [progress]: [ 594 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.159 * * * * [progress]: [ 595 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) 1) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.159 * * * * [progress]: [ 596 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.159 * * * * [progress]: [ 597 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt 1) (pow PI 1/2)) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
12.160 * * * * [progress]: [ 598 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt 1) (pow PI 1/2)) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
12.160 * * * * [progress]: [ 599 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt 1) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.160 * * * * [progress]: [ 600 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt 1) (pow (sqrt PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.160 * * * * [progress]: [ 601 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt 1) (pow 1 (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.160 * * * * [progress]: [ 602 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt 1) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.160 * * * * [progress]: [ 603 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt 1) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.160 * * * * [progress]: [ 604 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt 1) 1) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.160 * * * * [progress]: [ 605 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt 1) (pow PI (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt k) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.160 * * * * [progress]: [ 606 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (pow PI 1/2)) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.160 * * * * [progress]: [ 607 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (pow PI 1/2)) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.160 * * * * [progress]: [ 608 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.160 * * * * [progress]: [ 609 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.160 * * * * [progress]: [ 610 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (pow 1 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.161 * * * * [progress]: [ 611 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.161 * * * * [progress]: [ 612 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.161 * * * * [progress]: [ 613 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) 1) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.161 * * * * [progress]: [ 614 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.161 * * * * [progress]: [ 615 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ 1 (pow PI 1/2)) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
12.161 * * * * [progress]: [ 616 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ 1 (pow PI 1/2)) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
12.161 * * * * [progress]: [ 617 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ 1 (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.161 * * * * [progress]: [ 618 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ 1 (pow (sqrt PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.161 * * * * [progress]: [ 619 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ 1 (pow 1 (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.161 * * * * [progress]: [ 620 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ 1 (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.161 * * * * [progress]: [ 621 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ 1 (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.161 * * * * [progress]: [ 622 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ 1 1) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.161 * * * * [progress]: [ 623 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ 1 (pow PI (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt k) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.161 * * * * [progress]: [ 624 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* 1 (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.161 * * * * [progress]: [ 625 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt k) (/ 1 (pow PI (- 1/2 (/ k 2)))))))>
12.162 * * * * [progress]: [ 626 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)))))>
12.162 * * * * [progress]: [ 627 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (/ (sqrt k) (pow PI 1/2)) (pow PI (- (/ k 2))))))>
12.162 * * * * [progress]: [ 628 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (/ (sqrt k) (pow PI 1/2)) (pow PI (- (/ k 2))))))>
12.162 * * * * [progress]: [ 629 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (/ (sqrt k) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))) (pow (cbrt PI) (- 1/2 (/ k 2))))))>
12.162 * * * * [progress]: [ 630 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (/ (sqrt k) (pow (sqrt PI) (- 1/2 (/ k 2)))) (pow (sqrt PI) (- 1/2 (/ k 2))))))>
12.162 * * * * [progress]: [ 631 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (/ (sqrt k) (pow 1 (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2))))))>
12.162 * * * * [progress]: [ 632 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (/ (sqrt k) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (cbrt (pow PI (- 1/2 (/ k 2)))))))>
12.162 * * * * [progress]: [ 633 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (pow PI (- 1/2 (/ k 2)))))))>
12.162 * * * * [progress]: [ 634 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (/ (sqrt k) 1) (pow PI (- 1/2 (/ k 2))))))>
12.162 * * * * [progress]: [ 635 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (/ (sqrt k) (pow PI (/ (- 1/2 (/ k 2)) 2))) (pow PI (/ (- 1/2 (/ k 2)) 2)))))>
12.162 * * * * [progress]: [ 636 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))))))>
12.162 * * * * [progress]: [ 637 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (cbrt k))))))>
12.162 * * * * [progress]: [ 638 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))))))>
12.162 * * * * [progress]: [ 639 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt 1) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)))))>
12.162 * * * * [progress]: [ 640 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))))))>
12.163 * * * * [progress]: [ 641 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)))))>
12.163 * * * * [progress]: [ 642 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt k) (pow PI 1/2)) (pow PI (/ k 2)))))>
12.163 * * * * [progress]: [ 643 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (posit16->real (real->posit16 (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
12.163 * * * * [progress]: [ 644 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (- (+ (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k))))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
12.163 * * * * [progress]: [ 645 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
12.163 * * * * [progress]: [ 646 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
12.163 * * * * [progress]: [ 647 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (- (+ (pow PI 1/2) (* 1/8 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI)))) (* 1/2 (* (* (log PI) k) (sqrt PI)))))))>
12.163 * * * * [progress]: [ 648 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (* 1/2 k))))))>
12.163 * * * * [progress]: [ 649 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (* 1/2 k))))))>
12.163 * * * * [progress]: [ 650 / 655 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) k) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) k)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (* (log n) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log PI) 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2)))) (sqrt PI))) (- (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k)) (sqrt PI)))))))))))))))))))))))))))))))))>
12.163 * * * * [progress]: [ 651 / 655 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))) (pow k 3)))))))))>
12.163 * * * * [progress]: [ 652 / 655 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2)))))))))>
12.164 * * * * [progress]: [ 653 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (- (+ (* +nan.0 (* (sqrt (/ 1 PI)) (pow k 3))) (- (+ (* +nan.0 (* (* (log PI) (pow k 3)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (* (pow (log PI) 2) (pow k 3)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (sqrt (/ 1 PI)) k)) (- (+ (* +nan.0 (* (* (log PI) (pow k 2)) (sqrt (/ 1 PI)))) (- (* +nan.0 (* (sqrt (/ 1 PI)) (pow k 2))))))))))))))))>
12.164 * * * * [progress]: [ 654 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (- (+ (* +nan.0 (/ 1 (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) k))) (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) (pow k 2)))))))))))>
12.164 * * * * [progress]: [ 655 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (- (+ (* +nan.0 (/ 1 (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) k))) (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) (pow k 2)))))))))))>
12.182 * [simplify]: Simplifying:
  (* (+ (log n) (log 2)) (- 1/2 (/ k 2)))
  (* (log (* n 2)) (- 1/2 (/ k 2)))
  (* (log (* n 2)) (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (pow (* n 2) 1/2)
  (pow (* n 2) (/ k 2))
  (pow (* n 2) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow (* n 2) (sqrt (- 1/2 (/ k 2))))
  (pow (* n 2) 1)
  (pow (* n 2) (+ (sqrt 1/2) (sqrt (/ k 2))))
  (pow (* n 2) (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))))
  (pow (* n 2) 1)
  (pow (* n 2) 1/2)
  (pow (* n 2) (- (/ k 2)))
  (pow (* n 2) 1/2)
  (pow (* n 2) (- (/ k 2)))
  (pow n (- 1/2 (/ k 2)))
  (pow 2 (- 1/2 (/ k 2)))
  (log (pow (* n 2) (- 1/2 (/ k 2))))
  (exp (pow (* n 2) (- 1/2 (/ k 2))))
  (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))
  (cbrt (pow (* n 2) (- 1/2 (/ k 2))))
  (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))
  (sqrt (pow (* n 2) (- 1/2 (/ k 2))))
  (sqrt (pow (* n 2) (- 1/2 (/ k 2))))
  (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))
  (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))
  (real->posit16 (pow (* n 2) (- 1/2 (/ k 2))))
  (* (log PI) (- 1/2 (/ k 2)))
  (* (log PI) (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (pow PI 1/2)
  (pow PI (/ k 2))
  (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow PI (sqrt (- 1/2 (/ k 2))))
  (pow PI 1)
  (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))
  (pow PI (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))))
  (pow PI 1)
  (pow PI 1/2)
  (pow PI (- (/ k 2)))
  (pow PI 1/2)
  (pow PI (- (/ k 2)))
  (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))
  (pow (cbrt PI) (- 1/2 (/ k 2)))
  (pow (sqrt PI) (- 1/2 (/ k 2)))
  (pow (sqrt PI) (- 1/2 (/ k 2)))
  (pow 1 (- 1/2 (/ k 2)))
  (pow PI (- 1/2 (/ k 2)))
  (log (pow PI (- 1/2 (/ k 2))))
  (exp (pow PI (- 1/2 (/ k 2))))
  (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))
  (cbrt (pow PI (- 1/2 (/ k 2))))
  (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2))))
  (sqrt (pow PI (- 1/2 (/ k 2))))
  (sqrt (pow PI (- 1/2 (/ k 2))))
  (pow PI (/ (- 1/2 (/ k 2)) 2))
  (pow PI (/ (- 1/2 (/ k 2)) 2))
  (real->posit16 (pow PI (- 1/2 (/ k 2))))
  (- (* (+ (log n) (log 2)) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (log PI) (- 1/2 (/ k 2)))))
  (- (* (+ (log n) (log 2)) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (log PI) (- 1/2 (/ k 2)))))
  (- (* (+ (log n) (log 2)) (- 1/2 (/ k 2))) (- (log (sqrt k)) (log (pow PI (- 1/2 (/ k 2))))))
  (- (* (+ (log n) (log 2)) (- 1/2 (/ k 2))) (log (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))
  (- (* (log (* n 2)) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (log PI) (- 1/2 (/ k 2)))))
  (- (* (log (* n 2)) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (log PI) (- 1/2 (/ k 2)))))
  (- (* (log (* n 2)) (- 1/2 (/ k 2))) (- (log (sqrt k)) (log (pow PI (- 1/2 (/ k 2))))))
  (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))
  (- (* (log (* n 2)) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (log PI) (- 1/2 (/ k 2)))))
  (- (* (log (* n 2)) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (log PI) (- 1/2 (/ k 2)))))
  (- (* (log (* n 2)) (- 1/2 (/ k 2))) (- (log (sqrt k)) (log (pow PI (- 1/2 (/ k 2))))))
  (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))
  (- (log (pow (* n 2) (- 1/2 (/ k 2)))) (- (log (sqrt k)) (* (log PI) (- 1/2 (/ k 2)))))
  (- (log (pow (* n 2) (- 1/2 (/ k 2)))) (- (log (sqrt k)) (* (log PI) (- 1/2 (/ k 2)))))
  (- (log (pow (* n 2) (- 1/2 (/ k 2)))) (- (log (sqrt k)) (log (pow PI (- 1/2 (/ k 2))))))
  (- (log (pow (* n 2) (- 1/2 (/ k 2)))) (log (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))
  (log (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))
  (exp (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))
  (/ (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2))))))
  (/ (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) (* (* (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))
  (* (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))
  (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))
  (* (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))
  (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))
  (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))
  (- (pow (* n 2) (- 1/2 (/ k 2))))
  (- (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))
  (/ (pow (* n 2) 1/2) (* (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))
  (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))
  (/ (pow (* n 2) 1/2) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))
  (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))
  (/ (pow (* n 2) 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2)))
  (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2)))))
  (/ (pow (* n 2) 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2)))
  (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2)))))
  (/ (pow (* n 2) 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))))
  (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))
  (/ (pow (* n 2) 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (sqrt PI) (- 1/2 (/ k 2)))))
  (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))
  (/ (pow (* n 2) 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 1 (- 1/2 (/ k 2)))))
  (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))
  (/ (pow (* n 2) 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))))
  (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))
  (/ (pow (* n 2) 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2))))))
  (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))
  (/ (pow (* n 2) 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1))
  (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))
  (/ (pow (* n 2) 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1/2 (/ k 2)) 2))))
  (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))
  (/ (pow (* n 2) 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI 1/2)))
  (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (cbrt k)) (pow PI (- (/ k 2)))))
  (/ (pow (* n 2) 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI 1/2)))
  (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (cbrt k)) (pow PI (- (/ k 2)))))
  (/ (pow (* n 2) 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))))
  (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (cbrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))
  (/ (pow (* n 2) 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (sqrt PI) (- 1/2 (/ k 2)))))
  (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (cbrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))
  (/ (pow (* n 2) 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) (pow 1 (- 1/2 (/ k 2)))))
  (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (cbrt k)) (pow PI (- 1/2 (/ k 2)))))
  (/ (pow (* n 2) 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))))
  (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (cbrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))
  (/ (pow (* n 2) 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI (- 1/2 (/ k 2))))))
  (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (cbrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))
  (/ (pow (* n 2) 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) 1))
  (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (cbrt k)) (pow PI (- 1/2 (/ k 2)))))
  (/ (pow (* n 2) 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI (/ (- 1/2 (/ k 2)) 2))))
  (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (cbrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))
  (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow PI 1/2)))
  (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))
  (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow PI 1/2)))
  (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))
  (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))))
  (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))
  (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))
  (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))
  (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow 1 (- 1/2 (/ k 2)))))
  (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))
  (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))))
  (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))
  (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))
  (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))
  (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) 1))
  (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))
  (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))
  (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))
  (/ (pow (* n 2) 1/2) (/ (sqrt 1) (pow PI 1/2)))
  (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2)))))
  (/ (pow (* n 2) 1/2) (/ (sqrt 1) (pow PI 1/2)))
  (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2)))))
  (/ (pow (* n 2) 1/2) (/ (sqrt 1) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))))
  (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow (cbrt PI) (- 1/2 (/ k 2)))))
  (/ (pow (* n 2) 1/2) (/ (sqrt 1) (pow (sqrt PI) (- 1/2 (/ k 2)))))
  (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow (sqrt PI) (- 1/2 (/ k 2)))))
  (/ (pow (* n 2) 1/2) (/ (sqrt 1) (pow 1 (- 1/2 (/ k 2)))))
  (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))
  (/ (pow (* n 2) 1/2) (/ (sqrt 1) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))))
  (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2))))))
  (/ (pow (* n 2) 1/2) (/ (sqrt 1) (sqrt (pow PI (- 1/2 (/ k 2))))))
  (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))
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  (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))
  (/ (pow (* n 2) 1/2) (/ (sqrt 1) (pow PI (/ (- 1/2 (/ k 2)) 2))))
  (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (/ (- 1/2 (/ k 2)) 2))))
  (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow PI 1/2)))
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  (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow PI 1/2)))
  (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))
  (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))))
  (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))
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  (exp (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))
  (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2)))))
  (* (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))
  (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))
  (* (* (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))
  (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))
  (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))
  (- (sqrt k))
  (- (pow PI (- 1/2 (/ k 2))))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2))
  (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2))
  (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))
  (/ (cbrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2))))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (sqrt PI) (- 1/2 (/ k 2))))
  (/ (cbrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2))))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 1 (- 1/2 (/ k 2))))
  (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))
  (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))
  (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)
  (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1/2 (/ k 2)) 2)))
  (/ (cbrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2)))
  (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI 1/2))
  (/ (sqrt (cbrt k)) (pow PI (- (/ k 2))))
  (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI 1/2))
  (/ (sqrt (cbrt k)) (pow PI (- (/ k 2))))
  (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))
  (/ (sqrt (cbrt k)) (pow (cbrt PI) (- 1/2 (/ k 2))))
  (/ (sqrt (* (cbrt k) (cbrt k))) (pow (sqrt PI) (- 1/2 (/ k 2))))
  (/ (sqrt (cbrt k)) (pow (sqrt PI) (- 1/2 (/ k 2))))
  (/ (sqrt (* (cbrt k) (cbrt k))) (pow 1 (- 1/2 (/ k 2))))
  (/ (sqrt (cbrt k)) (pow PI (- 1/2 (/ k 2))))
  (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))
  (/ (sqrt (cbrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))
  (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))
  (/ (sqrt (cbrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))
  (/ (sqrt (* (cbrt k) (cbrt k))) 1)
  (/ (sqrt (cbrt k)) (pow PI (- 1/2 (/ k 2))))
  (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI (/ (- 1/2 (/ k 2)) 2)))
  (/ (sqrt (cbrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2)))
  (/ (sqrt (sqrt k)) (pow PI 1/2))
  (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))
  (/ (sqrt (sqrt k)) (pow PI 1/2))
  (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))
  (/ (sqrt (sqrt k)) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))
  (/ (sqrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2))))
  (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2))))
  (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2))))
  (/ (sqrt (sqrt k)) (pow 1 (- 1/2 (/ k 2))))
  (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))
  (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))
  (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))
  (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))
  (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))
  (/ (sqrt (sqrt k)) 1)
  (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))
  (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2)))
  (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2)))
  (/ (sqrt 1) (pow PI 1/2))
  (/ (sqrt k) (pow PI (- (/ k 2))))
  (/ (sqrt 1) (pow PI 1/2))
  (/ (sqrt k) (pow PI (- (/ k 2))))
  (/ (sqrt 1) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))
  (/ (sqrt k) (pow (cbrt PI) (- 1/2 (/ k 2))))
  (/ (sqrt 1) (pow (sqrt PI) (- 1/2 (/ k 2))))
  (/ (sqrt k) (pow (sqrt PI) (- 1/2 (/ k 2))))
  (/ (sqrt 1) (pow 1 (- 1/2 (/ k 2))))
  (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))
  (/ (sqrt 1) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))
  (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))
  (/ (sqrt 1) (sqrt (pow PI (- 1/2 (/ k 2)))))
  (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))
  (/ (sqrt 1) 1)
  (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))
  (/ (sqrt 1) (pow PI (/ (- 1/2 (/ k 2)) 2)))
  (/ (sqrt k) (pow PI (/ (- 1/2 (/ k 2)) 2)))
  (/ (sqrt (sqrt k)) (pow PI 1/2))
  (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))
  (/ (sqrt (sqrt k)) (pow PI 1/2))
  (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))
  (/ (sqrt (sqrt k)) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))
  (/ (sqrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2))))
  (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2))))
  (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2))))
  (/ (sqrt (sqrt k)) (pow 1 (- 1/2 (/ k 2))))
  (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))
  (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))
  (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))
  (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))
  (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))
  (/ (sqrt (sqrt k)) 1)
  (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))
  (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2)))
  (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2)))
  (/ 1 (pow PI 1/2))
  (/ (sqrt k) (pow PI (- (/ k 2))))
  (/ 1 (pow PI 1/2))
  (/ (sqrt k) (pow PI (- (/ k 2))))
  (/ 1 (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))
  (/ (sqrt k) (pow (cbrt PI) (- 1/2 (/ k 2))))
  (/ 1 (pow (sqrt PI) (- 1/2 (/ k 2))))
  (/ (sqrt k) (pow (sqrt PI) (- 1/2 (/ k 2))))
  (/ 1 (pow 1 (- 1/2 (/ k 2))))
  (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))
  (/ 1 (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))
  (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))
  (/ 1 (sqrt (pow PI (- 1/2 (/ k 2)))))
  (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))
  (/ 1 1)
  (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))
  (/ 1 (pow PI (/ (- 1/2 (/ k 2)) 2)))
  (/ (sqrt k) (pow PI (/ (- 1/2 (/ k 2)) 2)))
  (/ 1 (pow PI (- 1/2 (/ k 2))))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))
  (/ (sqrt k) (pow PI 1/2))
  (/ (sqrt k) (pow PI 1/2))
  (/ (sqrt k) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))
  (/ (sqrt k) (pow (sqrt PI) (- 1/2 (/ k 2))))
  (/ (sqrt k) (pow 1 (- 1/2 (/ k 2))))
  (/ (sqrt k) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))
  (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))
  (/ (sqrt k) 1)
  (/ (sqrt k) (pow PI (/ (- 1/2 (/ k 2)) 2)))
  (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt (cbrt k)))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))
  (/ (sqrt k) (pow PI 1/2))
  (real->posit16 (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))
  (- (+ (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k)))))
  (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))
  (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n)))))
  (- (+ (pow PI 1/2) (* 1/8 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI)))) (* 1/2 (* (* (log PI) k) (sqrt PI))))
  (pow PI (- 1/2 (* 1/2 k)))
  (pow PI (- 1/2 (* 1/2 k)))
  (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) k) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) k)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (* (log n) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log PI) 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2)))) (sqrt PI))) (- (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k)) (sqrt PI))))))))))))))))))))))))))))))))
  (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))) (pow k 3))))))))
  (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))))))))
  (- (+ (* +nan.0 (* (sqrt (/ 1 PI)) (pow k 3))) (- (+ (* +nan.0 (* (* (log PI) (pow k 3)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (* (pow (log PI) 2) (pow k 3)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (sqrt (/ 1 PI)) k)) (- (+ (* +nan.0 (* (* (log PI) (pow k 2)) (sqrt (/ 1 PI)))) (- (* +nan.0 (* (sqrt (/ 1 PI)) (pow k 2))))))))))))))
  (- (+ (* +nan.0 (/ 1 (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) k))) (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) (pow k 2)))))))))
  (- (+ (* +nan.0 (/ 1 (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) k))) (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) (pow k 2)))))))))
12.223 * * [simplify]: iteration 0: 885 enodes
12.705 * * [simplify]: iteration 1: 2492 enodes
13.549 * * [simplify]: iteration complete: 5000 enodes
13.550 * * [simplify]: Extracting #0: cost 538 inf + 0
13.554 * * [simplify]: Extracting #1: cost 1367 inf + 2
13.561 * * [simplify]: Extracting #2: cost 1630 inf + 3712
13.570 * * [simplify]: Extracting #3: cost 1687 inf + 39690
13.606 * * [simplify]: Extracting #4: cost 1175 inf + 322341
13.705 * * [simplify]: Extracting #5: cost 415 inf + 811735
13.808 * * [simplify]: Extracting #6: cost 185 inf + 960514
13.999 * * [simplify]: Extracting #7: cost 128 inf + 1016408
14.140 * * [simplify]: Extracting #8: cost 123 inf + 1045167
14.328 * * [simplify]: Extracting #9: cost 133 inf + 1054547
14.534 * * [simplify]: Extracting #10: cost 86 inf + 1084787
14.774 * * [simplify]: Extracting #11: cost 19 inf + 1159779
15.049 * * [simplify]: Extracting #12: cost 1 inf + 1197526
15.247 * * [simplify]: Extracting #13: cost 0 inf + 1200002
15.551 * [simplify]: Simplified to:
  (* (- 1/2 (/ k 2)) (log (* n 2)))
  (* (- 1/2 (/ k 2)) (log (* n 2)))
  (* (- 1/2 (/ k 2)) (log (* n 2)))
  (- 1/2 (/ k 2))
  (- 1/2 (/ k 2))
  (sqrt (* n 2))
  (pow (* n 2) (/ k 2))
  (pow (* n 2) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow (* n 2) (sqrt (- 1/2 (/ k 2))))
  (* n 2)
  (pow (* n 2) (+ (sqrt (/ k 2)) (sqrt 1/2)))
  (pow (* n 2) (+ (/ (sqrt k) (sqrt 2)) (sqrt 1/2)))
  (* n 2)
  (sqrt (* n 2))
  (pow (* n 2) (/ (- k) 2))
  (sqrt (* n 2))
  (pow (* n 2) (/ (- k) 2))
  (pow n (- 1/2 (/ k 2)))
  (pow 2 (- 1/2 (/ k 2)))
  (* (- 1/2 (/ k 2)) (log (* n 2)))
  (exp (pow (* n 2) (- 1/2 (/ k 2))))
  (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))
  (cbrt (pow (* n 2) (- 1/2 (/ k 2))))
  (pow (pow (* n 2) (- 1/2 (/ k 2))) 3)
  (sqrt (pow (* n 2) (- 1/2 (/ k 2))))
  (sqrt (pow (* n 2) (- 1/2 (/ k 2))))
  (pow (* n 2) (- 1/4 (/ (/ k 2) 2)))
  (pow (* n 2) (- 1/4 (/ (/ k 2) 2)))
  (real->posit16 (pow (* n 2) (- 1/2 (/ k 2))))
  (* (log PI) (- 1/2 (/ k 2)))
  (* (log PI) (- 1/2 (/ k 2)))
  (- 1/2 (/ k 2))
  (sqrt PI)
  (pow PI (/ k 2))
  (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow PI (sqrt (- 1/2 (/ k 2))))
  PI
  (pow PI (+ (sqrt (/ k 2)) (sqrt 1/2)))
  (pow PI (+ (/ (sqrt k) (sqrt 2)) (sqrt 1/2)))
  PI
  (sqrt PI)
  (pow PI (/ (- k) 2))
  (sqrt PI)
  (pow PI (/ (- k) 2))
  (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))
  (pow (cbrt PI) (- 1/2 (/ k 2)))
  (pow (sqrt PI) (- 1/2 (/ k 2)))
  (pow (sqrt PI) (- 1/2 (/ k 2)))
  1
  (pow PI (- 1/2 (/ k 2)))
  (* (- 1/2 (/ k 2)) (log PI))
  (exp (pow PI (- 1/2 (/ k 2))))
  (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))
  (cbrt (pow PI (- 1/2 (/ k 2))))
  (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2))))
  (sqrt (pow PI (- 1/2 (/ k 2))))
  (sqrt (pow PI (- 1/2 (/ k 2))))
  (pow PI (- 1/4 (/ (/ k 2) 2)))
  (pow PI (- 1/4 (/ (/ k 2) 2)))
  (real->posit16 (pow PI (- 1/2 (/ k 2))))
  (+ (- (* (- 1/2 (/ k 2)) (log (* n 2))) (log (sqrt k))) (* (log PI) (- 1/2 (/ k 2))))
  (+ (- (* (- 1/2 (/ k 2)) (log (* n 2))) (log (sqrt k))) (* (log PI) (- 1/2 (/ k 2))))
  (- (* (- 1/2 (/ k 2)) (log (* n 2))) (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log PI))))
  (- (* (- 1/2 (/ k 2)) (log (* n 2))) (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log PI))))
  (+ (- (* (- 1/2 (/ k 2)) (log (* n 2))) (log (sqrt k))) (* (log PI) (- 1/2 (/ k 2))))
  (+ (- (* (- 1/2 (/ k 2)) (log (* n 2))) (log (sqrt k))) (* (log PI) (- 1/2 (/ k 2))))
  (- (* (- 1/2 (/ k 2)) (log (* n 2))) (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log PI))))
  (- (* (- 1/2 (/ k 2)) (log (* n 2))) (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log PI))))
  (+ (- (* (- 1/2 (/ k 2)) (log (* n 2))) (log (sqrt k))) (* (log PI) (- 1/2 (/ k 2))))
  (+ (- (* (- 1/2 (/ k 2)) (log (* n 2))) (log (sqrt k))) (* (log PI) (- 1/2 (/ k 2))))
  (- (* (- 1/2 (/ k 2)) (log (* n 2))) (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log PI))))
  (- (* (- 1/2 (/ k 2)) (log (* n 2))) (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log PI))))
  (+ (- (* (- 1/2 (/ k 2)) (log (* n 2))) (log (sqrt k))) (* (log PI) (- 1/2 (/ k 2))))
  (+ (- (* (- 1/2 (/ k 2)) (log (* n 2))) (log (sqrt k))) (* (log PI) (- 1/2 (/ k 2))))
  (+ (- (* (- 1/2 (/ k 2)) (log (* n 2))) (log (sqrt k))) (* (- 1/2 (/ k 2)) (log PI)))
  (+ (- (* (- 1/2 (/ k 2)) (log (* n 2))) (log (sqrt k))) (* (- 1/2 (/ k 2)) (log PI)))
  (+ (- (* (- 1/2 (/ k 2)) (log (* n 2))) (log (sqrt k))) (* (- 1/2 (/ k 2)) (log PI)))
  (exp (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))))
  (* (* (/ (pow (pow (* n 2) (- 1/2 (/ k 2))) 3) (* (sqrt k) k)) (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2))))) (pow PI (- 1/2 (/ k 2))))
  (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))
  (* (cbrt (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2))))) (cbrt (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2))))))
  (cbrt (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))))
  (* (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))) (* (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2))))))
  (sqrt (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))))
  (sqrt (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))))
  (- (pow (* n 2) (- 1/2 (/ k 2))))
  (/ (- (sqrt k)) (pow PI (- 1/2 (/ k 2))))
  (/ (/ (sqrt (* n 2)) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))
  (/ (pow (* n 2) (/ (- k) 2)) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))
  (/ (sqrt (* n 2)) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))
  (/ (pow (* n 2) (/ (- k) 2)) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))
  (/ (sqrt (* n 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt PI)))
  (* (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))) (pow PI (/ (- k) 2)))
  (/ (sqrt (* n 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt PI)))
  (* (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))) (pow PI (/ (- k) 2)))
  (/ (sqrt (* n 2)) (/ (cbrt (sqrt k)) (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))
  (* (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))) (pow (cbrt PI) (- 1/2 (/ k 2))))
  (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow (sqrt PI) (- 1/2 (/ k 2))))
  (* (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))) (pow (sqrt PI) (- 1/2 (/ k 2))))
  (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (* (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2))))
  (/ (sqrt (* n 2)) (* (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))))
