1552126180.765 * [progress]: [Phase 1 of 3] Setting up.
1552126180.765 * * * [progress]: [1/2] Preparing points
1552126180.978 * * * [progress]: [2/2] Setting up program.
1552126180.984 * [progress]: [Phase 2 of 3] Improving.
1552126180.984 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
1552126180.984 * [simplify]: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
1552126180.984 * * [simplify]: iters left: 6 (13 enodes)
1552126180.992 * * [simplify]: iters left: 5 (54 enodes)
1552126181.010 * * [simplify]: iters left: 4 (75 enodes)
1552126181.033 * * [simplify]: iters left: 3 (94 enodes)
1552126181.075 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126181.075 * * [simplify]: Extracting #1: cost 7 inf + 0
1552126181.076 * * [simplify]: Extracting #2: cost 13 inf + 1
1552126181.076 * * [simplify]: Extracting #3: cost 23 inf + 2
1552126181.076 * * [simplify]: Extracting #4: cost 18 inf + 378
1552126181.077 * * [simplify]: Extracting #5: cost 6 inf + 1792
1552126181.078 * * [simplify]: Extracting #6: cost 1 inf + 3201
1552126181.079 * * [simplify]: Extracting #7: cost 0 inf + 3656
1552126181.080 * [simplify]: Simplified to (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))
1552126181.081 * [simplify]: Simplified (2) to (λ (k n) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))
1552126181.094 * * [progress]: iteration 1 / 4
1552126181.094 * * * [progress]: picking best candidate
1552126181.103 * * * * [pick]: Picked  #<alt (λ (k n) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))>
1552126181.104 * * * [progress]: localizing error
1552126181.146 * * * [progress]: generating rewritten candidates
1552126181.146 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1)
1552126181.152 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1)
1552126181.158 * * * * [progress]: [ 3 / 3 ] rewriting at (2)
1552126181.172 * * * [progress]: generating series expansions
1552126181.172 * * * * [progress]: [ 1 / 3 ] generating series at (2 1)
1552126181.172 * [backup-simplify]: Simplify (pow (* (* n 2) PI) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))
1552126181.173 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0
1552126181.173 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1552126181.173 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1552126181.173 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1552126181.173 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1552126181.173 * [taylor]: Taking taylor expansion of 1/2 in k
1552126181.173 * [backup-simplify]: Simplify 1/2 into 1/2
1552126181.173 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1552126181.173 * [taylor]: Taking taylor expansion of 1/2 in k
1552126181.173 * [backup-simplify]: Simplify 1/2 into 1/2
1552126181.173 * [taylor]: Taking taylor expansion of k in k
1552126181.173 * [backup-simplify]: Simplify 0 into 0
1552126181.173 * [backup-simplify]: Simplify 1 into 1
1552126181.173 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1552126181.173 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1552126181.173 * [taylor]: Taking taylor expansion of 2 in k
1552126181.173 * [backup-simplify]: Simplify 2 into 2
1552126181.173 * [taylor]: Taking taylor expansion of (* n PI) in k
1552126181.173 * [taylor]: Taking taylor expansion of n in k
1552126181.173 * [backup-simplify]: Simplify n into n
1552126181.173 * [taylor]: Taking taylor expansion of PI in k
1552126181.173 * [backup-simplify]: Simplify PI into PI
1552126181.173 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1552126181.173 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1552126181.173 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1552126181.174 * [backup-simplify]: Simplify (* 1/2 0) into 0
1552126181.174 * [backup-simplify]: Simplify (- 0) into 0
1552126181.175 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1552126181.175 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1552126181.175 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1552126181.175 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1552126181.175 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1552126181.175 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1552126181.175 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1552126181.175 * [taylor]: Taking taylor expansion of 1/2 in n
1552126181.175 * [backup-simplify]: Simplify 1/2 into 1/2
1552126181.175 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
1552126181.175 * [taylor]: Taking taylor expansion of 1/2 in n
1552126181.175 * [backup-simplify]: Simplify 1/2 into 1/2
1552126181.175 * [taylor]: Taking taylor expansion of k in n
1552126181.175 * [backup-simplify]: Simplify k into k
1552126181.175 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1552126181.175 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1552126181.175 * [taylor]: Taking taylor expansion of 2 in n
1552126181.175 * [backup-simplify]: Simplify 2 into 2
1552126181.175 * [taylor]: Taking taylor expansion of (* n PI) in n
1552126181.175 * [taylor]: Taking taylor expansion of n in n
1552126181.175 * [backup-simplify]: Simplify 0 into 0
1552126181.175 * [backup-simplify]: Simplify 1 into 1
1552126181.175 * [taylor]: Taking taylor expansion of PI in n
1552126181.175 * [backup-simplify]: Simplify PI into PI
1552126181.175 * [backup-simplify]: Simplify (* 0 PI) into 0
1552126181.176 * [backup-simplify]: Simplify (* 2 0) into 0
1552126181.177 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552126181.178 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1552126181.178 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552126181.178 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
1552126181.178 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1552126181.178 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1552126181.179 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552126181.180 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
1552126181.181 * [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)))))
1552126181.181 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1552126181.181 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1552126181.181 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1552126181.181 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1552126181.181 * [taylor]: Taking taylor expansion of 1/2 in n
1552126181.181 * [backup-simplify]: Simplify 1/2 into 1/2
1552126181.181 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
1552126181.181 * [taylor]: Taking taylor expansion of 1/2 in n
1552126181.181 * [backup-simplify]: Simplify 1/2 into 1/2
1552126181.181 * [taylor]: Taking taylor expansion of k in n
1552126181.181 * [backup-simplify]: Simplify k into k
1552126181.181 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1552126181.181 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1552126181.181 * [taylor]: Taking taylor expansion of 2 in n
1552126181.181 * [backup-simplify]: Simplify 2 into 2
1552126181.181 * [taylor]: Taking taylor expansion of (* n PI) in n
1552126181.181 * [taylor]: Taking taylor expansion of n in n
1552126181.181 * [backup-simplify]: Simplify 0 into 0
1552126181.181 * [backup-simplify]: Simplify 1 into 1
1552126181.181 * [taylor]: Taking taylor expansion of PI in n
1552126181.181 * [backup-simplify]: Simplify PI into PI
1552126181.181 * [backup-simplify]: Simplify (* 0 PI) into 0
1552126181.182 * [backup-simplify]: Simplify (* 2 0) into 0
1552126181.182 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552126181.183 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1552126181.184 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552126181.184 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
1552126181.184 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1552126181.184 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1552126181.185 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552126181.186 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
1552126181.186 * [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)))))
1552126181.186 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
1552126181.186 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
1552126181.186 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1552126181.186 * [taylor]: Taking taylor expansion of 1/2 in k
1552126181.186 * [backup-simplify]: Simplify 1/2 into 1/2
1552126181.186 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1552126181.186 * [taylor]: Taking taylor expansion of 1/2 in k
1552126181.186 * [backup-simplify]: Simplify 1/2 into 1/2
1552126181.186 * [taylor]: Taking taylor expansion of k in k
1552126181.187 * [backup-simplify]: Simplify 0 into 0
1552126181.187 * [backup-simplify]: Simplify 1 into 1
1552126181.187 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1552126181.187 * [taylor]: Taking taylor expansion of (log n) in k
1552126181.187 * [taylor]: Taking taylor expansion of n in k
1552126181.187 * [backup-simplify]: Simplify n into n
1552126181.187 * [backup-simplify]: Simplify (log n) into (log n)
1552126181.187 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1552126181.187 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1552126181.187 * [taylor]: Taking taylor expansion of 2 in k
1552126181.187 * [backup-simplify]: Simplify 2 into 2
1552126181.187 * [taylor]: Taking taylor expansion of PI in k
1552126181.187 * [backup-simplify]: Simplify PI into PI
1552126181.187 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552126181.188 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552126181.188 * [backup-simplify]: Simplify (* 1/2 0) into 0
1552126181.188 * [backup-simplify]: Simplify (- 0) into 0
1552126181.188 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1552126181.189 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552126181.190 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
1552126181.190 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1552126181.191 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1552126181.192 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1552126181.192 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1552126181.193 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1552126181.194 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
1552126181.194 * [backup-simplify]: Simplify (- 0) into 0
1552126181.199 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126181.201 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552126181.201 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1552126181.203 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
1552126181.203 * [taylor]: Taking taylor expansion of 0 in k
1552126181.203 * [backup-simplify]: Simplify 0 into 0
1552126181.203 * [backup-simplify]: Simplify 0 into 0
1552126181.203 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1552126181.204 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1552126181.205 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1552126181.205 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126181.205 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1552126181.206 * [backup-simplify]: Simplify (- 1/2) into -1/2
1552126181.206 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1552126181.207 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
1552126181.209 * [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)))))))
1552126181.210 * [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)))))))
1552126181.212 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1552126181.212 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1552126181.215 * [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
1552126181.216 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
1552126181.216 * [backup-simplify]: Simplify (- 0) into 0
1552126181.217 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126181.218 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552126181.219 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1552126181.222 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1552126181.222 * [taylor]: Taking taylor expansion of 0 in k
1552126181.222 * [backup-simplify]: Simplify 0 into 0
1552126181.222 * [backup-simplify]: Simplify 0 into 0
1552126181.222 * [backup-simplify]: Simplify 0 into 0
1552126181.223 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
1552126181.224 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1552126181.227 * [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
1552126181.228 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126181.229 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1552126181.229 * [backup-simplify]: Simplify (- 0) into 0
1552126181.229 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126181.231 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1552126181.235 * [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)))))
1552126181.239 * [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)))))
1552126181.249 * [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)))))
1552126181.250 * [backup-simplify]: Simplify (pow (* (* (/ 1 n) 2) PI) (- 1/2 (/ (/ 1 k) 2))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
1552126181.250 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0
1552126181.250 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
1552126181.250 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1552126181.250 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1552126181.250 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1552126181.250 * [taylor]: Taking taylor expansion of 1/2 in k
1552126181.250 * [backup-simplify]: Simplify 1/2 into 1/2
1552126181.250 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1552126181.250 * [taylor]: Taking taylor expansion of 1/2 in k
1552126181.250 * [backup-simplify]: Simplify 1/2 into 1/2
1552126181.250 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552126181.250 * [taylor]: Taking taylor expansion of k in k
1552126181.250 * [backup-simplify]: Simplify 0 into 0
1552126181.250 * [backup-simplify]: Simplify 1 into 1
1552126181.251 * [backup-simplify]: Simplify (/ 1 1) into 1
1552126181.251 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
1552126181.251 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
1552126181.251 * [taylor]: Taking taylor expansion of 2 in k
1552126181.251 * [backup-simplify]: Simplify 2 into 2
1552126181.251 * [taylor]: Taking taylor expansion of (/ PI n) in k
1552126181.251 * [taylor]: Taking taylor expansion of PI in k
1552126181.251 * [backup-simplify]: Simplify PI into PI
1552126181.251 * [taylor]: Taking taylor expansion of n in k
1552126181.251 * [backup-simplify]: Simplify n into n
1552126181.251 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1552126181.251 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1552126181.251 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1552126181.251 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1552126181.252 * [backup-simplify]: Simplify (- 1/2) into -1/2
1552126181.252 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1552126181.252 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1552126181.253 * [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))))
1552126181.253 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1552126181.253 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1552126181.253 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1552126181.253 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1552126181.253 * [taylor]: Taking taylor expansion of 1/2 in n
1552126181.253 * [backup-simplify]: Simplify 1/2 into 1/2
1552126181.253 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552126181.253 * [taylor]: Taking taylor expansion of 1/2 in n
1552126181.253 * [backup-simplify]: Simplify 1/2 into 1/2
1552126181.253 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552126181.253 * [taylor]: Taking taylor expansion of k in n
1552126181.253 * [backup-simplify]: Simplify k into k
1552126181.253 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552126181.253 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1552126181.253 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1552126181.253 * [taylor]: Taking taylor expansion of 2 in n
1552126181.253 * [backup-simplify]: Simplify 2 into 2
1552126181.253 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552126181.253 * [taylor]: Taking taylor expansion of PI in n
1552126181.253 * [backup-simplify]: Simplify PI into PI
1552126181.253 * [taylor]: Taking taylor expansion of n in n
1552126181.253 * [backup-simplify]: Simplify 0 into 0
1552126181.253 * [backup-simplify]: Simplify 1 into 1
1552126181.254 * [backup-simplify]: Simplify (/ PI 1) into PI
1552126181.254 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552126181.255 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552126181.255 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552126181.255 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1552126181.255 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1552126181.257 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552126181.258 * [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)))
1552126181.259 * [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))))
1552126181.259 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1552126181.259 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1552126181.259 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1552126181.259 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1552126181.259 * [taylor]: Taking taylor expansion of 1/2 in n
1552126181.259 * [backup-simplify]: Simplify 1/2 into 1/2
1552126181.259 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552126181.259 * [taylor]: Taking taylor expansion of 1/2 in n
1552126181.259 * [backup-simplify]: Simplify 1/2 into 1/2
1552126181.259 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552126181.259 * [taylor]: Taking taylor expansion of k in n
1552126181.259 * [backup-simplify]: Simplify k into k
1552126181.259 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552126181.259 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1552126181.259 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1552126181.259 * [taylor]: Taking taylor expansion of 2 in n
1552126181.259 * [backup-simplify]: Simplify 2 into 2
1552126181.259 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552126181.259 * [taylor]: Taking taylor expansion of PI in n
1552126181.259 * [backup-simplify]: Simplify PI into PI
1552126181.259 * [taylor]: Taking taylor expansion of n in n
1552126181.259 * [backup-simplify]: Simplify 0 into 0
1552126181.259 * [backup-simplify]: Simplify 1 into 1
1552126181.260 * [backup-simplify]: Simplify (/ PI 1) into PI
1552126181.260 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552126181.261 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552126181.261 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552126181.261 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1552126181.262 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1552126181.263 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552126181.264 * [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)))
1552126181.265 * [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))))
1552126181.265 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
1552126181.265 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
1552126181.265 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1552126181.265 * [taylor]: Taking taylor expansion of 1/2 in k
1552126181.265 * [backup-simplify]: Simplify 1/2 into 1/2
1552126181.265 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1552126181.265 * [taylor]: Taking taylor expansion of 1/2 in k
1552126181.265 * [backup-simplify]: Simplify 1/2 into 1/2
1552126181.265 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552126181.265 * [taylor]: Taking taylor expansion of k in k
1552126181.265 * [backup-simplify]: Simplify 0 into 0
1552126181.265 * [backup-simplify]: Simplify 1 into 1
1552126181.266 * [backup-simplify]: Simplify (/ 1 1) into 1
1552126181.266 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1552126181.266 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1552126181.266 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1552126181.266 * [taylor]: Taking taylor expansion of 2 in k
1552126181.266 * [backup-simplify]: Simplify 2 into 2
1552126181.266 * [taylor]: Taking taylor expansion of PI in k
1552126181.266 * [backup-simplify]: Simplify PI into PI
1552126181.266 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552126181.267 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552126181.267 * [taylor]: Taking taylor expansion of (log n) in k
1552126181.267 * [taylor]: Taking taylor expansion of n in k
1552126181.267 * [backup-simplify]: Simplify n into n
1552126181.267 * [backup-simplify]: Simplify (log n) into (log n)
1552126181.268 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1552126181.268 * [backup-simplify]: Simplify (- 1/2) into -1/2
1552126181.269 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1552126181.269 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1552126181.270 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1552126181.271 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1552126181.272 * [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))))
1552126181.273 * [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))))
1552126181.274 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1552126181.275 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1552126181.276 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1552126181.277 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1552126181.277 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1552126181.277 * [backup-simplify]: Simplify (- 0) into 0
1552126181.278 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126181.279 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552126181.280 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1552126181.282 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1552126181.282 * [taylor]: Taking taylor expansion of 0 in k
1552126181.282 * [backup-simplify]: Simplify 0 into 0
1552126181.282 * [backup-simplify]: Simplify 0 into 0
1552126181.282 * [backup-simplify]: Simplify 0 into 0
1552126181.283 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552126181.284 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1552126181.287 * [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
1552126181.288 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1552126181.289 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1552126181.289 * [backup-simplify]: Simplify (- 0) into 0
1552126181.289 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126181.291 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552126181.292 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
1552126181.294 * [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
1552126181.294 * [taylor]: Taking taylor expansion of 0 in k
1552126181.295 * [backup-simplify]: Simplify 0 into 0
1552126181.295 * [backup-simplify]: Simplify 0 into 0
1552126181.295 * [backup-simplify]: Simplify 0 into 0
1552126181.295 * [backup-simplify]: Simplify 0 into 0
1552126181.296 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552126181.297 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1552126181.303 * [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
1552126181.303 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1552126181.304 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
1552126181.305 * [backup-simplify]: Simplify (- 0) into 0
1552126181.305 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126181.306 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552126181.308 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
1552126181.311 * [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
1552126181.311 * [taylor]: Taking taylor expansion of 0 in k
1552126181.311 * [backup-simplify]: Simplify 0 into 0
1552126181.311 * [backup-simplify]: Simplify 0 into 0
1552126181.312 * [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)))))
1552126181.313 * [backup-simplify]: Simplify (pow (* (* (/ 1 (- n)) 2) PI) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))
1552126181.313 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0
1552126181.313 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1552126181.313 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
1552126181.313 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
1552126181.313 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1552126181.313 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1552126181.313 * [taylor]: Taking taylor expansion of 1/2 in k
1552126181.313 * [backup-simplify]: Simplify 1/2 into 1/2
1552126181.313 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552126181.313 * [taylor]: Taking taylor expansion of k in k
1552126181.313 * [backup-simplify]: Simplify 0 into 0
1552126181.313 * [backup-simplify]: Simplify 1 into 1
1552126181.313 * [backup-simplify]: Simplify (/ 1 1) into 1
1552126181.313 * [taylor]: Taking taylor expansion of 1/2 in k
1552126181.313 * [backup-simplify]: Simplify 1/2 into 1/2
1552126181.313 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
1552126181.313 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
1552126181.313 * [taylor]: Taking taylor expansion of -2 in k
1552126181.314 * [backup-simplify]: Simplify -2 into -2
1552126181.314 * [taylor]: Taking taylor expansion of (/ PI n) in k
1552126181.314 * [taylor]: Taking taylor expansion of PI in k
1552126181.314 * [backup-simplify]: Simplify PI into PI
1552126181.314 * [taylor]: Taking taylor expansion of n in k
1552126181.314 * [backup-simplify]: Simplify n into n
1552126181.314 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1552126181.314 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1552126181.314 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1552126181.314 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1552126181.315 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1552126181.315 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1552126181.315 * [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)))
1552126181.315 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1552126181.315 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1552126181.315 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1552126181.315 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1552126181.315 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552126181.315 * [taylor]: Taking taylor expansion of 1/2 in n
1552126181.315 * [backup-simplify]: Simplify 1/2 into 1/2
1552126181.315 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552126181.315 * [taylor]: Taking taylor expansion of k in n
1552126181.315 * [backup-simplify]: Simplify k into k
1552126181.315 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552126181.315 * [taylor]: Taking taylor expansion of 1/2 in n
1552126181.315 * [backup-simplify]: Simplify 1/2 into 1/2
1552126181.315 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1552126181.316 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1552126181.316 * [taylor]: Taking taylor expansion of -2 in n
1552126181.316 * [backup-simplify]: Simplify -2 into -2
1552126181.316 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552126181.316 * [taylor]: Taking taylor expansion of PI in n
1552126181.316 * [backup-simplify]: Simplify PI into PI
1552126181.316 * [taylor]: Taking taylor expansion of n in n
1552126181.316 * [backup-simplify]: Simplify 0 into 0
1552126181.316 * [backup-simplify]: Simplify 1 into 1
1552126181.316 * [backup-simplify]: Simplify (/ PI 1) into PI
1552126181.317 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552126181.318 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1552126181.318 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552126181.318 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1552126181.319 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552126181.320 * [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)))
1552126181.321 * [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))))
1552126181.321 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1552126181.321 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1552126181.321 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1552126181.321 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1552126181.321 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552126181.321 * [taylor]: Taking taylor expansion of 1/2 in n
1552126181.321 * [backup-simplify]: Simplify 1/2 into 1/2
1552126181.322 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552126181.322 * [taylor]: Taking taylor expansion of k in n
1552126181.322 * [backup-simplify]: Simplify k into k
1552126181.322 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552126181.322 * [taylor]: Taking taylor expansion of 1/2 in n
1552126181.322 * [backup-simplify]: Simplify 1/2 into 1/2
1552126181.322 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1552126181.322 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1552126181.322 * [taylor]: Taking taylor expansion of -2 in n
1552126181.322 * [backup-simplify]: Simplify -2 into -2
1552126181.322 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552126181.322 * [taylor]: Taking taylor expansion of PI in n
1552126181.322 * [backup-simplify]: Simplify PI into PI
1552126181.322 * [taylor]: Taking taylor expansion of n in n
1552126181.322 * [backup-simplify]: Simplify 0 into 0
1552126181.322 * [backup-simplify]: Simplify 1 into 1
1552126181.322 * [backup-simplify]: Simplify (/ PI 1) into PI
1552126181.323 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552126181.324 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1552126181.324 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552126181.324 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1552126181.325 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552126181.327 * [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)))
1552126181.328 * [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))))
1552126181.328 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
1552126181.328 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
1552126181.328 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1552126181.328 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1552126181.328 * [taylor]: Taking taylor expansion of 1/2 in k
1552126181.328 * [backup-simplify]: Simplify 1/2 into 1/2
1552126181.328 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552126181.328 * [taylor]: Taking taylor expansion of k in k
1552126181.328 * [backup-simplify]: Simplify 0 into 0
1552126181.328 * [backup-simplify]: Simplify 1 into 1
1552126181.329 * [backup-simplify]: Simplify (/ 1 1) into 1
1552126181.329 * [taylor]: Taking taylor expansion of 1/2 in k
1552126181.329 * [backup-simplify]: Simplify 1/2 into 1/2
1552126181.329 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
1552126181.329 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
1552126181.329 * [taylor]: Taking taylor expansion of (* -2 PI) in k
1552126181.329 * [taylor]: Taking taylor expansion of -2 in k
1552126181.329 * [backup-simplify]: Simplify -2 into -2
1552126181.329 * [taylor]: Taking taylor expansion of PI in k
1552126181.329 * [backup-simplify]: Simplify PI into PI
1552126181.329 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552126181.334 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1552126181.334 * [taylor]: Taking taylor expansion of (log n) in k
1552126181.334 * [taylor]: Taking taylor expansion of n in k
1552126181.334 * [backup-simplify]: Simplify n into n
1552126181.334 * [backup-simplify]: Simplify (log n) into (log n)
1552126181.334 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1552126181.335 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1552126181.335 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1552126181.336 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
1552126181.337 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
1552126181.338 * [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))))
1552126181.339 * [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))))
1552126181.340 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1552126181.341 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1552126181.343 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1552126181.343 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1552126181.343 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1552126181.344 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126181.345 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552126181.346 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1552126181.348 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1552126181.348 * [taylor]: Taking taylor expansion of 0 in k
1552126181.348 * [backup-simplify]: Simplify 0 into 0
1552126181.348 * [backup-simplify]: Simplify 0 into 0
1552126181.348 * [backup-simplify]: Simplify 0 into 0
1552126181.349 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552126181.350 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1552126181.354 * [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
1552126181.354 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1552126181.355 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1552126181.355 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126181.357 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552126181.358 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
1552126181.361 * [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
1552126181.361 * [taylor]: Taking taylor expansion of 0 in k
1552126181.361 * [backup-simplify]: Simplify 0 into 0
1552126181.361 * [backup-simplify]: Simplify 0 into 0
1552126181.361 * [backup-simplify]: Simplify 0 into 0
1552126181.361 * [backup-simplify]: Simplify 0 into 0
1552126181.362 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552126181.363 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1552126181.369 * [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
1552126181.369 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1552126181.370 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
1552126181.371 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126181.372 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552126181.374 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
1552126181.375 * [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
1552126181.375 * [taylor]: Taking taylor expansion of 0 in k
1552126181.375 * [backup-simplify]: Simplify 0 into 0
1552126181.375 * [backup-simplify]: Simplify 0 into 0
1552126181.376 * [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)))))
1552126181.376 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1)
1552126181.376 * [backup-simplify]: Simplify (* (* n 2) PI) into (* 2 (* n PI))
1552126181.376 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
1552126181.376 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1552126181.376 * [taylor]: Taking taylor expansion of 2 in n
1552126181.376 * [backup-simplify]: Simplify 2 into 2
1552126181.376 * [taylor]: Taking taylor expansion of (* n PI) in n
1552126181.376 * [taylor]: Taking taylor expansion of n in n
1552126181.376 * [backup-simplify]: Simplify 0 into 0
1552126181.376 * [backup-simplify]: Simplify 1 into 1
1552126181.376 * [taylor]: Taking taylor expansion of PI in n
1552126181.376 * [backup-simplify]: Simplify PI into PI
1552126181.376 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1552126181.376 * [taylor]: Taking taylor expansion of 2 in n
1552126181.376 * [backup-simplify]: Simplify 2 into 2
1552126181.376 * [taylor]: Taking taylor expansion of (* n PI) in n
1552126181.376 * [taylor]: Taking taylor expansion of n in n
1552126181.376 * [backup-simplify]: Simplify 0 into 0
1552126181.376 * [backup-simplify]: Simplify 1 into 1
1552126181.376 * [taylor]: Taking taylor expansion of PI in n
1552126181.376 * [backup-simplify]: Simplify PI into PI
1552126181.377 * [backup-simplify]: Simplify (* 0 PI) into 0
1552126181.377 * [backup-simplify]: Simplify (* 2 0) into 0
1552126181.377 * [backup-simplify]: Simplify 0 into 0
1552126181.378 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552126181.379 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1552126181.379 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552126181.380 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1552126181.380 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1552126181.380 * [backup-simplify]: Simplify 0 into 0
1552126181.381 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1552126181.382 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1552126181.382 * [backup-simplify]: Simplify 0 into 0
1552126181.382 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1552126181.383 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1552126181.383 * [backup-simplify]: Simplify 0 into 0
1552126181.384 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1552126181.385 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
1552126181.385 * [backup-simplify]: Simplify 0 into 0
1552126181.386 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1552126181.387 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
1552126181.387 * [backup-simplify]: Simplify 0 into 0
1552126181.388 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
1552126181.389 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
1552126181.389 * [backup-simplify]: Simplify 0 into 0
1552126181.389 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
1552126181.389 * [backup-simplify]: Simplify (* (* (/ 1 n) 2) PI) into (* 2 (/ PI n))
1552126181.389 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
1552126181.390 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1552126181.390 * [taylor]: Taking taylor expansion of 2 in n
1552126181.390 * [backup-simplify]: Simplify 2 into 2
1552126181.390 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552126181.390 * [taylor]: Taking taylor expansion of PI in n
1552126181.390 * [backup-simplify]: Simplify PI into PI
1552126181.390 * [taylor]: Taking taylor expansion of n in n
1552126181.390 * [backup-simplify]: Simplify 0 into 0
1552126181.390 * [backup-simplify]: Simplify 1 into 1
1552126181.390 * [backup-simplify]: Simplify (/ PI 1) into PI
1552126181.390 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1552126181.390 * [taylor]: Taking taylor expansion of 2 in n
1552126181.390 * [backup-simplify]: Simplify 2 into 2
1552126181.390 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552126181.390 * [taylor]: Taking taylor expansion of PI in n
1552126181.390 * [backup-simplify]: Simplify PI into PI
1552126181.390 * [taylor]: Taking taylor expansion of n in n
1552126181.390 * [backup-simplify]: Simplify 0 into 0
1552126181.390 * [backup-simplify]: Simplify 1 into 1
1552126181.390 * [backup-simplify]: Simplify (/ PI 1) into PI
1552126181.391 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552126181.391 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552126181.391 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1552126181.392 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1552126181.392 * [backup-simplify]: Simplify 0 into 0
1552126181.393 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552126181.393 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1552126181.393 * [backup-simplify]: Simplify 0 into 0
1552126181.394 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552126181.394 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1552126181.394 * [backup-simplify]: Simplify 0 into 0
1552126181.395 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552126181.396 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1552126181.396 * [backup-simplify]: Simplify 0 into 0
1552126181.396 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552126181.397 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1552126181.397 * [backup-simplify]: Simplify 0 into 0
1552126181.398 * [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
1552126181.399 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1552126181.399 * [backup-simplify]: Simplify 0 into 0
1552126181.399 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
1552126181.399 * [backup-simplify]: Simplify (* (* (/ 1 (- n)) 2) PI) into (* -2 (/ PI n))
1552126181.399 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
1552126181.399 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1552126181.399 * [taylor]: Taking taylor expansion of -2 in n
1552126181.399 * [backup-simplify]: Simplify -2 into -2
1552126181.399 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552126181.399 * [taylor]: Taking taylor expansion of PI in n
1552126181.399 * [backup-simplify]: Simplify PI into PI
1552126181.399 * [taylor]: Taking taylor expansion of n in n
1552126181.399 * [backup-simplify]: Simplify 0 into 0
1552126181.399 * [backup-simplify]: Simplify 1 into 1
1552126181.400 * [backup-simplify]: Simplify (/ PI 1) into PI
1552126181.400 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1552126181.400 * [taylor]: Taking taylor expansion of -2 in n
1552126181.400 * [backup-simplify]: Simplify -2 into -2
1552126181.400 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552126181.400 * [taylor]: Taking taylor expansion of PI in n
1552126181.400 * [backup-simplify]: Simplify PI into PI
1552126181.400 * [taylor]: Taking taylor expansion of n in n
1552126181.400 * [backup-simplify]: Simplify 0 into 0
1552126181.400 * [backup-simplify]: Simplify 1 into 1
1552126181.400 * [backup-simplify]: Simplify (/ PI 1) into PI
1552126181.400 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552126181.401 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552126181.401 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1552126181.402 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1552126181.402 * [backup-simplify]: Simplify 0 into 0
1552126181.402 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552126181.403 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1552126181.403 * [backup-simplify]: Simplify 0 into 0
1552126181.403 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552126181.404 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1552126181.404 * [backup-simplify]: Simplify 0 into 0
1552126181.405 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552126181.406 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1552126181.406 * [backup-simplify]: Simplify 0 into 0
1552126181.406 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552126181.407 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1552126181.407 * [backup-simplify]: Simplify 0 into 0
1552126181.408 * [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
1552126181.409 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1552126181.409 * [backup-simplify]: Simplify 0 into 0
1552126181.409 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
1552126181.409 * * * * [progress]: [ 3 / 3 ] generating series at (2)
1552126181.409 * [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))))
1552126181.409 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0
1552126181.409 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
1552126181.409 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
1552126181.409 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552126181.409 * [taylor]: Taking taylor expansion of k in k
1552126181.409 * [backup-simplify]: Simplify 0 into 0
1552126181.409 * [backup-simplify]: Simplify 1 into 1
1552126181.410 * [backup-simplify]: Simplify (/ 1 1) into 1
1552126181.410 * [backup-simplify]: Simplify (sqrt 0) into 0
1552126181.412 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1552126181.412 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1552126181.412 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1552126181.412 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1552126181.412 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1552126181.412 * [taylor]: Taking taylor expansion of 1/2 in k
1552126181.412 * [backup-simplify]: Simplify 1/2 into 1/2
1552126181.412 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1552126181.412 * [taylor]: Taking taylor expansion of 1/2 in k
1552126181.412 * [backup-simplify]: Simplify 1/2 into 1/2
1552126181.412 * [taylor]: Taking taylor expansion of k in k
1552126181.412 * [backup-simplify]: Simplify 0 into 0
1552126181.412 * [backup-simplify]: Simplify 1 into 1
1552126181.412 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1552126181.412 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1552126181.412 * [taylor]: Taking taylor expansion of 2 in k
1552126181.412 * [backup-simplify]: Simplify 2 into 2
1552126181.412 * [taylor]: Taking taylor expansion of (* n PI) in k
1552126181.412 * [taylor]: Taking taylor expansion of n in k
1552126181.412 * [backup-simplify]: Simplify n into n
1552126181.412 * [taylor]: Taking taylor expansion of PI in k
1552126181.412 * [backup-simplify]: Simplify PI into PI
1552126181.412 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1552126181.412 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1552126181.412 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1552126181.413 * [backup-simplify]: Simplify (* 1/2 0) into 0
1552126181.413 * [backup-simplify]: Simplify (- 0) into 0
1552126181.414 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1552126181.414 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1552126181.414 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1552126181.414 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
1552126181.414 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
1552126181.414 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552126181.414 * [taylor]: Taking taylor expansion of k in n
1552126181.414 * [backup-simplify]: Simplify k into k
1552126181.414 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552126181.414 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
1552126181.414 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1552126181.414 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
1552126181.414 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1552126181.414 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1552126181.414 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1552126181.415 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1552126181.415 * [taylor]: Taking taylor expansion of 1/2 in n
1552126181.415 * [backup-simplify]: Simplify 1/2 into 1/2
1552126181.415 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
1552126181.415 * [taylor]: Taking taylor expansion of 1/2 in n
1552126181.415 * [backup-simplify]: Simplify 1/2 into 1/2
1552126181.415 * [taylor]: Taking taylor expansion of k in n
1552126181.415 * [backup-simplify]: Simplify k into k
1552126181.415 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1552126181.415 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1552126181.415 * [taylor]: Taking taylor expansion of 2 in n
1552126181.415 * [backup-simplify]: Simplify 2 into 2
1552126181.415 * [taylor]: Taking taylor expansion of (* n PI) in n
1552126181.415 * [taylor]: Taking taylor expansion of n in n
1552126181.415 * [backup-simplify]: Simplify 0 into 0
1552126181.415 * [backup-simplify]: Simplify 1 into 1
1552126181.415 * [taylor]: Taking taylor expansion of PI in n
1552126181.415 * [backup-simplify]: Simplify PI into PI
1552126181.415 * [backup-simplify]: Simplify (* 0 PI) into 0
1552126181.416 * [backup-simplify]: Simplify (* 2 0) into 0
1552126181.417 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552126181.419 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1552126181.420 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552126181.420 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
1552126181.420 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1552126181.420 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1552126181.421 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552126181.423 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
1552126181.424 * [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)))))
1552126181.424 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
1552126181.424 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
1552126181.424 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552126181.424 * [taylor]: Taking taylor expansion of k in n
1552126181.424 * [backup-simplify]: Simplify k into k
1552126181.424 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552126181.424 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
1552126181.424 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1552126181.424 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
1552126181.424 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1552126181.424 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1552126181.424 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1552126181.424 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1552126181.424 * [taylor]: Taking taylor expansion of 1/2 in n
1552126181.424 * [backup-simplify]: Simplify 1/2 into 1/2
1552126181.424 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
1552126181.424 * [taylor]: Taking taylor expansion of 1/2 in n
1552126181.424 * [backup-simplify]: Simplify 1/2 into 1/2
1552126181.424 * [taylor]: Taking taylor expansion of k in n
1552126181.424 * [backup-simplify]: Simplify k into k
1552126181.424 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1552126181.425 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1552126181.425 * [taylor]: Taking taylor expansion of 2 in n
1552126181.425 * [backup-simplify]: Simplify 2 into 2
1552126181.425 * [taylor]: Taking taylor expansion of (* n PI) in n
1552126181.425 * [taylor]: Taking taylor expansion of n in n
1552126181.425 * [backup-simplify]: Simplify 0 into 0
1552126181.425 * [backup-simplify]: Simplify 1 into 1
1552126181.425 * [taylor]: Taking taylor expansion of PI in n
1552126181.425 * [backup-simplify]: Simplify PI into PI
1552126181.425 * [backup-simplify]: Simplify (* 0 PI) into 0
1552126181.426 * [backup-simplify]: Simplify (* 2 0) into 0
1552126181.427 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552126181.429 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1552126181.429 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552126181.430 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
1552126181.430 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1552126181.430 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1552126181.431 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552126181.431 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
1552126181.432 * [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)))))
1552126181.433 * [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)))
1552126181.433 * [taylor]: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k
1552126181.433 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
1552126181.433 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
1552126181.433 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1552126181.433 * [taylor]: Taking taylor expansion of 1/2 in k
1552126181.433 * [backup-simplify]: Simplify 1/2 into 1/2
1552126181.433 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1552126181.433 * [taylor]: Taking taylor expansion of 1/2 in k
1552126181.433 * [backup-simplify]: Simplify 1/2 into 1/2
1552126181.433 * [taylor]: Taking taylor expansion of k in k
1552126181.433 * [backup-simplify]: Simplify 0 into 0
1552126181.433 * [backup-simplify]: Simplify 1 into 1
1552126181.433 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1552126181.433 * [taylor]: Taking taylor expansion of (log n) in k
1552126181.433 * [taylor]: Taking taylor expansion of n in k
1552126181.433 * [backup-simplify]: Simplify n into n
1552126181.433 * [backup-simplify]: Simplify (log n) into (log n)
1552126181.433 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1552126181.433 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1552126181.433 * [taylor]: Taking taylor expansion of 2 in k
1552126181.433 * [backup-simplify]: Simplify 2 into 2
1552126181.433 * [taylor]: Taking taylor expansion of PI in k
1552126181.433 * [backup-simplify]: Simplify PI into PI
1552126181.433 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552126181.434 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552126181.434 * [backup-simplify]: Simplify (* 1/2 0) into 0
1552126181.434 * [backup-simplify]: Simplify (- 0) into 0
1552126181.435 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1552126181.435 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552126181.436 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
1552126181.437 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1552126181.437 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
1552126181.437 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552126181.437 * [taylor]: Taking taylor expansion of k in k
1552126181.437 * [backup-simplify]: Simplify 0 into 0
1552126181.437 * [backup-simplify]: Simplify 1 into 1
1552126181.437 * [backup-simplify]: Simplify (/ 1 1) into 1
1552126181.437 * [backup-simplify]: Simplify (sqrt 0) into 0
1552126181.438 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1552126181.439 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0
1552126181.439 * [backup-simplify]: Simplify 0 into 0
1552126181.440 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1552126181.440 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1552126181.441 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1552126181.441 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
1552126181.442 * [backup-simplify]: Simplify (- 0) into 0
1552126181.442 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126181.445 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552126181.445 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1552126181.446 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
1552126181.447 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0
1552126181.447 * [taylor]: Taking taylor expansion of 0 in k
1552126181.447 * [backup-simplify]: Simplify 0 into 0
1552126181.448 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1552126181.448 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1552126181.449 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1552126181.449 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126181.450 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1552126181.450 * [backup-simplify]: Simplify (- 1/2) into -1/2
1552126181.450 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1552126181.451 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
1552126181.453 * [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)))))))
1552126181.455 * [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)))))))
1552126181.456 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
1552126181.457 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1552126181.457 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1552126181.459 * [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
1552126181.459 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
1552126181.460 * [backup-simplify]: Simplify (- 0) into 0
1552126181.460 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126181.461 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552126181.462 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1552126181.464 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1552126181.464 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1552126181.465 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
1552126181.467 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0
1552126181.467 * [taylor]: Taking taylor expansion of 0 in k
1552126181.467 * [backup-simplify]: Simplify 0 into 0
1552126181.467 * [backup-simplify]: Simplify 0 into 0
1552126181.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1552126181.470 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1552126181.472 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
1552126181.473 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1552126181.476 * [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
1552126181.476 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126181.477 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1552126181.478 * [backup-simplify]: Simplify (- 0) into 0
1552126181.478 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126181.480 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1552126181.484 * [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)))))
1552126181.492 * [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))))))))
1552126181.497 * [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))))))))
1552126181.498 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1552126181.500 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1552126181.506 * [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
1552126181.507 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0
1552126181.507 * [backup-simplify]: Simplify (- 0) into 0
1552126181.508 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126181.509 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552126181.511 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
1552126181.514 * [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
1552126181.514 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1552126181.515 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0
1552126181.517 * [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
1552126181.517 * [taylor]: Taking taylor expansion of 0 in k
1552126181.517 * [backup-simplify]: Simplify 0 into 0
1552126181.517 * [backup-simplify]: Simplify 0 into 0
1552126181.517 * [backup-simplify]: Simplify 0 into 0
1552126181.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552126181.522 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1552126181.524 * [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
1552126181.526 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1552126181.531 * [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
1552126181.531 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126181.533 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
1552126181.533 * [backup-simplify]: Simplify (- 0) into 0
1552126181.533 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126181.536 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
1552126181.542 * [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)))))))
1552126181.553 * [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))))))))))))))
1552126181.561 * [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))))))))))))))
1552126181.572 * [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))))))))))))))))))))))
1552126181.572 * [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)))))
1552126181.572 * [approximate]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0
1552126181.572 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
1552126181.572 * [taylor]: Taking taylor expansion of (sqrt k) in k
1552126181.572 * [taylor]: Taking taylor expansion of k in k
1552126181.572 * [backup-simplify]: Simplify 0 into 0
1552126181.572 * [backup-simplify]: Simplify 1 into 1
1552126181.573 * [backup-simplify]: Simplify (sqrt 0) into 0
1552126181.574 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1552126181.574 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
1552126181.574 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1552126181.574 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1552126181.574 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1552126181.574 * [taylor]: Taking taylor expansion of 1/2 in k
1552126181.574 * [backup-simplify]: Simplify 1/2 into 1/2
1552126181.574 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1552126181.574 * [taylor]: Taking taylor expansion of 1/2 in k
1552126181.574 * [backup-simplify]: Simplify 1/2 into 1/2
1552126181.574 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552126181.574 * [taylor]: Taking taylor expansion of k in k
1552126181.574 * [backup-simplify]: Simplify 0 into 0
1552126181.574 * [backup-simplify]: Simplify 1 into 1
1552126181.574 * [backup-simplify]: Simplify (/ 1 1) into 1
1552126181.574 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
1552126181.574 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
1552126181.574 * [taylor]: Taking taylor expansion of 2 in k
1552126181.574 * [backup-simplify]: Simplify 2 into 2
1552126181.574 * [taylor]: Taking taylor expansion of (/ PI n) in k
1552126181.574 * [taylor]: Taking taylor expansion of PI in k
1552126181.574 * [backup-simplify]: Simplify PI into PI
1552126181.574 * [taylor]: Taking taylor expansion of n in k
1552126181.574 * [backup-simplify]: Simplify n into n
1552126181.574 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1552126181.574 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1552126181.574 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1552126181.575 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1552126181.575 * [backup-simplify]: Simplify (- 1/2) into -1/2
1552126181.575 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1552126181.575 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1552126181.575 * [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))))
1552126181.575 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1552126181.575 * [taylor]: Taking taylor expansion of (sqrt k) in n
1552126181.575 * [taylor]: Taking taylor expansion of k in n
1552126181.575 * [backup-simplify]: Simplify k into k
1552126181.575 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
1552126181.575 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
1552126181.576 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1552126181.576 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1552126181.576 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1552126181.576 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1552126181.576 * [taylor]: Taking taylor expansion of 1/2 in n
1552126181.576 * [backup-simplify]: Simplify 1/2 into 1/2
1552126181.576 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552126181.576 * [taylor]: Taking taylor expansion of 1/2 in n
1552126181.576 * [backup-simplify]: Simplify 1/2 into 1/2
1552126181.576 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552126181.576 * [taylor]: Taking taylor expansion of k in n
1552126181.576 * [backup-simplify]: Simplify k into k
1552126181.576 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552126181.576 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1552126181.576 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1552126181.576 * [taylor]: Taking taylor expansion of 2 in n
1552126181.576 * [backup-simplify]: Simplify 2 into 2
1552126181.576 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552126181.576 * [taylor]: Taking taylor expansion of PI in n
1552126181.576 * [backup-simplify]: Simplify PI into PI
1552126181.576 * [taylor]: Taking taylor expansion of n in n
1552126181.576 * [backup-simplify]: Simplify 0 into 0
1552126181.576 * [backup-simplify]: Simplify 1 into 1
1552126181.576 * [backup-simplify]: Simplify (/ PI 1) into PI
1552126181.576 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552126181.577 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552126181.577 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552126181.577 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1552126181.577 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1552126181.578 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552126181.579 * [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)))
1552126181.579 * [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))))
1552126181.579 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1552126181.579 * [taylor]: Taking taylor expansion of (sqrt k) in n
1552126181.579 * [taylor]: Taking taylor expansion of k in n
1552126181.579 * [backup-simplify]: Simplify k into k
1552126181.579 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
1552126181.580 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
1552126181.580 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1552126181.580 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1552126181.580 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1552126181.580 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1552126181.580 * [taylor]: Taking taylor expansion of 1/2 in n
1552126181.580 * [backup-simplify]: Simplify 1/2 into 1/2
1552126181.580 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552126181.580 * [taylor]: Taking taylor expansion of 1/2 in n
1552126181.580 * [backup-simplify]: Simplify 1/2 into 1/2
1552126181.580 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552126181.580 * [taylor]: Taking taylor expansion of k in n
1552126181.580 * [backup-simplify]: Simplify k into k
1552126181.580 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552126181.580 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1552126181.580 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1552126181.580 * [taylor]: Taking taylor expansion of 2 in n
1552126181.580 * [backup-simplify]: Simplify 2 into 2
1552126181.580 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552126181.580 * [taylor]: Taking taylor expansion of PI in n
1552126181.580 * [backup-simplify]: Simplify PI into PI
1552126181.580 * [taylor]: Taking taylor expansion of n in n
1552126181.580 * [backup-simplify]: Simplify 0 into 0
1552126181.580 * [backup-simplify]: Simplify 1 into 1
1552126181.580 * [backup-simplify]: Simplify (/ PI 1) into PI
1552126181.580 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552126181.581 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552126181.581 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552126181.581 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1552126181.581 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1552126181.583 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552126181.584 * [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)))
1552126181.585 * [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))))
1552126181.586 * [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))
1552126181.586 * [taylor]: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k
1552126181.586 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
1552126181.586 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
1552126181.586 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1552126181.586 * [taylor]: Taking taylor expansion of 1/2 in k
1552126181.586 * [backup-simplify]: Simplify 1/2 into 1/2
1552126181.586 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1552126181.586 * [taylor]: Taking taylor expansion of 1/2 in k
1552126181.586 * [backup-simplify]: Simplify 1/2 into 1/2
1552126181.586 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552126181.586 * [taylor]: Taking taylor expansion of k in k
1552126181.586 * [backup-simplify]: Simplify 0 into 0
1552126181.586 * [backup-simplify]: Simplify 1 into 1
1552126181.587 * [backup-simplify]: Simplify (/ 1 1) into 1
1552126181.587 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1552126181.587 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1552126181.587 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1552126181.587 * [taylor]: Taking taylor expansion of 2 in k
1552126181.587 * [backup-simplify]: Simplify 2 into 2
1552126181.587 * [taylor]: Taking taylor expansion of PI in k
1552126181.587 * [backup-simplify]: Simplify PI into PI
1552126181.587 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552126181.588 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552126181.588 * [taylor]: Taking taylor expansion of (log n) in k
1552126181.588 * [taylor]: Taking taylor expansion of n in k
1552126181.589 * [backup-simplify]: Simplify n into n
1552126181.589 * [backup-simplify]: Simplify (log n) into (log n)
1552126181.589 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1552126181.589 * [backup-simplify]: Simplify (- 1/2) into -1/2
1552126181.590 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1552126181.590 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1552126181.591 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1552126181.592 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1552126181.593 * [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))))
1552126181.593 * [taylor]: Taking taylor expansion of (sqrt k) in k
1552126181.593 * [taylor]: Taking taylor expansion of k in k
1552126181.593 * [backup-simplify]: Simplify 0 into 0
1552126181.593 * [backup-simplify]: Simplify 1 into 1
1552126181.593 * [backup-simplify]: Simplify (sqrt 0) into 0
1552126181.595 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1552126181.596 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0
1552126181.596 * [backup-simplify]: Simplify 0 into 0
1552126181.597 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1552126181.598 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1552126181.600 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1552126181.600 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1552126181.600 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1552126181.601 * [backup-simplify]: Simplify (- 0) into 0
1552126181.601 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126181.602 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552126181.604 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1552126181.605 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1552126181.607 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0
1552126181.607 * [taylor]: Taking taylor expansion of 0 in k
1552126181.607 * [backup-simplify]: Simplify 0 into 0
1552126181.607 * [backup-simplify]: Simplify 0 into 0
1552126181.608 * [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))))))
1552126181.609 * [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))))))
1552126181.611 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552126181.611 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1552126181.615 * [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
1552126181.615 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1552126181.616 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1552126181.616 * [backup-simplify]: Simplify (- 0) into 0
1552126181.617 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126181.618 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552126181.619 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
1552126181.622 * [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
1552126181.623 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
1552126181.624 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0
1552126181.624 * [taylor]: Taking taylor expansion of 0 in k
1552126181.624 * [backup-simplify]: Simplify 0 into 0
1552126181.624 * [backup-simplify]: Simplify 0 into 0
1552126181.624 * [backup-simplify]: Simplify 0 into 0
1552126181.628 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1552126181.629 * [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))))))
1552126181.631 * [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))))))
1552126181.632 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552126181.633 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1552126181.638 * [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
1552126181.639 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1552126181.640 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
1552126181.640 * [backup-simplify]: Simplify (- 0) into 0
1552126181.641 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126181.642 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552126181.644 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
1552126181.646 * [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
1552126181.647 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
1552126181.649 * [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
1552126181.649 * [taylor]: Taking taylor expansion of 0 in k
1552126181.649 * [backup-simplify]: Simplify 0 into 0
1552126181.649 * [backup-simplify]: Simplify 0 into 0
1552126181.649 * [backup-simplify]: Simplify 0 into 0
1552126181.649 * [backup-simplify]: Simplify 0 into 0
1552126181.653 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1552126181.655 * [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))))))
1552126181.656 * [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))))))
1552126181.661 * [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))))))))
1552126181.661 * [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)))
1552126181.661 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0
1552126181.661 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k
1552126181.661 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1552126181.661 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
1552126181.661 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
1552126181.661 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1552126181.661 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1552126181.661 * [taylor]: Taking taylor expansion of 1/2 in k
1552126181.661 * [backup-simplify]: Simplify 1/2 into 1/2
1552126181.661 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552126181.661 * [taylor]: Taking taylor expansion of k in k
1552126181.661 * [backup-simplify]: Simplify 0 into 0
1552126181.661 * [backup-simplify]: Simplify 1 into 1
1552126181.662 * [backup-simplify]: Simplify (/ 1 1) into 1
1552126181.662 * [taylor]: Taking taylor expansion of 1/2 in k
1552126181.662 * [backup-simplify]: Simplify 1/2 into 1/2
1552126181.662 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
1552126181.662 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
1552126181.662 * [taylor]: Taking taylor expansion of -2 in k
1552126181.662 * [backup-simplify]: Simplify -2 into -2
1552126181.662 * [taylor]: Taking taylor expansion of (/ PI n) in k
1552126181.662 * [taylor]: Taking taylor expansion of PI in k
1552126181.662 * [backup-simplify]: Simplify PI into PI
1552126181.662 * [taylor]: Taking taylor expansion of n in k
1552126181.662 * [backup-simplify]: Simplify n into n
1552126181.662 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1552126181.662 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1552126181.662 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1552126181.663 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1552126181.663 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1552126181.663 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1552126181.663 * [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)))
1552126181.663 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
1552126181.663 * [taylor]: Taking taylor expansion of (/ -1 k) in k
1552126181.664 * [taylor]: Taking taylor expansion of -1 in k
1552126181.664 * [backup-simplify]: Simplify -1 into -1
1552126181.664 * [taylor]: Taking taylor expansion of k in k
1552126181.664 * [backup-simplify]: Simplify 0 into 0
1552126181.664 * [backup-simplify]: Simplify 1 into 1
1552126181.664 * [backup-simplify]: Simplify (/ -1 1) into -1
1552126181.664 * [backup-simplify]: Simplify (sqrt 0) into 0
1552126181.666 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1552126181.666 * [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))))
1552126181.666 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n
1552126181.666 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1552126181.666 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1552126181.666 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1552126181.666 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1552126181.666 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552126181.666 * [taylor]: Taking taylor expansion of 1/2 in n
1552126181.666 * [backup-simplify]: Simplify 1/2 into 1/2
1552126181.666 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552126181.666 * [taylor]: Taking taylor expansion of k in n
1552126181.666 * [backup-simplify]: Simplify k into k
1552126181.667 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552126181.667 * [taylor]: Taking taylor expansion of 1/2 in n
1552126181.667 * [backup-simplify]: Simplify 1/2 into 1/2
1552126181.667 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1552126181.667 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1552126181.667 * [taylor]: Taking taylor expansion of -2 in n
1552126181.667 * [backup-simplify]: Simplify -2 into -2
1552126181.667 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552126181.667 * [taylor]: Taking taylor expansion of PI in n
1552126181.667 * [backup-simplify]: Simplify PI into PI
1552126181.667 * [taylor]: Taking taylor expansion of n in n
1552126181.667 * [backup-simplify]: Simplify 0 into 0
1552126181.667 * [backup-simplify]: Simplify 1 into 1
1552126181.667 * [backup-simplify]: Simplify (/ PI 1) into PI
1552126181.668 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552126181.669 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1552126181.669 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552126181.669 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1552126181.670 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552126181.671 * [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)))
1552126181.672 * [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))))
1552126181.673 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
1552126181.673 * [taylor]: Taking taylor expansion of (/ -1 k) in n
1552126181.673 * [taylor]: Taking taylor expansion of -1 in n
1552126181.673 * [backup-simplify]: Simplify -1 into -1
1552126181.673 * [taylor]: Taking taylor expansion of k in n
1552126181.673 * [backup-simplify]: Simplify k into k
1552126181.673 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
1552126181.673 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1552126181.673 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1552126181.673 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1552126181.674 * [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)))
1552126181.674 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n
1552126181.674 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1552126181.674 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1552126181.674 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1552126181.674 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1552126181.674 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552126181.674 * [taylor]: Taking taylor expansion of 1/2 in n
1552126181.674 * [backup-simplify]: Simplify 1/2 into 1/2
1552126181.674 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552126181.674 * [taylor]: Taking taylor expansion of k in n
1552126181.674 * [backup-simplify]: Simplify k into k
1552126181.674 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552126181.675 * [taylor]: Taking taylor expansion of 1/2 in n
1552126181.675 * [backup-simplify]: Simplify 1/2 into 1/2
1552126181.675 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1552126181.675 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1552126181.675 * [taylor]: Taking taylor expansion of -2 in n
1552126181.675 * [backup-simplify]: Simplify -2 into -2
1552126181.675 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552126181.675 * [taylor]: Taking taylor expansion of PI in n
1552126181.675 * [backup-simplify]: Simplify PI into PI
1552126181.675 * [taylor]: Taking taylor expansion of n in n
1552126181.675 * [backup-simplify]: Simplify 0 into 0
1552126181.675 * [backup-simplify]: Simplify 1 into 1
1552126181.675 * [backup-simplify]: Simplify (/ PI 1) into PI
1552126181.676 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552126181.677 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1552126181.677 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552126181.677 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1552126181.678 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552126181.679 * [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)))
1552126181.682 * [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))))
1552126181.683 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
1552126181.683 * [taylor]: Taking taylor expansion of (/ -1 k) in n
1552126181.683 * [taylor]: Taking taylor expansion of -1 in n
1552126181.683 * [backup-simplify]: Simplify -1 into -1
1552126181.683 * [taylor]: Taking taylor expansion of k in n
1552126181.683 * [backup-simplify]: Simplify k into k
1552126181.683 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
1552126181.683 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1552126181.683 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1552126181.683 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1552126181.685 * [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)))
1552126181.685 * [taylor]: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k
1552126181.685 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
1552126181.685 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
1552126181.685 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1552126181.685 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1552126181.685 * [taylor]: Taking taylor expansion of 1/2 in k
1552126181.685 * [backup-simplify]: Simplify 1/2 into 1/2
1552126181.685 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552126181.685 * [taylor]: Taking taylor expansion of k in k
1552126181.685 * [backup-simplify]: Simplify 0 into 0
1552126181.685 * [backup-simplify]: Simplify 1 into 1
1552126181.685 * [backup-simplify]: Simplify (/ 1 1) into 1
1552126181.685 * [taylor]: Taking taylor expansion of 1/2 in k
1552126181.685 * [backup-simplify]: Simplify 1/2 into 1/2
1552126181.685 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
1552126181.685 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
1552126181.685 * [taylor]: Taking taylor expansion of (* -2 PI) in k
1552126181.686 * [taylor]: Taking taylor expansion of -2 in k
1552126181.686 * [backup-simplify]: Simplify -2 into -2
1552126181.686 * [taylor]: Taking taylor expansion of PI in k
1552126181.686 * [backup-simplify]: Simplify PI into PI
1552126181.686 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552126181.687 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1552126181.687 * [taylor]: Taking taylor expansion of (log n) in k
1552126181.687 * [taylor]: Taking taylor expansion of n in k
1552126181.687 * [backup-simplify]: Simplify n into n
1552126181.687 * [backup-simplify]: Simplify (log n) into (log n)
1552126181.688 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1552126181.688 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1552126181.688 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1552126181.689 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
1552126181.690 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
1552126181.691 * [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))))
1552126181.691 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
1552126181.691 * [taylor]: Taking taylor expansion of (/ -1 k) in k
1552126181.691 * [taylor]: Taking taylor expansion of -1 in k
1552126181.691 * [backup-simplify]: Simplify -1 into -1
1552126181.691 * [taylor]: Taking taylor expansion of k in k
1552126181.691 * [backup-simplify]: Simplify 0 into 0
1552126181.691 * [backup-simplify]: Simplify 1 into 1
1552126181.692 * [backup-simplify]: Simplify (/ -1 1) into -1
1552126181.692 * [backup-simplify]: Simplify (sqrt 0) into 0
1552126181.693 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1552126181.694 * [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)))))
1552126181.696 * [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)))))
1552126181.696 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1552126181.697 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1552126181.699 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1552126181.699 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1552126181.700 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1552126181.700 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126181.701 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552126181.702 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1552126181.704 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1552126181.705 * [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
1552126181.706 * [taylor]: Taking taylor expansion of 0 in k
1552126181.706 * [backup-simplify]: Simplify 0 into 0
1552126181.706 * [backup-simplify]: Simplify 0 into 0
1552126181.706 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1552126181.709 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1552126181.711 * [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))))))
1552126181.712 * [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))))))
1552126181.713 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552126181.714 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1552126181.718 * [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
1552126181.718 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1552126181.720 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1552126181.720 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126181.721 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552126181.723 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
1552126181.725 * [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
1552126181.725 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1552126181.726 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
1552126181.727 * [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
1552126181.727 * [taylor]: Taking taylor expansion of 0 in k
1552126181.727 * [backup-simplify]: Simplify 0 into 0
1552126181.727 * [backup-simplify]: Simplify 0 into 0
1552126181.727 * [backup-simplify]: Simplify 0 into 0
1552126181.728 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552126181.732 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1552126181.736 * [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))))))
1552126181.737 * [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))))))
1552126181.741 * [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)))))))))))
1552126181.741 * * * [progress]: simplifying candidates
1552126181.741 * * * * [progress]: [ 1 / 86 ] simplifiying candidate #<alt (λ (k n) (/ (log1p (expm1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k)))>
1552126181.741 * * * * [progress]: [ 2 / 86 ] simplifiying candidate #<alt (λ (k n) (/ (expm1 (log1p (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k)))>
1552126181.741 * * * * [progress]: [ 3 / 86 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))) (sqrt k)))>
1552126181.741 * [simplify]: Simplifying (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))
1552126181.742 * * [simplify]: iters left: 6 (11 enodes)
1552126181.747 * * [simplify]: iters left: 5 (43 enodes)
1552126181.761 * * [simplify]: iters left: 4 (79 enodes)
1552126181.784 * * [simplify]: iters left: 3 (178 enodes)
1552126181.855 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126181.855 * * [simplify]: Extracting #1: cost 49 inf + 0
1552126181.856 * * [simplify]: Extracting #2: cost 115 inf + 1
1552126181.857 * * [simplify]: Extracting #3: cost 122 inf + 547
1552126181.859 * * [simplify]: Extracting #4: cost 98 inf + 3382
1552126181.866 * * [simplify]: Extracting #5: cost 29 inf + 17882
1552126181.876 * * [simplify]: Extracting #6: cost 1 inf + 26098
1552126181.889 * * [simplify]: Extracting #7: cost 0 inf + 26523
1552126181.901 * [simplify]: Simplified to (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))
1552126181.901 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))) (sqrt k)))
1552126181.901 * * * * [progress]: [ 4 / 86 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))) (sqrt k)))>
1552126181.902 * * * * [progress]: [ 5 / 86 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))>
1552126181.902 * [simplify]: Simplifying (* (* n 2) PI)
1552126181.902 * * [simplify]: iters left: 4 (5 enodes)
1552126181.905 * * [simplify]: iters left: 3 (19 enodes)
1552126181.911 * * [simplify]: iters left: 2 (27 enodes)
1552126181.919 * * [simplify]: iters left: 1 (32 enodes)
1552126181.926 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126181.926 * * [simplify]: Extracting #1: cost 8 inf + 0
1552126181.927 * * [simplify]: Extracting #2: cost 7 inf + 45
1552126181.927 * * [simplify]: Extracting #3: cost 0 inf + 421
1552126181.927 * [simplify]: Simplified to (* (* n 2) PI)
1552126181.927 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* n 2) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))
1552126181.927 * * * * [progress]: [ 6 / 86 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (/ k 2))) (sqrt k)))>
1552126181.928 * [simplify]: Simplifying (pow (* (* n 2) PI) (/ k 2))
1552126181.928 * * [simplify]: iters left: 5 (8 enodes)
1552126181.936 * * [simplify]: iters left: 4 (28 enodes)
1552126181.941 * * [simplify]: iters left: 3 (36 enodes)
1552126181.947 * * [simplify]: iters left: 2 (41 enodes)
1552126181.952 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126181.952 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126181.952 * * [simplify]: Extracting #2: cost 13 inf + 0
1552126181.952 * * [simplify]: Extracting #3: cost 12 inf + 4
1552126181.952 * * [simplify]: Extracting #4: cost 3 inf + 756
1552126181.952 * * [simplify]: Extracting #5: cost 0 inf + 1174
1552126181.953 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2))
1552126181.953 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (/ k 2))) (sqrt k)))
1552126181.953 * * * * [progress]: [ 7 / 86 ] 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)))>
1552126181.953 * [simplify]: Simplifying (cbrt (- 1/2 (/ k 2)))
1552126181.953 * * [simplify]: iters left: 5 (6 enodes)
1552126181.955 * * [simplify]: iters left: 4 (20 enodes)
1552126181.959 * * [simplify]: iters left: 3 (25 enodes)
1552126181.967 * * [simplify]: iters left: 2 (27 enodes)