  (/ (pow (* n 2) (/ (- k) 2)) (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))
  (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow PI (- 1/2 (/ k 2)))))
  (/ (pow (* n 2) (/ (- k) 2)) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))
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  (* (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))
  (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))
  (* (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))
  (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))
  (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))
  (- (sqrt k))
  (- (pow PI (- 1/2 (/ k 2))))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt PI))
  (/ (cbrt (sqrt k)) (pow PI (/ (- k) 2)))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt PI))
  (/ (cbrt (sqrt k)) (pow PI (/ (- k) 2)))
  (/ (cbrt (sqrt k)) (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (cbrt (sqrt k))))
  (/ (cbrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2))))
  (/ (cbrt (sqrt k)) (/ (pow (sqrt PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))))
  (/ (cbrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2))))
  (* (cbrt (sqrt k)) (cbrt (sqrt k)))
  (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))
  (* (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))
  (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))
  (/ (cbrt (sqrt k)) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))))
  (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))
  (* (cbrt (sqrt k)) (cbrt (sqrt k)))
  (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- 1/4 (/ (/ k 2) 2))))
  (/ (cbrt (sqrt k)) (pow PI (- 1/4 (/ (/ k 2) 2))))
  (/ (fabs (cbrt k)) (sqrt PI))
  (/ (sqrt (cbrt k)) (pow PI (/ (- k) 2)))
  (/ (fabs (cbrt k)) (sqrt PI))
  (/ (sqrt (cbrt k)) (pow PI (/ (- k) 2)))
  (/ (fabs (cbrt k)) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))
  (/ (sqrt (cbrt k)) (pow (cbrt PI) (- 1/2 (/ k 2))))
  (/ (fabs (cbrt k)) (pow (sqrt PI) (- 1/2 (/ k 2))))
  (/ (sqrt (cbrt k)) (pow (sqrt PI) (- 1/2 (/ k 2))))
  (fabs (cbrt k))
  (/ (sqrt (cbrt k)) (pow PI (- 1/2 (/ k 2))))
  (/ (/ (fabs (cbrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))) (cbrt (pow PI (- 1/2 (/ k 2)))))
  (/ (sqrt (cbrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))
  (/ (fabs (cbrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))
  (/ (sqrt (cbrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))
  (fabs (cbrt k))
  (/ (sqrt (cbrt k)) (pow PI (- 1/2 (/ k 2))))
  (/ (fabs (cbrt k)) (pow PI (- 1/4 (/ (/ k 2) 2))))
  (/ (sqrt (cbrt k)) (pow PI (- 1/4 (/ (/ k 2) 2))))
  (/ (sqrt (sqrt k)) (sqrt PI))
  (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2)))
  (/ (sqrt (sqrt k)) (sqrt PI))
  (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2)))
  (/ (sqrt (sqrt k)) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))
  (/ (sqrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2))))
  (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2))))
  (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2))))
  (sqrt (sqrt k))
  (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))
  (/ (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))) (cbrt (pow PI (- 1/2 (/ k 2)))))
  (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))
  (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))
  (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))
  (sqrt (sqrt k))
  (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))
  (/ (sqrt (sqrt k)) (pow PI (- 1/4 (/ (/ k 2) 2))))
  (/ (sqrt (sqrt k)) (pow PI (- 1/4 (/ (/ k 2) 2))))
  (/ 1 (sqrt PI))
  (/ (sqrt k) (pow PI (/ (- k) 2)))
  (/ 1 (sqrt PI))
  (/ (sqrt k) (pow PI (/ (- k) 2)))
  (/ 1 (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))
  (/ (sqrt k) (pow (cbrt PI) (- 1/2 (/ k 2))))
  (/ 1 (pow (sqrt PI) (- 1/2 (/ k 2))))
  (/ (sqrt k) (pow (sqrt PI) (- 1/2 (/ k 2))))
  1
  (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))
  (* (/ 1 (cbrt (pow PI (- 1/2 (/ k 2))))) (/ 1 (cbrt (pow PI (- 1/2 (/ k 2))))))
  (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))
  (/ 1 (sqrt (pow PI (- 1/2 (/ k 2)))))
  (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))
  1
  (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))
  (/ 1 (pow PI (- 1/4 (/ (/ k 2) 2))))
  (/ (sqrt k) (pow PI (- 1/4 (/ (/ k 2) 2))))
  (/ (sqrt (sqrt k)) (sqrt PI))
  (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2)))
  (/ (sqrt (sqrt k)) (sqrt PI))
  (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2)))
  (/ (sqrt (sqrt k)) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))
  (/ (sqrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2))))
  (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2))))
  (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2))))
  (sqrt (sqrt k))
  (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))
  (/ (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))) (cbrt (pow PI (- 1/2 (/ k 2)))))
  (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))
  (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))
  (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))
  (sqrt (sqrt k))
  (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))
  (/ (sqrt (sqrt k)) (pow PI (- 1/4 (/ (/ k 2) 2))))
  (/ (sqrt (sqrt k)) (pow PI (- 1/4 (/ (/ k 2) 2))))
  (/ 1 (sqrt PI))
  (/ (sqrt k) (pow PI (/ (- k) 2)))
  (/ 1 (sqrt PI))
  (/ (sqrt k) (pow PI (/ (- k) 2)))
  (/ 1 (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))
  (/ (sqrt k) (pow (cbrt PI) (- 1/2 (/ k 2))))
  (/ 1 (pow (sqrt PI) (- 1/2 (/ k 2))))
  (/ (sqrt k) (pow (sqrt PI) (- 1/2 (/ k 2))))
  1
  (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))
  (* (/ 1 (cbrt (pow PI (- 1/2 (/ k 2))))) (/ 1 (cbrt (pow PI (- 1/2 (/ k 2))))))
  (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))
  (/ 1 (sqrt (pow PI (- 1/2 (/ k 2)))))
  (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))
  1
  (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))
  (/ 1 (pow PI (- 1/4 (/ (/ k 2) 2))))
  (/ (sqrt k) (pow PI (- 1/4 (/ (/ k 2) 2))))
  (/ 1 (pow PI (- 1/2 (/ k 2))))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))
  (/ (sqrt k) (sqrt PI))
  (/ (sqrt k) (sqrt PI))
  (/ (sqrt k) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))
  (/ (sqrt k) (pow (sqrt PI) (- 1/2 (/ k 2))))
  (sqrt k)
  (/ (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2))))) (cbrt (pow PI (- 1/2 (/ k 2)))))
  (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))
  (sqrt k)
  (/ (sqrt k) (pow PI (- 1/4 (/ (/ k 2) 2))))
  (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt (cbrt k)))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))
  (/ (sqrt k) (sqrt PI))
  (real->posit16 (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))
  (+ (+ (+ (* (* 1/8 (* (log 2) (log 2))) (* (exp (* 1/2 (log (* n 2)))) (* k k))) (* (* (* (exp (* 1/2 (log (* n 2)))) (* k k)) (* (log n) (log n))) 1/8)) (* (* (* 1/4 (log 2)) (* (exp (* 1/2 (log (* n 2)))) (log n))) (* k k))) (- (exp (* 1/2 (log (* n 2)))) (* 1/2 (* k (+ (* (exp (* 1/2 (log (* n 2)))) (log n)) (* (log 2) (exp (* 1/2 (log (* n 2))))))))))
  (exp (* (- 1/2 (* 1/2 k)) (log (* n 2))))
  (exp (* (- (log -2) (log (/ -1 n))) (- 1/2 (* 1/2 k))))
  (+ (sqrt PI) (* (sqrt PI) (- (* (* 1/8 (* (log PI) (log PI))) (* k k)) (* 1/2 (* (log PI) k)))))
  (pow PI (- 1/2 (* 1/2 k)))
  (pow PI (- 1/2 (* 1/2 k)))
  (- (+ (- (* +nan.0 (* (sqrt PI) (* (* (exp (* 1/2 (log (* n 2)))) (* k k)) (* (log n) (log n))))) (* (* +nan.0 (exp (* 1/2 (log (* n 2))))) (sqrt PI))) (+ (- (* +nan.0 (* (* (sqrt PI) (* (exp (* 1/2 (log (* n 2)))) (* k k))) (* (log 2) (log 2)))) (* (* (exp (* 1/2 (log (* n 2)))) (* k (sqrt PI))) +nan.0)) (+ (- (* (* +nan.0 (* (* (* (exp (* 1/2 (log (* n 2)))) (* k k)) (log 2)) (log PI))) (sqrt PI)) (* (* +nan.0 (exp (* 1/2 (log (* n 2))))) (* (* (sqrt PI) (log PI)) k))) (- (* (* +nan.0 (* (* (exp (* 1/2 (log (* n 2)))) (* k k)) (log PI))) (sqrt PI)) (+ (- (* +nan.0 (* (* (* (exp (* 1/2 (log (* n 2)))) (* k k)) (log 2)) (sqrt PI))) (* +nan.0 (* (* (* (log 2) k) (exp (* 1/2 (log (* n 2))))) (sqrt PI)))) (+ (- (* +nan.0 (* (* (* (* (exp (* 1/2 (log (* n 2)))) (log n)) (* k k)) (log PI)) (sqrt PI))) (* +nan.0 (* (sqrt PI) (* (exp (* 1/2 (log (* n 2)))) (* k k))))) (+ (- (* (* +nan.0 (sqrt PI)) (* (exp (* 1/2 (log (* n 2)))) (* (* (log PI) (log PI)) (* k k)))) (* +nan.0 (* (* (* (exp (* 1/2 (log (* n 2)))) (log n)) (* k k)) (sqrt PI)))) (- (* (* +nan.0 (sqrt PI)) (* (log 2) (* (* (exp (* 1/2 (log (* n 2)))) (log n)) (* k k)))) (* (* +nan.0 (* (* (exp (* 1/2 (log (* n 2)))) (log n)) k)) (sqrt PI)))))))))))
  (+ (* (- +nan.0) (/ (* (exp (* (- 1/2 (* 1/2 k)) (log (* n 2)))) (pow PI (- 1/2 (* 1/2 k)))) (* k k))) (* +nan.0 (- (/ (* (exp (* (- 1/2 (* 1/2 k)) (log (* n 2)))) (pow PI (- 1/2 (* 1/2 k)))) k) (/ (* (exp (* (- 1/2 (* 1/2 k)) (log (* n 2)))) (pow PI (- 1/2 (* 1/2 k)))) (* (* k k) k)))))
  (+ (* +nan.0 (- (* (exp (* (- (log -2) (log (/ -1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))))) (* +nan.0 (- (/ (exp (* (- (log -2) (log (/ -1 n))) (- 1/2 (* 1/2 k)))) (/ k (pow PI (- 1/2 (* 1/2 k))))) (/ (* (exp (* (- (log -2) (log (/ -1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (* k k)))))
  (- (- (* (* (* (* k k) k) (sqrt (/ 1 PI))) +nan.0) (- (* (* (* +nan.0 (* (* k k) k)) (log PI)) (sqrt (/ 1 PI))) (+ (- (* (* +nan.0 (* (log PI) (log PI))) (* (* (* k k) k) (sqrt (/ 1 PI)))) (* (* (sqrt (/ 1 PI)) k) +nan.0)) (* +nan.0 (- (* (* (log PI) (* k k)) (sqrt (/ 1 PI))) (* (sqrt (/ 1 PI)) (* k k))))))))
  (+ (/ (- +nan.0) (pow PI (- 1/2 (* 1/2 k)))) (- (/ +nan.0 (* (pow PI (- 1/2 (* 1/2 k))) k)) (/ +nan.0 (* (* k k) (pow PI (- 1/2 (* 1/2 k)))))))
  (+ (/ (- +nan.0) (pow PI (- 1/2 (* 1/2 k)))) (- (/ +nan.0 (* (pow PI (- 1/2 (* 1/2 k))) k)) (/ +nan.0 (* (* k k) (pow PI (- 1/2 (* 1/2 k)))))))
15.681 * * * [progress]: adding candidates to table
18.503 * * [progress]: iteration 4 / 4
18.503 * * * [progress]: picking best candidate
18.542 * * * * [pick]: Picked  #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt PI))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
18.542 * * * [progress]: localizing error
18.584 * * * [progress]: generating rewritten candidates
18.584 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2)
18.586 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1)
18.602 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2)
18.613 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1)
18.681 * * * [progress]: generating series expansions
18.681 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2)
18.681 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1)
18.681 * [backup-simplify]: Simplify (pow n (- 1/2 (/ k 2))) into (pow n (- 1/2 (* 1/2 k)))
18.681 * [approximate]: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in (n k) around 0
18.681 * [taylor]: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k
18.681 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k
18.681 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k
18.681 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
18.681 * [taylor]: Taking taylor expansion of 1/2 in k
18.681 * [backup-simplify]: Simplify 1/2 into 1/2
18.681 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
18.681 * [taylor]: Taking taylor expansion of 1/2 in k
18.681 * [backup-simplify]: Simplify 1/2 into 1/2
18.681 * [taylor]: Taking taylor expansion of k in k
18.681 * [backup-simplify]: Simplify 0 into 0
18.681 * [backup-simplify]: Simplify 1 into 1
18.681 * [taylor]: Taking taylor expansion of (log n) in k
18.681 * [taylor]: Taking taylor expansion of n in k
18.681 * [backup-simplify]: Simplify n into n
18.681 * [backup-simplify]: Simplify (log n) into (log n)
18.682 * [backup-simplify]: Simplify (* 1/2 0) into 0
18.683 * [backup-simplify]: Simplify (- 0) into 0
18.683 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
18.683 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n))
18.683 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2)
18.683 * [taylor]: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in n
18.683 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in n
18.683 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in n
18.683 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
18.683 * [taylor]: Taking taylor expansion of 1/2 in n
18.683 * [backup-simplify]: Simplify 1/2 into 1/2
18.683 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
18.684 * [taylor]: Taking taylor expansion of 1/2 in n
18.684 * [backup-simplify]: Simplify 1/2 into 1/2
18.684 * [taylor]: Taking taylor expansion of k in n
18.684 * [backup-simplify]: Simplify k into k
18.684 * [taylor]: Taking taylor expansion of (log n) in n
18.684 * [taylor]: Taking taylor expansion of n in n
18.684 * [backup-simplify]: Simplify 0 into 0
18.684 * [backup-simplify]: Simplify 1 into 1
18.684 * [backup-simplify]: Simplify (log 1) into 0
18.684 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
18.684 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
18.684 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
18.685 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
18.685 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n))
18.685 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k)))
18.685 * [taylor]: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in n
18.685 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in n
18.685 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in n
18.685 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
18.685 * [taylor]: Taking taylor expansion of 1/2 in n
18.685 * [backup-simplify]: Simplify 1/2 into 1/2
18.685 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
18.685 * [taylor]: Taking taylor expansion of 1/2 in n
18.685 * [backup-simplify]: Simplify 1/2 into 1/2
18.685 * [taylor]: Taking taylor expansion of k in n
18.685 * [backup-simplify]: Simplify k into k
18.685 * [taylor]: Taking taylor expansion of (log n) in n
18.685 * [taylor]: Taking taylor expansion of n in n
18.686 * [backup-simplify]: Simplify 0 into 0
18.686 * [backup-simplify]: Simplify 1 into 1
18.686 * [backup-simplify]: Simplify (log 1) into 0
18.686 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
18.686 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
18.686 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
18.687 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
18.687 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n))
18.687 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k)))
18.687 * [taylor]: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k
18.687 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k
18.687 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k
18.687 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
18.687 * [taylor]: Taking taylor expansion of 1/2 in k
18.687 * [backup-simplify]: Simplify 1/2 into 1/2
18.687 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
18.687 * [taylor]: Taking taylor expansion of 1/2 in k
18.687 * [backup-simplify]: Simplify 1/2 into 1/2
18.687 * [taylor]: Taking taylor expansion of k in k
18.687 * [backup-simplify]: Simplify 0 into 0
18.687 * [backup-simplify]: Simplify 1 into 1
18.687 * [taylor]: Taking taylor expansion of (log n) in k
18.687 * [taylor]: Taking taylor expansion of n in k
18.687 * [backup-simplify]: Simplify n into n
18.688 * [backup-simplify]: Simplify (log n) into (log n)
18.688 * [backup-simplify]: Simplify (* 1/2 0) into 0
18.688 * [backup-simplify]: Simplify (- 0) into 0
18.689 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
18.689 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n))
18.689 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2)
18.689 * [backup-simplify]: Simplify (pow n 1/2) into (pow n 1/2)
18.690 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
18.691 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
18.691 * [backup-simplify]: Simplify (- 0) into 0
18.692 * [backup-simplify]: Simplify (+ 0 0) into 0
18.692 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
18.692 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (log n))) into 0
18.693 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 1) 1)))) into 0
18.693 * [taylor]: Taking taylor expansion of 0 in k
18.693 * [backup-simplify]: Simplify 0 into 0
18.693 * [backup-simplify]: Simplify 0 into 0
18.694 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
18.695 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
18.695 * [backup-simplify]: Simplify (- 1/2) into -1/2
18.696 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
18.696 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log n))) into (- (* 1/2 (log n)))
18.697 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n)))
18.697 * [backup-simplify]: Simplify (* -1/2 (* (sqrt n) (log n))) into (* -1/2 (* (sqrt n) (log n)))
18.700 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
18.700 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
18.701 * [backup-simplify]: Simplify (- 0) into 0
18.701 * [backup-simplify]: Simplify (+ 0 0) into 0
18.701 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
18.701 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0
18.702 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
18.702 * [taylor]: Taking taylor expansion of 0 in k
18.702 * [backup-simplify]: Simplify 0 into 0
18.702 * [backup-simplify]: Simplify 0 into 0
18.702 * [backup-simplify]: Simplify 0 into 0
18.703 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
18.704 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
18.704 * [backup-simplify]: Simplify (- 0) into 0
18.704 * [backup-simplify]: Simplify (+ 0 0) into 0
18.705 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log n)))) into 0
18.706 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt n) (pow (log n) 2)))
18.706 * [backup-simplify]: Simplify (* 1/8 (* (sqrt n) (pow (log n) 2))) into (* 1/8 (* (sqrt n) (pow (log n) 2)))
18.706 * [backup-simplify]: Simplify (+ (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -1/2 (* (sqrt n) (log n))) (* k 1)) (pow n 1/2))) into (- (+ (pow n 1/2) (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2))))) (* 1/2 (* (sqrt n) (* (log n) k))))
18.706 * [backup-simplify]: Simplify (pow (/ 1 n) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))
18.706 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0
18.706 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in k
18.706 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in k
18.706 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in k
18.706 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
18.706 * [taylor]: Taking taylor expansion of 1/2 in k
18.706 * [backup-simplify]: Simplify 1/2 into 1/2
18.706 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
18.706 * [taylor]: Taking taylor expansion of 1/2 in k
18.706 * [backup-simplify]: Simplify 1/2 into 1/2
18.706 * [taylor]: Taking taylor expansion of (/ 1 k) in k
18.706 * [taylor]: Taking taylor expansion of k in k
18.706 * [backup-simplify]: Simplify 0 into 0
18.706 * [backup-simplify]: Simplify 1 into 1
18.707 * [backup-simplify]: Simplify (/ 1 1) into 1
18.707 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k
18.707 * [taylor]: Taking taylor expansion of (/ 1 n) in k
18.707 * [taylor]: Taking taylor expansion of n in k
18.707 * [backup-simplify]: Simplify n into n
18.707 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
18.707 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n))
18.707 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
18.707 * [backup-simplify]: Simplify (- 1/2) into -1/2
18.708 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
18.708 * [backup-simplify]: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n)))
18.708 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) into (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))
18.708 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
18.708 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n
18.708 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n
18.708 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
18.708 * [taylor]: Taking taylor expansion of 1/2 in n
18.708 * [backup-simplify]: Simplify 1/2 into 1/2
18.708 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
18.708 * [taylor]: Taking taylor expansion of 1/2 in n
18.708 * [backup-simplify]: Simplify 1/2 into 1/2
18.708 * [taylor]: Taking taylor expansion of (/ 1 k) in n
18.708 * [taylor]: Taking taylor expansion of k in n
18.708 * [backup-simplify]: Simplify k into k
18.708 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
18.708 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n
18.708 * [taylor]: Taking taylor expansion of (/ 1 n) in n
18.708 * [taylor]: Taking taylor expansion of n in n
18.708 * [backup-simplify]: Simplify 0 into 0
18.708 * [backup-simplify]: Simplify 1 into 1
18.708 * [backup-simplify]: Simplify (/ 1 1) into 1
18.709 * [backup-simplify]: Simplify (log 1) into 0
18.709 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
18.709 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
18.709 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
18.709 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
18.709 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))
18.709 * [backup-simplify]: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))
18.709 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
18.709 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n
18.709 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n
18.709 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
18.709 * [taylor]: Taking taylor expansion of 1/2 in n
18.709 * [backup-simplify]: Simplify 1/2 into 1/2
18.709 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
18.709 * [taylor]: Taking taylor expansion of 1/2 in n
18.709 * [backup-simplify]: Simplify 1/2 into 1/2
18.709 * [taylor]: Taking taylor expansion of (/ 1 k) in n
18.709 * [taylor]: Taking taylor expansion of k in n
18.709 * [backup-simplify]: Simplify k into k
18.709 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
18.709 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n
18.710 * [taylor]: Taking taylor expansion of (/ 1 n) in n
18.710 * [taylor]: Taking taylor expansion of n in n
18.710 * [backup-simplify]: Simplify 0 into 0
18.710 * [backup-simplify]: Simplify 1 into 1
18.710 * [backup-simplify]: Simplify (/ 1 1) into 1
18.710 * [backup-simplify]: Simplify (log 1) into 0
18.710 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
18.710 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
18.710 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
18.710 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
18.711 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))
18.711 * [backup-simplify]: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))
18.711 * [taylor]: Taking taylor expansion of (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) in k
18.711 * [taylor]: Taking taylor expansion of (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) in k
18.711 * [taylor]: Taking taylor expansion of -1 in k
18.711 * [backup-simplify]: Simplify -1 into -1
18.711 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log n)) in k
18.711 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
18.711 * [taylor]: Taking taylor expansion of 1/2 in k
18.711 * [backup-simplify]: Simplify 1/2 into 1/2
18.711 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
18.711 * [taylor]: Taking taylor expansion of 1/2 in k
18.711 * [backup-simplify]: Simplify 1/2 into 1/2
18.711 * [taylor]: Taking taylor expansion of (/ 1 k) in k
18.711 * [taylor]: Taking taylor expansion of k in k
18.711 * [backup-simplify]: Simplify 0 into 0
18.711 * [backup-simplify]: Simplify 1 into 1
18.711 * [backup-simplify]: Simplify (/ 1 1) into 1
18.711 * [taylor]: Taking taylor expansion of (log n) in k
18.711 * [taylor]: Taking taylor expansion of n in k
18.711 * [backup-simplify]: Simplify n into n
18.711 * [backup-simplify]: Simplify (log n) into (log n)
18.712 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
18.712 * [backup-simplify]: Simplify (- 1/2) into -1/2
18.712 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
18.712 * [backup-simplify]: Simplify (* -1/2 (log n)) into (* -1/2 (log n))
18.712 * [backup-simplify]: Simplify (* -1 (* -1/2 (log n))) into (* 1/2 (log n))
18.712 * [backup-simplify]: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))
18.712 * [backup-simplify]: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))
18.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.714 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
18.714 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
18.714 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
18.714 * [backup-simplify]: Simplify (- 0) into 0
18.714 * [backup-simplify]: Simplify (+ 0 0) into 0
18.715 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
18.715 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log n)))) into 0
18.715 * [backup-simplify]: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
18.715 * [taylor]: Taking taylor expansion of 0 in k
18.715 * [backup-simplify]: Simplify 0 into 0
18.715 * [backup-simplify]: Simplify 0 into 0
18.716 * [backup-simplify]: Simplify 0 into 0
18.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.718 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
18.718 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
18.718 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
18.718 * [backup-simplify]: Simplify (- 0) into 0
18.719 * [backup-simplify]: Simplify (+ 0 0) into 0
18.719 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
18.719 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0
18.720 * [backup-simplify]: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
18.720 * [taylor]: Taking taylor expansion of 0 in k
18.720 * [backup-simplify]: Simplify 0 into 0
18.720 * [backup-simplify]: Simplify 0 into 0
18.720 * [backup-simplify]: Simplify 0 into 0
18.720 * [backup-simplify]: Simplify 0 into 0
18.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.723 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
18.724 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
18.724 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
18.725 * [backup-simplify]: Simplify (- 0) into 0
18.725 * [backup-simplify]: Simplify (+ 0 0) into 0
18.725 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
18.726 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0
18.727 * [backup-simplify]: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
18.727 * [taylor]: Taking taylor expansion of 0 in k
18.727 * [backup-simplify]: Simplify 0 into 0
18.727 * [backup-simplify]: Simplify 0 into 0
18.727 * [backup-simplify]: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) into (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n)))))
18.727 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2))
18.727 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0
18.727 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k
18.727 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in k
18.727 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in k
18.727 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
18.727 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
18.727 * [taylor]: Taking taylor expansion of 1/2 in k
18.727 * [backup-simplify]: Simplify 1/2 into 1/2
18.727 * [taylor]: Taking taylor expansion of (/ 1 k) in k
18.727 * [taylor]: Taking taylor expansion of k in k
18.727 * [backup-simplify]: Simplify 0 into 0
18.727 * [backup-simplify]: Simplify 1 into 1
18.727 * [backup-simplify]: Simplify (/ 1 1) into 1
18.727 * [taylor]: Taking taylor expansion of 1/2 in k
18.728 * [backup-simplify]: Simplify 1/2 into 1/2
18.728 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k
18.728 * [taylor]: Taking taylor expansion of (/ -1 n) in k
18.728 * [taylor]: Taking taylor expansion of -1 in k
18.728 * [backup-simplify]: Simplify -1 into -1
18.728 * [taylor]: Taking taylor expansion of n in k
18.728 * [backup-simplify]: Simplify n into n
18.728 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n)
18.728 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n))
18.728 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
18.728 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
18.729 * [backup-simplify]: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n)))
18.729 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) into (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2))
18.729 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
18.729 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n
18.729 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n
18.729 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
18.729 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
18.729 * [taylor]: Taking taylor expansion of 1/2 in n
18.729 * [backup-simplify]: Simplify 1/2 into 1/2
18.729 * [taylor]: Taking taylor expansion of (/ 1 k) in n
18.729 * [taylor]: Taking taylor expansion of k in n
18.729 * [backup-simplify]: Simplify k into k
18.729 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
18.729 * [taylor]: Taking taylor expansion of 1/2 in n
18.729 * [backup-simplify]: Simplify 1/2 into 1/2
18.729 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n
18.729 * [taylor]: Taking taylor expansion of (/ -1 n) in n
18.729 * [taylor]: Taking taylor expansion of -1 in n
18.729 * [backup-simplify]: Simplify -1 into -1
18.729 * [taylor]: Taking taylor expansion of n in n
18.729 * [backup-simplify]: Simplify 0 into 0
18.729 * [backup-simplify]: Simplify 1 into 1
18.730 * [backup-simplify]: Simplify (/ -1 1) into -1
18.730 * [backup-simplify]: Simplify (log -1) into (log -1)
18.730 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
18.730 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
18.731 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
18.731 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))
18.732 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))
18.732 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
18.732 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n
18.732 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n
18.732 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
18.732 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
18.732 * [taylor]: Taking taylor expansion of 1/2 in n
18.732 * [backup-simplify]: Simplify 1/2 into 1/2
18.732 * [taylor]: Taking taylor expansion of (/ 1 k) in n
18.732 * [taylor]: Taking taylor expansion of k in n
18.732 * [backup-simplify]: Simplify k into k
18.732 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
18.732 * [taylor]: Taking taylor expansion of 1/2 in n
18.732 * [backup-simplify]: Simplify 1/2 into 1/2
18.732 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n
18.732 * [taylor]: Taking taylor expansion of (/ -1 n) in n
18.732 * [taylor]: Taking taylor expansion of -1 in n
18.732 * [backup-simplify]: Simplify -1 into -1
18.732 * [taylor]: Taking taylor expansion of n in n
18.732 * [backup-simplify]: Simplify 0 into 0
18.732 * [backup-simplify]: Simplify 1 into 1
18.733 * [backup-simplify]: Simplify (/ -1 1) into -1
18.733 * [backup-simplify]: Simplify (log -1) into (log -1)
18.733 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
18.733 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
18.734 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
18.735 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))
18.735 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))
18.735 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) in k
18.735 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) in k
18.735 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
18.735 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
18.735 * [taylor]: Taking taylor expansion of 1/2 in k
18.735 * [backup-simplify]: Simplify 1/2 into 1/2
18.735 * [taylor]: Taking taylor expansion of (/ 1 k) in k
18.735 * [taylor]: Taking taylor expansion of k in k
18.735 * [backup-simplify]: Simplify 0 into 0
18.736 * [backup-simplify]: Simplify 1 into 1
18.736 * [backup-simplify]: Simplify (/ 1 1) into 1
18.736 * [taylor]: Taking taylor expansion of 1/2 in k
18.736 * [backup-simplify]: Simplify 1/2 into 1/2
18.736 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k
18.736 * [taylor]: Taking taylor expansion of (log -1) in k
18.736 * [taylor]: Taking taylor expansion of -1 in k
18.736 * [backup-simplify]: Simplify -1 into -1
18.736 * [backup-simplify]: Simplify (log -1) into (log -1)
18.737 * [taylor]: Taking taylor expansion of (log n) in k
18.737 * [taylor]: Taking taylor expansion of n in k
18.737 * [backup-simplify]: Simplify n into n
18.737 * [backup-simplify]: Simplify (log n) into (log n)
18.737 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
18.738 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
18.738 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
18.738 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n))
18.739 * [backup-simplify]: Simplify (* 1/2 (- (log -1) (log n))) into (* 1/2 (- (log -1) (log n)))
18.739 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))
18.740 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))
18.741 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
18.742 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
18.742 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
18.743 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
18.743 * [backup-simplify]: Simplify (+ 0 0) into 0
18.744 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
18.744 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -1) (log n)))) into 0
18.745 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
18.745 * [taylor]: Taking taylor expansion of 0 in k
18.746 * [backup-simplify]: Simplify 0 into 0
18.746 * [backup-simplify]: Simplify 0 into 0
18.746 * [backup-simplify]: Simplify 0 into 0
18.747 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.749 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0
18.750 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
18.751 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
18.751 * [backup-simplify]: Simplify (+ 0 0) into 0
18.752 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
18.753 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0
18.754 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
18.754 * [taylor]: Taking taylor expansion of 0 in k
18.754 * [backup-simplify]: Simplify 0 into 0
18.754 * [backup-simplify]: Simplify 0 into 0
18.754 * [backup-simplify]: Simplify 0 into 0
18.754 * [backup-simplify]: Simplify 0 into 0
18.755 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.761 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0
18.761 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
18.762 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
18.763 * [backup-simplify]: Simplify (+ 0 0) into 0
18.763 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
18.765 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0
18.767 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
18.767 * [taylor]: Taking taylor expansion of 0 in k
18.767 * [backup-simplify]: Simplify 0 into 0
18.767 * [backup-simplify]: Simplify 0 into 0
18.768 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n)))))
18.768 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2)
18.768 * [backup-simplify]: Simplify (/ (sqrt k) (sqrt PI)) into (sqrt (/ k PI))
18.768 * [approximate]: Taking taylor expansion of (sqrt (/ k PI)) in (k) around 0
18.768 * [taylor]: Taking taylor expansion of (sqrt (/ k PI)) in k
18.768 * [taylor]: Taking taylor expansion of (/ k PI) in k
18.768 * [taylor]: Taking taylor expansion of k in k
18.768 * [backup-simplify]: Simplify 0 into 0
18.768 * [backup-simplify]: Simplify 1 into 1
18.768 * [taylor]: Taking taylor expansion of PI in k
18.768 * [backup-simplify]: Simplify PI into PI
18.769 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI)
18.769 * [backup-simplify]: Simplify (sqrt 0) into 0
18.772 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI)
18.772 * [taylor]: Taking taylor expansion of (sqrt (/ k PI)) in k
18.772 * [taylor]: Taking taylor expansion of (/ k PI) in k
18.772 * [taylor]: Taking taylor expansion of k in k
18.772 * [backup-simplify]: Simplify 0 into 0
18.772 * [backup-simplify]: Simplify 1 into 1
18.772 * [taylor]: Taking taylor expansion of PI in k
18.772 * [backup-simplify]: Simplify PI into PI
18.772 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI)
18.773 * [backup-simplify]: Simplify (sqrt 0) into 0
18.775 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI)
18.775 * [backup-simplify]: Simplify 0 into 0
18.775 * [backup-simplify]: Simplify (/ +nan.0 PI) into (/ +nan.0 PI)
18.776 * [backup-simplify]: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)))) into 0
18.780 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 PI) 2) (+)) (* 2 0)) into (/ +nan.0 (pow PI 2))
18.782 * [backup-simplify]: Simplify (/ +nan.0 (pow PI 2)) into (/ +nan.0 (pow PI 2))
18.783 * [backup-simplify]: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
18.792 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (/ +nan.0 PI) (/ +nan.0 (pow PI 2)))))) (* 2 0)) into (/ +nan.0 (pow PI 3))
18.793 * [backup-simplify]: Simplify (/ +nan.0 (pow PI 3)) into (/ +nan.0 (pow PI 3))
18.796 * [backup-simplify]: Simplify (+ (* (/ +nan.0 (pow PI 3)) (pow k 3)) (+ (* (/ +nan.0 (pow PI 2)) (pow k 2)) (* (/ +nan.0 PI) k))) into (- (+ (* +nan.0 (/ k PI)) (- (+ (* +nan.0 (/ (pow k 2) (pow PI 2))) (- (* +nan.0 (/ (pow k 3) (pow PI 3))))))))
18.797 * [backup-simplify]: Simplify (/ (sqrt (/ 1 k)) (sqrt PI)) into (sqrt (/ 1 (* PI k)))
18.797 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* PI k))) in (k) around 0
18.797 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* PI k))) in k
18.797 * [taylor]: Taking taylor expansion of (/ 1 (* PI k)) in k
18.797 * [taylor]: Taking taylor expansion of (* PI k) in k
18.797 * [taylor]: Taking taylor expansion of PI in k
18.797 * [backup-simplify]: Simplify PI into PI
18.797 * [taylor]: Taking taylor expansion of k in k
18.797 * [backup-simplify]: Simplify 0 into 0
18.797 * [backup-simplify]: Simplify 1 into 1
18.798 * [backup-simplify]: Simplify (* PI 0) into 0
18.800 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI
18.800 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI)
18.801 * [backup-simplify]: Simplify (sqrt 0) into 0
18.806 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI)
18.806 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* PI k))) in k
18.806 * [taylor]: Taking taylor expansion of (/ 1 (* PI k)) in k
18.806 * [taylor]: Taking taylor expansion of (* PI k) in k
18.806 * [taylor]: Taking taylor expansion of PI in k
18.806 * [backup-simplify]: Simplify PI into PI
18.806 * [taylor]: Taking taylor expansion of k in k
18.806 * [backup-simplify]: Simplify 0 into 0
18.807 * [backup-simplify]: Simplify 1 into 1
18.807 * [backup-simplify]: Simplify (* PI 0) into 0
18.809 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI
18.809 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI)
18.810 * [backup-simplify]: Simplify (sqrt 0) into 0
18.812 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI)
18.812 * [backup-simplify]: Simplify 0 into 0
18.813 * [backup-simplify]: Simplify (/ +nan.0 PI) into (/ +nan.0 PI)
18.814 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0
18.815 * [backup-simplify]: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0
18.820 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 PI) 2) (+)) (* 2 0)) into (/ +nan.0 (pow PI 2))
18.822 * [backup-simplify]: Simplify (/ +nan.0 (pow PI 2)) into (/ +nan.0 (pow PI 2))
18.823 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
18.824 * [backup-simplify]: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
18.834 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (/ +nan.0 PI) (/ +nan.0 (pow PI 2)))))) (* 2 0)) into (/ +nan.0 (pow PI 3))
18.835 * [backup-simplify]: Simplify (/ +nan.0 (pow PI 3)) into (/ +nan.0 (pow PI 3))
18.840 * [backup-simplify]: Simplify (+ (* (/ +nan.0 (pow PI 3)) (pow (/ 1 k) 2)) (+ (* (/ +nan.0 (pow PI 2)) (/ 1 k)) (/ +nan.0 PI))) into (- (+ (* +nan.0 (/ 1 (* (pow PI 2) k))) (- (+ (* +nan.0 (/ 1 PI)) (- (* +nan.0 (/ 1 (* (pow PI 3) (pow k 2)))))))))
18.841 * [backup-simplify]: Simplify (/ (sqrt (/ 1 (- k))) (sqrt PI)) into (* (sqrt (/ -1 k)) (sqrt (/ 1 PI)))
18.841 * [approximate]: Taking taylor expansion of (* (sqrt (/ -1 k)) (sqrt (/ 1 PI))) in (k) around 0
18.841 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (sqrt (/ 1 PI))) in k
18.841 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
18.841 * [taylor]: Taking taylor expansion of (/ -1 k) in k
18.841 * [taylor]: Taking taylor expansion of -1 in k
18.841 * [backup-simplify]: Simplify -1 into -1
18.841 * [taylor]: Taking taylor expansion of k in k
18.841 * [backup-simplify]: Simplify 0 into 0
18.841 * [backup-simplify]: Simplify 1 into 1
18.842 * [backup-simplify]: Simplify (/ -1 1) into -1
18.842 * [backup-simplify]: Simplify (sqrt 0) into 0
18.844 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
18.844 * [taylor]: Taking taylor expansion of (sqrt (/ 1 PI)) in k
18.844 * [taylor]: Taking taylor expansion of (/ 1 PI) in k
18.844 * [taylor]: Taking taylor expansion of PI in k
18.844 * [backup-simplify]: Simplify PI into PI
18.845 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI)
18.846 * [backup-simplify]: Simplify (sqrt (/ 1 PI)) into (sqrt (/ 1 PI))
18.847 * [backup-simplify]: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0
18.848 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 PI)))) into 0
18.848 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (sqrt (/ 1 PI))) in k
18.848 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
18.848 * [taylor]: Taking taylor expansion of (/ -1 k) in k
18.848 * [taylor]: Taking taylor expansion of -1 in k
18.848 * [backup-simplify]: Simplify -1 into -1
18.848 * [taylor]: Taking taylor expansion of k in k
18.848 * [backup-simplify]: Simplify 0 into 0
18.848 * [backup-simplify]: Simplify 1 into 1
18.849 * [backup-simplify]: Simplify (/ -1 1) into -1
18.849 * [backup-simplify]: Simplify (sqrt 0) into 0
18.850 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
18.850 * [taylor]: Taking taylor expansion of (sqrt (/ 1 PI)) in k
18.850 * [taylor]: Taking taylor expansion of (/ 1 PI) in k
18.850 * [taylor]: Taking taylor expansion of PI in k
18.850 * [backup-simplify]: Simplify PI into PI
18.851 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI)
18.852 * [backup-simplify]: Simplify (sqrt (/ 1 PI)) into (sqrt (/ 1 PI))
18.853 * [backup-simplify]: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0
18.854 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 PI)))) into 0
18.855 * [backup-simplify]: Simplify (* 0 (sqrt (/ 1 PI))) into 0
18.855 * [backup-simplify]: Simplify 0 into 0
18.858 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt (/ 1 PI)))) into (- (* +nan.0 (sqrt (/ 1 PI))))
18.861 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt (/ 1 PI)))) into (- (* +nan.0 (sqrt (/ 1 PI))))
18.862 * [backup-simplify]: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
18.863 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 PI)))) into 0
18.864 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
18.867 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
18.872 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt (/ 1 PI))))) into (- (* +nan.0 (sqrt (/ 1 PI))))
18.875 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt (/ 1 PI)))) into (- (* +nan.0 (sqrt (/ 1 PI))))
18.876 * [backup-simplify]: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
18.878 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 PI)))) into 0
18.879 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.883 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
18.890 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt (/ 1 PI)))))) into (- (* +nan.0 (sqrt (/ 1 PI))))
18.892 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt (/ 1 PI)))) into (- (* +nan.0 (sqrt (/ 1 PI))))
18.901 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt (/ 1 PI)))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (sqrt (/ 1 PI)))) (/ 1 (- k))) (- (* +nan.0 (sqrt (/ 1 PI)))))) into (- (+ (* +nan.0 (* (sqrt (/ 1 PI)) (/ 1 k))) (- (+ (* +nan.0 (* (sqrt (/ 1 PI)) (/ 1 (pow k 2)))) (- (* +nan.0 (sqrt (/ 1 PI))))))))
18.901 * * * * [progress]: [ 4 / 4 ] generating series at (2 1)
18.902 * [backup-simplify]: Simplify (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt PI))) into (* (pow n (- 1/2 (* 1/2 k))) (sqrt (/ PI k)))
18.902 * [approximate]: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (sqrt (/ PI k))) in (n k) around 0
18.902 * [taylor]: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (sqrt (/ PI k))) in k
18.902 * [taylor]: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k
18.902 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k
18.902 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k
18.902 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
18.902 * [taylor]: Taking taylor expansion of 1/2 in k
18.902 * [backup-simplify]: Simplify 1/2 into 1/2
18.902 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
18.902 * [taylor]: Taking taylor expansion of 1/2 in k
18.902 * [backup-simplify]: Simplify 1/2 into 1/2
18.902 * [taylor]: Taking taylor expansion of k in k
18.902 * [backup-simplify]: Simplify 0 into 0
18.902 * [backup-simplify]: Simplify 1 into 1
18.902 * [taylor]: Taking taylor expansion of (log n) in k
18.902 * [taylor]: Taking taylor expansion of n in k
18.902 * [backup-simplify]: Simplify n into n
18.902 * [backup-simplify]: Simplify (log n) into (log n)
18.903 * [backup-simplify]: Simplify (* 1/2 0) into 0
18.903 * [backup-simplify]: Simplify (- 0) into 0
18.904 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
18.904 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n))
18.904 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2)
18.904 * [taylor]: Taking taylor expansion of (sqrt (/ PI k)) in k
18.904 * [taylor]: Taking taylor expansion of (/ PI k) in k
18.904 * [taylor]: Taking taylor expansion of PI in k
18.904 * [backup-simplify]: Simplify PI into PI
18.904 * [taylor]: Taking taylor expansion of k in k
18.904 * [backup-simplify]: Simplify 0 into 0
18.904 * [backup-simplify]: Simplify 1 into 1
18.904 * [backup-simplify]: Simplify (/ PI 1) into PI
18.905 * [backup-simplify]: Simplify (sqrt 0) into 0
18.906 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
18.906 * [taylor]: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (sqrt (/ PI k))) in n
18.906 * [taylor]: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in n
18.906 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in n
18.906 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in n
18.906 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
18.906 * [taylor]: Taking taylor expansion of 1/2 in n
18.907 * [backup-simplify]: Simplify 1/2 into 1/2
18.907 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
18.907 * [taylor]: Taking taylor expansion of 1/2 in n
18.907 * [backup-simplify]: Simplify 1/2 into 1/2
18.907 * [taylor]: Taking taylor expansion of k in n
18.907 * [backup-simplify]: Simplify k into k
18.907 * [taylor]: Taking taylor expansion of (log n) in n
18.907 * [taylor]: Taking taylor expansion of n in n
18.907 * [backup-simplify]: Simplify 0 into 0
18.907 * [backup-simplify]: Simplify 1 into 1
18.907 * [backup-simplify]: Simplify (log 1) into 0
18.907 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
18.907 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
18.907 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
18.908 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
18.908 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n))
18.908 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k)))
18.908 * [taylor]: Taking taylor expansion of (sqrt (/ PI k)) in n
18.908 * [taylor]: Taking taylor expansion of (/ PI k) in n
18.908 * [taylor]: Taking taylor expansion of PI in n
18.908 * [backup-simplify]: Simplify PI into PI
18.908 * [taylor]: Taking taylor expansion of k in n
18.908 * [backup-simplify]: Simplify k into k
18.908 * [backup-simplify]: Simplify (/ PI k) into (/ PI k)
18.908 * [backup-simplify]: Simplify (sqrt (/ PI k)) into (sqrt (/ PI k))
18.908 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ PI k) (/ 0 k)))) into 0
18.908 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ PI k)))) into 0
18.909 * [taylor]: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (sqrt (/ PI k))) in n
18.909 * [taylor]: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in n
18.909 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in n
18.909 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in n
18.909 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
18.909 * [taylor]: Taking taylor expansion of 1/2 in n
18.909 * [backup-simplify]: Simplify 1/2 into 1/2
18.909 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
18.909 * [taylor]: Taking taylor expansion of 1/2 in n
18.909 * [backup-simplify]: Simplify 1/2 into 1/2
18.909 * [taylor]: Taking taylor expansion of k in n
18.909 * [backup-simplify]: Simplify k into k
18.909 * [taylor]: Taking taylor expansion of (log n) in n
18.909 * [taylor]: Taking taylor expansion of n in n
18.909 * [backup-simplify]: Simplify 0 into 0
18.909 * [backup-simplify]: Simplify 1 into 1
18.909 * [backup-simplify]: Simplify (log 1) into 0
18.909 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
18.909 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
18.909 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
18.910 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
18.910 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n))
18.910 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k)))
18.910 * [taylor]: Taking taylor expansion of (sqrt (/ PI k)) in n
18.910 * [taylor]: Taking taylor expansion of (/ PI k) in n
18.910 * [taylor]: Taking taylor expansion of PI in n
18.910 * [backup-simplify]: Simplify PI into PI
18.910 * [taylor]: Taking taylor expansion of k in n
18.910 * [backup-simplify]: Simplify k into k
18.910 * [backup-simplify]: Simplify (/ PI k) into (/ PI k)
18.910 * [backup-simplify]: Simplify (sqrt (/ PI k)) into (sqrt (/ PI k))
18.911 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ PI k) (/ 0 k)))) into 0
18.911 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ PI k)))) into 0
18.911 * [backup-simplify]: Simplify (* (pow n (- 1/2 (* 1/2 k))) (sqrt (/ PI k))) into (* (pow n (- 1/2 (* 1/2 k))) (sqrt (/ PI k)))
18.911 * [taylor]: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (sqrt (/ PI k))) in k
18.911 * [taylor]: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k
18.911 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k
18.911 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k
18.911 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
18.911 * [taylor]: Taking taylor expansion of 1/2 in k
18.911 * [backup-simplify]: Simplify 1/2 into 1/2
18.911 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
18.911 * [taylor]: Taking taylor expansion of 1/2 in k
18.911 * [backup-simplify]: Simplify 1/2 into 1/2
18.911 * [taylor]: Taking taylor expansion of k in k
18.911 * [backup-simplify]: Simplify 0 into 0
18.911 * [backup-simplify]: Simplify 1 into 1
18.911 * [taylor]: Taking taylor expansion of (log n) in k
18.911 * [taylor]: Taking taylor expansion of n in k
18.911 * [backup-simplify]: Simplify n into n
18.911 * [backup-simplify]: Simplify (log n) into (log n)
18.912 * [backup-simplify]: Simplify (* 1/2 0) into 0
18.912 * [backup-simplify]: Simplify (- 0) into 0
18.913 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
18.913 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n))
18.913 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2)
18.913 * [taylor]: Taking taylor expansion of (sqrt (/ PI k)) in k
18.913 * [taylor]: Taking taylor expansion of (/ PI k) in k
18.913 * [taylor]: Taking taylor expansion of PI in k
18.913 * [backup-simplify]: Simplify PI into PI
18.913 * [taylor]: Taking taylor expansion of k in k
18.913 * [backup-simplify]: Simplify 0 into 0
18.913 * [backup-simplify]: Simplify 1 into 1
18.914 * [backup-simplify]: Simplify (/ PI 1) into PI
18.914 * [backup-simplify]: Simplify (sqrt 0) into 0
18.915 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
18.915 * [backup-simplify]: Simplify (* (pow n 1/2) 0) into 0
18.916 * [backup-simplify]: Simplify 0 into 0
18.917 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
18.917 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
18.918 * [backup-simplify]: Simplify (- 0) into 0
18.918 * [backup-simplify]: Simplify (+ 0 0) into 0
18.918 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
18.919 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (log n))) into 0
18.919 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 1) 1)))) into 0
18.920 * [backup-simplify]: Simplify (+ (* (pow n (- 1/2 (* 1/2 k))) 0) (* 0 (sqrt (/ PI k)))) into 0
18.920 * [taylor]: Taking taylor expansion of 0 in k
18.920 * [backup-simplify]: Simplify 0 into 0
18.921 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
18.921 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
18.922 * [backup-simplify]: Simplify (- 1/2) into -1/2
18.922 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
18.923 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log n))) into (- (* 1/2 (log n)))
18.923 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n)))
18.924 * [backup-simplify]: Simplify (+ (* (pow n 1/2) (* +nan.0 PI)) (* (* -1/2 (* (sqrt n) (log n))) 0)) into (- (* +nan.0 (* (sqrt n) PI)))
18.924 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt n) PI))) into (- (* +nan.0 (* (sqrt n) PI)))
18.924 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ PI k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
18.925 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ PI k)))) into 0
18.927 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
18.928 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
18.929 * [backup-simplify]: Simplify (- 0) into 0
18.929 * [backup-simplify]: Simplify (+ 0 0) into 0
18.929 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
18.930 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0
18.931 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
18.932 * [backup-simplify]: Simplify (+ (* (pow n (- 1/2 (* 1/2 k))) 0) (+ (* 0 0) (* 0 (sqrt (/ PI k))))) into 0
18.932 * [taylor]: Taking taylor expansion of 0 in k
18.932 * [backup-simplify]: Simplify 0 into 0
18.932 * [backup-simplify]: Simplify 0 into 0
18.933 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
18.937 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2))
18.939 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
18.940 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
18.940 * [backup-simplify]: Simplify (- 0) into 0
18.941 * [backup-simplify]: Simplify (+ 0 0) into 0
18.942 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log n)))) into 0
18.942 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt n) (pow (log n) 2)))
18.945 * [backup-simplify]: Simplify (+ (* (pow n 1/2) (* +nan.0 (pow PI 2))) (+ (* (* -1/2 (* (sqrt n) (log n))) (* +nan.0 PI)) (* (* 1/8 (* (sqrt n) (pow (log n) 2))) 0))) into (- (+ (* +nan.0 (* (sqrt n) (pow PI 2))) (- (* +nan.0 (* (sqrt n) (* PI (log n)))))))
18.945 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (sqrt n) (pow PI 2))) (- (* +nan.0 (* (sqrt n) (* PI (log n))))))) into (- (+ (* +nan.0 (* (sqrt n) (pow PI 2))) (- (* +nan.0 (* (sqrt n) (* PI (log n)))))))
18.946 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ PI k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
18.946 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ PI k)))) into 0
18.952 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
18.953 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0
18.956 * [backup-simplify]: Simplify (- 0) into 0
18.957 * [backup-simplify]: Simplify (+ 0 0) into 0
18.957 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
18.958 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log n))))) into 0
18.960 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
18.961 * [backup-simplify]: Simplify (+ (* (pow n (- 1/2 (* 1/2 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ PI k)))))) into 0
18.961 * [taylor]: Taking taylor expansion of 0 in k
18.961 * [backup-simplify]: Simplify 0 into 0
18.961 * [backup-simplify]: Simplify 0 into 0
18.961 * [backup-simplify]: Simplify 0 into 0
18.962 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.970 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 PI) (* +nan.0 (pow PI 2)))))) (* 2 0)) into (* +nan.0 (pow PI 3))
18.973 * [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
18.974 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
18.975 * [backup-simplify]: Simplify (- 0) into 0
18.975 * [backup-simplify]: Simplify (+ 0 0) into 0
18.976 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log n))))) into 0
18.978 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 3) 6)) (* (/ (pow (- (* 1/2 (log n))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt n) (pow (log n) 3)))
18.982 * [backup-simplify]: Simplify (+ (* (pow n 1/2) (* +nan.0 (pow PI 3))) (+ (* (* -1/2 (* (sqrt n) (log n))) (* +nan.0 (pow PI 2))) (+ (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (* +nan.0 PI)) (* (* -1/48 (* (sqrt n) (pow (log n) 3))) 0)))) into (- (+ (* +nan.0 (* (sqrt n) (* PI (pow (log n) 2)))) (- (+ (* +nan.0 (* (sqrt n) (pow PI 3))) (- (* +nan.0 (* (sqrt n) (* (pow PI 2) (log n)))))))))
18.985 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (sqrt n) (* PI (pow (log n) 2)))) (- (+ (* +nan.0 (* (sqrt n) (pow PI 3))) (- (* +nan.0 (* (sqrt n) (* (pow PI 2) (log n))))))))) into (- (+ (* +nan.0 (* (sqrt n) (* PI (pow (log n) 2)))) (- (+ (* +nan.0 (* (sqrt n) (pow PI 3))) (- (* +nan.0 (* (sqrt n) (* (pow PI 2) (log n)))))))))
18.989 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (sqrt n) (* PI (pow (log n) 2)))) (- (+ (* +nan.0 (* (sqrt n) (pow PI 3))) (- (* +nan.0 (* (sqrt n) (* (pow PI 2) (log n))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt n) (pow PI 2))) (- (* +nan.0 (* (sqrt n) (* PI (log n))))))) (* k 1)) (- (* +nan.0 (* (sqrt n) PI))))) into (- (+ (* +nan.0 (* (sqrt n) (* (pow PI 2) k))) (- (+ (* +nan.0 (* (sqrt n) (* (pow PI 2) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (sqrt n) (* PI (* (pow (log n) 2) (pow k 2))))) (- (+ (* +nan.0 (* (sqrt n) PI)) (- (+ (* +nan.0 (* (sqrt n) (* PI (* (log n) k)))) (- (* +nan.0 (* (sqrt n) (* (pow PI 3) (pow k 2)))))))))))))))
18.990 * [backup-simplify]: Simplify (/ (pow (/ 1 n) (- 1/2 (/ (/ 1 k) 2))) (/ (sqrt (/ 1 k)) (sqrt PI))) into (* (sqrt (* PI k)) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))
18.990 * [approximate]: Taking taylor expansion of (* (sqrt (* PI k)) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0
18.990 * [taylor]: Taking taylor expansion of (* (sqrt (* PI k)) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in k
18.990 * [taylor]: Taking taylor expansion of (sqrt (* PI k)) in k
18.990 * [taylor]: Taking taylor expansion of (* PI k) in k
18.990 * [taylor]: Taking taylor expansion of PI in k
18.990 * [backup-simplify]: Simplify PI into PI
18.990 * [taylor]: Taking taylor expansion of k in k
18.990 * [backup-simplify]: Simplify 0 into 0
18.990 * [backup-simplify]: Simplify 1 into 1
18.991 * [backup-simplify]: Simplify (* PI 0) into 0
18.992 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI
18.992 * [backup-simplify]: Simplify (sqrt 0) into 0
18.993 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
18.993 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in k
18.993 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in k
18.993 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in k
18.993 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
18.993 * [taylor]: Taking taylor expansion of 1/2 in k
18.993 * [backup-simplify]: Simplify 1/2 into 1/2
18.993 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
18.993 * [taylor]: Taking taylor expansion of 1/2 in k
18.993 * [backup-simplify]: Simplify 1/2 into 1/2
18.993 * [taylor]: Taking taylor expansion of (/ 1 k) in k
18.993 * [taylor]: Taking taylor expansion of k in k
18.993 * [backup-simplify]: Simplify 0 into 0
18.993 * [backup-simplify]: Simplify 1 into 1
18.994 * [backup-simplify]: Simplify (/ 1 1) into 1
18.994 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k
18.994 * [taylor]: Taking taylor expansion of (/ 1 n) in k
18.994 * [taylor]: Taking taylor expansion of n in k
18.994 * [backup-simplify]: Simplify n into n
18.994 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
18.994 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n))
18.994 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
18.994 * [backup-simplify]: Simplify (- 1/2) into -1/2
18.995 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
18.995 * [backup-simplify]: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n)))
18.995 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) into (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))
18.995 * [taylor]: Taking taylor expansion of (* (sqrt (* PI k)) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in n
18.995 * [taylor]: Taking taylor expansion of (sqrt (* PI k)) in n
18.995 * [taylor]: Taking taylor expansion of (* PI k) in n
18.995 * [taylor]: Taking taylor expansion of PI in n
18.995 * [backup-simplify]: Simplify PI into PI
18.995 * [taylor]: Taking taylor expansion of k in n
18.995 * [backup-simplify]: Simplify k into k
18.995 * [backup-simplify]: Simplify (* PI k) into (* PI k)
18.995 * [backup-simplify]: Simplify (sqrt (* PI k)) into (sqrt (* PI k))
18.995 * [backup-simplify]: Simplify (+ (* PI 0) (* 0 k)) into 0
18.995 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* PI k)))) into 0
18.995 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
18.995 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n
18.995 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n
18.995 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
18.995 * [taylor]: Taking taylor expansion of 1/2 in n
18.995 * [backup-simplify]: Simplify 1/2 into 1/2
18.995 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
18.996 * [taylor]: Taking taylor expansion of 1/2 in n
18.996 * [backup-simplify]: Simplify 1/2 into 1/2
18.996 * [taylor]: Taking taylor expansion of (/ 1 k) in n
18.996 * [taylor]: Taking taylor expansion of k in n
18.996 * [backup-simplify]: Simplify k into k
18.996 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
18.996 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n
18.996 * [taylor]: Taking taylor expansion of (/ 1 n) in n
18.996 * [taylor]: Taking taylor expansion of n in n
18.996 * [backup-simplify]: Simplify 0 into 0
18.996 * [backup-simplify]: Simplify 1 into 1
18.996 * [backup-simplify]: Simplify (/ 1 1) into 1
18.996 * [backup-simplify]: Simplify (log 1) into 0
18.996 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
18.996 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
18.996 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
18.997 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
18.997 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))
18.997 * [backup-simplify]: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))
18.997 * [taylor]: Taking taylor expansion of (* (sqrt (* PI k)) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in n
18.997 * [taylor]: Taking taylor expansion of (sqrt (* PI k)) in n
18.997 * [taylor]: Taking taylor expansion of (* PI k) in n
18.997 * [taylor]: Taking taylor expansion of PI in n
18.997 * [backup-simplify]: Simplify PI into PI
18.997 * [taylor]: Taking taylor expansion of k in n
18.997 * [backup-simplify]: Simplify k into k
18.997 * [backup-simplify]: Simplify (* PI k) into (* PI k)
18.997 * [backup-simplify]: Simplify (sqrt (* PI k)) into (sqrt (* PI k))
18.997 * [backup-simplify]: Simplify (+ (* PI 0) (* 0 k)) into 0
18.997 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* PI k)))) into 0
18.997 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
18.997 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n
18.997 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n
18.997 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
18.997 * [taylor]: Taking taylor expansion of 1/2 in n
18.997 * [backup-simplify]: Simplify 1/2 into 1/2
18.997 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
18.997 * [taylor]: Taking taylor expansion of 1/2 in n
18.997 * [backup-simplify]: Simplify 1/2 into 1/2
18.998 * [taylor]: Taking taylor expansion of (/ 1 k) in n
18.998 * [taylor]: Taking taylor expansion of k in n
18.998 * [backup-simplify]: Simplify k into k
18.998 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
18.998 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n
18.998 * [taylor]: Taking taylor expansion of (/ 1 n) in n
18.998 * [taylor]: Taking taylor expansion of n in n
18.998 * [backup-simplify]: Simplify 0 into 0
18.998 * [backup-simplify]: Simplify 1 into 1
18.998 * [backup-simplify]: Simplify (/ 1 1) into 1
18.998 * [backup-simplify]: Simplify (log 1) into 0
18.998 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
18.998 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
18.998 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
18.999 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
18.999 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))
18.999 * [backup-simplify]: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))
18.999 * [backup-simplify]: Simplify (* (sqrt (* PI k)) (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (sqrt (* PI k)))
18.999 * [taylor]: Taking taylor expansion of (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (sqrt (* PI k))) in k
18.999 * [taylor]: Taking taylor expansion of (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) in k
18.999 * [taylor]: Taking taylor expansion of (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) in k
18.999 * [taylor]: Taking taylor expansion of -1 in k
18.999 * [backup-simplify]: Simplify -1 into -1
18.999 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log n)) in k
18.999 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
18.999 * [taylor]: Taking taylor expansion of 1/2 in k
18.999 * [backup-simplify]: Simplify 1/2 into 1/2
18.999 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
18.999 * [taylor]: Taking taylor expansion of 1/2 in k
18.999 * [backup-simplify]: Simplify 1/2 into 1/2
18.999 * [taylor]: Taking taylor expansion of (/ 1 k) in k
18.999 * [taylor]: Taking taylor expansion of k in k
18.999 * [backup-simplify]: Simplify 0 into 0
18.999 * [backup-simplify]: Simplify 1 into 1
19.000 * [backup-simplify]: Simplify (/ 1 1) into 1
19.000 * [taylor]: Taking taylor expansion of (log n) in k
19.000 * [taylor]: Taking taylor expansion of n in k
19.000 * [backup-simplify]: Simplify n into n
19.000 * [backup-simplify]: Simplify (log n) into (log n)
19.000 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
19.000 * [backup-simplify]: Simplify (- 1/2) into -1/2
19.000 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
19.001 * [backup-simplify]: Simplify (* -1/2 (log n)) into (* -1/2 (log n))
19.001 * [backup-simplify]: Simplify (* -1 (* -1/2 (log n))) into (* 1/2 (log n))
19.001 * [backup-simplify]: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))
19.001 * [taylor]: Taking taylor expansion of (sqrt (* PI k)) in k
19.001 * [taylor]: Taking taylor expansion of (* PI k) in k
19.001 * [taylor]: Taking taylor expansion of PI in k
19.001 * [backup-simplify]: Simplify PI into PI
19.001 * [taylor]: Taking taylor expansion of k in k
19.001 * [backup-simplify]: Simplify 0 into 0
19.001 * [backup-simplify]: Simplify 1 into 1
19.001 * [backup-simplify]: Simplify (* PI 0) into 0
19.002 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI
19.002 * [backup-simplify]: Simplify (sqrt 0) into 0
19.003 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
19.003 * [backup-simplify]: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 0) into 0
19.003 * [backup-simplify]: Simplify 0 into 0
19.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
19.004 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