1552126181.975 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126181.975 * * [simplify]: Extracting #1: cost 3 inf + 0
1552126181.975 * * [simplify]: Extracting #2: cost 7 inf + 0
1552126181.975 * * [simplify]: Extracting #3: cost 11 inf + 1
1552126181.975 * * [simplify]: Extracting #4: cost 9 inf + 44
1552126181.975 * * [simplify]: Extracting #5: cost 5 inf + 291
1552126181.976 * * [simplify]: Extracting #6: cost 1 inf + 662
1552126181.976 * * [simplify]: Extracting #7: cost 0 inf + 825
1552126181.976 * [simplify]: Simplified to (cbrt (- 1/2 (/ k 2)))
1552126181.976 * [simplify]: Simplified (2 1 2) to (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)))
1552126181.977 * * * * [progress]: [ 8 / 86 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (sqrt k)))>
1552126181.977 * [simplify]: Simplifying (sqrt (- 1/2 (/ k 2)))
1552126181.977 * * [simplify]: iters left: 5 (6 enodes)
1552126181.980 * * [simplify]: iters left: 4 (20 enodes)
1552126181.987 * * [simplify]: iters left: 3 (25 enodes)
1552126181.992 * * [simplify]: iters left: 2 (27 enodes)
1552126181.996 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126181.996 * * [simplify]: Extracting #1: cost 3 inf + 0
1552126181.996 * * [simplify]: Extracting #2: cost 7 inf + 0
1552126181.996 * * [simplify]: Extracting #3: cost 11 inf + 1
1552126181.996 * * [simplify]: Extracting #4: cost 9 inf + 44
1552126181.997 * * [simplify]: Extracting #5: cost 5 inf + 291
1552126181.997 * * [simplify]: Extracting #6: cost 1 inf + 622
1552126181.997 * * [simplify]: Extracting #7: cost 0 inf + 745
1552126181.997 * [simplify]: Simplified to (sqrt (- 1/2 (/ k 2)))
1552126181.997 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* (* n 2) PI) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (sqrt k)))
1552126181.997 * * * * [progress]: [ 9 / 86 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))) (sqrt k)))>
1552126181.997 * [simplify]: Simplifying (- 1/2 (/ k 2))
1552126181.997 * * [simplify]: iters left: 4 (5 enodes)
1552126181.999 * * [simplify]: iters left: 3 (17 enodes)
1552126182.002 * * [simplify]: iters left: 2 (22 enodes)
1552126182.006 * * [simplify]: iters left: 1 (24 enodes)
1552126182.009 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126182.009 * * [simplify]: Extracting #1: cost 5 inf + 0
1552126182.009 * * [simplify]: Extracting #2: cost 9 inf + 1
1552126182.010 * * [simplify]: Extracting #3: cost 1 inf + 458
1552126182.010 * * [simplify]: Extracting #4: cost 0 inf + 499
1552126182.010 * [simplify]: Simplified to (- 1/2 (/ k 2))
1552126182.010 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))) (sqrt k)))
1552126182.010 * * * * [progress]: [ 10 / 86 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt k)))>
1552126182.010 * [simplify]: Simplifying (pow (* (* n 2) PI) (- (/ k 2)))
1552126182.010 * * [simplify]: iters left: 5 (9 enodes)
1552126182.012 * * [simplify]: iters left: 4 (33 enodes)
1552126182.018 * * [simplify]: iters left: 3 (43 enodes)
1552126182.029 * * [simplify]: iters left: 2 (48 enodes)
1552126182.042 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126182.042 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126182.042 * * [simplify]: Extracting #2: cost 14 inf + 0
1552126182.042 * * [simplify]: Extracting #3: cost 16 inf + 45
1552126182.042 * * [simplify]: Extracting #4: cost 10 inf + 297
1552126182.043 * * [simplify]: Extracting #5: cost 4 inf + 629
1552126182.043 * * [simplify]: Extracting #6: cost 0 inf + 1500
1552126182.044 * [simplify]: Simplified to (pow (* (* PI 2) n) (- (/ k 2)))
1552126182.044 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* (* n 2) PI) 1/2) (pow (* (* PI 2) n) (- (/ k 2)))) (sqrt k)))
1552126182.044 * * * * [progress]: [ 11 / 86 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt k)))>
1552126182.044 * [simplify]: Simplifying (pow (* (* n 2) PI) (- (/ k 2)))
1552126182.044 * * [simplify]: iters left: 5 (9 enodes)
1552126182.050 * * [simplify]: iters left: 4 (33 enodes)
1552126182.060 * * [simplify]: iters left: 3 (43 enodes)
1552126182.073 * * [simplify]: iters left: 2 (48 enodes)
1552126182.085 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126182.085 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126182.085 * * [simplify]: Extracting #2: cost 14 inf + 0
1552126182.085 * * [simplify]: Extracting #3: cost 16 inf + 45
1552126182.085 * * [simplify]: Extracting #4: cost 10 inf + 297
1552126182.086 * * [simplify]: Extracting #5: cost 4 inf + 629
1552126182.086 * * [simplify]: Extracting #6: cost 0 inf + 1500
1552126182.087 * [simplify]: Simplified to (pow (* (* PI 2) n) (- (/ k 2)))
1552126182.087 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* (* n 2) PI) 1/2) (pow (* (* PI 2) n) (- (/ k 2)))) (sqrt k)))
1552126182.087 * * * * [progress]: [ 12 / 86 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))>
1552126182.087 * [simplify]: Simplifying (pow (* n 2) (- 1/2 (/ k 2)))
1552126182.087 * * [simplify]: iters left: 5 (8 enodes)
1552126182.092 * * [simplify]: iters left: 4 (27 enodes)
1552126182.100 * * [simplify]: iters left: 3 (32 enodes)
1552126182.110 * * [simplify]: iters left: 2 (34 enodes)
1552126182.120 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126182.120 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126182.120 * * [simplify]: Extracting #2: cost 11 inf + 0
1552126182.120 * * [simplify]: Extracting #3: cost 12 inf + 3
1552126182.121 * * [simplify]: Extracting #4: cost 8 inf + 171
1552126182.121 * * [simplify]: Extracting #5: cost 1 inf + 918
1552126182.121 * * [simplify]: Extracting #6: cost 0 inf + 1252
1552126182.122 * [simplify]: Simplified to (pow (* n 2) (- 1/2 (/ k 2)))
1552126182.122 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))
1552126182.122 * * * * [progress]: [ 13 / 86 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) (- 1/2 (/ k 2))) 1) (sqrt k)))>
1552126182.122 * * * * [progress]: [ 14 / 86 ] simplifiying candidate #<alt (λ (k n) (/ (exp (log (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k)))>
1552126182.122 * * * * [progress]: [ 15 / 86 ] simplifiying candidate #<alt (λ (k n) (/ (log (exp (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k)))>
1552126182.122 * * * * [progress]: [ 16 / 86 ] 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)))>
1552126182.122 * * * * [progress]: [ 17 / 86 ] 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)))>
1552126182.122 * * * * [progress]: [ 18 / 86 ] 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)))>
1552126182.122 * * * * [progress]: [ 19 / 86 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))>
1552126182.122 * * * * [progress]: [ 20 / 86 ] simplifiying candidate #<alt (λ (k n) (/ (posit16->real (real->posit16 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k)))>
1552126182.123 * * * * [progress]: [ 21 / 86 ] simplifiying candidate #<alt (λ (k n) (/ (pow (log1p (expm1 (* (* n 2) PI))) (- 1/2 (/ k 2))) (sqrt k)))>
1552126182.123 * * * * [progress]: [ 22 / 86 ] simplifiying candidate #<alt (λ (k n) (/ (pow (expm1 (log1p (* (* n 2) PI))) (- 1/2 (/ k 2))) (sqrt k)))>
1552126182.123 * * * * [progress]: [ 23 / 86 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))) (sqrt k)))>
1552126182.123 * * * * [progress]: [ 24 / 86 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (log (* (* n 2) PI))) (- 1/2 (/ k 2))) (sqrt k)))>
1552126182.123 * * * * [progress]: [ 25 / 86 ] simplifiying candidate #<alt (λ (k n) (/ (pow (log (exp (* (* n 2) PI))) (- 1/2 (/ k 2))) (sqrt k)))>
1552126182.123 * * * * [progress]: [ 26 / 86 ] 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)))>
1552126182.123 * * * * [progress]: [ 27 / 86 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (* (* (* (* n 2) PI) (* (* n 2) PI)) (* (* n 2) PI))) (- 1/2 (/ k 2))) (sqrt k)))>
1552126182.123 * * * * [progress]: [ 28 / 86 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (sqrt (* (* n 2) PI)) (sqrt (* (* n 2) PI))) (- 1/2 (/ k 2))) (sqrt k)))>
1552126182.123 * * * * [progress]: [ 29 / 86 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 1 (* (* n 2) PI)) (- 1/2 (/ k 2))) (sqrt k)))>
1552126182.123 * * * * [progress]: [ 30 / 86 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))>
1552126182.123 * * * * [progress]: [ 31 / 86 ] simplifiying candidate #<alt (λ (k n) (/ (pow (posit16->real (real->posit16 (* (* n 2) PI))) (- 1/2 (/ k 2))) (sqrt k)))>
1552126182.123 * * * * [progress]: [ 32 / 86 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))>
1552126182.123 * * * * [progress]: [ 33 / 86 ] simplifiying candidate #<alt (λ (k n) (log1p (expm1 (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))))>
1552126182.123 * * * * [progress]: [ 34 / 86 ] simplifiying candidate #<alt (λ (k n) (expm1 (log1p (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))))>
1552126182.123 * * * * [progress]: [ 35 / 86 ] simplifiying candidate #<alt (λ (k n) (pow (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)) 1))>
1552126182.123 * * * * [progress]: [ 36 / 86 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))))>
1552126182.124 * [simplify]: Simplifying (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))
1552126182.124 * * [simplify]: iters left: 6 (14 enodes)
1552126182.131 * * [simplify]: iters left: 5 (55 enodes)
1552126182.145 * * [simplify]: iters left: 4 (95 enodes)
1552126182.164 * * [simplify]: iters left: 3 (217 enodes)
1552126182.273 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126182.274 * * [simplify]: Extracting #1: cost 44 inf + 0
1552126182.274 * * [simplify]: Extracting #2: cost 144 inf + 1
1552126182.275 * * [simplify]: Extracting #3: cost 177 inf + 2
1552126182.278 * * [simplify]: Extracting #4: cost 168 inf + 620
1552126182.280 * * [simplify]: Extracting #5: cost 111 inf + 10524
1552126182.288 * * [simplify]: Extracting #6: cost 13 inf + 42678
1552126182.300 * * [simplify]: Extracting #7: cost 0 inf + 45688
1552126182.310 * * [simplify]: Extracting #8: cost 0 inf + 45673
1552126182.320 * [simplify]: Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))) (log (sqrt k)))
1552126182.320 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))) (log (sqrt k)))))
1552126182.320 * * * * [progress]: [ 37 / 86 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))))>
1552126182.320 * [simplify]: Simplifying (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))
1552126182.320 * * [simplify]: iters left: 6 (14 enodes)
1552126182.326 * * [simplify]: iters left: 5 (55 enodes)
1552126182.342 * * [simplify]: iters left: 4 (95 enodes)
1552126182.359 * * [simplify]: iters left: 3 (217 enodes)
1552126182.456 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126182.457 * * [simplify]: Extracting #1: cost 44 inf + 0
1552126182.457 * * [simplify]: Extracting #2: cost 144 inf + 1
1552126182.458 * * [simplify]: Extracting #3: cost 177 inf + 2
1552126182.459 * * [simplify]: Extracting #4: cost 168 inf + 620
1552126182.461 * * [simplify]: Extracting #5: cost 111 inf + 10524
1552126182.467 * * [simplify]: Extracting #6: cost 13 inf + 42678
1552126182.477 * * [simplify]: Extracting #7: cost 0 inf + 45688
1552126182.487 * * [simplify]: Extracting #8: cost 0 inf + 45673
1552126182.506 * [simplify]: Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))) (log (sqrt k)))
1552126182.506 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))) (log (sqrt k)))))
1552126182.507 * * * * [progress]: [ 38 / 86 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (log (sqrt k)))))>
1552126182.507 * [simplify]: Simplifying (- (log (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (log (sqrt k)))
1552126182.507 * * [simplify]: iters left: 6 (14 enodes)
1552126182.515 * * [simplify]: iters left: 5 (52 enodes)
1552126182.530 * * [simplify]: iters left: 4 (79 enodes)
1552126182.545 * * [simplify]: iters left: 3 (130 enodes)
1552126182.573 * * [simplify]: iters left: 2 (312 enodes)
1552126182.788 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126182.789 * * [simplify]: Extracting #1: cost 82 inf + 0
1552126182.790 * * [simplify]: Extracting #2: cost 238 inf + 1
1552126182.796 * * [simplify]: Extracting #3: cost 241 inf + 729
1552126182.801 * * [simplify]: Extracting #4: cost 179 inf + 13186
1552126182.826 * * [simplify]: Extracting #5: cost 28 inf + 65958
1552126182.856 * * [simplify]: Extracting #6: cost 0 inf + 76840
1552126182.873 * * [simplify]: Extracting #7: cost 0 inf + 76795
1552126182.897 * [simplify]: Simplified to (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))
1552126182.897 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))))
1552126182.898 * * * * [progress]: [ 39 / 86 ] simplifiying candidate #<alt (λ (k n) (exp (log (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))))>
1552126182.898 * * * * [progress]: [ 40 / 86 ] simplifiying candidate #<alt (λ (k n) (log (exp (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))))>
1552126182.898 * * * * [progress]: [ 41 / 86 ] 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)))))>
1552126182.898 * [simplify]: Simplifying (/ (* (* (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)))
1552126182.898 * * [simplify]: iters left: 6 (16 enodes)
1552126182.902 * * [simplify]: iters left: 5 (61 enodes)
1552126182.914 * * [simplify]: iters left: 4 (113 enodes)
1552126182.939 * * [simplify]: iters left: 3 (185 enodes)
1552126182.995 * * [simplify]: iters left: 2 (215 enodes)
1552126183.055 * * [simplify]: iters left: 1 (221 enodes)
1552126183.089 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126183.089 * * [simplify]: Extracting #1: cost 22 inf + 0
1552126183.089 * * [simplify]: Extracting #2: cost 41 inf + 123
1552126183.089 * * [simplify]: Extracting #3: cost 49 inf + 246
1552126183.090 * * [simplify]: Extracting #4: cost 51 inf + 250
1552126183.090 * * [simplify]: Extracting #5: cost 39 inf + 1291
1552126183.092 * * [simplify]: Extracting #6: cost 5 inf + 15749
1552126183.096 * * [simplify]: Extracting #7: cost 0 inf + 18264
1552126183.102 * [simplify]: Simplified to (/ (* (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) k))
1552126183.102 * [simplify]: Simplified (2 1) to (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) k))))
1552126183.102 * * * * [progress]: [ 42 / 86 ] 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)))))>
1552126183.102 * * * * [progress]: [ 43 / 86 ] 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)))))>
1552126183.102 * * * * [progress]: [ 44 / 86 ] 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)))))>
1552126183.103 * * * * [progress]: [ 45 / 86 ] simplifiying candidate #<alt (λ (k n) (/ (- (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (- (sqrt k))))>
1552126183.103 * * * * [progress]: [ 46 / 86 ] 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)))))>
1552126183.103 * [simplify]: Simplifying (/ (pow (* (* n 2) PI) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1552126183.103 * * [simplify]: iters left: 6 (12 enodes)
1552126183.109 * * [simplify]: iters left: 5 (43 enodes)
1552126183.122 * * [simplify]: iters left: 4 (53 enodes)
1552126183.133 * * [simplify]: iters left: 3 (59 enodes)
1552126183.142 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126183.142 * * [simplify]: Extracting #1: cost 6 inf + 0
1552126183.142 * * [simplify]: Extracting #2: cost 13 inf + 0
1552126183.142 * * [simplify]: Extracting #3: cost 21 inf + 1
1552126183.142 * * [simplify]: Extracting #4: cost 19 inf + 47
1552126183.142 * * [simplify]: Extracting #5: cost 12 inf + 460
1552126183.142 * * [simplify]: Extracting #6: cost 2 inf + 1923
1552126183.143 * * [simplify]: Extracting #7: cost 0 inf + 2531
1552126183.143 * [simplify]: Simplified to (/ (sqrt (* (* n 2) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1552126183.143 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* n 2) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* n 2) PI) (- (/ k 2))) (cbrt (sqrt k)))))
1552126183.144 * [simplify]: Simplifying (/ (pow (* (* n 2) PI) (- (/ k 2))) (cbrt (sqrt k)))
1552126183.144 * * [simplify]: iters left: 6 (12 enodes)
1552126183.147 * * [simplify]: iters left: 5 (42 enodes)
1552126183.153 * * [simplify]: iters left: 4 (52 enodes)
1552126183.160 * * [simplify]: iters left: 3 (58 enodes)
1552126183.174 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126183.174 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126183.174 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126183.174 * * [simplify]: Extracting #3: cost 21 inf + 0
1552126183.174 * * [simplify]: Extracting #4: cost 19 inf + 128
1552126183.175 * * [simplify]: Extracting #5: cost 4 inf + 1367
1552126183.175 * * [simplify]: Extracting #6: cost 1 inf + 2358
1552126183.176 * * [simplify]: Extracting #7: cost 0 inf + 2892
1552126183.177 * [simplify]: Simplified to (/ (pow (* n (* PI 2)) (- (/ k 2))) (cbrt (sqrt k)))
1552126183.177 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* n 2) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* PI 2)) (- (/ k 2))) (cbrt (sqrt k)))))
1552126183.177 * * * * [progress]: [ 47 / 86 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (sqrt k)))))>
1552126183.177 * [simplify]: Simplifying (/ (pow (* (* n 2) PI) 1/2) (sqrt (sqrt k)))
1552126183.177 * * [simplify]: iters left: 6 (11 enodes)
1552126183.183 * * [simplify]: iters left: 5 (38 enodes)
1552126183.190 * * [simplify]: iters left: 4 (46 enodes)
1552126183.197 * * [simplify]: iters left: 3 (51 enodes)
1552126183.203 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126183.204 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126183.204 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126183.204 * * [simplify]: Extracting #3: cost 17 inf + 1
1552126183.204 * * [simplify]: Extracting #4: cost 16 inf + 5
1552126183.204 * * [simplify]: Extracting #5: cost 2 inf + 913
1552126183.204 * * [simplify]: Extracting #6: cost 1 inf + 1157
1552126183.204 * * [simplify]: Extracting #7: cost 0 inf + 1401
1552126183.205 * [simplify]: Simplified to (/ (sqrt (* (* n 2) PI)) (sqrt (sqrt k)))
1552126183.205 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* n 2) PI)) (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (sqrt k)))))
1552126183.205 * [simplify]: Simplifying (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (sqrt k)))
1552126183.205 * * [simplify]: iters left: 6 (12 enodes)
1552126183.208 * * [simplify]: iters left: 5 (42 enodes)
1552126183.214 * * [simplify]: iters left: 4 (52 enodes)
1552126183.222 * * [simplify]: iters left: 3 (58 enodes)
1552126183.231 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126183.231 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126183.231 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126183.231 * * [simplify]: Extracting #3: cost 21 inf + 0
1552126183.231 * * [simplify]: Extracting #4: cost 19 inf + 128
1552126183.232 * * [simplify]: Extracting #5: cost 4 inf + 1287
1552126183.232 * * [simplify]: Extracting #6: cost 1 inf + 2238
1552126183.232 * * [simplify]: Extracting #7: cost 0 inf + 2732
1552126183.233 * [simplify]: Simplified to (/ (pow (* n (* PI 2)) (- (/ k 2))) (sqrt (sqrt k)))
1552126183.233 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* n 2) PI)) (sqrt (sqrt k))) (/ (pow (* n (* PI 2)) (- (/ k 2))) (sqrt (sqrt k)))))
1552126183.233 * * * * [progress]: [ 48 / 86 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) 1) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))))>
1552126183.233 * [simplify]: Simplifying (/ (pow (* (* n 2) PI) 1/2) 1)
1552126183.233 * * [simplify]: iters left: 6 (9 enodes)
1552126183.239 * * [simplify]: iters left: 5 (32 enodes)
1552126183.249 * * [simplify]: iters left: 4 (44 enodes)
1552126183.262 * * [simplify]: iters left: 3 (49 enodes)
1552126183.274 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126183.274 * * [simplify]: Extracting #1: cost 5 inf + 0
1552126183.275 * * [simplify]: Extracting #2: cost 10 inf + 2
1552126183.275 * * [simplify]: Extracting #3: cost 9 inf + 47
1552126183.275 * * [simplify]: Extracting #4: cost 0 inf + 669
1552126183.276 * [simplify]: Simplified to (sqrt (* (* PI 2) n))
1552126183.276 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))))
1552126183.276 * [simplify]: Simplifying (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))
1552126183.276 * * [simplify]: iters left: 6 (11 enodes)
1552126183.281 * * [simplify]: iters left: 5 (39 enodes)
1552126183.293 * * [simplify]: iters left: 4 (49 enodes)
1552126183.300 * * [simplify]: iters left: 3 (54 enodes)
1552126183.307 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126183.307 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126183.307 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126183.308 * * [simplify]: Extracting #3: cost 16 inf + 83
1552126183.308 * * [simplify]: Extracting #4: cost 16 inf + 169
1552126183.308 * * [simplify]: Extracting #5: cost 3 inf + 1500
1552126183.308 * * [simplify]: Extracting #6: cost 0 inf + 2490
1552126183.309 * [simplify]: Simplified to (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))
1552126183.309 * [simplify]: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))))
1552126183.309 * * * * [progress]: [ 49 / 86 ] 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)))))>
1552126183.309 * [simplify]: Simplifying (/ (pow (* (* n 2) PI) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1552126183.309 * * [simplify]: iters left: 6 (12 enodes)
1552126183.312 * * [simplify]: iters left: 5 (43 enodes)
1552126183.319 * * [simplify]: iters left: 4 (53 enodes)
1552126183.327 * * [simplify]: iters left: 3 (59 enodes)
1552126183.344 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126183.344 * * [simplify]: Extracting #1: cost 6 inf + 0
1552126183.344 * * [simplify]: Extracting #2: cost 13 inf + 0
1552126183.344 * * [simplify]: Extracting #3: cost 21 inf + 1
1552126183.344 * * [simplify]: Extracting #4: cost 19 inf + 47
1552126183.344 * * [simplify]: Extracting #5: cost 12 inf + 460
1552126183.345 * * [simplify]: Extracting #6: cost 2 inf + 1923
1552126183.346 * * [simplify]: Extracting #7: cost 0 inf + 2531
1552126183.347 * [simplify]: Simplified to (/ (sqrt (* (* n 2) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1552126183.347 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* n 2) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* n 2) PI) (- (/ k 2))) (cbrt (sqrt k)))))
1552126183.348 * [simplify]: Simplifying (/ (pow (* (* n 2) PI) (- (/ k 2))) (cbrt (sqrt k)))
1552126183.348 * * [simplify]: iters left: 6 (12 enodes)
1552126183.354 * * [simplify]: iters left: 5 (42 enodes)
1552126183.366 * * [simplify]: iters left: 4 (52 enodes)
1552126183.381 * * [simplify]: iters left: 3 (58 enodes)
1552126183.396 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126183.396 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126183.396 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126183.396 * * [simplify]: Extracting #3: cost 21 inf + 0
1552126183.397 * * [simplify]: Extracting #4: cost 19 inf + 128
1552126183.397 * * [simplify]: Extracting #5: cost 4 inf + 1367
1552126183.398 * * [simplify]: Extracting #6: cost 1 inf + 2358
1552126183.399 * * [simplify]: Extracting #7: cost 0 inf + 2892
1552126183.400 * [simplify]: Simplified to (/ (pow (* n (* PI 2)) (- (/ k 2))) (cbrt (sqrt k)))
1552126183.400 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* n 2) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* PI 2)) (- (/ k 2))) (cbrt (sqrt k)))))
1552126183.400 * * * * [progress]: [ 50 / 86 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (sqrt k)))))>
1552126183.400 * [simplify]: Simplifying (/ (pow (* (* n 2) PI) 1/2) (sqrt (sqrt k)))
1552126183.400 * * [simplify]: iters left: 6 (11 enodes)
1552126183.406 * * [simplify]: iters left: 5 (38 enodes)
1552126183.417 * * [simplify]: iters left: 4 (46 enodes)
1552126183.431 * * [simplify]: iters left: 3 (51 enodes)
1552126183.444 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126183.444 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126183.444 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126183.445 * * [simplify]: Extracting #3: cost 17 inf + 1
1552126183.445 * * [simplify]: Extracting #4: cost 16 inf + 5
1552126183.445 * * [simplify]: Extracting #5: cost 2 inf + 913
1552126183.446 * * [simplify]: Extracting #6: cost 1 inf + 1157
1552126183.446 * * [simplify]: Extracting #7: cost 0 inf + 1401
1552126183.447 * [simplify]: Simplified to (/ (sqrt (* (* n 2) PI)) (sqrt (sqrt k)))
1552126183.447 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* n 2) PI)) (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (sqrt k)))))
1552126183.447 * [simplify]: Simplifying (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (sqrt k)))
1552126183.447 * * [simplify]: iters left: 6 (12 enodes)
1552126183.453 * * [simplify]: iters left: 5 (42 enodes)
1552126183.459 * * [simplify]: iters left: 4 (52 enodes)
1552126183.467 * * [simplify]: iters left: 3 (58 enodes)
1552126183.476 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126183.476 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126183.476 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126183.476 * * [simplify]: Extracting #3: cost 21 inf + 0
1552126183.476 * * [simplify]: Extracting #4: cost 19 inf + 128
1552126183.476 * * [simplify]: Extracting #5: cost 4 inf + 1287
1552126183.477 * * [simplify]: Extracting #6: cost 1 inf + 2238
1552126183.477 * * [simplify]: Extracting #7: cost 0 inf + 2732
1552126183.477 * [simplify]: Simplified to (/ (pow (* n (* PI 2)) (- (/ k 2))) (sqrt (sqrt k)))
1552126183.477 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* n 2) PI)) (sqrt (sqrt k))) (/ (pow (* n (* PI 2)) (- (/ k 2))) (sqrt (sqrt k)))))
1552126183.478 * * * * [progress]: [ 51 / 86 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) 1) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))))>
1552126183.478 * [simplify]: Simplifying (/ (pow (* (* n 2) PI) 1/2) 1)
1552126183.478 * * [simplify]: iters left: 6 (9 enodes)
1552126183.481 * * [simplify]: iters left: 5 (32 enodes)
1552126183.486 * * [simplify]: iters left: 4 (44 enodes)
1552126183.493 * * [simplify]: iters left: 3 (49 enodes)
1552126183.499 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126183.499 * * [simplify]: Extracting #1: cost 5 inf + 0
1552126183.499 * * [simplify]: Extracting #2: cost 10 inf + 2
1552126183.500 * * [simplify]: Extracting #3: cost 9 inf + 47
1552126183.500 * * [simplify]: Extracting #4: cost 0 inf + 669
1552126183.500 * [simplify]: Simplified to (sqrt (* (* PI 2) n))
1552126183.500 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))))
1552126183.500 * [simplify]: Simplifying (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))
1552126183.500 * * [simplify]: iters left: 6 (11 enodes)
1552126183.503 * * [simplify]: iters left: 5 (39 enodes)
1552126183.512 * * [simplify]: iters left: 4 (49 enodes)
1552126183.525 * * [simplify]: iters left: 3 (54 enodes)
1552126183.532 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126183.532 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126183.532 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126183.532 * * [simplify]: Extracting #3: cost 16 inf + 83
1552126183.533 * * [simplify]: Extracting #4: cost 16 inf + 169
1552126183.533 * * [simplify]: Extracting #5: cost 3 inf + 1500
1552126183.533 * * [simplify]: Extracting #6: cost 0 inf + 2490
1552126183.534 * [simplify]: Simplified to (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))
1552126183.534 * [simplify]: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))))
1552126183.534 * * * * [progress]: [ 52 / 86 ] 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)))))>
1552126183.534 * [simplify]: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1552126183.534 * * [simplify]: iters left: 6 (12 enodes)
1552126183.537 * * [simplify]: iters left: 5 (41 enodes)
1552126183.543 * * [simplify]: iters left: 4 (48 enodes)
1552126183.551 * * [simplify]: iters left: 3 (50 enodes)
1552126183.566 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126183.566 * * [simplify]: Extracting #1: cost 6 inf + 0
1552126183.566 * * [simplify]: Extracting #2: cost 13 inf + 0
1552126183.566 * * [simplify]: Extracting #3: cost 22 inf + 0
1552126183.566 * * [simplify]: Extracting #4: cost 20 inf + 46
1552126183.567 * * [simplify]: Extracting #5: cost 8 inf + 1494
1552126183.567 * * [simplify]: Extracting #6: cost 2 inf + 2926
1552126183.568 * * [simplify]: Extracting #7: cost 0 inf + 3954
1552126183.569 * [simplify]: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1552126183.569 * [simplify]: Simplified (2 1) to (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)))))
1552126183.570 * [simplify]: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))
1552126183.570 * * [simplify]: iters left: 6 (10 enodes)
1552126183.576 * * [simplify]: iters left: 5 (32 enodes)
1552126183.586 * * [simplify]: iters left: 4 (37 enodes)
1552126183.597 * * [simplify]: iters left: 3 (39 enodes)
1552126183.609 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126183.609 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126183.609 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126183.609 * * [simplify]: Extracting #3: cost 14 inf + 1
1552126183.609 * * [simplify]: Extracting #4: cost 14 inf + 85
1552126183.609 * * [simplify]: Extracting #5: cost 11 inf + 369
1552126183.610 * * [simplify]: Extracting #6: cost 6 inf + 659
1552126183.610 * * [simplify]: Extracting #7: cost 0 inf + 2320
1552126183.611 * [simplify]: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))
1552126183.611 * [simplify]: Simplified (2 2) to (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)))))
1552126183.611 * * * * [progress]: [ 53 / 86 ] 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)))))>
1552126183.612 * [simplify]: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
1552126183.612 * * [simplify]: iters left: 6 (11 enodes)
1552126183.618 * * [simplify]: iters left: 5 (36 enodes)
1552126183.625 * * [simplify]: iters left: 4 (41 enodes)
1552126183.631 * * [simplify]: iters left: 3 (43 enodes)
1552126183.637 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126183.637 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126183.637 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126183.637 * * [simplify]: Extracting #3: cost 18 inf + 0
1552126183.637 * * [simplify]: Extracting #4: cost 12 inf + 291
1552126183.637 * * [simplify]: Extracting #5: cost 4 inf + 1121
1552126183.638 * * [simplify]: Extracting #6: cost 0 inf + 2404
1552126183.638 * [simplify]: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
1552126183.638 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))
1552126183.638 * [simplify]: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))
1552126183.638 * * [simplify]: iters left: 6 (10 enodes)
1552126183.641 * * [simplify]: iters left: 5 (32 enodes)
1552126183.646 * * [simplify]: iters left: 4 (37 enodes)
1552126183.651 * * [simplify]: iters left: 3 (39 enodes)
1552126183.660 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126183.660 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126183.660 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126183.661 * * [simplify]: Extracting #3: cost 14 inf + 1
1552126183.661 * * [simplify]: Extracting #4: cost 14 inf + 85
1552126183.661 * * [simplify]: Extracting #5: cost 11 inf + 289
1552126183.661 * * [simplify]: Extracting #6: cost 6 inf + 579
1552126183.662 * * [simplify]: Extracting #7: cost 0 inf + 2160
1552126183.662 * [simplify]: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))
1552126183.662 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))
1552126183.663 * * * * [progress]: [ 54 / 86 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) 1) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))>
1552126183.663 * [simplify]: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) 1)
1552126183.663 * * [simplify]: iters left: 6 (10 enodes)
1552126183.669 * * [simplify]: iters left: 5 (33 enodes)
1552126183.679 * * [simplify]: iters left: 4 (40 enodes)
1552126183.691 * * [simplify]: iters left: 3 (42 enodes)
1552126183.707 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126183.707 * * [simplify]: Extracting #1: cost 5 inf + 0
1552126183.707 * * [simplify]: Extracting #2: cost 11 inf + 1
1552126183.707 * * [simplify]: Extracting #3: cost 12 inf + 4
1552126183.707 * * [simplify]: Extracting #4: cost 7 inf + 214
1552126183.707 * * [simplify]: Extracting #5: cost 0 inf + 1253
1552126183.708 * [simplify]: Simplified to (pow (* n 2) (- 1/2 (/ k 2)))
1552126183.708 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))
1552126183.708 * [simplify]: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))
1552126183.708 * * [simplify]: iters left: 6 (9 enodes)
1552126183.713 * * [simplify]: iters left: 5 (29 enodes)
1552126183.722 * * [simplify]: iters left: 4 (34 enodes)
1552126183.732 * * [simplify]: iters left: 3 (36 enodes)
1552126183.743 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126183.743 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126183.743 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126183.743 * * [simplify]: Extracting #3: cost 9 inf + 84
1552126183.743 * * [simplify]: Extracting #4: cost 12 inf + 85
1552126183.743 * * [simplify]: Extracting #5: cost 10 inf + 209
1552126183.743 * * [simplify]: Extracting #6: cost 6 inf + 457
1552126183.744 * * [simplify]: Extracting #7: cost 1 inf + 1624
1552126183.744 * * [simplify]: Extracting #8: cost 0 inf + 1918
1552126183.745 * [simplify]: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))
1552126183.745 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))
1552126183.745 * * * * [progress]: [ 55 / 86 ] 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)))))>
1552126183.745 * [simplify]: Simplifying (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1552126183.746 * * [simplify]: iters left: 6 (16 enodes)
1552126183.754 * * [simplify]: iters left: 5 (60 enodes)
1552126183.769 * * [simplify]: iters left: 4 (88 enodes)
1552126183.782 * * [simplify]: iters left: 3 (102 enodes)
1552126183.801 * * [simplify]: iters left: 2 (105 enodes)
1552126183.821 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126183.822 * * [simplify]: Extracting #1: cost 11 inf + 0
1552126183.822 * * [simplify]: Extracting #2: cost 22 inf + 0
1552126183.822 * * [simplify]: Extracting #3: cost 27 inf + 0
1552126183.822 * * [simplify]: Extracting #4: cost 35 inf + 163
1552126183.822 * * [simplify]: Extracting #5: cost 32 inf + 693
1552126183.822 * * [simplify]: Extracting #6: cost 20 inf + 1775
1552126183.823 * * [simplify]: Extracting #7: cost 3 inf + 10110
1552126183.826 * * [simplify]: Extracting #8: cost 0 inf + 11915
1552126183.828 * [simplify]: Simplified to (* (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))
1552126183.828 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (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 (sqrt k)))))
1552126183.828 * [simplify]: Simplifying (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
1552126183.828 * * [simplify]: iters left: 6 (14 enodes)
1552126183.832 * * [simplify]: iters left: 5 (48 enodes)
1552126183.839 * * [simplify]: iters left: 4 (61 enodes)
1552126183.852 * * [simplify]: iters left: 3 (69 enodes)
1552126183.862 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126183.862 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126183.862 * * [simplify]: Extracting #2: cost 8 inf + 0
1552126183.862 * * [simplify]: Extracting #3: cost 13 inf + 0
1552126183.862 * * [simplify]: Extracting #4: cost 22 inf + 42
1552126183.862 * * [simplify]: Extracting #5: cost 20 inf + 371
1552126183.862 * * [simplify]: Extracting #6: cost 7 inf + 1535
1552126183.863 * * [simplify]: Extracting #7: cost 1 inf + 3518
1552126183.863 * * [simplify]: Extracting #8: cost 0 inf + 4133
1552126183.864 * [simplify]: Simplified to (/ (cbrt (pow (* n (* PI 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
1552126183.864 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (pow (* n (* PI 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))
1552126183.864 * * * * [progress]: [ 56 / 86 ] 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)))))>
1552126183.864 * [simplify]: Simplifying (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
1552126183.864 * * [simplify]: iters left: 6 (15 enodes)
1552126183.868 * * [simplify]: iters left: 5 (53 enodes)
1552126183.876 * * [simplify]: iters left: 4 (70 enodes)
1552126183.887 * * [simplify]: iters left: 3 (80 enodes)
1552126183.908 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126183.908 * * [simplify]: Extracting #1: cost 7 inf + 0
1552126183.908 * * [simplify]: Extracting #2: cost 14 inf + 0
1552126183.908 * * [simplify]: Extracting #3: cost 19 inf + 0
1552126183.908 * * [simplify]: Extracting #4: cost 25 inf + 245
1552126183.908 * * [simplify]: Extracting #5: cost 27 inf + 249
1552126183.909 * * [simplify]: Extracting #6: cost 15 inf + 1542
1552126183.910 * * [simplify]: Extracting #7: cost 1 inf + 6768
1552126183.912 * * [simplify]: Extracting #8: cost 0 inf + 7343
1552126183.914 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))
1552126183.914 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))
1552126183.914 * [simplify]: Simplifying (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
1552126183.915 * * [simplify]: iters left: 6 (14 enodes)
1552126183.921 * * [simplify]: iters left: 5 (48 enodes)
1552126183.938 * * [simplify]: iters left: 4 (61 enodes)
1552126183.951 * * [simplify]: iters left: 3 (69 enodes)
1552126183.960 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126183.960 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126183.960 * * [simplify]: Extracting #2: cost 8 inf + 0
1552126183.960 * * [simplify]: Extracting #3: cost 13 inf + 0
1552126183.961 * * [simplify]: Extracting #4: cost 22 inf + 42
1552126183.961 * * [simplify]: Extracting #5: cost 20 inf + 291
1552126183.961 * * [simplify]: Extracting #6: cost 7 inf + 1455
1552126183.961 * * [simplify]: Extracting #7: cost 1 inf + 3398
1552126183.962 * * [simplify]: Extracting #8: cost 0 inf + 3973
1552126183.963 * [simplify]: Simplified to (/ (cbrt (pow (* n (* PI 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
1552126183.963 * [simplify]: Simplified (2 2) to (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 (* PI 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))
1552126183.963 * * * * [progress]: [ 57 / 86 ] 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))))>
1552126183.963 * [simplify]: Simplifying (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1)
1552126183.963 * * [simplify]: iters left: 6 (14 enodes)
1552126183.967 * * [simplify]: iters left: 5 (50 enodes)
1552126183.976 * * [simplify]: iters left: 4 (73 enodes)
1552126183.991 * * [simplify]: iters left: 3 (81 enodes)
1552126184.005 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126184.005 * * [simplify]: Extracting #1: cost 5 inf + 0
1552126184.005 * * [simplify]: Extracting #2: cost 7 inf + 1
1552126184.005 * * [simplify]: Extracting #3: cost 10 inf + 1
1552126184.005 * * [simplify]: Extracting #4: cost 21 inf + 1
1552126184.005 * * [simplify]: Extracting #5: cost 24 inf + 5
1552126184.006 * * [simplify]: Extracting #6: cost 12 inf + 1046
1552126184.006 * * [simplify]: Extracting #7: cost 2 inf + 3571
1552126184.007 * * [simplify]: Extracting #8: cost 0 inf + 4562
1552126184.007 * [simplify]: Simplified to (* (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))
1552126184.007 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))
1552126184.008 * [simplify]: Simplifying (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))
1552126184.008 * * [simplify]: iters left: 6 (13 enodes)
1552126184.011 * * [simplify]: iters left: 5 (45 enodes)
1552126184.018 * * [simplify]: iters left: 4 (58 enodes)
1552126184.030 * * [simplify]: iters left: 3 (65 enodes)
1552126184.046 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126184.046 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126184.047 * * [simplify]: Extracting #2: cost 8 inf + 0
1552126184.047 * * [simplify]: Extracting #3: cost 10 inf + 1
1552126184.047 * * [simplify]: Extracting #4: cost 20 inf + 42
1552126184.047 * * [simplify]: Extracting #5: cost 18 inf + 253
1552126184.047 * * [simplify]: Extracting #6: cost 8 inf + 1169
1552126184.048 * * [simplify]: Extracting #7: cost 1 inf + 3196
1552126184.049 * * [simplify]: Extracting #8: cost 0 inf + 3731
1552126184.050 * [simplify]: Simplified to (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))
1552126184.050 * [simplify]: Simplified (2 2) to (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))))
1552126184.050 * * * * [progress]: [ 58 / 86 ] 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)))))>
1552126184.050 * [simplify]: Simplifying (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1552126184.050 * * [simplify]: iters left: 6 (15 enodes)
1552126184.054 * * [simplify]: iters left: 5 (53 enodes)
1552126184.062 * * [simplify]: iters left: 4 (68 enodes)
1552126184.072 * * [simplify]: iters left: 3 (75 enodes)
1552126184.087 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126184.087 * * [simplify]: Extracting #1: cost 6 inf + 0
1552126184.087 * * [simplify]: Extracting #2: cost 12 inf + 0
1552126184.087 * * [simplify]: Extracting #3: cost 17 inf + 0
1552126184.087 * * [simplify]: Extracting #4: cost 26 inf + 42
1552126184.087 * * [simplify]: Extracting #5: cost 24 inf + 530
1552126184.088 * * [simplify]: Extracting #6: cost 11 inf + 1944
1552126184.089 * * [simplify]: Extracting #7: cost 0 inf + 5525
1552126184.090 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1552126184.090 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))
1552126184.090 * [simplify]: Simplifying (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
1552126184.090 * * [simplify]: iters left: 6 (14 enodes)
1552126184.094 * * [simplify]: iters left: 5 (48 enodes)
1552126184.101 * * [simplify]: iters left: 4 (61 enodes)
1552126184.110 * * [simplify]: iters left: 3 (69 enodes)
1552126184.121 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126184.121 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126184.121 * * [simplify]: Extracting #2: cost 8 inf + 0
1552126184.121 * * [simplify]: Extracting #3: cost 13 inf + 0
1552126184.121 * * [simplify]: Extracting #4: cost 22 inf + 42
1552126184.123 * * [simplify]: Extracting #5: cost 20 inf + 371
1552126184.124 * * [simplify]: Extracting #6: cost 7 inf + 1535
1552126184.125 * * [simplify]: Extracting #7: cost 1 inf + 3398
1552126184.126 * * [simplify]: Extracting #8: cost 0 inf + 3973
1552126184.127 * [simplify]: Simplified to (/ (sqrt (pow (* n (* PI 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
1552126184.127 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* n (* PI 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))
1552126184.127 * * * * [progress]: [ 59 / 86 ] 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)))))>
1552126184.127 * [simplify]: Simplifying (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
1552126184.128 * * [simplify]: iters left: 6 (14 enodes)
1552126184.134 * * [simplify]: iters left: 5 (48 enodes)
1552126184.145 * * [simplify]: iters left: 4 (61 enodes)
1552126184.154 * * [simplify]: iters left: 3 (69 enodes)
1552126184.163 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126184.163 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126184.163 * * [simplify]: Extracting #2: cost 8 inf + 0
1552126184.163 * * [simplify]: Extracting #3: cost 13 inf + 0
1552126184.163 * * [simplify]: Extracting #4: cost 22 inf + 42
1552126184.164 * * [simplify]: Extracting #5: cost 20 inf + 291
1552126184.164 * * [simplify]: Extracting #6: cost 7 inf + 1455
1552126184.164 * * [simplify]: Extracting #7: cost 1 inf + 3278
1552126184.165 * * [simplify]: Extracting #8: cost 0 inf + 3813
1552126184.165 * [simplify]: Simplified to (/ (sqrt (pow (* n (* PI 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
1552126184.165 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n (* PI 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))
1552126184.166 * [simplify]: Simplifying (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
1552126184.166 * * [simplify]: iters left: 6 (14 enodes)
1552126184.169 * * [simplify]: iters left: 5 (48 enodes)
1552126184.177 * * [simplify]: iters left: 4 (61 enodes)
1552126184.186 * * [simplify]: iters left: 3 (69 enodes)
1552126184.195 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126184.195 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126184.195 * * [simplify]: Extracting #2: cost 8 inf + 0
1552126184.195 * * [simplify]: Extracting #3: cost 13 inf + 0
1552126184.195 * * [simplify]: Extracting #4: cost 22 inf + 42
1552126184.195 * * [simplify]: Extracting #5: cost 20 inf + 291
1552126184.196 * * [simplify]: Extracting #6: cost 7 inf + 1455
1552126184.196 * * [simplify]: Extracting #7: cost 1 inf + 3278
1552126184.197 * * [simplify]: Extracting #8: cost 0 inf + 3813
1552126184.197 * [simplify]: Simplified to (/ (sqrt (pow (* n (* PI 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
1552126184.197 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* n (* PI 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))
1552126184.197 * * * * [progress]: [ 60 / 86 ] 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))))>
1552126184.198 * [simplify]: Simplifying (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)
1552126184.198 * * [simplify]: iters left: 6 (13 enodes)
1552126184.205 * * [simplify]: iters left: 5 (45 enodes)
1552126184.219 * * [simplify]: iters left: 4 (60 enodes)
1552126184.238 * * [simplify]: iters left: 3 (67 enodes)
1552126184.256 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126184.256 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126184.256 * * [simplify]: Extracting #2: cost 6 inf + 1
1552126184.256 * * [simplify]: Extracting #3: cost 17 inf + 1
1552126184.256 * * [simplify]: Extracting #4: cost 19 inf + 47
1552126184.257 * * [simplify]: Extracting #5: cost 4 inf + 1254
1552126184.257 * * [simplify]: Extracting #6: cost 1 inf + 2085
1552126184.258 * * [simplify]: Extracting #7: cost 0 inf + 2500
1552126184.258 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
1552126184.258 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))
1552126184.258 * [simplify]: Simplifying (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))
1552126184.258 * * [simplify]: iters left: 6 (13 enodes)
1552126184.262 * * [simplify]: iters left: 5 (45 enodes)
1552126184.269 * * [simplify]: iters left: 4 (58 enodes)
1552126184.277 * * [simplify]: iters left: 3 (65 enodes)
1552126184.286 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126184.287 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126184.287 * * [simplify]: Extracting #2: cost 8 inf + 0
1552126184.287 * * [simplify]: Extracting #3: cost 10 inf + 1
1552126184.287 * * [simplify]: Extracting #4: cost 20 inf + 42
1552126184.287 * * [simplify]: Extracting #5: cost 18 inf + 253
1552126184.288 * * [simplify]: Extracting #6: cost 8 inf + 1169
1552126184.288 * * [simplify]: Extracting #7: cost 1 inf + 3076
1552126184.290 * * [simplify]: Extracting #8: cost 0 inf + 3571
1552126184.291 * [simplify]: Simplified to (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))
1552126184.291 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))
1552126184.291 * * * * [progress]: [ 61 / 86 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))>
1552126184.291 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1552126184.291 * * [simplify]: iters left: 6 (6 enodes)
1552126184.295 * * [simplify]: iters left: 5 (22 enodes)
1552126184.302 * * [simplify]: iters left: 4 (26 enodes)
1552126184.309 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126184.309 * * [simplify]: Extracting #1: cost 6 inf + 0
1552126184.309 * * [simplify]: Extracting #2: cost 9 inf + 1
1552126184.309 * * [simplify]: Extracting #3: cost 11 inf + 1
1552126184.310 * * [simplify]: Extracting #4: cost 8 inf + 84
1552126184.310 * * [simplify]: Extracting #5: cost 2 inf + 1013
1552126184.310 * * [simplify]: Extracting #6: cost 0 inf + 1376
1552126184.310 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1552126184.310 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))
1552126184.310 * [simplify]: Simplifying (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k)))
1552126184.310 * * [simplify]: iters left: 6 (13 enodes)
1552126184.314 * * [simplify]: iters left: 5 (45 enodes)
1552126184.321 * * [simplify]: iters left: 4 (58 enodes)
1552126184.330 * * [simplify]: iters left: 3 (65 enodes)
1552126184.339 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126184.340 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126184.340 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126184.340 * * [simplify]: Extracting #3: cost 22 inf + 0
1552126184.340 * * [simplify]: Extracting #4: cost 18 inf + 333
1552126184.340 * * [simplify]: Extracting #5: cost 6 inf + 1411
1552126184.340 * * [simplify]: Extracting #6: cost 1 inf + 2528
1552126184.341 * * [simplify]: Extracting #7: cost 0 inf + 3063
1552126184.342 * [simplify]: Simplified to (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k)))
1552126184.342 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))
1552126184.342 * * * * [progress]: [ 62 / 86 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))>
1552126184.342 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k)))
1552126184.342 * * [simplify]: iters left: 4 (5 enodes)
1552126184.345 * * [simplify]: iters left: 3 (17 enodes)
1552126184.350 * * [simplify]: iters left: 2 (19 enodes)
1552126184.353 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126184.353 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126184.353 * * [simplify]: Extracting #2: cost 5 inf + 1
1552126184.353 * * [simplify]: Extracting #3: cost 7 inf + 1
1552126184.354 * * [simplify]: Extracting #4: cost 0 inf + 490
1552126184.354 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k)))
1552126184.354 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))
1552126184.354 * [simplify]: Simplifying (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
1552126184.354 * * [simplify]: iters left: 6 (13 enodes)
1552126184.357 * * [simplify]: iters left: 5 (45 enodes)
1552126184.365 * * [simplify]: iters left: 4 (58 enodes)
1552126184.373 * * [simplify]: iters left: 3 (65 enodes)
1552126184.383 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126184.383 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126184.383 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126184.383 * * [simplify]: Extracting #3: cost 22 inf + 0
1552126184.383 * * [simplify]: Extracting #4: cost 18 inf + 293
1552126184.384 * * [simplify]: Extracting #5: cost 6 inf + 1331
1552126184.384 * * [simplify]: Extracting #6: cost 1 inf + 2408
1552126184.385 * * [simplify]: Extracting #7: cost 0 inf + 2903
1552126184.386 * [simplify]: Simplified to (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
1552126184.386 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))
1552126184.386 * * * * [progress]: [ 63 / 86 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))))>
1552126184.387 * [simplify]: Simplifying (/ 1 1)
1552126184.387 * * [simplify]: iters left: 2 (2 enodes)
1552126184.388 * * [simplify]: iters left: 1 (6 enodes)
1552126184.390 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126184.391 * * [simplify]: Extracting #1: cost 0 inf + 1
1552126184.391 * [simplify]: Simplified to 1
1552126184.391 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))))
1552126184.391 * [simplify]: Simplifying (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))
1552126184.391 * * [simplify]: iters left: 6 (12 enodes)
1552126184.397 * * [simplify]: iters left: 5 (42 enodes)
1552126184.410 * * [simplify]: iters left: 4 (55 enodes)
1552126184.418 * * [simplify]: iters left: 3 (62 enodes)
1552126184.426 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126184.426 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126184.427 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126184.427 * * [simplify]: Extracting #3: cost 18 inf + 42
1552126184.427 * * [simplify]: Extracting #4: cost 18 inf + 129
1552126184.427 * * [simplify]: Extracting #5: cost 6 inf + 1502
1552126184.427 * * [simplify]: Extracting #6: cost 1 inf + 2206
1552126184.428 * * [simplify]: Extracting #7: cost 0 inf + 2661
1552126184.428 * [simplify]: Simplified to (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))
1552126184.428 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))))
1552126184.428 * * * * [progress]: [ 64 / 86 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))))>
1552126184.428 * * * * [progress]: [ 65 / 86 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ 1 (sqrt k))))>
1552126184.428 * * * * [progress]: [ 66 / 86 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1552126184.428 * * * * [progress]: [ 67 / 86 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))>
1552126184.430 * [simplify]: Simplifying (cbrt (sqrt k))
1552126184.430 * * [simplify]: iters left: 2 (3 enodes)
1552126184.430 * * [simplify]: iters left: 1 (9 enodes)
1552126184.431 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126184.431 * * [simplify]: Extracting #1: cost 3 inf + 0
1552126184.431 * * [simplify]: Extracting #2: cost 5 inf + 0
1552126184.432 * * [simplify]: Extracting #3: cost 4 inf + 1
1552126184.432 * * [simplify]: Extracting #4: cost 0 inf + 325
1552126184.432 * [simplify]: Simplified to (cbrt (sqrt k))
1552126184.432 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))
1552126184.432 * * * * [progress]: [ 68 / 86 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
1552126184.432 * [simplify]: Simplifying (sqrt (sqrt k))
1552126184.432 * * [simplify]: iters left: 2 (3 enodes)
1552126184.433 * * [simplify]: iters left: 1 (9 enodes)
1552126184.434 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126184.434 * * [simplify]: Extracting #1: cost 3 inf + 0
1552126184.434 * * [simplify]: Extracting #2: cost 5 inf + 0
1552126184.434 * * [simplify]: Extracting #3: cost 4 inf + 1
1552126184.434 * * [simplify]: Extracting #4: cost 0 inf + 245
1552126184.434 * [simplify]: Simplified to (sqrt (sqrt k))
1552126184.434 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))
1552126184.434 * * * * [progress]: [ 69 / 86 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) 1) (sqrt k)))>
1552126184.434 * [simplify]: Simplifying (sqrt k)
1552126184.434 * * [simplify]: iters left: 1 (2 enodes)
1552126184.435 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126184.435 * * [simplify]: Extracting #1: cost 3 inf + 0
1552126184.435 * * [simplify]: Extracting #2: cost 2 inf + 1
1552126184.435 * * [simplify]: Extracting #3: cost 0 inf + 83
1552126184.435 * [simplify]: Simplified to (sqrt k)
1552126184.435 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) 1) (sqrt k)))
1552126184.435 * * * * [progress]: [ 70 / 86 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) 1/2) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))))>
1552126184.435 * [simplify]: Simplifying (pow (* (* n 2) PI) 1/2)
1552126184.435 * * [simplify]: iters left: 5 (7 enodes)
1552126184.437 * * [simplify]: iters left: 4 (26 enodes)
1552126184.441 * * [simplify]: iters left: 3 (34 enodes)
1552126184.447 * * [simplify]: iters left: 2 (39 enodes)
1552126184.458 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126184.458 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126184.458 * * [simplify]: Extracting #2: cost 10 inf + 1
1552126184.458 * * [simplify]: Extracting #3: cost 9 inf + 46
1552126184.458 * * [simplify]: Extracting #4: cost 1 inf + 626
1552126184.459 * * [simplify]: Extracting #5: cost 0 inf + 668
1552126184.459 * [simplify]: Simplified to (sqrt (* n (* PI 2)))
1552126184.459 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (* n (* PI 2))) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))))
1552126184.459 * * * * [progress]: [ 71 / 86 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) 1/2) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))))>
1552126184.459 * [simplify]: Simplifying (pow (* (* n 2) PI) 1/2)
1552126184.459 * * [simplify]: iters left: 5 (7 enodes)
1552126184.464 * * [simplify]: iters left: 4 (26 enodes)
1552126184.472 * * [simplify]: iters left: 3 (34 enodes)
1552126184.482 * * [simplify]: iters left: 2 (39 enodes)
1552126184.492 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126184.492 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126184.492 * * [simplify]: Extracting #2: cost 10 inf + 1
1552126184.493 * * [simplify]: Extracting #3: cost 9 inf + 46
1552126184.493 * * [simplify]: Extracting #4: cost 1 inf + 626
1552126184.493 * * [simplify]: Extracting #5: cost 0 inf + 668
1552126184.494 * [simplify]: Simplified to (sqrt (* n (* PI 2)))
1552126184.494 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (* n (* PI 2))) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))))
1552126184.494 * * * * [progress]: [ 72 / 86 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
1552126184.494 * [simplify]: Simplifying (pow (* n 2) (- 1/2 (/ k 2)))
1552126184.494 * * [simplify]: iters left: 5 (8 enodes)
1552126184.499 * * [simplify]: iters left: 4 (27 enodes)
1552126184.508 * * [simplify]: iters left: 3 (32 enodes)
1552126184.517 * * [simplify]: iters left: 2 (34 enodes)
1552126184.527 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126184.527 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126184.528 * * [simplify]: Extracting #2: cost 11 inf + 0
1552126184.528 * * [simplify]: Extracting #3: cost 12 inf + 3
1552126184.528 * * [simplify]: Extracting #4: cost 8 inf + 171
1552126184.528 * * [simplify]: Extracting #5: cost 1 inf + 918
1552126184.529 * * [simplify]: Extracting #6: cost 0 inf + 1252
1552126184.529 * [simplify]: Simplified to (pow (* n 2) (- 1/2 (/ k 2)))
1552126184.529 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))
1552126184.529 * * * * [progress]: [ 73 / 86 ] 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)))))))>
1552126184.529 * [simplify]: Simplifying (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1552126184.530 * * [simplify]: iters left: 6 (12 enodes)
1552126184.536 * * [simplify]: iters left: 5 (42 enodes)
1552126184.548 * * [simplify]: iters left: 4 (55 enodes)
1552126184.565 * * [simplify]: iters left: 3 (62 enodes)
1552126184.583 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126184.583 * * [simplify]: Extracting #1: cost 3 inf + 0
1552126184.583 * * [simplify]: Extracting #2: cost 5 inf + 0
1552126184.583 * * [simplify]: Extracting #3: cost 8 inf + 0
1552126184.583 * * [simplify]: Extracting #4: cost 19 inf + 0
1552126184.583 * * [simplify]: Extracting #5: cost 22 inf + 4
1552126184.583 * * [simplify]: Extracting #6: cost 10 inf + 1256
1552126184.584 * * [simplify]: Extracting #7: cost 1 inf + 3074
1552126184.585 * * [simplify]: Extracting #8: cost 0 inf + 3569
1552126184.586 * [simplify]: Simplified to (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1552126184.586 * [simplify]: Simplified (2 1) to (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)))))))
1552126184.586 * * * * [progress]: [ 74 / 86 ] 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)))))))>
1552126184.587 * [simplify]: Simplifying (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
1552126184.587 * * [simplify]: iters left: 6 (11 enodes)
1552126184.593 * * [simplify]: iters left: 5 (39 enodes)
1552126184.603 * * [simplify]: iters left: 4 (52 enodes)
1552126184.611 * * [simplify]: iters left: 3 (59 enodes)
1552126184.619 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126184.620 * * [simplify]: Extracting #1: cost 3 inf + 0
1552126184.620 * * [simplify]: Extracting #2: cost 6 inf + 0
1552126184.620 * * [simplify]: Extracting #3: cost 17 inf + 0
1552126184.620 * * [simplify]: Extracting #4: cost 19 inf + 46
1552126184.620 * * [simplify]: Extracting #5: cost 7 inf + 1087
1552126184.620 * * [simplify]: Extracting #6: cost 0 inf + 2499
1552126184.621 * [simplify]: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))
1552126184.621 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))
1552126184.621 * * * * [progress]: [ 75 / 86 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1552126184.621 * * * * [progress]: [ 76 / 86 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) 1/2) (* (sqrt k) (pow (* (* n 2) PI) (/ k 2)))))>
1552126184.621 * [simplify]: Simplifying (pow (* (* n 2) PI) 1/2)
1552126184.621 * * [simplify]: iters left: 5 (7 enodes)
1552126184.623 * * [simplify]: iters left: 4 (26 enodes)
1552126184.627 * * [simplify]: iters left: 3 (34 enodes)
1552126184.636 * * [simplify]: iters left: 2 (39 enodes)
1552126184.646 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126184.646 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126184.646 * * [simplify]: Extracting #2: cost 10 inf + 1
1552126184.646 * * [simplify]: Extracting #3: cost 9 inf + 46
1552126184.646 * * [simplify]: Extracting #4: cost 1 inf + 626
1552126184.647 * * [simplify]: Extracting #5: cost 0 inf + 668
1552126184.647 * [simplify]: Simplified to (sqrt (* n (* PI 2)))
1552126184.647 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (* n (* PI 2))) (* (sqrt k) (pow (* (* n 2) PI) (/ k 2)))))
1552126184.647 * * * * [progress]: [ 77 / 86 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))))>
1552126184.647 * * * * [progress]: [ 78 / 86 ] 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)))>
1552126184.648 * [simplify]: Simplifying (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)))))
1552126184.648 * * [simplify]: iters left: 6 (37 enodes)
1552126184.670 * * [simplify]: iters left: 5 (182 enodes)
1552126184.716 * * [simplify]: iters left: 4 (487 enodes)
1552126184.961 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126184.961 * * [simplify]: Extracting #1: cost 74 inf + 0
1552126184.963 * * [simplify]: Extracting #2: cost 339 inf + 3
1552126184.967 * * [simplify]: Extracting #3: cost 496 inf + 559
1552126184.990 * * [simplify]: Extracting #4: cost 330 inf + 53115
1552126185.049 * * [simplify]: Extracting #5: cost 70 inf + 174349
1552126185.123 * * [simplify]: Extracting #6: cost 0 inf + 222643
1552126185.218 * * [simplify]: Extracting #7: cost 0 inf + 219647
1552126185.328 * * [simplify]: Extracting #8: cost 0 inf + 219582
1552126185.397 * [simplify]: Simplified to (fma -1/2 (* (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (+ (log n) (log (* PI 2)))) k) (fma (* 1/4 (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k k) (log n)))) (log (* PI 2)) (fma (* (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) 1/8) (* k k)) (* (log (* PI 2)) (log (* PI 2))) (fma (* (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) 1/8) (* k k)) (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))))
1552126185.397 * [simplify]: Simplified (2 1) to (λ (k n) (/ (fma -1/2 (* (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (+ (log n) (log (* PI 2)))) k) (fma (* 1/4 (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k k) (log n)))) (log (* PI 2)) (fma (* (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) 1/8) (* k k)) (* (log (* PI 2)) (log (* PI 2))) (fma (* (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) 1/8) (* k k)) (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/2)))))) (sqrt k)))
1552126185.397 * * * * [progress]: [ 79 / 86 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (sqrt k)))>
1552126185.398 * [simplify]: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))
1552126185.398 * * [simplify]: iters left: 6 (15 enodes)
1552126185.403 * * [simplify]: iters left: 5 (63 enodes)
1552126185.415 * * [simplify]: iters left: 4 (108 enodes)
1552126185.435 * * [simplify]: iters left: 3 (268 enodes)
1552126185.537 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126185.537 * * [simplify]: Extracting #1: cost 16 inf + 0
1552126185.538 * * [simplify]: Extracting #2: cost 116 inf + 0
1552126185.539 * * [simplify]: Extracting #3: cost 211 inf + 668
1552126185.541 * * [simplify]: Extracting #4: cost 149 inf + 9715
1552126185.547 * * [simplify]: Extracting #5: cost 42 inf + 34460
1552126185.563 * * [simplify]: Extracting #6: cost 0 inf + 46240
1552126185.582 * * [simplify]: Extracting #7: cost 0 inf + 45870
1552126185.604 * [simplify]: Simplified to (pow (* (* 2 PI) n) (fma k -1/2 1/2))
1552126185.604 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (* (* 2 PI) n) (fma k -1/2 1/2)) (sqrt k)))
1552126185.604 * * * * [progress]: [ 80 / 86 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (sqrt k)))>
1552126185.605 * [simplify]: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
1552126185.605 * * [simplify]: iters left: 6 (15 enodes)
1552126185.614 * * [simplify]: iters left: 5 (60 enodes)
1552126185.635 * * [simplify]: iters left: 4 (111 enodes)
1552126185.670 * * [simplify]: iters left: 3 (302 enodes)
1552126185.812 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126185.813 * * [simplify]: Extracting #1: cost 16 inf + 0
1552126185.813 * * [simplify]: Extracting #2: cost 144 inf + 0
1552126185.816 * * [simplify]: Extracting #3: cost 312 inf + 558
1552126185.819 * * [simplify]: Extracting #4: cost 279 inf + 4663
1552126185.827 * * [simplify]: Extracting #5: cost 100 inf + 51858
1552126185.842 * * [simplify]: Extracting #6: cost 2 inf + 80601
1552126185.858 * * [simplify]: Extracting #7: cost 0 inf + 76621
1552126185.883 * * [simplify]: Extracting #8: cost 0 inf + 76306
1552126185.914 * [simplify]: Simplified to (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))
1552126185.915 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)) (sqrt k)))
1552126185.915 * * * * [progress]: [ 81 / 86 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))>
1552126185.915 * [simplify]: Simplifying (* 2 (* n PI))
1552126185.915 * * [simplify]: iters left: 4 (5 enodes)
1552126185.918 * * [simplify]: iters left: 3 (19 enodes)
1552126185.924 * * [simplify]: iters left: 2 (27 enodes)
1552126185.931 * * [simplify]: iters left: 1 (32 enodes)
1552126185.939 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126185.939 * * [simplify]: Extracting #1: cost 8 inf + 0
1552126185.940 * * [simplify]: Extracting #2: cost 7 inf + 45
1552126185.940 * * [simplify]: Extracting #3: cost 0 inf + 421
1552126185.940 * [simplify]: Simplified to (* (* PI n) 2)
1552126185.940 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k)))
1552126185.940 * * * * [progress]: [ 82 / 86 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))>
1552126185.941 * [simplify]: Simplifying (* 2 (* n PI))
1552126185.941 * * [simplify]: iters left: 4 (5 enodes)
1552126185.943 * * [simplify]: iters left: 3 (19 enodes)
1552126185.949 * * [simplify]: iters left: 2 (27 enodes)
1552126185.958 * * [simplify]: iters left: 1 (32 enodes)
1552126185.967 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126185.967 * * [simplify]: Extracting #1: cost 8 inf + 0
1552126185.967 * * [simplify]: Extracting #2: cost 7 inf + 45
1552126185.967 * * [simplify]: Extracting #3: cost 0 inf + 421
1552126185.967 * [simplify]: Simplified to (* (* PI n) 2)
1552126185.967 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k)))
1552126185.967 * * * * [progress]: [ 83 / 86 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))>
1552126185.968 * [simplify]: Simplifying (* 2 (* n PI))
1552126185.968 * * [simplify]: iters left: 4 (5 enodes)
1552126185.971 * * [simplify]: iters left: 3 (19 enodes)
1552126185.977 * * [simplify]: iters left: 2 (27 enodes)
1552126185.985 * * [simplify]: iters left: 1 (32 enodes)
1552126185.992 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126185.992 * * [simplify]: Extracting #1: cost 8 inf + 0
1552126185.993 * * [simplify]: Extracting #2: cost 7 inf + 45
1552126185.993 * * [simplify]: Extracting #3: cost 0 inf + 421
1552126185.993 * [simplify]: Simplified to (* (* PI n) 2)
1552126185.993 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k)))
1552126185.993 * * * * [progress]: [ 84 / 86 ] 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)))))))))))))))))))))))>
1552126185.994 * [simplify]: Simplifying (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))))))))))))))))))))))
1552126185.994 * [simplify]: Simplified (2) to (λ (k n) +nan.0)
1552126185.994 * * * * [progress]: [ 85 / 86 ] 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)))))))))>
1552126185.995 * [simplify]: Simplifying (- (+ (* +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))))))))
1552126185.995 * [simplify]: Simplified (2) to (λ (k n) +nan.0)
1552126185.995 * * * * [progress]: [ 86 / 86 ] 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))))))))))))>
1552126185.995 * [simplify]: Simplifying (- (+ (* +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)))))))))))
1552126185.995 * [simplify]: Simplified (2) to (λ (k n) +nan.0)
1552126185.996 * * * [progress]: adding candidates to table
1552126186.894 * * [progress]: iteration 2 / 4
1552126186.894 * * * [progress]: picking best candidate
1552126186.946 * * * * [pick]: Picked  #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1552126186.946 * * * [progress]: localizing error
1552126186.958 * * * [progress]: generating rewritten candidates
1552126186.958 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2)
1552126186.965 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1)
1552126186.968 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2)
1552126186.973 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
1552126186.978 * * * [progress]: generating series expansions
1552126186.978 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2)
1552126186.978 * [backup-simplify]: Simplify (pow (* (* n 2) PI) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))
1552126186.978 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0
1552126186.978 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1552126186.978 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1552126186.978 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1552126186.978 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1552126186.978 * [taylor]: Taking taylor expansion of 1/2 in k
1552126186.978 * [backup-simplify]: Simplify 1/2 into 1/2
1552126186.978 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1552126186.978 * [taylor]: Taking taylor expansion of 1/2 in k
1552126186.978 * [backup-simplify]: Simplify 1/2 into 1/2
1552126186.978 * [taylor]: Taking taylor expansion of k in k
1552126186.978 * [backup-simplify]: Simplify 0 into 0
1552126186.978 * [backup-simplify]: Simplify 1 into 1
1552126186.978 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1552126186.978 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1552126186.978 * [taylor]: Taking taylor expansion of 2 in k
1552126186.978 * [backup-simplify]: Simplify 2 into 2
1552126186.978 * [taylor]: Taking taylor expansion of (* n PI) in k
1552126186.978 * [taylor]: Taking taylor expansion of n in k
1552126186.978 * [backup-simplify]: Simplify n into n
1552126186.978 * [taylor]: Taking taylor expansion of PI in k
1552126186.978 * [backup-simplify]: Simplify PI into PI
1552126186.978 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1552126186.978 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1552126186.978 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1552126186.979 * [backup-simplify]: Simplify (* 1/2 0) into 0
1552126186.979 * [backup-simplify]: Simplify (- 0) into 0
1552126186.980 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1552126186.980 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1552126186.980 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1552126186.980 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1552126186.980 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1552126186.980 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1552126186.980 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1552126186.980 * [taylor]: Taking taylor expansion of 1/2 in n
1552126186.980 * [backup-simplify]: Simplify 1/2 into 1/2
1552126186.980 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
1552126186.980 * [taylor]: Taking taylor expansion of 1/2 in n
1552126186.980 * [backup-simplify]: Simplify 1/2 into 1/2
1552126186.980 * [taylor]: Taking taylor expansion of k in n
1552126186.980 * [backup-simplify]: Simplify k into k
1552126186.980 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1552126186.980 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1552126186.980 * [taylor]: Taking taylor expansion of 2 in n
1552126186.980 * [backup-simplify]: Simplify 2 into 2
1552126186.980 * [taylor]: Taking taylor expansion of (* n PI) in n
1552126186.980 * [taylor]: Taking taylor expansion of n in n
1552126186.980 * [backup-simplify]: Simplify 0 into 0
1552126186.980 * [backup-simplify]: Simplify 1 into 1
1552126186.980 * [taylor]: Taking taylor expansion of PI in n
1552126186.980 * [backup-simplify]: Simplify PI into PI
1552126186.980 * [backup-simplify]: Simplify (* 0 PI) into 0
1552126186.981 * [backup-simplify]: Simplify (* 2 0) into 0
1552126186.982 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552126186.983 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1552126186.983 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552126186.983 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
1552126186.983 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1552126186.983 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1552126186.984 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552126186.985 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
1552126186.986 * [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)))))
1552126186.986 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1552126186.986 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1552126186.986 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1552126186.986 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1552126186.986 * [taylor]: Taking taylor expansion of 1/2 in n
1552126186.986 * [backup-simplify]: Simplify 1/2 into 1/2
1552126186.986 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
1552126186.986 * [taylor]: Taking taylor expansion of 1/2 in n
1552126186.986 * [backup-simplify]: Simplify 1/2 into 1/2
1552126186.986 * [taylor]: Taking taylor expansion of k in n
1552126186.986 * [backup-simplify]: Simplify k into k
1552126186.986 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1552126186.986 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1552126186.986 * [taylor]: Taking taylor expansion of 2 in n
1552126186.986 * [backup-simplify]: Simplify 2 into 2
1552126186.986 * [taylor]: Taking taylor expansion of (* n PI) in n
1552126186.986 * [taylor]: Taking taylor expansion of n in n
1552126186.986 * [backup-simplify]: Simplify 0 into 0
1552126186.986 * [backup-simplify]: Simplify 1 into 1
1552126186.986 * [taylor]: Taking taylor expansion of PI in n
1552126186.986 * [backup-simplify]: Simplify PI into PI
1552126186.986 * [backup-simplify]: Simplify (* 0 PI) into 0
1552126186.986 * [backup-simplify]: Simplify (* 2 0) into 0
1552126186.987 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552126186.988 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1552126186.989 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552126186.989 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
1552126186.989 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1552126186.989 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1552126186.990 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552126186.991 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
1552126186.991 * [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)))))
1552126186.991 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
1552126186.991 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
1552126186.991 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1552126186.991 * [taylor]: Taking taylor expansion of 1/2 in k
1552126186.991 * [backup-simplify]: Simplify 1/2 into 1/2
1552126186.991 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1552126186.991 * [taylor]: Taking taylor expansion of 1/2 in k
1552126186.991 * [backup-simplify]: Simplify 1/2 into 1/2
1552126186.991 * [taylor]: Taking taylor expansion of k in k
1552126186.991 * [backup-simplify]: Simplify 0 into 0
1552126186.991 * [backup-simplify]: Simplify 1 into 1
1552126186.991 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1552126186.991 * [taylor]: Taking taylor expansion of (log n) in k
1552126186.991 * [taylor]: Taking taylor expansion of n in k
1552126186.991 * [backup-simplify]: Simplify n into n
1552126186.992 * [backup-simplify]: Simplify (log n) into (log n)
1552126186.992 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1552126186.992 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1552126186.992 * [taylor]: Taking taylor expansion of 2 in k
1552126186.992 * [backup-simplify]: Simplify 2 into 2
1552126186.992 * [taylor]: Taking taylor expansion of PI in k
1552126186.992 * [backup-simplify]: Simplify PI into PI
1552126186.992 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552126186.992 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552126186.993 * [backup-simplify]: Simplify (* 1/2 0) into 0
1552126186.993 * [backup-simplify]: Simplify (- 0) into 0
1552126186.993 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1552126186.994 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552126186.994 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
1552126186.995 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1552126186.999 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1552126187.000 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1552126187.001 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1552126187.003 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1552126187.003 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
1552126187.004 * [backup-simplify]: Simplify (- 0) into 0
1552126187.004 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126187.005 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552126187.006 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1552126187.008 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
1552126187.008 * [taylor]: Taking taylor expansion of 0 in k
1552126187.008 * [backup-simplify]: Simplify 0 into 0
1552126187.008 * [backup-simplify]: Simplify 0 into 0
1552126187.009 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1552126187.010 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1552126187.012 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1552126187.012 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126187.013 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1552126187.013 * [backup-simplify]: Simplify (- 1/2) into -1/2
1552126187.014 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1552126187.015 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
1552126187.019 * [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)))))))
1552126187.021 * [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)))))))
1552126187.023 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1552126187.024 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1552126187.027 * [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
1552126187.028 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
1552126187.029 * [backup-simplify]: Simplify (- 0) into 0
1552126187.029 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126187.030 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552126187.032 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1552126187.034 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1552126187.034 * [taylor]: Taking taylor expansion of 0 in k
1552126187.034 * [backup-simplify]: Simplify 0 into 0
1552126187.034 * [backup-simplify]: Simplify 0 into 0
1552126187.035 * [backup-simplify]: Simplify 0 into 0
1552126187.036 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
1552126187.037 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1552126187.041 * [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
1552126187.041 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126187.042 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1552126187.042 * [backup-simplify]: Simplify (- 0) into 0
1552126187.043 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126187.045 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1552126187.048 * [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)))))
1552126187.053 * [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)))))
1552126187.062 * [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)))))
1552126187.063 * [backup-simplify]: Simplify (pow (* (* (/ 1 n) 2) PI) (- 1/2 (/ (/ 1 k) 2))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
1552126187.063 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0
1552126187.063 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
1552126187.063 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1552126187.063 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1552126187.063 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1552126187.063 * [taylor]: Taking taylor expansion of 1/2 in k
1552126187.063 * [backup-simplify]: Simplify 1/2 into 1/2
1552126187.063 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1552126187.063 * [taylor]: Taking taylor expansion of 1/2 in k
1552126187.063 * [backup-simplify]: Simplify 1/2 into 1/2
1552126187.063 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552126187.063 * [taylor]: Taking taylor expansion of k in k
1552126187.063 * [backup-simplify]: Simplify 0 into 0
1552126187.063 * [backup-simplify]: Simplify 1 into 1
1552126187.064 * [backup-simplify]: Simplify (/ 1 1) into 1
1552126187.064 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
1552126187.064 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
1552126187.064 * [taylor]: Taking taylor expansion of 2 in k
1552126187.064 * [backup-simplify]: Simplify 2 into 2
1552126187.064 * [taylor]: Taking taylor expansion of (/ PI n) in k
1552126187.064 * [taylor]: Taking taylor expansion of PI in k
1552126187.064 * [backup-simplify]: Simplify PI into PI
1552126187.064 * [taylor]: Taking taylor expansion of n in k
1552126187.064 * [backup-simplify]: Simplify n into n
1552126187.064 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1552126187.064 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1552126187.064 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1552126187.065 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1552126187.065 * [backup-simplify]: Simplify (- 1/2) into -1/2
1552126187.065 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1552126187.066 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1552126187.066 * [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))))
1552126187.066 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1552126187.066 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1552126187.066 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1552126187.066 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1552126187.066 * [taylor]: Taking taylor expansion of 1/2 in n
1552126187.066 * [backup-simplify]: Simplify 1/2 into 1/2
1552126187.066 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552126187.066 * [taylor]: Taking taylor expansion of 1/2 in n
1552126187.066 * [backup-simplify]: Simplify 1/2 into 1/2
1552126187.066 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552126187.066 * [taylor]: Taking taylor expansion of k in n
1552126187.066 * [backup-simplify]: Simplify k into k
1552126187.066 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552126187.066 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1552126187.066 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1552126187.066 * [taylor]: Taking taylor expansion of 2 in n
1552126187.066 * [backup-simplify]: Simplify 2 into 2
1552126187.066 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552126187.066 * [taylor]: Taking taylor expansion of PI in n
1552126187.066 * [backup-simplify]: Simplify PI into PI
1552126187.066 * [taylor]: Taking taylor expansion of n in n
1552126187.066 * [backup-simplify]: Simplify 0 into 0
1552126187.066 * [backup-simplify]: Simplify 1 into 1
1552126187.067 * [backup-simplify]: Simplify (/ PI 1) into PI
1552126187.067 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552126187.068 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552126187.068 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552126187.068 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1552126187.069 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1552126187.070 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552126187.071 * [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)))
1552126187.073 * [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))))
1552126187.073 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1552126187.073 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1552126187.073 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1552126187.073 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1552126187.073 * [taylor]: Taking taylor expansion of 1/2 in n
1552126187.073 * [backup-simplify]: Simplify 1/2 into 1/2
1552126187.073 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552126187.073 * [taylor]: Taking taylor expansion of 1/2 in n
1552126187.073 * [backup-simplify]: Simplify 1/2 into 1/2
1552126187.073 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552126187.073 * [taylor]: Taking taylor expansion of k in n
1552126187.073 * [backup-simplify]: Simplify k into k
1552126187.073 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552126187.073 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1552126187.073 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1552126187.073 * [taylor]: Taking taylor expansion of 2 in n
1552126187.073 * [backup-simplify]: Simplify 2 into 2
1552126187.073 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552126187.073 * [taylor]: Taking taylor expansion of PI in n
1552126187.073 * [backup-simplify]: Simplify PI into PI
1552126187.073 * [taylor]: Taking taylor expansion of n in n
1552126187.073 * [backup-simplify]: Simplify 0 into 0
1552126187.073 * [backup-simplify]: Simplify 1 into 1
1552126187.074 * [backup-simplify]: Simplify (/ PI 1) into PI
1552126187.074 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552126187.075 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552126187.075 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552126187.075 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1552126187.075 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1552126187.077 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552126187.078 * [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)))
1552126187.079 * [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))))
1552126187.079 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
1552126187.079 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
1552126187.079 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1552126187.079 * [taylor]: Taking taylor expansion of 1/2 in k
1552126187.079 * [backup-simplify]: Simplify 1/2 into 1/2
1552126187.079 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1552126187.079 * [taylor]: Taking taylor expansion of 1/2 in k
1552126187.079 * [backup-simplify]: Simplify 1/2 into 1/2
1552126187.079 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552126187.079 * [taylor]: Taking taylor expansion of k in k
1552126187.079 * [backup-simplify]: Simplify 0 into 0
1552126187.079 * [backup-simplify]: Simplify 1 into 1
1552126187.080 * [backup-simplify]: Simplify (/ 1 1) into 1
1552126187.080 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1552126187.080 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1552126187.080 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1552126187.080 * [taylor]: Taking taylor expansion of 2 in k
1552126187.080 * [backup-simplify]: Simplify 2 into 2
1552126187.080 * [taylor]: Taking taylor expansion of PI in k
1552126187.080 * [backup-simplify]: Simplify PI into PI
1552126187.081 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552126187.081 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552126187.081 * [taylor]: Taking taylor expansion of (log n) in k
1552126187.082 * [taylor]: Taking taylor expansion of n in k
1552126187.082 * [backup-simplify]: Simplify n into n
1552126187.082 * [backup-simplify]: Simplify (log n) into (log n)
1552126187.082 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1552126187.082 * [backup-simplify]: Simplify (- 1/2) into -1/2
1552126187.083 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1552126187.083 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1552126187.084 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1552126187.085 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1552126187.086 * [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))))
1552126187.087 * [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))))
1552126187.088 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1552126187.089 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1552126187.091 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1552126187.091 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1552126187.091 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1552126187.092 * [backup-simplify]: Simplify (- 0) into 0
1552126187.092 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126187.093 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552126187.094 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1552126187.096 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1552126187.096 * [taylor]: Taking taylor expansion of 0 in k
1552126187.096 * [backup-simplify]: Simplify 0 into 0
1552126187.096 * [backup-simplify]: Simplify 0 into 0
1552126187.096 * [backup-simplify]: Simplify 0 into 0
1552126187.097 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552126187.098 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1552126187.102 * [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
1552126187.102 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1552126187.103 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1552126187.103 * [backup-simplify]: Simplify (- 0) into 0
1552126187.104 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126187.105 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552126187.107 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
1552126187.109 * [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