19.005 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
19.005 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
19.005 * [backup-simplify]: Simplify (- 0) into 0
19.005 * [backup-simplify]: Simplify (+ 0 0) into 0
19.006 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
19.006 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log n)))) into 0
19.006 * [backup-simplify]: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
19.006 * [backup-simplify]: Simplify (+ (* (sqrt (* PI k)) 0) (* 0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))))) into 0
19.006 * [taylor]: Taking taylor expansion of 0 in k
19.006 * [backup-simplify]: Simplify 0 into 0
19.006 * [backup-simplify]: Simplify 0 into 0
19.007 * [backup-simplify]: Simplify (+ (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) PI)))
19.007 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) PI))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) PI)))
19.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
19.010 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
19.010 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
19.010 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
19.011 * [backup-simplify]: Simplify (- 0) into 0
19.011 * [backup-simplify]: Simplify (+ 0 0) into 0
19.011 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
19.012 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0
19.012 * [backup-simplify]: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
19.013 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 k))) into 0
19.013 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (* PI k)))) into 0
19.014 * [backup-simplify]: Simplify (+ (* (sqrt (* PI k)) 0) (+ (* 0 0) (* 0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))))) into 0
19.014 * [taylor]: Taking taylor expansion of 0 in k
19.014 * [backup-simplify]: Simplify 0 into 0
19.014 * [backup-simplify]: Simplify 0 into 0
19.014 * [backup-simplify]: Simplify 0 into 0
19.014 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0
19.017 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2))
19.018 * [backup-simplify]: Simplify (+ (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI 2))))
19.019 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI 2)))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI 2))))
19.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
19.022 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
19.022 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
19.023 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
19.023 * [backup-simplify]: Simplify (- 0) into 0
19.024 * [backup-simplify]: Simplify (+ 0 0) into 0
19.024 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
19.025 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0
19.026 * [backup-simplify]: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
19.028 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0
19.028 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (* PI k)))) into 0
19.029 * [backup-simplify]: Simplify (+ (* (sqrt (* PI k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))))))) into 0
19.029 * [taylor]: Taking taylor expansion of 0 in k
19.029 * [backup-simplify]: Simplify 0 into 0
19.029 * [backup-simplify]: Simplify 0 into 0
19.030 * [backup-simplify]: Simplify 0 into 0
19.030 * [backup-simplify]: Simplify 0 into 0
19.031 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
19.039 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 PI) (* +nan.0 (pow PI 2)))))) (* 2 0)) into (* +nan.0 (pow PI 3))
19.041 * [backup-simplify]: Simplify (+ (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* +nan.0 (pow PI 3))) (+ (* 0 (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0)))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI 3))))
19.042 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI 3)))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI 3))))
19.043 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (pow PI 3)))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (pow PI 2)))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) PI))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) PI) k)) (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow PI 3)) (pow k 3))) (- (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow PI 2)) (pow k 2))))))))
19.044 * [backup-simplify]: Simplify (/ (pow (/ 1 (- n)) (- 1/2 (/ (/ 1 (- k)) 2))) (/ (sqrt (/ 1 (- k))) (sqrt PI))) into (* (/ (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) (sqrt PI))
19.044 * [approximate]: Taking taylor expansion of (* (/ (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) (sqrt PI)) in (n k) around 0
19.044 * [taylor]: Taking taylor expansion of (* (/ (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) (sqrt PI)) in k
19.044 * [taylor]: Taking taylor expansion of (/ (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k
19.044 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k
19.044 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in k
19.044 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in k
19.044 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
19.044 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
19.044 * [taylor]: Taking taylor expansion of 1/2 in k
19.044 * [backup-simplify]: Simplify 1/2 into 1/2
19.044 * [taylor]: Taking taylor expansion of (/ 1 k) in k
19.044 * [taylor]: Taking taylor expansion of k in k
19.044 * [backup-simplify]: Simplify 0 into 0
19.044 * [backup-simplify]: Simplify 1 into 1
19.044 * [backup-simplify]: Simplify (/ 1 1) into 1
19.044 * [taylor]: Taking taylor expansion of 1/2 in k
19.044 * [backup-simplify]: Simplify 1/2 into 1/2
19.044 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k
19.044 * [taylor]: Taking taylor expansion of (/ -1 n) in k
19.044 * [taylor]: Taking taylor expansion of -1 in k
19.044 * [backup-simplify]: Simplify -1 into -1
19.044 * [taylor]: Taking taylor expansion of n in k
19.044 * [backup-simplify]: Simplify n into n
19.044 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n)
19.044 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n))
19.045 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
19.045 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
19.045 * [backup-simplify]: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n)))
19.045 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) into (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2))
19.045 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
19.045 * [taylor]: Taking taylor expansion of (/ -1 k) in k
19.045 * [taylor]: Taking taylor expansion of -1 in k
19.045 * [backup-simplify]: Simplify -1 into -1
19.045 * [taylor]: Taking taylor expansion of k in k
19.045 * [backup-simplify]: Simplify 0 into 0
19.045 * [backup-simplify]: Simplify 1 into 1
19.045 * [backup-simplify]: Simplify (/ -1 1) into -1
19.046 * [backup-simplify]: Simplify (sqrt 0) into 0
19.047 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
19.047 * [backup-simplify]: Simplify (/ (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) +nan.0) into (* +nan.0 (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)))
19.047 * [taylor]: Taking taylor expansion of (sqrt PI) in k
19.047 * [taylor]: Taking taylor expansion of PI in k
19.047 * [backup-simplify]: Simplify PI into PI
19.047 * [backup-simplify]: Simplify (sqrt PI) into (sqrt PI)
19.048 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt PI))) into 0
19.048 * [taylor]: Taking taylor expansion of (* (/ (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) (sqrt PI)) in n
19.048 * [taylor]: Taking taylor expansion of (/ (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n
19.048 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
19.048 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n
19.048 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n
19.048 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
19.048 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
19.048 * [taylor]: Taking taylor expansion of 1/2 in n
19.048 * [backup-simplify]: Simplify 1/2 into 1/2
19.048 * [taylor]: Taking taylor expansion of (/ 1 k) in n
19.048 * [taylor]: Taking taylor expansion of k in n
19.048 * [backup-simplify]: Simplify k into k
19.048 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
19.048 * [taylor]: Taking taylor expansion of 1/2 in n
19.048 * [backup-simplify]: Simplify 1/2 into 1/2
19.048 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n
19.048 * [taylor]: Taking taylor expansion of (/ -1 n) in n
19.048 * [taylor]: Taking taylor expansion of -1 in n
19.048 * [backup-simplify]: Simplify -1 into -1
19.048 * [taylor]: Taking taylor expansion of n in n
19.048 * [backup-simplify]: Simplify 0 into 0
19.048 * [backup-simplify]: Simplify 1 into 1
19.048 * [backup-simplify]: Simplify (/ -1 1) into -1
19.048 * [backup-simplify]: Simplify (log -1) into (log -1)
19.049 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
19.049 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
19.049 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
19.050 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))
19.050 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))
19.050 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
19.050 * [taylor]: Taking taylor expansion of (/ -1 k) in n
19.050 * [taylor]: Taking taylor expansion of -1 in n
19.050 * [backup-simplify]: Simplify -1 into -1
19.050 * [taylor]: Taking taylor expansion of k in n
19.050 * [backup-simplify]: Simplify k into k
19.050 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
19.050 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
19.050 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
19.050 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
19.051 * [backup-simplify]: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (sqrt (/ -1 k))) into (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (sqrt (/ -1 k)))
19.051 * [taylor]: Taking taylor expansion of (sqrt PI) in n
19.051 * [taylor]: Taking taylor expansion of PI in n
19.051 * [backup-simplify]: Simplify PI into PI
19.051 * [backup-simplify]: Simplify (sqrt PI) into (sqrt PI)
19.051 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt PI))) into 0
19.051 * [taylor]: Taking taylor expansion of (* (/ (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) (sqrt PI)) in n
19.051 * [taylor]: Taking taylor expansion of (/ (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n
19.051 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
19.051 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n
19.051 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n
19.052 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
19.052 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
19.052 * [taylor]: Taking taylor expansion of 1/2 in n
19.052 * [backup-simplify]: Simplify 1/2 into 1/2
19.052 * [taylor]: Taking taylor expansion of (/ 1 k) in n
19.052 * [taylor]: Taking taylor expansion of k in n
19.052 * [backup-simplify]: Simplify k into k
19.052 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
19.052 * [taylor]: Taking taylor expansion of 1/2 in n
19.052 * [backup-simplify]: Simplify 1/2 into 1/2
19.052 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n
19.052 * [taylor]: Taking taylor expansion of (/ -1 n) in n
19.052 * [taylor]: Taking taylor expansion of -1 in n
19.052 * [backup-simplify]: Simplify -1 into -1
19.052 * [taylor]: Taking taylor expansion of n in n
19.052 * [backup-simplify]: Simplify 0 into 0
19.052 * [backup-simplify]: Simplify 1 into 1
19.052 * [backup-simplify]: Simplify (/ -1 1) into -1
19.052 * [backup-simplify]: Simplify (log -1) into (log -1)
19.052 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
19.052 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
19.053 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
19.053 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))
19.054 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))
19.054 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
19.054 * [taylor]: Taking taylor expansion of (/ -1 k) in n
19.054 * [taylor]: Taking taylor expansion of -1 in n
19.054 * [backup-simplify]: Simplify -1 into -1
19.054 * [taylor]: Taking taylor expansion of k in n
19.054 * [backup-simplify]: Simplify k into k
19.054 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
19.054 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
19.054 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
19.054 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
19.054 * [backup-simplify]: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (sqrt (/ -1 k))) into (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (sqrt (/ -1 k)))
19.054 * [taylor]: Taking taylor expansion of (sqrt PI) in n
19.054 * [taylor]: Taking taylor expansion of PI in n
19.054 * [backup-simplify]: Simplify PI into PI
19.054 * [backup-simplify]: Simplify (sqrt PI) into (sqrt PI)
19.055 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt PI))) into 0
19.056 * [backup-simplify]: Simplify (* (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (sqrt (/ -1 k))) (sqrt PI)) into (* (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (sqrt (/ -1 k))) (sqrt PI))
19.056 * [taylor]: Taking taylor expansion of (* (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (sqrt (/ -1 k))) (sqrt PI)) in k
19.056 * [taylor]: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (sqrt (/ -1 k))) in k
19.056 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) in k
19.056 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) in k
19.056 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
19.056 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
19.056 * [taylor]: Taking taylor expansion of 1/2 in k
19.056 * [backup-simplify]: Simplify 1/2 into 1/2
19.056 * [taylor]: Taking taylor expansion of (/ 1 k) in k
19.056 * [taylor]: Taking taylor expansion of k in k
19.056 * [backup-simplify]: Simplify 0 into 0
19.056 * [backup-simplify]: Simplify 1 into 1
19.056 * [backup-simplify]: Simplify (/ 1 1) into 1
19.056 * [taylor]: Taking taylor expansion of 1/2 in k
19.056 * [backup-simplify]: Simplify 1/2 into 1/2
19.056 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k
19.056 * [taylor]: Taking taylor expansion of (log -1) in k
19.056 * [taylor]: Taking taylor expansion of -1 in k
19.056 * [backup-simplify]: Simplify -1 into -1
19.056 * [backup-simplify]: Simplify (log -1) into (log -1)
19.056 * [taylor]: Taking taylor expansion of (log n) in k
19.056 * [taylor]: Taking taylor expansion of n in k
19.056 * [backup-simplify]: Simplify n into n
19.057 * [backup-simplify]: Simplify (log n) into (log n)
19.057 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
19.057 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
19.057 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
19.057 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n))
19.058 * [backup-simplify]: Simplify (* 1/2 (- (log -1) (log n))) into (* 1/2 (- (log -1) (log n)))
19.058 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))
19.058 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
19.058 * [taylor]: Taking taylor expansion of (/ -1 k) in k
19.058 * [taylor]: Taking taylor expansion of -1 in k
19.058 * [backup-simplify]: Simplify -1 into -1
19.058 * [taylor]: Taking taylor expansion of k in k
19.058 * [backup-simplify]: Simplify 0 into 0
19.058 * [backup-simplify]: Simplify 1 into 1
19.058 * [backup-simplify]: Simplify (/ -1 1) into -1
19.059 * [backup-simplify]: Simplify (sqrt 0) into 0
19.059 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
19.060 * [backup-simplify]: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) +nan.0) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))
19.060 * [taylor]: Taking taylor expansion of (sqrt PI) in k
19.060 * [taylor]: Taking taylor expansion of PI in k
19.060 * [backup-simplify]: Simplify PI into PI
19.060 * [backup-simplify]: Simplify (sqrt PI) into (sqrt PI)
19.061 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt PI))) into 0
19.061 * [backup-simplify]: Simplify (* (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) (sqrt PI)) into (* +nan.0 (* (sqrt PI) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))
19.062 * [backup-simplify]: Simplify (* +nan.0 (* (sqrt PI) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) into (* +nan.0 (* (sqrt PI) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))
19.062 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
19.065 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
19.065 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
19.066 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
19.066 * [backup-simplify]: Simplify (+ 0 0) into 0
19.067 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
19.067 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -1) (log n)))) into 0
19.068 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
19.068 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0
19.069 * [backup-simplify]: Simplify (+ (* (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (sqrt (/ -1 k))) 0) (* 0 (sqrt PI))) into 0
19.069 * [taylor]: Taking taylor expansion of 0 in k
19.069 * [backup-simplify]: Simplify 0 into 0
19.069 * [backup-simplify]: Simplify 0 into 0
19.069 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
19.071 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
19.072 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))
19.073 * [backup-simplify]: Simplify (+ (* (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) 0) (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) (sqrt PI))) into (- (* +nan.0 (* (sqrt PI) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))))
19.074 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt PI) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) into (- (* +nan.0 (* (sqrt PI) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))))
19.074 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt PI))) into 0
19.075 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
19.076 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0
19.077 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
19.077 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
19.077 * [backup-simplify]: Simplify (+ 0 0) into 0
19.078 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
19.078 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0
19.079 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
19.080 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
19.080 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
19.080 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0
19.081 * [backup-simplify]: Simplify (+ (* (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (sqrt (/ -1 k))) 0) (+ (* 0 0) (* 0 (sqrt PI)))) into 0
19.081 * [taylor]: Taking taylor expansion of 0 in k
19.081 * [backup-simplify]: Simplify 0 into 0
19.081 * [backup-simplify]: Simplify 0 into 0
19.081 * [backup-simplify]: Simplify 0 into 0
19.082 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt PI))) into 0
19.083 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
19.085 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
19.087 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))
19.088 * [backup-simplify]: Simplify (+ (* (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) 0) (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) 0) (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) (sqrt PI)))) into (- (* +nan.0 (* (sqrt PI) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))))
19.089 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt PI) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) into (- (* +nan.0 (* (sqrt PI) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))))
19.091 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (sqrt PI) (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n))))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (* (sqrt PI) (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n))))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (* (sqrt PI) (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (* (/ (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) k) (sqrt PI))) (- (+ (* +nan.0 (* (/ (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow k 2)) (sqrt PI))) (- (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (sqrt PI))))))))
19.091 * * * [progress]: simplifying candidates
19.091 * * * * [progress]: [ 1 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI 1/2))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.091 * * * * [progress]: [ 2 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (pow (sqrt PI) 1))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.091 * * * * [progress]: [ 3 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (exp (log (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.091 * * * * [progress]: [ 4 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (log (exp (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.091 * * * * [progress]: [ 5 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (* (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (cbrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.091 * * * * [progress]: [ 6 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (cbrt (* (* (sqrt PI) (sqrt PI)) (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.091 * * * * [progress]: [ 7 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (* (sqrt (* (cbrt PI) (cbrt PI))) (sqrt (cbrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.091 * * * * [progress]: [ 8 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (* (sqrt (sqrt PI)) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.091 * * * * [progress]: [ 9 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (* (sqrt 1) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.091 * * * * [progress]: [ 10 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (/ 1 2)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.091 * * * * [progress]: [ 11 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (* (sqrt (sqrt PI)) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.092 * * * * [progress]: [ 12 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (fabs (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.092 * * * * [progress]: [ 13 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (* 1 (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.092 * * * * [progress]: [ 14 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (posit16->real (real->posit16 (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.092 * * * * [progress]: [ 15 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (exp (* (log n) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt PI))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.092 * * * * [progress]: [ 16 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (exp (* (log n) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt PI))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.092 * * * * [progress]: [ 17 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (* 1 (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt PI))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.092 * * * * [progress]: [ 18 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n 1/2) (pow n (/ k 2))) (/ (sqrt k) (sqrt PI))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.092 * * * * [progress]: [ 19 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow n (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt PI))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.092 * * * * [progress]: [ 20 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow n (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt PI))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.092 * * * * [progress]: [ 21 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow n 1) (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt PI))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.092 * * * * [progress]: [ 22 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow n (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (/ (sqrt k) (sqrt PI))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.092 * * * * [progress]: [ 23 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow n (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2)))) (- (sqrt 1/2) (/ (sqrt k) (sqrt 2)))) (/ (sqrt k) (sqrt PI))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.092 * * * * [progress]: [ 24 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow n 1) (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt PI))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.092 * * * * [progress]: [ 25 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (pow n 1/2) (pow n (- (/ k 2)))) (/ (sqrt k) (sqrt PI))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.092 * * * * [progress]: [ 26 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (pow n 1/2) (pow n (- (/ k 2)))) (/ (sqrt k) (sqrt PI))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.092 * * * * [progress]: [ 27 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2))) (pow (cbrt n) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt PI))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.092 * * * * [progress]: [ 28 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (pow (sqrt n) (- 1/2 (/ k 2))) (pow (sqrt n) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt PI))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.092 * * * * [progress]: [ 29 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (pow 1 (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt PI))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.092 * * * * [progress]: [ 30 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow n (- 1/2 (/ k 2))) 1) (/ (sqrt k) (sqrt PI))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.092 * * * * [progress]: [ 31 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (exp (log (pow n (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt PI))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.092 * * * * [progress]: [ 32 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (log (exp (pow n (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt PI))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.092 * * * * [progress]: [ 33 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt PI))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.092 * * * * [progress]: [ 34 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (cbrt (* (* (pow n (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt PI))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.093 * * * * [progress]: [ 35 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt PI))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.093 * * * * [progress]: [ 36 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (* 1 (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt PI))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.093 * * * * [progress]: [ 37 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (pow n (/ (- 1/2 (/ k 2)) 2)) (pow n (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt k) (sqrt PI))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.093 * * * * [progress]: [ 38 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (posit16->real (real->posit16 (pow n (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt PI))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.093 * * * * [progress]: [ 39 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (pow (/ (sqrt k) (sqrt PI)) 1)) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.093 * * * * [progress]: [ 40 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (exp (- (log (sqrt k)) (log (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.093 * * * * [progress]: [ 41 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (exp (log (/ (sqrt k) (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.093 * * * * [progress]: [ 42 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (log (exp (/ (sqrt k) (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.093 * * * * [progress]: [ 43 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (cbrt (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (sqrt PI) (sqrt PI)) (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.093 * * * * [progress]: [ 44 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (* (cbrt (/ (sqrt k) (sqrt PI))) (cbrt (/ (sqrt k) (sqrt PI)))) (cbrt (/ (sqrt k) (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.093 * * * * [progress]: [ 45 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (cbrt (* (* (/ (sqrt k) (sqrt PI)) (/ (sqrt k) (sqrt PI))) (/ (sqrt k) (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.093 * * * * [progress]: [ 46 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (/ k PI))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.093 * * * * [progress]: [ 47 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (sqrt (/ (sqrt k) (sqrt PI))) (sqrt (/ (sqrt k) (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.093 * * * * [progress]: [ 48 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (- (sqrt k)) (- (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.093 * * * * [progress]: [ 49 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (sqrt PI)) (cbrt (sqrt PI)))) (/ (cbrt (sqrt k)) (cbrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.093 * * * * [progress]: [ 50 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (cbrt PI) (cbrt PI)))) (/ (cbrt (sqrt k)) (sqrt (cbrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.093 * * * * [progress]: [ 51 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt PI))) (/ (cbrt (sqrt k)) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.093 * * * * [progress]: [ 52 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt 1)) (/ (cbrt (sqrt k)) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.093 * * * * [progress]: [ 53 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt PI))) (/ (cbrt (sqrt k)) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.093 * * * * [progress]: [ 54 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) (/ (cbrt (sqrt k)) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.093 * * * * [progress]: [ 55 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (sqrt PI)) (cbrt (sqrt PI)))) (/ (sqrt (cbrt k)) (cbrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.093 * * * * [progress]: [ 56 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (* (cbrt PI) (cbrt PI)))) (/ (sqrt (cbrt k)) (sqrt (cbrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.093 * * * * [progress]: [ 57 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (sqrt PI))) (/ (sqrt (cbrt k)) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.094 * * * * [progress]: [ 58 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt 1)) (/ (sqrt (cbrt k)) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.094 * * * * [progress]: [ 59 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (sqrt PI))) (/ (sqrt (cbrt k)) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.094 * * * * [progress]: [ 60 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (/ (sqrt (* (cbrt k) (cbrt k))) 1) (/ (sqrt (cbrt k)) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.094 * * * * [progress]: [ 61 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI)))) (/ (sqrt (sqrt k)) (cbrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.094 * * * * [progress]: [ 62 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (sqrt (* (cbrt PI) (cbrt PI)))) (/ (sqrt (sqrt k)) (sqrt (cbrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.094 * * * * [progress]: [ 63 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (sqrt (sqrt PI))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.094 * * * * [progress]: [ 64 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (sqrt 1)) (/ (sqrt (sqrt k)) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.094 * * * * [progress]: [ 65 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (sqrt (sqrt PI))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.094 * * * * [progress]: [ 66 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) 1) (/ (sqrt (sqrt k)) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.094 * * * * [progress]: [ 67 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (/ (sqrt 1) (* (cbrt (sqrt PI)) (cbrt (sqrt PI)))) (/ (sqrt k) (cbrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.094 * * * * [progress]: [ 68 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (/ (sqrt 1) (sqrt (* (cbrt PI) (cbrt PI)))) (/ (sqrt k) (sqrt (cbrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.094 * * * * [progress]: [ 69 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (/ (sqrt 1) (sqrt (sqrt PI))) (/ (sqrt k) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.094 * * * * [progress]: [ 70 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (/ (sqrt 1) (sqrt 1)) (/ (sqrt k) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.094 * * * * [progress]: [ 71 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (/ (sqrt 1) (sqrt (sqrt PI))) (/ (sqrt k) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.094 * * * * [progress]: [ 72 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (/ (sqrt 1) 1) (/ (sqrt k) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.094 * * * * [progress]: [ 73 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI)))) (/ (sqrt (sqrt k)) (cbrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.094 * * * * [progress]: [ 74 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (sqrt (* (cbrt PI) (cbrt PI)))) (/ (sqrt (sqrt k)) (sqrt (cbrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.094 * * * * [progress]: [ 75 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (sqrt (sqrt PI))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.094 * * * * [progress]: [ 76 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (sqrt 1)) (/ (sqrt (sqrt k)) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.094 * * * * [progress]: [ 77 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (sqrt (sqrt PI))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.094 * * * * [progress]: [ 78 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) 1) (/ (sqrt (sqrt k)) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.094 * * * * [progress]: [ 79 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (/ 1 (* (cbrt (sqrt PI)) (cbrt (sqrt PI)))) (/ (sqrt k) (cbrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.095 * * * * [progress]: [ 80 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (/ 1 (sqrt (* (cbrt PI) (cbrt PI)))) (/ (sqrt k) (sqrt (cbrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.095 * * * * [progress]: [ 81 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (/ 1 (sqrt (sqrt PI))) (/ (sqrt k) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.095 * * * * [progress]: [ 82 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (/ 1 (sqrt 1)) (/ (sqrt k) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.095 * * * * [progress]: [ 83 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (/ 1 (sqrt (sqrt PI))) (/ (sqrt k) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.095 * * * * [progress]: [ 84 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (/ 1 1) (/ (sqrt k) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.095 * * * * [progress]: [ 85 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* 1 (/ (sqrt k) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.095 * * * * [progress]: [ 86 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (sqrt k) (/ 1 (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.095 * * * * [progress]: [ 87 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ 1 (/ (sqrt PI) (sqrt k)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.095 * * * * [progress]: [ 88 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt k) (* (cbrt (sqrt PI)) (cbrt (sqrt PI)))) (cbrt (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.095 * * * * [progress]: [ 89 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt k) (sqrt (* (cbrt PI) (cbrt PI)))) (sqrt (cbrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.095 * * * * [progress]: [ 90 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt k) (sqrt (sqrt PI))) (sqrt (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.095 * * * * [progress]: [ 91 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt k) (sqrt 1)) (sqrt PI))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.095 * * * * [progress]: [ 92 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt k) (sqrt (sqrt PI))) (sqrt (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.095 * * * * [progress]: [ 93 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt k) 1) (sqrt PI))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.095 * * * * [progress]: [ 94 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (sqrt PI) (cbrt (sqrt k))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.095 * * * * [progress]: [ 95 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (/ (sqrt PI) (sqrt (cbrt k))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.095 * * * * [progress]: [ 96 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (/ (sqrt PI) (sqrt (sqrt k))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.095 * * * * [progress]: [ 97 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt 1) (/ (sqrt PI) (sqrt k)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.095 * * * * [progress]: [ 98 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (/ (sqrt PI) (sqrt (sqrt k))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.095 * * * * [progress]: [ 99 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ 1 (/ (sqrt PI) (sqrt k)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.095 * * * * [progress]: [ 100 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (posit16->real (real->posit16 (/ (sqrt k) (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.095 * * * * [progress]: [ 101 / 540 ] simplifiying candidate #<alt (λ (k n) (* (pow (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt PI))) 1) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.096 * * * * [progress]: [ 102 / 540 ] simplifiying candidate #<alt (λ (k n) (* (exp (- (* (log n) (- 1/2 (/ k 2))) (- (log (sqrt k)) (log (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.096 * * * * [progress]: [ 103 / 540 ] simplifiying candidate #<alt (λ (k n) (* (exp (- (* (log n) (- 1/2 (/ k 2))) (log (/ (sqrt k) (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.096 * * * * [progress]: [ 104 / 540 ] simplifiying candidate #<alt (λ (k n) (* (exp (- (* (log n) (- 1/2 (/ k 2))) (- (log (sqrt k)) (log (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.096 * * * * [progress]: [ 105 / 540 ] simplifiying candidate #<alt (λ (k n) (* (exp (- (* (log n) (- 1/2 (/ k 2))) (log (/ (sqrt k) (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.096 * * * * [progress]: [ 106 / 540 ] simplifiying candidate #<alt (λ (k n) (* (exp (- (log (pow n (- 1/2 (/ k 2)))) (- (log (sqrt k)) (log (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.096 * * * * [progress]: [ 107 / 540 ] simplifiying candidate #<alt (λ (k n) (* (exp (- (log (pow n (- 1/2 (/ k 2)))) (log (/ (sqrt k) (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.096 * * * * [progress]: [ 108 / 540 ] simplifiying candidate #<alt (λ (k n) (* (exp (log (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.096 * * * * [progress]: [ 109 / 540 ] simplifiying candidate #<alt (λ (k n) (* (log (exp (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.096 * * * * [progress]: [ 110 / 540 ] simplifiying candidate #<alt (λ (k n) (* (cbrt (/ (* (* (pow n (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (sqrt PI) (sqrt PI)) (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.096 * * * * [progress]: [ 111 / 540 ] simplifiying candidate #<alt (λ (k n) (* (cbrt (/ (* (* (pow n (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (* (* (/ (sqrt k) (sqrt PI)) (/ (sqrt k) (sqrt PI))) (/ (sqrt k) (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.096 * * * * [progress]: [ 112 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (* (cbrt (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt PI)))) (cbrt (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt PI))))) (cbrt (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.096 * * * * [progress]: [ 113 / 540 ] simplifiying candidate #<alt (λ (k n) (* (cbrt (* (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt PI))) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt PI)))) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.096 * * * * [progress]: [ 114 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt PI)))) (sqrt (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.096 * * * * [progress]: [ 115 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (- (pow n (- 1/2 (/ k 2)))) (- (/ (sqrt k) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.096 * * * * [progress]: [ 116 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n 1/2) (* (cbrt (/ (sqrt k) (sqrt PI))) (cbrt (/ (sqrt k) (sqrt PI))))) (/ (pow n (- (/ k 2))) (cbrt (/ (sqrt k) (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.096 * * * * [progress]: [ 117 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n 1/2) (sqrt (/ (sqrt k) (sqrt PI)))) (/ (pow n (- (/ k 2))) (sqrt (/ (sqrt k) (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.096 * * * * [progress]: [ 118 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))))) (/ (pow n (- (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.096 * * * * [progress]: [ 119 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (cbrt PI) (cbrt PI))))) (/ (pow n (- (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (cbrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.096 * * * * [progress]: [ 120 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt PI)))) (/ (pow n (- (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.096 * * * * [progress]: [ 121 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt 1))) (/ (pow n (- (/ k 2))) (/ (cbrt (sqrt k)) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.096 * * * * [progress]: [ 122 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt PI)))) (/ (pow n (- (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.097 * * * * [progress]: [ 123 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (pow n (- (/ k 2))) (/ (cbrt (sqrt k)) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.097 * * * * [progress]: [ 124 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))))) (/ (pow n (- (/ k 2))) (/ (sqrt (cbrt k)) (cbrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.097 * * * * [progress]: [ 125 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (* (cbrt PI) (cbrt PI))))) (/ (pow n (- (/ k 2))) (/ (sqrt (cbrt k)) (sqrt (cbrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.097 * * * * [progress]: [ 126 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (sqrt PI)))) (/ (pow n (- (/ k 2))) (/ (sqrt (cbrt k)) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.097 * * * * [progress]: [ 127 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt 1))) (/ (pow n (- (/ k 2))) (/ (sqrt (cbrt k)) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.097 * * * * [progress]: [ 128 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (sqrt PI)))) (/ (pow n (- (/ k 2))) (/ (sqrt (cbrt k)) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.097 * * * * [progress]: [ 129 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) 1)) (/ (pow n (- (/ k 2))) (/ (sqrt (cbrt k)) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.097 * * * * [progress]: [ 130 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n 1/2) (/ (sqrt (sqrt k)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))))) (/ (pow n (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.097 * * * * [progress]: [ 131 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n 1/2) (/ (sqrt (sqrt k)) (sqrt (* (cbrt PI) (cbrt PI))))) (/ (pow n (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (cbrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.097 * * * * [progress]: [ 132 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n 1/2) (/ (sqrt (sqrt k)) (sqrt (sqrt PI)))) (/ (pow n (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.097 * * * * [progress]: [ 133 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n 1/2) (/ (sqrt (sqrt k)) (sqrt 1))) (/ (pow n (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.097 * * * * [progress]: [ 134 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n 1/2) (/ (sqrt (sqrt k)) (sqrt (sqrt PI)))) (/ (pow n (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.097 * * * * [progress]: [ 135 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n 1/2) (/ (sqrt (sqrt k)) 1)) (/ (pow n (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.097 * * * * [progress]: [ 136 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n 1/2) (/ (sqrt 1) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))))) (/ (pow n (- (/ k 2))) (/ (sqrt k) (cbrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.097 * * * * [progress]: [ 137 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n 1/2) (/ (sqrt 1) (sqrt (* (cbrt PI) (cbrt PI))))) (/ (pow n (- (/ k 2))) (/ (sqrt k) (sqrt (cbrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.097 * * * * [progress]: [ 138 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n 1/2) (/ (sqrt 1) (sqrt (sqrt PI)))) (/ (pow n (- (/ k 2))) (/ (sqrt k) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.097 * * * * [progress]: [ 139 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n 1/2) (/ (sqrt 1) (sqrt 1))) (/ (pow n (- (/ k 2))) (/ (sqrt k) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.097 * * * * [progress]: [ 140 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n 1/2) (/ (sqrt 1) (sqrt (sqrt PI)))) (/ (pow n (- (/ k 2))) (/ (sqrt k) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.097 * * * * [progress]: [ 141 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n 1/2) (/ (sqrt 1) 1)) (/ (pow n (- (/ k 2))) (/ (sqrt k) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.097 * * * * [progress]: [ 142 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n 1/2) (/ (sqrt (sqrt k)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))))) (/ (pow n (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.097 * * * * [progress]: [ 143 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n 1/2) (/ (sqrt (sqrt k)) (sqrt (* (cbrt PI) (cbrt PI))))) (/ (pow n (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (cbrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.098 * * * * [progress]: [ 144 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n 1/2) (/ (sqrt (sqrt k)) (sqrt (sqrt PI)))) (/ (pow n (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.098 * * * * [progress]: [ 145 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n 1/2) (/ (sqrt (sqrt k)) (sqrt 1))) (/ (pow n (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.098 * * * * [progress]: [ 146 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n 1/2) (/ (sqrt (sqrt k)) (sqrt (sqrt PI)))) (/ (pow n (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.098 * * * * [progress]: [ 147 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n 1/2) (/ (sqrt (sqrt k)) 1)) (/ (pow n (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.098 * * * * [progress]: [ 148 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n 1/2) (/ 1 (* (cbrt (sqrt PI)) (cbrt (sqrt PI))))) (/ (pow n (- (/ k 2))) (/ (sqrt k) (cbrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.098 * * * * [progress]: [ 149 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n 1/2) (/ 1 (sqrt (* (cbrt PI) (cbrt PI))))) (/ (pow n (- (/ k 2))) (/ (sqrt k) (sqrt (cbrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.098 * * * * [progress]: [ 150 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n 1/2) (/ 1 (sqrt (sqrt PI)))) (/ (pow n (- (/ k 2))) (/ (sqrt k) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.098 * * * * [progress]: [ 151 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n 1/2) (/ 1 (sqrt 1))) (/ (pow n (- (/ k 2))) (/ (sqrt k) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.098 * * * * [progress]: [ 152 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n 1/2) (/ 1 (sqrt (sqrt PI)))) (/ (pow n (- (/ k 2))) (/ (sqrt k) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.098 * * * * [progress]: [ 153 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n 1/2) (/ 1 1)) (/ (pow n (- (/ k 2))) (/ (sqrt k) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.098 * * * * [progress]: [ 154 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n 1/2) 1) (/ (pow n (- (/ k 2))) (/ (sqrt k) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.098 * * * * [progress]: [ 155 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n 1/2) (sqrt k)) (/ (pow n (- (/ k 2))) (/ 1 (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.098 * * * * [progress]: [ 156 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n 1/2) (* (cbrt (/ (sqrt k) (sqrt PI))) (cbrt (/ (sqrt k) (sqrt PI))))) (/ (pow n (- (/ k 2))) (cbrt (/ (sqrt k) (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.098 * * * * [progress]: [ 157 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n 1/2) (sqrt (/ (sqrt k) (sqrt PI)))) (/ (pow n (- (/ k 2))) (sqrt (/ (sqrt k) (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.098 * * * * [progress]: [ 158 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))))) (/ (pow n (- (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.098 * * * * [progress]: [ 159 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (cbrt PI) (cbrt PI))))) (/ (pow n (- (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (cbrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.098 * * * * [progress]: [ 160 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt PI)))) (/ (pow n (- (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.098 * * * * [progress]: [ 161 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt 1))) (/ (pow n (- (/ k 2))) (/ (cbrt (sqrt k)) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.098 * * * * [progress]: [ 162 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt PI)))) (/ (pow n (- (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.098 * * * * [progress]: [ 163 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (pow n (- (/ k 2))) (/ (cbrt (sqrt k)) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.098 * * * * [progress]: [ 164 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))))) (/ (pow n (- (/ k 2))) (/ (sqrt (cbrt k)) (cbrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.099 * * * * [progress]: [ 165 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (* (cbrt PI) (cbrt PI))))) (/ (pow n (- (/ k 2))) (/ (sqrt (cbrt k)) (sqrt (cbrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.099 * * * * [progress]: [ 166 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (sqrt PI)))) (/ (pow n (- (/ k 2))) (/ (sqrt (cbrt k)) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.099 * * * * [progress]: [ 167 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt 1))) (/ (pow n (- (/ k 2))) (/ (sqrt (cbrt k)) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.099 * * * * [progress]: [ 168 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (sqrt PI)))) (/ (pow n (- (/ k 2))) (/ (sqrt (cbrt k)) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.099 * * * * [progress]: [ 169 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) 1)) (/ (pow n (- (/ k 2))) (/ (sqrt (cbrt k)) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.099 * * * * [progress]: [ 170 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n 1/2) (/ (sqrt (sqrt k)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))))) (/ (pow n (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.099 * * * * [progress]: [ 171 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n 1/2) (/ (sqrt (sqrt k)) (sqrt (* (cbrt PI) (cbrt PI))))) (/ (pow n (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (cbrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.099 * * * * [progress]: [ 172 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n 1/2) (/ (sqrt (sqrt k)) (sqrt (sqrt PI)))) (/ (pow n (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.099 * * * * [progress]: [ 173 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n 1/2) (/ (sqrt (sqrt k)) (sqrt 1))) (/ (pow n (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.099 * * * * [progress]: [ 174 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n 1/2) (/ (sqrt (sqrt k)) (sqrt (sqrt PI)))) (/ (pow n (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.099 * * * * [progress]: [ 175 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n 1/2) (/ (sqrt (sqrt k)) 1)) (/ (pow n (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.099 * * * * [progress]: [ 176 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n 1/2) (/ (sqrt 1) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))))) (/ (pow n (- (/ k 2))) (/ (sqrt k) (cbrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.099 * * * * [progress]: [ 177 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n 1/2) (/ (sqrt 1) (sqrt (* (cbrt PI) (cbrt PI))))) (/ (pow n (- (/ k 2))) (/ (sqrt k) (sqrt (cbrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.099 * * * * [progress]: [ 178 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n 1/2) (/ (sqrt 1) (sqrt (sqrt PI)))) (/ (pow n (- (/ k 2))) (/ (sqrt k) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.099 * * * * [progress]: [ 179 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n 1/2) (/ (sqrt 1) (sqrt 1))) (/ (pow n (- (/ k 2))) (/ (sqrt k) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.099 * * * * [progress]: [ 180 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n 1/2) (/ (sqrt 1) (sqrt (sqrt PI)))) (/ (pow n (- (/ k 2))) (/ (sqrt k) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.099 * * * * [progress]: [ 181 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n 1/2) (/ (sqrt 1) 1)) (/ (pow n (- (/ k 2))) (/ (sqrt k) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.099 * * * * [progress]: [ 182 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n 1/2) (/ (sqrt (sqrt k)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))))) (/ (pow n (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.100 * * * * [progress]: [ 183 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n 1/2) (/ (sqrt (sqrt k)) (sqrt (* (cbrt PI) (cbrt PI))))) (/ (pow n (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (cbrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.100 * * * * [progress]: [ 184 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n 1/2) (/ (sqrt (sqrt k)) (sqrt (sqrt PI)))) (/ (pow n (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.100 * * * * [progress]: [ 185 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n 1/2) (/ (sqrt (sqrt k)) (sqrt 1))) (/ (pow n (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.100 * * * * [progress]: [ 186 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n 1/2) (/ (sqrt (sqrt k)) (sqrt (sqrt PI)))) (/ (pow n (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.100 * * * * [progress]: [ 187 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n 1/2) (/ (sqrt (sqrt k)) 1)) (/ (pow n (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.100 * * * * [progress]: [ 188 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n 1/2) (/ 1 (* (cbrt (sqrt PI)) (cbrt (sqrt PI))))) (/ (pow n (- (/ k 2))) (/ (sqrt k) (cbrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.100 * * * * [progress]: [ 189 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n 1/2) (/ 1 (sqrt (* (cbrt PI) (cbrt PI))))) (/ (pow n (- (/ k 2))) (/ (sqrt k) (sqrt (cbrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.100 * * * * [progress]: [ 190 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n 1/2) (/ 1 (sqrt (sqrt PI)))) (/ (pow n (- (/ k 2))) (/ (sqrt k) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.100 * * * * [progress]: [ 191 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n 1/2) (/ 1 (sqrt 1))) (/ (pow n (- (/ k 2))) (/ (sqrt k) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.100 * * * * [progress]: [ 192 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n 1/2) (/ 1 (sqrt (sqrt PI)))) (/ (pow n (- (/ k 2))) (/ (sqrt k) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.100 * * * * [progress]: [ 193 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n 1/2) (/ 1 1)) (/ (pow n (- (/ k 2))) (/ (sqrt k) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.100 * * * * [progress]: [ 194 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n 1/2) 1) (/ (pow n (- (/ k 2))) (/ (sqrt k) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.100 * * * * [progress]: [ 195 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n 1/2) (sqrt k)) (/ (pow n (- (/ k 2))) (/ 1 (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.100 * * * * [progress]: [ 196 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2))) (* (cbrt (/ (sqrt k) (sqrt PI))) (cbrt (/ (sqrt k) (sqrt PI))))) (/ (pow (cbrt n) (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.100 * * * * [progress]: [ 197 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (sqrt PI)))) (/ (pow (cbrt n) (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.100 * * * * [progress]: [ 198 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))))) (/ (pow (cbrt n) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.100 * * * * [progress]: [ 199 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (cbrt PI) (cbrt PI))))) (/ (pow (cbrt n) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (cbrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.100 * * * * [progress]: [ 200 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt PI)))) (/ (pow (cbrt n) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.100 * * * * [progress]: [ 201 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt 1))) (/ (pow (cbrt n) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.100 * * * * [progress]: [ 202 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt PI)))) (/ (pow (cbrt n) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.100 * * * * [progress]: [ 203 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (pow (cbrt n) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.101 * * * * [progress]: [ 204 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))))) (/ (pow (cbrt n) (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (cbrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.101 * * * * [progress]: [ 205 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (* (cbrt PI) (cbrt PI))))) (/ (pow (cbrt n) (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (sqrt (cbrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.101 * * * * [progress]: [ 206 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (sqrt PI)))) (/ (pow (cbrt n) (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.101 * * * * [progress]: [ 207 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt 1))) (/ (pow (cbrt n) (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.101 * * * * [progress]: [ 208 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (sqrt PI)))) (/ (pow (cbrt n) (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.101 * * * * [progress]: [ 209 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) 1)) (/ (pow (cbrt n) (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.101 * * * * [progress]: [ 210 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))))) (/ (pow (cbrt n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.101 * * * * [progress]: [ 211 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (* (cbrt PI) (cbrt PI))))) (/ (pow (cbrt n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (cbrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.101 * * * * [progress]: [ 212 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI)))) (/ (pow (cbrt n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.101 * * * * [progress]: [ 213 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt 1))) (/ (pow (cbrt n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.101 * * * * [progress]: [ 214 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI)))) (/ (pow (cbrt n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.101 * * * * [progress]: [ 215 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) 1)) (/ (pow (cbrt n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.101 * * * * [progress]: [ 216 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2))) (/ (sqrt 1) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))))) (/ (pow (cbrt n) (- 1/2 (/ k 2))) (/ (sqrt k) (cbrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.101 * * * * [progress]: [ 217 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2))) (/ (sqrt 1) (sqrt (* (cbrt PI) (cbrt PI))))) (/ (pow (cbrt n) (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (cbrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.101 * * * * [progress]: [ 218 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2))) (/ (sqrt 1) (sqrt (sqrt PI)))) (/ (pow (cbrt n) (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.101 * * * * [progress]: [ 219 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2))) (/ (sqrt 1) (sqrt 1))) (/ (pow (cbrt n) (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.101 * * * * [progress]: [ 220 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2))) (/ (sqrt 1) (sqrt (sqrt PI)))) (/ (pow (cbrt n) (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.101 * * * * [progress]: [ 221 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2))) (/ (sqrt 1) 1)) (/ (pow (cbrt n) (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.101 * * * * [progress]: [ 222 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))))) (/ (pow (cbrt n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.101 * * * * [progress]: [ 223 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (* (cbrt PI) (cbrt PI))))) (/ (pow (cbrt n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (cbrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.101 * * * * [progress]: [ 224 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI)))) (/ (pow (cbrt n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.102 * * * * [progress]: [ 225 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt 1))) (/ (pow (cbrt n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.102 * * * * [progress]: [ 226 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI)))) (/ (pow (cbrt n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.102 * * * * [progress]: [ 227 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) 1)) (/ (pow (cbrt n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.102 * * * * [progress]: [ 228 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2))) (/ 1 (* (cbrt (sqrt PI)) (cbrt (sqrt PI))))) (/ (pow (cbrt n) (- 1/2 (/ k 2))) (/ (sqrt k) (cbrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.102 * * * * [progress]: [ 229 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2))) (/ 1 (sqrt (* (cbrt PI) (cbrt PI))))) (/ (pow (cbrt n) (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (cbrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.102 * * * * [progress]: [ 230 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2))) (/ 1 (sqrt (sqrt PI)))) (/ (pow (cbrt n) (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.102 * * * * [progress]: [ 231 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2))) (/ 1 (sqrt 1))) (/ (pow (cbrt n) (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.102 * * * * [progress]: [ 232 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2))) (/ 1 (sqrt (sqrt PI)))) (/ (pow (cbrt n) (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.102 * * * * [progress]: [ 233 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2))) (/ 1 1)) (/ (pow (cbrt n) (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.102 * * * * [progress]: [ 234 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2))) 1) (/ (pow (cbrt n) (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.102 * * * * [progress]: [ 235 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (cbrt n) (- 1/2 (/ k 2))) (/ 1 (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.102 * * * * [progress]: [ 236 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (sqrt n) (- 1/2 (/ k 2))) (* (cbrt (/ (sqrt k) (sqrt PI))) (cbrt (/ (sqrt k) (sqrt PI))))) (/ (pow (sqrt n) (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.102 * * * * [progress]: [ 237 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (sqrt n) (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (sqrt PI)))) (/ (pow (sqrt n) (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.102 * * * * [progress]: [ 238 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))))) (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.102 * * * * [progress]: [ 239 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (cbrt PI) (cbrt PI))))) (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (cbrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.102 * * * * [progress]: [ 240 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt PI)))) (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.102 * * * * [progress]: [ 241 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt 1))) (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.102 * * * * [progress]: [ 242 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt PI)))) (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.102 * * * * [progress]: [ 243 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.102 * * * * [progress]: [ 244 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))))) (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (cbrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.102 * * * * [progress]: [ 245 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (* (cbrt PI) (cbrt PI))))) (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (sqrt (cbrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.103 * * * * [progress]: [ 246 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (sqrt PI)))) (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.103 * * * * [progress]: [ 247 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt 1))) (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.103 * * * * [progress]: [ 248 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (sqrt PI)))) (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.103 * * * * [progress]: [ 249 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) 1)) (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.103 * * * * [progress]: [ 250 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))))) (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.103 * * * * [progress]: [ 251 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (* (cbrt PI) (cbrt PI))))) (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (cbrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.103 * * * * [progress]: [ 252 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI)))) (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.103 * * * * [progress]: [ 253 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt 1))) (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.103 * * * * [progress]: [ 254 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI)))) (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.103 * * * * [progress]: [ 255 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) 1)) (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.103 * * * * [progress]: [ 256 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (sqrt 1) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))))) (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (sqrt k) (cbrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.103 * * * * [progress]: [ 257 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (sqrt 1) (sqrt (* (cbrt PI) (cbrt PI))))) (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (cbrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.103 * * * * [progress]: [ 258 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (sqrt 