1552126187.109 * [taylor]: Taking taylor expansion of 0 in k
1552126187.109 * [backup-simplify]: Simplify 0 into 0
1552126187.109 * [backup-simplify]: Simplify 0 into 0
1552126187.109 * [backup-simplify]: Simplify 0 into 0
1552126187.109 * [backup-simplify]: Simplify 0 into 0
1552126187.110 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552126187.111 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1552126187.117 * [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
1552126187.117 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1552126187.118 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
1552126187.119 * [backup-simplify]: Simplify (- 0) into 0
1552126187.119 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126187.121 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552126187.123 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
1552126187.125 * [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
1552126187.125 * [taylor]: Taking taylor expansion of 0 in k
1552126187.125 * [backup-simplify]: Simplify 0 into 0
1552126187.125 * [backup-simplify]: Simplify 0 into 0
1552126187.127 * [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)))))
1552126187.127 * [backup-simplify]: Simplify (pow (* (* (/ 1 (- n)) 2) PI) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))
1552126187.127 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0
1552126187.127 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1552126187.127 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
1552126187.127 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
1552126187.127 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1552126187.127 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1552126187.127 * [taylor]: Taking taylor expansion of 1/2 in k
1552126187.127 * [backup-simplify]: Simplify 1/2 into 1/2
1552126187.127 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552126187.127 * [taylor]: Taking taylor expansion of k in k
1552126187.127 * [backup-simplify]: Simplify 0 into 0
1552126187.127 * [backup-simplify]: Simplify 1 into 1
1552126187.128 * [backup-simplify]: Simplify (/ 1 1) into 1
1552126187.128 * [taylor]: Taking taylor expansion of 1/2 in k
1552126187.128 * [backup-simplify]: Simplify 1/2 into 1/2
1552126187.128 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
1552126187.128 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
1552126187.128 * [taylor]: Taking taylor expansion of -2 in k
1552126187.128 * [backup-simplify]: Simplify -2 into -2
1552126187.128 * [taylor]: Taking taylor expansion of (/ PI n) in k
1552126187.128 * [taylor]: Taking taylor expansion of PI in k
1552126187.128 * [backup-simplify]: Simplify PI into PI
1552126187.128 * [taylor]: Taking taylor expansion of n in k
1552126187.128 * [backup-simplify]: Simplify n into n
1552126187.128 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1552126187.128 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1552126187.128 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1552126187.128 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1552126187.129 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1552126187.129 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1552126187.129 * [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)))
1552126187.129 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1552126187.129 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1552126187.129 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1552126187.129 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1552126187.129 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552126187.129 * [taylor]: Taking taylor expansion of 1/2 in n
1552126187.129 * [backup-simplify]: Simplify 1/2 into 1/2
1552126187.129 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552126187.129 * [taylor]: Taking taylor expansion of k in n
1552126187.130 * [backup-simplify]: Simplify k into k
1552126187.130 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552126187.130 * [taylor]: Taking taylor expansion of 1/2 in n
1552126187.130 * [backup-simplify]: Simplify 1/2 into 1/2
1552126187.130 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1552126187.130 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1552126187.130 * [taylor]: Taking taylor expansion of -2 in n
1552126187.130 * [backup-simplify]: Simplify -2 into -2
1552126187.130 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552126187.130 * [taylor]: Taking taylor expansion of PI in n
1552126187.130 * [backup-simplify]: Simplify PI into PI
1552126187.130 * [taylor]: Taking taylor expansion of n in n
1552126187.130 * [backup-simplify]: Simplify 0 into 0
1552126187.130 * [backup-simplify]: Simplify 1 into 1
1552126187.130 * [backup-simplify]: Simplify (/ PI 1) into PI
1552126187.131 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552126187.132 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1552126187.132 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552126187.132 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1552126187.134 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552126187.135 * [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)))
1552126187.136 * [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))))
1552126187.136 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1552126187.136 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1552126187.136 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1552126187.136 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1552126187.136 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552126187.136 * [taylor]: Taking taylor expansion of 1/2 in n
1552126187.136 * [backup-simplify]: Simplify 1/2 into 1/2
1552126187.136 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552126187.136 * [taylor]: Taking taylor expansion of k in n
1552126187.136 * [backup-simplify]: Simplify k into k
1552126187.136 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552126187.136 * [taylor]: Taking taylor expansion of 1/2 in n
1552126187.136 * [backup-simplify]: Simplify 1/2 into 1/2
1552126187.136 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1552126187.136 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1552126187.136 * [taylor]: Taking taylor expansion of -2 in n
1552126187.136 * [backup-simplify]: Simplify -2 into -2
1552126187.136 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552126187.136 * [taylor]: Taking taylor expansion of PI in n
1552126187.136 * [backup-simplify]: Simplify PI into PI
1552126187.136 * [taylor]: Taking taylor expansion of n in n
1552126187.136 * [backup-simplify]: Simplify 0 into 0
1552126187.136 * [backup-simplify]: Simplify 1 into 1
1552126187.137 * [backup-simplify]: Simplify (/ PI 1) into PI
1552126187.137 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552126187.139 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1552126187.139 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552126187.139 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1552126187.142 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552126187.144 * [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)))
1552126187.145 * [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))))
1552126187.145 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
1552126187.145 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
1552126187.145 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1552126187.145 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1552126187.145 * [taylor]: Taking taylor expansion of 1/2 in k
1552126187.145 * [backup-simplify]: Simplify 1/2 into 1/2
1552126187.145 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552126187.145 * [taylor]: Taking taylor expansion of k in k
1552126187.145 * [backup-simplify]: Simplify 0 into 0
1552126187.145 * [backup-simplify]: Simplify 1 into 1
1552126187.145 * [backup-simplify]: Simplify (/ 1 1) into 1
1552126187.145 * [taylor]: Taking taylor expansion of 1/2 in k
1552126187.145 * [backup-simplify]: Simplify 1/2 into 1/2
1552126187.146 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
1552126187.146 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
1552126187.146 * [taylor]: Taking taylor expansion of (* -2 PI) in k
1552126187.146 * [taylor]: Taking taylor expansion of -2 in k
1552126187.146 * [backup-simplify]: Simplify -2 into -2
1552126187.146 * [taylor]: Taking taylor expansion of PI in k
1552126187.146 * [backup-simplify]: Simplify PI into PI
1552126187.146 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552126187.147 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1552126187.147 * [taylor]: Taking taylor expansion of (log n) in k
1552126187.147 * [taylor]: Taking taylor expansion of n in k
1552126187.147 * [backup-simplify]: Simplify n into n
1552126187.147 * [backup-simplify]: Simplify (log n) into (log n)
1552126187.148 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1552126187.148 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1552126187.148 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1552126187.149 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
1552126187.150 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
1552126187.152 * [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))))
1552126187.153 * [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))))
1552126187.154 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1552126187.154 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1552126187.156 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1552126187.156 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1552126187.157 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1552126187.157 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126187.159 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552126187.160 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1552126187.162 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1552126187.162 * [taylor]: Taking taylor expansion of 0 in k
1552126187.162 * [backup-simplify]: Simplify 0 into 0
1552126187.162 * [backup-simplify]: Simplify 0 into 0
1552126187.162 * [backup-simplify]: Simplify 0 into 0
1552126187.163 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552126187.164 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1552126187.168 * [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
1552126187.168 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1552126187.169 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1552126187.169 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126187.171 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552126187.173 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
1552126187.175 * [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
1552126187.175 * [taylor]: Taking taylor expansion of 0 in k
1552126187.175 * [backup-simplify]: Simplify 0 into 0
1552126187.175 * [backup-simplify]: Simplify 0 into 0
1552126187.175 * [backup-simplify]: Simplify 0 into 0
1552126187.175 * [backup-simplify]: Simplify 0 into 0
1552126187.177 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552126187.178 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1552126187.184 * [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
1552126187.185 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1552126187.186 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
1552126187.186 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126187.188 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552126187.190 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
1552126187.193 * [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
1552126187.193 * [taylor]: Taking taylor expansion of 0 in k
1552126187.193 * [backup-simplify]: Simplify 0 into 0
1552126187.193 * [backup-simplify]: Simplify 0 into 0
1552126187.194 * [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)))))
1552126187.194 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1)
1552126187.194 * [backup-simplify]: Simplify (* (* n 2) PI) into (* 2 (* n PI))
1552126187.194 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
1552126187.194 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1552126187.194 * [taylor]: Taking taylor expansion of 2 in n
1552126187.194 * [backup-simplify]: Simplify 2 into 2
1552126187.194 * [taylor]: Taking taylor expansion of (* n PI) in n
1552126187.194 * [taylor]: Taking taylor expansion of n in n
1552126187.194 * [backup-simplify]: Simplify 0 into 0
1552126187.194 * [backup-simplify]: Simplify 1 into 1
1552126187.195 * [taylor]: Taking taylor expansion of PI in n
1552126187.195 * [backup-simplify]: Simplify PI into PI
1552126187.195 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1552126187.195 * [taylor]: Taking taylor expansion of 2 in n
1552126187.195 * [backup-simplify]: Simplify 2 into 2
1552126187.195 * [taylor]: Taking taylor expansion of (* n PI) in n
1552126187.195 * [taylor]: Taking taylor expansion of n in n
1552126187.195 * [backup-simplify]: Simplify 0 into 0
1552126187.195 * [backup-simplify]: Simplify 1 into 1
1552126187.195 * [taylor]: Taking taylor expansion of PI in n
1552126187.195 * [backup-simplify]: Simplify PI into PI
1552126187.195 * [backup-simplify]: Simplify (* 0 PI) into 0
1552126187.196 * [backup-simplify]: Simplify (* 2 0) into 0
1552126187.196 * [backup-simplify]: Simplify 0 into 0
1552126187.197 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552126187.199 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1552126187.199 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552126187.200 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1552126187.201 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1552126187.201 * [backup-simplify]: Simplify 0 into 0
1552126187.203 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1552126187.204 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1552126187.204 * [backup-simplify]: Simplify 0 into 0
1552126187.205 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1552126187.207 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1552126187.207 * [backup-simplify]: Simplify 0 into 0
1552126187.208 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1552126187.210 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
1552126187.210 * [backup-simplify]: Simplify 0 into 0
1552126187.212 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1552126187.214 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
1552126187.214 * [backup-simplify]: Simplify 0 into 0
1552126187.216 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
1552126187.218 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
1552126187.218 * [backup-simplify]: Simplify 0 into 0
1552126187.218 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
1552126187.218 * [backup-simplify]: Simplify (* (* (/ 1 n) 2) PI) into (* 2 (/ PI n))
1552126187.218 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
1552126187.218 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1552126187.218 * [taylor]: Taking taylor expansion of 2 in n
1552126187.218 * [backup-simplify]: Simplify 2 into 2
1552126187.218 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552126187.218 * [taylor]: Taking taylor expansion of PI in n
1552126187.218 * [backup-simplify]: Simplify PI into PI
1552126187.218 * [taylor]: Taking taylor expansion of n in n
1552126187.218 * [backup-simplify]: Simplify 0 into 0
1552126187.218 * [backup-simplify]: Simplify 1 into 1
1552126187.218 * [backup-simplify]: Simplify (/ PI 1) into PI
1552126187.218 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1552126187.219 * [taylor]: Taking taylor expansion of 2 in n
1552126187.219 * [backup-simplify]: Simplify 2 into 2
1552126187.219 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552126187.219 * [taylor]: Taking taylor expansion of PI in n
1552126187.219 * [backup-simplify]: Simplify PI into PI
1552126187.219 * [taylor]: Taking taylor expansion of n in n
1552126187.219 * [backup-simplify]: Simplify 0 into 0
1552126187.219 * [backup-simplify]: Simplify 1 into 1
1552126187.219 * [backup-simplify]: Simplify (/ PI 1) into PI
1552126187.219 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552126187.220 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552126187.220 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1552126187.221 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1552126187.221 * [backup-simplify]: Simplify 0 into 0
1552126187.221 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552126187.222 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1552126187.222 * [backup-simplify]: Simplify 0 into 0
1552126187.222 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552126187.223 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1552126187.223 * [backup-simplify]: Simplify 0 into 0
1552126187.224 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552126187.224 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1552126187.224 * [backup-simplify]: Simplify 0 into 0
1552126187.225 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552126187.226 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1552126187.226 * [backup-simplify]: Simplify 0 into 0
1552126187.227 * [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
1552126187.228 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1552126187.228 * [backup-simplify]: Simplify 0 into 0
1552126187.228 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
1552126187.228 * [backup-simplify]: Simplify (* (* (/ 1 (- n)) 2) PI) into (* -2 (/ PI n))
1552126187.228 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
1552126187.228 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1552126187.228 * [taylor]: Taking taylor expansion of -2 in n
1552126187.228 * [backup-simplify]: Simplify -2 into -2
1552126187.228 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552126187.228 * [taylor]: Taking taylor expansion of PI in n
1552126187.228 * [backup-simplify]: Simplify PI into PI
1552126187.228 * [taylor]: Taking taylor expansion of n in n
1552126187.228 * [backup-simplify]: Simplify 0 into 0
1552126187.228 * [backup-simplify]: Simplify 1 into 1
1552126187.229 * [backup-simplify]: Simplify (/ PI 1) into PI
1552126187.229 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1552126187.229 * [taylor]: Taking taylor expansion of -2 in n
1552126187.229 * [backup-simplify]: Simplify -2 into -2
1552126187.229 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552126187.229 * [taylor]: Taking taylor expansion of PI in n
1552126187.229 * [backup-simplify]: Simplify PI into PI
1552126187.229 * [taylor]: Taking taylor expansion of n in n
1552126187.229 * [backup-simplify]: Simplify 0 into 0
1552126187.229 * [backup-simplify]: Simplify 1 into 1
1552126187.229 * [backup-simplify]: Simplify (/ PI 1) into PI
1552126187.230 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552126187.230 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552126187.231 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1552126187.232 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1552126187.232 * [backup-simplify]: Simplify 0 into 0
1552126187.233 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552126187.234 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1552126187.234 * [backup-simplify]: Simplify 0 into 0
1552126187.234 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552126187.235 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1552126187.235 * [backup-simplify]: Simplify 0 into 0
1552126187.236 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552126187.237 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1552126187.237 * [backup-simplify]: Simplify 0 into 0
1552126187.237 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552126187.238 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1552126187.238 * [backup-simplify]: Simplify 0 into 0
1552126187.239 * [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
1552126187.240 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1552126187.240 * [backup-simplify]: Simplify 0 into 0
1552126187.240 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
1552126187.240 * * * * [progress]: [ 3 / 4 ] generating series at (2 2)
1552126187.240 * [backup-simplify]: Simplify (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) into (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k))
1552126187.240 * [approximate]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in (k n) around 0
1552126187.240 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in n
1552126187.240 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
1552126187.240 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1552126187.240 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1552126187.240 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1552126187.240 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1552126187.240 * [taylor]: Taking taylor expansion of 1/2 in n
1552126187.241 * [backup-simplify]: Simplify 1/2 into 1/2
1552126187.241 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
1552126187.241 * [taylor]: Taking taylor expansion of 1/2 in n
1552126187.241 * [backup-simplify]: Simplify 1/2 into 1/2
1552126187.241 * [taylor]: Taking taylor expansion of k in n
1552126187.241 * [backup-simplify]: Simplify k into k
1552126187.241 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1552126187.241 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1552126187.241 * [taylor]: Taking taylor expansion of 2 in n
1552126187.241 * [backup-simplify]: Simplify 2 into 2
1552126187.241 * [taylor]: Taking taylor expansion of (* n PI) in n
1552126187.241 * [taylor]: Taking taylor expansion of n in n
1552126187.241 * [backup-simplify]: Simplify 0 into 0
1552126187.241 * [backup-simplify]: Simplify 1 into 1
1552126187.241 * [taylor]: Taking taylor expansion of PI in n
1552126187.241 * [backup-simplify]: Simplify PI into PI
1552126187.241 * [backup-simplify]: Simplify (* 0 PI) into 0
1552126187.241 * [backup-simplify]: Simplify (* 2 0) into 0
1552126187.242 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552126187.243 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1552126187.244 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552126187.244 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
1552126187.244 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1552126187.244 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1552126187.245 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552126187.246 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
1552126187.246 * [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)))))
1552126187.247 * [backup-simplify]: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) into (/ 1 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))
1552126187.247 * [taylor]: Taking taylor expansion of (sqrt k) in n
1552126187.247 * [taylor]: Taking taylor expansion of k in n
1552126187.247 * [backup-simplify]: Simplify k into k
1552126187.247 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
1552126187.247 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
1552126187.247 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in k
1552126187.247 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
1552126187.247 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1552126187.247 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1552126187.247 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1552126187.247 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1552126187.247 * [taylor]: Taking taylor expansion of 1/2 in k
1552126187.247 * [backup-simplify]: Simplify 1/2 into 1/2
1552126187.247 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1552126187.247 * [taylor]: Taking taylor expansion of 1/2 in k
1552126187.247 * [backup-simplify]: Simplify 1/2 into 1/2
1552126187.247 * [taylor]: Taking taylor expansion of k in k
1552126187.247 * [backup-simplify]: Simplify 0 into 0
1552126187.247 * [backup-simplify]: Simplify 1 into 1
1552126187.247 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1552126187.247 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1552126187.248 * [taylor]: Taking taylor expansion of 2 in k
1552126187.248 * [backup-simplify]: Simplify 2 into 2
1552126187.248 * [taylor]: Taking taylor expansion of (* n PI) in k
1552126187.248 * [taylor]: Taking taylor expansion of n in k
1552126187.248 * [backup-simplify]: Simplify n into n
1552126187.248 * [taylor]: Taking taylor expansion of PI in k
1552126187.248 * [backup-simplify]: Simplify PI into PI
1552126187.248 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1552126187.248 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1552126187.248 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1552126187.248 * [backup-simplify]: Simplify (* 1/2 0) into 0
1552126187.248 * [backup-simplify]: Simplify (- 0) into 0
1552126187.249 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1552126187.249 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1552126187.249 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1552126187.249 * [backup-simplify]: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2))))
1552126187.249 * [taylor]: Taking taylor expansion of (sqrt k) in k
1552126187.249 * [taylor]: Taking taylor expansion of k in k
1552126187.249 * [backup-simplify]: Simplify 0 into 0
1552126187.249 * [backup-simplify]: Simplify 1 into 1
1552126187.249 * [backup-simplify]: Simplify (sqrt 0) into 0
1552126187.250 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1552126187.250 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in k
1552126187.250 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
1552126187.250 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1552126187.250 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1552126187.250 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1552126187.250 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1552126187.250 * [taylor]: Taking taylor expansion of 1/2 in k
1552126187.250 * [backup-simplify]: Simplify 1/2 into 1/2
1552126187.250 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1552126187.250 * [taylor]: Taking taylor expansion of 1/2 in k
1552126187.250 * [backup-simplify]: Simplify 1/2 into 1/2
1552126187.250 * [taylor]: Taking taylor expansion of k in k
1552126187.250 * [backup-simplify]: Simplify 0 into 0
1552126187.250 * [backup-simplify]: Simplify 1 into 1
1552126187.250 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1552126187.250 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1552126187.250 * [taylor]: Taking taylor expansion of 2 in k
1552126187.250 * [backup-simplify]: Simplify 2 into 2
1552126187.250 * [taylor]: Taking taylor expansion of (* n PI) in k
1552126187.250 * [taylor]: Taking taylor expansion of n in k
1552126187.250 * [backup-simplify]: Simplify n into n
1552126187.250 * [taylor]: Taking taylor expansion of PI in k
1552126187.250 * [backup-simplify]: Simplify PI into PI
1552126187.250 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1552126187.251 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1552126187.251 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1552126187.251 * [backup-simplify]: Simplify (* 1/2 0) into 0
1552126187.251 * [backup-simplify]: Simplify (- 0) into 0
1552126187.251 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1552126187.251 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1552126187.252 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1552126187.252 * [backup-simplify]: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2))))
1552126187.252 * [taylor]: Taking taylor expansion of (sqrt k) in k
1552126187.252 * [taylor]: Taking taylor expansion of k in k
1552126187.252 * [backup-simplify]: Simplify 0 into 0
1552126187.252 * [backup-simplify]: Simplify 1 into 1
1552126187.252 * [backup-simplify]: Simplify (sqrt 0) into 0
1552126187.253 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1552126187.253 * [backup-simplify]: Simplify (* (sqrt (/ 1 (* PI (* n 2)))) 0) into 0
1552126187.253 * [taylor]: Taking taylor expansion of 0 in n
1552126187.253 * [backup-simplify]: Simplify 0 into 0
1552126187.253 * [backup-simplify]: Simplify 0 into 0
1552126187.254 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0
1552126187.254 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0
1552126187.255 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0
1552126187.256 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1552126187.256 * [backup-simplify]: Simplify (- 1/2) into -1/2
1552126187.257 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1552126187.257 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI)))))
1552126187.258 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1)))) into (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))
1552126187.258 * [backup-simplify]: Simplify (- (+ (* (sqrt (/ 1 (* PI (* n 2)))) (/ (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) (pow (* 2 (* n PI)) 1/2))))) into (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))))
1552126187.260 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (* PI (* n 2)))) +nan.0) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) 0)) into (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))))
1552126187.260 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n
1552126187.260 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n
1552126187.260 * [taylor]: Taking taylor expansion of +nan.0 in n
1552126187.260 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552126187.260 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n
1552126187.260 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n
1552126187.260 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n
1552126187.260 * [taylor]: Taking taylor expansion of (* n PI) in n
1552126187.260 * [taylor]: Taking taylor expansion of n in n
1552126187.260 * [backup-simplify]: Simplify 0 into 0
1552126187.261 * [backup-simplify]: Simplify 1 into 1
1552126187.261 * [taylor]: Taking taylor expansion of PI in n
1552126187.261 * [backup-simplify]: Simplify PI into PI
1552126187.261 * [backup-simplify]: Simplify (* 0 PI) into 0
1552126187.263 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552126187.263 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI)
1552126187.264 * [backup-simplify]: Simplify (sqrt 0) into 0
1552126187.266 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI)
1552126187.266 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n
1552126187.266 * [taylor]: Taking taylor expansion of 1/2 in n
1552126187.266 * [backup-simplify]: Simplify 1/2 into 1/2
1552126187.266 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
1552126187.267 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
1552126187.270 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
1552126187.271 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0
1552126187.278 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
1552126187.282 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
1552126187.285 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 1/2) PI))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
1552126187.285 * [backup-simplify]: Simplify 0 into 0
1552126187.288 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1552126187.289 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0
1552126187.290 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0
1552126187.292 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 1)))) 2) into 0
1552126187.293 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1552126187.293 * [backup-simplify]: Simplify (- 0) into 0
1552126187.294 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126187.295 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0
1552126187.296 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2)))
1552126187.300 * [backup-simplify]: Simplify (- (+ (* (sqrt (/ 1 (* PI (* n 2)))) (/ (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) (pow (* 2 (* n PI)) 1/2))) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (/ (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) (pow (* 2 (* n PI)) 1/2))))) into (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (* n PI))))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))))
1552126187.306 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (* PI (* n 2)))) +nan.0) (+ (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) +nan.0) (* (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (* n PI))))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))))))
1552126187.306 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))))) in n
1552126187.306 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))))) in n
1552126187.306 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) in n
1552126187.306 * [taylor]: Taking taylor expansion of +nan.0 in n
1552126187.306 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552126187.306 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))) in n
1552126187.306 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) in n
1552126187.306 * [taylor]: Taking taylor expansion of (sqrt 2) in n
1552126187.306 * [taylor]: Taking taylor expansion of 2 in n
1552126187.306 * [backup-simplify]: Simplify 2 into 2
1552126187.307 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
1552126187.307 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
1552126187.307 * [taylor]: Taking taylor expansion of (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2)) in n
1552126187.307 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1552126187.308 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1552126187.308 * [taylor]: Taking taylor expansion of 2 in n
1552126187.308 * [backup-simplify]: Simplify 2 into 2
1552126187.308 * [taylor]: Taking taylor expansion of (* n PI) in n
1552126187.308 * [taylor]: Taking taylor expansion of n in n
1552126187.308 * [backup-simplify]: Simplify 0 into 0
1552126187.308 * [backup-simplify]: Simplify 1 into 1
1552126187.308 * [taylor]: Taking taylor expansion of PI in n
1552126187.308 * [backup-simplify]: Simplify PI into PI
1552126187.308 * [backup-simplify]: Simplify (* 0 PI) into 0
1552126187.309 * [backup-simplify]: Simplify (* 2 0) into 0
1552126187.310 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552126187.312 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1552126187.313 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552126187.313 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in n
1552126187.313 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n
1552126187.313 * [taylor]: Taking taylor expansion of 1/2 in n
1552126187.313 * [backup-simplify]: Simplify 1/2 into 1/2
1552126187.314 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
1552126187.315 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
1552126187.315 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n
1552126187.315 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n
1552126187.315 * [taylor]: Taking taylor expansion of (* n PI) in n
1552126187.315 * [taylor]: Taking taylor expansion of n in n
1552126187.315 * [backup-simplify]: Simplify 0 into 0
1552126187.315 * [backup-simplify]: Simplify 1 into 1
1552126187.315 * [taylor]: Taking taylor expansion of PI in n
1552126187.315 * [backup-simplify]: Simplify PI into PI
1552126187.315 * [backup-simplify]: Simplify (* 0 PI) into 0
1552126187.317 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552126187.317 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI)
1552126187.318 * [backup-simplify]: Simplify (sqrt 0) into 0
1552126187.320 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI)
1552126187.320 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n
1552126187.320 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n
1552126187.320 * [taylor]: Taking taylor expansion of +nan.0 in n
1552126187.320 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552126187.320 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n
1552126187.320 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n
1552126187.320 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n
1552126187.320 * [taylor]: Taking taylor expansion of (* n PI) in n
1552126187.320 * [taylor]: Taking taylor expansion of n in n
1552126187.320 * [backup-simplify]: Simplify 0 into 0
1552126187.320 * [backup-simplify]: Simplify 1 into 1
1552126187.320 * [taylor]: Taking taylor expansion of PI in n
1552126187.320 * [backup-simplify]: Simplify PI into PI
1552126187.321 * [backup-simplify]: Simplify (* 0 PI) into 0
1552126187.322 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552126187.323 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI)
1552126187.323 * [backup-simplify]: Simplify (sqrt 0) into 0
1552126187.325 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI)
1552126187.325 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n
1552126187.326 * [taylor]: Taking taylor expansion of 1/2 in n
1552126187.326 * [backup-simplify]: Simplify 1/2 into 1/2
1552126187.326 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
1552126187.327 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
1552126187.328 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552126187.329 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2)
1552126187.331 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (pow (sqrt 1/2) 2)) into (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))
1552126187.334 * [backup-simplify]: Simplify (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) into (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))))
1552126187.336 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552126187.336 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0
1552126187.338 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1552126187.339 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1552126187.340 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1552126187.342 * [backup-simplify]: Simplify (+ (* (+ (log n) (log (* 2 PI))) 0) (* 0 (pow (sqrt 1/2) 2))) into 0
1552126187.345 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))))) into 0
1552126187.348 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) (/ +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))
1552126187.350 * [backup-simplify]: Simplify (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) 0) into 0
1552126187.363 * [backup-simplify]: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))) (* 0 0)) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))
1552126187.366 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
1552126187.367 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0
1552126187.371 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
1552126187.373 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
1552126187.381 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))) (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))))
1552126187.392 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))))
1552126187.410 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))))
1552126187.412 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
1552126187.413 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1552126187.415 * [backup-simplify]: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0
1552126187.419 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 PI) 2) (+)) (* 2 0)) into (/ +nan.0 (pow PI 2))
1552126187.426 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (/ +nan.0 PI) 0) (* (/ +nan.0 (pow PI 2)) (sqrt 1/2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))
1552126187.435 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))
1552126187.440 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))
1552126187.444 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))
1552126187.470 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) (* n k)) (+ (* (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) (pow (* 1 k) 2)) (* (- (* +nan.0 (/ (sqrt 1/2) PI))) (* 1 k)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (+ (* +nan.0 (/ (* n (* (sqrt 1/2) k)) (pow PI 2))) (- (+ (* +nan.0 (/ (* (log n) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2)))) PI)) (- (* +nan.0 (/ (* (sqrt 1/2) k) PI)))))))))))
1552126187.471 * [backup-simplify]: Simplify (/ (sqrt (/ 1 k)) (pow (* (* (/ 1 n) 2) PI) (- 1/2 (/ (/ 1 k) 2)))) into (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k)))
1552126187.471 * [approximate]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in (k n) around 0
1552126187.471 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in n
1552126187.471 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1552126187.471 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1552126187.471 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1552126187.471 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1552126187.471 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1552126187.471 * [taylor]: Taking taylor expansion of 1/2 in n
1552126187.471 * [backup-simplify]: Simplify 1/2 into 1/2
1552126187.471 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552126187.471 * [taylor]: Taking taylor expansion of 1/2 in n
1552126187.471 * [backup-simplify]: Simplify 1/2 into 1/2
1552126187.471 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552126187.471 * [taylor]: Taking taylor expansion of k in n
1552126187.471 * [backup-simplify]: Simplify k into k
1552126187.471 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552126187.471 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1552126187.471 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1552126187.471 * [taylor]: Taking taylor expansion of 2 in n
1552126187.471 * [backup-simplify]: Simplify 2 into 2
1552126187.471 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552126187.471 * [taylor]: Taking taylor expansion of PI in n
1552126187.471 * [backup-simplify]: Simplify PI into PI
1552126187.471 * [taylor]: Taking taylor expansion of n in n
1552126187.471 * [backup-simplify]: Simplify 0 into 0
1552126187.471 * [backup-simplify]: Simplify 1 into 1
1552126187.472 * [backup-simplify]: Simplify (/ PI 1) into PI
1552126187.472 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552126187.473 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552126187.474 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552126187.474 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1552126187.474 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1552126187.476 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552126187.477 * [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)))
1552126187.478 * [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))))
1552126187.479 * [backup-simplify]: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
1552126187.479 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
1552126187.479 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552126187.479 * [taylor]: Taking taylor expansion of k in n
1552126187.479 * [backup-simplify]: Simplify k into k
1552126187.479 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552126187.480 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
1552126187.480 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1552126187.480 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
1552126187.480 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k
1552126187.480 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
1552126187.480 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
1552126187.480 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1552126187.480 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1552126187.480 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1552126187.480 * [taylor]: Taking taylor expansion of 1/2 in k
1552126187.480 * [backup-simplify]: Simplify 1/2 into 1/2
1552126187.480 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1552126187.480 * [taylor]: Taking taylor expansion of 1/2 in k
1552126187.480 * [backup-simplify]: Simplify 1/2 into 1/2
1552126187.480 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552126187.480 * [taylor]: Taking taylor expansion of k in k
1552126187.480 * [backup-simplify]: Simplify 0 into 0
1552126187.480 * [backup-simplify]: Simplify 1 into 1
1552126187.481 * [backup-simplify]: Simplify (/ 1 1) into 1
1552126187.481 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
1552126187.481 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
1552126187.481 * [taylor]: Taking taylor expansion of 2 in k
1552126187.481 * [backup-simplify]: Simplify 2 into 2
1552126187.481 * [taylor]: Taking taylor expansion of (/ PI n) in k
1552126187.481 * [taylor]: Taking taylor expansion of PI in k
1552126187.481 * [backup-simplify]: Simplify PI into PI
1552126187.481 * [taylor]: Taking taylor expansion of n in k
1552126187.481 * [backup-simplify]: Simplify n into n
1552126187.481 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1552126187.481 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1552126187.481 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1552126187.481 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1552126187.482 * [backup-simplify]: Simplify (- 1/2) into -1/2
1552126187.482 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1552126187.482 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1552126187.483 * [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))))
1552126187.483 * [backup-simplify]: Simplify (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))
1552126187.483 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
1552126187.483 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552126187.483 * [taylor]: Taking taylor expansion of k in k
1552126187.483 * [backup-simplify]: Simplify 0 into 0
1552126187.483 * [backup-simplify]: Simplify 1 into 1
1552126187.483 * [backup-simplify]: Simplify (/ 1 1) into 1
1552126187.484 * [backup-simplify]: Simplify (sqrt 0) into 0
1552126187.485 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1552126187.485 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k
1552126187.485 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
1552126187.485 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
1552126187.485 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1552126187.485 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1552126187.485 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1552126187.485 * [taylor]: Taking taylor expansion of 1/2 in k
1552126187.485 * [backup-simplify]: Simplify 1/2 into 1/2
1552126187.485 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1552126187.485 * [taylor]: Taking taylor expansion of 1/2 in k
1552126187.486 * [backup-simplify]: Simplify 1/2 into 1/2
1552126187.486 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552126187.486 * [taylor]: Taking taylor expansion of k in k
1552126187.486 * [backup-simplify]: Simplify 0 into 0
1552126187.486 * [backup-simplify]: Simplify 1 into 1
1552126187.486 * [backup-simplify]: Simplify (/ 1 1) into 1
1552126187.486 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
1552126187.486 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
1552126187.486 * [taylor]: Taking taylor expansion of 2 in k
1552126187.486 * [backup-simplify]: Simplify 2 into 2
1552126187.486 * [taylor]: Taking taylor expansion of (/ PI n) in k
1552126187.486 * [taylor]: Taking taylor expansion of PI in k
1552126187.486 * [backup-simplify]: Simplify PI into PI
1552126187.486 * [taylor]: Taking taylor expansion of n in k
1552126187.486 * [backup-simplify]: Simplify n into n
1552126187.486 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1552126187.486 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1552126187.486 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1552126187.487 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1552126187.487 * [backup-simplify]: Simplify (- 1/2) into -1/2
1552126187.488 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1552126187.488 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1552126187.488 * [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))))
1552126187.488 * [backup-simplify]: Simplify (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))
1552126187.488 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
1552126187.488 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552126187.488 * [taylor]: Taking taylor expansion of k in k
1552126187.488 * [backup-simplify]: Simplify 0 into 0
1552126187.488 * [backup-simplify]: Simplify 1 into 1
1552126187.489 * [backup-simplify]: Simplify (/ 1 1) into 1
1552126187.489 * [backup-simplify]: Simplify (sqrt 0) into 0
1552126187.491 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1552126187.491 * [backup-simplify]: Simplify (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0
1552126187.491 * [taylor]: Taking taylor expansion of 0 in n
1552126187.491 * [backup-simplify]: Simplify 0 into 0
1552126187.491 * [backup-simplify]: Simplify 0 into 0
1552126187.491 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0
1552126187.492 * [backup-simplify]: Simplify (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))
1552126187.492 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n
1552126187.492 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
1552126187.492 * [taylor]: Taking taylor expansion of +nan.0 in n
1552126187.492 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552126187.492 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1552126187.492 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1552126187.492 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1552126187.492 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1552126187.492 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1552126187.492 * [taylor]: Taking taylor expansion of 1/2 in n
1552126187.492 * [backup-simplify]: Simplify 1/2 into 1/2
1552126187.492 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552126187.492 * [taylor]: Taking taylor expansion of 1/2 in n
1552126187.492 * [backup-simplify]: Simplify 1/2 into 1/2
1552126187.492 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552126187.492 * [taylor]: Taking taylor expansion of k in n
1552126187.492 * [backup-simplify]: Simplify k into k
1552126187.493 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552126187.493 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1552126187.493 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1552126187.493 * [taylor]: Taking taylor expansion of 2 in n
1552126187.493 * [backup-simplify]: Simplify 2 into 2
1552126187.493 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552126187.493 * [taylor]: Taking taylor expansion of PI in n
1552126187.493 * [backup-simplify]: Simplify PI into PI
1552126187.493 * [taylor]: Taking taylor expansion of n in n
1552126187.493 * [backup-simplify]: Simplify 0 into 0
1552126187.493 * [backup-simplify]: Simplify 1 into 1
1552126187.493 * [backup-simplify]: Simplify (/ PI 1) into PI
1552126187.494 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552126187.495 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552126187.495 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552126187.495 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1552126187.495 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1552126187.496 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552126187.497 * [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)))
1552126187.499 * [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))))
1552126187.500 * [backup-simplify]: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
1552126187.501 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (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)))))
1552126187.502 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))
1552126187.503 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))
1552126187.503 * [backup-simplify]: Simplify 0 into 0
1552126187.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1552126187.507 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1552126187.508 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0
1552126187.509 * [backup-simplify]: Simplify (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))
1552126187.509 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n
1552126187.509 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
1552126187.509 * [taylor]: Taking taylor expansion of +nan.0 in n
1552126187.509 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552126187.509 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1552126187.509 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1552126187.509 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1552126187.509 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1552126187.509 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1552126187.509 * [taylor]: Taking taylor expansion of 1/2 in n
1552126187.509 * [backup-simplify]: Simplify 1/2 into 1/2
1552126187.509 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552126187.509 * [taylor]: Taking taylor expansion of 1/2 in n
1552126187.509 * [backup-simplify]: Simplify 1/2 into 1/2
1552126187.509 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552126187.509 * [taylor]: Taking taylor expansion of k in n
1552126187.509 * [backup-simplify]: Simplify k into k
1552126187.509 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552126187.509 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1552126187.509 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1552126187.509 * [taylor]: Taking taylor expansion of 2 in n
1552126187.509 * [backup-simplify]: Simplify 2 into 2
1552126187.509 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552126187.509 * [taylor]: Taking taylor expansion of PI in n
1552126187.509 * [backup-simplify]: Simplify PI into PI
1552126187.509 * [taylor]: Taking taylor expansion of n in n
1552126187.509 * [backup-simplify]: Simplify 0 into 0
1552126187.509 * [backup-simplify]: Simplify 1 into 1
1552126187.510 * [backup-simplify]: Simplify (/ PI 1) into PI
1552126187.510 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552126187.511 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552126187.511 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552126187.512 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1552126187.512 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1552126187.513 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552126187.514 * [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)))
1552126187.515 * [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))))
1552126187.517 * [backup-simplify]: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
1552126187.518 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (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)))))
1552126187.519 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))
1552126187.520 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))
1552126187.521 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1552126187.522 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1552126187.524 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1552126187.524 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1552126187.525 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1552126187.525 * [backup-simplify]: Simplify (- 0) into 0
1552126187.526 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126187.527 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552126187.528 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1552126187.530 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1552126187.533 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) (/ 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))) into 0
1552126187.535 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0
1552126187.535 * [backup-simplify]: Simplify (- 0) into 0
1552126187.535 * [backup-simplify]: Simplify 0 into 0
1552126187.535 * [backup-simplify]: Simplify 0 into 0
1552126187.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552126187.541 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1552126187.541 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0
1552126187.542 * [backup-simplify]: Simplify (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))
1552126187.542 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n
1552126187.542 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
1552126187.542 * [taylor]: Taking taylor expansion of +nan.0 in n
1552126187.542 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552126187.542 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1552126187.543 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1552126187.543 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1552126187.543 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1552126187.543 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1552126187.543 * [taylor]: Taking taylor expansion of 1/2 in n
1552126187.543 * [backup-simplify]: Simplify 1/2 into 1/2
1552126187.543 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552126187.543 * [taylor]: Taking taylor expansion of 1/2 in n
1552126187.543 * [backup-simplify]: Simplify 1/2 into 1/2
1552126187.543 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552126187.543 * [taylor]: Taking taylor expansion of k in n
1552126187.543 * [backup-simplify]: Simplify k into k
1552126187.543 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552126187.543 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1552126187.543 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1552126187.543 * [taylor]: Taking taylor expansion of 2 in n
1552126187.543 * [backup-simplify]: Simplify 2 into 2
1552126187.543 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552126187.543 * [taylor]: Taking taylor expansion of PI in n
1552126187.543 * [backup-simplify]: Simplify PI into PI
1552126187.543 * [taylor]: Taking taylor expansion of n in n
1552126187.543 * [backup-simplify]: Simplify 0 into 0
1552126187.543 * [backup-simplify]: Simplify 1 into 1
1552126187.544 * [backup-simplify]: Simplify (/ PI 1) into PI
1552126187.544 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552126187.545 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552126187.545 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552126187.545 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1552126187.545 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1552126187.549 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552126187.550 * [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)))
1552126187.552 * [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))))
1552126187.553 * [backup-simplify]: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
1552126187.554 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (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)))))
1552126187.555 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))
1552126187.556 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))
1552126187.561 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (* 1 (/ 1 k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n)))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))))))))))
1552126187.561 * [backup-simplify]: Simplify (/ (sqrt (/ 1 (- k))) (pow (* (* (/ 1 (- n)) 2) PI) (- 1/2 (/ (/ 1 (- k)) 2)))) into (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)))
1552126187.561 * [approximate]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0
1552126187.561 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in n
1552126187.561 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
1552126187.561 * [taylor]: Taking taylor expansion of (/ -1 k) in n
1552126187.561 * [taylor]: Taking taylor expansion of -1 in n
1552126187.561 * [backup-simplify]: Simplify -1 into -1
1552126187.562 * [taylor]: Taking taylor expansion of k in n
1552126187.562 * [backup-simplify]: Simplify k into k
1552126187.562 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
1552126187.562 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1552126187.562 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1552126187.562 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1552126187.562 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1552126187.562 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1552126187.562 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1552126187.562 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1552126187.562 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552126187.562 * [taylor]: Taking taylor expansion of 1/2 in n
1552126187.562 * [backup-simplify]: Simplify 1/2 into 1/2
1552126187.562 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552126187.562 * [taylor]: Taking taylor expansion of k in n
1552126187.562 * [backup-simplify]: Simplify k into k
1552126187.562 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552126187.562 * [taylor]: Taking taylor expansion of 1/2 in n
1552126187.562 * [backup-simplify]: Simplify 1/2 into 1/2
1552126187.562 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1552126187.562 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1552126187.562 * [taylor]: Taking taylor expansion of -2 in n
1552126187.562 * [backup-simplify]: Simplify -2 into -2
1552126187.562 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552126187.562 * [taylor]: Taking taylor expansion of PI in n
1552126187.563 * [backup-simplify]: Simplify PI into PI
1552126187.563 * [taylor]: Taking taylor expansion of n in n
1552126187.563 * [backup-simplify]: Simplify 0 into 0
1552126187.563 * [backup-simplify]: Simplify 1 into 1
1552126187.563 * [backup-simplify]: Simplify (/ PI 1) into PI
1552126187.564 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552126187.565 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1552126187.565 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552126187.565 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1552126187.566 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552126187.567 * [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)))
1552126187.568 * [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))))
1552126187.569 * [backup-simplify]: Simplify (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
1552126187.569 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k
1552126187.569 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
1552126187.570 * [taylor]: Taking taylor expansion of (/ -1 k) in k
1552126187.570 * [taylor]: Taking taylor expansion of -1 in k
1552126187.570 * [backup-simplify]: Simplify -1 into -1
1552126187.570 * [taylor]: Taking taylor expansion of k in k
1552126187.570 * [backup-simplify]: Simplify 0 into 0
1552126187.570 * [backup-simplify]: Simplify 1 into 1
1552126187.570 * [backup-simplify]: Simplify (/ -1 1) into -1
1552126187.570 * [backup-simplify]: Simplify (sqrt 0) into 0
1552126187.571 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1552126187.571 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1552126187.571 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
1552126187.571 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
1552126187.571 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1552126187.571 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1552126187.571 * [taylor]: Taking taylor expansion of 1/2 in k
1552126187.571 * [backup-simplify]: Simplify 1/2 into 1/2
1552126187.571 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552126187.571 * [taylor]: Taking taylor expansion of k in k
1552126187.571 * [backup-simplify]: Simplify 0 into 0
1552126187.571 * [backup-simplify]: Simplify 1 into 1
1552126187.571 * [backup-simplify]: Simplify (/ 1 1) into 1
1552126187.571 * [taylor]: Taking taylor expansion of 1/2 in k
1552126187.571 * [backup-simplify]: Simplify 1/2 into 1/2
1552126187.571 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
1552126187.571 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
1552126187.571 * [taylor]: Taking taylor expansion of -2 in k
1552126187.571 * [backup-simplify]: Simplify -2 into -2
1552126187.571 * [taylor]: Taking taylor expansion of (/ PI n) in k
1552126187.571 * [taylor]: Taking taylor expansion of PI in k
1552126187.571 * [backup-simplify]: Simplify PI into PI
1552126187.571 * [taylor]: Taking taylor expansion of n in k
1552126187.571 * [backup-simplify]: Simplify n into n
1552126187.572 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1552126187.572 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1552126187.572 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1552126187.572 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1552126187.572 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1552126187.572 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1552126187.572 * [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)))
1552126187.572 * [backup-simplify]: Simplify (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))
1552126187.572 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k
1552126187.573 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
1552126187.573 * [taylor]: Taking taylor expansion of (/ -1 k) in k
1552126187.573 * [taylor]: Taking taylor expansion of -1 in k
1552126187.573 * [backup-simplify]: Simplify -1 into -1
1552126187.573 * [taylor]: Taking taylor expansion of k in k
1552126187.573 * [backup-simplify]: Simplify 0 into 0
1552126187.573 * [backup-simplify]: Simplify 1 into 1
1552126187.573 * [backup-simplify]: Simplify (/ -1 1) into -1
1552126187.573 * [backup-simplify]: Simplify (sqrt 0) into 0
1552126187.574 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1552126187.574 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1552126187.574 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
1552126187.574 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
1552126187.574 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1552126187.574 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1552126187.574 * [taylor]: Taking taylor expansion of 1/2 in k
1552126187.574 * [backup-simplify]: Simplify 1/2 into 1/2
1552126187.574 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552126187.574 * [taylor]: Taking taylor expansion of k in k
1552126187.574 * [backup-simplify]: Simplify 0 into 0
1552126187.574 * [backup-simplify]: Simplify 1 into 1
1552126187.574 * [backup-simplify]: Simplify (/ 1 1) into 1
1552126187.574 * [taylor]: Taking taylor expansion of 1/2 in k
1552126187.574 * [backup-simplify]: Simplify 1/2 into 1/2
1552126187.574 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
1552126187.574 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
1552126187.574 * [taylor]: Taking taylor expansion of -2 in k
1552126187.574 * [backup-simplify]: Simplify -2 into -2
1552126187.574 * [taylor]: Taking taylor expansion of (/ PI n) in k
1552126187.574 * [taylor]: Taking taylor expansion of PI in k
1552126187.574 * [backup-simplify]: Simplify PI into PI
1552126187.574 * [taylor]: Taking taylor expansion of n in k
1552126187.574 * [backup-simplify]: Simplify n into n
1552126187.575 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1552126187.575 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1552126187.575 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1552126187.575 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1552126187.575 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1552126187.575 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1552126187.575 * [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)))
1552126187.575 * [backup-simplify]: Simplify (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))
1552126187.576 * [taylor]: Taking taylor expansion of (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
1552126187.576 * [taylor]: Taking taylor expansion of +nan.0 in n
1552126187.576 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552126187.576 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
1552126187.576 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1552126187.576 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1552126187.576 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1552126187.576 * [taylor]: Taking taylor expansion of -2 in n
1552126187.576 * [backup-simplify]: Simplify -2 into -2
1552126187.576 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552126187.576 * [taylor]: Taking taylor expansion of PI in n
1552126187.576 * [backup-simplify]: Simplify PI into PI
1552126187.576 * [taylor]: Taking taylor expansion of n in n
1552126187.576 * [backup-simplify]: Simplify 0 into 0
1552126187.576 * [backup-simplify]: Simplify 1 into 1
1552126187.576 * [backup-simplify]: Simplify (/ PI 1) into PI
1552126187.576 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552126187.577 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1552126187.577 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1552126187.577 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552126187.577 * [taylor]: Taking taylor expansion of 1/2 in n
1552126187.577 * [backup-simplify]: Simplify 1/2 into 1/2
1552126187.577 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552126187.577 * [taylor]: Taking taylor expansion of k in n
1552126187.577 * [backup-simplify]: Simplify k into k
1552126187.577 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552126187.577 * [taylor]: Taking taylor expansion of 1/2 in n
1552126187.577 * [backup-simplify]: Simplify 1/2 into 1/2
1552126187.578 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552126187.578 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552126187.578 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1552126187.579 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
1552126187.579 * [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))))
1552126187.580 * [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)))))
1552126187.581 * [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)))))
1552126187.581 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1552126187.583 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1552126187.583 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (+ (* (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ 0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))))) into (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))))
1552126187.583 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) in n
1552126187.584 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n
1552126187.584 * [taylor]: Taking taylor expansion of +nan.0 in n
1552126187.584 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552126187.584 * [taylor]: Taking taylor expansion of (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
1552126187.584 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
1552126187.584 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1552126187.584 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1552126187.584 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1552126187.584 * [taylor]: Taking taylor expansion of -2 in n
1552126187.584 * [backup-simplify]: Simplify -2 into -2
1552126187.584 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552126187.584 * [taylor]: Taking taylor expansion of PI in n
1552126187.584 * [backup-simplify]: Simplify PI into PI
1552126187.584 * [taylor]: Taking taylor expansion of n in n
1552126187.584 * [backup-simplify]: Simplify 0 into 0
1552126187.584 * [backup-simplify]: Simplify 1 into 1
1552126187.584 * [backup-simplify]: Simplify (/ PI 1) into PI
1552126187.584 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552126187.585 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1552126187.585 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1552126187.585 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552126187.585 * [taylor]: Taking taylor expansion of 1/2 in n
1552126187.585 * [backup-simplify]: Simplify 1/2 into 1/2
1552126187.585 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552126187.585 * [taylor]: Taking taylor expansion of k in n
1552126187.586 * [backup-simplify]: Simplify k into k
1552126187.586 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552126187.586 * [taylor]: Taking taylor expansion of 1/2 in n
1552126187.586 * [backup-simplify]: Simplify 1/2 into 1/2
1552126187.586 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552126187.586 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552126187.587 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1552126187.587 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
1552126187.588 * [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))))
1552126187.589 * [backup-simplify]: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
1552126187.589 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (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)))))
1552126187.590 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))
1552126187.591 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))
1552126187.592 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552126187.592 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1552126187.592 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1552126187.592 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126187.593 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1552126187.593 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1552126187.594 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1552126187.595 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0
1552126187.596 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1552126187.599 * [backup-simplify]: Simplify (- (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (+ (* (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))) into 0
1552126187.599 * [backup-simplify]: Simplify 0 into 0
1552126187.600 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552126187.604 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1552126187.605 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (+ (* (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ 0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) (* (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) (/ 0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))))) into (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))))
1552126187.605 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) in n
1552126187.605 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n
1552126187.605 * [taylor]: Taking taylor expansion of +nan.0 in n
1552126187.605 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552126187.605 * [taylor]: Taking taylor expansion of (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
1552126187.605 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
1552126187.605 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1552126187.605 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1552126187.605 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1552126187.605 * [taylor]: Taking taylor expansion of -2 in n
1552126187.605 * [backup-simplify]: Simplify -2 into -2
1552126187.605 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552126187.605 * [taylor]: Taking taylor expansion of PI in n
1552126187.605 * [backup-simplify]: Simplify PI into PI
1552126187.605 * [taylor]: Taking taylor expansion of n in n
1552126187.605 * [backup-simplify]: Simplify 0 into 0
1552126187.605 * [backup-simplify]: Simplify 1 into 1
1552126187.606 * [backup-simplify]: Simplify (/ PI 1) into PI
1552126187.606 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552126187.607 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1552126187.607 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1552126187.607 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552126187.607 * [taylor]: Taking taylor expansion of 1/2 in n
1552126187.607 * [backup-simplify]: Simplify 1/2 into 1/2
1552126187.607 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552126187.607 * [taylor]: Taking taylor expansion of k in n
1552126187.607 * [backup-simplify]: Simplify k into k
1552126187.608 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552126187.608 * [taylor]: Taking taylor expansion of 1/2 in n
1552126187.608 * [backup-simplify]: Simplify 1/2 into 1/2
1552126187.609 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552126187.609 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552126187.609 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1552126187.610 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
1552126187.611 * [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))))
1552126187.612 * [backup-simplify]: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
1552126187.614 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (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)))))
1552126187.615 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))
1552126187.616 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))
1552126187.620 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))))))
1552126187.620 * * * * [progress]: [ 4 / 4 ] generating series at (2)
1552126187.620 * [backup-simplify]: Simplify (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) into (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))))
1552126187.620 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (k n) around 0
1552126187.620 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
1552126187.620 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
1552126187.620 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552126187.620 * [taylor]: Taking taylor expansion of k in n
1552126187.620 * [backup-simplify]: Simplify k into k
1552126187.620 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552126187.620 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
1552126187.621 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1552126187.621 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
1552126187.621 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1552126187.621 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1552126187.621 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1552126187.621 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1552126187.621 * [taylor]: Taking taylor expansion of 1/2 in n
1552126187.621 * [backup-simplify]: Simplify 1/2 into 1/2
1552126187.621 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
1552126187.621 * [taylor]: Taking taylor expansion of 1/2 in n
1552126187.621 * [backup-simplify]: Simplify 1/2 into 1/2
1552126187.621 * [taylor]: Taking taylor expansion of k in n
1552126187.621 * [backup-simplify]: Simplify k into k
1552126187.621 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1552126187.621 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1552126187.621 * [taylor]: Taking taylor expansion of 2 in n
1552126187.621 * [backup-simplify]: Simplify 2 into 2
1552126187.621 * [taylor]: Taking taylor expansion of (* n PI) in n
1552126187.621 * [taylor]: Taking taylor expansion of n in n
1552126187.621 * [backup-simplify]: Simplify 0 into 0
1552126187.621 * [backup-simplify]: Simplify 1 into 1
1552126187.621 * [taylor]: Taking taylor expansion of PI in n
1552126187.621 * [backup-simplify]: Simplify PI into PI
1552126187.622 * [backup-simplify]: Simplify (* 0 PI) into 0
1552126187.622 * [backup-simplify]: Simplify (* 2 0) into 0
1552126187.624 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552126187.625 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1552126187.626 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552126187.626 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
1552126187.626 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1552126187.626 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1552126187.628 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552126187.629 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
1552126187.630 * [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)))))
1552126187.630 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
1552126187.630 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
1552126187.630 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552126187.630 * [taylor]: Taking taylor expansion of k in k
1552126187.630 * [backup-simplify]: Simplify 0 into 0
1552126187.630 * [backup-simplify]: Simplify 1 into 1
1552126187.630 * [backup-simplify]: Simplify (/ 1 1) into 1
1552126187.631 * [backup-simplify]: Simplify (sqrt 0) into 0
1552126187.632 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1552126187.632 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1552126187.632 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1552126187.632 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1552126187.632 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1552126187.632 * [taylor]: Taking taylor expansion of 1/2 in k
1552126187.632 * [backup-simplify]: Simplify 1/2 into 1/2
1552126187.632 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1552126187.632 * [taylor]: Taking taylor expansion of 1/2 in k
1552126187.632 * [backup-simplify]: Simplify 1/2 into 1/2
1552126187.632 * [taylor]: Taking taylor expansion of k in k
1552126187.632 * [backup-simplify]: Simplify 0 into 0
1552126187.632 * [backup-simplify]: Simplify 1 into 1
1552126187.632 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1552126187.632 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1552126187.632 * [taylor]: Taking taylor expansion of 2 in k
1552126187.632 * [backup-simplify]: Simplify 2 into 2
1552126187.633 * [taylor]: Taking taylor expansion of (* n PI) in k
1552126187.633 * [taylor]: Taking taylor expansion of n in k
1552126187.633 * [backup-simplify]: Simplify n into n
1552126187.633 * [taylor]: Taking taylor expansion of PI in k
1552126187.633 * [backup-simplify]: Simplify PI into PI
1552126187.633 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1552126187.633 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1552126187.633 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1552126187.633 * [backup-simplify]: Simplify (* 1/2 0) into 0
1552126187.634 * [backup-simplify]: Simplify (- 0) into 0
1552126187.634 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1552126187.634 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1552126187.634 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1552126187.634 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
1552126187.634 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
1552126187.634 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552126187.634 * [taylor]: Taking taylor expansion of k in k
1552126187.634 * [backup-simplify]: Simplify 0 into 0
1552126187.634 * [backup-simplify]: Simplify 1 into 1
1552126187.635 * [backup-simplify]: Simplify (/ 1 1) into 1
1552126187.635 * [backup-simplify]: Simplify (sqrt 0) into 0
1552126187.636 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1552126187.636 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1552126187.637 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1552126187.637 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1552126187.637 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1552126187.637 * [taylor]: Taking taylor expansion of 1/2 in k
1552126187.637 * [backup-simplify]: Simplify 1/2 into 1/2
1552126187.637 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1552126187.637 * [taylor]: Taking taylor expansion of 1/2 in k
1552126187.637 * [backup-simplify]: Simplify 1/2 into 1/2
1552126187.637 * [taylor]: Taking taylor expansion of k in k
1552126187.637 * [backup-simplify]: Simplify 0 into 0
1552126187.637 * [backup-simplify]: Simplify 1 into 1
1552126187.637 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1552126187.637 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1552126187.637 * [taylor]: Taking taylor expansion of 2 in k
1552126187.637 * [backup-simplify]: Simplify 2 into 2
1552126187.637 * [taylor]: Taking taylor expansion of (* n PI) in k
1552126187.637 * [taylor]: Taking taylor expansion of n in k
1552126187.637 * [backup-simplify]: Simplify n into n
1552126187.637 * [taylor]: Taking taylor expansion of PI in k
1552126187.637 * [backup-simplify]: Simplify PI into PI
1552126187.637 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1552126187.637 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1552126187.637 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1552126187.638 * [backup-simplify]: Simplify (* 1/2 0) into 0
1552126187.638 * [backup-simplify]: Simplify (- 0) into 0
1552126187.638 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1552126187.639 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1552126187.639 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1552126187.639 * [backup-simplify]: Simplify (* 0 (pow (* 2 (* n PI)) 1/2)) into 0
1552126187.639 * [taylor]: Taking taylor expansion of 0 in n
1552126187.639 * [backup-simplify]: Simplify 0 into 0
1552126187.639 * [backup-simplify]: Simplify 0 into 0
1552126187.639 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0
1552126187.640 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0
1552126187.641 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0
1552126187.641 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1552126187.642 * [backup-simplify]: Simplify (- 1/2) into -1/2
1552126187.642 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1552126187.643 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI)))))
1552126187.643 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1)))) into (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))
1552126187.643 * [backup-simplify]: Simplify (+ (* 0 (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))) (* +nan.0 (pow (* 2 (* n PI)) 1/2))) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))
1552126187.643 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
1552126187.643 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
1552126187.644 * [taylor]: Taking taylor expansion of +nan.0 in n
1552126187.644 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552126187.644 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
1552126187.644 * [taylor]: Taking taylor expansion of (sqrt 2) in n
1552126187.644 * [taylor]: Taking taylor expansion of 2 in n
1552126187.644 * [backup-simplify]: Simplify 2 into 2
1552126187.644 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
1552126187.645 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
1552126187.645 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
1552126187.645 * [taylor]: Taking taylor expansion of (* n PI) in n
1552126187.645 * [taylor]: Taking taylor expansion of n in n
1552126187.645 * [backup-simplify]: Simplify 0 into 0
1552126187.645 * [backup-simplify]: Simplify 1 into 1
1552126187.645 * [taylor]: Taking taylor expansion of PI in n
1552126187.645 * [backup-simplify]: Simplify PI into PI
1552126187.646 * [backup-simplify]: Simplify (* 0 PI) into 0
1552126187.647 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552126187.647 * [backup-simplify]: Simplify (sqrt 0) into 0
1552126187.649 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1552126187.650 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
1552126187.650 * [backup-simplify]: Simplify (* +nan.0 0) into 0
1552126187.650 * [backup-simplify]: Simplify (- 0) into 0
1552126187.650 * [backup-simplify]: Simplify 0 into 0
1552126187.651 * [backup-simplify]: Simplify 0 into 0
1552126187.651 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0
1552126187.652 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0
1552126187.654 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 1)))) 2) into 0
1552126187.655 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1552126187.655 * [backup-simplify]: Simplify (- 0) into 0
1552126187.655 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126187.656 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0
1552126187.657 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2)))
1552126187.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1552126187.662 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1552126187.663 * [backup-simplify]: Simplify (+ (* 0 (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2)))) (+ (* +nan.0 (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))) (* +nan.0 (pow (* 2 (* n PI)) 1/2)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))))
1552126187.663 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) in n
1552126187.663 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))) in n
1552126187.663 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n
1552126187.663 * [taylor]: Taking taylor expansion of +nan.0 in n
1552126187.663 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552126187.663 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n
1552126187.663 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n
1552126187.663 * [taylor]: Taking taylor expansion of (sqrt 2) in n
1552126187.663 * [taylor]: Taking taylor expansion of 2 in n
1552126187.663 * [backup-simplify]: Simplify 2 into 2
1552126187.664 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
1552126187.664 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
1552126187.664 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1552126187.664 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1552126187.664 * [taylor]: Taking taylor expansion of 2 in n
1552126187.664 * [backup-simplify]: Simplify 2 into 2
1552126187.664 * [taylor]: Taking taylor expansion of (* n PI) in n
1552126187.664 * [taylor]: Taking taylor expansion of n in n
1552126187.664 * [backup-simplify]: Simplify 0 into 0
1552126187.664 * [backup-simplify]: Simplify 1 into 1
1552126187.665 * [taylor]: Taking taylor expansion of PI in n
1552126187.665 * [backup-simplify]: Simplify PI into PI
1552126187.665 * [backup-simplify]: Simplify (* 0 PI) into 0
1552126187.665 * [backup-simplify]: Simplify (* 2 0) into 0
1552126187.667 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552126187.668 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1552126187.669 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552126187.669 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
1552126187.670 * [taylor]: Taking taylor expansion of (* n PI) in n
1552126187.670 * [taylor]: Taking taylor expansion of n in n
1552126187.670 * [backup-simplify]: Simplify 0 into 0
1552126187.670 * [backup-simplify]: Simplify 1 into 1
1552126187.670 * [taylor]: Taking taylor expansion of PI in n
1552126187.670 * [backup-simplify]: Simplify PI into PI
1552126187.670 * [backup-simplify]: Simplify (* 0 PI) into 0
1552126187.672 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552126187.675 * [backup-simplify]: Simplify (sqrt 0) into 0
1552126187.677 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1552126187.677 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
1552126187.677 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
1552126187.677 * [taylor]: Taking taylor expansion of +nan.0 in n
1552126187.677 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552126187.677 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
1552126187.677 * [taylor]: Taking taylor expansion of (sqrt 2) in n
1552126187.677 * [taylor]: Taking taylor expansion of 2 in n
1552126187.677 * [backup-simplify]: Simplify 2 into 2
1552126187.677 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
1552126187.678 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
1552126187.678 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
1552126187.678 * [taylor]: Taking taylor expansion of (* n PI) in n
1552126187.678 * [taylor]: Taking taylor expansion of n in n
1552126187.678 * [backup-simplify]: Simplify 0 into 0
1552126187.678 * [backup-simplify]: Simplify 1 into 1
1552126187.678 * [taylor]: Taking taylor expansion of PI in n
1552126187.678 * [backup-simplify]: Simplify PI into PI
1552126187.678 * [backup-simplify]: Simplify (* 0 PI) into 0
1552126187.679 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552126187.679 * [backup-simplify]: Simplify (sqrt 0) into 0
1552126187.680 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1552126187.681 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552126187.682 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI))))
1552126187.683 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0
1552126187.683 * [backup-simplify]: Simplify (* +nan.0 0) into 0
1552126187.684 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
1552126187.684 * [backup-simplify]: Simplify (* +nan.0 0) into 0
1552126187.684 * [backup-simplify]: Simplify (- 0) into 0
1552126187.684 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126187.684 * [backup-simplify]: Simplify (- 0) into 0
1552126187.684 * [backup-simplify]: Simplify 0 into 0
1552126187.686 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
1552126187.689 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
1552126187.691 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI)))
1552126187.693 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI)))
1552126187.693 * [backup-simplify]: Simplify 0 into 0
1552126187.693 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1552126187.694 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0
1552126187.696 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 (* n PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 (* n PI)) 1)))) 6) into 0
1552126187.697 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
1552126187.697 * [backup-simplify]: Simplify (- 0) into 0
1552126187.698 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126187.698 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0
1552126187.699 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3)))
1552126187.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552126187.702 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1552126187.703 * [backup-simplify]: Simplify (+ (* 0 (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3)))) (+ (* +nan.0 (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2)))) (+ (* +nan.0 (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))) (* +nan.0 (pow (* 2 (* n PI)) 1/2))))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))))))
1552126187.703 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))))) in n
1552126187.703 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))))) in n
1552126187.703 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n
1552126187.703 * [taylor]: Taking taylor expansion of +nan.0 in n
1552126187.703 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552126187.703 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n
1552126187.703 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n
1552126187.703 * [taylor]: Taking taylor expansion of (sqrt 2) in n
1552126187.703 * [taylor]: Taking taylor expansion of 2 in n
1552126187.703 * [backup-simplify]: Simplify 2 into 2
1552126187.704 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
1552126187.704 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
1552126187.704 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1552126187.704 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1552126187.704 * [taylor]: Taking taylor expansion of 2 in n
1552126187.704 * [backup-simplify]: Simplify 2 into 2
1552126187.704 * [taylor]: Taking taylor expansion of (* n PI) in n
1552126187.704 * [taylor]: Taking taylor expansion of n in n
1552126187.704 * [backup-simplify]: Simplify 0 into 0
1552126187.704 * [backup-simplify]: Simplify 1 into 1
1552126187.704 * [taylor]: Taking taylor expansion of PI in n
1552126187.704 * [backup-simplify]: Simplify PI into PI
1552126187.704 * [backup-simplify]: Simplify (* 0 PI) into 0
1552126187.705 * [backup-simplify]: Simplify (* 2 0) into 0
1552126187.706 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552126187.707 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1552126187.707 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552126187.707 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
1552126187.707 * [taylor]: Taking taylor expansion of (* n PI) in n
1552126187.707 * [taylor]: Taking taylor expansion of n in n
1552126187.707 * [backup-simplify]: Simplify 0 into 0
1552126187.707 * [backup-simplify]: Simplify 1 into 1
1552126187.707 * [taylor]: Taking taylor expansion of PI in n
1552126187.707 * [backup-simplify]: Simplify PI into PI
1552126187.707 * [backup-simplify]: Simplify (* 0 PI) into 0
1552126187.708 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552126187.709 * [backup-simplify]: Simplify (sqrt 0) into 0
1552126187.710 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1552126187.710 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) in n
1552126187.710 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))) in n
1552126187.710 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n
1552126187.710 * [taylor]: Taking taylor expansion of +nan.0 in n
1552126187.710 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552126187.710 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n
1552126187.710 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n
1552126187.710 * [taylor]: Taking taylor expansion of (sqrt 2) in n
1552126187.710 * [taylor]: Taking taylor expansion of 2 in n
1552126187.710 * [backup-simplify]: Simplify 2 into 2
1552126187.710 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
1552126187.711 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
1552126187.711 * [taylor]: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n
1552126187.711 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1552126187.711 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1552126187.711 * [taylor]: Taking taylor expansion of 2 in n
1552126187.711 * [backup-simplify]: Simplify 2 into 2
1552126187.711 * [taylor]: Taking taylor expansion of (* n PI) in n
1552126187.711 * [taylor]: Taking taylor expansion of n in n
1552126187.711 * [backup-simplify]: Simplify 0 into 0
1552126187.711 * [backup-simplify]: Simplify 1 into 1
1552126187.711 * [taylor]: Taking taylor expansion of PI in n
1552126187.711 * [backup-simplify]: Simplify PI into PI
1552126187.712 * [backup-simplify]: Simplify (* 0 PI) into 0
1552126187.712 * [backup-simplify]: Simplify (* 2 0) into 0
1552126187.714 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552126187.715 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1552126187.716 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552126187.717 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552126187.717 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
1552126187.717 * [taylor]: Taking taylor expansion of (* n PI) in n
1552126187.718 * [taylor]: Taking taylor expansion of n in n
1552126187.718 * [backup-simplify]: Simplify 0 into 0
1552126187.718 * [backup-simplify]: Simplify 1 into 1
1552126187.718 * [taylor]: Taking taylor expansion of PI in n
1552126187.718 * [backup-simplify]: Simplify PI into PI
1552126187.718 * [backup-simplify]: Simplify (* 0 PI) into 0
1552126187.720 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552126187.720 * [backup-simplify]: Simplify (sqrt 0) into 0
1552126187.721 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1552126187.721 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
1552126187.721 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
1552126187.721 * [taylor]: Taking taylor expansion of +nan.0 in n
1552126187.721 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552126187.721 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
1552126187.721 * [taylor]: Taking taylor expansion of (sqrt 2) in n
1552126187.721 * [taylor]: Taking taylor expansion of 2 in n
1552126187.721 * [backup-simplify]: Simplify 2 into 2
1552126187.722 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
1552126187.723 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
1552126187.723 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
1552126187.723 * [taylor]: Taking taylor expansion of (* n PI) in n
1552126187.723 * [taylor]: Taking taylor expansion of n in n
1552126187.723 * [backup-simplify]: Simplify 0 into 0
1552126187.723 * [backup-simplify]: Simplify 1 into 1
1552126187.723 * [taylor]: Taking taylor expansion of PI in n
1552126187.723 * [backup-simplify]: Simplify PI into PI
1552126187.723 * [backup-simplify]: Simplify (* 0 PI) into 0
1552126187.725 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552126187.725 * [backup-simplify]: Simplify (sqrt 0) into 0
1552126187.726 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1552126187.728 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552126187.729 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI))))
1552126187.731 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0
1552126187.731 * [backup-simplify]: Simplify (* +nan.0 0) into 0
1552126187.732 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552126187.734 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552126187.736 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2)
1552126187.737 * [backup-simplify]: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2))
1552126187.738 * [backup-simplify]: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0
1552126187.738 * [backup-simplify]: Simplify (* +nan.0 0) into 0
1552126187.739 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
1552126187.739 * [backup-simplify]: Simplify (* +nan.0 0) into 0
1552126187.739 * [backup-simplify]: Simplify (- 0) into 0
1552126187.740 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126187.740 * [backup-simplify]: Simplify (- 0) into 0
1552126187.740 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126187.740 * [backup-simplify]: Simplify (- 0) into 0
1552126187.740 * [backup-simplify]: Simplify 0 into 0
1552126187.741 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1552126187.742 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1552126187.743 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1552126187.743 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552126187.744 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1552126187.746 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) (* +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))
1552126187.752 * [backup-simplify]: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))
1552126187.755 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
1552126187.761 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
1552126187.765 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI)))
1552126187.773 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) (- (* +nan.0 (* (sqrt 2) PI)))) into (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))))
1552126187.782 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI)))))))
1552126187.792 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI)))))))
1552126187.794 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1552126187.798 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2))
1552126187.799 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
1552126187.804 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
1552126187.813 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
1552126187.817 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
1552126187.821 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
1552126187.832 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) (* n k)) (* (- (* +nan.0 (* (sqrt 2) PI))) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2)))))))))))))
1552126187.833 * [backup-simplify]: Simplify (/ 1 (/ (sqrt (/ 1 k)) (pow (* (* (/ 1 n) 2) PI) (- 1/2 (/ (/ 1 k) 2))))) into (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))
1552126187.833 * [approximate]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (k n) around 0
1552126187.833 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1552126187.833 * [taylor]: Taking taylor expansion of (sqrt k) in n
1552126187.833 * [taylor]: Taking taylor expansion of k in n
1552126187.833 * [backup-simplify]: Simplify k into k
1552126187.833 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
1552126187.833 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
1552126187.833 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1552126187.833 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1552126187.833 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1552126187.833 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1552126187.833 * [taylor]: Taking taylor expansion of 1/2 in n
1552126187.833 * [backup-simplify]: Simplify 1/2 into 1/2
1552126187.833 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552126187.833 * [taylor]: Taking taylor expansion of 1/2 in n
1552126187.833 * [backup-simplify]: Simplify 1/2 into 1/2
1552126187.833 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552126187.833 * [taylor]: Taking taylor expansion of k in n
1552126187.833 * [backup-simplify]: Simplify k into k
1552126187.833 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552126187.833 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1552126187.833 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1552126187.833 * [taylor]: Taking taylor expansion of 2 in n
1552126187.833 * [backup-simplify]: Simplify 2 into 2
1552126187.833 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552126187.833 * [taylor]: Taking taylor expansion of PI in n
1552126187.833 * [backup-simplify]: Simplify PI into PI
1552126187.833 * [taylor]: Taking taylor expansion of n in n
1552126187.833 * [backup-simplify]: Simplify 0 into 0
1552126187.833 * [backup-simplify]: Simplify 1 into 1
1552126187.834 * [backup-simplify]: Simplify (/ PI 1) into PI
1552126187.834 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552126187.835 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552126187.835 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552126187.835 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1552126187.835 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1552126187.836 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552126187.836 * [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)))
1552126187.837 * [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))))
1552126187.837 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
1552126187.837 * [taylor]: Taking taylor expansion of (sqrt k) in k
1552126187.837 * [taylor]: Taking taylor expansion of k in k
1552126187.837 * [backup-simplify]: Simplify 0 into 0
1552126187.837 * [backup-simplify]: Simplify 1 into 1
1552126187.837 * [backup-simplify]: Simplify (sqrt 0) into 0
1552126187.838 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1552126187.838 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
1552126187.838 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1552126187.838 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1552126187.838 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1552126187.838 * [taylor]: Taking taylor expansion of 1/2 in k
1552126187.838 * [backup-simplify]: Simplify 1/2 into 1/2
1552126187.838 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1552126187.838 * [taylor]: Taking taylor expansion of 1/2 in k
1552126187.838 * [backup-simplify]: Simplify 1/2 into 1/2
1552126187.838 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552126187.839 * [taylor]: Taking taylor expansion of k in k
1552126187.839 * [backup-simplify]: Simplify 0 into 0
1552126187.839 * [backup-simplify]: Simplify 1 into 1
1552126187.839 * [backup-simplify]: Simplify (/ 1 1) into 1
1552126187.839 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
1552126187.839 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
1552126187.839 * [taylor]: Taking taylor expansion of 2 in k
1552126187.839 * [backup-simplify]: Simplify 2 into 2
1552126187.839 * [taylor]: Taking taylor expansion of (/ PI n) in k
1552126187.839 * [taylor]: Taking taylor expansion of PI in k
1552126187.839 * [backup-simplify]: Simplify PI into PI
1552126187.839 * [taylor]: Taking taylor expansion of n in k
1552126187.839 * [backup-simplify]: Simplify n into n
1552126187.839 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1552126187.839 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1552126187.839 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1552126187.839 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1552126187.840 * [backup-simplify]: Simplify (- 1/2) into -1/2
1552126187.840 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1552126187.840 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1552126187.840 * [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))))
1552126187.840 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
1552126187.840 * [taylor]: Taking taylor expansion of (sqrt k) in k
1552126187.840 * [taylor]: Taking taylor expansion of k in k
1552126187.840 * [backup-simplify]: Simplify 0 into 0
1552126187.840 * [backup-simplify]: Simplify 1 into 1
1552126187.840 * [backup-simplify]: Simplify (sqrt 0) into 0
1552126187.841 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1552126187.841 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
1552126187.841 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1552126187.841 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1552126187.841 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1552126187.841 * [taylor]: Taking taylor expansion of 1/2 in k
1552126187.841 * [backup-simplify]: Simplify 1/2 into 1/2
1552126187.841 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1552126187.841 * [taylor]: Taking taylor expansion of 1/2 in k
1552126187.841 * [backup-simplify]: Simplify 1/2 into 1/2
1552126187.841 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552126187.841 * [taylor]: Taking taylor expansion of k in k
1552126187.841 * [backup-simplify]: Simplify 0 into 0
1552126187.841 * [backup-simplify]: Simplify 1 into 1
1552126187.842 * [backup-simplify]: Simplify (/ 1 1) into 1
1552126187.842 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
1552126187.842 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
1552126187.842 * [taylor]: Taking taylor expansion of 2 in k
1552126187.842 * [backup-simplify]: Simplify 2 into 2
1552126187.842 * [taylor]: Taking taylor expansion of (/ PI n) in k
1552126187.842 * [taylor]: Taking taylor expansion of PI in k
1552126187.842 * [backup-simplify]: Simplify PI into PI
1552126187.842 * [taylor]: Taking taylor expansion of n in k
1552126187.842 * [backup-simplify]: Simplify n into n
1552126187.842 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1552126187.842 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1552126187.842 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1552126187.842 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1552126187.842 * [backup-simplify]: Simplify (- 1/2) into -1/2
1552126187.843 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1552126187.843 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1552126187.843 * [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))))
1552126187.843 * [backup-simplify]: Simplify (* 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into 0
1552126187.843 * [taylor]: Taking taylor expansion of 0 in n
1552126187.843 * [backup-simplify]: Simplify 0 into 0
1552126187.843 * [backup-simplify]: Simplify 0 into 0
1552126187.844 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) into (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))
1552126187.844 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
1552126187.844 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1552126187.844 * [taylor]: Taking taylor expansion of +nan.0 in n
1552126187.844 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552126187.844 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1552126187.844 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1552126187.844 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1552126187.844 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1552126187.844 * [taylor]: Taking taylor expansion of 1/2 in n
1552126187.844 * [backup-simplify]: Simplify 1/2 into 1/2
1552126187.844 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552126187.844 * [taylor]: Taking taylor expansion of 1/2 in n
1552126187.844 * [backup-simplify]: Simplify 1/2 into 1/2
1552126187.844 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552126187.844 * [taylor]: Taking taylor expansion of k in n
1552126187.844 * [backup-simplify]: Simplify k into k
1552126187.844 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552126187.844 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1552126187.844 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1552126187.844 * [taylor]: Taking taylor expansion of 2 in n
1552126187.844 * [backup-simplify]: Simplify 2 into 2
1552126187.844 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552126187.844 * [taylor]: Taking taylor expansion of PI in n
1552126187.844 * [backup-simplify]: Simplify PI into PI
1552126187.844 * [taylor]: Taking taylor expansion of n in n
1552126187.844 * [backup-simplify]: Simplify 0 into 0
1552126187.844 * [backup-simplify]: Simplify 1 into 1
1552126187.844 * [backup-simplify]: Simplify (/ PI 1) into PI
1552126187.845 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552126187.845 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552126187.845 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552126187.845 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1552126187.845 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1552126187.846 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552126187.847 * [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)))
1552126187.848 * [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))))
1552126187.848 * [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)))))
1552126187.849 * [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))))))
1552126187.850 * [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))))))
1552126187.850 * [backup-simplify]: Simplify 0 into 0
1552126187.852 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1552126187.852 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))
1552126187.853 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
1552126187.853 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1552126187.853 * [taylor]: Taking taylor expansion of +nan.0 in n
1552126187.853 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552126187.853 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1552126187.853 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1552126187.853 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1552126187.853 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1552126187.853 * [taylor]: Taking taylor expansion of 1/2 in n
1552126187.853 * [backup-simplify]: Simplify 1/2 into 1/2
1552126187.853 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552126187.853 * [taylor]: Taking taylor expansion of 1/2 in n
1552126187.853 * [backup-simplify]: Simplify 1/2 into 1/2
1552126187.853 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552126187.853 * [taylor]: Taking taylor expansion of k in n
1552126187.853 * [backup-simplify]: Simplify k into k
1552126187.853 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552126187.853 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1552126187.853 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1552126187.853 * [taylor]: Taking taylor expansion of 2 in n
1552126187.853 * [backup-simplify]: Simplify 2 into 2
1552126187.853 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552126187.853 * [taylor]: Taking taylor expansion of PI in n
1552126187.853 * [backup-simplify]: Simplify PI into PI
1552126187.853 * [taylor]: Taking taylor expansion of n in n
1552126187.853 * [backup-simplify]: Simplify 0 into 0
1552126187.853 * [backup-simplify]: Simplify 1 into 1
1552126187.853 * [backup-simplify]: Simplify (/ PI 1) into PI
1552126187.854 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552126187.854 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552126187.854 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552126187.854 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1552126187.854 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1552126187.855 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552126187.856 * [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)))
1552126187.857 * [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))))
1552126187.858 * [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)))))
1552126187.859 * [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))))))
1552126187.860 * [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))))))
1552126187.861 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1552126187.862 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1552126187.863 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1552126187.864 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1552126187.864 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1552126187.864 * [backup-simplify]: Simplify (- 0) into 0
1552126187.865 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126187.866 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552126187.867 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1552126187.869 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1552126187.871 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0
1552126187.871 * [backup-simplify]: Simplify (- 0) into 0
1552126187.871 * [backup-simplify]: Simplify 0 into 0
1552126187.871 * [backup-simplify]: Simplify 0 into 0
1552126187.875 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1552126187.877 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))
1552126187.877 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
1552126187.877 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1552126187.877 * [taylor]: Taking taylor expansion of +nan.0 in n
1552126187.877 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552126187.877 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1552126187.877 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1552126187.877 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1552126187.877 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1552126187.877 * [taylor]: Taking taylor expansion of 1/2 in n
1552126187.877 * [backup-simplify]: Simplify 1/2 into 1/2
1552126187.877 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552126187.877 * [taylor]: Taking taylor expansion of 1/2 in n
1552126187.877 * [backup-simplify]: Simplify 1/2 into 1/2
1552126187.877 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552126187.877 * [taylor]: Taking taylor expansion of k in n
1552126187.877 * [backup-simplify]: Simplify k into k
1552126187.877 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552126187.877 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1552126187.878 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1552126187.878 * [taylor]: Taking taylor expansion of 2 in n
1552126187.878 * [backup-simplify]: Simplify 2 into 2
1552126187.878 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552126187.878 * [taylor]: Taking taylor expansion of PI in n
1552126187.878 * [backup-simplify]: Simplify PI into PI
1552126187.878 * [taylor]: Taking taylor expansion of n in n
1552126187.878 * [backup-simplify]: Simplify 0 into 0
1552126187.878 * [backup-simplify]: Simplify 1 into 1
1552126187.878 * [backup-simplify]: Simplify (/ PI 1) into PI
1552126187.879 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552126187.880 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552126187.880 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552126187.880 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1552126187.880 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1552126187.881 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552126187.882 * [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)))
1552126187.883 * [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))))
1552126187.885 * [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)))))
1552126187.886 * [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))))))
1552126187.887 * [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))))))
1552126187.891 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (* 1 (/ 1 k))))) 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))))))))
1552126187.891 * [backup-simplify]: Simplify (/ 1 (/ (sqrt (/ 1 (- k))) (pow (* (* (/ 1 (- n)) 2) PI) (- 1/2 (/ (/ 1 (- k)) 2))))) into (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k)))
1552126187.891 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (k n) around 0
1552126187.891 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n
1552126187.891 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1552126187.891 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1552126187.892 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1552126187.892 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1552126187.892 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552126187.892 * [taylor]: Taking taylor expansion of 1/2 in n
1552126187.892 * [backup-simplify]: Simplify 1/2 into 1/2
1552126187.892 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552126187.892 * [taylor]: Taking taylor expansion of k in n
1552126187.892 * [backup-simplify]: Simplify k into k
1552126187.892 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552126187.892 * [taylor]: Taking taylor expansion of 1/2 in n
1552126187.892 * [backup-simplify]: Simplify 1/2 into 1/2
1552126187.892 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1552126187.892 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1552126187.892 * [taylor]: Taking taylor expansion of -2 in n
1552126187.892 * [backup-simplify]: Simplify -2 into -2
1552126187.892 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552126187.892 * [taylor]: Taking taylor expansion of PI in n
1552126187.892 * [backup-simplify]: Simplify PI into PI
1552126187.892 * [taylor]: Taking taylor expansion of n in n
1552126187.892 * [backup-simplify]: Simplify 0 into 0
1552126187.892 * [backup-simplify]: Simplify 1 into 1
1552126187.893 * [backup-simplify]: Simplify (/ PI 1) into PI
1552126187.893 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552126187.894 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1552126187.894 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552126187.894 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1552126187.896 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552126187.897 * [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)))
1552126187.898 * [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))))
1552126187.898 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
1552126187.898 * [taylor]: Taking taylor expansion of (/ -1 k) in n
1552126187.898 * [taylor]: Taking taylor expansion of -1 in n
1552126187.898 * [backup-simplify]: Simplify -1 into -1
1552126187.898 * [taylor]: Taking taylor expansion of k in n
1552126187.898 * [backup-simplify]: Simplify k into k
1552126187.898 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
1552126187.898 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1552126187.898 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1552126187.898 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1552126187.900 * [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)))
1552126187.900 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k
1552126187.900 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1552126187.900 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
1552126187.900 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
1552126187.900 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1552126187.900 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1552126187.900 * [taylor]: Taking taylor expansion of 1/2 in k
1552126187.900 * [backup-simplify]: Simplify 1/2 into 1/2
1552126187.900 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552126187.900 * [taylor]: Taking taylor expansion of k in k
1552126187.900 * [backup-simplify]: Simplify 0 into 0
1552126187.900 * [backup-simplify]: Simplify 1 into 1
1552126187.901 * [backup-simplify]: Simplify (/ 1 1) into 1
1552126187.901 * [taylor]: Taking taylor expansion of 1/2 in k
1552126187.901 * [backup-simplify]: Simplify 1/2 into 1/2
1552126187.901 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
1552126187.901 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
1552126187.901 * [taylor]: Taking taylor expansion of -2 in k
1552126187.901 * [backup-simplify]: Simplify -2 into -2
1552126187.901 * [taylor]: Taking taylor expansion of (/ PI n) in k
1552126187.901 * [taylor]: Taking taylor expansion of PI in k
1552126187.901 * [backup-simplify]: Simplify PI into PI
1552126187.901 * [taylor]: Taking taylor expansion of n in k
1552126187.901 * [backup-simplify]: Simplify n into n
1552126187.901 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1552126187.901 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1552126187.901 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1552126187.902 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1552126187.902 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1552126187.902 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1552126187.903 * [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)))
1552126187.903 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
1552126187.903 * [taylor]: Taking taylor expansion of (/ -1 k) in k
1552126187.903 * [taylor]: Taking taylor expansion of -1 in k
1552126187.903 * [backup-simplify]: Simplify -1 into -1
1552126187.903 * [taylor]: Taking taylor expansion of k in k
1552126187.903 * [backup-simplify]: Simplify 0 into 0
1552126187.903 * [backup-simplify]: Simplify 1 into 1
1552126187.903 * [backup-simplify]: Simplify (/ -1 1) into -1
1552126187.904 * [backup-simplify]: Simplify (sqrt 0) into 0
1552126187.905 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1552126187.905 * [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))))
1552126187.906 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k
1552126187.906 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1552126187.906 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
1552126187.906 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
1552126187.906 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1552126187.906 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1552126187.906 * [taylor]: Taking taylor expansion of 1/2 in k
1552126187.906 * [backup-simplify]: Simplify 1/2 into 1/2
1552126187.906 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552126187.906 * [taylor]: Taking taylor expansion of k in k
1552126187.906 * [backup-simplify]: Simplify 0 into 0
1552126187.906 * [backup-simplify]: Simplify 1 into 1
1552126187.906 * [backup-simplify]: Simplify (/ 1 1) into 1
1552126187.906 * [taylor]: Taking taylor expansion of 1/2 in k
1552126187.906 * [backup-simplify]: Simplify 1/2 into 1/2
1552126187.906 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
1552126187.906 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
1552126187.906 * [taylor]: Taking taylor expansion of -2 in k
1552126187.906 * [backup-simplify]: Simplify -2 into -2
1552126187.906 * [taylor]: Taking taylor expansion of (/ PI n) in k
1552126187.906 * [taylor]: Taking taylor expansion of PI in k
1552126187.906 * [backup-simplify]: Simplify PI into PI
1552126187.906 * [taylor]: Taking taylor expansion of n in k
1552126187.906 * [backup-simplify]: Simplify n into n
1552126187.907 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1552126187.907 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1552126187.907 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1552126187.907 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1552126187.908 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1552126187.908 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1552126187.908 * [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)))
1552126187.908 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
1552126187.908 * [taylor]: Taking taylor expansion of (/ -1 k) in k
1552126187.908 * [taylor]: Taking taylor expansion of -1 in k
1552126187.908 * [backup-simplify]: Simplify -1 into -1
1552126187.908 * [taylor]: Taking taylor expansion of k in k
1552126187.908 * [backup-simplify]: Simplify 0 into 0
1552126187.908 * [backup-simplify]: Simplify 1 into 1
1552126187.909 * [backup-simplify]: Simplify (/ -1 1) into -1
1552126187.909 * [backup-simplify]: Simplify (sqrt 0) into 0
1552126187.910 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1552126187.910 * [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))))
1552126187.911 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
1552126187.911 * [taylor]: Taking taylor expansion of +nan.0 in n
1552126187.911 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552126187.911 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
1552126187.911 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1552126187.911 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1552126187.911 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1552126187.911 * [taylor]: Taking taylor expansion of -2 in n
1552126187.911 * [backup-simplify]: Simplify -2 into -2
1552126187.911 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552126187.911 * [taylor]: Taking taylor expansion of PI in n
1552126187.911 * [backup-simplify]: Simplify PI into PI
1552126187.911 * [taylor]: Taking taylor expansion of n in n
1552126187.911 * [backup-simplify]: Simplify 0 into 0
1552126187.911 * [backup-simplify]: Simplify 1 into 1
1552126187.911 * [backup-simplify]: Simplify (/ PI 1) into PI
1552126187.912 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552126187.913 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1552126187.913 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1552126187.913 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552126187.913 * [taylor]: Taking taylor expansion of 1/2 in n
1552126187.913 * [backup-simplify]: Simplify 1/2 into 1/2
1552126187.913 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552126187.913 * [taylor]: Taking taylor expansion of k in n
1552126187.913 * [backup-simplify]: Simplify k into k
1552126187.913 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552126187.913 * [taylor]: Taking taylor expansion of 1/2 in n
1552126187.913 * [backup-simplify]: Simplify 1/2 into 1/2
1552126187.915 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552126187.915 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552126187.915 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1552126187.916 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
1552126187.920 * [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))))
1552126187.921 * [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)))))
1552126187.922 * [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)))))
1552126187.923 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1552126187.926 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1552126187.927 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))
1552126187.927 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n
1552126187.927 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
1552126187.927 * [taylor]: Taking taylor expansion of +nan.0 in n
1552126187.927 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552126187.927 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
1552126187.927 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1552126187.927 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1552126187.927 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1552126187.927 * [taylor]: Taking taylor expansion of -2 in n
1552126187.927 * [backup-simplify]: Simplify -2 into -2
1552126187.927 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552126187.927 * [taylor]: Taking taylor expansion of PI in n
1552126187.927 * [backup-simplify]: Simplify PI into PI
1552126187.927 * [taylor]: Taking taylor expansion of n in n
1552126187.927 * [backup-simplify]: Simplify 0 into 0
1552126187.927 * [backup-simplify]: Simplify 1 into 1
1552126187.928 * [backup-simplify]: Simplify (/ PI 1) into PI
1552126187.928 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552126187.929 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1552126187.929 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1552126187.929 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552126187.929 * [taylor]: Taking taylor expansion of 1/2 in n
1552126187.929 * [backup-simplify]: Simplify 1/2 into 1/2
1552126187.929 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552126187.930 * [taylor]: Taking taylor expansion of k in n
1552126187.930 * [backup-simplify]: Simplify k into k
1552126187.930 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552126187.930 * [taylor]: Taking taylor expansion of 1/2 in n
1552126187.930 * [backup-simplify]: Simplify 1/2 into 1/2
1552126187.931 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552126187.931 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552126187.931 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1552126187.933 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
1552126187.934 * [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))))
1552126187.935 * [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)))))
1552126187.936 * [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))))))
1552126187.938 * [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))))))
1552126187.939 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552126187.939 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1552126187.940 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1552126187.940 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126187.941 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1552126187.942 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1552126187.944 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1552126187.945 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0
1552126187.947 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1552126187.948 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into 0
1552126187.948 * [backup-simplify]: Simplify 0 into 0
1552126187.950 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552126187.954 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1552126187.956 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))
1552126187.956 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n
1552126187.956 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
1552126187.956 * [taylor]: Taking taylor expansion of +nan.0 in n
1552126187.956 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552126187.956 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
1552126187.956 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1552126187.956 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1552126187.956 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1552126187.956 * [taylor]: Taking taylor expansion of -2 in n
1552126187.956 * [backup-simplify]: Simplify -2 into -2
1552126187.956 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552126187.956 * [taylor]: Taking taylor expansion of PI in n
1552126187.956 * [backup-simplify]: Simplify PI into PI
1552126187.956 * [taylor]: Taking taylor expansion of n in n
1552126187.956 * [backup-simplify]: Simplify 0 into 0
1552126187.956 * [backup-simplify]: Simplify 1 into 1
1552126187.957 * [backup-simplify]: Simplify (/ PI 1) into PI
1552126187.957 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552126187.958 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1552126187.958 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1552126187.958 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552126187.958 * [taylor]: Taking taylor expansion of 1/2 in n
1552126187.958 * [backup-simplify]: Simplify 1/2 into 1/2
1552126187.958 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552126187.958 * [taylor]: Taking taylor expansion of k in n
1552126187.958 * [backup-simplify]: Simplify k into k
1552126187.958 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552126187.958 * [taylor]: Taking taylor expansion of 1/2 in n
1552126187.958 * [backup-simplify]: Simplify 1/2 into 1/2
1552126187.960 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552126187.960 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552126187.960 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1552126187.961 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
1552126187.962 * [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))))
1552126187.963 * [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)))))
1552126187.964 * [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))))))
1552126187.966 * [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))))))
1552126187.970 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (* 1 (/ 1 (- k)))) (* +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)))))))))))
1552126187.970 * * * [progress]: simplifying candidates
1552126187.970 * * * * [progress]: [ 1 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (log1p (expm1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1552126187.970 * * * * [progress]: [ 2 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (expm1 (log1p (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1552126187.971 * * * * [progress]: [ 3 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))))>
1552126187.971 * [simplify]: Simplifying (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))
1552126187.971 * * [simplify]: iters left: 6 (11 enodes)
1552126187.977 * * [simplify]: iters left: 5 (43 enodes)
1552126187.991 * * [simplify]: iters left: 4 (79 enodes)
1552126188.020 * * [simplify]: iters left: 3 (178 enodes)
1552126188.116 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126188.116 * * [simplify]: Extracting #1: cost 49 inf + 0
1552126188.117 * * [simplify]: Extracting #2: cost 115 inf + 1
1552126188.118 * * [simplify]: Extracting #3: cost 122 inf + 547
1552126188.120 * * [simplify]: Extracting #4: cost 98 inf + 3382
1552126188.126 * * [simplify]: Extracting #5: cost 29 inf + 17882
1552126188.138 * * [simplify]: Extracting #6: cost 1 inf + 26098
1552126188.150 * * [simplify]: Extracting #7: cost 0 inf + 26523
1552126188.162 * [simplify]: Simplified to (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))
1552126188.163 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))))))
1552126188.163 * * * * [progress]: [ 4 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))))>
1552126188.163 * * * * [progress]: [ 5 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (* 1 (- 1/2 (/ k 2)))))))>
1552126188.163 * [simplify]: Simplifying (* (* n 2) PI)
1552126188.163 * * [simplify]: iters left: 4 (5 enodes)
1552126188.166 * * [simplify]: iters left: 3 (19 enodes)
1552126188.173 * * [simplify]: iters left: 2 (27 enodes)
1552126188.177 * * [simplify]: iters left: 1 (32 enodes)
1552126188.181 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126188.181 * * [simplify]: Extracting #1: cost 8 inf + 0
1552126188.181 * * [simplify]: Extracting #2: cost 7 inf + 45
1552126188.181 * * [simplify]: Extracting #3: cost 0 inf + 421
1552126188.181 * [simplify]: Simplified to (* (* n 2) PI)
1552126188.181 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (* 1 (- 1/2 (/ k 2)))))))
1552126188.181 * * * * [progress]: [ 6 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (/ (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (/ k 2))))))>
1552126188.182 * [simplify]: Simplifying (pow (* (* n 2) PI) (/ k 2))
1552126188.182 * * [simplify]: iters left: 5 (8 enodes)
1552126188.184 * * [simplify]: iters left: 4 (28 enodes)
1552126188.190 * * [simplify]: iters left: 3 (36 enodes)
1552126188.196 * * [simplify]: iters left: 2 (41 enodes)
1552126188.201 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126188.201 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126188.201 * * [simplify]: Extracting #2: cost 13 inf + 0
1552126188.201 * * [simplify]: Extracting #3: cost 12 inf + 4
1552126188.201 * * [simplify]: Extracting #4: cost 3 inf + 756
1552126188.202 * * [simplify]: Extracting #5: cost 0 inf + 1174
1552126188.202 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2))
1552126188.202 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (/ (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (/ k 2))))))
1552126188.202 * * * * [progress]: [ 7 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* n 2) PI) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))))))>
1552126188.203 * [simplify]: Simplifying (cbrt (- 1/2 (/ k 2)))
1552126188.203 * * [simplify]: iters left: 5 (6 enodes)
1552126188.206 * * [simplify]: iters left: 4 (20 enodes)
1552126188.213 * * [simplify]: iters left: 3 (25 enodes)
1552126188.217 * * [simplify]: iters left: 2 (27 enodes)
1552126188.221 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126188.221 * * [simplify]: Extracting #1: cost 3 inf + 0
1552126188.221 * * [simplify]: Extracting #2: cost 7 inf + 0
1552126188.221 * * [simplify]: Extracting #3: cost 11 inf + 1
1552126188.221 * * [simplify]: Extracting #4: cost 9 inf + 44
1552126188.222 * * [simplify]: Extracting #5: cost 5 inf + 291
1552126188.222 * * [simplify]: Extracting #6: cost 1 inf + 662
1552126188.222 * * [simplify]: Extracting #7: cost 0 inf + 825
1552126188.222 * [simplify]: Simplified to (cbrt (- 1/2 (/ k 2)))
1552126188.222 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* n 2) PI) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))))))
1552126188.222 * * * * [progress]: [ 8 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* n 2) PI) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))))))>
1552126188.222 * [simplify]: Simplifying (sqrt (- 1/2 (/ k 2)))
1552126188.222 * * [simplify]: iters left: 5 (6 enodes)
1552126188.224 * * [simplify]: iters left: 4 (20 enodes)
1552126188.228 * * [simplify]: iters left: 3 (25 enodes)
1552126188.231 * * [simplify]: iters left: 2 (27 enodes)
1552126188.235 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126188.236 * * [simplify]: Extracting #1: cost 3 inf + 0
1552126188.236 * * [simplify]: Extracting #2: cost 7 inf + 0
1552126188.236 * * [simplify]: Extracting #3: cost 11 inf + 1
1552126188.236 * * [simplify]: Extracting #4: cost 9 inf + 44
1552126188.236 * * [simplify]: Extracting #5: cost 5 inf + 291
1552126188.236 * * [simplify]: Extracting #6: cost 1 inf + 622
1552126188.236 * * [simplify]: Extracting #7: cost 0 inf + 745
1552126188.236 * [simplify]: Simplified to (sqrt (- 1/2 (/ k 2)))
1552126188.236 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* n 2) PI) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))))))
1552126188.237 * * * * [progress]: [ 9 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))))))>
1552126188.237 * [simplify]: Simplifying (- 1/2 (/ k 2))
1552126188.237 * * [simplify]: iters left: 4 (5 enodes)
1552126188.238 * * [simplify]: iters left: 3 (17 enodes)
1552126188.242 * * [simplify]: iters left: 2 (22 enodes)
1552126188.249 * * [simplify]: iters left: 1 (24 enodes)
1552126188.256 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126188.256 * * [simplify]: Extracting #1: cost 5 inf + 0
1552126188.256 * * [simplify]: Extracting #2: cost 9 inf + 1
1552126188.256 * * [simplify]: Extracting #3: cost 1 inf + 458
1552126188.257 * * [simplify]: Extracting #4: cost 0 inf + 499
1552126188.257 * [simplify]: Simplified to (- 1/2 (/ k 2))
1552126188.257 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))))))
1552126188.257 * * * * [progress]: [ 10 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (- (/ k 2)))))))>
1552126188.257 * [simplify]: Simplifying (pow (* (* n 2) PI) (- (/ k 2)))
1552126188.257 * * [simplify]: iters left: 5 (9 enodes)
1552126188.262 * * [simplify]: iters left: 4 (33 enodes)
1552126188.269 * * [simplify]: iters left: 3 (43 enodes)
1552126188.275 * * [simplify]: iters left: 2 (48 enodes)
1552126188.282 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126188.282 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126188.282 * * [simplify]: Extracting #2: cost 14 inf + 0
1552126188.282 * * [simplify]: Extracting #3: cost 16 inf + 45
1552126188.282 * * [simplify]: Extracting #4: cost 10 inf + 297
1552126188.282 * * [simplify]: Extracting #5: cost 4 inf + 629
1552126188.282 * * [simplify]: Extracting #6: cost 0 inf + 1500
1552126188.283 * [simplify]: Simplified to (pow (* (* PI 2) n) (- (/ k 2)))
1552126188.283 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* (* n 2) PI) 1/2) (pow (* (* PI 2) n) (- (/ k 2)))))))
1552126188.283 * * * * [progress]: [ 11 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (- (/ k 2)))))))>
1552126188.283 * [simplify]: Simplifying (pow (* (* n 2) PI) (- (/ k 2)))
1552126188.283 * * [simplify]: iters left: 5 (9 enodes)
1552126188.285 * * [simplify]: iters left: 4 (33 enodes)
1552126188.292 * * [simplify]: iters left: 3 (43 enodes)
1552126188.302 * * [simplify]: iters left: 2 (48 enodes)
1552126188.314 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126188.314 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126188.314 * * [simplify]: Extracting #2: cost 14 inf + 0
1552126188.314 * * [simplify]: Extracting #3: cost 16 inf + 45
1552126188.315 * * [simplify]: Extracting #4: cost 10 inf + 297
1552126188.315 * * [simplify]: Extracting #5: cost 4 inf + 629
1552126188.315 * * [simplify]: Extracting #6: cost 0 inf + 1500
1552126188.316 * [simplify]: Simplified to (pow (* (* PI 2) n) (- (/ k 2)))
1552126188.316 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* (* n 2) PI) 1/2) (pow (* (* PI 2) n) (- (/ k 2)))))))
1552126188.316 * * * * [progress]: [ 12 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))))>
1552126188.317 * [simplify]: Simplifying (pow (* n 2) (- 1/2 (/ k 2)))
1552126188.317 * * [simplify]: iters left: 5 (8 enodes)
1552126188.321 * * [simplify]: iters left: 4 (27 enodes)
1552126188.330 * * [simplify]: iters left: 3 (32 enodes)
1552126188.339 * * [simplify]: iters left: 2 (34 enodes)
1552126188.349 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126188.349 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126188.349 * * [simplify]: Extracting #2: cost 11 inf + 0
1552126188.349 * * [simplify]: Extracting #3: cost 12 inf + 3
1552126188.349 * * [simplify]: Extracting #4: cost 8 inf + 171
1552126188.350 * * [simplify]: Extracting #5: cost 1 inf + 918
1552126188.350 * * [simplify]: Extracting #6: cost 0 inf + 1252
1552126188.350 * [simplify]: Simplified to (pow (* n 2) (- 1/2 (/ k 2)))
1552126188.351 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))))
1552126188.351 * * * * [progress]: [ 13 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* n 2) PI) (- 1/2 (/ k 2))) 1))))>
1552126188.351 * * * * [progress]: [ 14 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (log (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1552126188.351 * * * * [progress]: [ 15 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (log (exp (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1552126188.351 * * * * [progress]: [ 16 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (* (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))))))))>
1552126188.351 * * * * [progress]: [ 17 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (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))))))))>
1552126188.351 * * * * [progress]: [ 18 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1552126188.351 * * * * [progress]: [ 19 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1552126188.351 * * * * [progress]: [ 20 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (posit16->real (real->posit16 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1552126188.351 * * * * [progress]: [ 21 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (log1p (expm1 (* (* n 2) PI))) (- 1/2 (/ k 2))))))>
1552126188.351 * * * * [progress]: [ 22 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (expm1 (log1p (* (* n 2) PI))) (- 1/2 (/ k 2))))))>
1552126188.351 * * * * [progress]: [ 23 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))))))>
1552126188.351 * * * * [progress]: [ 24 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (exp (log (* (* n 2) PI))) (- 1/2 (/ k 2))))))>
1552126188.352 * * * * [progress]: [ 25 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (log (exp (* (* n 2) PI))) (- 1/2 (/ k 2))))))>
1552126188.352 * * * * [progress]: [ 26 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* (cbrt (* (* n 2) PI)) (cbrt (* (* n 2) PI))) (cbrt (* (* n 2) PI))) (- 1/2 (/ k 2))))))>
1552126188.352 * * * * [progress]: [ 27 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (cbrt (* (* (* (* n 2) PI) (* (* n 2) PI)) (* (* n 2) PI))) (- 1/2 (/ k 2))))))>
1552126188.352 * * * * [progress]: [ 28 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (sqrt (* (* n 2) PI)) (sqrt (* (* n 2) PI))) (- 1/2 (/ k 2))))))>
1552126188.352 * * * * [progress]: [ 29 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* 1 (* (* n 2) PI)) (- 1/2 (/ k 2))))))>
1552126188.352 * * * * [progress]: [ 30 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
1552126188.352 * * * * [progress]: [ 31 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (posit16->real (real->posit16 (* (* n 2) PI))) (- 1/2 (/ k 2))))))>
1552126188.352 * * * * [progress]: [ 32 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))>
1552126188.352 * * * * [progress]: [ 33 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (log1p (expm1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1552126188.352 * * * * [progress]: [ 34 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (expm1 (log1p (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1552126188.352 * * * * [progress]: [ 35 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (pow (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)))>
1552126188.352 * * * * [progress]: [ 36 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))))>
1552126188.353 * [simplify]: Simplifying (- (log (sqrt k)) (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))))
1552126188.353 * * [simplify]: iters left: 6 (14 enodes)
1552126188.360 * * [simplify]: iters left: 5 (54 enodes)
1552126188.378 * * [simplify]: iters left: 4 (99 enodes)
1552126188.415 * * [simplify]: iters left: 3 (259 enodes)
1552126188.526 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126188.527 * * [simplify]: Extracting #1: cost 26 inf + 0
1552126188.527 * * [simplify]: Extracting #2: cost 163 inf + 0
1552126188.530 * * [simplify]: Extracting #3: cost 211 inf + 74
1552126188.532 * * [simplify]: Extracting #4: cost 158 inf + 7862
1552126188.538 * * [simplify]: Extracting #5: cost 36 inf + 34909
1552126188.548 * * [simplify]: Extracting #6: cost 1 inf + 45836
1552126188.566 * * [simplify]: Extracting #7: cost 0 inf + 46030
1552126188.582 * [simplify]: Simplified to (fma (log (* (* n 2) PI)) (+ -1/2 (/ k 2)) (log (sqrt k)))
1552126188.582 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (fma (log (* (* n 2) PI)) (+ -1/2 (/ k 2)) (log (sqrt k))))))
1552126188.582 * * * * [progress]: [ 37 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))))>
1552126188.582 * [simplify]: Simplifying (- (log (sqrt k)) (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))))
1552126188.582 * * [simplify]: iters left: 6 (14 enodes)
1552126188.586 * * [simplify]: iters left: 5 (54 enodes)
1552126188.595 * * [simplify]: iters left: 4 (99 enodes)
1552126188.616 * * [simplify]: iters left: 3 (259 enodes)
1552126188.729 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126188.729 * * [simplify]: Extracting #1: cost 26 inf + 0
1552126188.730 * * [simplify]: Extracting #2: cost 163 inf + 0
1552126188.731 * * [simplify]: Extracting #3: cost 211 inf + 74
1552126188.735 * * [simplify]: Extracting #4: cost 158 inf + 7862
1552126188.745 * * [simplify]: Extracting #5: cost 36 inf + 34909
1552126188.755 * * [simplify]: Extracting #6: cost 1 inf + 45836
1552126188.765 * * [simplify]: Extracting #7: cost 0 inf + 46030
1552126188.777 * [simplify]: Simplified to (fma (log (* (* n 2) PI)) (+ -1/2 (/ k 2)) (log (sqrt k)))
1552126188.777 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (fma (log (* (* n 2) PI)) (+ -1/2 (/ k 2)) (log (sqrt k))))))
1552126188.777 * * * * [progress]: [ 38 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (- (log (sqrt k)) (log (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1552126188.777 * [simplify]: Simplifying (- (log (sqrt k)) (log (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1552126188.777 * * [simplify]: iters left: 6 (14 enodes)
1552126188.784 * * [simplify]: iters left: 5 (52 enodes)
1552126188.801 * * [simplify]: iters left: 4 (82 enodes)
1552126188.822 * * [simplify]: iters left: 3 (165 enodes)
1552126188.878 * * [simplify]: iters left: 2 (417 enodes)
1552126189.107 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126189.107 * * [simplify]: Extracting #1: cost 54 inf + 0
1552126189.107 * * [simplify]: Extracting #2: cost 227 inf + 0
1552126189.109 * * [simplify]: Extracting #3: cost 261 inf + 965
1552126189.113 * * [simplify]: Extracting #4: cost 155 inf + 21846
1552126189.128 * * [simplify]: Extracting #5: cost 31 inf + 56378
1552126189.143 * * [simplify]: Extracting #6: cost 0 inf + 66300
1552126189.165 * [simplify]: Simplified to (fma (log (* (* n 2) PI)) (+ -1/2 (/ k 2)) (log (sqrt k)))
1552126189.165 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (fma (log (* (* n 2) PI)) (+ -1/2 (/ k 2)) (log (sqrt k))))))
1552126189.165 * * * * [progress]: [ 39 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (log (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1552126189.166 * * * * [progress]: [ 40 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (log (exp (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1552126189.166 * * * * [progress]: [ 41 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (cbrt (/ (* (* (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))))))))>
1552126189.166 * [simplify]: Simplifying (/ (* (* (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)))))
1552126189.166 * * [simplify]: iters left: 6 (16 enodes)
1552126189.170 * * [simplify]: iters left: 5 (61 enodes)
1552126189.180 * * [simplify]: iters left: 4 (115 enodes)
1552126189.202 * * [simplify]: iters left: 3 (192 enodes)
1552126189.231 * * [simplify]: iters left: 2 (231 enodes)
1552126189.297 * * [simplify]: iters left: 1 (252 enodes)
1552126189.369 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126189.369 * * [simplify]: Extracting #1: cost 24 inf + 0
1552126189.370 * * [simplify]: Extracting #2: cost 46 inf + 42
1552126189.370 * * [simplify]: Extracting #3: cost 53 inf + 246
1552126189.371 * * [simplify]: Extracting #4: cost 52 inf + 458
1552126189.373 * * [simplify]: Extracting #5: cost 24 inf + 9511
1552126189.381 * * [simplify]: Extracting #6: cost 3 inf + 18519
1552126189.389 * * [simplify]: Extracting #7: cost 0 inf + 19924
1552126189.398 * [simplify]: Simplified to (/ (* k (sqrt k)) (* (* (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))
1552126189.398 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (cbrt (/ (* k (sqrt k)) (* (* (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))))
1552126189.398 * * * * [progress]: [ 42 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (* (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1552126189.398 * * * * [progress]: [ 43 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (cbrt (* (* (/ (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))))))))>
1552126189.398 * * * * [progress]: [ 44 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1552126189.398 * * * * [progress]: [ 45 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (- (sqrt k)) (- (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1552126189.398 * * * * [progress]: [ 46 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* n 2) PI) 1/2)) (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2)))))))>
1552126189.398 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* n 2) PI) 1/2))
1552126189.398 * * [simplify]: iters left: 6 (12 enodes)
1552126189.402 * * [simplify]: iters left: 5 (43 enodes)
1552126189.408 * * [simplify]: iters left: 4 (55 enodes)
1552126189.418 * * [simplify]: iters left: 3 (63 enodes)
1552126189.426 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126189.426 * * [simplify]: Extracting #1: cost 7 inf + 0
1552126189.426 * * [simplify]: Extracting #2: cost 15 inf + 0
1552126189.426 * * [simplify]: Extracting #3: cost 23 inf + 1
1552126189.426 * * [simplify]: Extracting #4: cost 19 inf + 130
1552126189.426 * * [simplify]: Extracting #5: cost 9 inf + 986
1552126189.427 * * [simplify]: Extracting #6: cost 3 inf + 2207
1552126189.427 * * [simplify]: Extracting #7: cost 0 inf + 3099
1552126189.428 * [simplify]: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n (* PI 2))))
1552126189.428 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n (* PI 2)))) (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2)))))))
1552126189.428 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2))))
1552126189.428 * * [simplify]: iters left: 6 (12 enodes)
1552126189.432 * * [simplify]: iters left: 5 (42 enodes)
1552126189.444 * * [simplify]: iters left: 4 (52 enodes)
1552126189.459 * * [simplify]: iters left: 3 (57 enodes)
1552126189.474 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126189.474 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126189.474 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126189.474 * * [simplify]: Extracting #3: cost 21 inf + 0
1552126189.474 * * [simplify]: Extracting #4: cost 17 inf + 296
1552126189.475 * * [simplify]: Extracting #5: cost 8 inf + 751
1552126189.475 * * [simplify]: Extracting #6: cost 1 inf + 2358
1552126189.476 * * [simplify]: Extracting #7: cost 0 inf + 2892
1552126189.477 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))
1552126189.477 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n (* PI 2)))) (/ (cbrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2))))))
1552126189.477 * * * * [progress]: [ 47 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* n 2) PI) 1/2)) (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2)))))))>
1552126189.478 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* n 2) PI) 1/2))
1552126189.478 * * [simplify]: iters left: 6 (12 enodes)
1552126189.484 * * [simplify]: iters left: 5 (43 enodes)
1552126189.498 * * [simplify]: iters left: 4 (55 enodes)
1552126189.513 * * [simplify]: iters left: 3 (63 enodes)
1552126189.528 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126189.528 * * [simplify]: Extracting #1: cost 7 inf + 0
1552126189.528 * * [simplify]: Extracting #2: cost 15 inf + 0
1552126189.528 * * [simplify]: Extracting #3: cost 23 inf + 1
1552126189.529 * * [simplify]: Extracting #4: cost 19 inf + 130
1552126189.529 * * [simplify]: Extracting #5: cost 9 inf + 986
1552126189.529 * * [simplify]: Extracting #6: cost 3 inf + 2207
1552126189.530 * * [simplify]: Extracting #7: cost 0 inf + 3099
1552126189.530 * [simplify]: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n (* PI 2))))
1552126189.530 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n (* PI 2)))) (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2)))))))
1552126189.530 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2))))
1552126189.530 * * [simplify]: iters left: 6 (12 enodes)
1552126189.533 * * [simplify]: iters left: 5 (42 enodes)
1552126189.541 * * [simplify]: iters left: 4 (52 enodes)
1552126189.548 * * [simplify]: iters left: 3 (57 enodes)
1552126189.558 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126189.558 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126189.558 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126189.558 * * [simplify]: Extracting #3: cost 21 inf + 0
1552126189.558 * * [simplify]: Extracting #4: cost 17 inf + 296
1552126189.559 * * [simplify]: Extracting #5: cost 8 inf + 751
1552126189.559 * * [simplify]: Extracting #6: cost 1 inf + 2358
1552126189.560 * * [simplify]: Extracting #7: cost 0 inf + 2892
1552126189.561 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))
1552126189.561 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n (* PI 2)))) (/ (cbrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2))))))
1552126189.561 * * * * [progress]: [ 48 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
1552126189.561 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) (- 1/2 (/ k 2))))
1552126189.562 * * [simplify]: iters left: 6 (12 enodes)
1552126189.568 * * [simplify]: iters left: 5 (41 enodes)
1552126189.580 * * [simplify]: iters left: 4 (50 enodes)
1552126189.590 * * [simplify]: iters left: 3 (55 enodes)
1552126189.598 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126189.598 * * [simplify]: Extracting #1: cost 7 inf + 0
1552126189.598 * * [simplify]: Extracting #2: cost 15 inf + 0
1552126189.598 * * [simplify]: Extracting #3: cost 24 inf + 0
1552126189.598 * * [simplify]: Extracting #4: cost 22 inf + 45
1552126189.599 * * [simplify]: Extracting #5: cost 12 inf + 983
1552126189.599 * * [simplify]: Extracting #6: cost 2 inf + 3914
1552126189.600 * * [simplify]: Extracting #7: cost 0 inf + 4942
1552126189.600 * [simplify]: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) (- 1/2 (/ k 2))))
1552126189.600 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))
1552126189.600 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))
1552126189.600 * * [simplify]: iters left: 6 (10 enodes)
1552126189.603 * * [simplify]: iters left: 5 (32 enodes)
1552126189.608 * * [simplify]: iters left: 4 (37 enodes)
1552126189.613 * * [simplify]: iters left: 3 (39 enodes)
1552126189.625 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126189.625 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126189.625 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126189.625 * * [simplify]: Extracting #3: cost 14 inf + 1
1552126189.625 * * [simplify]: Extracting #4: cost 16 inf + 3
1552126189.626 * * [simplify]: Extracting #5: cost 14 inf + 86
1552126189.626 * * [simplify]: Extracting #6: cost 5 inf + 742
1552126189.626 * * [simplify]: Extracting #7: cost 0 inf + 2320
1552126189.627 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))
1552126189.627 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))
1552126189.627 * * * * [progress]: [ 49 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1552126189.628 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1552126189.628 * * [simplify]: iters left: 6 (16 enodes)
1552126189.636 * * [simplify]: iters left: 5 (60 enodes)
1552126189.656 * * [simplify]: iters left: 4 (88 enodes)
1552126189.682 * * [simplify]: iters left: 3 (102 enodes)
1552126189.708 * * [simplify]: iters left: 2 (105 enodes)
1552126189.735 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126189.735 * * [simplify]: Extracting #1: cost 11 inf + 0
1552126189.735 * * [simplify]: Extracting #2: cost 22 inf + 0
1552126189.735 * * [simplify]: Extracting #3: cost 27 inf + 0
1552126189.735 * * [simplify]: Extracting #4: cost 36 inf + 42
1552126189.735 * * [simplify]: Extracting #5: cost 32 inf + 693
1552126189.735 * * [simplify]: Extracting #6: cost 23 inf + 1234
1552126189.736 * * [simplify]: Extracting #7: cost 17 inf + 1940
1552126189.737 * * [simplify]: Extracting #8: cost 3 inf + 10070
1552126189.739 * * [simplify]: Extracting #9: cost 0 inf + 11915
1552126189.740 * [simplify]: Simplified to (* (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))
1552126189.740 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))
1552126189.741 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1552126189.741 * * [simplify]: iters left: 6 (14 enodes)
1552126189.744 * * [simplify]: iters left: 5 (48 enodes)
1552126189.752 * * [simplify]: iters left: 4 (61 enodes)
1552126189.761 * * [simplify]: iters left: 3 (68 enodes)
1552126189.770 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126189.770 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126189.770 * * [simplify]: Extracting #2: cost 8 inf + 0
1552126189.770 * * [simplify]: Extracting #3: cost 13 inf + 0
1552126189.770 * * [simplify]: Extracting #4: cost 23 inf + 1
1552126189.771 * * [simplify]: Extracting #5: cost 21 inf + 172
1552126189.773 * * [simplify]: Extracting #6: cost 4 inf + 3019
1552126189.774 * * [simplify]: Extracting #7: cost 0 inf + 4133
1552126189.775 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
1552126189.775 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))))
1552126189.775 * * * * [progress]: [ 50 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (* (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))))))))>
1552126189.776 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1552126189.776 * * [simplify]: iters left: 6 (15 enodes)
1552126189.783 * * [simplify]: iters left: 5 (53 enodes)
1552126189.800 * * [simplify]: iters left: 4 (70 enodes)
1552126189.821 * * [simplify]: iters left: 3 (80 enodes)
1552126189.842 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126189.842 * * [simplify]: Extracting #1: cost 7 inf + 0
1552126189.842 * * [simplify]: Extracting #2: cost 14 inf + 0
1552126189.842 * * [simplify]: Extracting #3: cost 19 inf + 0
1552126189.843 * * [simplify]: Extracting #4: cost 29 inf + 1
1552126189.843 * * [simplify]: Extracting #5: cost 28 inf + 129
1552126189.843 * * [simplify]: Extracting #6: cost 11 inf + 2482
1552126189.845 * * [simplify]: Extracting #7: cost 1 inf + 6100
1552126189.846 * * [simplify]: Extracting #8: cost 0 inf + 6675
1552126189.848 * [simplify]: Simplified to (* (/ (cbrt (sqrt k)) (sqrt (pow (* n (* PI 2)) (- 1/2 (/ k 2))))) (cbrt (sqrt k)))
1552126189.848 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (/ (cbrt (sqrt k)) (sqrt (pow (* n (* PI 2)) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))
1552126189.849 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1552126189.849 * * [simplify]: iters left: 6 (14 enodes)
1552126189.856 * * [simplify]: iters left: 5 (48 enodes)
1552126189.870 * * [simplify]: iters left: 4 (61 enodes)
1552126189.888 * * [simplify]: iters left: 3 (68 enodes)
1552126189.904 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126189.904 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126189.904 * * [simplify]: Extracting #2: cost 8 inf + 0
1552126189.904 * * [simplify]: Extracting #3: cost 13 inf + 0
1552126189.904 * * [simplify]: Extracting #4: cost 23 inf + 1
1552126189.904 * * [simplify]: Extracting #5: cost 21 inf + 172
1552126189.905 * * [simplify]: Extracting #6: cost 4 inf + 2899
1552126189.905 * * [simplify]: Extracting #7: cost 0 inf + 3973
1552126189.906 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
1552126189.906 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))))
1552126189.906 * * * * [progress]: [ 51 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1552126189.906 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)
1552126189.907 * * [simplify]: iters left: 6 (6 enodes)
1552126189.908 * * [simplify]: iters left: 5 (20 enodes)
1552126189.912 * * [simplify]: iters left: 4 (30 enodes)
1552126189.918 * * [simplify]: iters left: 3 (31 enodes)
1552126189.922 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126189.922 * * [simplify]: Extracting #1: cost 5 inf + 0
1552126189.922 * * [simplify]: Extracting #2: cost 7 inf + 1
1552126189.922 * * [simplify]: Extracting #3: cost 9 inf + 1
1552126189.922 * * [simplify]: Extracting #4: cost 8 inf + 2
1552126189.922 * * [simplify]: Extracting #5: cost 0 inf + 972
1552126189.922 * [simplify]: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k)))
1552126189.922 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))
1552126189.922 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
1552126189.923 * * [simplify]: iters left: 6 (13 enodes)
1552126189.926 * * [simplify]: iters left: 5 (45 enodes)
1552126189.933 * * [simplify]: iters left: 4 (58 enodes)
1552126189.941 * * [simplify]: iters left: 3 (65 enodes)
1552126189.954 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126189.954 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126189.955 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126189.955 * * [simplify]: Extracting #3: cost 22 inf + 0
1552126189.955 * * [simplify]: Extracting #4: cost 20 inf + 172
1552126189.955 * * [simplify]: Extracting #5: cost 13 inf + 587
1552126189.956 * * [simplify]: Extracting #6: cost 1 inf + 2528
1552126189.957 * * [simplify]: Extracting #7: cost 0 inf + 3063
1552126189.958 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
1552126189.958 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))
1552126189.958 * * * * [progress]: [ 52 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) 1/2)) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2)))))))>
1552126189.958 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) 1/2))
1552126189.958 * * [simplify]: iters left: 6 (11 enodes)
1552126189.964 * * [simplify]: iters left: 5 (38 enodes)
1552126189.975 * * [simplify]: iters left: 4 (46 enodes)
1552126189.988 * * [simplify]: iters left: 3 (52 enodes)
1552126190.002 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126190.003 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126190.003 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126190.003 * * [simplify]: Extracting #3: cost 17 inf + 1
1552126190.003 * * [simplify]: Extracting #4: cost 10 inf + 501
1552126190.003 * * [simplify]: Extracting #5: cost 5 inf + 710
1552126190.004 * * [simplify]: Extracting #6: cost 1 inf + 1157
1552126190.005 * * [simplify]: Extracting #7: cost 0 inf + 1401
1552126190.005 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (* (* n 2) PI)))
1552126190.005 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (* (* n 2) PI))) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2)))))))
1552126190.006 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2))))
1552126190.006 * * [simplify]: iters left: 6 (12 enodes)
1552126190.011 * * [simplify]: iters left: 5 (42 enodes)
1552126190.017 * * [simplify]: iters left: 4 (52 enodes)
1552126190.025 * * [simplify]: iters left: 3 (57 enodes)
1552126190.033 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126190.033 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126190.033 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126190.033 * * [simplify]: Extracting #3: cost 21 inf + 0
1552126190.033 * * [simplify]: Extracting #4: cost 17 inf + 296
1552126190.034 * * [simplify]: Extracting #5: cost 8 inf + 751
1552126190.034 * * [simplify]: Extracting #6: cost 1 inf + 2238
1552126190.034 * * [simplify]: Extracting #7: cost 0 inf + 2732
1552126190.035 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))
1552126190.035 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (* (* n 2) PI))) (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2))))))
1552126190.035 * * * * [progress]: [ 53 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) 1/2)) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2)))))))>
1552126190.035 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) 1/2))
1552126190.035 * * [simplify]: iters left: 6 (11 enodes)
1552126190.039 * * [simplify]: iters left: 5 (38 enodes)
1552126190.050 * * [simplify]: iters left: 4 (46 enodes)
1552126190.064 * * [simplify]: iters left: 3 (52 enodes)
1552126190.077 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126190.077 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126190.078 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126190.078 * * [simplify]: Extracting #3: cost 17 inf + 1
1552126190.078 * * [simplify]: Extracting #4: cost 10 inf + 501
1552126190.078 * * [simplify]: Extracting #5: cost 5 inf + 710
1552126190.079 * * [simplify]: Extracting #6: cost 1 inf + 1157
1552126190.079 * * [simplify]: Extracting #7: cost 0 inf + 1401
1552126190.080 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (* (* n 2) PI)))
1552126190.080 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (* (* n 2) PI))) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2)))))))
1552126190.080 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2))))
1552126190.081 * * [simplify]: iters left: 6 (12 enodes)
1552126190.086 * * [simplify]: iters left: 5 (42 enodes)
1552126190.099 * * [simplify]: iters left: 4 (52 enodes)
1552126190.114 * * [simplify]: iters left: 3 (57 enodes)
1552126190.123 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126190.123 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126190.123 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126190.123 * * [simplify]: Extracting #3: cost 21 inf + 0
1552126190.123 * * [simplify]: Extracting #4: cost 17 inf + 296
1552126190.123 * * [simplify]: Extracting #5: cost 8 inf + 751
1552126190.124 * * [simplify]: Extracting #6: cost 1 inf + 2238
1552126190.124 * * [simplify]: Extracting #7: cost 0 inf + 2732
1552126190.124 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))
1552126190.125 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (* (* n 2) PI))) (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2))))))
1552126190.125 * * * * [progress]: [ 54 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
1552126190.125 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))
1552126190.125 * * [simplify]: iters left: 6 (11 enodes)
1552126190.128 * * [simplify]: iters left: 5 (36 enodes)
1552126190.133 * * [simplify]: iters left: 4 (41 enodes)
1552126190.140 * * [simplify]: iters left: 3 (43 enodes)
1552126190.149 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126190.149 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126190.149 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126190.149 * * [simplify]: Extracting #3: cost 18 inf + 0
1552126190.149 * * [simplify]: Extracting #4: cost 16 inf + 46
1552126190.149 * * [simplify]: Extracting #5: cost 11 inf + 335
1552126190.150 * * [simplify]: Extracting #6: cost 3 inf + 1162
1552126190.150 * * [simplify]: Extracting #7: cost 0 inf + 2404
1552126190.151 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))
1552126190.151 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))
1552126190.152 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))
1552126190.152 * * [simplify]: iters left: 6 (10 enodes)
1552126190.157 * * [simplify]: iters left: 5 (32 enodes)
1552126190.167 * * [simplify]: iters left: 4 (37 enodes)
1552126190.178 * * [simplify]: iters left: 3 (39 enodes)
1552126190.184 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126190.184 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126190.184 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126190.184 * * [simplify]: Extracting #3: cost 14 inf + 1
1552126190.184 * * [simplify]: Extracting #4: cost 16 inf + 3
1552126190.184 * * [simplify]: Extracting #5: cost 14 inf + 86
1552126190.184 * * [simplify]: Extracting #6: cost 5 inf + 662
1552126190.184 * * [simplify]: Extracting #7: cost 0 inf + 2160
1552126190.185 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))
1552126190.185 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))
1552126190.185 * * * * [progress]: [ 55 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (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))))))))>
1552126190.185 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1552126190.185 * * [simplify]: iters left: 6 (15 enodes)
1552126190.189 * * [simplify]: iters left: 5 (53 enodes)
1552126190.197 * * [simplify]: iters left: 4 (68 enodes)
1552126190.207 * * [simplify]: iters left: 3 (75 enodes)
1552126190.224 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126190.224 * * [simplify]: Extracting #1: cost 6 inf + 0
1552126190.224 * * [simplify]: Extracting #2: cost 12 inf + 0
1552126190.224 * * [simplify]: Extracting #3: cost 17 inf + 0
1552126190.224 * * [simplify]: Extracting #4: cost 27 inf + 1
1552126190.224 * * [simplify]: Extracting #5: cost 24 inf + 213
1552126190.225 * * [simplify]: Extracting #6: cost 6 inf + 3317
1552126190.226 * * [simplify]: Extracting #7: cost 0 inf + 6193
1552126190.228 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))))
1552126190.228 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))
1552126190.228 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1552126190.229 * * [simplify]: iters left: 6 (14 enodes)
1552126190.235 * * [simplify]: iters left: 5 (48 enodes)
1552126190.249 * * [simplify]: iters left: 4 (61 enodes)
1552126190.259 * * [simplify]: iters left: 3 (68 enodes)
1552126190.269 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126190.269 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126190.269 * * [simplify]: Extracting #2: cost 8 inf + 0
1552126190.269 * * [simplify]: Extracting #3: cost 13 inf + 0
1552126190.269 * * [simplify]: Extracting #4: cost 23 inf + 1
1552126190.269 * * [simplify]: Extracting #5: cost 21 inf + 172
1552126190.270 * * [simplify]: Extracting #6: cost 4 inf + 2899
1552126190.270 * * [simplify]: Extracting #7: cost 0 inf + 3973
1552126190.271 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
1552126190.271 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (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 (* (* PI 2) n) (- 1/2 (/ k 2))))))))
1552126190.271 * * * * [progress]: [ 56 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1552126190.271 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1552126190.271 * * [simplify]: iters left: 6 (14 enodes)
1552126190.275 * * [simplify]: iters left: 5 (48 enodes)
1552126190.282 * * [simplify]: iters left: 4 (61 enodes)
1552126190.299 * * [simplify]: iters left: 3 (68 enodes)
1552126190.317 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126190.317 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126190.317 * * [simplify]: Extracting #2: cost 8 inf + 0
1552126190.317 * * [simplify]: Extracting #3: cost 13 inf + 0
1552126190.317 * * [simplify]: Extracting #4: cost 23 inf + 1
1552126190.317 * * [simplify]: Extracting #5: cost 21 inf + 172
1552126190.318 * * [simplify]: Extracting #6: cost 4 inf + 2779
1552126190.319 * * [simplify]: Extracting #7: cost 0 inf + 3813
1552126190.320 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
1552126190.320 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))
1552126190.321 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1552126190.321 * * [simplify]: iters left: 6 (14 enodes)
1552126190.327 * * [simplify]: iters left: 5 (48 enodes)
1552126190.341 * * [simplify]: iters left: 4 (61 enodes)
1552126190.359 * * [simplify]: iters left: 3 (68 enodes)
1552126190.377 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126190.377 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126190.377 * * [simplify]: Extracting #2: cost 8 inf + 0
1552126190.377 * * [simplify]: Extracting #3: cost 13 inf + 0
1552126190.377 * * [simplify]: Extracting #4: cost 23 inf + 1
1552126190.378 * * [simplify]: Extracting #5: cost 21 inf + 172
1552126190.378 * * [simplify]: Extracting #6: cost 4 inf + 2779
1552126190.380 * * [simplify]: Extracting #7: cost 0 inf + 3813
1552126190.381 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
1552126190.381 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))))
1552126190.381 * * * * [progress]: [ 57 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) 1) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1552126190.381 * [simplify]: Simplifying (/ (sqrt (sqrt k)) 1)
1552126190.381 * * [simplify]: iters left: 4 (5 enodes)
1552126190.384 * * [simplify]: iters left: 3 (15 enodes)
1552126190.389 * * [simplify]: iters left: 2 (17 enodes)
1552126190.397 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126190.397 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126190.397 * * [simplify]: Extracting #2: cost 5 inf + 1
1552126190.397 * * [simplify]: Extracting #3: cost 4 inf + 2
1552126190.397 * * [simplify]: Extracting #4: cost 1 inf + 165
1552126190.397 * * [simplify]: Extracting #5: cost 0 inf + 246
1552126190.397 * [simplify]: Simplified to (sqrt (sqrt k))
1552126190.397 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))
1552126190.398 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
1552126190.398 * * [simplify]: iters left: 6 (13 enodes)
1552126190.404 * * [simplify]: iters left: 5 (45 enodes)
1552126190.418 * * [simplify]: iters left: 4 (58 enodes)
1552126190.430 * * [simplify]: iters left: 3 (65 enodes)
1552126190.439 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126190.439 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126190.439 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126190.439 * * [simplify]: Extracting #3: cost 22 inf + 0
1552126190.439 * * [simplify]: Extracting #4: cost 20 inf + 172
1552126190.439 * * [simplify]: Extracting #5: cost 13 inf + 587
1552126190.440 * * [simplify]: Extracting #6: cost 1 inf + 2408
1552126190.440 * * [simplify]: Extracting #7: cost 0 inf + 2903
1552126190.440 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