1) (sqrt (sqrt PI)))) (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.103 * * * * [progress]: [ 259 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (sqrt 1) (sqrt 1))) (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.103 * * * * [progress]: [ 260 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (sqrt 1) (sqrt (sqrt PI)))) (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.103 * * * * [progress]: [ 261 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (sqrt 1) 1)) (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.103 * * * * [progress]: [ 262 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))))) (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.103 * * * * [progress]: [ 263 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (* (cbrt PI) (cbrt PI))))) (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (cbrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.103 * * * * [progress]: [ 264 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI)))) (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.103 * * * * [progress]: [ 265 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt 1))) (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.103 * * * * [progress]: [ 266 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI)))) (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.103 * * * * [progress]: [ 267 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) 1)) (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.104 * * * * [progress]: [ 268 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ 1 (* (cbrt (sqrt PI)) (cbrt (sqrt PI))))) (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (sqrt k) (cbrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.104 * * * * [progress]: [ 269 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ 1 (sqrt (* (cbrt PI) (cbrt PI))))) (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (cbrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.104 * * * * [progress]: [ 270 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ 1 (sqrt (sqrt PI)))) (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.104 * * * * [progress]: [ 271 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ 1 (sqrt 1))) (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.104 * * * * [progress]: [ 272 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ 1 (sqrt (sqrt PI)))) (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.104 * * * * [progress]: [ 273 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ 1 1)) (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.104 * * * * [progress]: [ 274 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (sqrt n) (- 1/2 (/ k 2))) 1) (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.104 * * * * [progress]: [ 275 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (sqrt n) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ 1 (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.104 * * * * [progress]: [ 276 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow 1 (- 1/2 (/ k 2))) (* (cbrt (/ (sqrt k) (sqrt PI))) (cbrt (/ (sqrt k) (sqrt PI))))) (/ (pow n (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.104 * * * * [progress]: [ 277 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow 1 (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (sqrt PI)))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.104 * * * * [progress]: [ 278 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow 1 (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))))) (/ (pow n (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.104 * * * * [progress]: [ 279 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow 1 (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (cbrt PI) (cbrt PI))))) (/ (pow n (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (cbrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.104 * * * * [progress]: [ 280 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow 1 (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt PI)))) (/ (pow n (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.104 * * * * [progress]: [ 281 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow 1 (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt 1))) (/ (pow n (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.104 * * * * [progress]: [ 282 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow 1 (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt PI)))) (/ (pow n (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.104 * * * * [progress]: [ 283 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow 1 (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (pow n (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.104 * * * * [progress]: [ 284 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow 1 (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))))) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (cbrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.104 * * * * [progress]: [ 285 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow 1 (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (* (cbrt PI) (cbrt PI))))) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (sqrt (cbrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.104 * * * * [progress]: [ 286 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow 1 (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (sqrt PI)))) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.104 * * * * [progress]: [ 287 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow 1 (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt 1))) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.104 * * * * [progress]: [ 288 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow 1 (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (sqrt PI)))) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.105 * * * * [progress]: [ 289 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow 1 (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) 1)) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.105 * * * * [progress]: [ 290 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow 1 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))))) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.105 * * * * [progress]: [ 291 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow 1 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (* (cbrt PI) (cbrt PI))))) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (cbrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.105 * * * * [progress]: [ 292 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow 1 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI)))) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.105 * * * * [progress]: [ 293 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow 1 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt 1))) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.105 * * * * [progress]: [ 294 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow 1 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI)))) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.105 * * * * [progress]: [ 295 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow 1 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) 1)) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.105 * * * * [progress]: [ 296 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow 1 (- 1/2 (/ k 2))) (/ (sqrt 1) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))))) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (cbrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.105 * * * * [progress]: [ 297 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow 1 (- 1/2 (/ k 2))) (/ (sqrt 1) (sqrt (* (cbrt PI) (cbrt PI))))) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (cbrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.105 * * * * [progress]: [ 298 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow 1 (- 1/2 (/ k 2))) (/ (sqrt 1) (sqrt (sqrt PI)))) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.105 * * * * [progress]: [ 299 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow 1 (- 1/2 (/ k 2))) (/ (sqrt 1) (sqrt 1))) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.105 * * * * [progress]: [ 300 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow 1 (- 1/2 (/ k 2))) (/ (sqrt 1) (sqrt (sqrt PI)))) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.105 * * * * [progress]: [ 301 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow 1 (- 1/2 (/ k 2))) (/ (sqrt 1) 1)) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.105 * * * * [progress]: [ 302 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow 1 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))))) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.105 * * * * [progress]: [ 303 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow 1 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (* (cbrt PI) (cbrt PI))))) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (cbrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.105 * * * * [progress]: [ 304 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow 1 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI)))) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.105 * * * * [progress]: [ 305 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow 1 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt 1))) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.105 * * * * [progress]: [ 306 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow 1 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI)))) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.105 * * * * [progress]: [ 307 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow 1 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) 1)) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.105 * * * * [progress]: [ 308 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow 1 (- 1/2 (/ k 2))) (/ 1 (* (cbrt (sqrt PI)) (cbrt (sqrt PI))))) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (cbrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.105 * * * * [progress]: [ 309 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow 1 (- 1/2 (/ k 2))) (/ 1 (sqrt (* (cbrt PI) (cbrt PI))))) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (cbrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.106 * * * * [progress]: [ 310 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow 1 (- 1/2 (/ k 2))) (/ 1 (sqrt (sqrt PI)))) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.106 * * * * [progress]: [ 311 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow 1 (- 1/2 (/ k 2))) (/ 1 (sqrt 1))) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.106 * * * * [progress]: [ 312 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow 1 (- 1/2 (/ k 2))) (/ 1 (sqrt (sqrt PI)))) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.106 * * * * [progress]: [ 313 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow 1 (- 1/2 (/ k 2))) (/ 1 1)) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.106 * * * * [progress]: [ 314 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow 1 (- 1/2 (/ k 2))) 1) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.106 * * * * [progress]: [ 315 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow 1 (- 1/2 (/ k 2))) (sqrt k)) (/ (pow n (- 1/2 (/ k 2))) (/ 1 (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.106 * * * * [progress]: [ 316 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (/ (sqrt k) (sqrt PI))) (cbrt (/ (sqrt k) (sqrt PI))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.106 * * * * [progress]: [ 317 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (sqrt PI)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.106 * * * * [progress]: [ 318 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.106 * * * * [progress]: [ 319 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (cbrt PI) (cbrt PI))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (cbrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.106 * * * * [progress]: [ 320 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt PI)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.106 * * * * [progress]: [ 321 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt 1))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.106 * * * * [progress]: [ 322 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt PI)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.106 * * * * [progress]: [ 323 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.106 * * * * [progress]: [ 324 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (cbrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.106 * * * * [progress]: [ 325 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (* (cbrt PI) (cbrt PI))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (sqrt (cbrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.106 * * * * [progress]: [ 326 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (sqrt PI)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.106 * * * * [progress]: [ 327 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt 1))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.106 * * * * [progress]: [ 328 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (sqrt PI)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.106 * * * * [progress]: [ 329 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt k) (cbrt k))) 1)) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.106 * * * * [progress]: [ 330 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.107 * * * * [progress]: [ 331 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* (cbrt PI) (cbrt PI))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (cbrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.107 * * * * [progress]: [ 332 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.107 * * * * [progress]: [ 333 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt 1))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.107 * * * * [progress]: [ 334 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.107 * * * * [progress]: [ 335 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) 1)) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.107 * * * * [progress]: [ 336 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt 1) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.107 * * * * [progress]: [ 337 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt 1) (sqrt (* (cbrt PI) (cbrt PI))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (cbrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.107 * * * * [progress]: [ 338 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt 1) (sqrt (sqrt PI)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.107 * * * * [progress]: [ 339 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt 1) (sqrt 1))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.107 * * * * [progress]: [ 340 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt 1) (sqrt (sqrt PI)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.107 * * * * [progress]: [ 341 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt 1) 1)) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.107 * * * * [progress]: [ 342 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.107 * * * * [progress]: [ 343 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* (cbrt PI) (cbrt PI))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (cbrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.107 * * * * [progress]: [ 344 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.107 * * * * [progress]: [ 345 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt 1))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.107 * * * * [progress]: [ 346 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.107 * * * * [progress]: [ 347 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) 1)) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.107 * * * * [progress]: [ 348 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ 1 (* (cbrt (sqrt PI)) (cbrt (sqrt PI))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.107 * * * * [progress]: [ 349 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ 1 (sqrt (* (cbrt PI) (cbrt PI))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (cbrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.107 * * * * [progress]: [ 350 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ 1 (sqrt (sqrt PI)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.107 * * * * [progress]: [ 351 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ 1 (sqrt 1))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.107 * * * * [progress]: [ 352 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ 1 (sqrt (sqrt PI)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.108 * * * * [progress]: [ 353 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ 1 1)) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.108 * * * * [progress]: [ 354 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) 1) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.108 * * * * [progress]: [ 355 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (sqrt k)) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ 1 (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.108 * * * * [progress]: [ 356 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (* (cbrt (/ (sqrt k) (sqrt PI))) (cbrt (/ (sqrt k) (sqrt PI))))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.108 * * * * [progress]: [ 357 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (sqrt PI)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.108 * * * * [progress]: [ 358 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.108 * * * * [progress]: [ 359 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (cbrt PI) (cbrt PI))))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (cbrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.108 * * * * [progress]: [ 360 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt PI)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.108 * * * * [progress]: [ 361 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt 1))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.108 * * * * [progress]: [ 362 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt PI)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.108 * * * * [progress]: [ 363 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.108 * * * * [progress]: [ 364 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (cbrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.108 * * * * [progress]: [ 365 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (* (cbrt PI) (cbrt PI))))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (sqrt (cbrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.108 * * * * [progress]: [ 366 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (sqrt PI)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.108 * * * * [progress]: [ 367 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt 1))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.108 * * * * [progress]: [ 368 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (sqrt PI)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.108 * * * * [progress]: [ 369 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (* (cbrt k) (cbrt k))) 1)) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.108 * * * * [progress]: [ 370 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.108 * * * * [progress]: [ 371 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* (cbrt PI) (cbrt PI))))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (cbrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.108 * * * * [progress]: [ 372 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.108 * * * * [progress]: [ 373 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt 1))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.109 * * * * [progress]: [ 374 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.109 * * * * [progress]: [ 375 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) 1)) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.109 * * * * [progress]: [ 376 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt 1) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.109 * * * * [progress]: [ 377 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt 1) (sqrt (* (cbrt PI) (cbrt PI))))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (cbrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.109 * * * * [progress]: [ 378 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt 1) (sqrt (sqrt PI)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.109 * * * * [progress]: [ 379 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt 1) (sqrt 1))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.109 * * * * [progress]: [ 380 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt 1) (sqrt (sqrt PI)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.109 * * * * [progress]: [ 381 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt 1) 1)) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.109 * * * * [progress]: [ 382 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.109 * * * * [progress]: [ 383 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* (cbrt PI) (cbrt PI))))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (cbrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.109 * * * * [progress]: [ 384 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.109 * * * * [progress]: [ 385 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt 1))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.109 * * * * [progress]: [ 386 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.109 * * * * [progress]: [ 387 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) 1)) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.109 * * * * [progress]: [ 388 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ 1 (* (cbrt (sqrt PI)) (cbrt (sqrt PI))))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.109 * * * * [progress]: [ 389 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ 1 (sqrt (* (cbrt PI) (cbrt PI))))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (cbrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.109 * * * * [progress]: [ 390 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ 1 (sqrt (sqrt PI)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.109 * * * * [progress]: [ 391 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ 1 (sqrt 1))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.109 * * * * [progress]: [ 392 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ 1 (sqrt (sqrt PI)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.109 * * * * [progress]: [ 393 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ 1 1)) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.109 * * * * [progress]: [ 394 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.110 * * * * [progress]: [ 395 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt k)) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ 1 (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.110 * * * * [progress]: [ 396 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (* (cbrt (/ (sqrt k) (sqrt PI))) (cbrt (/ (sqrt k) (sqrt PI))))) (/ (pow n (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.110 * * * * [progress]: [ 397 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt (/ (sqrt k) (sqrt PI)))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.110 * * * * [progress]: [ 398 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))))) (/ (pow n (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.110 * * * * [progress]: [ 399 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (cbrt PI) (cbrt PI))))) (/ (pow n (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (cbrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.110 * * * * [progress]: [ 400 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt PI)))) (/ (pow n (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.110 * * * * [progress]: [ 401 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt 1))) (/ (pow n (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.110 * * * * [progress]: [ 402 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt PI)))) (/ (pow n (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.110 * * * * [progress]: [ 403 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (pow n (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.110 * * * * [progress]: [ 404 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))))) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (cbrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.110 * * * * [progress]: [ 405 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (* (cbrt PI) (cbrt PI))))) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (sqrt (cbrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.110 * * * * [progress]: [ 406 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (sqrt PI)))) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.110 * * * * [progress]: [ 407 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt 1))) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.110 * * * * [progress]: [ 408 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (sqrt PI)))) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.110 * * * * [progress]: [ 409 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) 1)) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.110 * * * * [progress]: [ 410 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))))) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.110 * * * * [progress]: [ 411 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (/ (sqrt (sqrt k)) (sqrt (* (cbrt PI) (cbrt PI))))) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (cbrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.110 * * * * [progress]: [ 412 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (/ (sqrt (sqrt k)) (sqrt (sqrt PI)))) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.110 * * * * [progress]: [ 413 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (/ (sqrt (sqrt k)) (sqrt 1))) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.110 * * * * [progress]: [ 414 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (/ (sqrt (sqrt k)) (sqrt (sqrt PI)))) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.110 * * * * [progress]: [ 415 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (/ (sqrt (sqrt k)) 1)) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.110 * * * * [progress]: [ 416 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (/ (sqrt 1) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))))) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (cbrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.111 * * * * [progress]: [ 417 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (/ (sqrt 1) (sqrt (* (cbrt PI) (cbrt PI))))) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (cbrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.111 * * * * [progress]: [ 418 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (/ (sqrt 1) (sqrt (sqrt PI)))) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.111 * * * * [progress]: [ 419 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (/ (sqrt 1) (sqrt 1))) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.111 * * * * [progress]: [ 420 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (/ (sqrt 1) (sqrt (sqrt PI)))) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.111 * * * * [progress]: [ 421 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (/ (sqrt 1) 1)) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.111 * * * * [progress]: [ 422 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))))) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.111 * * * * [progress]: [ 423 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (/ (sqrt (sqrt k)) (sqrt (* (cbrt PI) (cbrt PI))))) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (cbrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.111 * * * * [progress]: [ 424 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (/ (sqrt (sqrt k)) (sqrt (sqrt PI)))) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.111 * * * * [progress]: [ 425 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (/ (sqrt (sqrt k)) (sqrt 1))) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.111 * * * * [progress]: [ 426 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (/ (sqrt (sqrt k)) (sqrt (sqrt PI)))) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.111 * * * * [progress]: [ 427 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (/ (sqrt (sqrt k)) 1)) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.111 * * * * [progress]: [ 428 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (/ 1 (* (cbrt (sqrt PI)) (cbrt (sqrt PI))))) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (cbrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.111 * * * * [progress]: [ 429 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (/ 1 (sqrt (* (cbrt PI) (cbrt PI))))) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (cbrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.111 * * * * [progress]: [ 430 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (/ 1 (sqrt (sqrt PI)))) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.111 * * * * [progress]: [ 431 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (/ 1 (sqrt 1))) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.111 * * * * [progress]: [ 432 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (/ 1 (sqrt (sqrt PI)))) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.111 * * * * [progress]: [ 433 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (/ 1 1)) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.111 * * * * [progress]: [ 434 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 1) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.111 * * * * [progress]: [ 435 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (/ (pow n (- 1/2 (/ k 2))) (/ 1 (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.111 * * * * [progress]: [ 436 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (* (cbrt (/ (sqrt k) (sqrt PI))) (cbrt (/ (sqrt k) (sqrt PI))))) (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (cbrt (/ (sqrt k) (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.111 * * * * [progress]: [ 437 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (sqrt (/ (sqrt k) (sqrt PI)))) (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (sqrt (/ (sqrt k) (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.111 * * * * [progress]: [ 438 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))))) (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (cbrt (sqrt k)) (cbrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.112 * * * * [progress]: [ 439 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (cbrt PI) (cbrt PI))))) (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (cbrt (sqrt k)) (sqrt (cbrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.112 * * * * [progress]: [ 440 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt PI)))) (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (cbrt (sqrt k)) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.112 * * * * [progress]: [ 441 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt 1))) (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (cbrt (sqrt k)) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.112 * * * * [progress]: [ 442 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt PI)))) (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (cbrt (sqrt k)) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.112 * * * * [progress]: [ 443 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (cbrt (sqrt k)) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.112 * * * * [progress]: [ 444 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))))) (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (cbrt k)) (cbrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.112 * * * * [progress]: [ 445 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (* (cbrt PI) (cbrt PI))))) (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (cbrt k)) (sqrt (cbrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.112 * * * * [progress]: [ 446 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (sqrt PI)))) (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (cbrt k)) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.112 * * * * [progress]: [ 447 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt 1))) (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (cbrt k)) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.112 * * * * [progress]: [ 448 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (sqrt PI)))) (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (cbrt k)) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.112 * * * * [progress]: [ 449 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) 1)) (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (cbrt k)) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.112 * * * * [progress]: [ 450 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))))) (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (cbrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.112 * * * * [progress]: [ 451 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (sqrt (* (cbrt PI) (cbrt PI))))) (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (sqrt (cbrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.112 * * * * [progress]: [ 452 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (sqrt (sqrt PI)))) (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.112 * * * * [progress]: [ 453 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (sqrt 1))) (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.112 * * * * [progress]: [ 454 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (sqrt (sqrt PI)))) (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.112 * * * * [progress]: [ 455 