1552126190.440 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))
1552126190.441 * * * * [progress]: [ 58 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow (* (* n 2) PI) 1/2)) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2)))))))>
1552126190.441 * [simplify]: Simplifying (/ 1 (pow (* (* n 2) PI) 1/2))
1552126190.441 * * [simplify]: iters left: 6 (9 enodes)
1552126190.444 * * [simplify]: iters left: 5 (34 enodes)
1552126190.449 * * [simplify]: iters left: 4 (44 enodes)
1552126190.458 * * [simplify]: iters left: 3 (49 enodes)
1552126190.471 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126190.471 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126190.471 * * [simplify]: Extracting #2: cost 6 inf + 1
1552126190.472 * * [simplify]: Extracting #3: cost 12 inf + 2
1552126190.472 * * [simplify]: Extracting #4: cost 6 inf + 501
1552126190.472 * * [simplify]: Extracting #5: cost 0 inf + 997
1552126190.473 * [simplify]: Simplified to (/ 1 (sqrt (* n (* PI 2))))
1552126190.473 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* PI 2)))) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2)))))))
1552126190.473 * [simplify]: Simplifying (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))
1552126190.473 * * [simplify]: iters left: 6 (11 enodes)
1552126190.478 * * [simplify]: iters left: 5 (39 enodes)
1552126190.490 * * [simplify]: iters left: 4 (49 enodes)
1552126190.504 * * [simplify]: iters left: 3 (55 enodes)
1552126190.518 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126190.518 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126190.519 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126190.519 * * [simplify]: Extracting #3: cost 18 inf + 1
1552126190.519 * * [simplify]: Extracting #4: cost 15 inf + 211
1552126190.519 * * [simplify]: Extracting #5: cost 3 inf + 1208
1552126190.520 * * [simplify]: Extracting #6: cost 0 inf + 2490
1552126190.522 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- k) 2)))
1552126190.522 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* PI 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- k) 2))))))
1552126190.523 * * * * [progress]: [ 59 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow (* (* n 2) PI) 1/2)) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2)))))))>
1552126190.523 * [simplify]: Simplifying (/ 1 (pow (* (* n 2) PI) 1/2))
1552126190.523 * * [simplify]: iters left: 6 (9 enodes)
1552126190.528 * * [simplify]: iters left: 5 (34 enodes)
1552126190.539 * * [simplify]: iters left: 4 (44 enodes)
1552126190.552 * * [simplify]: iters left: 3 (49 enodes)
1552126190.561 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126190.562 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126190.562 * * [simplify]: Extracting #2: cost 6 inf + 1
1552126190.562 * * [simplify]: Extracting #3: cost 12 inf + 2
1552126190.562 * * [simplify]: Extracting #4: cost 6 inf + 501
1552126190.562 * * [simplify]: Extracting #5: cost 0 inf + 997
1552126190.562 * [simplify]: Simplified to (/ 1 (sqrt (* n (* PI 2))))
1552126190.562 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* PI 2)))) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2)))))))
1552126190.562 * [simplify]: Simplifying (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))
1552126190.563 * * [simplify]: iters left: 6 (11 enodes)
1552126190.565 * * [simplify]: iters left: 5 (39 enodes)
1552126190.571 * * [simplify]: iters left: 4 (49 enodes)
1552126190.578 * * [simplify]: iters left: 3 (55 enodes)
1552126190.585 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126190.586 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126190.586 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126190.586 * * [simplify]: Extracting #3: cost 18 inf + 1
1552126190.586 * * [simplify]: Extracting #4: cost 15 inf + 211
1552126190.586 * * [simplify]: Extracting #5: cost 3 inf + 1208
1552126190.587 * * [simplify]: Extracting #6: cost 0 inf + 2490
1552126190.587 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- k) 2)))
1552126190.588 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* PI 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- k) 2))))))
1552126190.588 * * * * [progress]: [ 60 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
1552126190.588 * [simplify]: Simplifying (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))
1552126190.588 * * [simplify]: iters left: 6 (10 enodes)
1552126190.594 * * [simplify]: iters left: 5 (35 enodes)
1552126190.605 * * [simplify]: iters left: 4 (42 enodes)
1552126190.618 * * [simplify]: iters left: 3 (44 enodes)
1552126190.631 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126190.631 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126190.631 * * [simplify]: Extracting #2: cost 6 inf + 1
1552126190.631 * * [simplify]: Extracting #3: cost 13 inf + 1
1552126190.631 * * [simplify]: Extracting #4: cost 13 inf + 46
1552126190.631 * * [simplify]: Extracting #5: cost 11 inf + 130
1552126190.632 * * [simplify]: Extracting #6: cost 5 inf + 503
1552126190.632 * * [simplify]: Extracting #7: cost 0 inf + 2003
1552126190.633 * [simplify]: Simplified to (/ 1 (pow (* 2 n) (- 1/2 (/ k 2))))
1552126190.633 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))
1552126190.633 * [simplify]: Simplifying (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))
1552126190.633 * * [simplify]: iters left: 6 (9 enodes)
1552126190.638 * * [simplify]: iters left: 5 (29 enodes)
1552126190.647 * * [simplify]: iters left: 4 (34 enodes)
1552126190.659 * * [simplify]: iters left: 3 (36 enodes)
1552126190.669 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126190.669 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126190.669 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126190.669 * * [simplify]: Extracting #3: cost 11 inf + 2
1552126190.669 * * [simplify]: Extracting #4: cost 12 inf + 85
1552126190.670 * * [simplify]: Extracting #5: cost 9 inf + 251
1552126190.670 * * [simplify]: Extracting #6: cost 4 inf + 793
1552126190.670 * * [simplify]: Extracting #7: cost 0 inf + 1918
1552126190.671 * [simplify]: Simplified to (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))
1552126190.671 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))
1552126190.671 * * * * [progress]: [ 61 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (* (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))))))))>
1552126190.671 * [simplify]: Simplifying (/ 1 (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1552126190.672 * * [simplify]: iters left: 6 (14 enodes)
1552126190.679 * * [simplify]: iters left: 5 (52 enodes)
1552126190.696 * * [simplify]: iters left: 4 (69 enodes)
1552126190.717 * * [simplify]: iters left: 3 (77 enodes)
1552126190.738 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126190.738 * * [simplify]: Extracting #1: cost 6 inf + 0
1552126190.738 * * [simplify]: Extracting #2: cost 9 inf + 1
1552126190.738 * * [simplify]: Extracting #3: cost 12 inf + 1
1552126190.738 * * [simplify]: Extracting #4: cost 23 inf + 1
1552126190.738 * * [simplify]: Extracting #5: cost 23 inf + 172
1552126190.739 * * [simplify]: Extracting #6: cost 14 inf + 713
1552126190.739 * * [simplify]: Extracting #7: cost 4 inf + 3651
1552126190.741 * * [simplify]: Extracting #8: cost 0 inf + 5634
1552126190.742 * [simplify]: Simplified to (/ 1 (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
1552126190.742 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))
1552126190.743 * [simplify]: Simplifying (/ (sqrt k) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1552126190.743 * * [simplify]: iters left: 6 (13 enodes)
1552126190.750 * * [simplify]: iters left: 5 (45 enodes)
1552126190.764 * * [simplify]: iters left: 4 (58 enodes)
1552126190.781 * * [simplify]: iters left: 3 (65 enodes)
1552126190.798 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126190.798 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126190.798 * * [simplify]: Extracting #2: cost 8 inf + 0
1552126190.798 * * [simplify]: Extracting #3: cost 10 inf + 1
1552126190.799 * * [simplify]: Extracting #4: cost 19 inf + 83
1552126190.799 * * [simplify]: Extracting #5: cost 20 inf + 129
1552126190.799 * * [simplify]: Extracting #6: cost 11 inf + 711
1552126190.800 * * [simplify]: Extracting #7: cost 1 inf + 3196
1552126190.801 * * [simplify]: Extracting #8: cost 0 inf + 3731
1552126190.802 * [simplify]: Simplified to (/ (sqrt k) (cbrt (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))
1552126190.802 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* (* n PI) 2) (- 1/2 (/ k 2))))))))
1552126190.802 * * * * [progress]: [ 62 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1552126190.802 * [simplify]: Simplifying (/ 1 (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1552126190.803 * * [simplify]: iters left: 6 (13 enodes)
1552126190.811 * * [simplify]: iters left: 5 (47 enodes)
1552126190.826 * * [simplify]: iters left: 4 (62 enodes)
1552126190.845 * * [simplify]: iters left: 3 (69 enodes)
1552126190.864 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126190.864 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126190.864 * * [simplify]: Extracting #2: cost 5 inf + 1
1552126190.864 * * [simplify]: Extracting #3: cost 8 inf + 1
1552126190.864 * * [simplify]: Extracting #4: cost 19 inf + 1
1552126190.865 * * [simplify]: Extracting #5: cost 17 inf + 297
1552126190.865 * * [simplify]: Extracting #6: cost 10 inf + 632
1552126190.865 * * [simplify]: Extracting #7: cost 2 inf + 2915
1552126190.866 * * [simplify]: Extracting #8: cost 0 inf + 3412
1552126190.866 * [simplify]: Simplified to (/ 1 (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))
1552126190.866 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))
1552126190.867 * [simplify]: Simplifying (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1552126190.867 * * [simplify]: iters left: 6 (13 enodes)
1552126190.870 * * [simplify]: iters left: 5 (45 enodes)
1552126190.877 * * [simplify]: iters left: 4 (58 enodes)
1552126190.886 * * [simplify]: iters left: 3 (65 enodes)
1552126190.895 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126190.895 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126190.895 * * [simplify]: Extracting #2: cost 8 inf + 0
1552126190.895 * * [simplify]: Extracting #3: cost 10 inf + 1
1552126190.895 * * [simplify]: Extracting #4: cost 19 inf + 83
1552126190.895 * * [simplify]: Extracting #5: cost 20 inf + 129
1552126190.895 * * [simplify]: Extracting #6: cost 11 inf + 711
1552126190.896 * * [simplify]: Extracting #7: cost 1 inf + 3076
1552126190.896 * * [simplify]: Extracting #8: cost 0 inf + 3571
1552126190.897 * [simplify]: Simplified to (/ (sqrt k) (sqrt (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))
1552126190.897 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* (* n PI) 2) (- 1/2 (/ k 2))))))))
1552126190.897 * * * * [progress]: [ 63 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 1) (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1552126190.897 * [simplify]: Simplifying (/ 1 1)
1552126190.897 * * [simplify]: iters left: 2 (2 enodes)
1552126190.899 * * [simplify]: iters left: 1 (6 enodes)
1552126190.901 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126190.901 * * [simplify]: Extracting #1: cost 0 inf + 1
1552126190.901 * [simplify]: Simplified to 1
1552126190.901 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))
1552126190.901 * [simplify]: Simplifying (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
1552126190.901 * * [simplify]: iters left: 6 (12 enodes)
1552126190.907 * * [simplify]: iters left: 5 (42 enodes)
1552126190.920 * * [simplify]: iters left: 4 (55 enodes)
1552126190.932 * * [simplify]: iters left: 3 (62 enodes)
1552126190.940 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126190.940 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126190.940 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126190.940 * * [simplify]: Extracting #3: cost 19 inf + 1
1552126190.940 * * [simplify]: Extracting #4: cost 20 inf + 46
1552126190.940 * * [simplify]: Extracting #5: cost 12 inf + 504
1552126190.941 * * [simplify]: Extracting #6: cost 1 inf + 2206
1552126190.941 * * [simplify]: Extracting #7: cost 0 inf + 2661
1552126190.942 * [simplify]: Simplified to (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))
1552126190.942 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))))))
1552126190.942 * * * * [progress]: [ 64 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1552126190.942 * * * * [progress]: [ 65 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1552126190.942 * * * * [progress]: [ 66 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ 1 (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))))>
1552126190.942 * * * * [progress]: [ 67 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* (* n 2) PI) 1/2)) (pow (* (* n 2) PI) (- (/ k 2))))))>
1552126190.942 * [simplify]: Simplifying (pow (* (* n 2) PI) (- (/ k 2)))
1552126190.942 * * [simplify]: iters left: 5 (9 enodes)
1552126190.945 * * [simplify]: iters left: 4 (33 enodes)
1552126190.950 * * [simplify]: iters left: 3 (43 enodes)
1552126190.956 * * [simplify]: iters left: 2 (48 enodes)
1552126190.968 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126190.968 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126190.968 * * [simplify]: Extracting #2: cost 14 inf + 0
1552126190.968 * * [simplify]: Extracting #3: cost 16 inf + 45
1552126190.968 * * [simplify]: Extracting #4: cost 10 inf + 297
1552126190.969 * * [simplify]: Extracting #5: cost 4 inf + 629
1552126190.970 * * [simplify]: Extracting #6: cost 0 inf + 1500
1552126190.970 * [simplify]: Simplified to (pow (* (* PI 2) n) (- (/ k 2)))
1552126190.970 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* (* n 2) PI) 1/2)) (pow (* (* PI 2) n) (- (/ k 2))))))
1552126190.970 * * * * [progress]: [ 68 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* (* n 2) PI) 1/2)) (pow (* (* n 2) PI) (- (/ k 2))))))>
1552126190.971 * [simplify]: Simplifying (pow (* (* n 2) PI) (- (/ k 2)))
1552126190.971 * * [simplify]: iters left: 5 (9 enodes)
1552126190.975 * * [simplify]: iters left: 4 (33 enodes)
1552126190.985 * * [simplify]: iters left: 3 (43 enodes)
1552126190.997 * * [simplify]: iters left: 2 (48 enodes)
1552126191.010 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126191.010 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126191.010 * * [simplify]: Extracting #2: cost 14 inf + 0
1552126191.010 * * [simplify]: Extracting #3: cost 16 inf + 45
1552126191.010 * * [simplify]: Extracting #4: cost 10 inf + 297
1552126191.010 * * [simplify]: Extracting #5: cost 4 inf + 629
1552126191.010 * * [simplify]: Extracting #6: cost 0 inf + 1500
1552126191.011 * [simplify]: Simplified to (pow (* (* PI 2) n) (- (/ k 2)))
1552126191.011 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* (* n 2) PI) 1/2)) (pow (* (* PI 2) n) (- (/ k 2))))))
1552126191.011 * * * * [progress]: [ 69 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2))))))>
1552126191.011 * [simplify]: Simplifying (pow PI (- 1/2 (/ k 2)))
1552126191.011 * * [simplify]: iters left: 5 (7 enodes)
1552126191.013 * * [simplify]: iters left: 4 (23 enodes)
1552126191.017 * * [simplify]: iters left: 3 (28 enodes)
1552126191.021 * * [simplify]: iters left: 2 (30 enodes)
1552126191.026 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126191.026 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126191.026 * * [simplify]: Extracting #2: cost 7 inf + 1
1552126191.026 * * [simplify]: Extracting #3: cost 11 inf + 2
1552126191.026 * * [simplify]: Extracting #4: cost 8 inf + 127
1552126191.026 * * [simplify]: Extracting #5: cost 3 inf + 417
1552126191.026 * * [simplify]: Extracting #6: cost 1 inf + 794
1552126191.026 * * [simplify]: Extracting #7: cost 0 inf + 1088
1552126191.026 * [simplify]: Simplified to (pow PI (- 1/2 (/ k 2)))
1552126191.027 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2))))))
1552126191.027 * * * * [progress]: [ 70 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) (* (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)))))))>
1552126191.027 * [simplify]: Simplifying (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
1552126191.027 * * [simplify]: iters left: 6 (11 enodes)
1552126191.030 * * [simplify]: iters left: 5 (39 enodes)
1552126191.037 * * [simplify]: iters left: 4 (52 enodes)
1552126191.052 * * [simplify]: iters left: 3 (59 enodes)
1552126191.068 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126191.068 * * [simplify]: Extracting #1: cost 3 inf + 0
1552126191.068 * * [simplify]: Extracting #2: cost 6 inf + 0
1552126191.068 * * [simplify]: Extracting #3: cost 17 inf + 0
1552126191.068 * * [simplify]: Extracting #4: cost 19 inf + 46
1552126191.069 * * [simplify]: Extracting #5: cost 7 inf + 1087
1552126191.069 * * [simplify]: Extracting #6: cost 0 inf + 2579
1552126191.070 * [simplify]: Simplified to (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))
1552126191.070 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))))
1552126191.070 * * * * [progress]: [ 71 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1552126191.071 * [simplify]: Simplifying (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
1552126191.071 * * [simplify]: iters left: 6 (11 enodes)
1552126191.077 * * [simplify]: iters left: 5 (39 enodes)
1552126191.089 * * [simplify]: iters left: 4 (52 enodes)
1552126191.104 * * [simplify]: iters left: 3 (59 enodes)
1552126191.120 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126191.120 * * [simplify]: Extracting #1: cost 3 inf + 0
1552126191.120 * * [simplify]: Extracting #2: cost 6 inf + 0
1552126191.120 * * [simplify]: Extracting #3: cost 17 inf + 0
1552126191.120 * * [simplify]: Extracting #4: cost 19 inf + 46
1552126191.120 * * [simplify]: Extracting #5: cost 7 inf + 1087
1552126191.121 * * [simplify]: Extracting #6: cost 0 inf + 2499
1552126191.122 * [simplify]: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))
1552126191.122 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))))
1552126191.122 * * * * [progress]: [ 72 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) 1) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1552126191.122 * [simplify]: Simplifying (pow (* (* n 2) PI) (- 1/2 (/ k 2)))
1552126191.123 * * [simplify]: iters left: 5 (10 enodes)
1552126191.128 * * [simplify]: iters left: 4 (36 enodes)
1552126191.139 * * [simplify]: iters left: 3 (49 enodes)
1552126191.153 * * [simplify]: iters left: 2 (56 enodes)
1552126191.167 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126191.167 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126191.167 * * [simplify]: Extracting #2: cost 15 inf + 0
1552126191.167 * * [simplify]: Extracting #3: cost 18 inf + 4
1552126191.167 * * [simplify]: Extracting #4: cost 7 inf + 630
1552126191.168 * * [simplify]: Extracting #5: cost 0 inf + 1669
1552126191.168 * [simplify]: Simplified to (pow (* (* n 2) PI) (- 1/2 (/ k 2)))
1552126191.168 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) 1) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1552126191.168 * * * * [progress]: [ 73 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))))))>
1552126191.168 * [simplify]: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k)))
1552126191.168 * * [simplify]: iters left: 4 (4 enodes)
1552126191.169 * * [simplify]: iters left: 3 (12 enodes)
1552126191.171 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126191.171 * * [simplify]: Extracting #1: cost 3 inf + 0
1552126191.171 * * [simplify]: Extracting #2: cost 5 inf + 0
1552126191.171 * * [simplify]: Extracting #3: cost 7 inf + 0
1552126191.171 * * [simplify]: Extracting #4: cost 6 inf + 1
1552126191.171 * * [simplify]: Extracting #5: cost 0 inf + 647
1552126191.171 * [simplify]: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k)))
1552126191.171 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))))))
1552126191.171 * * * * [progress]: [ 74 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt (sqrt k)) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))))>
1552126191.171 * [simplify]: Simplifying (sqrt (sqrt k))
1552126191.171 * * [simplify]: iters left: 2 (3 enodes)
1552126191.172 * * [simplify]: iters left: 1 (9 enodes)
1552126191.173 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126191.173 * * [simplify]: Extracting #1: cost 3 inf + 0
1552126191.173 * * [simplify]: Extracting #2: cost 5 inf + 0
1552126191.173 * * [simplify]: Extracting #3: cost 4 inf + 1
1552126191.173 * * [simplify]: Extracting #4: cost 0 inf + 245
1552126191.173 * [simplify]: Simplified to (sqrt (sqrt k))
1552126191.173 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (sqrt (sqrt k)) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))))
1552126191.173 * * * * [progress]: [ 75 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ 1 (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))))>
1552126191.173 * * * * [progress]: [ 76 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt k) (pow (* (* n 2) PI) 1/2)) (pow (* (* n 2) PI) (/ k 2)))))>
1552126191.174 * [simplify]: Simplifying (pow (* (* n 2) PI) (/ k 2))
1552126191.174 * * [simplify]: iters left: 5 (8 enodes)
1552126191.176 * * [simplify]: iters left: 4 (28 enodes)
1552126191.181 * * [simplify]: iters left: 3 (36 enodes)
1552126191.186 * * [simplify]: iters left: 2 (41 enodes)
1552126191.193 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126191.193 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126191.193 * * [simplify]: Extracting #2: cost 13 inf + 0
1552126191.193 * * [simplify]: Extracting #3: cost 12 inf + 4
1552126191.193 * * [simplify]: Extracting #4: cost 3 inf + 756
1552126191.194 * * [simplify]: Extracting #5: cost 0 inf + 1174
1552126191.194 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2))
1552126191.194 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt k) (pow (* (* n 2) PI) 1/2)) (pow (* (* n 2) PI) (/ k 2)))))
1552126191.195 * * * * [progress]: [ 77 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (posit16->real (real->posit16 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1552126191.195 * * * * [progress]: [ 78 / 132 ] simplifiying candidate #<alt (λ (k n) (log1p (expm1 (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1552126191.195 * * * * [progress]: [ 79 / 132 ] simplifiying candidate #<alt (λ (k n) (expm1 (log1p (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1552126191.195 * * * * [progress]: [ 80 / 132 ] simplifiying candidate #<alt (λ (k n) (pow (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) -1))>
1552126191.195 * * * * [progress]: [ 81 / 132 ] simplifiying candidate #<alt (λ (k n) (pow (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (- 1)))>
1552126191.195 * [simplify]: Simplifying (- 1)
1552126191.195 * * [simplify]: iters left: 2 (2 enodes)
1552126191.197 * * [simplify]: iters left: 1 (9 enodes)
1552126191.200 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126191.200 * * [simplify]: Extracting #1: cost 0 inf + 1
1552126191.200 * [simplify]: Simplified to -1
1552126191.200 * [simplify]: Simplified (2 2) to (λ (k n) (pow (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) -1))
1552126191.201 * * * * [progress]: [ 82 / 132 ] simplifiying candidate #<alt (λ (k n) (pow (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1))>
1552126191.201 * * * * [progress]: [ 83 / 132 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k)) (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))))>
1552126191.201 * * * * [progress]: [ 84 / 132 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k)) (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))))>
1552126191.201 * * * * [progress]: [ 85 / 132 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k)) (log (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1552126191.201 * * * * [progress]: [ 86 / 132 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1552126191.201 * * * * [progress]: [ 87 / 132 ] simplifiying candidate #<alt (λ (k n) (exp (log (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1552126191.201 * * * * [progress]: [ 88 / 132 ] simplifiying candidate #<alt (λ (k n) (log (exp (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1552126191.201 * * * * [progress]: [ 89 / 132 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) (cbrt (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1552126191.201 * * * * [progress]: [ 90 / 132 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (/ 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))))))))>
1552126191.201 * * * * [progress]: [ 91 / 132 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (sqrt (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1552126191.201 * * * * [progress]: [ 92 / 132 ] simplifiying candidate #<alt (λ (k n) (/ (- 1) (- (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1552126191.201 * * * * [progress]: [ 93 / 132 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1552126191.201 * * * * [progress]: [ 94 / 132 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1552126191.201 * * * * [progress]: [ 95 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)))>
1552126191.201 * * * * [progress]: [ 96 / 132 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (* (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1552126191.202 * [simplify]: Simplifying (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1552126191.202 * * [simplify]: iters left: 6 (13 enodes)
1552126191.207 * * [simplify]: iters left: 5 (45 enodes)
1552126191.213 * * [simplify]: iters left: 4 (58 enodes)
1552126191.222 * * [simplify]: iters left: 3 (65 enodes)
1552126191.231 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126191.231 * * [simplify]: Extracting #1: cost 3 inf + 0
1552126191.231 * * [simplify]: Extracting #2: cost 6 inf + 0
1552126191.231 * * [simplify]: Extracting #3: cost 11 inf + 0
1552126191.231 * * [simplify]: Extracting #4: cost 21 inf + 1
1552126191.232 * * [simplify]: Extracting #5: cost 21 inf + 88
1552126191.232 * * [simplify]: Extracting #6: cost 11 inf + 711
1552126191.232 * * [simplify]: Extracting #7: cost 1 inf + 3196
1552126191.233 * * [simplify]: Extracting #8: cost 0 inf + 3731
1552126191.233 * [simplify]: Simplified to (cbrt (/ (sqrt k) (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))
1552126191.233 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (* (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) (cbrt (/ (sqrt k) (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))))
1552126191.233 * * * * [progress]: [ 97 / 132 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1552126191.234 * [simplify]: Simplifying (sqrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1552126191.234 * * [simplify]: iters left: 6 (13 enodes)
1552126191.240 * * [simplify]: iters left: 5 (45 enodes)
1552126191.254 * * [simplify]: iters left: 4 (58 enodes)
1552126191.271 * * [simplify]: iters left: 3 (65 enodes)
1552126191.279 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126191.279 * * [simplify]: Extracting #1: cost 3 inf + 0
1552126191.279 * * [simplify]: Extracting #2: cost 6 inf + 0
1552126191.279 * * [simplify]: Extracting #3: cost 11 inf + 0
1552126191.279 * * [simplify]: Extracting #4: cost 21 inf + 1
1552126191.280 * * [simplify]: Extracting #5: cost 21 inf + 88
1552126191.280 * * [simplify]: Extracting #6: cost 11 inf + 711
1552126191.280 * * [simplify]: Extracting #7: cost 1 inf + 3156
1552126191.281 * * [simplify]: Extracting #8: cost 0 inf + 3651
1552126191.281 * [simplify]: Simplified to (sqrt (/ (sqrt k) (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))
1552126191.281 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (sqrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))))
1552126191.282 * * * * [progress]: [ 98 / 132 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* n 2) PI) 1/2))) (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2))))))>
1552126191.282 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2))))
1552126191.282 * * [simplify]: iters left: 6 (12 enodes)
1552126191.286 * * [simplify]: iters left: 5 (42 enodes)
1552126191.292 * * [simplify]: iters left: 4 (52 enodes)
1552126191.299 * * [simplify]: iters left: 3 (57 enodes)
1552126191.312 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126191.312 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126191.312 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126191.312 * * [simplify]: Extracting #3: cost 21 inf + 0
1552126191.312 * * [simplify]: Extracting #4: cost 17 inf + 296
1552126191.313 * * [simplify]: Extracting #5: cost 8 inf + 751
1552126191.314 * * [simplify]: Extracting #6: cost 1 inf + 2358
1552126191.314 * * [simplify]: Extracting #7: cost 0 inf + 2892
1552126191.315 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))
1552126191.315 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* n 2) PI) 1/2))) (/ (cbrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))))
1552126191.315 * * * * [progress]: [ 99 / 132 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* n 2) PI) 1/2))) (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2))))))>
1552126191.316 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2))))
1552126191.316 * * [simplify]: iters left: 6 (12 enodes)
1552126191.322 * * [simplify]: iters left: 5 (42 enodes)
1552126191.332 * * [simplify]: iters left: 4 (52 enodes)
1552126191.340 * * [simplify]: iters left: 3 (57 enodes)
1552126191.347 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126191.347 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126191.347 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126191.347 * * [simplify]: Extracting #3: cost 21 inf + 0
1552126191.348 * * [simplify]: Extracting #4: cost 17 inf + 296
1552126191.348 * * [simplify]: Extracting #5: cost 8 inf + 751
1552126191.348 * * [simplify]: Extracting #6: cost 1 inf + 2358
1552126191.348 * * [simplify]: Extracting #7: cost 0 inf + 2892
1552126191.349 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))
1552126191.349 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* n 2) PI) 1/2))) (/ (cbrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))))
1552126191.349 * * * * [progress]: [ 100 / 132 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))>
1552126191.349 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))
1552126191.349 * * [simplify]: iters left: 6 (10 enodes)
1552126191.354 * * [simplify]: iters left: 5 (32 enodes)
1552126191.364 * * [simplify]: iters left: 4 (37 enodes)
1552126191.375 * * [simplify]: iters left: 3 (39 enodes)
1552126191.387 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126191.387 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126191.387 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126191.387 * * [simplify]: Extracting #3: cost 14 inf + 1
1552126191.387 * * [simplify]: Extracting #4: cost 16 inf + 3
1552126191.387 * * [simplify]: Extracting #5: cost 14 inf + 86
1552126191.388 * * [simplify]: Extracting #6: cost 5 inf + 742
1552126191.388 * * [simplify]: Extracting #7: cost 0 inf + 2320
1552126191.389 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))
1552126191.389 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))
1552126191.389 * * * * [progress]: [ 101 / 132 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1552126191.390 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1552126191.390 * * [simplify]: iters left: 6 (14 enodes)
1552126191.397 * * [simplify]: iters left: 5 (48 enodes)
1552126191.414 * * [simplify]: iters left: 4 (61 enodes)
1552126191.429 * * [simplify]: iters left: 3 (68 enodes)
1552126191.438 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126191.438 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126191.438 * * [simplify]: Extracting #2: cost 8 inf + 0
1552126191.438 * * [simplify]: Extracting #3: cost 13 inf + 0
1552126191.438 * * [simplify]: Extracting #4: cost 23 inf + 1
1552126191.438 * * [simplify]: Extracting #5: cost 21 inf + 172
1552126191.439 * * [simplify]: Extracting #6: cost 4 inf + 3019
1552126191.439 * * [simplify]: Extracting #7: cost 0 inf + 4133
1552126191.440 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
1552126191.440 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))))
1552126191.440 * * * * [progress]: [ 102 / 132 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (* (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)))))))>
1552126191.440 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1552126191.440 * * [simplify]: iters left: 6 (14 enodes)
1552126191.444 * * [simplify]: iters left: 5 (48 enodes)
1552126191.451 * * [simplify]: iters left: 4 (61 enodes)
1552126191.462 * * [simplify]: iters left: 3 (68 enodes)
1552126191.471 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126191.471 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126191.471 * * [simplify]: Extracting #2: cost 8 inf + 0
1552126191.471 * * [simplify]: Extracting #3: cost 13 inf + 0
1552126191.471 * * [simplify]: Extracting #4: cost 23 inf + 1
1552126191.471 * * [simplify]: Extracting #5: cost 21 inf + 172
1552126191.471 * * [simplify]: Extracting #6: cost 4 inf + 2899
1552126191.472 * * [simplify]: Extracting #7: cost 0 inf + 3973
1552126191.472 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
1552126191.472 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))))
1552126191.472 * * * * [progress]: [ 103 / 132 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1552126191.473 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
1552126191.473 * * [simplify]: iters left: 6 (13 enodes)
1552126191.476 * * [simplify]: iters left: 5 (45 enodes)
1552126191.483 * * [simplify]: iters left: 4 (58 enodes)
1552126191.493 * * [simplify]: iters left: 3 (65 enodes)
1552126191.503 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126191.503 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126191.503 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126191.503 * * [simplify]: Extracting #3: cost 22 inf + 0
1552126191.503 * * [simplify]: Extracting #4: cost 20 inf + 172
1552126191.503 * * [simplify]: Extracting #5: cost 13 inf + 587
1552126191.503 * * [simplify]: Extracting #6: cost 1 inf + 2528
1552126191.504 * * [simplify]: Extracting #7: cost 0 inf + 3063
1552126191.504 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
1552126191.504 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1552126191.504 * * * * [progress]: [ 104 / 132 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) 1/2))) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2))))))>
1552126191.505 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2))))
1552126191.505 * * [simplify]: iters left: 6 (12 enodes)
1552126191.508 * * [simplify]: iters left: 5 (42 enodes)
1552126191.514 * * [simplify]: iters left: 4 (52 enodes)
1552126191.521 * * [simplify]: iters left: 3 (57 enodes)
1552126191.535 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126191.535 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126191.535 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126191.535 * * [simplify]: Extracting #3: cost 21 inf + 0
1552126191.535 * * [simplify]: Extracting #4: cost 17 inf + 296
1552126191.536 * * [simplify]: Extracting #5: cost 8 inf + 751
1552126191.536 * * [simplify]: Extracting #6: cost 1 inf + 2238
1552126191.537 * * [simplify]: Extracting #7: cost 0 inf + 2732
1552126191.538 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))
1552126191.538 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) 1/2))) (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))))
1552126191.538 * * * * [progress]: [ 105 / 132 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) 1/2))) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2))))))>
1552126191.538 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2))))
1552126191.538 * * [simplify]: iters left: 6 (12 enodes)
1552126191.544 * * [simplify]: iters left: 5 (42 enodes)
1552126191.556 * * [simplify]: iters left: 4 (52 enodes)
1552126191.572 * * [simplify]: iters left: 3 (57 enodes)
1552126191.586 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126191.587 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126191.587 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126191.587 * * [simplify]: Extracting #3: cost 21 inf + 0
1552126191.587 * * [simplify]: Extracting #4: cost 17 inf + 296
1552126191.587 * * [simplify]: Extracting #5: cost 8 inf + 751
1552126191.588 * * [simplify]: Extracting #6: cost 1 inf + 2238
1552126191.589 * * [simplify]: Extracting #7: cost 0 inf + 2732
1552126191.590 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))
1552126191.590 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) 1/2))) (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))))
1552126191.590 * * * * [progress]: [ 106 / 132 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))>
1552126191.590 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))
1552126191.590 * * [simplify]: iters left: 6 (10 enodes)
1552126191.595 * * [simplify]: iters left: 5 (32 enodes)
1552126191.606 * * [simplify]: iters left: 4 (37 enodes)
1552126191.617 * * [simplify]: iters left: 3 (39 enodes)
1552126191.630 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126191.630 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126191.630 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126191.630 * * [simplify]: Extracting #3: cost 14 inf + 1
1552126191.630 * * [simplify]: Extracting #4: cost 16 inf + 3
1552126191.630 * * [simplify]: Extracting #5: cost 14 inf + 86
1552126191.631 * * [simplify]: Extracting #6: cost 5 inf + 662
1552126191.631 * * [simplify]: Extracting #7: cost 0 inf + 2160
1552126191.632 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))
1552126191.632 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))
1552126191.632 * * * * [progress]: [ 107 / 132 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (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)))))))>
1552126191.632 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1552126191.632 * * [simplify]: iters left: 6 (14 enodes)
1552126191.640 * * [simplify]: iters left: 5 (48 enodes)
1552126191.654 * * [simplify]: iters left: 4 (61 enodes)
1552126191.672 * * [simplify]: iters left: 3 (68 enodes)
1552126191.690 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126191.690 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126191.690 * * [simplify]: Extracting #2: cost 8 inf + 0
1552126191.690 * * [simplify]: Extracting #3: cost 13 inf + 0
1552126191.690 * * [simplify]: Extracting #4: cost 23 inf + 1
1552126191.690 * * [simplify]: Extracting #5: cost 21 inf + 172
1552126191.691 * * [simplify]: Extracting #6: cost 4 inf + 2899
1552126191.692 * * [simplify]: Extracting #7: cost 0 inf + 3973
1552126191.694 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
1552126191.694 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (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 (* (* PI 2) n) (- 1/2 (/ k 2)))))))
1552126191.694 * * * * [progress]: [ 108 / 132 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1552126191.694 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1552126191.694 * * [simplify]: iters left: 6 (14 enodes)
1552126191.702 * * [simplify]: iters left: 5 (48 enodes)
1552126191.716 * * [simplify]: iters left: 4 (61 enodes)
1552126191.732 * * [simplify]: iters left: 3 (68 enodes)
1552126191.741 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126191.741 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126191.741 * * [simplify]: Extracting #2: cost 8 inf + 0
1552126191.741 * * [simplify]: Extracting #3: cost 13 inf + 0
1552126191.741 * * [simplify]: Extracting #4: cost 23 inf + 1
1552126191.741 * * [simplify]: Extracting #5: cost 21 inf + 172
1552126191.742 * * [simplify]: Extracting #6: cost 4 inf + 2779
1552126191.742 * * [simplify]: Extracting #7: cost 0 inf + 3813
1552126191.743 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
1552126191.743 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))))
1552126191.743 * * * * [progress]: [ 109 / 132 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1552126191.743 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
1552126191.743 * * [simplify]: iters left: 6 (13 enodes)
1552126191.746 * * [simplify]: iters left: 5 (45 enodes)
1552126191.754 * * [simplify]: iters left: 4 (58 enodes)
1552126191.763 * * [simplify]: iters left: 3 (65 enodes)
1552126191.774 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126191.774 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126191.774 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126191.774 * * [simplify]: Extracting #3: cost 22 inf + 0
1552126191.774 * * [simplify]: Extracting #4: cost 20 inf + 172
1552126191.775 * * [simplify]: Extracting #5: cost 13 inf + 587
1552126191.775 * * [simplify]: Extracting #6: cost 1 inf + 2408
1552126191.776 * * [simplify]: Extracting #7: cost 0 inf + 2903
1552126191.777 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
1552126191.777 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1552126191.777 * * * * [progress]: [ 110 / 132 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 (pow (* (* n 2) PI) 1/2))) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))))>
1552126191.778 * [simplify]: Simplifying (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))
1552126191.778 * * [simplify]: iters left: 6 (11 enodes)
1552126191.783 * * [simplify]: iters left: 5 (39 enodes)
1552126191.795 * * [simplify]: iters left: 4 (49 enodes)
1552126191.803 * * [simplify]: iters left: 3 (55 enodes)
1552126191.810 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126191.810 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126191.810 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126191.810 * * [simplify]: Extracting #3: cost 18 inf + 1
1552126191.810 * * [simplify]: Extracting #4: cost 15 inf + 211
1552126191.810 * * [simplify]: Extracting #5: cost 3 inf + 1208
1552126191.811 * * [simplify]: Extracting #6: cost 0 inf + 2490
1552126191.811 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- k) 2)))
1552126191.811 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow (* (* n 2) PI) 1/2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- k) 2)))))
1552126191.811 * * * * [progress]: [ 111 / 132 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 (pow (* (* n 2) PI) 1/2))) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))))>
1552126191.811 * [simplify]: Simplifying (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))
1552126191.811 * * [simplify]: iters left: 6 (11 enodes)
1552126191.814 * * [simplify]: iters left: 5 (39 enodes)
1552126191.820 * * [simplify]: iters left: 4 (49 enodes)
1552126191.826 * * [simplify]: iters left: 3 (55 enodes)
1552126191.837 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126191.837 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126191.837 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126191.837 * * [simplify]: Extracting #3: cost 18 inf + 1
1552126191.837 * * [simplify]: Extracting #4: cost 15 inf + 211
1552126191.838 * * [simplify]: Extracting #5: cost 3 inf + 1208
1552126191.838 * * [simplify]: Extracting #6: cost 0 inf + 2490
1552126191.839 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- k) 2)))
1552126191.839 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow (* (* n 2) PI) 1/2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- k) 2)))))
1552126191.839 * * * * [progress]: [ 112 / 132 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
1552126191.840 * [simplify]: Simplifying (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))
1552126191.840 * * [simplify]: iters left: 6 (9 enodes)
1552126191.844 * * [simplify]: iters left: 5 (29 enodes)
1552126191.853 * * [simplify]: iters left: 4 (34 enodes)
1552126191.865 * * [simplify]: iters left: 3 (36 enodes)
1552126191.875 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126191.875 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126191.875 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126191.875 * * [simplify]: Extracting #3: cost 11 inf + 2
1552126191.875 * * [simplify]: Extracting #4: cost 12 inf + 85
1552126191.876 * * [simplify]: Extracting #5: cost 9 inf + 251
1552126191.876 * * [simplify]: Extracting #6: cost 4 inf + 793
1552126191.876 * * [simplify]: Extracting #7: cost 0 inf + 1918
1552126191.877 * [simplify]: Simplified to (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))
1552126191.877 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))
1552126191.877 * * * * [progress]: [ 113 / 132 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 (* (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)))))))>
1552126191.878 * [simplify]: Simplifying (/ (sqrt k) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1552126191.878 * * [simplify]: iters left: 6 (13 enodes)
1552126191.884 * * [simplify]: iters left: 5 (45 enodes)
1552126191.898 * * [simplify]: iters left: 4 (58 enodes)
1552126191.915 * * [simplify]: iters left: 3 (65 enodes)
1552126191.927 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126191.927 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126191.927 * * [simplify]: Extracting #2: cost 8 inf + 0
1552126191.927 * * [simplify]: Extracting #3: cost 10 inf + 1
1552126191.927 * * [simplify]: Extracting #4: cost 19 inf + 83
1552126191.927 * * [simplify]: Extracting #5: cost 20 inf + 129
1552126191.927 * * [simplify]: Extracting #6: cost 11 inf + 711
1552126191.928 * * [simplify]: Extracting #7: cost 1 inf + 3196
1552126191.928 * * [simplify]: Extracting #8: cost 0 inf + 3731
1552126191.929 * [simplify]: Simplified to (/ (sqrt k) (cbrt (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))
1552126191.929 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) (/ (sqrt k) (cbrt (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))))
1552126191.929 * * * * [progress]: [ 114 / 132 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1552126191.929 * [simplify]: Simplifying (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1552126191.929 * * [simplify]: iters left: 6 (13 enodes)
1552126191.933 * * [simplify]: iters left: 5 (45 enodes)
1552126191.939 * * [simplify]: iters left: 4 (58 enodes)
1552126191.948 * * [simplify]: iters left: 3 (65 enodes)
1552126191.960 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126191.960 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126191.960 * * [simplify]: Extracting #2: cost 8 inf + 0
1552126191.960 * * [simplify]: Extracting #3: cost 10 inf + 1
1552126191.961 * * [simplify]: Extracting #4: cost 19 inf + 83
1552126191.961 * * [simplify]: Extracting #5: cost 20 inf + 129
1552126191.961 * * [simplify]: Extracting #6: cost 11 inf + 711
1552126191.962 * * [simplify]: Extracting #7: cost 1 inf + 3076
1552126191.963 * * [simplify]: Extracting #8: cost 0 inf + 3571
1552126191.964 * [simplify]: Simplified to (/ (sqrt k) (sqrt (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))
1552126191.964 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))))
1552126191.964 * * * * [progress]: [ 115 / 132 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 1)) (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1552126191.965 * [simplify]: Simplifying (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
1552126191.965 * * [simplify]: iters left: 6 (12 enodes)
1552126191.971 * * [simplify]: iters left: 5 (42 enodes)
1552126191.984 * * [simplify]: iters left: 4 (55 enodes)
1552126192.002 * * [simplify]: iters left: 3 (62 enodes)
1552126192.018 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126192.018 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126192.019 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126192.019 * * [simplify]: Extracting #3: cost 19 inf + 1
1552126192.019 * * [simplify]: Extracting #4: cost 20 inf + 46
1552126192.019 * * [simplify]: Extracting #5: cost 12 inf + 504
1552126192.020 * * [simplify]: Extracting #6: cost 1 inf + 2206
1552126192.021 * * [simplify]: Extracting #7: cost 0 inf + 2661
1552126192.021 * [simplify]: Simplified to (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))
1552126192.021 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 1)) (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))))
1552126192.022 * * * * [progress]: [ 116 / 132 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 1) (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1552126192.022 * [simplify]: Simplifying (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
1552126192.022 * * [simplify]: iters left: 6 (12 enodes)
1552126192.028 * * [simplify]: iters left: 5 (42 enodes)
1552126192.041 * * [simplify]: iters left: 4 (55 enodes)
1552126192.056 * * [simplify]: iters left: 3 (62 enodes)
1552126192.072 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126192.073 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126192.073 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126192.073 * * [simplify]: Extracting #3: cost 19 inf + 1
1552126192.073 * * [simplify]: Extracting #4: cost 20 inf + 46
1552126192.073 * * [simplify]: Extracting #5: cost 12 inf + 504
1552126192.074 * * [simplify]: Extracting #6: cost 1 inf + 2206
1552126192.075 * * [simplify]: Extracting #7: cost 0 inf + 2661
1552126192.075 * [simplify]: Simplified to (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))
1552126192.075 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 1) (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))))
1552126192.076 * * * * [progress]: [ 117 / 132 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1552126192.076 * [simplify]: Simplifying (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
1552126192.076 * * [simplify]: iters left: 6 (12 enodes)
1552126192.082 * * [simplify]: iters left: 5 (44 enodes)
1552126192.096 * * [simplify]: iters left: 4 (59 enodes)
1552126192.113 * * [simplify]: iters left: 3 (66 enodes)
1552126192.131 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126192.131 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126192.131 * * [simplify]: Extracting #2: cost 6 inf + 1
1552126192.131 * * [simplify]: Extracting #3: cost 17 inf + 1
1552126192.131 * * [simplify]: Extracting #4: cost 15 inf + 297
1552126192.132 * * [simplify]: Extracting #5: cost 8 inf + 673
1552126192.133 * * [simplify]: Extracting #6: cost 1 inf + 2127
1552126192.133 * * [simplify]: Extracting #7: cost 0 inf + 2502
1552126192.134 * [simplify]: Simplified to (/ 1 (pow (* n (* PI 2)) (- 1/2 (/ k 2))))
1552126192.134 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* PI 2)) (- 1/2 (/ k 2))))))
1552126192.134 * * * * [progress]: [ 118 / 132 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) 1/2))) (pow (* (* n 2) PI) (/ k 2))))>
1552126192.135 * [simplify]: Simplifying (pow (* (* n 2) PI) (/ k 2))
1552126192.135 * * [simplify]: iters left: 5 (8 enodes)
1552126192.139 * * [simplify]: iters left: 4 (28 enodes)
1552126192.150 * * [simplify]: iters left: 3 (36 enodes)
1552126192.161 * * [simplify]: iters left: 2 (41 enodes)
1552126192.171 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126192.172 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126192.172 * * [simplify]: Extracting #2: cost 13 inf + 0
1552126192.172 * * [simplify]: Extracting #3: cost 12 inf + 4
1552126192.172 * * [simplify]: Extracting #4: cost 3 inf + 756
1552126192.173 * * [simplify]: Extracting #5: cost 0 inf + 1174
1552126192.173 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2))
1552126192.173 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) 1/2))) (pow (* (* n 2) PI) (/ k 2))))
1552126192.173 * * * * [progress]: [ 119 / 132 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))>
1552126192.174 * [simplify]: Simplifying (pow (* (* n 2) PI) (- 1/2 (/ k 2)))
1552126192.174 * * [simplify]: iters left: 5 (10 enodes)
1552126192.179 * * [simplify]: iters left: 4 (36 enodes)
1552126192.191 * * [simplify]: iters left: 3 (49 enodes)
1552126192.205 * * [simplify]: iters left: 2 (56 enodes)
1552126192.219 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126192.219 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126192.219 * * [simplify]: Extracting #2: cost 15 inf + 0
1552126192.219 * * [simplify]: Extracting #3: cost 18 inf + 4
1552126192.220 * * [simplify]: Extracting #4: cost 7 inf + 630
1552126192.220 * * [simplify]: Extracting #5: cost 0 inf + 1669
1552126192.221 * [simplify]: Simplified to (pow (* (* n 2) PI) (- 1/2 (/ k 2)))
1552126192.221 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1552126192.221 * * * * [progress]: [ 120 / 132 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1552126192.221 * * * * [progress]: [ 121 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 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))))))))>
1552126192.221 * [simplify]: Simplifying (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)))))
1552126192.222 * * [simplify]: iters left: 6 (37 enodes)
1552126192.243 * * [simplify]: iters left: 5 (182 enodes)
1552126192.313 * * [simplify]: iters left: 4 (487 enodes)
1552126192.536 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126192.536 * * [simplify]: Extracting #1: cost 74 inf + 0
1552126192.537 * * [simplify]: Extracting #2: cost 339 inf + 3
1552126192.540 * * [simplify]: Extracting #3: cost 496 inf + 559
1552126192.552 * * [simplify]: Extracting #4: cost 330 inf + 53115
1552126192.604 * * [simplify]: Extracting #5: cost 70 inf + 174349
1552126192.670 * * [simplify]: Extracting #6: cost 0 inf + 222643
1552126192.750 * * [simplify]: Extracting #7: cost 0 inf + 219647
1552126192.827 * * [simplify]: Extracting #8: cost 0 inf + 219582
1552126192.898 * [simplify]: Simplified to (fma -1/2 (* (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (+ (log n) (log (* PI 2)))) k) (fma (* 1/4 (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k k) (log n)))) (log (* PI 2)) (fma (* (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) 1/8) (* k k)) (* (log (* PI 2)) (log (* PI 2))) (fma (* (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) 1/8) (* k k)) (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))))
1552126192.898 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (fma -1/2 (* (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (+ (log n) (log (* PI 2)))) k) (fma (* 1/4 (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k k) (log n)))) (log (* PI 2)) (fma (* (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) 1/8) (* k k)) (* (log (* PI 2)) (log (* PI 2))) (fma (* (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) 1/8) (* k k)) (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/2)))))))))
1552126192.898 * * * * [progress]: [ 122 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))))))>
1552126192.899 * [simplify]: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))
1552126192.899 * * [simplify]: iters left: 6 (15 enodes)
1552126192.904 * * [simplify]: iters left: 5 (63 enodes)
1552126192.916 * * [simplify]: iters left: 4 (108 enodes)
1552126192.956 * * [simplify]: iters left: 3 (268 enodes)
1552126193.061 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126193.061 * * [simplify]: Extracting #1: cost 16 inf + 0
1552126193.061 * * [simplify]: Extracting #2: cost 116 inf + 0
1552126193.062 * * [simplify]: Extracting #3: cost 211 inf + 668
1552126193.064 * * [simplify]: Extracting #4: cost 149 inf + 9715
1552126193.075 * * [simplify]: Extracting #5: cost 42 inf + 34460
1552126193.094 * * [simplify]: Extracting #6: cost 0 inf + 46240
1552126193.112 * * [simplify]: Extracting #7: cost 0 inf + 45870
1552126193.131 * [simplify]: Simplified to (pow (* (* 2 PI) n) (fma k -1/2 1/2))
1552126193.131 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* 2 PI) n) (fma k -1/2 1/2)))))
1552126193.131 * * * * [progress]: [ 123 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))>
1552126193.131 * [simplify]: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
1552126193.132 * * [simplify]: iters left: 6 (15 enodes)
1552126193.145 * * [simplify]: iters left: 5 (60 enodes)
1552126193.166 * * [simplify]: iters left: 4 (111 enodes)
1552126193.206 * * [simplify]: iters left: 3 (302 enodes)
1552126193.354 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126193.354 * * [simplify]: Extracting #1: cost 16 inf + 0
1552126193.355 * * [simplify]: Extracting #2: cost 144 inf + 0
1552126193.357 * * [simplify]: Extracting #3: cost 312 inf + 558
1552126193.361 * * [simplify]: Extracting #4: cost 279 inf + 4663
1552126193.375 * * [simplify]: Extracting #5: cost 100 inf + 51858
1552126193.405 * * [simplify]: Extracting #6: cost 2 inf + 80601
1552126193.435 * * [simplify]: Extracting #7: cost 0 inf + 76621
1552126193.459 * * [simplify]: Extracting #8: cost 0 inf + 76306
1552126193.476 * [simplify]: Simplified to (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))
1552126193.476 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)))))
1552126193.476 * * * * [progress]: [ 124 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))))>
1552126193.476 * [simplify]: Simplifying (* 2 (* n PI))
1552126193.476 * * [simplify]: iters left: 4 (5 enodes)
1552126193.478 * * [simplify]: iters left: 3 (19 enodes)
1552126193.481 * * [simplify]: iters left: 2 (27 enodes)
1552126193.489 * * [simplify]: iters left: 1 (32 enodes)
1552126193.497 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126193.497 * * [simplify]: Extracting #1: cost 8 inf + 0
1552126193.497 * * [simplify]: Extracting #2: cost 7 inf + 45
1552126193.497 * * [simplify]: Extracting #3: cost 0 inf + 421
1552126193.498 * [simplify]: Simplified to (* (* PI n) 2)
1552126193.498 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))
1552126193.498 * * * * [progress]: [ 125 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))))>
1552126193.498 * [simplify]: Simplifying (* 2 (* n PI))
1552126193.498 * * [simplify]: iters left: 4 (5 enodes)
1552126193.501 * * [simplify]: iters left: 3 (19 enodes)
1552126193.506 * * [simplify]: iters left: 2 (27 enodes)
1552126193.510 * * [simplify]: iters left: 1 (32 enodes)
1552126193.514 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126193.514 * * [simplify]: Extracting #1: cost 8 inf + 0
1552126193.514 * * [simplify]: Extracting #2: cost 7 inf + 45
1552126193.514 * * [simplify]: Extracting #3: cost 0 inf + 421
1552126193.514 * [simplify]: Simplified to (* (* PI n) 2)
1552126193.514 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))
1552126193.514 * * * * [progress]: [ 126 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))))>
1552126193.514 * [simplify]: Simplifying (* 2 (* n PI))
1552126193.514 * * [simplify]: iters left: 4 (5 enodes)
1552126193.516 * * [simplify]: iters left: 3 (19 enodes)
1552126193.518 * * [simplify]: iters left: 2 (27 enodes)
1552126193.522 * * [simplify]: iters left: 1 (32 enodes)
1552126193.526 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126193.526 * * [simplify]: Extracting #1: cost 8 inf + 0
1552126193.527 * * [simplify]: Extracting #2: cost 7 inf + 45
1552126193.527 * * [simplify]: Extracting #3: cost 0 inf + 421
1552126193.527 * [simplify]: Simplified to (* (* PI n) 2)
1552126193.527 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))
1552126193.527 * * * * [progress]: [ 127 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (+ (* +nan.0 (/ (* n (* (sqrt 1/2) k)) (pow PI 2))) (- (+ (* +nan.0 (/ (* (log n) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2)))) PI)) (- (* +nan.0 (/ (* (sqrt 1/2) k) PI)))))))))))))>
1552126193.527 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (+ (* +nan.0 (/ (* n (* (sqrt 1/2) k)) (pow PI 2))) (- (+ (* +nan.0 (/ (* (log n) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2)))) PI)) (- (* +nan.0 (/ (* (sqrt 1/2) k) PI)))))))))))
1552126193.527 * [simplify]: Simplified (2 2) to (λ (k n) (/ 1 +nan.0))
1552126193.527 * * * * [progress]: [ 128 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))))))))))))>
1552126193.527 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))))))))))
1552126193.528 * [simplify]: Simplified (2 2) to (λ (k n) (/ 1 +nan.0))
1552126193.528 * * * * [progress]: [ 129 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))))))))>
1552126193.528 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))))))
1552126193.528 * [simplify]: Simplified (2 2) to (λ (k n) (/ 1 +nan.0))
1552126193.528 * * * * [progress]: [ 130 / 132 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))))>
1552126193.528 * [simplify]: Simplifying (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2)))))))))))))
1552126193.528 * [simplify]: Simplified (2) to (λ (k n) +nan.0)
1552126193.528 * * * * [progress]: [ 131 / 132 ] 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)))))))))>
1552126193.528 * [simplify]: Simplifying (- (+ (* +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))))))))
1552126193.528 * [simplify]: Simplified (2) to (λ (k n) +nan.0)
1552126193.529 * * * * [progress]: [ 132 / 132 ] 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))))))))))))>
1552126193.529 * [simplify]: Simplifying (- (+ (* +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)))))))))))
1552126193.529 * [simplify]: Simplified (2) to (λ (k n) +nan.0)
1552126193.529 * * * [progress]: adding candidates to table
1552126194.930 * * [progress]: iteration 3 / 4
1552126194.930 * * * [progress]: picking best candidate
1552126194.977 * * * * [pick]: Picked  #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1552126194.977 * * * [progress]: localizing error
1552126194.993 * * * [progress]: generating rewritten candidates
1552126194.993 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2)
1552126194.999 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 1)
1552126195.005 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2)
1552126195.018 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
1552126195.030 * * * [progress]: generating series expansions
1552126195.031 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2)
1552126195.031 * [backup-simplify]: Simplify (pow (* (* n 2) PI) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))
1552126195.031 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0
1552126195.031 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1552126195.031 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1552126195.031 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1552126195.031 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1552126195.031 * [taylor]: Taking taylor expansion of 1/2 in k
1552126195.031 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.031 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1552126195.031 * [taylor]: Taking taylor expansion of 1/2 in k
1552126195.031 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.031 * [taylor]: Taking taylor expansion of k in k
1552126195.031 * [backup-simplify]: Simplify 0 into 0
1552126195.031 * [backup-simplify]: Simplify 1 into 1
1552126195.031 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1552126195.031 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1552126195.031 * [taylor]: Taking taylor expansion of 2 in k
1552126195.031 * [backup-simplify]: Simplify 2 into 2
1552126195.031 * [taylor]: Taking taylor expansion of (* n PI) in k
1552126195.031 * [taylor]: Taking taylor expansion of n in k
1552126195.031 * [backup-simplify]: Simplify n into n
1552126195.031 * [taylor]: Taking taylor expansion of PI in k
1552126195.031 * [backup-simplify]: Simplify PI into PI
1552126195.031 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1552126195.031 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1552126195.032 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1552126195.032 * [backup-simplify]: Simplify (* 1/2 0) into 0
1552126195.033 * [backup-simplify]: Simplify (- 0) into 0
1552126195.033 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1552126195.033 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1552126195.033 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1552126195.034 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1552126195.034 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1552126195.034 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1552126195.034 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1552126195.034 * [taylor]: Taking taylor expansion of 1/2 in n
1552126195.034 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.034 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
1552126195.034 * [taylor]: Taking taylor expansion of 1/2 in n
1552126195.034 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.034 * [taylor]: Taking taylor expansion of k in n
1552126195.034 * [backup-simplify]: Simplify k into k
1552126195.034 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1552126195.034 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1552126195.034 * [taylor]: Taking taylor expansion of 2 in n
1552126195.034 * [backup-simplify]: Simplify 2 into 2
1552126195.034 * [taylor]: Taking taylor expansion of (* n PI) in n
1552126195.034 * [taylor]: Taking taylor expansion of n in n
1552126195.034 * [backup-simplify]: Simplify 0 into 0
1552126195.034 * [backup-simplify]: Simplify 1 into 1
1552126195.034 * [taylor]: Taking taylor expansion of PI in n
1552126195.034 * [backup-simplify]: Simplify PI into PI
1552126195.034 * [backup-simplify]: Simplify (* 0 PI) into 0
1552126195.035 * [backup-simplify]: Simplify (* 2 0) into 0
1552126195.036 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552126195.038 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1552126195.039 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552126195.039 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
1552126195.039 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1552126195.039 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1552126195.041 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552126195.042 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
1552126195.043 * [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)))))
1552126195.043 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1552126195.043 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1552126195.043 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1552126195.043 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1552126195.043 * [taylor]: Taking taylor expansion of 1/2 in n
1552126195.043 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.043 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
1552126195.043 * [taylor]: Taking taylor expansion of 1/2 in n
1552126195.043 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.043 * [taylor]: Taking taylor expansion of k in n
1552126195.043 * [backup-simplify]: Simplify k into k
1552126195.043 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1552126195.043 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1552126195.043 * [taylor]: Taking taylor expansion of 2 in n
1552126195.043 * [backup-simplify]: Simplify 2 into 2
1552126195.043 * [taylor]: Taking taylor expansion of (* n PI) in n
1552126195.043 * [taylor]: Taking taylor expansion of n in n
1552126195.043 * [backup-simplify]: Simplify 0 into 0
1552126195.043 * [backup-simplify]: Simplify 1 into 1
1552126195.043 * [taylor]: Taking taylor expansion of PI in n
1552126195.043 * [backup-simplify]: Simplify PI into PI
1552126195.044 * [backup-simplify]: Simplify (* 0 PI) into 0
1552126195.044 * [backup-simplify]: Simplify (* 2 0) into 0
1552126195.046 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552126195.047 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1552126195.048 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552126195.048 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
1552126195.048 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1552126195.048 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1552126195.050 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552126195.051 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
1552126195.052 * [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)))))
1552126195.053 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
1552126195.053 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
1552126195.053 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1552126195.053 * [taylor]: Taking taylor expansion of 1/2 in k
1552126195.053 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.053 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1552126195.053 * [taylor]: Taking taylor expansion of 1/2 in k
1552126195.053 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.053 * [taylor]: Taking taylor expansion of k in k
1552126195.053 * [backup-simplify]: Simplify 0 into 0
1552126195.053 * [backup-simplify]: Simplify 1 into 1
1552126195.053 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1552126195.053 * [taylor]: Taking taylor expansion of (log n) in k
1552126195.053 * [taylor]: Taking taylor expansion of n in k
1552126195.053 * [backup-simplify]: Simplify n into n
1552126195.053 * [backup-simplify]: Simplify (log n) into (log n)
1552126195.053 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1552126195.053 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1552126195.053 * [taylor]: Taking taylor expansion of 2 in k
1552126195.053 * [backup-simplify]: Simplify 2 into 2
1552126195.053 * [taylor]: Taking taylor expansion of PI in k
1552126195.053 * [backup-simplify]: Simplify PI into PI
1552126195.054 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552126195.055 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552126195.055 * [backup-simplify]: Simplify (* 1/2 0) into 0
1552126195.055 * [backup-simplify]: Simplify (- 0) into 0
1552126195.056 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1552126195.062 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552126195.063 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
1552126195.063 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1552126195.064 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1552126195.065 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1552126195.065 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1552126195.066 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1552126195.067 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
1552126195.067 * [backup-simplify]: Simplify (- 0) into 0
1552126195.067 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126195.068 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552126195.069 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1552126195.070 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
1552126195.070 * [taylor]: Taking taylor expansion of 0 in k
1552126195.070 * [backup-simplify]: Simplify 0 into 0
1552126195.070 * [backup-simplify]: Simplify 0 into 0
1552126195.070 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1552126195.071 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1552126195.072 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1552126195.072 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126195.072 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1552126195.073 * [backup-simplify]: Simplify (- 1/2) into -1/2
1552126195.073 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1552126195.074 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
1552126195.076 * [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)))))))
1552126195.077 * [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)))))))
1552126195.078 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1552126195.079 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1552126195.080 * [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
1552126195.081 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
1552126195.081 * [backup-simplify]: Simplify (- 0) into 0
1552126195.081 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126195.082 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552126195.083 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1552126195.085 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1552126195.085 * [taylor]: Taking taylor expansion of 0 in k
1552126195.085 * [backup-simplify]: Simplify 0 into 0
1552126195.085 * [backup-simplify]: Simplify 0 into 0
1552126195.085 * [backup-simplify]: Simplify 0 into 0
1552126195.086 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
1552126195.087 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1552126195.088 * [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
1552126195.089 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126195.089 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1552126195.089 * [backup-simplify]: Simplify (- 0) into 0
1552126195.090 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126195.092 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1552126195.095 * [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)))))
1552126195.100 * [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)))))
1552126195.109 * [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)))))
1552126195.110 * [backup-simplify]: Simplify (pow (* (* (/ 1 n) 2) PI) (- 1/2 (/ (/ 1 k) 2))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
1552126195.110 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0
1552126195.110 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
1552126195.110 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1552126195.110 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1552126195.110 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1552126195.110 * [taylor]: Taking taylor expansion of 1/2 in k
1552126195.110 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.110 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1552126195.110 * [taylor]: Taking taylor expansion of 1/2 in k
1552126195.110 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.110 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552126195.110 * [taylor]: Taking taylor expansion of k in k
1552126195.110 * [backup-simplify]: Simplify 0 into 0
1552126195.110 * [backup-simplify]: Simplify 1 into 1
1552126195.110 * [backup-simplify]: Simplify (/ 1 1) into 1
1552126195.110 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
1552126195.111 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
1552126195.111 * [taylor]: Taking taylor expansion of 2 in k
1552126195.111 * [backup-simplify]: Simplify 2 into 2
1552126195.111 * [taylor]: Taking taylor expansion of (/ PI n) in k
1552126195.111 * [taylor]: Taking taylor expansion of PI in k
1552126195.111 * [backup-simplify]: Simplify PI into PI
1552126195.111 * [taylor]: Taking taylor expansion of n in k
1552126195.111 * [backup-simplify]: Simplify n into n
1552126195.111 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1552126195.111 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1552126195.111 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1552126195.111 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1552126195.112 * [backup-simplify]: Simplify (- 1/2) into -1/2
1552126195.112 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1552126195.112 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1552126195.112 * [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))))
1552126195.113 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1552126195.113 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1552126195.113 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1552126195.113 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1552126195.113 * [taylor]: Taking taylor expansion of 1/2 in n
1552126195.113 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.113 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552126195.113 * [taylor]: Taking taylor expansion of 1/2 in n
1552126195.113 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.113 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552126195.113 * [taylor]: Taking taylor expansion of k in n
1552126195.113 * [backup-simplify]: Simplify k into k
1552126195.113 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552126195.113 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1552126195.113 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1552126195.113 * [taylor]: Taking taylor expansion of 2 in n
1552126195.113 * [backup-simplify]: Simplify 2 into 2
1552126195.113 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552126195.113 * [taylor]: Taking taylor expansion of PI in n
1552126195.113 * [backup-simplify]: Simplify PI into PI
1552126195.113 * [taylor]: Taking taylor expansion of n in n
1552126195.113 * [backup-simplify]: Simplify 0 into 0
1552126195.113 * [backup-simplify]: Simplify 1 into 1
1552126195.114 * [backup-simplify]: Simplify (/ PI 1) into PI
1552126195.114 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552126195.115 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552126195.115 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552126195.115 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1552126195.115 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1552126195.117 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552126195.118 * [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)))
1552126195.119 * [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))))
1552126195.119 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1552126195.119 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1552126195.119 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1552126195.119 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1552126195.119 * [taylor]: Taking taylor expansion of 1/2 in n
1552126195.119 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.119 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552126195.119 * [taylor]: Taking taylor expansion of 1/2 in n
1552126195.119 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.119 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552126195.119 * [taylor]: Taking taylor expansion of k in n
1552126195.119 * [backup-simplify]: Simplify k into k
1552126195.119 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552126195.119 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1552126195.119 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1552126195.119 * [taylor]: Taking taylor expansion of 2 in n
1552126195.119 * [backup-simplify]: Simplify 2 into 2
1552126195.119 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552126195.119 * [taylor]: Taking taylor expansion of PI in n
1552126195.119 * [backup-simplify]: Simplify PI into PI
1552126195.119 * [taylor]: Taking taylor expansion of n in n
1552126195.119 * [backup-simplify]: Simplify 0 into 0
1552126195.119 * [backup-simplify]: Simplify 1 into 1
1552126195.120 * [backup-simplify]: Simplify (/ PI 1) into PI
1552126195.120 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552126195.121 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552126195.122 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552126195.122 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1552126195.122 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1552126195.123 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552126195.124 * [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)))
1552126195.125 * [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))))
1552126195.125 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
1552126195.125 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
1552126195.126 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1552126195.126 * [taylor]: Taking taylor expansion of 1/2 in k
1552126195.126 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.126 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1552126195.126 * [taylor]: Taking taylor expansion of 1/2 in k
1552126195.126 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.126 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552126195.126 * [taylor]: Taking taylor expansion of k in k
1552126195.126 * [backup-simplify]: Simplify 0 into 0
1552126195.126 * [backup-simplify]: Simplify 1 into 1
1552126195.126 * [backup-simplify]: Simplify (/ 1 1) into 1
1552126195.126 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1552126195.126 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1552126195.126 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1552126195.126 * [taylor]: Taking taylor expansion of 2 in k
1552126195.126 * [backup-simplify]: Simplify 2 into 2
1552126195.126 * [taylor]: Taking taylor expansion of PI in k
1552126195.126 * [backup-simplify]: Simplify PI into PI
1552126195.127 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552126195.128 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552126195.128 * [taylor]: Taking taylor expansion of (log n) in k
1552126195.128 * [taylor]: Taking taylor expansion of n in k
1552126195.128 * [backup-simplify]: Simplify n into n
1552126195.128 * [backup-simplify]: Simplify (log n) into (log n)
1552126195.128 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1552126195.129 * [backup-simplify]: Simplify (- 1/2) into -1/2
1552126195.129 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1552126195.129 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1552126195.130 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1552126195.131 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1552126195.132 * [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))))
1552126195.134 * [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))))
1552126195.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1552126195.136 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1552126195.137 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1552126195.138 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1552126195.138 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1552126195.138 * [backup-simplify]: Simplify (- 0) into 0
1552126195.139 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126195.140 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552126195.141 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1552126195.143 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1552126195.143 * [taylor]: Taking taylor expansion of 0 in k
1552126195.143 * [backup-simplify]: Simplify 0 into 0
1552126195.144 * [backup-simplify]: Simplify 0 into 0
1552126195.144 * [backup-simplify]: Simplify 0 into 0
1552126195.145 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552126195.146 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1552126195.149 * [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
1552126195.149 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1552126195.150 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1552126195.151 * [backup-simplify]: Simplify (- 0) into 0
1552126195.151 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126195.152 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552126195.154 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
1552126195.157 * [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
1552126195.157 * [taylor]: Taking taylor expansion of 0 in k
1552126195.157 * [backup-simplify]: Simplify 0 into 0
1552126195.157 * [backup-simplify]: Simplify 0 into 0
1552126195.157 * [backup-simplify]: Simplify 0 into 0
1552126195.157 * [backup-simplify]: Simplify 0 into 0
1552126195.158 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552126195.159 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1552126195.165 * [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
1552126195.166 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1552126195.167 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
1552126195.167 * [backup-simplify]: Simplify (- 0) into 0
1552126195.168 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126195.169 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552126195.171 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
1552126195.174 * [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
1552126195.174 * [taylor]: Taking taylor expansion of 0 in k
1552126195.174 * [backup-simplify]: Simplify 0 into 0
1552126195.174 * [backup-simplify]: Simplify 0 into 0
1552126195.175 * [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)))))
1552126195.175 * [backup-simplify]: Simplify (pow (* (* (/ 1 (- n)) 2) PI) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))
1552126195.175 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0
1552126195.175 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1552126195.175 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
1552126195.175 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
1552126195.175 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1552126195.175 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1552126195.176 * [taylor]: Taking taylor expansion of 1/2 in k
1552126195.176 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.176 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552126195.176 * [taylor]: Taking taylor expansion of k in k
1552126195.176 * [backup-simplify]: Simplify 0 into 0
1552126195.176 * [backup-simplify]: Simplify 1 into 1
1552126195.176 * [backup-simplify]: Simplify (/ 1 1) into 1
1552126195.176 * [taylor]: Taking taylor expansion of 1/2 in k
1552126195.176 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.176 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
1552126195.176 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
1552126195.176 * [taylor]: Taking taylor expansion of -2 in k
1552126195.176 * [backup-simplify]: Simplify -2 into -2
1552126195.176 * [taylor]: Taking taylor expansion of (/ PI n) in k
1552126195.176 * [taylor]: Taking taylor expansion of PI in k
1552126195.176 * [backup-simplify]: Simplify PI into PI
1552126195.176 * [taylor]: Taking taylor expansion of n in k
1552126195.176 * [backup-simplify]: Simplify n into n
1552126195.176 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1552126195.176 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1552126195.177 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1552126195.177 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1552126195.177 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1552126195.177 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1552126195.178 * [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)))
1552126195.178 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1552126195.178 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1552126195.178 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1552126195.178 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1552126195.178 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552126195.178 * [taylor]: Taking taylor expansion of 1/2 in n
1552126195.178 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.178 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552126195.178 * [taylor]: Taking taylor expansion of k in n
1552126195.178 * [backup-simplify]: Simplify k into k
1552126195.178 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552126195.178 * [taylor]: Taking taylor expansion of 1/2 in n
1552126195.178 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.178 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1552126195.178 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1552126195.178 * [taylor]: Taking taylor expansion of -2 in n
1552126195.178 * [backup-simplify]: Simplify -2 into -2
1552126195.178 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552126195.178 * [taylor]: Taking taylor expansion of PI in n
1552126195.178 * [backup-simplify]: Simplify PI into PI
1552126195.178 * [taylor]: Taking taylor expansion of n in n
1552126195.178 * [backup-simplify]: Simplify 0 into 0
1552126195.178 * [backup-simplify]: Simplify 1 into 1
1552126195.178 * [backup-simplify]: Simplify (/ PI 1) into PI
1552126195.178 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552126195.179 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1552126195.179 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552126195.179 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1552126195.180 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552126195.181 * [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)))
1552126195.185 * [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))))
1552126195.186 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1552126195.186 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1552126195.186 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1552126195.186 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1552126195.186 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552126195.186 * [taylor]: Taking taylor expansion of 1/2 in n
1552126195.186 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.186 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552126195.186 * [taylor]: Taking taylor expansion of k in n
1552126195.186 * [backup-simplify]: Simplify k into k
1552126195.186 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552126195.186 * [taylor]: Taking taylor expansion of 1/2 in n
1552126195.186 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.186 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1552126195.186 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1552126195.186 * [taylor]: Taking taylor expansion of -2 in n
1552126195.186 * [backup-simplify]: Simplify -2 into -2
1552126195.186 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552126195.186 * [taylor]: Taking taylor expansion of PI in n
1552126195.186 * [backup-simplify]: Simplify PI into PI
1552126195.186 * [taylor]: Taking taylor expansion of n in n
1552126195.186 * [backup-simplify]: Simplify 0 into 0
1552126195.186 * [backup-simplify]: Simplify 1 into 1
1552126195.186 * [backup-simplify]: Simplify (/ PI 1) into PI
1552126195.187 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552126195.188 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1552126195.188 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552126195.188 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1552126195.189 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552126195.189 * [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)))
1552126195.190 * [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))))
1552126195.190 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
1552126195.190 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
1552126195.190 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1552126195.190 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1552126195.190 * [taylor]: Taking taylor expansion of 1/2 in k
1552126195.190 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.190 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552126195.190 * [taylor]: Taking taylor expansion of k in k
1552126195.190 * [backup-simplify]: Simplify 0 into 0
1552126195.190 * [backup-simplify]: Simplify 1 into 1
1552126195.191 * [backup-simplify]: Simplify (/ 1 1) into 1
1552126195.191 * [taylor]: Taking taylor expansion of 1/2 in k
1552126195.191 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.191 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
1552126195.191 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
1552126195.191 * [taylor]: Taking taylor expansion of (* -2 PI) in k
1552126195.191 * [taylor]: Taking taylor expansion of -2 in k
1552126195.191 * [backup-simplify]: Simplify -2 into -2
1552126195.191 * [taylor]: Taking taylor expansion of PI in k
1552126195.191 * [backup-simplify]: Simplify PI into PI
1552126195.191 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552126195.192 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1552126195.192 * [taylor]: Taking taylor expansion of (log n) in k
1552126195.192 * [taylor]: Taking taylor expansion of n in k
1552126195.192 * [backup-simplify]: Simplify n into n
1552126195.192 * [backup-simplify]: Simplify (log n) into (log n)
1552126195.192 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1552126195.192 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1552126195.192 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1552126195.193 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
1552126195.193 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
1552126195.194 * [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))))
1552126195.195 * [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))))
1552126195.195 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1552126195.196 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1552126195.197 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1552126195.197 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1552126195.197 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1552126195.198 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126195.198 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552126195.199 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1552126195.200 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1552126195.200 * [taylor]: Taking taylor expansion of 0 in k
1552126195.200 * [backup-simplify]: Simplify 0 into 0
1552126195.200 * [backup-simplify]: Simplify 0 into 0
1552126195.200 * [backup-simplify]: Simplify 0 into 0
1552126195.201 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552126195.202 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1552126195.203 * [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
1552126195.203 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1552126195.204 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1552126195.204 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126195.205 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552126195.207 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
1552126195.209 * [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
1552126195.209 * [taylor]: Taking taylor expansion of 0 in k
1552126195.209 * [backup-simplify]: Simplify 0 into 0
1552126195.209 * [backup-simplify]: Simplify 0 into 0
1552126195.209 * [backup-simplify]: Simplify 0 into 0
1552126195.209 * [backup-simplify]: Simplify 0 into 0
1552126195.210 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552126195.211 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1552126195.217 * [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
1552126195.218 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1552126195.219 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
1552126195.220 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126195.221 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552126195.223 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
1552126195.226 * [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
1552126195.226 * [taylor]: Taking taylor expansion of 0 in k
1552126195.226 * [backup-simplify]: Simplify 0 into 0
1552126195.226 * [backup-simplify]: Simplify 0 into 0
1552126195.227 * [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)))))
1552126195.227 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 1)
1552126195.227 * [backup-simplify]: Simplify (* (* n 2) PI) into (* 2 (* n PI))
1552126195.227 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
1552126195.227 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1552126195.227 * [taylor]: Taking taylor expansion of 2 in n
1552126195.228 * [backup-simplify]: Simplify 2 into 2
1552126195.228 * [taylor]: Taking taylor expansion of (* n PI) in n
1552126195.228 * [taylor]: Taking taylor expansion of n in n
1552126195.228 * [backup-simplify]: Simplify 0 into 0
1552126195.228 * [backup-simplify]: Simplify 1 into 1
1552126195.228 * [taylor]: Taking taylor expansion of PI in n
1552126195.228 * [backup-simplify]: Simplify PI into PI
1552126195.228 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1552126195.228 * [taylor]: Taking taylor expansion of 2 in n
1552126195.228 * [backup-simplify]: Simplify 2 into 2
1552126195.228 * [taylor]: Taking taylor expansion of (* n PI) in n
1552126195.228 * [taylor]: Taking taylor expansion of n in n
1552126195.228 * [backup-simplify]: Simplify 0 into 0
1552126195.228 * [backup-simplify]: Simplify 1 into 1
1552126195.228 * [taylor]: Taking taylor expansion of PI in n
1552126195.228 * [backup-simplify]: Simplify PI into PI
1552126195.228 * [backup-simplify]: Simplify (* 0 PI) into 0
1552126195.229 * [backup-simplify]: Simplify (* 2 0) into 0
1552126195.229 * [backup-simplify]: Simplify 0 into 0
1552126195.231 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552126195.232 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1552126195.232 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552126195.234 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1552126195.235 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1552126195.235 * [backup-simplify]: Simplify 0 into 0
1552126195.236 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1552126195.237 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1552126195.237 * [backup-simplify]: Simplify 0 into 0
1552126195.239 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1552126195.240 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1552126195.240 * [backup-simplify]: Simplify 0 into 0
1552126195.241 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1552126195.243 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
1552126195.243 * [backup-simplify]: Simplify 0 into 0
1552126195.245 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1552126195.246 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
1552126195.246 * [backup-simplify]: Simplify 0 into 0
1552126195.248 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
1552126195.250 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
1552126195.250 * [backup-simplify]: Simplify 0 into 0
1552126195.251 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
1552126195.251 * [backup-simplify]: Simplify (* (* (/ 1 n) 2) PI) into (* 2 (/ PI n))
1552126195.251 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
1552126195.251 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1552126195.251 * [taylor]: Taking taylor expansion of 2 in n
1552126195.251 * [backup-simplify]: Simplify 2 into 2
1552126195.251 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552126195.251 * [taylor]: Taking taylor expansion of PI in n
1552126195.251 * [backup-simplify]: Simplify PI into PI
1552126195.251 * [taylor]: Taking taylor expansion of n in n
1552126195.251 * [backup-simplify]: Simplify 0 into 0
1552126195.251 * [backup-simplify]: Simplify 1 into 1
1552126195.251 * [backup-simplify]: Simplify (/ PI 1) into PI
1552126195.252 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1552126195.252 * [taylor]: Taking taylor expansion of 2 in n
1552126195.252 * [backup-simplify]: Simplify 2 into 2
1552126195.252 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552126195.252 * [taylor]: Taking taylor expansion of PI in n
1552126195.252 * [backup-simplify]: Simplify PI into PI
1552126195.252 * [taylor]: Taking taylor expansion of n in n
1552126195.252 * [backup-simplify]: Simplify 0 into 0
1552126195.252 * [backup-simplify]: Simplify 1 into 1
1552126195.252 * [backup-simplify]: Simplify (/ PI 1) into PI
1552126195.253 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552126195.253 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552126195.254 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1552126195.255 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1552126195.255 * [backup-simplify]: Simplify 0 into 0
1552126195.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552126195.257 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1552126195.257 * [backup-simplify]: Simplify 0 into 0
1552126195.258 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552126195.259 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1552126195.259 * [backup-simplify]: Simplify 0 into 0
1552126195.260 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552126195.261 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1552126195.261 * [backup-simplify]: Simplify 0 into 0
1552126195.262 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552126195.264 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1552126195.264 * [backup-simplify]: Simplify 0 into 0
1552126195.265 * [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
1552126195.267 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1552126195.267 * [backup-simplify]: Simplify 0 into 0
1552126195.267 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
1552126195.267 * [backup-simplify]: Simplify (* (* (/ 1 (- n)) 2) PI) into (* -2 (/ PI n))
1552126195.268 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
1552126195.268 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1552126195.268 * [taylor]: Taking taylor expansion of -2 in n
1552126195.268 * [backup-simplify]: Simplify -2 into -2
1552126195.268 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552126195.268 * [taylor]: Taking taylor expansion of PI in n
1552126195.268 * [backup-simplify]: Simplify PI into PI
1552126195.268 * [taylor]: Taking taylor expansion of n in n
1552126195.268 * [backup-simplify]: Simplify 0 into 0
1552126195.268 * [backup-simplify]: Simplify 1 into 1
1552126195.268 * [backup-simplify]: Simplify (/ PI 1) into PI
1552126195.268 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1552126195.268 * [taylor]: Taking taylor expansion of -2 in n
1552126195.268 * [backup-simplify]: Simplify -2 into -2
1552126195.268 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552126195.268 * [taylor]: Taking taylor expansion of PI in n
1552126195.268 * [backup-simplify]: Simplify PI into PI
1552126195.268 * [taylor]: Taking taylor expansion of n in n
1552126195.268 * [backup-simplify]: Simplify 0 into 0
1552126195.268 * [backup-simplify]: Simplify 1 into 1
1552126195.269 * [backup-simplify]: Simplify (/ PI 1) into PI
1552126195.269 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552126195.270 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552126195.271 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1552126195.271 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1552126195.271 * [backup-simplify]: Simplify 0 into 0
1552126195.272 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552126195.273 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1552126195.273 * [backup-simplify]: Simplify 0 into 0
1552126195.274 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552126195.275 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1552126195.275 * [backup-simplify]: Simplify 0 into 0
1552126195.276 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552126195.276 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1552126195.276 * [backup-simplify]: Simplify 0 into 0
1552126195.277 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552126195.278 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1552126195.278 * [backup-simplify]: Simplify 0 into 0
1552126195.279 * [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
1552126195.280 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1552126195.280 * [backup-simplify]: Simplify 0 into 0
1552126195.280 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
1552126195.280 * * * * [progress]: [ 3 / 4 ] generating series at (2 2)
1552126195.280 * [backup-simplify]: Simplify (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) into (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k))
1552126195.280 * [approximate]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in (k n) around 0
1552126195.280 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in n
1552126195.280 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
1552126195.280 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1552126195.280 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1552126195.280 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1552126195.280 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1552126195.280 * [taylor]: Taking taylor expansion of 1/2 in n
1552126195.280 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.280 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
1552126195.280 * [taylor]: Taking taylor expansion of 1/2 in n
1552126195.280 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.280 * [taylor]: Taking taylor expansion of k in n
1552126195.280 * [backup-simplify]: Simplify k into k
1552126195.280 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1552126195.280 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1552126195.280 * [taylor]: Taking taylor expansion of 2 in n
1552126195.280 * [backup-simplify]: Simplify 2 into 2
1552126195.280 * [taylor]: Taking taylor expansion of (* n PI) in n
1552126195.280 * [taylor]: Taking taylor expansion of n in n
1552126195.280 * [backup-simplify]: Simplify 0 into 0
1552126195.280 * [backup-simplify]: Simplify 1 into 1
1552126195.280 * [taylor]: Taking taylor expansion of PI in n
1552126195.281 * [backup-simplify]: Simplify PI into PI
1552126195.281 * [backup-simplify]: Simplify (* 0 PI) into 0
1552126195.281 * [backup-simplify]: Simplify (* 2 0) into 0
1552126195.282 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552126195.283 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1552126195.283 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552126195.284 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
1552126195.284 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1552126195.284 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1552126195.284 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552126195.285 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
1552126195.286 * [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)))))
1552126195.286 * [backup-simplify]: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) into (/ 1 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))
1552126195.287 * [taylor]: Taking taylor expansion of (sqrt k) in n
1552126195.287 * [taylor]: Taking taylor expansion of k in n
1552126195.287 * [backup-simplify]: Simplify k into k
1552126195.287 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
1552126195.287 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
1552126195.287 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in k
1552126195.287 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
1552126195.287 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1552126195.287 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1552126195.287 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1552126195.287 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1552126195.287 * [taylor]: Taking taylor expansion of 1/2 in k
1552126195.287 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.287 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1552126195.287 * [taylor]: Taking taylor expansion of 1/2 in k
1552126195.287 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.287 * [taylor]: Taking taylor expansion of k in k
1552126195.287 * [backup-simplify]: Simplify 0 into 0
1552126195.287 * [backup-simplify]: Simplify 1 into 1
1552126195.287 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1552126195.287 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1552126195.287 * [taylor]: Taking taylor expansion of 2 in k
1552126195.287 * [backup-simplify]: Simplify 2 into 2
1552126195.287 * [taylor]: Taking taylor expansion of (* n PI) in k
1552126195.287 * [taylor]: Taking taylor expansion of n in k
1552126195.287 * [backup-simplify]: Simplify n into n
1552126195.287 * [taylor]: Taking taylor expansion of PI in k
1552126195.287 * [backup-simplify]: Simplify PI into PI
1552126195.287 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1552126195.287 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1552126195.287 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1552126195.288 * [backup-simplify]: Simplify (* 1/2 0) into 0
1552126195.288 * [backup-simplify]: Simplify (- 0) into 0
1552126195.288 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1552126195.288 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1552126195.288 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1552126195.289 * [backup-simplify]: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2))))
1552126195.289 * [taylor]: Taking taylor expansion of (sqrt k) in k
1552126195.289 * [taylor]: Taking taylor expansion of k in k
1552126195.289 * [backup-simplify]: Simplify 0 into 0
1552126195.289 * [backup-simplify]: Simplify 1 into 1
1552126195.289 * [backup-simplify]: Simplify (sqrt 0) into 0
1552126195.290 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1552126195.290 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in k
1552126195.290 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
1552126195.290 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1552126195.290 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1552126195.290 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1552126195.290 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1552126195.290 * [taylor]: Taking taylor expansion of 1/2 in k
1552126195.290 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.290 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1552126195.290 * [taylor]: Taking taylor expansion of 1/2 in k
1552126195.290 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.290 * [taylor]: Taking taylor expansion of k in k
1552126195.290 * [backup-simplify]: Simplify 0 into 0
1552126195.290 * [backup-simplify]: Simplify 1 into 1
1552126195.290 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1552126195.290 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1552126195.290 * [taylor]: Taking taylor expansion of 2 in k
1552126195.290 * [backup-simplify]: Simplify 2 into 2
1552126195.290 * [taylor]: Taking taylor expansion of (* n PI) in k
1552126195.290 * [taylor]: Taking taylor expansion of n in k
1552126195.290 * [backup-simplify]: Simplify n into n
1552126195.290 * [taylor]: Taking taylor expansion of PI in k
1552126195.290 * [backup-simplify]: Simplify PI into PI
1552126195.290 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1552126195.290 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1552126195.290 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1552126195.291 * [backup-simplify]: Simplify (* 1/2 0) into 0
1552126195.291 * [backup-simplify]: Simplify (- 0) into 0
1552126195.291 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1552126195.291 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1552126195.291 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1552126195.291 * [backup-simplify]: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2))))
1552126195.291 * [taylor]: Taking taylor expansion of (sqrt k) in k
1552126195.291 * [taylor]: Taking taylor expansion of k in k
1552126195.291 * [backup-simplify]: Simplify 0 into 0
1552126195.291 * [backup-simplify]: Simplify 1 into 1
1552126195.292 * [backup-simplify]: Simplify (sqrt 0) into 0
1552126195.292 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1552126195.293 * [backup-simplify]: Simplify (* (sqrt (/ 1 (* PI (* n 2)))) 0) into 0
1552126195.293 * [taylor]: Taking taylor expansion of 0 in n
1552126195.293 * [backup-simplify]: Simplify 0 into 0
1552126195.293 * [backup-simplify]: Simplify 0 into 0
1552126195.293 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0
1552126195.293 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0
1552126195.294 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0
1552126195.294 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1552126195.294 * [backup-simplify]: Simplify (- 1/2) into -1/2
1552126195.295 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1552126195.295 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI)))))
1552126195.295 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1)))) into (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))
1552126195.296 * [backup-simplify]: Simplify (- (+ (* (sqrt (/ 1 (* PI (* n 2)))) (/ (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) (pow (* 2 (* n PI)) 1/2))))) into (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))))
1552126195.297 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (* PI (* n 2)))) +nan.0) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) 0)) into (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))))
1552126195.297 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n
1552126195.297 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n
1552126195.297 * [taylor]: Taking taylor expansion of +nan.0 in n
1552126195.297 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552126195.297 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n
1552126195.297 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n
1552126195.297 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n
1552126195.297 * [taylor]: Taking taylor expansion of (* n PI) in n
1552126195.297 * [taylor]: Taking taylor expansion of n in n
1552126195.297 * [backup-simplify]: Simplify 0 into 0
1552126195.297 * [backup-simplify]: Simplify 1 into 1
1552126195.297 * [taylor]: Taking taylor expansion of PI in n
1552126195.297 * [backup-simplify]: Simplify PI into PI
1552126195.297 * [backup-simplify]: Simplify (* 0 PI) into 0
1552126195.298 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552126195.298 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI)
1552126195.299 * [backup-simplify]: Simplify (sqrt 0) into 0
1552126195.300 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI)
1552126195.300 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n
1552126195.300 * [taylor]: Taking taylor expansion of 1/2 in n
1552126195.300 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.300 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
1552126195.301 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
1552126195.307 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
1552126195.308 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0
1552126195.313 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
1552126195.316 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
1552126195.319 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 1/2) PI))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
1552126195.319 * [backup-simplify]: Simplify 0 into 0
1552126195.322 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1552126195.322 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0
1552126195.323 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0
1552126195.325 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 1)))) 2) into 0
1552126195.327 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1552126195.327 * [backup-simplify]: Simplify (- 0) into 0
1552126195.327 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126195.328 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0
1552126195.329 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2)))
1552126195.332 * [backup-simplify]: Simplify (- (+ (* (sqrt (/ 1 (* PI (* n 2)))) (/ (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) (pow (* 2 (* n PI)) 1/2))) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (/ (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) (pow (* 2 (* n PI)) 1/2))))) into (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (* n PI))))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))))
1552126195.339 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (* PI (* n 2)))) +nan.0) (+ (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) +nan.0) (* (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (* n PI))))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))))))
1552126195.339 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))))) in n
1552126195.339 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))))) in n
1552126195.339 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) in n
1552126195.339 * [taylor]: Taking taylor expansion of +nan.0 in n
1552126195.339 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552126195.339 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))) in n
1552126195.339 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) in n
1552126195.339 * [taylor]: Taking taylor expansion of (sqrt 2) in n
1552126195.339 * [taylor]: Taking taylor expansion of 2 in n
1552126195.339 * [backup-simplify]: Simplify 2 into 2
1552126195.340 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
1552126195.340 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
1552126195.340 * [taylor]: Taking taylor expansion of (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2)) in n
1552126195.340 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1552126195.340 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1552126195.340 * [taylor]: Taking taylor expansion of 2 in n
1552126195.340 * [backup-simplify]: Simplify 2 into 2
1552126195.340 * [taylor]: Taking taylor expansion of (* n PI) in n
1552126195.340 * [taylor]: Taking taylor expansion of n in n
1552126195.341 * [backup-simplify]: Simplify 0 into 0
1552126195.341 * [backup-simplify]: Simplify 1 into 1
1552126195.341 * [taylor]: Taking taylor expansion of PI in n
1552126195.341 * [backup-simplify]: Simplify PI into PI
1552126195.341 * [backup-simplify]: Simplify (* 0 PI) into 0
1552126195.342 * [backup-simplify]: Simplify (* 2 0) into 0
1552126195.343 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552126195.345 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1552126195.346 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552126195.346 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in n
1552126195.346 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n
1552126195.346 * [taylor]: Taking taylor expansion of 1/2 in n
1552126195.346 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.346 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
1552126195.347 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
1552126195.347 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n
1552126195.347 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n
1552126195.347 * [taylor]: Taking taylor expansion of (* n PI) in n
1552126195.347 * [taylor]: Taking taylor expansion of n in n
1552126195.347 * [backup-simplify]: Simplify 0 into 0
1552126195.347 * [backup-simplify]: Simplify 1 into 1
1552126195.347 * [taylor]: Taking taylor expansion of PI in n
1552126195.347 * [backup-simplify]: Simplify PI into PI
1552126195.347 * [backup-simplify]: Simplify (* 0 PI) into 0
1552126195.349 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552126195.349 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI)
1552126195.350 * [backup-simplify]: Simplify (sqrt 0) into 0
1552126195.353 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI)
1552126195.353 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n
1552126195.353 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n
1552126195.353 * [taylor]: Taking taylor expansion of +nan.0 in n
1552126195.353 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552126195.353 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n
1552126195.353 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n
1552126195.353 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n
1552126195.353 * [taylor]: Taking taylor expansion of (* n PI) in n
1552126195.353 * [taylor]: Taking taylor expansion of n in n
1552126195.353 * [backup-simplify]: Simplify 0 into 0
1552126195.353 * [backup-simplify]: Simplify 1 into 1
1552126195.353 * [taylor]: Taking taylor expansion of PI in n
1552126195.353 * [backup-simplify]: Simplify PI into PI
1552126195.353 * [backup-simplify]: Simplify (* 0 PI) into 0
1552126195.355 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552126195.356 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI)
1552126195.356 * [backup-simplify]: Simplify (sqrt 0) into 0
1552126195.358 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI)
1552126195.358 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n
1552126195.358 * [taylor]: Taking taylor expansion of 1/2 in n
1552126195.358 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.358 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
1552126195.359 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
1552126195.361 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552126195.362 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2)
1552126195.364 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (pow (sqrt 1/2) 2)) into (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))
1552126195.366 * [backup-simplify]: Simplify (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) into (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))))
1552126195.368 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552126195.368 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0
1552126195.369 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1552126195.370 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1552126195.372 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1552126195.374 * [backup-simplify]: Simplify (+ (* (+ (log n) (log (* 2 PI))) 0) (* 0 (pow (sqrt 1/2) 2))) into 0
1552126195.376 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))))) into 0
1552126195.380 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) (/ +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))
1552126195.382 * [backup-simplify]: Simplify (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) 0) into 0
1552126195.394 * [backup-simplify]: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))) (* 0 0)) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))
1552126195.397 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
1552126195.398 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0
1552126195.403 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
1552126195.407 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
1552126195.421 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))) (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))))
1552126195.438 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))))
1552126195.453 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))))
1552126195.454 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
1552126195.455 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1552126195.455 * [backup-simplify]: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0
1552126195.458 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 PI) 2) (+)) (* 2 0)) into (/ +nan.0 (pow PI 2))
1552126195.462 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (/ +nan.0 PI) 0) (* (/ +nan.0 (pow PI 2)) (sqrt 1/2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))
1552126195.470 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))
1552126195.475 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))
1552126195.478 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))
1552126195.505 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) (* n k)) (+ (* (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) (pow (* 1 k) 2)) (* (- (* +nan.0 (/ (sqrt 1/2) PI))) (* 1 k)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (+ (* +nan.0 (/ (* n (* (sqrt 1/2) k)) (pow PI 2))) (- (+ (* +nan.0 (/ (* (log n) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2)))) PI)) (- (* +nan.0 (/ (* (sqrt 1/2) k) PI)))))))))))
1552126195.505 * [backup-simplify]: Simplify (* (sqrt (/ 1 k)) (/ 1 (pow (* (* (/ 1 n) 2) PI) (- 1/2 (/ (/ 1 k) 2))))) into (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k)))
1552126195.505 * [approximate]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in (k n) around 0
1552126195.505 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in n
1552126195.505 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1552126195.505 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1552126195.506 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1552126195.506 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1552126195.506 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1552126195.506 * [taylor]: Taking taylor expansion of 1/2 in n
1552126195.506 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.506 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552126195.506 * [taylor]: Taking taylor expansion of 1/2 in n
1552126195.506 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.506 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552126195.506 * [taylor]: Taking taylor expansion of k in n
1552126195.506 * [backup-simplify]: Simplify k into k
1552126195.506 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552126195.506 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1552126195.506 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1552126195.506 * [taylor]: Taking taylor expansion of 2 in n
1552126195.506 * [backup-simplify]: Simplify 2 into 2
1552126195.506 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552126195.506 * [taylor]: Taking taylor expansion of PI in n
1552126195.506 * [backup-simplify]: Simplify PI into PI
1552126195.506 * [taylor]: Taking taylor expansion of n in n
1552126195.506 * [backup-simplify]: Simplify 0 into 0
1552126195.506 * [backup-simplify]: Simplify 1 into 1
1552126195.507 * [backup-simplify]: Simplify (/ PI 1) into PI
1552126195.507 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552126195.508 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552126195.508 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552126195.508 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1552126195.508 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1552126195.510 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552126195.511 * [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)))
1552126195.512 * [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))))
1552126195.513 * [backup-simplify]: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
1552126195.513 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
1552126195.513 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552126195.513 * [taylor]: Taking taylor expansion of k in n
1552126195.513 * [backup-simplify]: Simplify k into k
1552126195.513 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552126195.513 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
1552126195.513 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1552126195.514 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
1552126195.514 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k
1552126195.514 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
1552126195.514 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
1552126195.514 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1552126195.514 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1552126195.514 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1552126195.514 * [taylor]: Taking taylor expansion of 1/2 in k
1552126195.514 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.514 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1552126195.514 * [taylor]: Taking taylor expansion of 1/2 in k
1552126195.514 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.514 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552126195.514 * [taylor]: Taking taylor expansion of k in k
1552126195.514 * [backup-simplify]: Simplify 0 into 0
1552126195.514 * [backup-simplify]: Simplify 1 into 1
1552126195.514 * [backup-simplify]: Simplify (/ 1 1) into 1
1552126195.514 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
1552126195.514 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
1552126195.514 * [taylor]: Taking taylor expansion of 2 in k
1552126195.514 * [backup-simplify]: Simplify 2 into 2
1552126195.514 * [taylor]: Taking taylor expansion of (/ PI n) in k
1552126195.514 * [taylor]: Taking taylor expansion of PI in k
1552126195.514 * [backup-simplify]: Simplify PI into PI
1552126195.514 * [taylor]: Taking taylor expansion of n in k
1552126195.514 * [backup-simplify]: Simplify n into n
1552126195.515 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1552126195.515 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1552126195.515 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1552126195.515 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1552126195.516 * [backup-simplify]: Simplify (- 1/2) into -1/2
1552126195.516 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1552126195.516 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1552126195.516 * [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))))
1552126195.516 * [backup-simplify]: Simplify (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))
1552126195.516 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
1552126195.517 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552126195.517 * [taylor]: Taking taylor expansion of k in k
1552126195.517 * [backup-simplify]: Simplify 0 into 0
1552126195.517 * [backup-simplify]: Simplify 1 into 1
1552126195.517 * [backup-simplify]: Simplify (/ 1 1) into 1
1552126195.517 * [backup-simplify]: Simplify (sqrt 0) into 0
1552126195.519 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1552126195.519 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k
1552126195.519 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
1552126195.519 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
1552126195.519 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1552126195.519 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1552126195.519 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1552126195.519 * [taylor]: Taking taylor expansion of 1/2 in k
1552126195.519 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.519 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1552126195.519 * [taylor]: Taking taylor expansion of 1/2 in k
1552126195.519 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.519 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552126195.519 * [taylor]: Taking taylor expansion of k in k
1552126195.519 * [backup-simplify]: Simplify 0 into 0
1552126195.519 * [backup-simplify]: Simplify 1 into 1
1552126195.520 * [backup-simplify]: Simplify (/ 1 1) into 1
1552126195.520 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
1552126195.520 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
1552126195.520 * [taylor]: Taking taylor expansion of 2 in k
1552126195.520 * [backup-simplify]: Simplify 2 into 2
1552126195.520 * [taylor]: Taking taylor expansion of (/ PI n) in k
1552126195.520 * [taylor]: Taking taylor expansion of PI in k
1552126195.520 * [backup-simplify]: Simplify PI into PI
1552126195.520 * [taylor]: Taking taylor expansion of n in k
1552126195.520 * [backup-simplify]: Simplify n into n
1552126195.520 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1552126195.520 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1552126195.520 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1552126195.521 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1552126195.521 * [backup-simplify]: Simplify (- 1/2) into -1/2
1552126195.522 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1552126195.522 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1552126195.522 * [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))))
1552126195.522 * [backup-simplify]: Simplify (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))
1552126195.522 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
1552126195.522 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552126195.522 * [taylor]: Taking taylor expansion of k in k
1552126195.522 * [backup-simplify]: Simplify 0 into 0
1552126195.522 * [backup-simplify]: Simplify 1 into 1
1552126195.523 * [backup-simplify]: Simplify (/ 1 1) into 1
1552126195.523 * [backup-simplify]: Simplify (sqrt 0) into 0
1552126195.524 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1552126195.525 * [backup-simplify]: Simplify (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0
1552126195.525 * [taylor]: Taking taylor expansion of 0 in n
1552126195.525 * [backup-simplify]: Simplify 0 into 0
1552126195.525 * [backup-simplify]: Simplify 0 into 0
1552126195.525 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0
1552126195.526 * [backup-simplify]: Simplify (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))
1552126195.526 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n
1552126195.526 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
1552126195.526 * [taylor]: Taking taylor expansion of +nan.0 in n
1552126195.526 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552126195.526 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1552126195.526 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1552126195.526 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1552126195.526 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1552126195.526 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1552126195.526 * [taylor]: Taking taylor expansion of 1/2 in n
1552126195.526 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.526 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552126195.526 * [taylor]: Taking taylor expansion of 1/2 in n
1552126195.526 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.526 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552126195.526 * [taylor]: Taking taylor expansion of k in n
1552126195.526 * [backup-simplify]: Simplify k into k
1552126195.526 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552126195.526 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1552126195.526 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1552126195.526 * [taylor]: Taking taylor expansion of 2 in n
1552126195.526 * [backup-simplify]: Simplify 2 into 2
1552126195.526 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552126195.526 * [taylor]: Taking taylor expansion of PI in n
1552126195.526 * [backup-simplify]: Simplify PI into PI
1552126195.527 * [taylor]: Taking taylor expansion of n in n
1552126195.527 * [backup-simplify]: Simplify 0 into 0
1552126195.527 * [backup-simplify]: Simplify 1 into 1
1552126195.527 * [backup-simplify]: Simplify (/ PI 1) into PI
1552126195.527 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552126195.528 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552126195.529 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552126195.529 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1552126195.529 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1552126195.530 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552126195.530 * [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)))
1552126195.531 * [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))))
1552126195.532 * [backup-simplify]: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
1552126195.533 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (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)))))
1552126195.533 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))
1552126195.534 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))
1552126195.534 * [backup-simplify]: Simplify 0 into 0
1552126195.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1552126195.536 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1552126195.537 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0
1552126195.537 * [backup-simplify]: Simplify (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))
1552126195.537 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n
1552126195.537 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
1552126195.537 * [taylor]: Taking taylor expansion of +nan.0 in n
1552126195.537 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552126195.537 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1552126195.537 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1552126195.538 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1552126195.538 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1552126195.538 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1552126195.538 * [taylor]: Taking taylor expansion of 1/2 in n
1552126195.538 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.538 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552126195.538 * [taylor]: Taking taylor expansion of 1/2 in n
1552126195.538 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.538 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552126195.538 * [taylor]: Taking taylor expansion of k in n
1552126195.538 * [backup-simplify]: Simplify k into k
1552126195.538 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552126195.538 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1552126195.538 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1552126195.538 * [taylor]: Taking taylor expansion of 2 in n
1552126195.538 * [backup-simplify]: Simplify 2 into 2
1552126195.538 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552126195.538 * [taylor]: Taking taylor expansion of PI in n
1552126195.538 * [backup-simplify]: Simplify PI into PI
1552126195.538 * [taylor]: Taking taylor expansion of n in n
1552126195.538 * [backup-simplify]: Simplify 0 into 0
1552126195.538 * [backup-simplify]: Simplify 1 into 1
1552126195.538 * [backup-simplify]: Simplify (/ PI 1) into PI
1552126195.539 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552126195.539 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552126195.539 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552126195.539 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1552126195.539 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1552126195.540 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552126195.541 * [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)))
1552126195.542 * [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))))
1552126195.542 * [backup-simplify]: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
1552126195.543 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (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)))))
1552126195.544 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))
1552126195.545 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))
1552126195.545 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1552126195.546 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1552126195.547 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1552126195.547 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1552126195.547 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1552126195.547 * [backup-simplify]: Simplify (- 0) into 0
1552126195.548 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126195.549 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552126195.549 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1552126195.551 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1552126195.552 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) (/ 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))) into 0
1552126195.553 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0
1552126195.553 * [backup-simplify]: Simplify (- 0) into 0
1552126195.553 * [backup-simplify]: Simplify 0 into 0
1552126195.553 * [backup-simplify]: Simplify 0 into 0
1552126195.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552126195.556 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1552126195.557 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0
1552126195.563 * [backup-simplify]: Simplify (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))
1552126195.563 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n
1552126195.564 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
1552126195.564 * [taylor]: Taking taylor expansion of +nan.0 in n
1552126195.564 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552126195.564 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1552126195.564 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1552126195.564 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1552126195.564 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1552126195.564 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1552126195.564 * [taylor]: Taking taylor expansion of 1/2 in n
1552126195.564 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.564 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552126195.564 * [taylor]: Taking taylor expansion of 1/2 in n
1552126195.564 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.564 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552126195.564 * [taylor]: Taking taylor expansion of k in n
1552126195.564 * [backup-simplify]: Simplify k into k
1552126195.564 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552126195.564 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1552126195.564 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1552126195.564 * [taylor]: Taking taylor expansion of 2 in n
1552126195.564 * [backup-simplify]: Simplify 2 into 2
1552126195.564 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552126195.564 * [taylor]: Taking taylor expansion of PI in n
1552126195.564 * [backup-simplify]: Simplify PI into PI
1552126195.564 * [taylor]: Taking taylor expansion of n in n
1552126195.564 * [backup-simplify]: Simplify 0 into 0
1552126195.564 * [backup-simplify]: Simplify 1 into 1
1552126195.565 * [backup-simplify]: Simplify (/ PI 1) into PI
1552126195.566 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552126195.567 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552126195.567 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552126195.567 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1552126195.567 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1552126195.568 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552126195.570 * [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)))
1552126195.571 * [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))))
1552126195.572 * [backup-simplify]: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
1552126195.573 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (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)))))
1552126195.574 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))
1552126195.576 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))
1552126195.580 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (* 1 (/ 1 k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n)))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))))))))))
1552126195.580 * [backup-simplify]: Simplify (* (sqrt (/ 1 (- k))) (/ 1 (pow (* (* (/ 1 (- n)) 2) PI) (- 1/2 (/ (/ 1 (- k)) 2))))) into (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)))
1552126195.580 * [approximate]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0
1552126195.580 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in n
1552126195.580 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
1552126195.581 * [taylor]: Taking taylor expansion of (/ -1 k) in n
1552126195.581 * [taylor]: Taking taylor expansion of -1 in n
1552126195.581 * [backup-simplify]: Simplify -1 into -1
1552126195.581 * [taylor]: Taking taylor expansion of k in n
1552126195.581 * [backup-simplify]: Simplify k into k
1552126195.581 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
1552126195.581 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1552126195.581 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1552126195.581 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1552126195.581 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1552126195.581 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1552126195.581 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1552126195.581 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1552126195.581 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552126195.581 * [taylor]: Taking taylor expansion of 1/2 in n
1552126195.581 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.581 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552126195.581 * [taylor]: Taking taylor expansion of k in n
1552126195.581 * [backup-simplify]: Simplify k into k
1552126195.581 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552126195.581 * [taylor]: Taking taylor expansion of 1/2 in n
1552126195.581 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.581 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1552126195.581 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1552126195.581 * [taylor]: Taking taylor expansion of -2 in n
1552126195.581 * [backup-simplify]: Simplify -2 into -2
1552126195.581 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552126195.582 * [taylor]: Taking taylor expansion of PI in n
1552126195.582 * [backup-simplify]: Simplify PI into PI
1552126195.582 * [taylor]: Taking taylor expansion of n in n
1552126195.582 * [backup-simplify]: Simplify 0 into 0
1552126195.582 * [backup-simplify]: Simplify 1 into 1
1552126195.582 * [backup-simplify]: Simplify (/ PI 1) into PI
1552126195.583 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552126195.583 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1552126195.584 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552126195.584 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1552126195.585 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552126195.586 * [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)))
1552126195.587 * [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))))
1552126195.588 * [backup-simplify]: Simplify (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
1552126195.588 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k
1552126195.588 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
1552126195.589 * [taylor]: Taking taylor expansion of (/ -1 k) in k
1552126195.589 * [taylor]: Taking taylor expansion of -1 in k
1552126195.589 * [backup-simplify]: Simplify -1 into -1
1552126195.589 * [taylor]: Taking taylor expansion of k in k
1552126195.589 * [backup-simplify]: Simplify 0 into 0
1552126195.589 * [backup-simplify]: Simplify 1 into 1
1552126195.589 * [backup-simplify]: Simplify (/ -1 1) into -1
1552126195.589 * [backup-simplify]: Simplify (sqrt 0) into 0
1552126195.591 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1552126195.591 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1552126195.591 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
1552126195.591 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
1552126195.591 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1552126195.591 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1552126195.591 * [taylor]: Taking taylor expansion of 1/2 in k
1552126195.591 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.591 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552126195.591 * [taylor]: Taking taylor expansion of k in k
1552126195.591 * [backup-simplify]: Simplify 0 into 0
1552126195.591 * [backup-simplify]: Simplify 1 into 1
1552126195.592 * [backup-simplify]: Simplify (/ 1 1) into 1
1552126195.592 * [taylor]: Taking taylor expansion of 1/2 in k
1552126195.592 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.592 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
1552126195.592 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
1552126195.592 * [taylor]: Taking taylor expansion of -2 in k
1552126195.592 * [backup-simplify]: Simplify -2 into -2
1552126195.592 * [taylor]: Taking taylor expansion of (/ PI n) in k
1552126195.592 * [taylor]: Taking taylor expansion of PI in k
1552126195.592 * [backup-simplify]: Simplify PI into PI
1552126195.592 * [taylor]: Taking taylor expansion of n in k
1552126195.592 * [backup-simplify]: Simplify n into n
1552126195.592 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1552126195.592 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1552126195.592 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1552126195.593 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1552126195.593 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1552126195.593 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1552126195.593 * [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)))
1552126195.594 * [backup-simplify]: Simplify (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))
1552126195.594 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k
1552126195.594 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
1552126195.594 * [taylor]: Taking taylor expansion of (/ -1 k) in k
1552126195.594 * [taylor]: Taking taylor expansion of -1 in k
1552126195.594 * [backup-simplify]: Simplify -1 into -1
1552126195.594 * [taylor]: Taking taylor expansion of k in k
1552126195.594 * [backup-simplify]: Simplify 0 into 0
1552126195.594 * [backup-simplify]: Simplify 1 into 1
1552126195.594 * [backup-simplify]: Simplify (/ -1 1) into -1
1552126195.595 * [backup-simplify]: Simplify (sqrt 0) into 0
1552126195.596 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1552126195.596 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1552126195.596 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
1552126195.596 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
1552126195.596 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1552126195.596 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1552126195.596 * [taylor]: Taking taylor expansion of 1/2 in k
1552126195.596 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.596 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552126195.596 * [taylor]: Taking taylor expansion of k in k
1552126195.596 * [backup-simplify]: Simplify 0 into 0
1552126195.596 * [backup-simplify]: Simplify 1 into 1
1552126195.597 * [backup-simplify]: Simplify (/ 1 1) into 1
1552126195.597 * [taylor]: Taking taylor expansion of 1/2 in k
1552126195.597 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.597 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
1552126195.597 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
1552126195.597 * [taylor]: Taking taylor expansion of -2 in k
1552126195.597 * [backup-simplify]: Simplify -2 into -2
1552126195.597 * [taylor]: Taking taylor expansion of (/ PI n) in k
1552126195.597 * [taylor]: Taking taylor expansion of PI in k
1552126195.597 * [backup-simplify]: Simplify PI into PI
1552126195.597 * [taylor]: Taking taylor expansion of n in k
1552126195.597 * [backup-simplify]: Simplify n into n
1552126195.597 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1552126195.597 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1552126195.597 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1552126195.598 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1552126195.598 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1552126195.598 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1552126195.598 * [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)))
1552126195.599 * [backup-simplify]: Simplify (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))
1552126195.599 * [taylor]: Taking taylor expansion of (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
1552126195.599 * [taylor]: Taking taylor expansion of +nan.0 in n
1552126195.599 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552126195.599 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
1552126195.599 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1552126195.599 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1552126195.599 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1552126195.599 * [taylor]: Taking taylor expansion of -2 in n
1552126195.599 * [backup-simplify]: Simplify -2 into -2
1552126195.599 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552126195.599 * [taylor]: Taking taylor expansion of PI in n
1552126195.599 * [backup-simplify]: Simplify PI into PI
1552126195.599 * [taylor]: Taking taylor expansion of n in n
1552126195.599 * [backup-simplify]: Simplify 0 into 0
1552126195.599 * [backup-simplify]: Simplify 1 into 1
1552126195.600 * [backup-simplify]: Simplify (/ PI 1) into PI
1552126195.600 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552126195.601 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1552126195.601 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1552126195.601 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552126195.601 * [taylor]: Taking taylor expansion of 1/2 in n
1552126195.601 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.601 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552126195.601 * [taylor]: Taking taylor expansion of k in n
1552126195.601 * [backup-simplify]: Simplify k into k
1552126195.601 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552126195.601 * [taylor]: Taking taylor expansion of 1/2 in n
1552126195.601 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.603 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552126195.603 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552126195.603 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1552126195.604 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
1552126195.605 * [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))))
1552126195.606 * [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)))))
1552126195.607 * [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)))))
1552126195.607 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1552126195.609 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1552126195.610 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (+ (* (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ 0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))))) into (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))))
1552126195.610 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) in n
1552126195.610 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n
1552126195.610 * [taylor]: Taking taylor expansion of +nan.0 in n
1552126195.610 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552126195.610 * [taylor]: Taking taylor expansion of (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
1552126195.610 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
1552126195.610 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1552126195.610 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1552126195.610 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1552126195.610 * [taylor]: Taking taylor expansion of -2 in n
1552126195.610 * [backup-simplify]: Simplify -2 into -2
1552126195.610 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552126195.610 * [taylor]: Taking taylor expansion of PI in n
1552126195.610 * [backup-simplify]: Simplify PI into PI
1552126195.610 * [taylor]: Taking taylor expansion of n in n
1552126195.610 * [backup-simplify]: Simplify 0 into 0
1552126195.610 * [backup-simplify]: Simplify 1 into 1
1552126195.610 * [backup-simplify]: Simplify (/ PI 1) into PI
1552126195.611 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552126195.611 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1552126195.611 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1552126195.611 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552126195.611 * [taylor]: Taking taylor expansion of 1/2 in n
1552126195.611 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.611 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552126195.611 * [taylor]: Taking taylor expansion of k in n
1552126195.611 * [backup-simplify]: Simplify k into k
1552126195.611 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552126195.611 * [taylor]: Taking taylor expansion of 1/2 in n
1552126195.611 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.612 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552126195.612 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552126195.612 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1552126195.613 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
1552126195.614 * [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))))
1552126195.614 * [backup-simplify]: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
1552126195.615 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (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)))))
1552126195.616 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))
1552126195.616 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))
1552126195.617 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552126195.617 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1552126195.618 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1552126195.618 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126195.619 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1552126195.619 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1552126195.620 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1552126195.621 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0
1552126195.622 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1552126195.624 * [backup-simplify]: Simplify (- (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (+ (* (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))) into 0
1552126195.624 * [backup-simplify]: Simplify 0 into 0
1552126195.624 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552126195.627 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1552126195.627 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (+ (* (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ 0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) (* (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) (/ 0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))))) into (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))))
1552126195.627 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) in n
1552126195.627 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n
1552126195.627 * [taylor]: Taking taylor expansion of +nan.0 in n
1552126195.628 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552126195.628 * [taylor]: Taking taylor expansion of (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
1552126195.628 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
1552126195.628 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1552126195.628 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1552126195.628 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1552126195.628 * [taylor]: Taking taylor expansion of -2 in n
1552126195.628 * [backup-simplify]: Simplify -2 into -2
1552126195.628 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552126195.628 * [taylor]: Taking taylor expansion of PI in n
1552126195.628 * [backup-simplify]: Simplify PI into PI
1552126195.628 * [taylor]: Taking taylor expansion of n in n
1552126195.628 * [backup-simplify]: Simplify 0 into 0
1552126195.628 * [backup-simplify]: Simplify 1 into 1
1552126195.628 * [backup-simplify]: Simplify (/ PI 1) into PI
1552126195.628 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552126195.629 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1552126195.629 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1552126195.629 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552126195.629 * [taylor]: Taking taylor expansion of 1/2 in n
1552126195.629 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.629 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552126195.629 * [taylor]: Taking taylor expansion of k in n
1552126195.629 * [backup-simplify]: Simplify k into k
1552126195.629 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552126195.629 * [taylor]: Taking taylor expansion of 1/2 in n
1552126195.629 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.630 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552126195.630 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552126195.630 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1552126195.631 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
1552126195.632 * [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))))
1552126195.633 * [backup-simplify]: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
1552126195.634 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (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)))))
1552126195.635 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))
1552126195.636 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))
1552126195.640 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))))))
1552126195.641 * * * * [progress]: [ 4 / 4 ] generating series at (2)
1552126195.641 * [backup-simplify]: Simplify (/ 1 (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) into (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))))
1552126195.641 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (k n) around 0
1552126195.641 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
1552126195.641 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
1552126195.641 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552126195.641 * [taylor]: Taking taylor expansion of k in n
1552126195.641 * [backup-simplify]: Simplify k into k
1552126195.641 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552126195.641 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
1552126195.641 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1552126195.641 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
1552126195.641 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1552126195.641 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1552126195.641 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1552126195.642 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1552126195.642 * [taylor]: Taking taylor expansion of 1/2 in n
1552126195.642 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.642 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
1552126195.642 * [taylor]: Taking taylor expansion of 1/2 in n
1552126195.642 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.642 * [taylor]: Taking taylor expansion of k in n
1552126195.642 * [backup-simplify]: Simplify k into k
1552126195.642 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1552126195.642 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1552126195.642 * [taylor]: Taking taylor expansion of 2 in n
1552126195.642 * [backup-simplify]: Simplify 2 into 2
1552126195.642 * [taylor]: Taking taylor expansion of (* n PI) in n
1552126195.642 * [taylor]: Taking taylor expansion of n in n
1552126195.642 * [backup-simplify]: Simplify 0 into 0
1552126195.642 * [backup-simplify]: Simplify 1 into 1
1552126195.642 * [taylor]: Taking taylor expansion of PI in n
1552126195.642 * [backup-simplify]: Simplify PI into PI
1552126195.642 * [backup-simplify]: Simplify (* 0 PI) into 0
1552126195.643 * [backup-simplify]: Simplify (* 2 0) into 0
1552126195.644 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552126195.646 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1552126195.647 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552126195.647 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
1552126195.647 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1552126195.647 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1552126195.648 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552126195.649 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
1552126195.650 * [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)))))
1552126195.650 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
1552126195.650 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
1552126195.651 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552126195.651 * [taylor]: Taking taylor expansion of k in k
1552126195.651 * [backup-simplify]: Simplify 0 into 0
1552126195.651 * [backup-simplify]: Simplify 1 into 1
1552126195.651 * [backup-simplify]: Simplify (/ 1 1) into 1
1552126195.651 * [backup-simplify]: Simplify (sqrt 0) into 0
1552126195.653 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1552126195.653 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1552126195.653 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1552126195.653 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1552126195.653 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1552126195.653 * [taylor]: Taking taylor expansion of 1/2 in k
1552126195.653 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.653 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1552126195.653 * [taylor]: Taking taylor expansion of 1/2 in k
1552126195.653 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.653 * [taylor]: Taking taylor expansion of k in k
1552126195.653 * [backup-simplify]: Simplify 0 into 0
1552126195.653 * [backup-simplify]: Simplify 1 into 1
1552126195.653 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1552126195.653 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1552126195.653 * [taylor]: Taking taylor expansion of 2 in k
1552126195.653 * [backup-simplify]: Simplify 2 into 2
1552126195.653 * [taylor]: Taking taylor expansion of (* n PI) in k
1552126195.653 * [taylor]: Taking taylor expansion of n in k
1552126195.653 * [backup-simplify]: Simplify n into n
1552126195.653 * [taylor]: Taking taylor expansion of PI in k
1552126195.653 * [backup-simplify]: Simplify PI into PI
1552126195.653 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1552126195.653 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1552126195.653 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1552126195.654 * [backup-simplify]: Simplify (* 1/2 0) into 0
1552126195.654 * [backup-simplify]: Simplify (- 0) into 0
1552126195.655 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1552126195.655 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1552126195.655 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1552126195.655 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
1552126195.655 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
1552126195.655 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552126195.655 * [taylor]: Taking taylor expansion of k in k
1552126195.655 * [backup-simplify]: Simplify 0 into 0
1552126195.655 * [backup-simplify]: Simplify 1 into 1
1552126195.655 * [backup-simplify]: Simplify (/ 1 1) into 1
1552126195.656 * [backup-simplify]: Simplify (sqrt 0) into 0
1552126195.657 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1552126195.657 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1552126195.657 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1552126195.657 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1552126195.657 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1552126195.657 * [taylor]: Taking taylor expansion of 1/2 in k
1552126195.657 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.657 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1552126195.657 * [taylor]: Taking taylor expansion of 1/2 in k
1552126195.657 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.657 * [taylor]: Taking taylor expansion of k in k
1552126195.657 * [backup-simplify]: Simplify 0 into 0
1552126195.657 * [backup-simplify]: Simplify 1 into 1
1552126195.657 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1552126195.657 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1552126195.657 * [taylor]: Taking taylor expansion of 2 in k
1552126195.657 * [backup-simplify]: Simplify 2 into 2
1552126195.657 * [taylor]: Taking taylor expansion of (* n PI) in k
1552126195.657 * [taylor]: Taking taylor expansion of n in k
1552126195.658 * [backup-simplify]: Simplify n into n
1552126195.658 * [taylor]: Taking taylor expansion of PI in k
1552126195.658 * [backup-simplify]: Simplify PI into PI
1552126195.658 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1552126195.658 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1552126195.658 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1552126195.658 * [backup-simplify]: Simplify (* 1/2 0) into 0
1552126195.659 * [backup-simplify]: Simplify (- 0) into 0
1552126195.659 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1552126195.659 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1552126195.659 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1552126195.659 * [backup-simplify]: Simplify (* 0 (pow (* 2 (* n PI)) 1/2)) into 0
1552126195.659 * [taylor]: Taking taylor expansion of 0 in n
1552126195.659 * [backup-simplify]: Simplify 0 into 0
1552126195.660 * [backup-simplify]: Simplify 0 into 0
1552126195.660 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0
1552126195.661 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0
1552126195.661 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0
1552126195.662 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1552126195.663 * [backup-simplify]: Simplify (- 1/2) into -1/2
1552126195.663 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1552126195.663 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI)))))
1552126195.664 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1)))) into (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))
1552126195.664 * [backup-simplify]: Simplify (+ (* 0 (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))) (* +nan.0 (pow (* 2 (* n PI)) 1/2))) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))
1552126195.664 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
1552126195.664 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
1552126195.664 * [taylor]: Taking taylor expansion of +nan.0 in n
1552126195.664 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552126195.664 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
1552126195.664 * [taylor]: Taking taylor expansion of (sqrt 2) in n
1552126195.664 * [taylor]: Taking taylor expansion of 2 in n
1552126195.664 * [backup-simplify]: Simplify 2 into 2
1552126195.665 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
1552126195.665 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
1552126195.665 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
1552126195.665 * [taylor]: Taking taylor expansion of (* n PI) in n
1552126195.665 * [taylor]: Taking taylor expansion of n in n
1552126195.666 * [backup-simplify]: Simplify 0 into 0
1552126195.666 * [backup-simplify]: Simplify 1 into 1
1552126195.666 * [taylor]: Taking taylor expansion of PI in n
1552126195.666 * [backup-simplify]: Simplify PI into PI
1552126195.666 * [backup-simplify]: Simplify (* 0 PI) into 0
1552126195.667 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552126195.668 * [backup-simplify]: Simplify (sqrt 0) into 0
1552126195.669 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1552126195.670 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
1552126195.670 * [backup-simplify]: Simplify (* +nan.0 0) into 0
1552126195.670 * [backup-simplify]: Simplify (- 0) into 0
1552126195.670 * [backup-simplify]: Simplify 0 into 0
1552126195.670 * [backup-simplify]: Simplify 0 into 0
1552126195.671 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0
1552126195.672 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0
1552126195.674 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 1)))) 2) into 0
1552126195.675 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1552126195.675 * [backup-simplify]: Simplify (- 0) into 0
1552126195.675 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126195.676 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0
1552126195.677 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2)))
1552126195.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1552126195.681 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1552126195.682 * [backup-simplify]: Simplify (+ (* 0 (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2)))) (+ (* +nan.0 (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))) (* +nan.0 (pow (* 2 (* n PI)) 1/2)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))))
1552126195.682 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) in n
1552126195.682 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))) in n
1552126195.682 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n
1552126195.682 * [taylor]: Taking taylor expansion of +nan.0 in n
1552126195.682 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552126195.682 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n
1552126195.682 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n
1552126195.682 * [taylor]: Taking taylor expansion of (sqrt 2) in n
1552126195.682 * [taylor]: Taking taylor expansion of 2 in n
1552126195.682 * [backup-simplify]: Simplify 2 into 2
1552126195.683 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
1552126195.683 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
1552126195.683 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1552126195.683 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1552126195.683 * [taylor]: Taking taylor expansion of 2 in n
1552126195.683 * [backup-simplify]: Simplify 2 into 2
1552126195.683 * [taylor]: Taking taylor expansion of (* n PI) in n
1552126195.683 * [taylor]: Taking taylor expansion of n in n
1552126195.683 * [backup-simplify]: Simplify 0 into 0
1552126195.683 * [backup-simplify]: Simplify 1 into 1
1552126195.683 * [taylor]: Taking taylor expansion of PI in n
1552126195.683 * [backup-simplify]: Simplify PI into PI
1552126195.684 * [backup-simplify]: Simplify (* 0 PI) into 0
1552126195.684 * [backup-simplify]: Simplify (* 2 0) into 0
1552126195.686 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552126195.693 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1552126195.695 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552126195.695 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
1552126195.695 * [taylor]: Taking taylor expansion of (* n PI) in n
1552126195.695 * [taylor]: Taking taylor expansion of n in n
1552126195.695 * [backup-simplify]: Simplify 0 into 0
1552126195.695 * [backup-simplify]: Simplify 1 into 1
1552126195.695 * [taylor]: Taking taylor expansion of PI in n
1552126195.695 * [backup-simplify]: Simplify PI into PI
1552126195.695 * [backup-simplify]: Simplify (* 0 PI) into 0
1552126195.697 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552126195.697 * [backup-simplify]: Simplify (sqrt 0) into 0
1552126195.699 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1552126195.699 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
1552126195.699 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
1552126195.699 * [taylor]: Taking taylor expansion of +nan.0 in n
1552126195.699 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552126195.699 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
1552126195.699 * [taylor]: Taking taylor expansion of (sqrt 2) in n
1552126195.699 * [taylor]: Taking taylor expansion of 2 in n
1552126195.699 * [backup-simplify]: Simplify 2 into 2
1552126195.699 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
1552126195.700 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
1552126195.700 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
1552126195.700 * [taylor]: Taking taylor expansion of (* n PI) in n
1552126195.700 * [taylor]: Taking taylor expansion of n in n
1552126195.700 * [backup-simplify]: Simplify 0 into 0
1552126195.700 * [backup-simplify]: Simplify 1 into 1
1552126195.700 * [taylor]: Taking taylor expansion of PI in n
1552126195.700 * [backup-simplify]: Simplify PI into PI
1552126195.700 * [backup-simplify]: Simplify (* 0 PI) into 0
1552126195.702 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552126195.702 * [backup-simplify]: Simplify (sqrt 0) into 0
1552126195.704 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1552126195.705 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552126195.706 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI))))
1552126195.708 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0
1552126195.708 * [backup-simplify]: Simplify (* +nan.0 0) into 0
1552126195.709 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
1552126195.709 * [backup-simplify]: Simplify (* +nan.0 0) into 0
1552126195.710 * [backup-simplify]: Simplify (- 0) into 0
1552126195.710 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126195.710 * [backup-simplify]: Simplify (- 0) into 0
1552126195.710 * [backup-simplify]: Simplify 0 into 0
1552126195.713 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
1552126195.719 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
1552126195.722 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI)))
1552126195.725 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI)))
1552126195.725 * [backup-simplify]: Simplify 0 into 0
1552126195.726 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1552126195.727 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0
1552126195.730 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 (* n PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 (* n PI)) 1)))) 6) into 0
1552126195.731 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
1552126195.731 * [backup-simplify]: Simplify (- 0) into 0
1552126195.732 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126195.733 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0
1552126195.734 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3)))
1552126195.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552126195.737 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1552126195.738 * [backup-simplify]: Simplify (+ (* 0 (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3)))) (+ (* +nan.0 (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2)))) (+ (* +nan.0 (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))) (* +nan.0 (pow (* 2 (* n PI)) 1/2))))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))))))
1552126195.738 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))))) in n
1552126195.738 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))))) in n
1552126195.738 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n
1552126195.738 * [taylor]: Taking taylor expansion of +nan.0 in n
1552126195.738 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552126195.738 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n
1552126195.738 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n
1552126195.738 * [taylor]: Taking taylor expansion of (sqrt 2) in n
1552126195.738 * [taylor]: Taking taylor expansion of 2 in n
1552126195.738 * [backup-simplify]: Simplify 2 into 2
1552126195.739 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
1552126195.739 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
1552126195.739 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1552126195.739 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1552126195.739 * [taylor]: Taking taylor expansion of 2 in n
1552126195.739 * [backup-simplify]: Simplify 2 into 2
1552126195.739 * [taylor]: Taking taylor expansion of (* n PI) in n
1552126195.739 * [taylor]: Taking taylor expansion of n in n
1552126195.739 * [backup-simplify]: Simplify 0 into 0
1552126195.739 * [backup-simplify]: Simplify 1 into 1
1552126195.739 * [taylor]: Taking taylor expansion of PI in n
1552126195.739 * [backup-simplify]: Simplify PI into PI
1552126195.739 * [backup-simplify]: Simplify (* 0 PI) into 0
1552126195.740 * [backup-simplify]: Simplify (* 2 0) into 0
1552126195.741 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552126195.742 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1552126195.742 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552126195.742 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
1552126195.742 * [taylor]: Taking taylor expansion of (* n PI) in n
1552126195.742 * [taylor]: Taking taylor expansion of n in n
1552126195.742 * [backup-simplify]: Simplify 0 into 0
1552126195.742 * [backup-simplify]: Simplify 1 into 1
1552126195.742 * [taylor]: Taking taylor expansion of PI in n
1552126195.742 * [backup-simplify]: Simplify PI into PI
1552126195.743 * [backup-simplify]: Simplify (* 0 PI) into 0
1552126195.743 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552126195.744 * [backup-simplify]: Simplify (sqrt 0) into 0
1552126195.744 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1552126195.745 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) in n
1552126195.745 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))) in n
1552126195.745 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n
1552126195.745 * [taylor]: Taking taylor expansion of +nan.0 in n
1552126195.745 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552126195.745 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n
1552126195.745 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n
1552126195.745 * [taylor]: Taking taylor expansion of (sqrt 2) in n
1552126195.745 * [taylor]: Taking taylor expansion of 2 in n
1552126195.745 * [backup-simplify]: Simplify 2 into 2
1552126195.745 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
1552126195.745 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
1552126195.745 * [taylor]: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n
1552126195.745 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1552126195.745 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1552126195.745 * [taylor]: Taking taylor expansion of 2 in n
1552126195.745 * [backup-simplify]: Simplify 2 into 2
1552126195.745 * [taylor]: Taking taylor expansion of (* n PI) in n
1552126195.745 * [taylor]: Taking taylor expansion of n in n
1552126195.745 * [backup-simplify]: Simplify 0 into 0
1552126195.745 * [backup-simplify]: Simplify 1 into 1
1552126195.745 * [taylor]: Taking taylor expansion of PI in n
1552126195.746 * [backup-simplify]: Simplify PI into PI