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) 1)) (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.112 * * * * [progress]: [ 456 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt 1) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))))) (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (cbrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.112 * * * * [progress]: [ 457 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt 1) (sqrt (* (cbrt PI) (cbrt PI))))) (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (sqrt (cbrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.112 * * * * [progress]: [ 458 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt 1) (sqrt (sqrt PI)))) (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.112 * * * * [progress]: [ 459 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt 1) (sqrt 1))) (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.113 * * * * [progress]: [ 460 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt 1) (sqrt (sqrt PI)))) (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.113 * * * * [progress]: [ 461 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt 1) 1)) (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.113 * * * * [progress]: [ 462 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))))) (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (cbrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.113 * * * * [progress]: [ 463 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (sqrt (* (cbrt PI) (cbrt PI))))) (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (sqrt (cbrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.113 * * * * [progress]: [ 464 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (sqrt (sqrt PI)))) (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.113 * * * * [progress]: [ 465 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (sqrt 1))) (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.113 * * * * [progress]: [ 466 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (sqrt (sqrt PI)))) (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.113 * * * * [progress]: [ 467 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) 1)) (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.113 * * * * [progress]: [ 468 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ 1 (* (cbrt (sqrt PI)) (cbrt (sqrt PI))))) (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (cbrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.113 * * * * [progress]: [ 469 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ 1 (sqrt (* (cbrt PI) (cbrt PI))))) (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (sqrt (cbrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.113 * * * * [progress]: [ 470 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ 1 (sqrt (sqrt PI)))) (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.113 * * * * [progress]: [ 471 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ 1 (sqrt 1))) (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.113 * * * * [progress]: [ 472 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ 1 (sqrt (sqrt PI)))) (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (sqrt (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.113 * * * * [progress]: [ 473 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ 1 1)) (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.113 * * * * [progress]: [ 474 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n (/ (- 1/2 (/ k 2)) 2)) 1) (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.113 * * * * [progress]: [ 475 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (sqrt k)) (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ 1 (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.113 * * * * [progress]: [ 476 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* 1 (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.114 * * * * [progress]: [ 477 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ 1 (/ (sqrt k) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.114 * * * * [progress]: [ 478 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (/ (sqrt k) (sqrt PI)) (pow n (- 1/2 (/ k 2))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.114 * * * * [progress]: [ 479 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (/ (sqrt k) (sqrt PI))) (cbrt (/ (sqrt k) (sqrt PI))))) (cbrt (/ (sqrt k) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.114 * * * * [progress]: [ 480 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (sqrt PI)))) (sqrt (/ (sqrt k) (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.114 * * * * [progress]: [ 481 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))))) (/ (cbrt (sqrt k)) (cbrt (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.114 * * * * [progress]: [ 482 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (cbrt PI) (cbrt PI))))) (/ (cbrt (sqrt k)) (sqrt (cbrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.114 * * * * [progress]: [ 483 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt PI)))) (/ (cbrt (sqrt k)) (sqrt (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.114 * * * * [progress]: [ 484 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt 1))) (/ (cbrt (sqrt k)) (sqrt PI))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.114 * * * * [progress]: [ 485 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt PI)))) (/ (cbrt (sqrt k)) (sqrt (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.114 * * * * [progress]: [ 486 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt (sqrt k)) (sqrt PI))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.114 * * * * [progress]: [ 487 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))))) (/ (sqrt (cbrt k)) (cbrt (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.114 * * * * [progress]: [ 488 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (* (cbrt PI) (cbrt PI))))) (/ (sqrt (cbrt k)) (sqrt (cbrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.114 * * * * [progress]: [ 489 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (sqrt PI)))) (/ (sqrt (cbrt k)) (sqrt (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.115 * * * * [progress]: [ 490 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt 1))) (/ (sqrt (cbrt k)) (sqrt PI))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.115 * * * * [progress]: [ 491 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (sqrt PI)))) (/ (sqrt (cbrt k)) (sqrt (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.115 * * * * [progress]: [ 492 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) 1)) (/ (sqrt (cbrt k)) (sqrt PI))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.115 * * * * [progress]: [ 493 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))))) (/ (sqrt (sqrt k)) (cbrt (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.115 * * * * [progress]: [ 494 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (* (cbrt PI) (cbrt PI))))) (/ (sqrt (sqrt k)) (sqrt (cbrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.115 * * * * [progress]: [ 495 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI)))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.115 * * * * [progress]: [ 496 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt 1))) (/ (sqrt (sqrt k)) (sqrt PI))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.115 * * * * [progress]: [ 497 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI)))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.115 * * * * [progress]: [ 498 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (sqrt PI))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.115 * * * * [progress]: [ 499 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt 1) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))))) (/ (sqrt k) (cbrt (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.115 * * * * [progress]: [ 500 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt 1) (sqrt (* (cbrt PI) (cbrt PI))))) (/ (sqrt k) (sqrt (cbrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.115 * * * * [progress]: [ 501 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt 1) (sqrt (sqrt PI)))) (/ (sqrt k) (sqrt (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.115 * * * * [progress]: [ 502 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt 1) (sqrt 1))) (/ (sqrt k) (sqrt PI))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.115 * * * * [progress]: [ 503 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt 1) (sqrt (sqrt PI)))) (/ (sqrt k) (sqrt (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.115 * * * * [progress]: [ 504 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt 1) 1)) (/ (sqrt k) (sqrt PI))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.115 * * * * [progress]: [ 505 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))))) (/ (sqrt (sqrt k)) (cbrt (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.115 * * * * [progress]: [ 506 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (* (cbrt PI) (cbrt PI))))) (/ (sqrt (sqrt k)) (sqrt (cbrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.115 * * * * [progress]: [ 507 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI)))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.115 * * * * [progress]: [ 508 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt 1))) (/ (sqrt (sqrt k)) (sqrt PI))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.115 * * * * [progress]: [ 509 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI)))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.115 * * * * [progress]: [ 510 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (sqrt PI))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.115 * * * * [progress]: [ 511 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (/ 1 (* (cbrt (sqrt PI)) (cbrt (sqrt PI))))) (/ (sqrt k) (cbrt (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.116 * * * * [progress]: [ 512 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (/ 1 (sqrt (* (cbrt PI) (cbrt PI))))) (/ (sqrt k) (sqrt (cbrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.116 * * * * [progress]: [ 513 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (/ 1 (sqrt (sqrt PI)))) (/ (sqrt k) (sqrt (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.116 * * * * [progress]: [ 514 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (/ 1 (sqrt 1))) (/ (sqrt k) (sqrt PI))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.116 * * * * [progress]: [ 515 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (/ 1 (sqrt (sqrt PI)))) (/ (sqrt k) (sqrt (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.116 * * * * [progress]: [ 516 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (/ 1 1)) (/ (sqrt k) (sqrt PI))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.116 * * * * [progress]: [ 517 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) 1) (/ (sqrt k) (sqrt PI))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.116 * * * * [progress]: [ 518 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt k)) (/ 1 (sqrt PI))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.116 * * * * [progress]: [ 519 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n 1/2) (/ (/ (sqrt k) (sqrt PI)) (pow n (- (/ k 2))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.116 * * * * [progress]: [ 520 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n 1/2) (/ (/ (sqrt k) (sqrt PI)) (pow n (- (/ k 2))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.116 * * * * [progress]: [ 521 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2))) (/ (/ (sqrt k) (sqrt PI)) (pow (cbrt n) (- 1/2 (/ k 2))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.116 * * * * [progress]: [ 522 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (/ (sqrt k) (sqrt PI)) (pow (sqrt n) (- 1/2 (/ k 2))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.116 * * * * [progress]: [ 523 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow 1 (- 1/2 (/ k 2))) (/ (/ (sqrt k) (sqrt PI)) (pow n (- 1/2 (/ k 2))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.116 * * * * [progress]: [ 524 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (/ (sqrt k) (sqrt PI)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.116 * * * * [progress]: [ 525 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (sqrt PI)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.116 * * * * [progress]: [ 526 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (/ (sqrt k) (sqrt PI)) (pow n (- 1/2 (/ k 2))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.116 * * * * [progress]: [ 527 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (/ (sqrt k) (sqrt PI)) (pow n (/ (- 1/2 (/ k 2)) 2)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.116 * * * * [progress]: [ 528 / 540 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n (- 1/2 (/ k 2))) (sqrt k)) (sqrt PI)) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.116 * * * * [progress]: [ 529 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n 1/2) (* (/ (sqrt k) (sqrt PI)) (pow n (/ k 2)))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.116 * * * * [progress]: [ 530 / 540 ] simplifiying candidate #<alt (λ (k n) (* (posit16->real (real->posit16 (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.116 * * * * [progress]: [ 531 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt PI))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.116 * * * * [progress]: [ 532 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (- (+ (pow n 1/2) (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2))))) (* 1/2 (* (sqrt n) (* (log n) k)))) (/ (sqrt k) (sqrt PI))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.116 * * * * [progress]: [ 533 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (/ (sqrt k) (sqrt PI))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.116 * * * * [progress]: [ 534 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (/ (sqrt k) (sqrt PI))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.116 * * * * [progress]: [ 535 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (- (+ (* +nan.0 (/ k PI)) (- (+ (* +nan.0 (/ (pow k 2) (pow PI 2))) (- (* +nan.0 (/ (pow k 3) (pow PI 3))))))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.116 * * * * [progress]: [ 536 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (- (+ (* +nan.0 (/ 1 (* (pow PI 2) k))) (- (+ (* +nan.0 (/ 1 PI)) (- (* +nan.0 (/ 1 (* (pow PI 3) (pow k 2)))))))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.117 * * * * [progress]: [ 537 / 540 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (- (+ (* +nan.0 (* (sqrt (/ 1 PI)) (/ 1 k))) (- (+ (* +nan.0 (* (sqrt (/ 1 PI)) (/ 1 (pow k 2)))) (- (* +nan.0 (sqrt (/ 1 PI))))))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.117 * * * * [progress]: [ 538 / 540 ] simplifiying candidate #<alt (λ (k n) (* (- (+ (* +nan.0 (* (sqrt n) (* (pow PI 2) k))) (- (+ (* +nan.0 (* (sqrt n) (* (pow PI 2) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (sqrt n) (* PI (* (pow (log n) 2) (pow k 2))))) (- (+ (* +nan.0 (* (sqrt n) PI)) (- (+ (* +nan.0 (* (sqrt n) (* PI (* (log n) k)))) (- (* +nan.0 (* (sqrt n) (* (pow PI 3) (pow k 2))))))))))))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.117 * * * * [progress]: [ 539 / 540 ] simplifiying candidate #<alt (λ (k n) (* (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) PI) k)) (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow PI 3)) (pow k 3))) (- (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow PI 2)) (pow k 2)))))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.117 * * * * [progress]: [ 540 / 540 ] simplifiying candidate #<alt (λ (k n) (* (- (+ (* +nan.0 (* (/ (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) k) (sqrt PI))) (- (+ (* +nan.0 (* (/ (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow k 2)) (sqrt PI))) (- (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (sqrt PI)))))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
19.124 * [simplify]: Simplifying:
  (log (sqrt PI))
  (exp (sqrt PI))
  (* (cbrt (sqrt PI)) (cbrt (sqrt PI)))
  (cbrt (sqrt PI))
  (* (* (sqrt PI) (sqrt PI)) (sqrt PI))
  (sqrt (* (cbrt PI) (cbrt PI)))
  (sqrt (cbrt PI))
  (sqrt (sqrt PI))
  (sqrt (sqrt PI))
  (sqrt 1)
  (sqrt PI)
  (/ 1 2)
  (sqrt (sqrt PI))
  (sqrt (sqrt PI))
  (real->posit16 (sqrt PI))
  (* (log n) (- 1/2 (/ k 2)))
  (* (log n) (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (pow n 1/2)
  (pow n (/ k 2))
  (pow n (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow n (sqrt (- 1/2 (/ k 2))))
  (pow n 1)
  (pow n (+ (sqrt 1/2) (sqrt (/ k 2))))
  (pow n (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))))
  (pow n 1)
  (pow n 1/2)
  (pow n (- (/ k 2)))
  (pow n 1/2)
  (pow n (- (/ k 2)))
  (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2)))
  (pow (cbrt n) (- 1/2 (/ k 2)))
  (pow (sqrt n) (- 1/2 (/ k 2)))
  (pow (sqrt n) (- 1/2 (/ k 2)))
  (pow 1 (- 1/2 (/ k 2)))
  (pow n (- 1/2 (/ k 2)))
  (log (pow n (- 1/2 (/ k 2))))
  (exp (pow n (- 1/2 (/ k 2))))
  (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))
  (cbrt (pow n (- 1/2 (/ k 2))))
  (* (* (pow n (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2))))
  (sqrt (pow n (- 1/2 (/ k 2))))
  (sqrt (pow n (- 1/2 (/ k 2))))
  (pow n (/ (- 1/2 (/ k 2)) 2))
  (pow n (/ (- 1/2 (/ k 2)) 2))
  (real->posit16 (pow n (- 1/2 (/ k 2))))
  (- (log (sqrt k)) (log (sqrt PI)))
  (log (/ (sqrt k) (sqrt PI)))
  (exp (/ (sqrt k) (sqrt PI)))
  (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (sqrt PI) (sqrt PI)) (sqrt PI)))
  (* (cbrt (/ (sqrt k) (sqrt PI))) (cbrt (/ (sqrt k) (sqrt PI))))
  (cbrt (/ (sqrt k) (sqrt PI)))
  (* (* (/ (sqrt k) (sqrt PI)) (/ (sqrt k) (sqrt PI))) (/ (sqrt k) (sqrt PI)))
  (/ k PI)
  (sqrt (/ (sqrt k) (sqrt PI)))
  (sqrt (/ (sqrt k) (sqrt PI)))
  (- (sqrt k))
  (- (sqrt PI))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))))
  (/ (cbrt (sqrt k)) (cbrt (sqrt PI)))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (cbrt PI) (cbrt PI))))
  (/ (cbrt (sqrt k)) (sqrt (cbrt PI)))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt PI)))
  (/ (cbrt (sqrt k)) (sqrt (sqrt PI)))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt 1))
  (/ (cbrt (sqrt k)) (sqrt PI))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt PI)))
  (/ (cbrt (sqrt k)) (sqrt (sqrt PI)))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)
  (/ (cbrt (sqrt k)) (sqrt PI))
  (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))))
  (/ (sqrt (cbrt k)) (cbrt (sqrt PI)))
  (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (* (cbrt PI) (cbrt PI))))
  (/ (sqrt (cbrt k)) (sqrt (cbrt PI)))
  (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (sqrt PI)))
  (/ (sqrt (cbrt k)) (sqrt (sqrt PI)))
  (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt 1))
  (/ (sqrt (cbrt k)) (sqrt PI))
  (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (sqrt PI)))
  (/ (sqrt (cbrt k)) (sqrt (sqrt PI)))
  (/ (sqrt (* (cbrt k) (cbrt k))) 1)
  (/ (sqrt (cbrt k)) (sqrt PI))
  (/ (sqrt (sqrt k)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))))
  (/ (sqrt (sqrt k)) (cbrt (sqrt PI)))
  (/ (sqrt (sqrt k)) (sqrt (* (cbrt PI) (cbrt PI))))
  (/ (sqrt (sqrt k)) (sqrt (cbrt PI)))
  (/ (sqrt (sqrt k)) (sqrt (sqrt PI)))
  (/ (sqrt (sqrt k)) (sqrt (sqrt PI)))
  (/ (sqrt (sqrt k)) (sqrt 1))
  (/ (sqrt (sqrt k)) (sqrt PI))
  (/ (sqrt (sqrt k)) (sqrt (sqrt PI)))
  (/ (sqrt (sqrt k)) (sqrt (sqrt PI)))
  (/ (sqrt (sqrt k)) 1)
  (/ (sqrt (sqrt k)) (sqrt PI))
  (/ (sqrt 1) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))))
  (/ (sqrt k) (cbrt (sqrt PI)))
  (/ (sqrt 1) (sqrt (* (cbrt PI) (cbrt PI))))
  (/ (sqrt k) (sqrt (cbrt PI)))
  (/ (sqrt 1) (sqrt (sqrt PI)))
  (/ (sqrt k) (sqrt (sqrt PI)))
  (/ (sqrt 1) (sqrt 1))
  (/ (sqrt k) (sqrt PI))
  (/ (sqrt 1) (sqrt (sqrt PI)))
  (/ (sqrt k) (sqrt (sqrt PI)))
  (/ (sqrt 1) 1)
  (/ (sqrt k) (sqrt PI))
  (/ (sqrt (sqrt k)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))))
  (/ (sqrt (sqrt k)) (cbrt (sqrt PI)))
  (/ (sqrt (sqrt k)) (sqrt (* (cbrt PI) (cbrt PI))))
  (/ (sqrt (sqrt k)) (sqrt (cbrt PI)))
  (/ (sqrt (sqrt k)) (sqrt (sqrt PI)))
  (/ (sqrt (sqrt k)) (sqrt (sqrt PI)))
  (/ (sqrt (sqrt k)) (sqrt 1))
  (/ (sqrt (sqrt k)) (sqrt PI))
  (/ (sqrt (sqrt k)) (sqrt (sqrt PI)))
  (/ (sqrt (sqrt k)) (sqrt (sqrt PI)))
  (/ (sqrt (sqrt k)) 1)
  (/ (sqrt (sqrt k)) (sqrt PI))
  (/ 1 (* (cbrt (sqrt PI)) (cbrt (sqrt PI))))
  (/ (sqrt k) (cbrt (sqrt PI)))
  (/ 1 (sqrt (* (cbrt PI) (cbrt PI))))
  (/ (sqrt k) (sqrt (cbrt PI)))
  (/ 1 (sqrt (sqrt PI)))
  (/ (sqrt k) (sqrt (sqrt PI)))
  (/ 1 (sqrt 1))
  (/ (sqrt k) (sqrt PI))
  (/ 1 (sqrt (sqrt PI)))
  (/ (sqrt k) (sqrt (sqrt PI)))
  (/ 1 1)
  (/ (sqrt k) (sqrt PI))
  (/ 1 (sqrt PI))
  (/ (sqrt PI) (sqrt k))
  (/ (sqrt k) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))))
  (/ (sqrt k) (sqrt (* (cbrt PI) (cbrt PI))))
  (/ (sqrt k) (sqrt (sqrt PI)))
  (/ (sqrt k) (sqrt 1))
  (/ (sqrt k) (sqrt (sqrt PI)))
  (/ (sqrt k) 1)
  (/ (sqrt PI) (cbrt (sqrt k)))
  (/ (sqrt PI) (sqrt (cbrt k)))
  (/ (sqrt PI) (sqrt (sqrt k)))
  (/ (sqrt PI) (sqrt k))
  (/ (sqrt PI) (sqrt (sqrt k)))
  (/ (sqrt PI) (sqrt k))
  (real->posit16 (/ (sqrt k) (sqrt PI)))
  (- (* (log n) (- 1/2 (/ k 2))) (- (log (sqrt k)) (log (sqrt PI))))
  (- (* (log n) (- 1/2 (/ k 2))) (log (/ (sqrt k) (sqrt PI))))
  (- (* (log n) (- 1/2 (/ k 2))) (- (log (sqrt k)) (log (sqrt PI))))
  (- (* (log n) (- 1/2 (/ k 2))) (log (/ (sqrt k) (sqrt PI))))
  (- (log (pow n (- 1/2 (/ k 2)))) (- (log (sqrt k)) (log (sqrt PI))))
  (- (log (pow n (- 1/2 (/ k 2)))) (log (/ (sqrt k) (sqrt PI))))
  (log (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt PI))))
  (exp (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt PI))))
  (/ (* (* (pow n (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (sqrt PI) (sqrt PI)) (sqrt PI))))
  (/ (* (* (pow n (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (* (* (/ (sqrt k) (sqrt PI)) (/ (sqrt k) (sqrt PI))) (/ (sqrt k) (sqrt PI))))
  (* (cbrt (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt PI)))) (cbrt (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt PI)))))
  (cbrt (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt PI))))
  (* (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt PI))) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt PI)))) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt PI))))
  (sqrt (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt PI))))
  (sqrt (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt PI))))
  (- (pow n (- 1/2 (/ k 2))))
  (- (/ (sqrt k) (sqrt PI)))
  (/ (pow n 1/2) (* (cbrt (/ (sqrt k) (sqrt PI))) (cbrt (/ (sqrt k) (sqrt PI)))))
  (/ (pow n (- (/ k 2))) (cbrt (/ (sqrt k) (sqrt PI))))
  (/ (pow n 1/2) (sqrt (/ (sqrt k) (sqrt PI))))
  (/ (pow n (- (/ k 2))) (sqrt (/ (sqrt k) (sqrt PI))))
  (/ (pow n 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (sqrt PI)) (cbrt (sqrt PI)))))
  (/ (pow n (- (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (sqrt PI))))
  (/ (pow n 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (cbrt PI) (cbrt PI)))))
  (/ (pow n (- (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (cbrt PI))))
  (/ (pow n 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt PI))))
  (/ (pow n (- (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (sqrt PI))))
  (/ (pow n 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt 1)))
  (/ (pow n (- (/ k 2))) (/ (cbrt (sqrt k)) (sqrt PI)))
  (/ (pow n 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt PI))))
  (/ (pow n (- (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (sqrt PI))))
  (/ (pow n 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1))
  (/ (pow n (- (/ k 2))) (/ (cbrt (sqrt k)) (sqrt PI)))
  (/ (pow n 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (sqrt PI)) (cbrt (sqrt PI)))))
  (/ (pow n (- (/ k 2))) (/ (sqrt (cbrt k)) (cbrt (sqrt PI))))
  (/ (pow n 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (* (cbrt PI) (cbrt PI)))))
  (/ (pow n (- (/ k 2))) (/ (sqrt (cbrt k)) (sqrt (cbrt PI))))
  (/ (pow n 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (sqrt PI))))
  (/ (pow n (- (/ k 2))) (/ (sqrt (cbrt k)) (sqrt (sqrt PI))))
  (/ (pow n 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt 1)))
  (/ (pow n (- (/ k 2))) (/ (sqrt (cbrt k)) (sqrt PI)))
  (/ (pow n 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (sqrt PI))))
  (/ (pow n (- (/ k 2))) (/ (sqrt (cbrt k)) (sqrt (sqrt PI))))
  (/ (pow n 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) 1))
  (/ (pow n (- (/ k 2))) (/ (sqrt (cbrt k)) (sqrt PI)))
  (/ (pow n 1/2) (/ (sqrt (sqrt k)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI)))))
  (/ (pow n (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (sqrt PI))))
  (/ (pow n 1/2) (/ (sqrt (sqrt k)) (sqrt (* (cbrt PI) (cbrt PI)))))
  (/ (pow n (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (cbrt PI))))
  (/ (pow n 1/2) (/ (sqrt (sqrt k)) (sqrt (sqrt PI))))
  (/ (pow n (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI))))
  (/ (pow n 1/2) (/ (sqrt (sqrt k)) (sqrt 1)))
  (/ (pow n (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt PI)))
  (/ (pow n 1/2) (/ (sqrt (sqrt k)) (sqrt (sqrt PI))))
  (/ (pow n (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI))))
  (/ (pow n 1/2) (/ (sqrt (sqrt k)) 1))
  (/ (pow n (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt PI)))
  (/ (pow n 1/2) (/ (sqrt 1) (* (cbrt (sqrt PI)) (cbrt (sqrt PI)))))
  (/ (pow n (- (/ k 2))) (/ (sqrt k) (cbrt (sqrt PI))))
  (/ (pow n 1/2) (/ (sqrt 1) (sqrt (* (cbrt PI) (cbrt PI)))))
  (/ (pow n (- (/ k 2))) (/ (sqrt k) (sqrt (cbrt PI))))
  (/ (pow n 1/2) (/ (sqrt 1) (sqrt (sqrt PI))))
  (/ (pow n (- (/ k 2))) (/ (sqrt k) (sqrt (sqrt PI))))
  (/ (pow n 1/2) (/ (sqrt 1) (sqrt 1)))
  (/ (pow n (- (/ k 2))) (/ (sqrt k) (sqrt PI)))
  (/ (pow n 1/2) (/ (sqrt 1) (sqrt (sqrt PI))))
  (/ (pow n (- (/ k 2))) (/ (sqrt k) (sqrt (sqrt PI))))
  (/ (pow n 1/2) (/ (sqrt 1) 1))
  (/ (pow n (- (/ k 2))) (/ (sqrt k) (sqrt PI)))
  (/ (pow n 1/2) (/ (sqrt (sqrt k)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI)))))
  (/ (pow n (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (sqrt PI))))
  (/ (pow n 1/2) (/ (sqrt (sqrt k)) (sqrt (* (cbrt PI) (cbrt PI)))))
  (/ (pow n (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (cbrt PI))))
  (/ (pow n 1/2) (/ (sqrt (sqrt k)) (sqrt (sqrt PI))))
  (/ (pow n (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI))))
  (/ (pow n 1/2) (/ (sqrt (sqrt k)) (sqrt 1)))
  (/ (pow n (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt PI)))
  (/ (pow n 1/2) (/ (sqrt (sqrt k)) (sqrt (sqrt PI))))
  (/ (pow n (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI))))
  (/ (pow n 1/2) (/ (sqrt (sqrt k)) 1))
  (/ (pow n (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt PI)))
  (/ (pow n 1/2) (/ 1 (* (cbrt (sqrt PI)) (cbrt (sqrt PI)))))
  (/ (pow n (- (/ k 2))) (/ (sqrt k) (cbrt (sqrt PI))))
  (/ (pow n 1/2) (/ 1 (sqrt (* (cbrt PI) (cbrt PI)))))
  (/ (pow n (- (/ k 2))) (/ (sqrt k) (sqrt (cbrt PI))))
  (/ (pow n 1/2) (/ 1 (sqrt (sqrt PI))))
  (/ (pow n (- (/ k 2))) (/ (sqrt k) (sqrt (sqrt PI))))
  (/ (pow n 1/2) (/ 1 (sqrt 1)))
  (/ (pow n (- (/ k 2))) (/ (sqrt k) (sqrt PI)))
  (/ (pow n 1/2) (/ 1 (sqrt (sqrt PI))))
  (/ (pow n (- (/ k 2))) (/ (sqrt k) (sqrt (sqrt PI))))
  (/ (pow n 1/2) (/ 1 1))
  (/ (pow n (- (/ k 2))) (/ (sqrt k) (sqrt PI)))
  (/ (pow n 1/2) 1)
  (/ (pow n (- (/ k 2))) (/ (sqrt k) (sqrt PI)))
  (/ (pow n 1/2) (sqrt k))
  (/ (pow n (- (/ k 2))) (/ 1 (sqrt PI)))
  (/ (pow n 1/2) (* (cbrt (/ (sqrt k) (sqrt PI))) (cbrt (/ (sqrt k) (sqrt PI)))))
  (/ (pow n (- (/ k 2))) (cbrt (/ (sqrt k) (sqrt PI))))
  (/ (pow n 1/2) (sqrt (/ (sqrt k) (sqrt PI))))
  (/ (pow n (- (/ k 2))) (sqrt (/ (sqrt k) (sqrt PI))))
  (/ (pow n 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (sqrt PI)) (cbrt (sqrt PI)))))
  (/ (pow n (- (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (sqrt PI))))
  (/ (pow n 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (cbrt PI) (cbrt PI)))))
  (/ (pow n (- (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (cbrt PI))))
  (/ (pow n 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt PI))))
  (/ (pow n (- (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (sqrt PI))))
  (/ (pow n 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt 1)))
  (/ (pow n (- (/ k 2))) (/ (cbrt (sqrt k)) (sqrt PI)))
  (/ (pow n 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt PI))))
  (/ (pow n (- (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (sqrt PI))))
  (/ (pow n 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1))
  (/ (pow n (- (/ k 2))) (/ (cbrt (sqrt k)) (sqrt PI)))
  (/ (pow n 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (sqrt PI)) (cbrt (sqrt PI)))))
  (/ (pow n (- (/ k 2))) (/ (sqrt (cbrt k)) (cbrt (sqrt PI))))
  (/ (pow n 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (* (cbrt PI) (cbrt PI)))))
  (/ (pow n (- (/ k 2))) (/ (sqrt (cbrt k)) (sqrt (cbrt PI))))
  (/ (pow n 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (sqrt PI))))
  (/ (pow n (- (/ k 2))) (/ (sqrt (cbrt k)) (sqrt (sqrt PI))))
  (/ (pow n 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt 1)))
  (/ (pow n (- (/ k 2))) (/ (sqrt (cbrt k)) (sqrt PI)))
  (/ (pow n 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (sqrt PI))))
  (/ (pow n (- (/ k 2))) (/ (sqrt (cbrt k)) (sqrt (sqrt PI))))
  (/ (pow n 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) 1))
  (/ (pow n (- (/ k 2))) (/ (sqrt (cbrt k)) (sqrt PI)))
  (/ (pow n 1/2) (/ (sqrt (sqrt k)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI)))))
  (/ (pow n (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (sqrt PI))))
  (/ (pow n 1/2) (/ (sqrt (sqrt k)) (sqrt (* (cbrt PI) (cbrt PI)))))
  (/ (pow n (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (cbrt PI))))
  (/ (pow n 1/2) (/ (sqrt (sqrt k)) (sqrt (sqrt PI))))
  (/ (pow n (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI))))
  (/ (pow n 1/2) (/ (sqrt (sqrt k)) (sqrt 1)))
  (/ (pow n (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt PI)))
  (/ (pow n 1/2) (/ (sqrt (sqrt k)) (sqrt (sqrt PI))))
  (/ (pow n (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI))))
  (/ (pow n 1/2) (/ (sqrt (sqrt k)) 1))
  (/ (pow n (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt PI)))
  (/ (pow n 1/2) (/ (sqrt 1) (* (cbrt (sqrt PI)) (cbrt (sqrt PI)))))
  (/ (pow n (- (/ k 2))) (/ (sqrt k) (cbrt (sqrt PI))))
  (/ (pow n 1/2) (/ (sqrt 1) (sqrt (* (cbrt PI) (cbrt PI)))))
  (/ (pow n (- (/ k 2))) (/ (sqrt k) (sqrt (cbrt PI))))
  (/ (pow n 1/2) (/ (sqrt 1) (sqrt (sqrt PI))))
  (/ (pow n (- (/ k 2))) (/ (sqrt k) (sqrt (sqrt PI))))
  (/ (pow n 1/2) (/ (sqrt 1) (sqrt 1)))
  (/ (pow n (- (/ k 2))) (/ (sqrt k) (sqrt PI)))
  (/ (pow n 1/2) (/ (sqrt 1) (sqrt (sqrt PI))))
  (/ (pow n (- (/ k 2))) (/ (sqrt k) (sqrt (sqrt PI))))
  (/ (pow n 1/2) (/ (sqrt 1) 1))
  (/ (pow n (- (/ k 2))) (/ (sqrt k) (sqrt PI)))
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  (/ 1 (/ (sqrt (sqrt k)) (sqrt (sqrt PI))))
  (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI))))
  (/ 1 (/ (sqrt (sqrt k)) 1))
  (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt PI)))
  (/ 1 (/ 1 (* (cbrt (sqrt PI)) (cbrt (sqrt PI)))))
  (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (cbrt (sqrt PI))))
  (/ 1 (/ 1 (sqrt (* (cbrt PI) (cbrt PI)))))
  (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (cbrt PI))))
  (/ 1 (/ 1 (sqrt (sqrt PI))))
  (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (sqrt PI))))
  (/ 1 (/ 1 (sqrt 1)))
  (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt PI)))
  (/ 1 (/ 1 (sqrt (sqrt PI))))
  (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (sqrt PI))))
  (/ 1 (/ 1 1))
  (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt PI)))
  (/ 1 1)
  (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt PI)))
  (/ 1 (sqrt k))
  (/ (pow n (- 1/2 (/ k 2))) (/ 1 (sqrt PI)))
  (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (* (cbrt (/ (sqrt k) (sqrt PI))) (cbrt (/ (sqrt k) (sqrt PI)))))
  (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (cbrt (/ (sqrt k) (sqrt PI))))
  (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (sqrt (/ (sqrt k) (sqrt PI))))
  (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (sqrt (/ (sqrt k) (sqrt PI))))
  (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (sqrt PI)) (cbrt (sqrt PI)))))
  (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (cbrt (sqrt k)) (cbrt (sqrt PI))))
  (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (cbrt PI) (cbrt PI)))))
  (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (cbrt (sqrt k)) (sqrt (cbrt PI))))
  (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt PI))))
  (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (cbrt (sqrt k)) (sqrt (sqrt PI))))
  (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt 1)))
  (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (cbrt (sqrt k)) (sqrt PI)))
  (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt PI))))
  (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (cbrt (sqrt k)) (sqrt (sqrt PI))))
  (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1))
  (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (cbrt (sqrt k)) (sqrt PI)))
  (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (sqrt PI)) (cbrt (sqrt PI)))))
  (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (cbrt k)) (cbrt (sqrt PI))))
  (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (* (cbrt PI) (cbrt PI)))))
  (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (cbrt k)) (sqrt (cbrt PI))))
  (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (sqrt PI))))
  (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (cbrt k)) (sqrt (sqrt PI))))
  (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt 1)))
  (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (cbrt k)) (sqrt PI)))
  (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (sqrt PI))))
  (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (cbrt k)) (sqrt (sqrt PI))))
  (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) 1))
  (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (cbrt k)) (sqrt PI)))
  (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI)))))
  (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (cbrt (sqrt PI))))
  (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (sqrt (* (cbrt PI) (cbrt PI)))))
  (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (sqrt (cbrt PI))))
  (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (sqrt (sqrt PI))))
  (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (sqrt (sqrt PI))))
  (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (sqrt 1)))
  (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (sqrt PI)))
  (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (sqrt (sqrt PI))))
  (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (sqrt (sqrt PI))))
  (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) 1))
  (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (sqrt PI)))
  (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt 1) (* (cbrt (sqrt PI)) (cbrt (sqrt PI)))))
  (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (cbrt (sqrt PI))))
  (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt 1) (sqrt (* (cbrt PI) (cbrt PI)))))
  (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (sqrt (cbrt PI))))
  (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt 1) (sqrt (sqrt PI))))
  (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (sqrt (sqrt PI))))
  (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt 1) (sqrt 1)))
  (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (sqrt PI)))
  (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt 1) (sqrt (sqrt PI))))
  (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (sqrt (sqrt PI))))
  (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt 1) 1))
  (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (sqrt PI)))
  (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI)))))
  (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (cbrt (sqrt PI))))
  (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (sqrt (* (cbrt PI) (cbrt PI)))))
  (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (sqrt (cbrt PI))))
  (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (sqrt (sqrt PI))))
  (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (sqrt (sqrt PI))))
  (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (sqrt 1)))
  (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (sqrt PI)))
  (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (sqrt (sqrt PI))))
  (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (sqrt (sqrt PI))))
  (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) 1))
  (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (sqrt PI)))
  (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ 1 (* (cbrt (sqrt PI)) (cbrt (sqrt PI)))))
  (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (cbrt (sqrt PI))))
  (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ 1 (sqrt (* (cbrt PI) (cbrt PI)))))
  (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (sqrt (cbrt PI))))
  (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ 1 (sqrt (sqrt PI))))
  (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (sqrt (sqrt PI))))
  (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ 1 (sqrt 1)))
  (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (sqrt PI)))
  (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ 1 (sqrt (sqrt PI))))
  (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (sqrt (sqrt PI))))
  (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ 1 1))
  (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (sqrt PI)))
  (/ (pow n (/ (- 1/2 (/ k 2)) 2)) 1)
  (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (sqrt PI)))
  (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (sqrt k))
  (/ (pow n (/ (- 1/2 (/ k 2)) 2)) (/ 1 (sqrt PI)))
  (/ 1 (/ (sqrt k) (sqrt PI)))
  (/ (/ (sqrt k) (sqrt PI)) (pow n (- 1/2 (/ k 2))))
  (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (/ (sqrt k) (sqrt PI))) (cbrt (/ (sqrt k) (sqrt PI)))))
  (/ (pow n (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (sqrt PI))))
  (/ (pow n (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (sqrt PI)) (cbrt (sqrt PI)))))
  (/ (pow n (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (cbrt PI) (cbrt PI)))))
  (/ (pow n (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt PI))))
  (/ (pow n (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt 1)))
  (/ (pow n (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt PI))))
  (/ (pow n (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1))
  (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (sqrt PI)) (cbrt (sqrt PI)))))
  (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (* (cbrt PI) (cbrt PI)))))
  (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (sqrt PI))))
  (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt 1)))
  (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (sqrt PI))))
  (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) 1))
  (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI)))))
  (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (* (cbrt PI) (cbrt PI)))))
  (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI))))
  (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt 1)))
  (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI))))
  (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) 1))
  (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt 1) (* (cbrt (sqrt PI)) (cbrt (sqrt PI)))))
  (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt 1) (sqrt (* (cbrt PI) (cbrt PI)))))
  (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt 1) (sqrt (sqrt PI))))
  (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt 1) (sqrt 1)))
  (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt 1) (sqrt (sqrt PI))))
  (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt 1) 1))
  (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI)))))
  (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (* (cbrt PI) (cbrt PI)))))
  (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI))))
  (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt 1)))
  (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI))))
  (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) 1))
  (/ (pow n (- 1/2 (/ k 2))) (/ 1 (* (cbrt (sqrt PI)) (cbrt (sqrt PI)))))
  (/ (pow n (- 1/2 (/ k 2))) (/ 1 (sqrt (* (cbrt PI) (cbrt PI)))))
  (/ (pow n (- 1/2 (/ k 2))) (/ 1 (sqrt (sqrt PI))))
  (/ (pow n (- 1/2 (/ k 2))) (/ 1 (sqrt 1)))
  (/ (pow n (- 1/2 (/ k 2))) (/ 1 (sqrt (sqrt PI))))
  (/ (pow n (- 1/2 (/ k 2))) (/ 1 1))
  (/ (pow n (- 1/2 (/ k 2))) 1)
  (/ (pow n (- 1/2 (/ k 2))) (sqrt k))
  (/ (/ (sqrt k) (sqrt PI)) (pow n (- (/ k 2))))
  (/ (/ (sqrt k) (sqrt PI)) (pow n (- (/ k 2))))
  (/ (/ (sqrt k) (sqrt PI)) (pow (cbrt n) (- 1/2 (/ k 2))))
  (/ (/ (sqrt k) (sqrt PI)) (pow (sqrt n) (- 1/2 (/ k 2))))
  (/ (/ (sqrt k) (sqrt PI)) (pow n (- 1/2 (/ k 2))))
  (/ (/ (sqrt k) (sqrt PI)) (cbrt (pow n (- 1/2 (/ k 2)))))
  (/ (/ (sqrt k) (sqrt PI)) (sqrt (pow n (- 1/2 (/ k 2)))))
  (/ (/ (sqrt k) (sqrt PI)) (pow n (- 1/2 (/ k 2))))
  (/ (/ (sqrt k) (sqrt PI)) (pow n (/ (- 1/2 (/ k 2)) 2)))
  (/ (pow n (- 1/2 (/ k 2))) (sqrt k))
  (* (/ (sqrt k) (sqrt PI)) (pow n (/ k 2)))
  (real->posit16 (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt PI))))
  (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt PI))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2))))
  (- (+ (pow n 1/2) (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2))))) (* 1/2 (* (sqrt n) (* (log n) k))))
  (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n)))))
  (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n)))))
  (- (+ (* +nan.0 (/ k PI)) (- (+ (* +nan.0 (/ (pow k 2) (pow PI 2))) (- (* +nan.0 (/ (pow k 3) (pow PI 3))))))))
  (- (+ (* +nan.0 (/ 1 (* (pow PI 2) k))) (- (+ (* +nan.0 (/ 1 PI)) (- (* +nan.0 (/ 1 (* (pow PI 3) (pow k 2)))))))))
  (- (+ (* +nan.0 (* (sqrt (/ 1 PI)) (/ 1 k))) (- (+ (* +nan.0 (* (sqrt (/ 1 PI)) (/ 1 (pow k 2)))) (- (* +nan.0 (sqrt (/ 1 PI))))))))
  (- (+ (* +nan.0 (* (sqrt n) (* (pow PI 2) k))) (- (+ (* +nan.0 (* (sqrt n) (* (pow PI 2) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (sqrt n) (* PI (* (pow (log n) 2) (pow k 2))))) (- (+ (* +nan.0 (* (sqrt n) PI)) (- (+ (* +nan.0 (* (sqrt n) (* PI (* (log n) k)))) (- (* +nan.0 (* (sqrt n) (* (pow PI 3) (pow k 2)))))))))))))))
  (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) PI) k)) (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow PI 3)) (pow k 3))) (- (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow PI 2)) (pow k 2))))))))
  (- (+ (* +nan.0 (* (/ (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) k) (sqrt PI))) (- (+ (* +nan.0 (* (/ (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow k 2)) (sqrt PI))) (- (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (sqrt PI))))))))
19.137 * * [simplify]: iteration 0: 669 enodes
19.444 * * [simplify]: iteration 1: 1814 enodes
20.293 * * [simplify]: iteration complete: 5000 enodes
20.294 * * [simplify]: Extracting #0: cost 386 inf + 0
20.300 * * [simplify]: Extracting #1: cost 1364 inf + 3
20.312 * * [simplify]: Extracting #2: cost 1700 inf + 3517
20.330 * * [simplify]: Extracting #3: cost 1864 inf + 30595
20.374 * * [simplify]: Extracting #4: cost 1500 inf + 177209
20.470 * * [simplify]: Extracting #5: cost 456 inf + 670520
20.623 * * [simplify]: Extracting #6: cost 34 inf + 864707
20.793 * * [simplify]: Extracting #7: cost 1 inf + 876482
20.961 * * [simplify]: Extracting #8: cost 0 inf + 876655
21.139 * [simplify]: Simplified to:
  (log (sqrt PI))
  (exp (sqrt PI))
  (* (cbrt (sqrt PI)) (cbrt (sqrt PI)))
  (cbrt (sqrt PI))
  (* PI (sqrt PI))
  (fabs (cbrt PI))
  (sqrt (cbrt PI))
  (sqrt (sqrt PI))
  (sqrt (sqrt PI))
  1
  (sqrt PI)
  1/2
  (sqrt (sqrt PI))
  (sqrt (sqrt PI))
  (real->posit16 (sqrt PI))
  (* (- 1/2 (/ k 2)) (log n))
  (* (- 1/2 (/ k 2)) (log n))
  (- 1/2 (/ k 2))
  (sqrt n)
  (pow n (/ k 2))
  (pow n (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow n (sqrt (- 1/2 (/ k 2))))
  n
  (pow n (+ (sqrt (/ k 2)) (sqrt 1/2)))
  (pow n (+ (/ (sqrt k) (sqrt 2)) (sqrt 1/2)))
  n
  (sqrt n)
  (pow n (/ (- k) 2))
  (sqrt n)
  (pow n (/ (- k) 2))
  (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2)))
  (pow (cbrt n) (- 1/2 (/ k 2)))
  (pow (sqrt n) (- 1/2 (/ k 2)))
  (pow (sqrt n) (- 1/2 (/ k 2)))
  1
  (pow n (- 1/2 (/ k 2)))
  (* (- 1/2 (/ k 2)) (log n))
  (exp (pow n (- 1/2 (/ k 2))))
  (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))
  (cbrt (pow n (- 1/2 (/ k 2))))
  (pow (pow n (- 1/2 (/ k 2))) 3)
  (sqrt (pow n (- 1/2 (/ k 2))))
  (sqrt (pow n (- 1/2 (/ k 2))))
  (pow n (- 1/4 (/ (/ k 2) 2)))
  (pow n (- 1/4 (/ (/ k 2) 2)))
  (real->posit16 (pow n (- 1/2 (/ k 2))))
  (log (/ (sqrt k) (sqrt PI)))
  (log (/ (sqrt k) (sqrt PI)))
  (exp (/ (sqrt k) (sqrt PI)))
  (* (/ k (* PI (sqrt PI))) (sqrt k))
  (* (cbrt (/ (sqrt k) (sqrt PI))) (cbrt (/ (sqrt k) (sqrt PI))))
  (cbrt (/ (sqrt k) (sqrt PI)))
  (* (/ (sqrt k) (sqrt PI)) (* (/ (sqrt k) (sqrt PI)) (/ (sqrt k) (sqrt PI))))
  (/ k PI)
  (sqrt (/ (sqrt k) (sqrt PI)))
  (sqrt (/ (sqrt k) (sqrt PI)))
  (- (sqrt k))
  (- (sqrt PI))
  (* (/ (cbrt (sqrt k)) (cbrt (sqrt PI))) (/ (cbrt (sqrt k)) (cbrt (sqrt PI))))
  (/ (cbrt (sqrt k)) (cbrt (sqrt PI)))
  (/ (cbrt (sqrt k)) (/ (fabs (cbrt PI)) (cbrt (sqrt k))))
  (/ (cbrt (sqrt k)) (sqrt (cbrt PI)))
  (/ (cbrt (sqrt k)) (/ (sqrt (sqrt PI)) (cbrt (sqrt k))))
  (/ (cbrt (sqrt k)) (sqrt (sqrt PI)))
  (* (cbrt (sqrt k)) (cbrt (sqrt k)))
  (/ (cbrt (sqrt k)) (sqrt PI))
  (/ (cbrt (sqrt k)) (/ (sqrt (sqrt PI)) (cbrt (sqrt k))))
  (/ (cbrt (sqrt k)) (sqrt (sqrt PI)))
  (* (cbrt (sqrt k)) (cbrt (sqrt k)))
  (/ (cbrt (sqrt k)) (sqrt PI))
  (/ (/ (fabs (cbrt k)) (cbrt (sqrt PI))) (cbrt (sqrt PI)))
  (/ (sqrt (cbrt k)) (cbrt (sqrt PI)))
  (/ (fabs (cbrt k)) (fabs (cbrt PI)))
  (/ (sqrt (cbrt k)) (sqrt (cbrt PI)))
  (/ (fabs (cbrt k)) (sqrt (sqrt PI)))
  (/ (sqrt (cbrt k)) (sqrt (sqrt PI)))
  (fabs (cbrt k))
  (/ (sqrt (cbrt k)) (sqrt PI))
  (/ (fabs (cbrt k)) (sqrt (sqrt PI)))
  (/ (sqrt (cbrt k)) (sqrt (sqrt PI)))
  (fabs (cbrt k))
  (/ (sqrt (cbrt k)) (sqrt PI))
  (/ (sqrt (sqrt k)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))))
  (/ (sqrt (sqrt k)) (cbrt (sqrt PI)))
  (/ (sqrt (sqrt k)) (fabs (cbrt PI)))
  (/ (sqrt (sqrt k)) (sqrt (cbrt PI)))
  (/ (sqrt (sqrt k)) (sqrt (sqrt PI)))
  (/ (sqrt (sqrt k)) (sqrt (sqrt PI)))
  (sqrt (sqrt k))
  (/ (sqrt (sqrt k)) (sqrt PI))
  (/ (sqrt (sqrt k)) (sqrt (sqrt PI)))
  (/ (sqrt (sqrt k)) (sqrt (sqrt PI)))
  (sqrt (sqrt k))
  (/ (sqrt (sqrt k)) (sqrt PI))
  (/ (/ 1 (cbrt (sqrt PI))) (cbrt (sqrt PI)))
  (/ (sqrt k) (cbrt (sqrt PI)))
  (/ 1 (fabs (cbrt PI)))
  (/ (sqrt k) (sqrt (cbrt PI)))
  (/ 1 (sqrt (sqrt PI)))
  (/ (sqrt k) (sqrt (sqrt PI)))
  1
  (/ (sqrt k) (sqrt PI))
  (/ 1 (sqrt (sqrt PI)))
  (/ (sqrt k) (sqrt (sqrt PI)))
  1
  (/ (sqrt k) (sqrt PI))
  (/ (sqrt (sqrt k)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))))
  (/ (sqrt (sqrt k)) (cbrt (sqrt PI)))
  (/ (sqrt (sqrt k)) (fabs (cbrt PI)))
  (/ (sqrt (sqrt k)) (sqrt (cbrt PI)))
  (/ (sqrt (sqrt k)) (sqrt (sqrt PI)))
  (/ (sqrt (sqrt k)) (sqrt (sqrt PI)))
  (sqrt (sqrt k))
  (/ (sqrt (sqrt k)) (sqrt PI))
  (/ (sqrt (sqrt k)) (sqrt (sqrt PI)))
  (/ (sqrt (sqrt k)) (sqrt (sqrt PI)))
  (sqrt (sqrt k))
  (/ (sqrt (sqrt k)) (sqrt PI))
  (/ (/ 1 (cbrt (sqrt PI))) (cbrt (sqrt PI)))
  (/ (sqrt k) (cbrt (sqrt PI)))
  (/ 1 (fabs (cbrt PI)))
  (/ (sqrt k) (sqrt (cbrt PI)))
  (/ 1 (sqrt (sqrt PI)))
  (/ (sqrt k) (sqrt (sqrt PI)))
  1
  (/ (sqrt k) (sqrt PI))
  (/ 1 (sqrt (sqrt PI)))
  (/ (sqrt k) (sqrt (sqrt PI)))
  1
  (/ (sqrt k) (sqrt PI))
  (/ 1 (sqrt PI))
  (/ (sqrt PI) (sqrt k))
  (/ (sqrt k) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))))
  (/ (sqrt k) (fabs (cbrt PI)))
  (/ (sqrt k) (sqrt (sqrt PI)))
  (sqrt k)
  (/ (sqrt k) (sqrt (sqrt PI)))
  (sqrt k)
  (/ (sqrt PI) (cbrt (sqrt k)))
  (/ (sqrt PI) (sqrt (cbrt k)))
  (/ (sqrt PI) (sqrt (sqrt k)))
  (/ (sqrt PI) (sqrt k))
  (/ (sqrt PI) (sqrt (sqrt k)))
  (/ (sqrt PI) (sqrt k))
  (real->posit16 (/ (sqrt k) (sqrt PI)))
  (- (* (- 1/2 (/ k 2)) (log n)) (log (/ (sqrt k) (sqrt PI))))
  (- (* (- 1/2 (/ k 2)) (log n)) (log (/ (sqrt k) (sqrt PI))))
  (- (* (- 1/2 (/ k 2)) (log n)) (log (/ (sqrt k) (sqrt PI))))
  (- (* (- 1/2 (/ k 2)) (log n)) (log (/ (sqrt k) (sqrt PI))))
  (- (* (- 1/2 (/ k 2)) (log n)) (log (/ (sqrt k) (sqrt PI))))
  (- (* (- 1/2 (/ k 2)) (log n)) (log (/ (sqrt k) (sqrt PI))))
  (- (* (- 1/2 (/ k 2)) (log n)) (log (/ (sqrt k) (sqrt PI))))
  (exp (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt PI))))
  (/ (pow n (- 1/2 (/ k 2))) (/ (/ (* (/ k (* PI (sqrt PI))) (sqrt k)) (pow n (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))))
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  1
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  (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2))))))
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  (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (sqrt PI))))
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  (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (cbrt (sqrt PI))))
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  (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (fabs (cbrt k)) (sqrt (sqrt PI))))
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  (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (fabs (cbrt k)) (sqrt (sqrt PI))))
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  (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt PI))) (sqrt (sqrt k)))
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  (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (sqrt PI))))
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  (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt PI))) (sqrt (sqrt k)))
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  (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt PI))) (sqrt (sqrt k)))
  (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt PI))) (sqrt (sqrt k)))
  (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt PI)))
  (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt PI))) (sqrt (sqrt k)))
  (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt PI))) (sqrt (sqrt k)))
  (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt PI)))
  (* (sqrt (pow n (- 1/2 (/ k 2)))) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))))
  (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt PI))) (sqrt k))
  (* (sqrt (pow n (- 1/2 (/ k 2)))) (fabs (cbrt PI)))
  (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt k)) (sqrt (cbrt PI)))
  (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt PI)))
  (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (sqrt PI))))
  (sqrt (pow n (- 1/2 (/ k 2))))
  (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt PI)))
  (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt PI)))
  (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (sqrt PI))))
  (sqrt (pow n (- 1/2 (/ k 2))))
  (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt PI)))
  (sqrt (pow n (- 1/2 (/ k 2))))
  (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt PI)))
  (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt k))
  (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt PI))
  (/ (/ 1 (cbrt (/ (sqrt k) (sqrt PI)))) (cbrt (/ (sqrt k) (sqrt PI))))
  (/ (pow n (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (sqrt PI))))
  (/ 1 (sqrt (/ (sqrt k) (sqrt PI))))
  (/ (pow n (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (sqrt PI))))
  (/ 1 (* (/ (cbrt (sqrt k)) (cbrt (sqrt PI))) (/ (cbrt (sqrt k)) (cbrt (sqrt PI)))))
  (/ (pow n (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (sqrt PI))))
  (/ (* 1 (fabs (cbrt PI))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (* (/ (pow n (- 1/2 (/ k 2))) (cbrt (sqrt k))) (sqrt (cbrt PI)))
  (/ (* 1 (sqrt (sqrt PI))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow n (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (sqrt PI))))
  (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (* (/ (pow n (- 1/2 (/ k 2))) (cbrt (sqrt k))) (sqrt PI))
  (/ (* 1 (sqrt (sqrt PI))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow n (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (sqrt PI))))
  (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (* (/ (pow n (- 1/2 (/ k 2))) (cbrt (sqrt k))) (sqrt PI))
  (/ (* 1 (* (cbrt (sqrt PI)) (cbrt (sqrt PI)))) (fabs (cbrt k)))
  (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (cbrt (sqrt PI))))
  (/ 1 (/ (fabs (cbrt k)) (fabs (cbrt PI))))
  (/ (* (pow n (- 1/2 (/ k 2))) (sqrt (cbrt PI))) (sqrt (cbrt k)))
  (/ (* 1 (sqrt (sqrt PI))) (fabs (cbrt k)))
  (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (sqrt (sqrt PI))))
  (/ 1 (fabs (cbrt k)))
  (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (cbrt k))) (sqrt PI))
  (/ (* 1 (sqrt (sqrt PI))) (fabs (cbrt k)))
  (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (sqrt (sqrt PI))))
  (/ 1 (fabs (cbrt k)))
  (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (cbrt k))) (sqrt PI))
  (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI)))))
  (/ (* (pow n (- 1/2 (/ k 2))) (cbrt (sqrt PI))) (sqrt (sqrt k)))
  (/ 1 (/ (sqrt (sqrt k)) (fabs (cbrt PI))))
  (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt PI)))
  (/ (* 1 (sqrt (sqrt PI))) (sqrt (sqrt k)))
  (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI))))
  (/ 1 (sqrt (sqrt k)))
  (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt PI)))
  (/ (* 1 (sqrt (sqrt PI))) (sqrt (sqrt k)))
  (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI))))
  (/ 1 (sqrt (sqrt k)))
  (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt PI)))
  (* (cbrt (sqrt PI)) (cbrt (sqrt PI)))
  (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (cbrt (sqrt PI))))
  (fabs (cbrt PI))
  (/ (* (pow n (- 1/2 (/ k 2))) (sqrt (cbrt PI))) (sqrt k))
  (sqrt (sqrt PI))
  (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (sqrt PI))))
  1
  (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt PI)))
  (sqrt (sqrt PI))
  (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (sqrt PI))))
  1
  (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt PI)))
  (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI)))))
  (/ (* (pow n (- 1/2 (/ k 2))) (cbrt (sqrt PI))) (sqrt (sqrt k)))
  (/ 1 (/ (sqrt (sqrt k)) (fabs (cbrt PI))))
  (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt PI)))
  (/ (* 1 (sqrt (sqrt PI))) (sqrt (sqrt k)))
  (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI))))
  (/ 1 (sqrt (sqrt k)))
  (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt PI)))
  (/ (* 1 (sqrt (sqrt PI))) (sqrt (sqrt k)))
  (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI))))
  (/ 1 (sqrt (sqrt k)))
  (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt PI)))
  (* (cbrt (sqrt PI)) (cbrt (sqrt PI)))
  (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (cbrt (sqrt PI))))
  (fabs (cbrt PI))
  (/ (* (pow n (- 1/2 (/ k 2))) (sqrt (cbrt PI))) (sqrt k))
  (sqrt (sqrt PI))
  (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (sqrt PI))))
  1
  (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt PI)))
  (sqrt (sqrt PI))
  (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (sqrt PI))))
  1
  (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt PI)))
  1
  (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt PI)))
  (/ 1 (sqrt k))
  (* (pow n (- 1/2 (/ k 2))) (sqrt PI))
  (/ (/ (pow n (- 1/4 (/ (/ k 2) 2))) (cbrt (/ (sqrt k) (sqrt PI)))) (cbrt (/ (sqrt k) (sqrt PI))))
  (/ (pow n (- 1/4 (/ (/ k 2) 2))) (cbrt (/ (sqrt k) (sqrt PI))))
  (/ (pow n (- 1/4 (/ (/ k 2) 2))) (sqrt (/ (sqrt k) (sqrt PI))))
  (/ (pow n (- 1/4 (/ (/ k 2) 2))) (sqrt (/ (sqrt k) (sqrt PI))))
  (/ (pow n (- 1/4 (/ (/ k 2) 2))) (* (/ (cbrt (sqrt k)) (cbrt (sqrt PI))) (/ (cbrt (sqrt k)) (cbrt (sqrt PI)))))
  (/ (pow n (- 1/4 (/ (/ k 2) 2))) (/ (cbrt (sqrt k)) (cbrt (sqrt PI))))
  (/ (pow n (- 1/4 (/ (/ k 2) 2))) (/ (cbrt (sqrt k)) (/ (fabs (cbrt PI)) (cbrt (sqrt k)))))
  (/ (* (pow n (- 1/4 (/ (/ k 2) 2))) (sqrt (cbrt PI))) (cbrt (sqrt k)))
  (/ (pow n (- 1/4 (/ (/ k 2) 2))) (/ (cbrt (sqrt k)) (/ (sqrt (sqrt PI)) (cbrt (sqrt k)))))
  (/ (pow n (- 1/4 (/ (/ k 2) 2))) (/ (cbrt (sqrt k)) (sqrt (sqrt PI))))
  (/ (/ (pow n (- 1/4 (/ (/ k 2) 2))) (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (pow n (- 1/4 (/ (/ k 2) 2))) (/ (cbrt (sqrt k)) (sqrt PI)))
  (/ (pow n (- 1/4 (/ (/ k 2) 2))) (/ (cbrt (sqrt k)) (/ (sqrt (sqrt PI)) (cbrt (sqrt k)))))
  (/ (pow n (- 1/4 (/ (/ k 2) 2))) (/ (cbrt (sqrt k)) (sqrt (sqrt PI))))
  (/ (/ (pow n (- 1/4 (/ (/ k 2) 2))) (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (pow n (- 1/4 (/ (/ k 2) 2))) (/ (cbrt (sqrt k)) (sqrt PI)))
  (/ (pow n (- 1/4 (/ (/ k 2) 2))) (/ (/ (fabs (cbrt k)) (cbrt (sqrt PI))) (cbrt (sqrt PI))))
  (/ (pow n (- 1/4 (/ (/ k 2) 2))) (/ (sqrt (cbrt k)) (cbrt (sqrt PI))))
  (/ (pow n (- 1/4 (/ (/ k 2) 2))) (/ (fabs (cbrt k)) (fabs (cbrt PI))))
  (/ (pow n (- 1/4 (/ (/ k 2) 2))) (/ (sqrt (cbrt k)) (sqrt (cbrt PI))))
  (/ (pow n (- 1/4 (/ (/ k 2) 2))) (/ (fabs (cbrt k)) (sqrt (sqrt PI))))
  (/ (* (pow n (- 1/4 (/ (/ k 2) 2))) (sqrt (sqrt PI))) (sqrt (cbrt k)))
  (/ (pow n (- 1/4 (/ (/ k 2) 2))) (fabs (cbrt k)))
  (/ (pow n (- 1/4 (/ (/ k 2) 2))) (/ (sqrt (cbrt k)) (sqrt PI)))
  (/ (pow n (- 1/4 (/ (/ k 2) 2))) (/ (fabs (cbrt k)) (sqrt (sqrt PI))))
  (/ (* (pow n (- 1/4 (/ (/ k 2) 2))) (sqrt (sqrt PI))) (sqrt (cbrt k)))
  (/ (pow n (- 1/4 (/ (/ k 2) 2))) (fabs (cbrt k)))
  (/ (pow n (- 1/4 (/ (/ k 2) 2))) (/ (sqrt (cbrt k)) (sqrt PI)))
  (/ (pow n (- 1/4 (/ (/ k 2) 2))) (/ (sqrt (sqrt k)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI)))))
  (/ (pow n (- 1/4 (/ (/ k 2) 2))) (/ (sqrt (sqrt k)) (cbrt (sqrt PI))))
  (* (/ (pow n (- 1/4 (/ (/ k 2) 2))) (sqrt (sqrt k))) (fabs (cbrt PI)))
  (/ (pow n (- 1/4 (/ (/ k 2) 2))) (/ (sqrt (sqrt k)) (sqrt (cbrt PI))))
  (/ (pow n (- 1/4 (/ (/ k 2) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI))))
  (/ (pow n (- 1/4 (/ (/ k 2) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI))))
  (/ (pow n (- 1/4 (/ (/ k 2) 2))) (sqrt (sqrt k)))
  (* (/ (pow n (- 1/4 (/ (/ k 2) 2))) (sqrt (sqrt k))) (sqrt PI))
  (/ (pow n (- 1/4 (/ (/ k 2) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI))))
  (/ (pow n (- 1/4 (/ (/ k 2) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI))))
  (/ (pow n (- 1/4 (/ (/ k 2) 2))) (sqrt (sqrt k)))
  (* (/ (pow n (- 1/4 (/ (/ k 2) 2))) (sqrt (sqrt k))) (sqrt PI))
  (* (pow n (- 1/4 (/ (/ k 2) 2))) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))))
  (/ (pow n (- 1/4 (/ (/ k 2) 2))) (/ (sqrt k) (cbrt (sqrt PI))))
  (* (pow n (- 1/4 (/ (/ k 2) 2))) (fabs (cbrt PI)))
  (/ (* (pow n (- 1/4 (/ (/ k 2) 2))) (sqrt (cbrt PI))) (sqrt k))
  (* (pow n (- 1/4 (/ (/ k 2) 2))) (sqrt (sqrt PI)))
  (/ (* (pow n (- 1/4 (/ (/ k 2) 2))) (sqrt (sqrt PI))) (sqrt k))
  (pow n (- 1/4 (/ (/ k 2) 2)))
  (/ (pow n (- 1/4 (/ (/ k 2) 2))) (/ (sqrt k) (sqrt PI)))
  (* (pow n (- 1/4 (/ (/ k 2) 2))) (sqrt (sqrt PI)))
  (/ (* (pow n (- 1/4 (/ (/ k 2) 2))) (sqrt (sqrt PI))) (sqrt k))
  (pow n (- 1/4 (/ (/ k 2) 2)))
  (/ (pow n (- 1/4 (/ (/ k 2) 2))) (/ (sqrt k) (sqrt PI)))
  (/ (pow n (- 1/4 (/ (/ k 2) 2))) (/ (sqrt (sqrt k)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI)))))
  (/ (pow n (- 1/4 (/ (/ k 2) 2))) (/ (sqrt (sqrt k)) (cbrt (sqrt PI))))
  (* (/ (pow n (- 1/4 (/ (/ k 2) 2))) (sqrt (sqrt k))) (fabs (cbrt PI)))
  (/ (pow n (- 1/4 (/ (/ k 2) 2))) (/ (sqrt (sqrt k)) (sqrt (cbrt PI))))
  (/ (pow n (- 1/4 (/ (/ k 2) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI))))
  (/ (pow n (- 1/4 (/ (/ k 2) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI))))
  (/ (pow n (- 1/4 (/ (/ k 2) 2))) (sqrt (sqrt k)))
  (* (/ (pow n (- 1/4 (/ (/ k 2) 2))) (sqrt (sqrt k))) (sqrt PI))
  (/ (pow n (- 1/4 (/ (/ k 2) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI))))
  (/ (pow n (- 1/4 (/ (/ k 2) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI))))
  (/ (pow n (- 1/4 (/ (/ k 2) 2))) (sqrt (sqrt k)))
  (* (/ (pow n (- 1/4 (/ (/ k 2) 2))) (sqrt (sqrt k))) (sqrt PI))
  (* (pow n (- 1/4 (/ (/ k 2) 2))) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))))
  (/ (pow n (- 1/4 (/ (/ k 2) 2))) (/ (sqrt k) (cbrt (sqrt PI))))
  (* (pow n (- 1/4 (/ (/ k 2) 2))) (fabs (cbrt PI)))
  (/ (* (pow n (- 1/4 (/ (/ k 2) 2))) (sqrt (cbrt PI))) (sqrt k))
  (* (pow n (- 1/4 (/ (/ k 2) 2))) (sqrt (sqrt PI)))
  (/ (* (pow n (- 1/4 (/ (/ k 2) 2))) (sqrt (sqrt PI))) (sqrt k))
  (pow n (- 1/4 (/ (/ k 2) 2)))
  (/ (pow n (- 1/4 (/ (/ k 2) 2))) (/ (sqrt k) (sqrt PI)))
  (* (pow n (- 1/4 (/ (/ k 2) 2))) (sqrt (sqrt PI)))
  (/ (* (pow n (- 1/4 (/ (/ k 2) 2))) (sqrt (sqrt PI))) (sqrt k))
  (pow n (- 1/4 (/ (/ k 2) 2)))
  (/ (pow n (- 1/4 (/ (/ k 2) 2))) (/ (sqrt k) (sqrt PI)))
  (pow n (- 1/4 (/ (/ k 2) 2)))
  (/ (pow n (- 1/4 (/ (/ k 2) 2))) (/ (sqrt k) (sqrt PI)))
  (/ (pow n (- 1/4 (/ (/ k 2) 2))) (sqrt k))
  (* (pow n (- 1/4 (/ (/ k 2) 2))) (sqrt PI))
  (/ (* 1 (sqrt PI)) (sqrt k))
  (/ (/ (sqrt k) (sqrt PI)) (pow n (- 1/2 (/ k 2))))
  (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (/ (sqrt k) (sqrt PI))) (cbrt (/ (sqrt k) (sqrt PI)))))
  (/ (pow n (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (sqrt PI))))
  (/ (/ (pow n (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (sqrt PI)))) (/ (cbrt (sqrt k)) (cbrt (sqrt PI))))
  (/ (pow n (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (/ (fabs (cbrt PI)) (cbrt (sqrt k)))))
  (/ (pow n (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (/ (sqrt (sqrt PI)) (cbrt (sqrt k)))))
  (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow n (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (/ (sqrt (sqrt PI)) (cbrt (sqrt k)))))
  (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow n (- 1/2 (/ k 2))) (/ (/ (fabs (cbrt k)) (cbrt (sqrt PI))) (cbrt (sqrt PI))))
  (/ (* (pow n (- 1/2 (/ k 2))) (fabs (cbrt PI))) (fabs (cbrt k)))
  (/ (pow n (- 1/2 (/ k 2))) (/ (fabs (cbrt k)) (sqrt (sqrt PI))))
  (/ (pow n (- 1/2 (/ k 2))) (fabs (cbrt k)))
  (/ (pow n (- 1/2 (/ k 2))) (/ (fabs (cbrt k)) (sqrt (sqrt PI))))
  (/ (pow n (- 1/2 (/ k 2))) (fabs (cbrt k)))
  (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))))
  (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (fabs (cbrt PI)))
  (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI))))
  (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI))))
  (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (* (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))))
  (* (pow n (- 1/2 (/ k 2))) (fabs (cbrt PI)))
  (* (pow n (- 1/2 (/ k 2))) (sqrt (sqrt PI)))
  (pow n (- 1/2 (/ k 2)))
  (* (pow n (- 1/2 (/ k 2))) (sqrt (sqrt PI)))
  (pow n (- 1/2 (/ k 2)))
  (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))))
  (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (fabs (cbrt PI)))
  (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI))))
  (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt PI))))
  (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (* (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))))
  (* (pow n (- 1/2 (/ k 2))) (fabs (cbrt PI)))
  (* (pow n (- 1/2 (/ k 2))) (sqrt (sqrt PI)))
  (pow n (- 1/2 (/ k 2)))
  (* (pow n (- 1/2 (/ k 2))) (sqrt (sqrt PI)))
  (pow n (- 1/2 (/ k 2)))
  (pow n (- 1/2 (/ k 2)))
  (/ (pow n (- 1/2 (/ k 2))) (sqrt k))
  (/ (/ (sqrt k) (sqrt PI)) (pow n (/ (- k) 2)))
  (/ (/ (sqrt k) (sqrt PI)) (pow n (/ (- k) 2)))
  (/ (/ (sqrt k) (sqrt PI)) (pow (cbrt n) (- 1/2 (/ k 2))))
  (/ (/ (sqrt k) (sqrt PI)) (pow (sqrt n) (- 1/2 (/ k 2))))
  (/ (/ (sqrt k) (sqrt PI)) (pow n (- 1/2 (/ k 2))))
  (/ (/ (sqrt k) (cbrt (pow n (- 1/2 (/ k 2))))) (sqrt PI))
  (/ (/ (sqrt k) (sqrt PI)) (sqrt (pow n (- 1/2 (/ k 2)))))
  (/ (/ (sqrt k) (sqrt PI)) (pow n (- 1/2 (/ k 2))))
  (/ (/ (sqrt k) (sqrt PI)) (pow n (- 1/4 (/ (/ k 2) 2))))
  (/ (pow n (- 1/2 (/ k 2))) (sqrt k))
  (/ (* (pow n (/ k 2)) (sqrt k)) (sqrt PI))
  (real->posit16 (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt PI))))
  (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt PI))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2))))
  (- (+ (* (* 1/8 (sqrt n)) (* (* (log n) (log n)) (* k k))) (sqrt n)) (* (* k (log n)) (* (sqrt n) 1/2)))
  (exp (* (- (- (log n))) (- 1/2 (* 1/2 k))))
  (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n)))))
  (+ (- (* +nan.0 (/ k PI))) (* +nan.0 (- (/ (* k k) (* PI PI)) (/ k (/ (* (* PI PI) PI) (* k k))))))
  (+ (- (/ +nan.0 (* (* PI PI) k))) (- (/ +nan.0 PI) (/ (/ +nan.0 (* k k)) (* (* PI PI) PI))))
  (- (- (/ (* (sqrt (/ 1 PI)) +nan.0) k) (* +nan.0 (- (/ (sqrt (/ 1 PI)) (* k k)) (sqrt (/ 1 PI))))))
  (- (+ (- (* (* +nan.0 (* (sqrt n) (* PI PI))) k) (* +nan.0 (* (* (sqrt n) (* PI PI)) (* (log n) (* k k))))) (+ (- (* +nan.0 (* (sqrt n) (* PI (* (* (log n) (log n)) (* k k))))) (* (* +nan.0 (sqrt n)) PI)) (- (* (* (* +nan.0 (sqrt n)) PI) (* k (log n))) (* (* (* +nan.0 (sqrt n)) (* k k)) (* (* PI PI) PI))))))
  (- (- (/ (* (* (exp (* (- (- (log n))) (- 1/2 (* 1/2 k)))) PI) +nan.0) k) (* +nan.0 (- (/ (/ (* (exp (* (- (- (log n))) (- 1/2 (* 1/2 k)))) (* (* PI PI) PI)) k) (* k k)) (/ (* (exp (* (- (- (log n))) (- 1/2 (* 1/2 k)))) (* PI PI)) (* k k))))))
  (- (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (sqrt PI)) k)) (* (sqrt PI) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (* k k))) (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))))))))
21.294 * * * [progress]: adding candidates to table
23.544 * [progress]: [Phase 3 of 3] Extracting.
23.544 * * [regime]: Finding splitpoints for: (#<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))> #<alt (λ (k n) (* (* (/ (sqrt n) (sqrt (/ (sqrt k) (sqrt PI)))) (/ (pow n (- (/ k 2))) (sqrt (/ (sqrt k) (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))> #<alt (λ (k n) (/ (sqrt (* (* n 2) PI)) (* (pow (* (* n 2) PI) (/ k 2)) (sqrt k))))> #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (exp (* (log PI) (- 1/2 (/ k 2)))))))> #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>)
23.545 * * * [regime-changes]: Trying 2 branch expressions: (n k)
23.545 * * * * [regimes]: Trying to branch on n from (#<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))> #<alt (λ (k n) (* (* (/ (sqrt n) (sqrt (/ (sqrt k) (sqrt PI)))) (/ (pow n (- (/ k 2))) (sqrt (/ (sqrt k) (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))> #<alt (λ (k n) (/ (sqrt (* (* n 2) PI)) (* (pow (* (* n 2) PI) (/ k 2)) (sqrt k))))> #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (exp (* (log PI) (- 1/2 (/ k 2)))))))> #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>)
23.602 * * * * [regimes]: Trying to branch on k from (#<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))> #<alt (λ (k n) (* (* (/ (sqrt n) (sqrt (/ (sqrt k) (sqrt PI)))) (/ (pow n (- (/ k 2))) (sqrt (/ (sqrt k) (sqrt PI))))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))> #<alt (λ (k n) (/ (sqrt (* (* n 2) PI)) (* (pow (* (* n 2) PI) (/ k 2)) (sqrt k))))> #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (exp (* (log PI) (- 1/2 (/ k 2)))))))> #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>)
23.652 * * * [regime]: Found split indices: #<option (#s(si 0 255))>
23.653 * [simplify]: Simplifying:
  (* (pow n (- 1/2 (/ k 2))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))
23.653 * * [simplify]: iteration 0: 14 enodes
23.653 * * [simplify]: iteration 1: 15 enodes
23.654 * * [simplify]: iteration complete: 15 enodes
23.654 * * [simplify]: Extracting #0: cost 1 inf + 0
23.654 * * [simplify]: Extracting #1: cost 3 inf + 0
23.654 * * [simplify]: Extracting #2: cost 7 inf + 0
23.654 * * [simplify]: Extracting #3: cost 11 inf + 1
23.654 * * [simplify]: Extracting #4: cost 11 inf + 3
23.654 * * [simplify]: Extracting #5: cost 5 inf + 464
23.654 * * [simplify]: Extracting #6: cost 2 inf + 1426
23.655 * * [simplify]: Extracting #7: cost 0 inf + 2925
23.655 * [simplify]: Simplified to:
  (* (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (pow n (- 1/2 (/ k 2))))
30.281 * [regime-testing]: Baseline error score: 0.4624564829053751
30.283 * [regime-testing]: Oracle error score: 0.04852721846162008
30.288 * [regime-testing]: End program error score: 0.4624564829053751