1552126195.746 * [backup-simplify]: Simplify (* 0 PI) into 0
1552126195.746 * [backup-simplify]: Simplify (* 2 0) into 0
1552126195.747 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552126195.748 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1552126195.748 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552126195.749 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552126195.749 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
1552126195.749 * [taylor]: Taking taylor expansion of (* n PI) in n
1552126195.749 * [taylor]: Taking taylor expansion of n in n
1552126195.749 * [backup-simplify]: Simplify 0 into 0
1552126195.749 * [backup-simplify]: Simplify 1 into 1
1552126195.749 * [taylor]: Taking taylor expansion of PI in n
1552126195.749 * [backup-simplify]: Simplify PI into PI
1552126195.750 * [backup-simplify]: Simplify (* 0 PI) into 0
1552126195.751 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552126195.751 * [backup-simplify]: Simplify (sqrt 0) into 0
1552126195.752 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1552126195.752 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
1552126195.752 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
1552126195.752 * [taylor]: Taking taylor expansion of +nan.0 in n
1552126195.752 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552126195.752 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
1552126195.752 * [taylor]: Taking taylor expansion of (sqrt 2) in n
1552126195.752 * [taylor]: Taking taylor expansion of 2 in n
1552126195.752 * [backup-simplify]: Simplify 2 into 2
1552126195.752 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
1552126195.753 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
1552126195.753 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
1552126195.753 * [taylor]: Taking taylor expansion of (* n PI) in n
1552126195.753 * [taylor]: Taking taylor expansion of n in n
1552126195.753 * [backup-simplify]: Simplify 0 into 0
1552126195.753 * [backup-simplify]: Simplify 1 into 1
1552126195.753 * [taylor]: Taking taylor expansion of PI in n
1552126195.753 * [backup-simplify]: Simplify PI into PI
1552126195.753 * [backup-simplify]: Simplify (* 0 PI) into 0
1552126195.754 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552126195.754 * [backup-simplify]: Simplify (sqrt 0) into 0
1552126195.755 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1552126195.756 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552126195.757 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI))))
1552126195.758 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0
1552126195.758 * [backup-simplify]: Simplify (* +nan.0 0) into 0
1552126195.759 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552126195.760 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552126195.761 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2)
1552126195.762 * [backup-simplify]: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2))
1552126195.763 * [backup-simplify]: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0
1552126195.764 * [backup-simplify]: Simplify (* +nan.0 0) into 0
1552126195.764 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
1552126195.765 * [backup-simplify]: Simplify (* +nan.0 0) into 0
1552126195.765 * [backup-simplify]: Simplify (- 0) into 0
1552126195.766 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126195.766 * [backup-simplify]: Simplify (- 0) into 0
1552126195.767 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126195.767 * [backup-simplify]: Simplify (- 0) into 0
1552126195.767 * [backup-simplify]: Simplify 0 into 0
1552126195.768 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1552126195.769 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1552126195.771 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1552126195.772 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552126195.774 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1552126195.776 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) (* +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))
1552126195.782 * [backup-simplify]: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))
1552126195.785 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
1552126195.790 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
1552126195.794 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI)))
1552126195.798 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) (- (* +nan.0 (* (sqrt 2) PI)))) into (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))))
1552126195.803 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI)))))))
1552126195.812 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI)))))))
1552126195.813 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1552126195.816 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2))
1552126195.816 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
1552126195.820 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
1552126195.827 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
1552126195.832 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
1552126195.835 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
1552126195.849 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) (* n k)) (* (- (* +nan.0 (* (sqrt 2) PI))) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2)))))))))))))
1552126195.849 * [backup-simplify]: Simplify (/ 1 (* (sqrt (/ 1 k)) (/ 1 (pow (* (* (/ 1 n) 2) PI) (- 1/2 (/ (/ 1 k) 2)))))) into (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))
1552126195.849 * [approximate]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (k n) around 0
1552126195.849 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1552126195.849 * [taylor]: Taking taylor expansion of (sqrt k) in n
1552126195.849 * [taylor]: Taking taylor expansion of k in n
1552126195.849 * [backup-simplify]: Simplify k into k
1552126195.849 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
1552126195.849 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
1552126195.849 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1552126195.849 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1552126195.849 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1552126195.849 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1552126195.849 * [taylor]: Taking taylor expansion of 1/2 in n
1552126195.849 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.850 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552126195.850 * [taylor]: Taking taylor expansion of 1/2 in n
1552126195.850 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.850 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552126195.850 * [taylor]: Taking taylor expansion of k in n
1552126195.850 * [backup-simplify]: Simplify k into k
1552126195.850 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552126195.850 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1552126195.850 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1552126195.850 * [taylor]: Taking taylor expansion of 2 in n
1552126195.850 * [backup-simplify]: Simplify 2 into 2
1552126195.850 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552126195.850 * [taylor]: Taking taylor expansion of PI in n
1552126195.850 * [backup-simplify]: Simplify PI into PI
1552126195.850 * [taylor]: Taking taylor expansion of n in n
1552126195.850 * [backup-simplify]: Simplify 0 into 0
1552126195.850 * [backup-simplify]: Simplify 1 into 1
1552126195.851 * [backup-simplify]: Simplify (/ PI 1) into PI
1552126195.851 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552126195.852 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552126195.852 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552126195.853 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1552126195.853 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1552126195.854 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552126195.855 * [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)))
1552126195.856 * [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))))
1552126195.856 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
1552126195.856 * [taylor]: Taking taylor expansion of (sqrt k) in k
1552126195.856 * [taylor]: Taking taylor expansion of k in k
1552126195.856 * [backup-simplify]: Simplify 0 into 0
1552126195.856 * [backup-simplify]: Simplify 1 into 1
1552126195.857 * [backup-simplify]: Simplify (sqrt 0) into 0
1552126195.858 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1552126195.858 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
1552126195.858 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1552126195.858 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1552126195.858 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1552126195.858 * [taylor]: Taking taylor expansion of 1/2 in k
1552126195.858 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.858 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1552126195.858 * [taylor]: Taking taylor expansion of 1/2 in k
1552126195.858 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.858 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552126195.858 * [taylor]: Taking taylor expansion of k in k
1552126195.858 * [backup-simplify]: Simplify 0 into 0
1552126195.858 * [backup-simplify]: Simplify 1 into 1
1552126195.858 * [backup-simplify]: Simplify (/ 1 1) into 1
1552126195.858 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
1552126195.858 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
1552126195.858 * [taylor]: Taking taylor expansion of 2 in k
1552126195.858 * [backup-simplify]: Simplify 2 into 2
1552126195.858 * [taylor]: Taking taylor expansion of (/ PI n) in k
1552126195.858 * [taylor]: Taking taylor expansion of PI in k
1552126195.859 * [backup-simplify]: Simplify PI into PI
1552126195.859 * [taylor]: Taking taylor expansion of n in k
1552126195.859 * [backup-simplify]: Simplify n into n
1552126195.859 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1552126195.859 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1552126195.859 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1552126195.859 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1552126195.859 * [backup-simplify]: Simplify (- 1/2) into -1/2
1552126195.859 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1552126195.860 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1552126195.860 * [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))))
1552126195.860 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
1552126195.860 * [taylor]: Taking taylor expansion of (sqrt k) in k
1552126195.860 * [taylor]: Taking taylor expansion of k in k
1552126195.860 * [backup-simplify]: Simplify 0 into 0
1552126195.860 * [backup-simplify]: Simplify 1 into 1
1552126195.860 * [backup-simplify]: Simplify (sqrt 0) into 0
1552126195.861 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1552126195.861 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
1552126195.861 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1552126195.861 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1552126195.861 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1552126195.861 * [taylor]: Taking taylor expansion of 1/2 in k
1552126195.861 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.861 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1552126195.861 * [taylor]: Taking taylor expansion of 1/2 in k
1552126195.861 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.861 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552126195.861 * [taylor]: Taking taylor expansion of k in k
1552126195.861 * [backup-simplify]: Simplify 0 into 0
1552126195.861 * [backup-simplify]: Simplify 1 into 1
1552126195.861 * [backup-simplify]: Simplify (/ 1 1) into 1
1552126195.861 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
1552126195.861 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
1552126195.861 * [taylor]: Taking taylor expansion of 2 in k
1552126195.861 * [backup-simplify]: Simplify 2 into 2
1552126195.861 * [taylor]: Taking taylor expansion of (/ PI n) in k
1552126195.861 * [taylor]: Taking taylor expansion of PI in k
1552126195.861 * [backup-simplify]: Simplify PI into PI
1552126195.861 * [taylor]: Taking taylor expansion of n in k
1552126195.861 * [backup-simplify]: Simplify n into n
1552126195.861 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1552126195.862 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1552126195.862 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1552126195.862 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1552126195.862 * [backup-simplify]: Simplify (- 1/2) into -1/2
1552126195.862 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1552126195.862 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1552126195.863 * [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))))
1552126195.863 * [backup-simplify]: Simplify (* 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into 0
1552126195.863 * [taylor]: Taking taylor expansion of 0 in n
1552126195.863 * [backup-simplify]: Simplify 0 into 0
1552126195.863 * [backup-simplify]: Simplify 0 into 0
1552126195.863 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) into (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))
1552126195.863 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
1552126195.863 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1552126195.863 * [taylor]: Taking taylor expansion of +nan.0 in n
1552126195.863 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552126195.863 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1552126195.863 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1552126195.863 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1552126195.863 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1552126195.863 * [taylor]: Taking taylor expansion of 1/2 in n
1552126195.863 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.863 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552126195.863 * [taylor]: Taking taylor expansion of 1/2 in n
1552126195.863 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.863 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552126195.863 * [taylor]: Taking taylor expansion of k in n
1552126195.863 * [backup-simplify]: Simplify k into k
1552126195.863 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552126195.863 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1552126195.863 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1552126195.864 * [taylor]: Taking taylor expansion of 2 in n
1552126195.864 * [backup-simplify]: Simplify 2 into 2
1552126195.864 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552126195.864 * [taylor]: Taking taylor expansion of PI in n
1552126195.864 * [backup-simplify]: Simplify PI into PI
1552126195.864 * [taylor]: Taking taylor expansion of n in n
1552126195.864 * [backup-simplify]: Simplify 0 into 0
1552126195.864 * [backup-simplify]: Simplify 1 into 1
1552126195.864 * [backup-simplify]: Simplify (/ PI 1) into PI
1552126195.864 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552126195.865 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552126195.865 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552126195.865 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1552126195.865 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1552126195.866 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552126195.867 * [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)))
1552126195.867 * [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))))
1552126195.868 * [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)))))
1552126195.869 * [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))))))
1552126195.869 * [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))))))
1552126195.870 * [backup-simplify]: Simplify 0 into 0
1552126195.871 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1552126195.872 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))
1552126195.872 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
1552126195.872 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1552126195.872 * [taylor]: Taking taylor expansion of +nan.0 in n
1552126195.872 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552126195.872 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1552126195.872 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1552126195.872 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1552126195.872 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1552126195.872 * [taylor]: Taking taylor expansion of 1/2 in n
1552126195.872 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.872 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552126195.872 * [taylor]: Taking taylor expansion of 1/2 in n
1552126195.872 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.872 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552126195.872 * [taylor]: Taking taylor expansion of k in n
1552126195.872 * [backup-simplify]: Simplify k into k
1552126195.872 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552126195.872 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1552126195.872 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1552126195.872 * [taylor]: Taking taylor expansion of 2 in n
1552126195.872 * [backup-simplify]: Simplify 2 into 2
1552126195.872 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552126195.872 * [taylor]: Taking taylor expansion of PI in n
1552126195.872 * [backup-simplify]: Simplify PI into PI
1552126195.872 * [taylor]: Taking taylor expansion of n in n
1552126195.872 * [backup-simplify]: Simplify 0 into 0
1552126195.872 * [backup-simplify]: Simplify 1 into 1
1552126195.873 * [backup-simplify]: Simplify (/ PI 1) into PI
1552126195.873 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552126195.874 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552126195.874 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552126195.874 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1552126195.874 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1552126195.875 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552126195.875 * [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)))
1552126195.876 * [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))))
1552126195.877 * [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)))))
1552126195.877 * [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))))))
1552126195.878 * [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))))))
1552126195.879 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1552126195.879 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1552126195.880 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1552126195.880 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1552126195.880 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1552126195.881 * [backup-simplify]: Simplify (- 0) into 0
1552126195.881 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126195.882 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552126195.882 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1552126195.884 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1552126195.884 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0
1552126195.885 * [backup-simplify]: Simplify (- 0) into 0
1552126195.885 * [backup-simplify]: Simplify 0 into 0
1552126195.885 * [backup-simplify]: Simplify 0 into 0
1552126195.889 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1552126195.890 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))
1552126195.890 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
1552126195.890 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1552126195.890 * [taylor]: Taking taylor expansion of +nan.0 in n
1552126195.890 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552126195.890 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1552126195.890 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1552126195.890 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1552126195.890 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1552126195.890 * [taylor]: Taking taylor expansion of 1/2 in n
1552126195.890 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.890 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552126195.891 * [taylor]: Taking taylor expansion of 1/2 in n
1552126195.891 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.891 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552126195.891 * [taylor]: Taking taylor expansion of k in n
1552126195.891 * [backup-simplify]: Simplify k into k
1552126195.891 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552126195.891 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1552126195.891 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1552126195.891 * [taylor]: Taking taylor expansion of 2 in n
1552126195.891 * [backup-simplify]: Simplify 2 into 2
1552126195.891 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552126195.891 * [taylor]: Taking taylor expansion of PI in n
1552126195.891 * [backup-simplify]: Simplify PI into PI
1552126195.891 * [taylor]: Taking taylor expansion of n in n
1552126195.891 * [backup-simplify]: Simplify 0 into 0
1552126195.891 * [backup-simplify]: Simplify 1 into 1
1552126195.892 * [backup-simplify]: Simplify (/ PI 1) into PI
1552126195.892 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552126195.893 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552126195.893 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552126195.893 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1552126195.893 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1552126195.895 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552126195.896 * [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)))
1552126195.897 * [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))))
1552126195.898 * [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)))))
1552126195.899 * [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))))))
1552126195.901 * [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))))))
1552126195.905 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (* 1 (/ 1 k))))) 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))))))))
1552126195.905 * [backup-simplify]: Simplify (/ 1 (* (sqrt (/ 1 (- k))) (/ 1 (pow (* (* (/ 1 (- n)) 2) PI) (- 1/2 (/ (/ 1 (- k)) 2)))))) into (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k)))
1552126195.905 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (k n) around 0
1552126195.905 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n
1552126195.905 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1552126195.905 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1552126195.905 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1552126195.905 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1552126195.905 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552126195.905 * [taylor]: Taking taylor expansion of 1/2 in n
1552126195.905 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.906 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552126195.906 * [taylor]: Taking taylor expansion of k in n
1552126195.906 * [backup-simplify]: Simplify k into k
1552126195.906 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552126195.906 * [taylor]: Taking taylor expansion of 1/2 in n
1552126195.906 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.906 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1552126195.906 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1552126195.906 * [taylor]: Taking taylor expansion of -2 in n
1552126195.906 * [backup-simplify]: Simplify -2 into -2
1552126195.906 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552126195.906 * [taylor]: Taking taylor expansion of PI in n
1552126195.906 * [backup-simplify]: Simplify PI into PI
1552126195.906 * [taylor]: Taking taylor expansion of n in n
1552126195.906 * [backup-simplify]: Simplify 0 into 0
1552126195.906 * [backup-simplify]: Simplify 1 into 1
1552126195.906 * [backup-simplify]: Simplify (/ PI 1) into PI
1552126195.907 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552126195.908 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1552126195.908 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552126195.908 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1552126195.910 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552126195.911 * [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)))
1552126195.912 * [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))))
1552126195.912 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
1552126195.912 * [taylor]: Taking taylor expansion of (/ -1 k) in n
1552126195.912 * [taylor]: Taking taylor expansion of -1 in n
1552126195.912 * [backup-simplify]: Simplify -1 into -1
1552126195.912 * [taylor]: Taking taylor expansion of k in n
1552126195.912 * [backup-simplify]: Simplify k into k
1552126195.912 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
1552126195.912 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1552126195.912 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1552126195.913 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1552126195.914 * [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)))
1552126195.914 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k
1552126195.914 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1552126195.914 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
1552126195.914 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
1552126195.914 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1552126195.914 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1552126195.914 * [taylor]: Taking taylor expansion of 1/2 in k
1552126195.914 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.914 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552126195.914 * [taylor]: Taking taylor expansion of k in k
1552126195.914 * [backup-simplify]: Simplify 0 into 0
1552126195.914 * [backup-simplify]: Simplify 1 into 1
1552126195.915 * [backup-simplify]: Simplify (/ 1 1) into 1
1552126195.915 * [taylor]: Taking taylor expansion of 1/2 in k
1552126195.915 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.915 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
1552126195.915 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
1552126195.915 * [taylor]: Taking taylor expansion of -2 in k
1552126195.915 * [backup-simplify]: Simplify -2 into -2
1552126195.915 * [taylor]: Taking taylor expansion of (/ PI n) in k
1552126195.915 * [taylor]: Taking taylor expansion of PI in k
1552126195.915 * [backup-simplify]: Simplify PI into PI
1552126195.915 * [taylor]: Taking taylor expansion of n in k
1552126195.915 * [backup-simplify]: Simplify n into n
1552126195.915 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1552126195.915 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1552126195.915 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1552126195.916 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1552126195.916 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1552126195.916 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1552126195.916 * [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)))
1552126195.916 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
1552126195.916 * [taylor]: Taking taylor expansion of (/ -1 k) in k
1552126195.916 * [taylor]: Taking taylor expansion of -1 in k
1552126195.916 * [backup-simplify]: Simplify -1 into -1
1552126195.916 * [taylor]: Taking taylor expansion of k in k
1552126195.916 * [backup-simplify]: Simplify 0 into 0
1552126195.917 * [backup-simplify]: Simplify 1 into 1
1552126195.917 * [backup-simplify]: Simplify (/ -1 1) into -1
1552126195.917 * [backup-simplify]: Simplify (sqrt 0) into 0
1552126195.919 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1552126195.919 * [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))))
1552126195.919 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k
1552126195.919 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1552126195.919 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
1552126195.919 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
1552126195.919 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1552126195.919 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1552126195.919 * [taylor]: Taking taylor expansion of 1/2 in k
1552126195.919 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.919 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552126195.919 * [taylor]: Taking taylor expansion of k in k
1552126195.919 * [backup-simplify]: Simplify 0 into 0
1552126195.919 * [backup-simplify]: Simplify 1 into 1
1552126195.920 * [backup-simplify]: Simplify (/ 1 1) into 1
1552126195.920 * [taylor]: Taking taylor expansion of 1/2 in k
1552126195.920 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.920 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
1552126195.920 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
1552126195.920 * [taylor]: Taking taylor expansion of -2 in k
1552126195.920 * [backup-simplify]: Simplify -2 into -2
1552126195.920 * [taylor]: Taking taylor expansion of (/ PI n) in k
1552126195.920 * [taylor]: Taking taylor expansion of PI in k
1552126195.920 * [backup-simplify]: Simplify PI into PI
1552126195.920 * [taylor]: Taking taylor expansion of n in k
1552126195.920 * [backup-simplify]: Simplify n into n
1552126195.920 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1552126195.920 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1552126195.921 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1552126195.921 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1552126195.922 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1552126195.922 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1552126195.922 * [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)))
1552126195.922 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
1552126195.922 * [taylor]: Taking taylor expansion of (/ -1 k) in k
1552126195.922 * [taylor]: Taking taylor expansion of -1 in k
1552126195.922 * [backup-simplify]: Simplify -1 into -1
1552126195.922 * [taylor]: Taking taylor expansion of k in k
1552126195.922 * [backup-simplify]: Simplify 0 into 0
1552126195.922 * [backup-simplify]: Simplify 1 into 1
1552126195.923 * [backup-simplify]: Simplify (/ -1 1) into -1
1552126195.923 * [backup-simplify]: Simplify (sqrt 0) into 0
1552126195.924 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1552126195.925 * [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))))
1552126195.925 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
1552126195.925 * [taylor]: Taking taylor expansion of +nan.0 in n
1552126195.925 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552126195.925 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
1552126195.925 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1552126195.925 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1552126195.925 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1552126195.925 * [taylor]: Taking taylor expansion of -2 in n
1552126195.925 * [backup-simplify]: Simplify -2 into -2
1552126195.925 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552126195.925 * [taylor]: Taking taylor expansion of PI in n
1552126195.925 * [backup-simplify]: Simplify PI into PI
1552126195.925 * [taylor]: Taking taylor expansion of n in n
1552126195.925 * [backup-simplify]: Simplify 0 into 0
1552126195.925 * [backup-simplify]: Simplify 1 into 1
1552126195.926 * [backup-simplify]: Simplify (/ PI 1) into PI
1552126195.932 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552126195.933 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1552126195.933 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1552126195.933 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552126195.933 * [taylor]: Taking taylor expansion of 1/2 in n
1552126195.933 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.933 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552126195.933 * [taylor]: Taking taylor expansion of k in n
1552126195.933 * [backup-simplify]: Simplify k into k
1552126195.933 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552126195.934 * [taylor]: Taking taylor expansion of 1/2 in n
1552126195.934 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.935 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552126195.935 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552126195.935 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1552126195.936 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
1552126195.937 * [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))))
1552126195.939 * [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)))))
1552126195.940 * [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)))))
1552126195.941 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1552126195.944 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1552126195.945 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))
1552126195.945 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n
1552126195.945 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
1552126195.945 * [taylor]: Taking taylor expansion of +nan.0 in n
1552126195.945 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552126195.945 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
1552126195.945 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1552126195.945 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1552126195.945 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1552126195.945 * [taylor]: Taking taylor expansion of -2 in n
1552126195.945 * [backup-simplify]: Simplify -2 into -2
1552126195.945 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552126195.945 * [taylor]: Taking taylor expansion of PI in n
1552126195.945 * [backup-simplify]: Simplify PI into PI
1552126195.945 * [taylor]: Taking taylor expansion of n in n
1552126195.945 * [backup-simplify]: Simplify 0 into 0
1552126195.945 * [backup-simplify]: Simplify 1 into 1
1552126195.946 * [backup-simplify]: Simplify (/ PI 1) into PI
1552126195.946 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552126195.947 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1552126195.947 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1552126195.947 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552126195.947 * [taylor]: Taking taylor expansion of 1/2 in n
1552126195.947 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.947 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552126195.947 * [taylor]: Taking taylor expansion of k in n
1552126195.947 * [backup-simplify]: Simplify k into k
1552126195.947 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552126195.948 * [taylor]: Taking taylor expansion of 1/2 in n
1552126195.948 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.949 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552126195.949 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552126195.949 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1552126195.950 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
1552126195.951 * [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))))
1552126195.952 * [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)))))
1552126195.954 * [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))))))
1552126195.955 * [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))))))
1552126195.956 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552126195.956 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1552126195.957 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1552126195.957 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126195.958 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1552126195.959 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1552126195.961 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1552126195.963 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0
1552126195.964 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1552126195.966 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into 0
1552126195.966 * [backup-simplify]: Simplify 0 into 0
1552126195.967 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552126195.971 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1552126195.973 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))
1552126195.973 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n
1552126195.973 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
1552126195.973 * [taylor]: Taking taylor expansion of +nan.0 in n
1552126195.973 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552126195.973 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
1552126195.973 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1552126195.973 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1552126195.973 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1552126195.973 * [taylor]: Taking taylor expansion of -2 in n
1552126195.973 * [backup-simplify]: Simplify -2 into -2
1552126195.973 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552126195.973 * [taylor]: Taking taylor expansion of PI in n
1552126195.973 * [backup-simplify]: Simplify PI into PI
1552126195.973 * [taylor]: Taking taylor expansion of n in n
1552126195.973 * [backup-simplify]: Simplify 0 into 0
1552126195.973 * [backup-simplify]: Simplify 1 into 1
1552126195.974 * [backup-simplify]: Simplify (/ PI 1) into PI
1552126195.974 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552126195.975 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1552126195.975 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1552126195.975 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552126195.975 * [taylor]: Taking taylor expansion of 1/2 in n
1552126195.975 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.975 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552126195.975 * [taylor]: Taking taylor expansion of k in n
1552126195.975 * [backup-simplify]: Simplify k into k
1552126195.975 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552126195.975 * [taylor]: Taking taylor expansion of 1/2 in n
1552126195.975 * [backup-simplify]: Simplify 1/2 into 1/2
1552126195.976 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552126195.976 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552126195.976 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1552126195.976 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
1552126195.977 * [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))))
1552126195.978 * [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)))))
1552126195.978 * [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))))))
1552126195.979 * [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))))))
1552126195.982 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (* 1 (/ 1 (- k)))) (* +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)))))))))))
1552126195.982 * * * [progress]: simplifying candidates
1552126195.982 * * * * [progress]: [ 1 / 95 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (log1p (expm1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))))>
1552126195.982 * * * * [progress]: [ 2 / 95 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (expm1 (log1p (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))))>
1552126195.982 * * * * [progress]: [ 3 / 95 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (exp (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))))))))>
1552126195.982 * [simplify]: Simplifying (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))
1552126195.982 * * [simplify]: iters left: 6 (11 enodes)
1552126195.985 * * [simplify]: iters left: 5 (43 enodes)
1552126195.992 * * [simplify]: iters left: 4 (79 enodes)
1552126196.011 * * [simplify]: iters left: 3 (178 enodes)
1552126196.096 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126196.097 * * [simplify]: Extracting #1: cost 49 inf + 0
1552126196.097 * * [simplify]: Extracting #2: cost 115 inf + 1
1552126196.098 * * [simplify]: Extracting #3: cost 122 inf + 547
1552126196.099 * * [simplify]: Extracting #4: cost 98 inf + 3382
1552126196.102 * * [simplify]: Extracting #5: cost 29 inf + 17882
1552126196.107 * * [simplify]: Extracting #6: cost 1 inf + 26098
1552126196.115 * * [simplify]: Extracting #7: cost 0 inf + 26523
1552126196.127 * [simplify]: Simplified to (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))
1552126196.127 * [simplify]: Simplified (2 2 2 2 1) to (λ (k n) (/ 1 (* (sqrt k) (/ 1 (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))))))))
1552126196.128 * * * * [progress]: [ 4 / 95 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (exp (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))))))))>
1552126196.128 * * * * [progress]: [ 5 / 95 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (* 1 (- 1/2 (/ k 2))))))))>
1552126196.128 * [simplify]: Simplifying (* (* n 2) PI)
1552126196.128 * * [simplify]: iters left: 4 (5 enodes)
1552126196.131 * * [simplify]: iters left: 3 (19 enodes)
1552126196.137 * * [simplify]: iters left: 2 (27 enodes)
1552126196.145 * * [simplify]: iters left: 1 (32 enodes)
1552126196.149 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126196.149 * * [simplify]: Extracting #1: cost 8 inf + 0
1552126196.149 * * [simplify]: Extracting #2: cost 7 inf + 45
1552126196.149 * * [simplify]: Extracting #3: cost 0 inf + 421
1552126196.149 * [simplify]: Simplified to (* (* n 2) PI)
1552126196.149 * [simplify]: Simplified (2 2 2 2 1) to (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (* 1 (- 1/2 (/ k 2))))))))
1552126196.149 * * * * [progress]: [ 6 / 95 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (/ (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (/ k 2)))))))>
1552126196.150 * [simplify]: Simplifying (pow (* (* n 2) PI) (/ k 2))
1552126196.150 * * [simplify]: iters left: 5 (8 enodes)
1552126196.152 * * [simplify]: iters left: 4 (28 enodes)
1552126196.159 * * [simplify]: iters left: 3 (36 enodes)
1552126196.164 * * [simplify]: iters left: 2 (41 enodes)
1552126196.170 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126196.170 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126196.170 * * [simplify]: Extracting #2: cost 13 inf + 0
1552126196.170 * * [simplify]: Extracting #3: cost 12 inf + 4
1552126196.170 * * [simplify]: Extracting #4: cost 3 inf + 756
1552126196.170 * * [simplify]: Extracting #5: cost 0 inf + 1174
1552126196.170 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2))
1552126196.170 * [simplify]: Simplified (2 2 2 2 2) to (λ (k n) (/ 1 (* (sqrt k) (/ 1 (/ (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (/ k 2)))))))
1552126196.170 * * * * [progress]: [ 7 / 95 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (pow (* (* n 2) PI) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2))))))))>
1552126196.171 * [simplify]: Simplifying (cbrt (- 1/2 (/ k 2)))
1552126196.171 * * [simplify]: iters left: 5 (6 enodes)
1552126196.173 * * [simplify]: iters left: 4 (20 enodes)
1552126196.179 * * [simplify]: iters left: 3 (25 enodes)
1552126196.187 * * [simplify]: iters left: 2 (27 enodes)
1552126196.195 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126196.195 * * [simplify]: Extracting #1: cost 3 inf + 0
1552126196.195 * * [simplify]: Extracting #2: cost 7 inf + 0
1552126196.195 * * [simplify]: Extracting #3: cost 11 inf + 1
1552126196.195 * * [simplify]: Extracting #4: cost 9 inf + 44
1552126196.196 * * [simplify]: Extracting #5: cost 5 inf + 291
1552126196.196 * * [simplify]: Extracting #6: cost 1 inf + 662
1552126196.196 * * [simplify]: Extracting #7: cost 0 inf + 825
1552126196.196 * [simplify]: Simplified to (cbrt (- 1/2 (/ k 2)))
1552126196.197 * [simplify]: Simplified (2 2 2 2 2) to (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (pow (* (* n 2) PI) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2))))))))
1552126196.197 * * * * [progress]: [ 8 / 95 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (pow (* (* n 2) PI) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2))))))))>
1552126196.197 * [simplify]: Simplifying (sqrt (- 1/2 (/ k 2)))
1552126196.197 * * [simplify]: iters left: 5 (6 enodes)
1552126196.200 * * [simplify]: iters left: 4 (20 enodes)
1552126196.207 * * [simplify]: iters left: 3 (25 enodes)
1552126196.211 * * [simplify]: iters left: 2 (27 enodes)
1552126196.215 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126196.215 * * [simplify]: Extracting #1: cost 3 inf + 0
1552126196.215 * * [simplify]: Extracting #2: cost 7 inf + 0
1552126196.215 * * [simplify]: Extracting #3: cost 11 inf + 1
1552126196.215 * * [simplify]: Extracting #4: cost 9 inf + 44
1552126196.215 * * [simplify]: Extracting #5: cost 5 inf + 291
1552126196.215 * * [simplify]: Extracting #6: cost 1 inf + 622
1552126196.215 * * [simplify]: Extracting #7: cost 0 inf + 745
1552126196.216 * [simplify]: Simplified to (sqrt (- 1/2 (/ k 2)))
1552126196.216 * [simplify]: Simplified (2 2 2 2 2) to (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (pow (* (* n 2) PI) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2))))))))
1552126196.216 * * * * [progress]: [ 9 / 95 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2)))))))>
1552126196.216 * [simplify]: Simplifying (- 1/2 (/ k 2))
1552126196.216 * * [simplify]: iters left: 4 (5 enodes)
1552126196.218 * * [simplify]: iters left: 3 (17 enodes)
1552126196.220 * * [simplify]: iters left: 2 (22 enodes)
1552126196.224 * * [simplify]: iters left: 1 (24 enodes)
1552126196.228 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126196.228 * * [simplify]: Extracting #1: cost 5 inf + 0
1552126196.228 * * [simplify]: Extracting #2: cost 9 inf + 1
1552126196.228 * * [simplify]: Extracting #3: cost 1 inf + 458
1552126196.228 * * [simplify]: Extracting #4: cost 0 inf + 499
1552126196.228 * [simplify]: Simplified to (- 1/2 (/ k 2))
1552126196.228 * [simplify]: Simplified (2 2 2 2 2) to (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2)))))))
1552126196.228 * * * * [progress]: [ 10 / 95 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (* (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (- (/ k 2))))))))>
1552126196.228 * [simplify]: Simplifying (pow (* (* n 2) PI) (- (/ k 2)))
1552126196.228 * * [simplify]: iters left: 5 (9 enodes)
1552126196.231 * * [simplify]: iters left: 4 (33 enodes)
1552126196.238 * * [simplify]: iters left: 3 (43 enodes)
1552126196.250 * * [simplify]: iters left: 2 (48 enodes)
1552126196.263 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126196.263 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126196.263 * * [simplify]: Extracting #2: cost 14 inf + 0
1552126196.263 * * [simplify]: Extracting #3: cost 16 inf + 45
1552126196.263 * * [simplify]: Extracting #4: cost 10 inf + 297
1552126196.264 * * [simplify]: Extracting #5: cost 4 inf + 629
1552126196.264 * * [simplify]: Extracting #6: cost 0 inf + 1500
1552126196.265 * [simplify]: Simplified to (pow (* (* PI 2) n) (- (/ k 2)))
1552126196.265 * [simplify]: Simplified (2 2 2 2 2) to (λ (k n) (/ 1 (* (sqrt k) (/ 1 (* (pow (* (* n 2) PI) 1/2) (pow (* (* PI 2) n) (- (/ k 2))))))))
1552126196.265 * * * * [progress]: [ 11 / 95 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (* (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (- (/ k 2))))))))>
1552126196.265 * [simplify]: Simplifying (pow (* (* n 2) PI) (- (/ k 2)))
1552126196.265 * * [simplify]: iters left: 5 (9 enodes)
1552126196.270 * * [simplify]: iters left: 4 (33 enodes)
1552126196.282 * * [simplify]: iters left: 3 (43 enodes)
1552126196.292 * * [simplify]: iters left: 2 (48 enodes)
1552126196.299 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126196.299 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126196.299 * * [simplify]: Extracting #2: cost 14 inf + 0
1552126196.299 * * [simplify]: Extracting #3: cost 16 inf + 45
1552126196.299 * * [simplify]: Extracting #4: cost 10 inf + 297
1552126196.299 * * [simplify]: Extracting #5: cost 4 inf + 629
1552126196.299 * * [simplify]: Extracting #6: cost 0 inf + 1500
1552126196.300 * [simplify]: Simplified to (pow (* (* PI 2) n) (- (/ k 2)))
1552126196.300 * [simplify]: Simplified (2 2 2 2 2) to (λ (k n) (/ 1 (* (sqrt k) (/ 1 (* (pow (* (* n 2) PI) 1/2) (pow (* (* PI 2) n) (- (/ k 2))))))))
1552126196.300 * * * * [progress]: [ 12 / 95 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2))))))))>
1552126196.300 * [simplify]: Simplifying (pow (* n 2) (- 1/2 (/ k 2)))
1552126196.300 * * [simplify]: iters left: 5 (8 enodes)
1552126196.303 * * [simplify]: iters left: 4 (27 enodes)
1552126196.307 * * [simplify]: iters left: 3 (32 enodes)
1552126196.314 * * [simplify]: iters left: 2 (34 enodes)
1552126196.324 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126196.325 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126196.325 * * [simplify]: Extracting #2: cost 11 inf + 0
1552126196.325 * * [simplify]: Extracting #3: cost 12 inf + 3
1552126196.325 * * [simplify]: Extracting #4: cost 8 inf + 171
1552126196.325 * * [simplify]: Extracting #5: cost 1 inf + 918
1552126196.326 * * [simplify]: Extracting #6: cost 0 inf + 1252
1552126196.326 * [simplify]: Simplified to (pow (* n 2) (- 1/2 (/ k 2)))
1552126196.326 * [simplify]: Simplified (2 2 2 2 1) to (λ (k n) (/ 1 (* (sqrt k) (/ 1 (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2))))))))
1552126196.326 * * * * [progress]: [ 13 / 95 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (pow (* (* n 2) PI) (- 1/2 (/ k 2))) 1)))))>
1552126196.326 * * * * [progress]: [ 14 / 95 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (exp (log (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))))>
1552126196.326 * * * * [progress]: [ 15 / 95 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (log (exp (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))))>
1552126196.326 * * * * [progress]: [ 16 / 95 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (* (* (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)))))))))>
1552126196.327 * * * * [progress]: [ 17 / 95 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (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)))))))))>
1552126196.327 * * * * [progress]: [ 18 / 95 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))))>
1552126196.327 * * * * [progress]: [ 19 / 95 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (* 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1552126196.327 * * * * [progress]: [ 20 / 95 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (posit16->real (real->posit16 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))))>
1552126196.327 * * * * [progress]: [ 21 / 95 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (log1p (expm1 (* (* n 2) PI))) (- 1/2 (/ k 2)))))))>
1552126196.327 * * * * [progress]: [ 22 / 95 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (expm1 (log1p (* (* n 2) PI))) (- 1/2 (/ k 2)))))))>
1552126196.327 * * * * [progress]: [ 23 / 95 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2)))))))>
1552126196.327 * * * * [progress]: [ 24 / 95 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (exp (log (* (* n 2) PI))) (- 1/2 (/ k 2)))))))>
1552126196.327 * * * * [progress]: [ 25 / 95 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (log (exp (* (* n 2) PI))) (- 1/2 (/ k 2)))))))>
1552126196.327 * * * * [progress]: [ 26 / 95 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (* (* (cbrt (* (* n 2) PI)) (cbrt (* (* n 2) PI))) (cbrt (* (* n 2) PI))) (- 1/2 (/ k 2)))))))>
1552126196.327 * * * * [progress]: [ 27 / 95 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (cbrt (* (* (* (* n 2) PI) (* (* n 2) PI)) (* (* n 2) PI))) (- 1/2 (/ k 2)))))))>
1552126196.327 * * * * [progress]: [ 28 / 95 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (* (sqrt (* (* n 2) PI)) (sqrt (* (* n 2) PI))) (- 1/2 (/ k 2)))))))>
1552126196.327 * * * * [progress]: [ 29 / 95 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (* 1 (* (* n 2) PI)) (- 1/2 (/ k 2)))))))>
1552126196.327 * * * * [progress]: [ 30 / 95 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
1552126196.327 * * * * [progress]: [ 31 / 95 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (posit16->real (real->posit16 (* (* n 2) PI))) (- 1/2 (/ k 2)))))))>
1552126196.328 * * * * [progress]: [ 32 / 95 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))>
1552126196.328 * * * * [progress]: [ 33 / 95 ] simplifiying candidate #<alt (λ (k n) (/ 1 (log1p (expm1 (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))))>
1552126196.328 * * * * [progress]: [ 34 / 95 ] simplifiying candidate #<alt (λ (k n) (/ 1 (expm1 (log1p (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))))>
1552126196.328 * * * * [progress]: [ 35 / 95 ] simplifiying candidate #<alt (λ (k n) (/ 1 (pow (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1)))>
1552126196.328 * [simplify]: Simplifying (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1552126196.328 * * [simplify]: iters left: 6 (14 enodes)
1552126196.336 * * [simplify]: iters left: 5 (53 enodes)
1552126196.353 * * [simplify]: iters left: 4 (72 enodes)
1552126196.367 * * [simplify]: iters left: 3 (88 enodes)
1552126196.379 * * [simplify]: iters left: 2 (90 enodes)
1552126196.399 * * [simplify]: iters left: 1 (93 enodes)
1552126196.420 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126196.420 * * [simplify]: Extracting #1: cost 7 inf + 0
1552126196.420 * * [simplify]: Extracting #2: cost 13 inf + 1
1552126196.420 * * [simplify]: Extracting #3: cost 23 inf + 2
1552126196.420 * * [simplify]: Extracting #4: cost 20 inf + 215
1552126196.421 * * [simplify]: Extracting #5: cost 7 inf + 2458
1552126196.421 * * [simplify]: Extracting #6: cost 1 inf + 3949
1552126196.422 * * [simplify]: Extracting #7: cost 0 inf + 4404
1552126196.423 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* PI 2)) (- 1/2 (/ k 2))))
1552126196.423 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (pow (/ (sqrt k) (pow (* n (* PI 2)) (- 1/2 (/ k 2)))) 1)))
1552126196.423 * * * * [progress]: [ 36 / 95 ] simplifiying candidate #<alt (λ (k n) (/ 1 (pow (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1)))>
1552126196.423 * * * * [progress]: [ 37 / 95 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (+ (log (sqrt k)) (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))))))))>
1552126196.423 * [simplify]: Simplifying (+ (log (sqrt k)) (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))
1552126196.423 * * [simplify]: iters left: 6 (15 enodes)
1552126196.427 * * [simplify]: iters left: 5 (61 enodes)
1552126196.438 * * [simplify]: iters left: 4 (118 enodes)
1552126196.468 * * [simplify]: iters left: 3 (301 enodes)
1552126196.600 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126196.601 * * [simplify]: Extracting #1: cost 34 inf + 0
1552126196.601 * * [simplify]: Extracting #2: cost 191 inf + 1
1552126196.603 * * [simplify]: Extracting #3: cost 252 inf + 3
1552126196.606 * * [simplify]: Extracting #4: cost 210 inf + 5620
1552126196.619 * * [simplify]: Extracting #5: cost 69 inf + 38352
1552126196.630 * * [simplify]: Extracting #6: cost 5 inf + 55728
1552126196.643 * * [simplify]: Extracting #7: cost 0 inf + 57303
1552126196.664 * [simplify]: Simplified to (fma (+ -1/2 (/ k 2)) (log (* (* n 2) PI)) (log (sqrt k)))
1552126196.664 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (fma (+ -1/2 (/ k 2)) (log (* (* n 2) PI)) (log (sqrt k))))))
1552126196.664 * * * * [progress]: [ 38 / 95 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (+ (log (sqrt k)) (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))))))))>
1552126196.664 * [simplify]: Simplifying (+ (log (sqrt k)) (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))
1552126196.664 * * [simplify]: iters left: 6 (15 enodes)
1552126196.668 * * [simplify]: iters left: 5 (61 enodes)
1552126196.678 * * [simplify]: iters left: 4 (118 enodes)
1552126196.712 * * [simplify]: iters left: 3 (301 enodes)
1552126196.825 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126196.825 * * [simplify]: Extracting #1: cost 34 inf + 0
1552126196.826 * * [simplify]: Extracting #2: cost 191 inf + 1
1552126196.827 * * [simplify]: Extracting #3: cost 252 inf + 3
1552126196.828 * * [simplify]: Extracting #4: cost 210 inf + 5620
1552126196.838 * * [simplify]: Extracting #5: cost 69 inf + 38352
1552126196.861 * * [simplify]: Extracting #6: cost 5 inf + 55728
1552126196.891 * * [simplify]: Extracting #7: cost 0 inf + 57303
1552126196.916 * [simplify]: Simplified to (fma (+ -1/2 (/ k 2)) (log (* (* n 2) PI)) (log (sqrt k)))
1552126196.916 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (fma (+ -1/2 (/ k 2)) (log (* (* n 2) PI)) (log (sqrt k))))))
1552126196.917 * * * * [progress]: [ 39 / 95 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (+ (log (sqrt k)) (- (log (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))))>
1552126196.917 * [simplify]: Simplifying (+ (log (sqrt k)) (- (log (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1552126196.918 * * [simplify]: iters left: 6 (15 enodes)
1552126196.925 * * [simplify]: iters left: 5 (55 enodes)
1552126196.942 * * [simplify]: iters left: 4 (82 enodes)
1552126196.958 * * [simplify]: iters left: 3 (166 enodes)
1552126197.002 * * [simplify]: iters left: 2 (431 enodes)
1552126197.178 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126197.179 * * [simplify]: Extracting #1: cost 50 inf + 0
1552126197.180 * * [simplify]: Extracting #2: cost 251 inf + 0
1552126197.183 * * [simplify]: Extracting #3: cost 285 inf + 802
1552126197.192 * * [simplify]: Extracting #4: cost 161 inf + 25552
1552126197.220 * * [simplify]: Extracting #5: cost 30 inf + 62764
1552126197.258 * * [simplify]: Extracting #6: cost 0 inf + 70858
1552126197.278 * * [simplify]: Extracting #7: cost 0 inf + 70818
1552126197.295 * [simplify]: Simplified to (fma (log (* (* n 2) PI)) (+ -1/2 (/ k 2)) (log (sqrt k)))
1552126197.295 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (fma (log (* (* n 2) PI)) (+ -1/2 (/ k 2)) (log (sqrt k))))))
1552126197.295 * * * * [progress]: [ 40 / 95 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (+ (log (sqrt k)) (log (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))))>
1552126197.295 * [simplify]: Simplifying (+ (log (sqrt k)) (log (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1552126197.295 * * [simplify]: iters left: 6 (16 enodes)
1552126197.301 * * [simplify]: iters left: 5 (61 enodes)
1552126197.320 * * [simplify]: iters left: 4 (81 enodes)
1552126197.344 * * [simplify]: iters left: 3 (112 enodes)
1552126197.369 * * [simplify]: iters left: 2 (215 enodes)
1552126197.461 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126197.461 * * [simplify]: Extracting #1: cost 43 inf + 0
1552126197.462 * * [simplify]: Extracting #2: cost 159 inf + 1
1552126197.463 * * [simplify]: Extracting #3: cost 184 inf + 4
1552126197.466 * * [simplify]: Extracting #4: cost 162 inf + 4655
1552126197.471 * * [simplify]: Extracting #5: cost 70 inf + 21843
1552126197.479 * * [simplify]: Extracting #6: cost 4 inf + 39754
1552126197.488 * * [simplify]: Extracting #7: cost 0 inf + 40636
1552126197.503 * [simplify]: Simplified to (fma (log (* PI (* n 2))) (+ -1/2 (/ k 2)) (log (sqrt k)))
1552126197.503 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (fma (log (* PI (* n 2))) (+ -1/2 (/ k 2)) (log (sqrt k))))))
1552126197.503 * * * * [progress]: [ 41 / 95 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (log (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))))>
1552126197.503 * * * * [progress]: [ 42 / 95 ] simplifiying candidate #<alt (λ (k n) (/ 1 (log (exp (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))))>
1552126197.503 * * * * [progress]: [ 43 / 95 ] simplifiying candidate #<alt (λ (k n) (/ 1 (cbrt (* (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))))>
1552126197.504 * [simplify]: Simplifying (* (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1552126197.504 * * [simplify]: iters left: 6 (18 enodes)
1552126197.512 * * [simplify]: iters left: 5 (73 enodes)
1552126197.535 * * [simplify]: iters left: 4 (126 enodes)
1552126197.583 * * [simplify]: iters left: 3 (235 enodes)
1552126197.660 * * [simplify]: iters left: 2 (349 enodes)
1552126197.766 * * [simplify]: iters left: 1 (406 enodes)
1552126197.910 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126197.910 * * [simplify]: Extracting #1: cost 34 inf + 0
1552126197.911 * * [simplify]: Extracting #2: cost 60 inf + 43
1552126197.912 * * [simplify]: Extracting #3: cost 67 inf + 247
1552126197.913 * * [simplify]: Extracting #4: cost 66 inf + 418
1552126197.915 * * [simplify]: Extracting #5: cost 46 inf + 6664
1552126197.928 * * [simplify]: Extracting #6: cost 9 inf + 22772
1552126197.942 * * [simplify]: Extracting #7: cost 0 inf + 27145
1552126197.950 * [simplify]: Simplified to (/ (/ (* 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)))))
1552126197.951 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (cbrt (/ (/ (* 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))))))))
1552126197.951 * * * * [progress]: [ 44 / 95 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (* (cbrt (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (cbrt (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) (cbrt (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))))>
1552126197.951 * * * * [progress]: [ 45 / 95 ] simplifiying candidate #<alt (λ (k n) (/ 1 (cbrt (* (* (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))))>
1552126197.951 * * * * [progress]: [ 46 / 95 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (sqrt (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))))>
1552126197.951 * * * * [progress]: [ 47 / 95 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* 1 (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1552126197.951 * * * * [progress]: [ 48 / 95 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1552126197.951 * [simplify]: Simplifying (pow (* (* n 2) PI) (- 1/2 (/ k 2)))
1552126197.951 * * [simplify]: iters left: 5 (10 enodes)
1552126197.954 * * [simplify]: iters left: 4 (36 enodes)
1552126197.962 * * [simplify]: iters left: 3 (49 enodes)
1552126197.976 * * [simplify]: iters left: 2 (56 enodes)
1552126197.990 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126197.990 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126197.990 * * [simplify]: Extracting #2: cost 15 inf + 0
1552126197.990 * * [simplify]: Extracting #3: cost 18 inf + 4
1552126197.991 * * [simplify]: Extracting #4: cost 7 inf + 630
1552126197.991 * * [simplify]: Extracting #5: cost 0 inf + 1669
1552126197.992 * [simplify]: Simplified to (pow (* (* n 2) PI) (- 1/2 (/ k 2)))
1552126197.992 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1552126197.992 * * * * [progress]: [ 49 / 95 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (* (sqrt k) (* (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1552126197.993 * [simplify]: Simplifying (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1552126197.993 * * [simplify]: iters left: 6 (13 enodes)
1552126198.000 * * [simplify]: iters left: 5 (47 enodes)
1552126198.014 * * [simplify]: iters left: 4 (62 enodes)
1552126198.023 * * [simplify]: iters left: 3 (69 enodes)
1552126198.032 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126198.032 * * [simplify]: Extracting #1: cost 3 inf + 0
1552126198.032 * * [simplify]: Extracting #2: cost 6 inf + 0
1552126198.032 * * [simplify]: Extracting #3: cost 8 inf + 1
1552126198.032 * * [simplify]: Extracting #4: cost 19 inf + 1
1552126198.032 * * [simplify]: Extracting #5: cost 17 inf + 297
1552126198.032 * * [simplify]: Extracting #6: cost 10 inf + 632
1552126198.033 * * [simplify]: Extracting #7: cost 2 inf + 2996
1552126198.033 * * [simplify]: Extracting #8: cost 0 inf + 3494
1552126198.034 * [simplify]: Simplified to (cbrt (/ 1 (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))
1552126198.034 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (sqrt k) (* (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) (cbrt (/ 1 (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))))))
1552126198.034 * * * * [progress]: [ 50 / 95 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (* (sqrt k) (sqrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (sqrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1552126198.034 * [simplify]: Simplifying (sqrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1552126198.034 * * [simplify]: iters left: 6 (13 enodes)
1552126198.038 * * [simplify]: iters left: 5 (47 enodes)
1552126198.047 * * [simplify]: iters left: 4 (62 enodes)
1552126198.056 * * [simplify]: iters left: 3 (69 enodes)
1552126198.065 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126198.065 * * [simplify]: Extracting #1: cost 3 inf + 0
1552126198.065 * * [simplify]: Extracting #2: cost 6 inf + 0
1552126198.065 * * [simplify]: Extracting #3: cost 8 inf + 1
1552126198.065 * * [simplify]: Extracting #4: cost 19 inf + 1
1552126198.066 * * [simplify]: Extracting #5: cost 17 inf + 297
1552126198.066 * * [simplify]: Extracting #6: cost 10 inf + 632
1552126198.066 * * [simplify]: Extracting #7: cost 2 inf + 2916
1552126198.067 * * [simplify]: Extracting #8: cost 0 inf + 3414
1552126198.067 * [simplify]: Simplified to (sqrt (/ 1 (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))
1552126198.067 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (sqrt k) (sqrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (sqrt (/ 1 (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))))))
1552126198.067 * * * * [progress]: [ 51 / 95 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (* (sqrt k) 1) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1552126198.068 * [simplify]: Simplifying (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
1552126198.068 * * [simplify]: iters left: 6 (12 enodes)
1552126198.072 * * [simplify]: iters left: 5 (44 enodes)
1552126198.086 * * [simplify]: iters left: 4 (59 enodes)
1552126198.102 * * [simplify]: iters left: 3 (66 enodes)
1552126198.120 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126198.120 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126198.120 * * [simplify]: Extracting #2: cost 6 inf + 1
1552126198.120 * * [simplify]: Extracting #3: cost 17 inf + 1
1552126198.120 * * [simplify]: Extracting #4: cost 15 inf + 297
1552126198.121 * * [simplify]: Extracting #5: cost 8 inf + 673
1552126198.122 * * [simplify]: Extracting #6: cost 1 inf + 2127
1552126198.122 * * [simplify]: Extracting #7: cost 0 inf + 2502
1552126198.123 * [simplify]: Simplified to (/ 1 (pow (* n (* PI 2)) (- 1/2 (/ k 2))))
1552126198.123 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (sqrt k) 1) (/ 1 (pow (* n (* PI 2)) (- 1/2 (/ k 2)))))))
1552126198.123 * * * * [progress]: [ 52 / 95 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (* (sqrt k) 1) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1552126198.124 * [simplify]: Simplifying (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
1552126198.124 * * [simplify]: iters left: 6 (12 enodes)
1552126198.130 * * [simplify]: iters left: 5 (44 enodes)
1552126198.137 * * [simplify]: iters left: 4 (59 enodes)
1552126198.145 * * [simplify]: iters left: 3 (66 enodes)
1552126198.157 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126198.157 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126198.157 * * [simplify]: Extracting #2: cost 6 inf + 1
1552126198.157 * * [simplify]: Extracting #3: cost 17 inf + 1
1552126198.157 * * [simplify]: Extracting #4: cost 15 inf + 297
1552126198.157 * * [simplify]: Extracting #5: cost 8 inf + 673
1552126198.158 * * [simplify]: Extracting #6: cost 1 inf + 2127
1552126198.158 * * [simplify]: Extracting #7: cost 0 inf + 2502
1552126198.158 * [simplify]: Simplified to (/ 1 (pow (* n (* PI 2)) (- 1/2 (/ k 2))))
1552126198.158 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (sqrt k) 1) (/ 1 (pow (* n (* PI 2)) (- 1/2 (/ k 2)))))))
1552126198.158 * * * * [progress]: [ 53 / 95 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (* (sqrt k) (/ 1 (pow (* (* n 2) PI) 1/2))) (pow (* (* n 2) PI) (/ k 2)))))>
1552126198.159 * [simplify]: Simplifying (pow (* (* n 2) PI) (/ k 2))
1552126198.159 * * [simplify]: iters left: 5 (8 enodes)
1552126198.161 * * [simplify]: iters left: 4 (28 enodes)
1552126198.169 * * [simplify]: iters left: 3 (36 enodes)
1552126198.179 * * [simplify]: iters left: 2 (41 enodes)
1552126198.189 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126198.189 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126198.189 * * [simplify]: Extracting #2: cost 13 inf + 0
1552126198.190 * * [simplify]: Extracting #3: cost 12 inf + 4
1552126198.190 * * [simplify]: Extracting #4: cost 3 inf + 756
1552126198.190 * * [simplify]: Extracting #5: cost 0 inf + 1174
1552126198.191 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2))
1552126198.191 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (sqrt k) (/ 1 (pow (* (* n 2) PI) 1/2))) (pow (* (* n 2) PI) (/ k 2)))))
1552126198.191 * * * * [progress]: [ 54 / 95 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (sqrt k)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1552126198.191 * [simplify]: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k)))
1552126198.191 * * [simplify]: iters left: 4 (4 enodes)
1552126198.193 * * [simplify]: iters left: 3 (12 enodes)
1552126198.196 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126198.196 * * [simplify]: Extracting #1: cost 3 inf + 0
1552126198.196 * * [simplify]: Extracting #2: cost 5 inf + 0
1552126198.196 * * [simplify]: Extracting #3: cost 7 inf + 0
1552126198.196 * * [simplify]: Extracting #4: cost 6 inf + 1
1552126198.197 * * [simplify]: Extracting #5: cost 0 inf + 647
1552126198.197 * [simplify]: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k)))
1552126198.197 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (sqrt k)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))
1552126198.197 * * * * [progress]: [ 55 / 95 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt (sqrt k)) (* (sqrt (sqrt k)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1552126198.197 * [simplify]: Simplifying (sqrt (sqrt k))
1552126198.197 * * [simplify]: iters left: 2 (3 enodes)
1552126198.199 * * [simplify]: iters left: 1 (9 enodes)
1552126198.201 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126198.201 * * [simplify]: Extracting #1: cost 3 inf + 0
1552126198.201 * * [simplify]: Extracting #2: cost 5 inf + 0
1552126198.201 * * [simplify]: Extracting #3: cost 4 inf + 1
1552126198.201 * * [simplify]: Extracting #4: cost 0 inf + 245
1552126198.201 * [simplify]: Simplified to (sqrt (sqrt k))
1552126198.201 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (* (sqrt (sqrt k)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))
1552126198.202 * * * * [progress]: [ 56 / 95 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* 1 (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1552126198.202 * * * * [progress]: [ 57 / 95 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (* (sqrt k) 1) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1552126198.202 * [simplify]: Simplifying (pow (* (* n 2) PI) (- 1/2 (/ k 2)))
1552126198.202 * * [simplify]: iters left: 5 (10 enodes)
1552126198.208 * * [simplify]: iters left: 4 (36 enodes)
1552126198.219 * * [simplify]: iters left: 3 (49 enodes)
1552126198.234 * * [simplify]: iters left: 2 (56 enodes)
1552126198.248 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126198.249 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126198.249 * * [simplify]: Extracting #2: cost 15 inf + 0
1552126198.249 * * [simplify]: Extracting #3: cost 18 inf + 4
1552126198.249 * * [simplify]: Extracting #4: cost 7 inf + 630
1552126198.250 * * [simplify]: Extracting #5: cost 0 inf + 1669
1552126198.250 * [simplify]: Simplified to (pow (* (* n 2) PI) (- 1/2 (/ k 2)))
1552126198.250 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (* (sqrt k) 1) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1552126198.251 * * * * [progress]: [ 58 / 95 ] simplifiying candidate #<alt (λ (k n) (/ 1 (posit16->real (real->posit16 (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))))>
1552126198.251 * * * * [progress]: [ 59 / 95 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))>
1552126198.251 * * * * [progress]: [ 60 / 95 ] simplifiying candidate #<alt (λ (k n) (log1p (expm1 (/ 1 (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))))>
1552126198.251 * * * * [progress]: [ 61 / 95 ] simplifiying candidate #<alt (λ (k n) (expm1 (log1p (/ 1 (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))))>
1552126198.251 * * * * [progress]: [ 62 / 95 ] simplifiying candidate #<alt (λ (k n) (pow (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) -1))>
1552126198.251 * * * * [progress]: [ 63 / 95 ] simplifiying candidate #<alt (λ (k n) (pow (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (- 1)))>
1552126198.251 * [simplify]: Simplifying (- 1)
1552126198.251 * * [simplify]: iters left: 2 (2 enodes)
1552126198.254 * * [simplify]: iters left: 1 (9 enodes)
1552126198.257 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126198.257 * * [simplify]: Extracting #1: cost 0 inf + 1
1552126198.257 * [simplify]: Simplified to -1
1552126198.258 * [simplify]: Simplified (2 2) to (λ (k n) (pow (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) -1))
1552126198.258 * * * * [progress]: [ 64 / 95 ] simplifiying candidate #<alt (λ (k n) (pow (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (- 1)))>
1552126198.258 * [simplify]: Simplifying (- 1)
1552126198.258 * * [simplify]: iters left: 2 (2 enodes)
1552126198.260 * * [simplify]: iters left: 1 (9 enodes)
1552126198.263 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126198.263 * * [simplify]: Extracting #1: cost 0 inf + 1
1552126198.263 * [simplify]: Simplified to -1
1552126198.263 * [simplify]: Simplified (2 2) to (λ (k n) (pow (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) -1))
1552126198.264 * * * * [progress]: [ 65 / 95 ] simplifiying candidate #<alt (λ (k n) (pow (/ 1 (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) 1))>
1552126198.264 * * * * [progress]: [ 66 / 95 ] simplifiying candidate #<alt (λ (k n) (exp (- (+ (log (sqrt k)) (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))))))))>
1552126198.264 * * * * [progress]: [ 67 / 95 ] simplifiying candidate #<alt (λ (k n) (exp (- (+ (log (sqrt k)) (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))))))))>
1552126198.264 * * * * [progress]: [ 68 / 95 ] simplifiying candidate #<alt (λ (k n) (exp (- (+ (log (sqrt k)) (- (log (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))))>
1552126198.264 * * * * [progress]: [ 69 / 95 ] simplifiying candidate #<alt (λ (k n) (exp (- (+ (log (sqrt k)) (log (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))))>
1552126198.264 * * * * [progress]: [ 70 / 95 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))))>
1552126198.264 * * * * [progress]: [ 71 / 95 ] simplifiying candidate #<alt (λ (k n) (exp (log (/ 1 (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))))>
1552126198.264 * * * * [progress]: [ 72 / 95 ] simplifiying candidate #<alt (λ (k n) (log (exp (/ 1 (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))))>
1552126198.264 * * * * [progress]: [ 73 / 95 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (/ 1 (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) (cbrt (/ 1 (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))) (cbrt (/ 1 (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))))>
1552126198.264 * * * * [progress]: [ 74 / 95 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (/ 1 (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ 1 (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) (/ 1 (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))))>
1552126198.264 * * * * [progress]: [ 75 / 95 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) (sqrt (/ 1 (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))))>
1552126198.264 * * * * [progress]: [ 76 / 95 ] simplifiying candidate #<alt (λ (k n) (/ (- 1) (- (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1552126198.264 * * * * [progress]: [ 77 / 95 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ 1 (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1552126198.264 * * * * [progress]: [ 78 / 95 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ 1 (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1552126198.265 * * * * [progress]: [ 79 / 95 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1)))>
1552126198.265 * * * * [progress]: [ 80 / 95 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1552126198.265 * [simplify]: Simplifying (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
1552126198.265 * * [simplify]: iters left: 6 (12 enodes)
1552126198.271 * * [simplify]: iters left: 5 (44 enodes)
1552126198.285 * * [simplify]: iters left: 4 (59 enodes)
1552126198.302 * * [simplify]: iters left: 3 (66 enodes)
1552126198.318 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126198.318 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126198.318 * * [simplify]: Extracting #2: cost 6 inf + 1
1552126198.318 * * [simplify]: Extracting #3: cost 17 inf + 1
1552126198.319 * * [simplify]: Extracting #4: cost 15 inf + 297
1552126198.319 * * [simplify]: Extracting #5: cost 8 inf + 673
1552126198.319 * * [simplify]: Extracting #6: cost 1 inf + 2127
1552126198.319 * * [simplify]: Extracting #7: cost 0 inf + 2502
1552126198.320 * [simplify]: Simplified to (/ 1 (pow (* n (* PI 2)) (- 1/2 (/ k 2))))
1552126198.320 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* PI 2)) (- 1/2 (/ k 2))))))
1552126198.320 * * * * [progress]: [ 81 / 95 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))>
1552126198.320 * [simplify]: Simplifying (pow (* (* n 2) PI) (- 1/2 (/ k 2)))
1552126198.320 * * [simplify]: iters left: 5 (10 enodes)
1552126198.323 * * [simplify]: iters left: 4 (36 enodes)
1552126198.328 * * [simplify]: iters left: 3 (49 enodes)
1552126198.336 * * [simplify]: iters left: 2 (56 enodes)
1552126198.343 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126198.343 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126198.343 * * [simplify]: Extracting #2: cost 15 inf + 0
1552126198.343 * * [simplify]: Extracting #3: cost 18 inf + 4
1552126198.343 * * [simplify]: Extracting #4: cost 7 inf + 630
1552126198.344 * * [simplify]: Extracting #5: cost 0 inf + 1669
1552126198.344 * [simplify]: Simplified to (pow (* (* n 2) PI) (- 1/2 (/ k 2)))
1552126198.344 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1552126198.344 * * * * [progress]: [ 82 / 95 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (* (sqrt k) 1)) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))>
1552126198.344 * [simplify]: Simplifying (pow (* (* n 2) PI) (- 1/2 (/ k 2)))
1552126198.344 * * [simplify]: iters left: 5 (10 enodes)
1552126198.347 * * [simplify]: iters left: 4 (36 enodes)
1552126198.353 * * [simplify]: iters left: 3 (49 enodes)
1552126198.360 * * [simplify]: iters left: 2 (56 enodes)
1552126198.373 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126198.373 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126198.373 * * [simplify]: Extracting #2: cost 15 inf + 0
1552126198.373 * * [simplify]: Extracting #3: cost 18 inf + 4
1552126198.374 * * [simplify]: Extracting #4: cost 7 inf + 630
1552126198.374 * * [simplify]: Extracting #5: cost 0 inf + 1669
1552126198.375 * [simplify]: Simplified to (pow (* (* n 2) PI) (- 1/2 (/ k 2)))
1552126198.375 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (* (sqrt k) 1)) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1552126198.375 * * * * [progress]: [ 83 / 95 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (/ 1 (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))))>
1552126198.375 * * * * [progress]: [ 84 / 95 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (- (+ (* 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)))))))))>
1552126198.376 * [simplify]: Simplifying (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)))))
1552126198.376 * * [simplify]: iters left: 6 (37 enodes)
1552126198.397 * * [simplify]: iters left: 5 (182 enodes)
1552126198.469 * * [simplify]: iters left: 4 (487 enodes)
1552126198.749 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126198.750 * * [simplify]: Extracting #1: cost 74 inf + 0
1552126198.752 * * [simplify]: Extracting #2: cost 339 inf + 3
1552126198.756 * * [simplify]: Extracting #3: cost 496 inf + 559
1552126198.766 * * [simplify]: Extracting #4: cost 330 inf + 53115
1552126198.810 * * [simplify]: Extracting #5: cost 70 inf + 174349
1552126199.304 * * [simplify]: Extracting #6: cost 0 inf + 222643
1552126199.391 * * [simplify]: Extracting #7: cost 0 inf + 219647
1552126199.467 * * [simplify]: Extracting #8: cost 0 inf + 219582
1552126199.553 * [simplify]: Simplified to (fma -1/2 (* (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (+ (log n) (log (* PI 2)))) k) (fma (* 1/4 (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k k) (log n)))) (log (* PI 2)) (fma (* (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) 1/8) (* k k)) (* (log (* PI 2)) (log (* PI 2))) (fma (* (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) 1/8) (* k k)) (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))))
1552126199.553 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (sqrt k) (/ 1 (fma -1/2 (* (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (+ (log n) (log (* PI 2)))) k) (fma (* 1/4 (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k k) (log n)))) (log (* PI 2)) (fma (* (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) 1/8) (* k k)) (* (log (* PI 2)) (log (* PI 2))) (fma (* (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) 1/8) (* k k)) (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))))))))
1552126199.554 * * * * [progress]: [ 85 / 95 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))))))>
1552126199.554 * [simplify]: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))
1552126199.554 * * [simplify]: iters left: 6 (15 enodes)
1552126199.562 * * [simplify]: iters left: 5 (63 enodes)
1552126199.575 * * [simplify]: iters left: 4 (108 enodes)
1552126199.602 * * [simplify]: iters left: 3 (268 enodes)
1552126199.730 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126199.730 * * [simplify]: Extracting #1: cost 16 inf + 0
1552126199.731 * * [simplify]: Extracting #2: cost 116 inf + 0
1552126199.732 * * [simplify]: Extracting #3: cost 211 inf + 668
1552126199.736 * * [simplify]: Extracting #4: cost 149 inf + 9715
1552126199.743 * * [simplify]: Extracting #5: cost 42 inf + 34460
1552126199.752 * * [simplify]: Extracting #6: cost 0 inf + 46240
1552126199.764 * * [simplify]: Extracting #7: cost 0 inf + 45870
1552126199.782 * [simplify]: Simplified to (pow (* (* 2 PI) n) (fma k -1/2 1/2))
1552126199.782 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (* (* 2 PI) n) (fma k -1/2 1/2))))))
1552126199.782 * * * * [progress]: [ 86 / 95 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))))))>
1552126199.783 * [simplify]: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
1552126199.783 * * [simplify]: iters left: 6 (15 enodes)
1552126199.791 * * [simplify]: iters left: 5 (60 enodes)
1552126199.811 * * [simplify]: iters left: 4 (111 enodes)
1552126199.853 * * [simplify]: iters left: 3 (302 enodes)
1552126200.028 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126200.028 * * [simplify]: Extracting #1: cost 16 inf + 0
1552126200.029 * * [simplify]: Extracting #2: cost 144 inf + 0
1552126200.031 * * [simplify]: Extracting #3: cost 312 inf + 558
1552126200.035 * * [simplify]: Extracting #4: cost 279 inf + 4663
1552126200.050 * * [simplify]: Extracting #5: cost 100 inf + 51858
1552126200.080 * * [simplify]: Extracting #6: cost 2 inf + 80601
1552126200.111 * * [simplify]: Extracting #7: cost 0 inf + 76621
1552126200.139 * * [simplify]: Extracting #8: cost 0 inf + 76306
1552126200.154 * [simplify]: Simplified to (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))
1552126200.154 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))))))
1552126200.154 * * * * [progress]: [ 87 / 95 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))))))>
1552126200.154 * [simplify]: Simplifying (* 2 (* n PI))
1552126200.154 * * [simplify]: iters left: 4 (5 enodes)
1552126200.156 * * [simplify]: iters left: 3 (19 enodes)
1552126200.159 * * [simplify]: iters left: 2 (27 enodes)
1552126200.165 * * [simplify]: iters left: 1 (32 enodes)
1552126200.173 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126200.173 * * [simplify]: Extracting #1: cost 8 inf + 0
1552126200.173 * * [simplify]: Extracting #2: cost 7 inf + 45
1552126200.173 * * [simplify]: Extracting #3: cost 0 inf + 421
1552126200.173 * [simplify]: Simplified to (* (* PI n) 2)
1552126200.173 * [simplify]: Simplified (2 2 2 2 1) to (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))))
1552126200.173 * * * * [progress]: [ 88 / 95 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))))))>
1552126200.174 * [simplify]: Simplifying (* 2 (* n PI))
1552126200.174 * * [simplify]: iters left: 4 (5 enodes)
1552126200.177 * * [simplify]: iters left: 3 (19 enodes)
1552126200.182 * * [simplify]: iters left: 2 (27 enodes)
1552126200.190 * * [simplify]: iters left: 1 (32 enodes)
1552126200.198 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126200.198 * * [simplify]: Extracting #1: cost 8 inf + 0
1552126200.198 * * [simplify]: Extracting #2: cost 7 inf + 45
1552126200.199 * * [simplify]: Extracting #3: cost 0 inf + 421
1552126200.199 * [simplify]: Simplified to (* (* PI n) 2)
1552126200.199 * [simplify]: Simplified (2 2 2 2 1) to (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))))
1552126200.199 * * * * [progress]: [ 89 / 95 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))))))>
1552126200.200 * [simplify]: Simplifying (* 2 (* n PI))
1552126200.200 * * [simplify]: iters left: 4 (5 enodes)
1552126200.203 * * [simplify]: iters left: 3 (19 enodes)
1552126200.208 * * [simplify]: iters left: 2 (27 enodes)
1552126200.217 * * [simplify]: iters left: 1 (32 enodes)
1552126200.225 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126200.225 * * [simplify]: Extracting #1: cost 8 inf + 0
1552126200.225 * * [simplify]: Extracting #2: cost 7 inf + 45
1552126200.225 * * [simplify]: Extracting #3: cost 0 inf + 421
1552126200.225 * [simplify]: Simplified to (* (* PI n) 2)
1552126200.226 * [simplify]: Simplified (2 2 2 2 1) to (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))))
1552126200.226 * * * * [progress]: [ 90 / 95 ] simplifiying candidate #<alt (λ (k n) (/ 1 (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (+ (* +nan.0 (/ (* n (* (sqrt 1/2) k)) (pow PI 2))) (- (+ (* +nan.0 (/ (* (log n) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2)))) PI)) (- (* +nan.0 (/ (* (sqrt 1/2) k) PI)))))))))))))>
1552126200.226 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (+ (* +nan.0 (/ (* n (* (sqrt 1/2) k)) (pow PI 2))) (- (+ (* +nan.0 (/ (* (log n) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2)))) PI)) (- (* +nan.0 (/ (* (sqrt 1/2) k) PI)))))))))))
1552126200.226 * [simplify]: Simplified (2 2) to (λ (k n) (/ 1 +nan.0))
1552126200.226 * * * * [progress]: [ 91 / 95 ] simplifiying candidate #<alt (λ (k n) (/ 1 (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))))))))))))>
1552126200.227 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))))))))))
1552126200.227 * [simplify]: Simplified (2 2) to (λ (k n) (/ 1 +nan.0))
1552126200.227 * * * * [progress]: [ 92 / 95 ] simplifiying candidate #<alt (λ (k n) (/ 1 (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))))))))>
1552126200.227 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))))))
1552126200.227 * [simplify]: Simplified (2 2) to (λ (k n) (/ 1 +nan.0))
1552126200.228 * * * * [progress]: [ 93 / 95 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))))>
1552126200.228 * [simplify]: Simplifying (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2)))))))))))))
1552126200.228 * [simplify]: Simplified (2) to (λ (k n) +nan.0)
1552126200.228 * * * * [progress]: [ 94 / 95 ] 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)))))))))>
1552126200.228 * [simplify]: Simplifying (- (+ (* +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))))))))
1552126200.228 * [simplify]: Simplified (2) to (λ (k n) +nan.0)
1552126200.229 * * * * [progress]: [ 95 / 95 ] 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))))))))))))>
1552126200.229 * [simplify]: Simplifying (- (+ (* +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)))))))))))
1552126200.229 * [simplify]: Simplified (2) to (λ (k n) +nan.0)
1552126200.229 * * * [progress]: adding candidates to table
1552126201.373 * * [progress]: iteration 4 / 4
1552126201.373 * * * [progress]: picking best candidate
1552126201.403 * * * * [pick]: Picked  #<alt (λ (k n) (/ (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)) (sqrt k)))>
1552126201.403 * * * [progress]: localizing error
1552126201.446 * * * [progress]: generating rewritten candidates
1552126201.446 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1)
1552126201.452 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1)
1552126201.459 * * * * [progress]: [ 3 / 3 ] rewriting at (2)
1552126201.478 * * * [progress]: generating series expansions
1552126201.478 * * * * [progress]: [ 1 / 3 ] generating series at (2 1)
1552126201.479 * [backup-simplify]: Simplify (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)) into (pow (* 2 (* n PI)) (fma -1/2 k 1/2))
1552126201.479 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (fma -1/2 k 1/2)) in (n k) around 0
1552126201.479 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (fma -1/2 k 1/2)) in k
1552126201.479 * [taylor]: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log (* 2 (* n PI))))) in k
1552126201.479 * [taylor]: Taking taylor expansion of (* (fma -1/2 k 1/2) (log (* 2 (* n PI)))) in k
1552126201.479 * [taylor]: Taking taylor expansion of (fma -1/2 k 1/2) in k
1552126201.479 * [taylor]: Rewrote expression to (+ (* -1/2 k) 1/2)
1552126201.479 * [taylor]: Taking taylor expansion of (* -1/2 k) in k
1552126201.479 * [taylor]: Taking taylor expansion of -1/2 in k
1552126201.479 * [backup-simplify]: Simplify -1/2 into -1/2
1552126201.479 * [taylor]: Taking taylor expansion of k in k
1552126201.479 * [backup-simplify]: Simplify 0 into 0
1552126201.479 * [backup-simplify]: Simplify 1 into 1
1552126201.479 * [taylor]: Taking taylor expansion of 1/2 in k
1552126201.479 * [backup-simplify]: Simplify 1/2 into 1/2
1552126201.479 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1552126201.479 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1552126201.479 * [taylor]: Taking taylor expansion of 2 in k
1552126201.479 * [backup-simplify]: Simplify 2 into 2
1552126201.479 * [taylor]: Taking taylor expansion of (* n PI) in k
1552126201.479 * [taylor]: Taking taylor expansion of n in k
1552126201.480 * [backup-simplify]: Simplify n into n
1552126201.480 * [taylor]: Taking taylor expansion of PI in k
1552126201.480 * [backup-simplify]: Simplify PI into PI
1552126201.480 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1552126201.480 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1552126201.480 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1552126201.480 * [backup-simplify]: Simplify (* -1/2 0) into 0
1552126201.481 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
1552126201.481 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1552126201.481 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1552126201.481 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (fma -1/2 k 1/2)) in n
1552126201.481 * [taylor]: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log (* 2 (* n PI))))) in n
1552126201.481 * [taylor]: Taking taylor expansion of (* (fma -1/2 k 1/2) (log (* 2 (* n PI)))) in n
1552126201.481 * [taylor]: Taking taylor expansion of (fma -1/2 k 1/2) in n
1552126201.481 * [taylor]: Rewrote expression to (+ (* -1/2 k) 1/2)
1552126201.481 * [taylor]: Taking taylor expansion of (* -1/2 k) in n
1552126201.481 * [taylor]: Taking taylor expansion of -1/2 in n
1552126201.481 * [backup-simplify]: Simplify -1/2 into -1/2
1552126201.481 * [taylor]: Taking taylor expansion of k in n
1552126201.481 * [backup-simplify]: Simplify k into k
1552126201.481 * [taylor]: Taking taylor expansion of 1/2 in n
1552126201.481 * [backup-simplify]: Simplify 1/2 into 1/2
1552126201.481 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1552126201.481 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1552126201.481 * [taylor]: Taking taylor expansion of 2 in n
1552126201.481 * [backup-simplify]: Simplify 2 into 2
1552126201.481 * [taylor]: Taking taylor expansion of (* n PI) in n
1552126201.481 * [taylor]: Taking taylor expansion of n in n
1552126201.481 * [backup-simplify]: Simplify 0 into 0
1552126201.481 * [backup-simplify]: Simplify 1 into 1
1552126201.481 * [taylor]: Taking taylor expansion of PI in n
1552126201.481 * [backup-simplify]: Simplify PI into PI
1552126201.482 * [backup-simplify]: Simplify (* 0 PI) into 0
1552126201.482 * [backup-simplify]: Simplify (* 2 0) into 0
1552126201.483 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552126201.484 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1552126201.485 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552126201.485 * [backup-simplify]: Simplify (* -1/2 k) into (* -1/2 k)
1552126201.485 * [backup-simplify]: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k))
1552126201.486 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552126201.486 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
1552126201.487 * [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)))))
1552126201.487 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (fma -1/2 k 1/2)) in n
1552126201.487 * [taylor]: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log (* 2 (* n PI))))) in n
1552126201.487 * [taylor]: Taking taylor expansion of (* (fma -1/2 k 1/2) (log (* 2 (* n PI)))) in n
1552126201.487 * [taylor]: Taking taylor expansion of (fma -1/2 k 1/2) in n
1552126201.487 * [taylor]: Rewrote expression to (+ (* -1/2 k) 1/2)
1552126201.487 * [taylor]: Taking taylor expansion of (* -1/2 k) in n
1552126201.487 * [taylor]: Taking taylor expansion of -1/2 in n
1552126201.487 * [backup-simplify]: Simplify -1/2 into -1/2
1552126201.487 * [taylor]: Taking taylor expansion of k in n
1552126201.487 * [backup-simplify]: Simplify k into k
1552126201.487 * [taylor]: Taking taylor expansion of 1/2 in n
1552126201.487 * [backup-simplify]: Simplify 1/2 into 1/2
1552126201.487 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1552126201.487 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1552126201.487 * [taylor]: Taking taylor expansion of 2 in n
1552126201.487 * [backup-simplify]: Simplify 2 into 2
1552126201.487 * [taylor]: Taking taylor expansion of (* n PI) in n
1552126201.487 * [taylor]: Taking taylor expansion of n in n
1552126201.487 * [backup-simplify]: Simplify 0 into 0
1552126201.487 * [backup-simplify]: Simplify 1 into 1
1552126201.487 * [taylor]: Taking taylor expansion of PI in n
1552126201.487 * [backup-simplify]: Simplify PI into PI
1552126201.488 * [backup-simplify]: Simplify (* 0 PI) into 0
1552126201.488 * [backup-simplify]: Simplify (* 2 0) into 0
1552126201.489 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552126201.490 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1552126201.490 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552126201.490 * [backup-simplify]: Simplify (* -1/2 k) into (* -1/2 k)
1552126201.490 * [backup-simplify]: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k))
1552126201.491 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552126201.492 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
1552126201.493 * [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)))))
1552126201.493 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
1552126201.493 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
1552126201.493 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1552126201.493 * [taylor]: Taking taylor expansion of 1/2 in k
1552126201.493 * [backup-simplify]: Simplify 1/2 into 1/2
1552126201.493 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1552126201.493 * [taylor]: Taking taylor expansion of 1/2 in k
1552126201.493 * [backup-simplify]: Simplify 1/2 into 1/2
1552126201.493 * [taylor]: Taking taylor expansion of k in k
1552126201.493 * [backup-simplify]: Simplify 0 into 0
1552126201.493 * [backup-simplify]: Simplify 1 into 1
1552126201.493 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1552126201.493 * [taylor]: Taking taylor expansion of (log n) in k
1552126201.493 * [taylor]: Taking taylor expansion of n in k
1552126201.493 * [backup-simplify]: Simplify n into n
1552126201.493 * [backup-simplify]: Simplify (log n) into (log n)
1552126201.493 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1552126201.493 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1552126201.493 * [taylor]: Taking taylor expansion of 2 in k
1552126201.493 * [backup-simplify]: Simplify 2 into 2
1552126201.493 * [taylor]: Taking taylor expansion of PI in k
1552126201.493 * [backup-simplify]: Simplify PI into PI
1552126201.493 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552126201.494 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552126201.494 * [backup-simplify]: Simplify (* 1/2 0) into 0
1552126201.494 * [backup-simplify]: Simplify (- 0) into 0
1552126201.495 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1552126201.495 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552126201.496 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
1552126201.497 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1552126201.497 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1552126201.498 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1552126201.498 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1552126201.499 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1552126201.500 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 k)) into 0
1552126201.500 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126201.501 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552126201.502 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1552126201.503 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
1552126201.503 * [taylor]: Taking taylor expansion of 0 in k
1552126201.503 * [backup-simplify]: Simplify 0 into 0
1552126201.503 * [backup-simplify]: Simplify 0 into 0
1552126201.503 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1552126201.504 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1552126201.505 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1552126201.505 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126201.506 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1552126201.506 * [backup-simplify]: Simplify (- 1/2) into -1/2
1552126201.506 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1552126201.507 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
1552126201.509 * [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)))))))
1552126201.512 * [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)))))))
1552126201.513 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1552126201.514 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1552126201.517 * [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
1552126201.518 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 k))) into 0
1552126201.519 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126201.520 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552126201.522 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1552126201.525 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1552126201.525 * [taylor]: Taking taylor expansion of 0 in k
1552126201.525 * [backup-simplify]: Simplify 0 into 0
1552126201.525 * [backup-simplify]: Simplify 0 into 0
1552126201.525 * [backup-simplify]: Simplify 0 into 0
1552126201.527 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
1552126201.528 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1552126201.531 * [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
1552126201.531 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126201.533 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1552126201.533 * [backup-simplify]: Simplify (- 0) into 0
1552126201.534 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126201.543 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1552126201.547 * [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)))))
1552126201.552 * [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)))))
1552126201.561 * [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)))))
1552126201.562 * [backup-simplify]: Simplify (pow (/ (* -2 PI) (/ -1 (/ 1 n))) (fma -1/2 (/ 1 k) 1/2)) into (pow (* 2 (/ PI n)) (fma -1/2 (/ 1 k) 1/2))
1552126201.562 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (fma -1/2 (/ 1 k) 1/2)) in (n k) around 0
1552126201.562 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (fma -1/2 (/ 1 k) 1/2)) in k
1552126201.562 * [taylor]: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 (/ PI n))))) in k
1552126201.562 * [taylor]: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 (/ PI n)))) in k
1552126201.562 * [taylor]: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k
1552126201.562 * [taylor]: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2)
1552126201.562 * [taylor]: Taking taylor expansion of (* -1/2 (/ 1 k)) in k
1552126201.563 * [taylor]: Taking taylor expansion of -1/2 in k
1552126201.563 * [backup-simplify]: Simplify -1/2 into -1/2
1552126201.563 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552126201.563 * [taylor]: Taking taylor expansion of k in k
1552126201.563 * [backup-simplify]: Simplify 0 into 0
1552126201.563 * [backup-simplify]: Simplify 1 into 1
1552126201.563 * [backup-simplify]: Simplify (/ 1 1) into 1
1552126201.563 * [taylor]: Taking taylor expansion of 1/2 in k
1552126201.563 * [backup-simplify]: Simplify 1/2 into 1/2
1552126201.563 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
1552126201.563 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
1552126201.563 * [taylor]: Taking taylor expansion of 2 in k
1552126201.563 * [backup-simplify]: Simplify 2 into 2
1552126201.563 * [taylor]: Taking taylor expansion of (/ PI n) in k
1552126201.563 * [taylor]: Taking taylor expansion of PI in k
1552126201.563 * [backup-simplify]: Simplify PI into PI
1552126201.563 * [taylor]: Taking taylor expansion of n in k
1552126201.563 * [backup-simplify]: Simplify n into n
1552126201.563 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1552126201.563 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1552126201.564 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1552126201.564 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
1552126201.564 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2
1552126201.565 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1552126201.565 * [backup-simplify]: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 (/ PI n))))) into (pow (* 2 (/ PI n)) (fma -1/2 (/ 1 k) 1/2))
1552126201.565 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (fma -1/2 (/ 1 k) 1/2)) in n
1552126201.565 * [taylor]: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 (/ PI n))))) in n
1552126201.565 * [taylor]: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 (/ PI n)))) in n
1552126201.565 * [taylor]: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n
1552126201.565 * [taylor]: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2)
1552126201.565 * [taylor]: Taking taylor expansion of (* -1/2 (/ 1 k)) in n
1552126201.565 * [taylor]: Taking taylor expansion of -1/2 in n
1552126201.565 * [backup-simplify]: Simplify -1/2 into -1/2
1552126201.565 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552126201.565 * [taylor]: Taking taylor expansion of k in n
1552126201.565 * [backup-simplify]: Simplify k into k
1552126201.565 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552126201.565 * [taylor]: Taking taylor expansion of 1/2 in n
1552126201.565 * [backup-simplify]: Simplify 1/2 into 1/2
1552126201.565 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1552126201.565 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1552126201.565 * [taylor]: Taking taylor expansion of 2 in n
1552126201.565 * [backup-simplify]: Simplify 2 into 2
1552126201.565 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552126201.565 * [taylor]: Taking taylor expansion of PI in n
1552126201.565 * [backup-simplify]: Simplify PI into PI
1552126201.565 * [taylor]: Taking taylor expansion of n in n
1552126201.565 * [backup-simplify]: Simplify 0 into 0
1552126201.565 * [backup-simplify]: Simplify 1 into 1
1552126201.566 * [backup-simplify]: Simplify (/ PI 1) into PI
1552126201.566 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552126201.567 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552126201.568 * [backup-simplify]: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k)
1552126201.568 * [backup-simplify]: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k)))
1552126201.569 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552126201.570 * [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)))
1552126201.571 * [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))))
1552126201.571 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (fma -1/2 (/ 1 k) 1/2)) in n
1552126201.571 * [taylor]: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 (/ PI n))))) in n
1552126201.572 * [taylor]: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 (/ PI n)))) in n
1552126201.572 * [taylor]: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n
1552126201.572 * [taylor]: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2)
1552126201.572 * [taylor]: Taking taylor expansion of (* -1/2 (/ 1 k)) in n
1552126201.572 * [taylor]: Taking taylor expansion of -1/2 in n
1552126201.572 * [backup-simplify]: Simplify -1/2 into -1/2
1552126201.572 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552126201.572 * [taylor]: Taking taylor expansion of k in n
1552126201.572 * [backup-simplify]: Simplify k into k
1552126201.572 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552126201.572 * [taylor]: Taking taylor expansion of 1/2 in n
1552126201.572 * [backup-simplify]: Simplify 1/2 into 1/2
1552126201.572 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1552126201.572 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1552126201.572 * [taylor]: Taking taylor expansion of 2 in n
1552126201.572 * [backup-simplify]: Simplify 2 into 2
1552126201.572 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552126201.572 * [taylor]: Taking taylor expansion of PI in n
1552126201.572 * [backup-simplify]: Simplify PI into PI
1552126201.572 * [taylor]: Taking taylor expansion of n in n
1552126201.572 * [backup-simplify]: Simplify 0 into 0
1552126201.572 * [backup-simplify]: Simplify 1 into 1
1552126201.573 * [backup-simplify]: Simplify (/ PI 1) into PI
1552126201.573 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552126201.574 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552126201.574 * [backup-simplify]: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k)
1552126201.574 * [backup-simplify]: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k)))
1552126201.576 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552126201.577 * [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)))
1552126201.578 * [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))))
1552126201.578 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
1552126201.578 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
1552126201.578 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1552126201.578 * [taylor]: Taking taylor expansion of 1/2 in k
1552126201.578 * [backup-simplify]: Simplify 1/2 into 1/2
1552126201.578 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1552126201.578 * [taylor]: Taking taylor expansion of 1/2 in k
1552126201.578 * [backup-simplify]: Simplify 1/2 into 1/2
1552126201.578 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552126201.578 * [taylor]: Taking taylor expansion of k in k
1552126201.578 * [backup-simplify]: Simplify 0 into 0
1552126201.578 * [backup-simplify]: Simplify 1 into 1
1552126201.579 * [backup-simplify]: Simplify (/ 1 1) into 1
1552126201.579 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1552126201.579 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1552126201.579 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1552126201.579 * [taylor]: Taking taylor expansion of 2 in k
1552126201.579 * [backup-simplify]: Simplify 2 into 2
1552126201.579 * [taylor]: Taking taylor expansion of PI in k
1552126201.579 * [backup-simplify]: Simplify PI into PI
1552126201.579 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552126201.580 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552126201.580 * [taylor]: Taking taylor expansion of (log n) in k
1552126201.580 * [taylor]: Taking taylor expansion of n in k
1552126201.580 * [backup-simplify]: Simplify n into n
1552126201.581 * [backup-simplify]: Simplify (log n) into (log n)
1552126201.581 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1552126201.581 * [backup-simplify]: Simplify (- 1/2) into -1/2
1552126201.582 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1552126201.582 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1552126201.583 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1552126201.584 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1552126201.585 * [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))))
1552126201.586 * [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))))
1552126201.587 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1552126201.588 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1552126201.590 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1552126201.590 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1552126201.591 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (/ 1 k))) into 0
1552126201.591 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126201.592 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552126201.594 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1552126201.595 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1552126201.595 * [taylor]: Taking taylor expansion of 0 in k
1552126201.595 * [backup-simplify]: Simplify 0 into 0
1552126201.596 * [backup-simplify]: Simplify 0 into 0
1552126201.596 * [backup-simplify]: Simplify 0 into 0
1552126201.597 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552126201.598 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1552126201.602 * [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
1552126201.602 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1552126201.603 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1552126201.603 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126201.605 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552126201.607 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
1552126201.609 * [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
1552126201.609 * [taylor]: Taking taylor expansion of 0 in k
1552126201.609 * [backup-simplify]: Simplify 0 into 0
1552126201.609 * [backup-simplify]: Simplify 0 into 0
1552126201.609 * [backup-simplify]: Simplify 0 into 0
1552126201.609 * [backup-simplify]: Simplify 0 into 0
1552126201.610 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552126201.611 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1552126201.617 * [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
1552126201.618 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1552126201.619 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
1552126201.619 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126201.621 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552126201.623 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
1552126201.625 * [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
1552126201.625 * [taylor]: Taking taylor expansion of 0 in k
1552126201.625 * [backup-simplify]: Simplify 0 into 0
1552126201.626 * [backup-simplify]: Simplify 0 into 0
1552126201.627 * [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)))))
1552126201.627 * [backup-simplify]: Simplify (pow (/ (* -2 PI) (/ -1 (/ 1 (- n)))) (fma -1/2 (/ 1 (- k)) 1/2)) into (pow (* -2 (/ PI n)) (fma -1/2 (/ -1 k) 1/2))
1552126201.627 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (fma -1/2 (/ -1 k) 1/2)) in (n k) around 0
1552126201.627 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (fma -1/2 (/ -1 k) 1/2)) in k
1552126201.627 * [taylor]: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* -2 (/ PI n))))) in k
1552126201.627 * [taylor]: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* -2 (/ PI n)))) in k
1552126201.628 * [taylor]: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k
1552126201.628 * [taylor]: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2)
1552126201.628 * [taylor]: Taking taylor expansion of (* -1/2 (/ -1 k)) in k
1552126201.628 * [taylor]: Taking taylor expansion of -1/2 in k
1552126201.628 * [backup-simplify]: Simplify -1/2 into -1/2
1552126201.628 * [taylor]: Taking taylor expansion of (/ -1 k) in k
1552126201.628 * [taylor]: Taking taylor expansion of -1 in k
1552126201.628 * [backup-simplify]: Simplify -1 into -1
1552126201.628 * [taylor]: Taking taylor expansion of k in k
1552126201.628 * [backup-simplify]: Simplify 0 into 0
1552126201.628 * [backup-simplify]: Simplify 1 into 1
1552126201.628 * [backup-simplify]: Simplify (/ -1 1) into -1
1552126201.628 * [taylor]: Taking taylor expansion of 1/2 in k
1552126201.628 * [backup-simplify]: Simplify 1/2 into 1/2
1552126201.628 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
1552126201.628 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
1552126201.628 * [taylor]: Taking taylor expansion of -2 in k
1552126201.628 * [backup-simplify]: Simplify -2 into -2
1552126201.628 * [taylor]: Taking taylor expansion of (/ PI n) in k
1552126201.629 * [taylor]: Taking taylor expansion of PI in k
1552126201.629 * [backup-simplify]: Simplify PI into PI
1552126201.629 * [taylor]: Taking taylor expansion of n in k
1552126201.629 * [backup-simplify]: Simplify n into n
1552126201.629 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1552126201.629 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1552126201.629 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1552126201.629 * [backup-simplify]: Simplify (* -1/2 -1) into 1/2
1552126201.630 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1552126201.630 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1552126201.630 * [backup-simplify]: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* -2 (/ PI n))))) into (exp (* (log (* -2 (/ PI n))) (fma -1/2 (/ -1 k) 1/2)))
1552126201.630 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (fma -1/2 (/ -1 k) 1/2)) in n
1552126201.630 * [taylor]: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* -2 (/ PI n))))) in n
1552126201.630 * [taylor]: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* -2 (/ PI n)))) in n
1552126201.630 * [taylor]: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n
1552126201.630 * [taylor]: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2)
1552126201.630 * [taylor]: Taking taylor expansion of (* -1/2 (/ -1 k)) in n
1552126201.630 * [taylor]: Taking taylor expansion of -1/2 in n
1552126201.630 * [backup-simplify]: Simplify -1/2 into -1/2
1552126201.630 * [taylor]: Taking taylor expansion of (/ -1 k) in n
1552126201.630 * [taylor]: Taking taylor expansion of -1 in n
1552126201.630 * [backup-simplify]: Simplify -1 into -1
1552126201.630 * [taylor]: Taking taylor expansion of k in n
1552126201.630 * [backup-simplify]: Simplify k into k
1552126201.631 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
1552126201.631 * [taylor]: Taking taylor expansion of 1/2 in n
1552126201.631 * [backup-simplify]: Simplify 1/2 into 1/2
1552126201.631 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1552126201.631 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1552126201.631 * [taylor]: Taking taylor expansion of -2 in n
1552126201.631 * [backup-simplify]: Simplify -2 into -2
1552126201.631 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552126201.631 * [taylor]: Taking taylor expansion of PI in n
1552126201.631 * [backup-simplify]: Simplify PI into PI
1552126201.631 * [taylor]: Taking taylor expansion of n in n
1552126201.631 * [backup-simplify]: Simplify 0 into 0
1552126201.631 * [backup-simplify]: Simplify 1 into 1
1552126201.631 * [backup-simplify]: Simplify (/ PI 1) into PI
1552126201.632 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552126201.633 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1552126201.633 * [backup-simplify]: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k)
1552126201.633 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1552126201.634 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552126201.635 * [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)))
1552126201.637 * [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))))
1552126201.637 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (fma -1/2 (/ -1 k) 1/2)) in n
1552126201.637 * [taylor]: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* -2 (/ PI n))))) in n
1552126201.637 * [taylor]: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* -2 (/ PI n)))) in n
1552126201.637 * [taylor]: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n
1552126201.637 * [taylor]: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2)
1552126201.637 * [taylor]: Taking taylor expansion of (* -1/2 (/ -1 k)) in n
1552126201.637 * [taylor]: Taking taylor expansion of -1/2 in n
1552126201.637 * [backup-simplify]: Simplify -1/2 into -1/2
1552126201.637 * [taylor]: Taking taylor expansion of (/ -1 k) in n
1552126201.637 * [taylor]: Taking taylor expansion of -1 in n
1552126201.637 * [backup-simplify]: Simplify -1 into -1
1552126201.637 * [taylor]: Taking taylor expansion of k in n
1552126201.637 * [backup-simplify]: Simplify k into k
1552126201.637 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
1552126201.637 * [taylor]: Taking taylor expansion of 1/2 in n
1552126201.637 * [backup-simplify]: Simplify 1/2 into 1/2
1552126201.637 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1552126201.637 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1552126201.637 * [taylor]: Taking taylor expansion of -2 in n
1552126201.637 * [backup-simplify]: Simplify -2 into -2
1552126201.637 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552126201.637 * [taylor]: Taking taylor expansion of PI in n
1552126201.637 * [backup-simplify]: Simplify PI into PI
1552126201.637 * [taylor]: Taking taylor expansion of n in n
1552126201.637 * [backup-simplify]: Simplify 0 into 0
1552126201.637 * [backup-simplify]: Simplify 1 into 1
1552126201.638 * [backup-simplify]: Simplify (/ PI 1) into PI
1552126201.638 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552126201.639 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1552126201.639 * [backup-simplify]: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k)
1552126201.640 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1552126201.641 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552126201.642 * [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)))
1552126201.643 * [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))))
1552126201.643 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
1552126201.643 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
1552126201.643 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1552126201.643 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1552126201.643 * [taylor]: Taking taylor expansion of 1/2 in k
1552126201.643 * [backup-simplify]: Simplify 1/2 into 1/2
1552126201.643 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552126201.644 * [taylor]: Taking taylor expansion of k in k
1552126201.644 * [backup-simplify]: Simplify 0 into 0
1552126201.644 * [backup-simplify]: Simplify 1 into 1
1552126201.644 * [backup-simplify]: Simplify (/ 1 1) into 1
1552126201.644 * [taylor]: Taking taylor expansion of 1/2 in k
1552126201.644 * [backup-simplify]: Simplify 1/2 into 1/2
1552126201.644 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
1552126201.644 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
1552126201.644 * [taylor]: Taking taylor expansion of (* -2 PI) in k
1552126201.644 * [taylor]: Taking taylor expansion of -2 in k
1552126201.644 * [backup-simplify]: Simplify -2 into -2
1552126201.644 * [taylor]: Taking taylor expansion of PI in k
1552126201.644 * [backup-simplify]: Simplify PI into PI
1552126201.645 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552126201.646 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1552126201.646 * [taylor]: Taking taylor expansion of (log n) in k
1552126201.646 * [taylor]: Taking taylor expansion of n in k
1552126201.646 * [backup-simplify]: Simplify n into n
1552126201.646 * [backup-simplify]: Simplify (log n) into (log n)
1552126201.646 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1552126201.647 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1552126201.647 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1552126201.648 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
1552126201.649 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
1552126201.650 * [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))))
1552126201.651 * [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))))
1552126201.652 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1552126201.653 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1552126201.655 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1552126201.655 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1552126201.655 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (/ -1 k))) into 0
1552126201.656 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126201.657 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552126201.659 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1552126201.661 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1552126201.661 * [taylor]: Taking taylor expansion of 0 in k
1552126201.661 * [backup-simplify]: Simplify 0 into 0
1552126201.661 * [backup-simplify]: Simplify 0 into 0
1552126201.661 * [backup-simplify]: Simplify 0 into 0
1552126201.662 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552126201.663 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1552126201.666 * [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
1552126201.667 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1552126201.668 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ -1 k)))) into 0
1552126201.668 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126201.670 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552126201.671 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
1552126201.674 * [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
1552126201.674 * [taylor]: Taking taylor expansion of 0 in k
1552126201.674 * [backup-simplify]: Simplify 0 into 0
1552126201.674 * [backup-simplify]: Simplify 0 into 0
1552126201.674 * [backup-simplify]: Simplify 0 into 0
1552126201.674 * [backup-simplify]: Simplify 0 into 0
1552126201.675 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552126201.676 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1552126201.683 * [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
1552126201.683 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1552126201.684 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 k))))) into 0
1552126201.685 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126201.686 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552126201.695 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
1552126201.697 * [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
1552126201.698 * [taylor]: Taking taylor expansion of 0 in k
1552126201.698 * [backup-simplify]: Simplify 0 into 0
1552126201.698 * [backup-simplify]: Simplify 0 into 0
1552126201.699 * [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)))))
1552126201.699 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1)
1552126201.699 * [backup-simplify]: Simplify (/ (* -2 PI) (/ -1 n)) into (* 2 (* n PI))
1552126201.699 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
1552126201.699 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1552126201.699 * [taylor]: Taking taylor expansion of 2 in n
1552126201.699 * [backup-simplify]: Simplify 2 into 2
1552126201.699 * [taylor]: Taking taylor expansion of (* n PI) in n
1552126201.699 * [taylor]: Taking taylor expansion of n in n
1552126201.699 * [backup-simplify]: Simplify 0 into 0
1552126201.699 * [backup-simplify]: Simplify 1 into 1
1552126201.699 * [taylor]: Taking taylor expansion of PI in n
1552126201.699 * [backup-simplify]: Simplify PI into PI
1552126201.699 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1552126201.699 * [taylor]: Taking taylor expansion of 2 in n
1552126201.699 * [backup-simplify]: Simplify 2 into 2
1552126201.699 * [taylor]: Taking taylor expansion of (* n PI) in n
1552126201.699 * [taylor]: Taking taylor expansion of n in n
1552126201.699 * [backup-simplify]: Simplify 0 into 0
1552126201.699 * [backup-simplify]: Simplify 1 into 1
1552126201.699 * [taylor]: Taking taylor expansion of PI in n
1552126201.699 * [backup-simplify]: Simplify PI into PI
1552126201.700 * [backup-simplify]: Simplify (* 0 PI) into 0
1552126201.700 * [backup-simplify]: Simplify (* 2 0) into 0
1552126201.700 * [backup-simplify]: Simplify 0 into 0
1552126201.701 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552126201.702 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1552126201.702 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552126201.703 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1552126201.703 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1552126201.703 * [backup-simplify]: Simplify 0 into 0
1552126201.704 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1552126201.705 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1552126201.705 * [backup-simplify]: Simplify 0 into 0
1552126201.706 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1552126201.706 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1552126201.706 * [backup-simplify]: Simplify 0 into 0
1552126201.707 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1552126201.708 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
1552126201.708 * [backup-simplify]: Simplify 0 into 0
1552126201.709 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1552126201.710 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
1552126201.710 * [backup-simplify]: Simplify 0 into 0
1552126201.711 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
1552126201.712 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
1552126201.712 * [backup-simplify]: Simplify 0 into 0
1552126201.713 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
1552126201.713 * [backup-simplify]: Simplify (/ (* -2 PI) (/ -1 (/ 1 n))) into (* 2 (/ PI n))
1552126201.713 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
1552126201.713 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1552126201.713 * [taylor]: Taking taylor expansion of 2 in n
1552126201.713 * [backup-simplify]: Simplify 2 into 2
1552126201.713 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552126201.713 * [taylor]: Taking taylor expansion of PI in n
1552126201.713 * [backup-simplify]: Simplify PI into PI
1552126201.713 * [taylor]: Taking taylor expansion of n in n
1552126201.713 * [backup-simplify]: Simplify 0 into 0
1552126201.713 * [backup-simplify]: Simplify 1 into 1
1552126201.713 * [backup-simplify]: Simplify (/ PI 1) into PI
1552126201.714 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1552126201.714 * [taylor]: Taking taylor expansion of 2 in n
1552126201.714 * [backup-simplify]: Simplify 2 into 2
1552126201.714 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552126201.714 * [taylor]: Taking taylor expansion of PI in n
1552126201.714 * [backup-simplify]: Simplify PI into PI
1552126201.714 * [taylor]: Taking taylor expansion of n in n
1552126201.714 * [backup-simplify]: Simplify 0 into 0
1552126201.714 * [backup-simplify]: Simplify 1 into 1
1552126201.714 * [backup-simplify]: Simplify (/ PI 1) into PI
1552126201.714 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552126201.715 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552126201.715 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1552126201.716 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1552126201.716 * [backup-simplify]: Simplify 0 into 0
1552126201.716 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552126201.717 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1552126201.717 * [backup-simplify]: Simplify 0 into 0
1552126201.717 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552126201.718 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1552126201.718 * [backup-simplify]: Simplify 0 into 0
1552126201.719 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552126201.719 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1552126201.720 * [backup-simplify]: Simplify 0 into 0
1552126201.720 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552126201.721 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1552126201.721 * [backup-simplify]: Simplify 0 into 0
1552126201.722 * [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
1552126201.723 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1552126201.723 * [backup-simplify]: Simplify 0 into 0
1552126201.723 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
1552126201.723 * [backup-simplify]: Simplify (/ (* -2 PI) (/ -1 (/ 1 (- n)))) into (* -2 (/ PI n))
1552126201.723 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
1552126201.723 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1552126201.723 * [taylor]: Taking taylor expansion of -2 in n
1552126201.723 * [backup-simplify]: Simplify -2 into -2
1552126201.723 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552126201.723 * [taylor]: Taking taylor expansion of PI in n
1552126201.723 * [backup-simplify]: Simplify PI into PI
1552126201.723 * [taylor]: Taking taylor expansion of n in n
1552126201.723 * [backup-simplify]: Simplify 0 into 0
1552126201.723 * [backup-simplify]: Simplify 1 into 1
1552126201.724 * [backup-simplify]: Simplify (/ PI 1) into PI
1552126201.724 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1552126201.724 * [taylor]: Taking taylor expansion of -2 in n
1552126201.724 * [backup-simplify]: Simplify -2 into -2
1552126201.724 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552126201.724 * [taylor]: Taking taylor expansion of PI in n
1552126201.724 * [backup-simplify]: Simplify PI into PI
1552126201.724 * [taylor]: Taking taylor expansion of n in n
1552126201.724 * [backup-simplify]: Simplify 0 into 0
1552126201.724 * [backup-simplify]: Simplify 1 into 1
1552126201.724 * [backup-simplify]: Simplify (/ PI 1) into PI
1552126201.724 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552126201.725 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552126201.725 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1552126201.726 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1552126201.726 * [backup-simplify]: Simplify 0 into 0
1552126201.727 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552126201.728 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1552126201.728 * [backup-simplify]: Simplify 0 into 0
1552126201.729 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552126201.731 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1552126201.731 * [backup-simplify]: Simplify 0 into 0
1552126201.732 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552126201.733 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1552126201.733 * [backup-simplify]: Simplify 0 into 0
1552126201.734 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552126201.736 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1552126201.736 * [backup-simplify]: Simplify 0 into 0
1552126201.737 * [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
1552126201.738 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1552126201.738 * [backup-simplify]: Simplify 0 into 0
1552126201.739 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
1552126201.739 * * * * [progress]: [ 3 / 3 ] generating series at (2)
1552126201.740 * [backup-simplify]: Simplify (/ (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)) (sqrt k)) into (* (pow (* 2 (* n PI)) (fma -1/2 k 1/2)) (sqrt (/ 1 k)))
1552126201.740 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (fma -1/2 k 1/2)) (sqrt (/ 1 k))) in (n k) around 0
1552126201.740 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (fma -1/2 k 1/2)) (sqrt (/ 1 k))) in k
1552126201.740 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (fma -1/2 k 1/2)) in k
1552126201.740 * [taylor]: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log (* 2 (* n PI))))) in k
1552126201.740 * [taylor]: Taking taylor expansion of (* (fma -1/2 k 1/2) (log (* 2 (* n PI)))) in k
1552126201.740 * [taylor]: Taking taylor expansion of (fma -1/2 k 1/2) in k
1552126201.740 * [taylor]: Rewrote expression to (+ (* -1/2 k) 1/2)
1552126201.740 * [taylor]: Taking taylor expansion of (* -1/2 k) in k
1552126201.740 * [taylor]: Taking taylor expansion of -1/2 in k
1552126201.740 * [backup-simplify]: Simplify -1/2 into -1/2
1552126201.740 * [taylor]: Taking taylor expansion of k in k
1552126201.740 * [backup-simplify]: Simplify 0 into 0
1552126201.740 * [backup-simplify]: Simplify 1 into 1
1552126201.740 * [taylor]: Taking taylor expansion of 1/2 in k
1552126201.740 * [backup-simplify]: Simplify 1/2 into 1/2
1552126201.740 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1552126201.740 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1552126201.740 * [taylor]: Taking taylor expansion of 2 in k
1552126201.740 * [backup-simplify]: Simplify 2 into 2
1552126201.740 * [taylor]: Taking taylor expansion of (* n PI) in k
1552126201.740 * [taylor]: Taking taylor expansion of n in k
1552126201.740 * [backup-simplify]: Simplify n into n
1552126201.740 * [taylor]: Taking taylor expansion of PI in k
1552126201.740 * [backup-simplify]: Simplify PI into PI
1552126201.740 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1552126201.741 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1552126201.741 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1552126201.741 * [backup-simplify]: Simplify (* -1/2 0) into 0
1552126201.741 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
1552126201.742 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1552126201.742 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1552126201.742 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
1552126201.742 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552126201.742 * [taylor]: Taking taylor expansion of k in k
1552126201.742 * [backup-simplify]: Simplify 0 into 0
1552126201.742 * [backup-simplify]: Simplify 1 into 1
1552126201.742 * [backup-simplify]: Simplify (/ 1 1) into 1
1552126201.743 * [backup-simplify]: Simplify (sqrt 0) into 0
1552126201.744 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1552126201.744 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (fma -1/2 k 1/2)) (sqrt (/ 1 k))) in n
1552126201.744 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (fma -1/2 k 1/2)) in n
1552126201.744 * [taylor]: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log (* 2 (* n PI))))) in n
1552126201.744 * [taylor]: Taking taylor expansion of (* (fma -1/2 k 1/2) (log (* 2 (* n PI)))) in n
1552126201.745 * [taylor]: Taking taylor expansion of (fma -1/2 k 1/2) in n
1552126201.745 * [taylor]: Rewrote expression to (+ (* -1/2 k) 1/2)
1552126201.745 * [taylor]: Taking taylor expansion of (* -1/2 k) in n
1552126201.745 * [taylor]: Taking taylor expansion of -1/2 in n
1552126201.745 * [backup-simplify]: Simplify -1/2 into -1/2
1552126201.745 * [taylor]: Taking taylor expansion of k in n
1552126201.745 * [backup-simplify]: Simplify k into k
1552126201.745 * [taylor]: Taking taylor expansion of 1/2 in n
1552126201.745 * [backup-simplify]: Simplify 1/2 into 1/2
1552126201.745 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1552126201.745 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1552126201.745 * [taylor]: Taking taylor expansion of 2 in n
1552126201.745 * [backup-simplify]: Simplify 2 into 2
1552126201.745 * [taylor]: Taking taylor expansion of (* n PI) in n
1552126201.745 * [taylor]: Taking taylor expansion of n in n
1552126201.745 * [backup-simplify]: Simplify 0 into 0
1552126201.745 * [backup-simplify]: Simplify 1 into 1
1552126201.745 * [taylor]: Taking taylor expansion of PI in n
1552126201.745 * [backup-simplify]: Simplify PI into PI
1552126201.745 * [backup-simplify]: Simplify (* 0 PI) into 0
1552126201.746 * [backup-simplify]: Simplify (* 2 0) into 0
1552126201.747 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552126201.749 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1552126201.750 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552126201.750 * [backup-simplify]: Simplify (* -1/2 k) into (* -1/2 k)
1552126201.750 * [backup-simplify]: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k))
1552126201.751 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552126201.752 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
1552126201.752 * [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)))))
1552126201.752 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
1552126201.752 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552126201.752 * [taylor]: Taking taylor expansion of k in n
1552126201.752 * [backup-simplify]: Simplify k into k
1552126201.752 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552126201.752 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
1552126201.752 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1552126201.752 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
1552126201.753 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (fma -1/2 k 1/2)) (sqrt (/ 1 k))) in n
1552126201.753 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (fma -1/2 k 1/2)) in n
1552126201.753 * [taylor]: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log (* 2 (* n PI))))) in n
1552126201.753 * [taylor]: Taking taylor expansion of (* (fma -1/2 k 1/2) (log (* 2 (* n PI)))) in n
1552126201.753 * [taylor]: Taking taylor expansion of (fma -1/2 k 1/2) in n
1552126201.753 * [taylor]: Rewrote expression to (+ (* -1/2 k) 1/2)
1552126201.753 * [taylor]: Taking taylor expansion of (* -1/2 k) in n
1552126201.753 * [taylor]: Taking taylor expansion of -1/2 in n
1552126201.753 * [backup-simplify]: Simplify -1/2 into -1/2
1552126201.753 * [taylor]: Taking taylor expansion of k in n
1552126201.753 * [backup-simplify]: Simplify k into k
1552126201.753 * [taylor]: Taking taylor expansion of 1/2 in n
1552126201.753 * [backup-simplify]: Simplify 1/2 into 1/2
1552126201.753 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1552126201.753 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1552126201.753 * [taylor]: Taking taylor expansion of 2 in n
1552126201.753 * [backup-simplify]: Simplify 2 into 2
1552126201.753 * [taylor]: Taking taylor expansion of (* n PI) in n
1552126201.753 * [taylor]: Taking taylor expansion of n in n
1552126201.753 * [backup-simplify]: Simplify 0 into 0
1552126201.753 * [backup-simplify]: Simplify 1 into 1
1552126201.753 * [taylor]: Taking taylor expansion of PI in n
1552126201.753 * [backup-simplify]: Simplify PI into PI
1552126201.753 * [backup-simplify]: Simplify (* 0 PI) into 0
1552126201.753 * [backup-simplify]: Simplify (* 2 0) into 0
1552126201.754 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552126201.755 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1552126201.756 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552126201.756 * [backup-simplify]: Simplify (* -1/2 k) into (* -1/2 k)
1552126201.756 * [backup-simplify]: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k))
1552126201.757 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552126201.757 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
1552126201.758 * [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)))))
1552126201.758 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
1552126201.758 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552126201.758 * [taylor]: Taking taylor expansion of k in n
1552126201.758 * [backup-simplify]: Simplify k into k
1552126201.758 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552126201.758 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
1552126201.758 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1552126201.758 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
1552126201.759 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) into (* (sqrt (/ 1 k)) (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))
1552126201.759 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) in k
1552126201.759 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
1552126201.759 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552126201.759 * [taylor]: Taking taylor expansion of k in k
1552126201.759 * [backup-simplify]: Simplify 0 into 0
1552126201.759 * [backup-simplify]: Simplify 1 into 1
1552126201.760 * [backup-simplify]: Simplify (/ 1 1) into 1
1552126201.760 * [backup-simplify]: Simplify (sqrt 0) into 0
1552126201.761 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1552126201.761 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
1552126201.761 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
1552126201.761 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1552126201.761 * [taylor]: Taking taylor expansion of 1/2 in k
1552126201.761 * [backup-simplify]: Simplify 1/2 into 1/2
1552126201.761 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1552126201.761 * [taylor]: Taking taylor expansion of 1/2 in k
1552126201.761 * [backup-simplify]: Simplify 1/2 into 1/2
1552126201.761 * [taylor]: Taking taylor expansion of k in k
1552126201.761 * [backup-simplify]: Simplify 0 into 0
1552126201.761 * [backup-simplify]: Simplify 1 into 1
1552126201.761 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1552126201.761 * [taylor]: Taking taylor expansion of (log n) in k
1552126201.761 * [taylor]: Taking taylor expansion of n in k
1552126201.761 * [backup-simplify]: Simplify n into n
1552126201.761 * [backup-simplify]: Simplify (log n) into (log n)
1552126201.761 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1552126201.761 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1552126201.761 * [taylor]: Taking taylor expansion of 2 in k
1552126201.761 * [backup-simplify]: Simplify 2 into 2
1552126201.761 * [taylor]: Taking taylor expansion of PI in k
1552126201.761 * [backup-simplify]: Simplify PI into PI
1552126201.761 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552126201.762 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552126201.762 * [backup-simplify]: Simplify (* 1/2 0) into 0
1552126201.762 * [backup-simplify]: Simplify (- 0) into 0
1552126201.763 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1552126201.763 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552126201.764 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
1552126201.765 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1552126201.765 * [backup-simplify]: Simplify (* 0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) into 0
1552126201.765 * [backup-simplify]: Simplify 0 into 0
1552126201.766 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1552126201.766 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1552126201.767 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1552126201.768 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 k)) into 0
1552126201.768 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126201.769 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552126201.770 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1552126201.771 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
1552126201.772 * [backup-simplify]: Simplify (+ (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) 0) (* 0 (sqrt (/ 1 k)))) into 0
1552126201.772 * [taylor]: Taking taylor expansion of 0 in k
1552126201.772 * [backup-simplify]: Simplify 0 into 0
1552126201.772 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1552126201.773 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1552126201.774 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1552126201.774 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126201.774 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1552126201.775 * [backup-simplify]: Simplify (- 1/2) into -1/2
1552126201.775 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1552126201.776 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
1552126201.778 * [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)))))))
1552126201.782 * [backup-simplify]: Simplify (+ (* 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))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
1552126201.783 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
1552126201.783 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1552126201.784 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
1552126201.785 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1552126201.786 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1552126201.790 * [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
1552126201.791 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 k))) into 0
1552126201.791 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126201.793 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552126201.794 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1552126201.796 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1552126201.798 * [backup-simplify]: Simplify (+ (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0
1552126201.798 * [taylor]: Taking taylor expansion of 0 in k
1552126201.798 * [backup-simplify]: Simplify 0 into 0
1552126201.798 * [backup-simplify]: Simplify 0 into 0
1552126201.800 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
1552126201.801 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1552126201.810 * [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
1552126201.811 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126201.812 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1552126201.812 * [backup-simplify]: Simplify (- 0) into 0
1552126201.813 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126201.815 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1552126201.819 * [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)))))
1552126201.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1552126201.823 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1552126201.831 * [backup-simplify]: Simplify (+ (* 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 (* (+ (* 1/2 (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)))))))) into (- (+ (* +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))) (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))))))
1552126201.834 * [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))))) (log n))) (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))))))) 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))))))))
1552126201.834 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1552126201.834 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0
1552126201.835 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1552126201.836 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1552126201.839 * [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
1552126201.840 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0
1552126201.840 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126201.841 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552126201.842 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
1552126201.844 * [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
1552126201.845 * [backup-simplify]: Simplify (+ (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0
1552126201.845 * [taylor]: Taking taylor expansion of 0 in k
1552126201.845 * [backup-simplify]: Simplify 0 into 0
1552126201.845 * [backup-simplify]: Simplify 0 into 0
1552126201.845 * [backup-simplify]: Simplify 0 into 0
1552126201.847 * [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
1552126201.847 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1552126201.850 * [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
1552126201.851 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126201.851 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
1552126201.852 * [backup-simplify]: Simplify (- 0) into 0
1552126201.852 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126201.853 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
1552126201.857 * [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)))))))
1552126201.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552126201.862 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1552126201.878 * [backup-simplify]: Simplify (+ (* 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)))))))) (+ (* +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 (* (+ (* 1/2 (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))))))))) into (- (+ (* +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))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))))))))))))))
1552126201.890 * [backup-simplify]: Simplify (- (+ (* +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))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2)))))))))))))) into (- (+ (* +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))))) (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)))))) (- (+ (* +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))))) (log n))))))))))))))
1552126201.909 * [backup-simplify]: Simplify (+ (* (- (+ (* +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))))) (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)))))) (- (+ (* +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))))) (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))))))))))))))))))))))
1552126201.910 * [backup-simplify]: Simplify (/ (pow (/ (* -2 PI) (/ -1 (/ 1 n))) (fma -1/2 (/ 1 k) 1/2)) (sqrt (/ 1 k))) into (* (sqrt k) (pow (* 2 (/ PI n)) (fma -1/2 (/ 1 k) 1/2)))
1552126201.910 * [approximate]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (fma -1/2 (/ 1 k) 1/2))) in (n k) around 0
1552126201.910 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (fma -1/2 (/ 1 k) 1/2))) in k
1552126201.910 * [taylor]: Taking taylor expansion of (sqrt k) in k
1552126201.910 * [taylor]: Taking taylor expansion of k in k
1552126201.910 * [backup-simplify]: Simplify 0 into 0
1552126201.910 * [backup-simplify]: Simplify 1 into 1
1552126201.910 * [backup-simplify]: Simplify (sqrt 0) into 0
1552126201.912 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1552126201.912 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (fma -1/2 (/ 1 k) 1/2)) in k
1552126201.912 * [taylor]: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 (/ PI n))))) in k
1552126201.912 * [taylor]: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 (/ PI n)))) in k
1552126201.912 * [taylor]: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k
1552126201.912 * [taylor]: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2)
1552126201.912 * [taylor]: Taking taylor expansion of (* -1/2 (/ 1 k)) in k
1552126201.912 * [taylor]: Taking taylor expansion of -1/2 in k
1552126201.912 * [backup-simplify]: Simplify -1/2 into -1/2
1552126201.912 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552126201.912 * [taylor]: Taking taylor expansion of k in k
1552126201.912 * [backup-simplify]: Simplify 0 into 0
1552126201.912 * [backup-simplify]: Simplify 1 into 1
1552126201.912 * [backup-simplify]: Simplify (/ 1 1) into 1
1552126201.912 * [taylor]: Taking taylor expansion of 1/2 in k
1552126201.912 * [backup-simplify]: Simplify 1/2 into 1/2
1552126201.912 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
1552126201.913 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
1552126201.913 * [taylor]: Taking taylor expansion of 2 in k
1552126201.913 * [backup-simplify]: Simplify 2 into 2
1552126201.913 * [taylor]: Taking taylor expansion of (/ PI n) in k
1552126201.913 * [taylor]: Taking taylor expansion of PI in k
1552126201.913 * [backup-simplify]: Simplify PI into PI
1552126201.913 * [taylor]: Taking taylor expansion of n in k
1552126201.913 * [backup-simplify]: Simplify n into n
1552126201.913 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1552126201.913 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1552126201.913 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1552126201.913 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
1552126201.914 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2
1552126201.914 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1552126201.914 * [backup-simplify]: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 (/ PI n))))) into (pow (* 2 (/ PI n)) (fma -1/2 (/ 1 k) 1/2))
1552126201.914 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (fma -1/2 (/ 1 k) 1/2))) in n
1552126201.914 * [taylor]: Taking taylor expansion of (sqrt k) in n
1552126201.914 * [taylor]: Taking taylor expansion of k in n
1552126201.914 * [backup-simplify]: Simplify k into k
1552126201.914 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
1552126201.914 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
1552126201.914 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (fma -1/2 (/ 1 k) 1/2)) in n
1552126201.914 * [taylor]: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 (/ PI n))))) in n
1552126201.914 * [taylor]: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 (/ PI n)))) in n
1552126201.914 * [taylor]: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n
1552126201.915 * [taylor]: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2)
1552126201.915 * [taylor]: Taking taylor expansion of (* -1/2 (/ 1 k)) in n
1552126201.915 * [taylor]: Taking taylor expansion of -1/2 in n
1552126201.915 * [backup-simplify]: Simplify -1/2 into -1/2
1552126201.915 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552126201.915 * [taylor]: Taking taylor expansion of k in n
1552126201.915 * [backup-simplify]: Simplify k into k
1552126201.915 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552126201.915 * [taylor]: Taking taylor expansion of 1/2 in n
1552126201.915 * [backup-simplify]: Simplify 1/2 into 1/2
1552126201.915 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1552126201.915 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1552126201.915 * [taylor]: Taking taylor expansion of 2 in n
1552126201.915 * [backup-simplify]: Simplify 2 into 2
1552126201.915 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552126201.915 * [taylor]: Taking taylor expansion of PI in n
1552126201.915 * [backup-simplify]: Simplify PI into PI
1552126201.915 * [taylor]: Taking taylor expansion of n in n
1552126201.915 * [backup-simplify]: Simplify 0 into 0
1552126201.915 * [backup-simplify]: Simplify 1 into 1
1552126201.916 * [backup-simplify]: Simplify (/ PI 1) into PI
1552126201.916 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552126201.917 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552126201.917 * [backup-simplify]: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k)
1552126201.917 * [backup-simplify]: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k)))
1552126201.919 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552126201.920 * [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)))
1552126201.921 * [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))))
1552126201.921 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (fma -1/2 (/ 1 k) 1/2))) in n
1552126201.921 * [taylor]: Taking taylor expansion of (sqrt k) in n
1552126201.921 * [taylor]: Taking taylor expansion of k in n
1552126201.921 * [backup-simplify]: Simplify k into k
1552126201.921 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
1552126201.921 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
1552126201.921 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (fma -1/2 (/ 1 k) 1/2)) in n
1552126201.921 * [taylor]: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 (/ PI n))))) in n
1552126201.921 * [taylor]: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 (/ PI n)))) in n
1552126201.921 * [taylor]: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n
1552126201.921 * [taylor]: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2)
1552126201.921 * [taylor]: Taking taylor expansion of (* -1/2 (/ 1 k)) in n
1552126201.921 * [taylor]: Taking taylor expansion of -1/2 in n
1552126201.921 * [backup-simplify]: Simplify -1/2 into -1/2
1552126201.921 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552126201.921 * [taylor]: Taking taylor expansion of k in n
1552126201.921 * [backup-simplify]: Simplify k into k
1552126201.921 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552126201.922 * [taylor]: Taking taylor expansion of 1/2 in n
1552126201.922 * [backup-simplify]: Simplify 1/2 into 1/2
1552126201.922 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1552126201.922 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1552126201.922 * [taylor]: Taking taylor expansion of 2 in n
1552126201.922 * [backup-simplify]: Simplify 2 into 2
1552126201.922 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552126201.922 * [taylor]: Taking taylor expansion of PI in n
1552126201.922 * [backup-simplify]: Simplify PI into PI
1552126201.922 * [taylor]: Taking taylor expansion of n in n
1552126201.922 * [backup-simplify]: Simplify 0 into 0
1552126201.922 * [backup-simplify]: Simplify 1 into 1
1552126201.922 * [backup-simplify]: Simplify (/ PI 1) into PI
1552126201.923 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552126201.924 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552126201.924 * [backup-simplify]: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k)
1552126201.924 * [backup-simplify]: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k)))
1552126201.925 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552126201.933 * [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)))
1552126201.934 * [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))))
1552126201.935 * [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))
1552126201.935 * [taylor]: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k
1552126201.935 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
1552126201.936 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
1552126201.936 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1552126201.936 * [taylor]: Taking taylor expansion of 1/2 in k
1552126201.936 * [backup-simplify]: Simplify 1/2 into 1/2
1552126201.936 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1552126201.936 * [taylor]: Taking taylor expansion of 1/2 in k
1552126201.936 * [backup-simplify]: Simplify 1/2 into 1/2
1552126201.936 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552126201.936 * [taylor]: Taking taylor expansion of k in k
1552126201.936 * [backup-simplify]: Simplify 0 into 0
1552126201.936 * [backup-simplify]: Simplify 1 into 1
1552126201.936 * [backup-simplify]: Simplify (/ 1 1) into 1
1552126201.936 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1552126201.936 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1552126201.936 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1552126201.936 * [taylor]: Taking taylor expansion of 2 in k
1552126201.936 * [backup-simplify]: Simplify 2 into 2
1552126201.936 * [taylor]: Taking taylor expansion of PI in k
1552126201.936 * [backup-simplify]: Simplify PI into PI
1552126201.937 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552126201.938 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552126201.938 * [taylor]: Taking taylor expansion of (log n) in k
1552126201.938 * [taylor]: Taking taylor expansion of n in k
1552126201.938 * [backup-simplify]: Simplify n into n
1552126201.938 * [backup-simplify]: Simplify (log n) into (log n)
1552126201.939 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1552126201.939 * [backup-simplify]: Simplify (- 1/2) into -1/2
1552126201.939 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1552126201.939 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1552126201.940 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1552126201.942 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1552126201.943 * [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))))
1552126201.943 * [taylor]: Taking taylor expansion of (sqrt k) in k
1552126201.943 * [taylor]: Taking taylor expansion of k in k
1552126201.943 * [backup-simplify]: Simplify 0 into 0
1552126201.943 * [backup-simplify]: Simplify 1 into 1
1552126201.943 * [backup-simplify]: Simplify (sqrt 0) into 0
1552126201.945 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1552126201.946 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0
1552126201.946 * [backup-simplify]: Simplify 0 into 0
1552126201.947 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1552126201.948 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1552126201.950 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1552126201.950 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1552126201.950 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (/ 1 k))) into 0
1552126201.951 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126201.952 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552126201.953 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1552126201.955 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1552126201.957 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0
1552126201.957 * [taylor]: Taking taylor expansion of 0 in k
1552126201.957 * [backup-simplify]: Simplify 0 into 0
1552126201.957 * [backup-simplify]: Simplify 0 into 0
1552126201.958 * [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))))))
1552126201.959 * [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))))))
1552126201.961 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552126201.962 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1552126201.965 * [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
1552126201.965 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1552126201.966 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1552126201.967 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126201.968 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552126201.969 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
1552126201.972 * [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
1552126201.973 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
1552126201.974 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0
1552126201.974 * [taylor]: Taking taylor expansion of 0 in k
1552126201.974 * [backup-simplify]: Simplify 0 into 0
1552126201.974 * [backup-simplify]: Simplify 0 into 0
1552126201.974 * [backup-simplify]: Simplify 0 into 0
1552126201.978 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1552126201.980 * [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))))))
1552126201.981 * [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))))))
1552126201.982 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552126201.984 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1552126201.989 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
1552126201.989 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1552126201.991 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
1552126201.991 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126201.993 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552126201.995 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
1552126201.997 * [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
1552126201.998 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
1552126202.000 * [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
1552126202.000 * [taylor]: Taking taylor expansion of 0 in k
1552126202.000 * [backup-simplify]: Simplify 0 into 0
1552126202.000 * [backup-simplify]: Simplify 0 into 0
1552126202.000 * [backup-simplify]: Simplify 0 into 0
1552126202.000 * [backup-simplify]: Simplify 0 into 0
1552126202.005 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1552126202.007 * [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))))))
1552126202.008 * [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))))))
1552126202.012 * [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))))))))
1552126202.013 * [backup-simplify]: Simplify (/ (pow (/ (* -2 PI) (/ -1 (/ 1 (- n)))) (fma -1/2 (/ 1 (- k)) 1/2)) (sqrt (/ 1 (- k)))) into (/ (pow (* -2 (/ PI n)) (fma -1/2 (/ -1 k) 1/2)) (sqrt (/ -1 k)))
1552126202.013 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (fma -1/2 (/ -1 k) 1/2)) (sqrt (/ -1 k))) in (n k) around 0
1552126202.013 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (fma -1/2 (/ -1 k) 1/2)) (sqrt (/ -1 k))) in k
1552126202.013 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (fma -1/2 (/ -1 k) 1/2)) in k
1552126202.013 * [taylor]: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* -2 (/ PI n))))) in k
1552126202.013 * [taylor]: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* -2 (/ PI n)))) in k
1552126202.013 * [taylor]: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k
1552126202.013 * [taylor]: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2)
1552126202.013 * [taylor]: Taking taylor expansion of (* -1/2 (/ -1 k)) in k
1552126202.013 * [taylor]: Taking taylor expansion of -1/2 in k
1552126202.013 * [backup-simplify]: Simplify -1/2 into -1/2
1552126202.013 * [taylor]: Taking taylor expansion of (/ -1 k) in k
1552126202.013 * [taylor]: Taking taylor expansion of -1 in k
1552126202.013 * [backup-simplify]: Simplify -1 into -1
1552126202.013 * [taylor]: Taking taylor expansion of k in k
1552126202.013 * [backup-simplify]: Simplify 0 into 0
1552126202.013 * [backup-simplify]: Simplify 1 into 1
1552126202.014 * [backup-simplify]: Simplify (/ -1 1) into -1
1552126202.014 * [taylor]: Taking taylor expansion of 1/2 in k
1552126202.014 * [backup-simplify]: Simplify 1/2 into 1/2
1552126202.014 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
1552126202.014 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
1552126202.014 * [taylor]: Taking taylor expansion of -2 in k
1552126202.014 * [backup-simplify]: Simplify -2 into -2
1552126202.014 * [taylor]: Taking taylor expansion of (/ PI n) in k
1552126202.014 * [taylor]: Taking taylor expansion of PI in k
1552126202.014 * [backup-simplify]: Simplify PI into PI
1552126202.014 * [taylor]: Taking taylor expansion of n in k
1552126202.014 * [backup-simplify]: Simplify n into n
1552126202.014 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1552126202.014 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1552126202.014 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1552126202.015 * [backup-simplify]: Simplify (* -1/2 -1) into 1/2
1552126202.015 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1552126202.015 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1552126202.016 * [backup-simplify]: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* -2 (/ PI n))))) into (exp (* (log (* -2 (/ PI n))) (fma -1/2 (/ -1 k) 1/2)))
1552126202.016 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
1552126202.016 * [taylor]: Taking taylor expansion of (/ -1 k) in k
1552126202.016 * [taylor]: Taking taylor expansion of -1 in k
1552126202.016 * [backup-simplify]: Simplify -1 into -1
1552126202.016 * [taylor]: Taking taylor expansion of k in k
1552126202.016 * [backup-simplify]: Simplify 0 into 0
1552126202.016 * [backup-simplify]: Simplify 1 into 1
1552126202.016 * [backup-simplify]: Simplify (/ -1 1) into -1
1552126202.016 * [backup-simplify]: Simplify (sqrt 0) into 0
1552126202.018 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1552126202.018 * [backup-simplify]: Simplify (/ (exp (* (log (* -2 (/ PI n))) (fma -1/2 (/ -1 k) 1/2))) +nan.0) into (* +nan.0 (exp (* (log (* -2 (/ PI n))) (fma -1/2 (/ -1 k) 1/2))))
1552126202.018 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (fma -1/2 (/ -1 k) 1/2)) (sqrt (/ -1 k))) in n
1552126202.018 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (fma -1/2 (/ -1 k) 1/2)) in n
1552126202.018 * [taylor]: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* -2 (/ PI n))))) in n
1552126202.018 * [taylor]: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* -2 (/ PI n)))) in n
1552126202.018 * [taylor]: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n
1552126202.018 * [taylor]: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2)
1552126202.018 * [taylor]: Taking taylor expansion of (* -1/2 (/ -1 k)) in n
1552126202.018 * [taylor]: Taking taylor expansion of -1/2 in n
1552126202.018 * [backup-simplify]: Simplify -1/2 into -1/2
1552126202.018 * [taylor]: Taking taylor expansion of (/ -1 k) in n
1552126202.019 * [taylor]: Taking taylor expansion of -1 in n
1552126202.019 * [backup-simplify]: Simplify -1 into -1
1552126202.019 * [taylor]: Taking taylor expansion of k in n
1552126202.019 * [backup-simplify]: Simplify k into k
1552126202.019 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
1552126202.019 * [taylor]: Taking taylor expansion of 1/2 in n
1552126202.019 * [backup-simplify]: Simplify 1/2 into 1/2
1552126202.019 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1552126202.019 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1552126202.019 * [taylor]: Taking taylor expansion of -2 in n
1552126202.019 * [backup-simplify]: Simplify -2 into -2
1552126202.019 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552126202.019 * [taylor]: Taking taylor expansion of PI in n
1552126202.019 * [backup-simplify]: Simplify PI into PI
1552126202.019 * [taylor]: Taking taylor expansion of n in n
1552126202.019 * [backup-simplify]: Simplify 0 into 0
1552126202.019 * [backup-simplify]: Simplify 1 into 1
1552126202.019 * [backup-simplify]: Simplify (/ PI 1) into PI
1552126202.020 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552126202.021 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1552126202.021 * [backup-simplify]: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k)
1552126202.021 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1552126202.023 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552126202.024 * [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)))
1552126202.025 * [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))))
1552126202.025 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
1552126202.025 * [taylor]: Taking taylor expansion of (/ -1 k) in n
1552126202.025 * [taylor]: Taking taylor expansion of -1 in n
1552126202.025 * [backup-simplify]: Simplify -1 into -1
1552126202.025 * [taylor]: Taking taylor expansion of k in n
1552126202.025 * [backup-simplify]: Simplify k into k
1552126202.025 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
1552126202.025 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1552126202.026 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1552126202.026 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1552126202.027 * [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)))
1552126202.027 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (fma -1/2 (/ -1 k) 1/2)) (sqrt (/ -1 k))) in n
1552126202.027 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (fma -1/2 (/ -1 k) 1/2)) in n
1552126202.027 * [taylor]: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* -2 (/ PI n))))) in n
1552126202.027 * [taylor]: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* -2 (/ PI n)))) in n
1552126202.027 * [taylor]: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n
1552126202.027 * [taylor]: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2)
1552126202.027 * [taylor]: Taking taylor expansion of (* -1/2 (/ -1 k)) in n
1552126202.027 * [taylor]: Taking taylor expansion of -1/2 in n
1552126202.027 * [backup-simplify]: Simplify -1/2 into -1/2
1552126202.027 * [taylor]: Taking taylor expansion of (/ -1 k) in n
1552126202.027 * [taylor]: Taking taylor expansion of -1 in n
1552126202.027 * [backup-simplify]: Simplify -1 into -1
1552126202.027 * [taylor]: Taking taylor expansion of k in n
1552126202.027 * [backup-simplify]: Simplify k into k
1552126202.027 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
1552126202.027 * [taylor]: Taking taylor expansion of 1/2 in n
1552126202.027 * [backup-simplify]: Simplify 1/2 into 1/2
1552126202.027 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1552126202.027 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1552126202.027 * [taylor]: Taking taylor expansion of -2 in n
1552126202.027 * [backup-simplify]: Simplify -2 into -2
1552126202.027 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552126202.027 * [taylor]: Taking taylor expansion of PI in n
1552126202.028 * [backup-simplify]: Simplify PI into PI
1552126202.028 * [taylor]: Taking taylor expansion of n in n
1552126202.028 * [backup-simplify]: Simplify 0 into 0
1552126202.028 * [backup-simplify]: Simplify 1 into 1
1552126202.028 * [backup-simplify]: Simplify (/ PI 1) into PI
1552126202.029 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552126202.030 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1552126202.030 * [backup-simplify]: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k)
1552126202.030 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1552126202.031 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552126202.032 * [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)))
1552126202.033 * [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))))
1552126202.033 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
1552126202.033 * [taylor]: Taking taylor expansion of (/ -1 k) in n
1552126202.033 * [taylor]: Taking taylor expansion of -1 in n
1552126202.033 * [backup-simplify]: Simplify -1 into -1
1552126202.033 * [taylor]: Taking taylor expansion of k in n
1552126202.034 * [backup-simplify]: Simplify k into k
1552126202.034 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
1552126202.034 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1552126202.034 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1552126202.034 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1552126202.035 * [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)))
1552126202.035 * [taylor]: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k
1552126202.035 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
1552126202.035 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
1552126202.035 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1552126202.035 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1552126202.035 * [taylor]: Taking taylor expansion of 1/2 in k
1552126202.035 * [backup-simplify]: Simplify 1/2 into 1/2
1552126202.035 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552126202.035 * [taylor]: Taking taylor expansion of k in k
1552126202.035 * [backup-simplify]: Simplify 0 into 0
1552126202.035 * [backup-simplify]: Simplify 1 into 1
1552126202.036 * [backup-simplify]: Simplify (/ 1 1) into 1
1552126202.036 * [taylor]: Taking taylor expansion of 1/2 in k
1552126202.036 * [backup-simplify]: Simplify 1/2 into 1/2
1552126202.036 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
1552126202.036 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
1552126202.036 * [taylor]: Taking taylor expansion of (* -2 PI) in k
1552126202.036 * [taylor]: Taking taylor expansion of -2 in k
1552126202.036 * [backup-simplify]: Simplify -2 into -2
1552126202.036 * [taylor]: Taking taylor expansion of PI in k
1552126202.036 * [backup-simplify]: Simplify PI into PI
1552126202.037 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552126202.037 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1552126202.038 * [taylor]: Taking taylor expansion of (log n) in k
1552126202.038 * [taylor]: Taking taylor expansion of n in k
1552126202.038 * [backup-simplify]: Simplify n into n
1552126202.038 * [backup-simplify]: Simplify (log n) into (log n)
1552126202.038 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1552126202.039 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1552126202.039 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1552126202.040 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
1552126202.041 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
1552126202.042 * [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))))
1552126202.042 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
1552126202.042 * [taylor]: Taking taylor expansion of (/ -1 k) in k
1552126202.042 * [taylor]: Taking taylor expansion of -1 in k
1552126202.042 * [backup-simplify]: Simplify -1 into -1
1552126202.042 * [taylor]: Taking taylor expansion of k in k
1552126202.042 * [backup-simplify]: Simplify 0 into 0
1552126202.042 * [backup-simplify]: Simplify 1 into 1
1552126202.043 * [backup-simplify]: Simplify (/ -1 1) into -1
1552126202.043 * [backup-simplify]: Simplify (sqrt 0) into 0
1552126202.045 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1552126202.046 * [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)))))
1552126202.047 * [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)))))
1552126202.048 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1552126202.049 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1552126202.051 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1552126202.051 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1552126202.051 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (/ -1 k))) into 0
1552126202.052 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126202.053 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552126202.054 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1552126202.056 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1552126202.058 * [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
1552126202.058 * [taylor]: Taking taylor expansion of 0 in k
1552126202.058 * [backup-simplify]: Simplify 0 into 0
1552126202.058 * [backup-simplify]: Simplify 0 into 0
1552126202.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1552126202.062 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1552126202.064 * [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))))))
1552126202.065 * [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))))))
1552126202.066 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552126202.066 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1552126202.068 * [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
1552126202.068 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1552126202.069 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ -1 k)))) into 0
1552126202.069 * [backup-simplify]: Simplify (+ 0 0) into 0
1552126202.070 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552126202.071 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
1552126202.077 * [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
1552126202.077 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1552126202.078 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
1552126202.079 * [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
1552126202.079 * [taylor]: Taking taylor expansion of 0 in k
1552126202.079 * [backup-simplify]: Simplify 0 into 0
1552126202.079 * [backup-simplify]: Simplify 0 into 0
1552126202.079 * [backup-simplify]: Simplify 0 into 0
1552126202.079 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552126202.082 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1552126202.084 * [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))))))
1552126202.085 * [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))))))
1552126202.087 * [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)))))))))))
1552126202.087 * * * [progress]: simplifying candidates
1552126202.087 * * * * [progress]: [ 1 / 134 ] simplifiying candidate #<alt (λ (k n) (/ (log1p (expm1 (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)))) (sqrt k)))>
1552126202.088 * * * * [progress]: [ 2 / 134 ] simplifiying candidate #<alt (λ (k n) (/ (expm1 (log1p (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)))) (sqrt k)))>
1552126202.088 * * * * [progress]: [ 3 / 134 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (- (log (* -2 PI)) (log (/ -1 n))) (fma -1/2 k 1/2))) (sqrt k)))>
1552126202.088 * [simplify]: Simplifying (* (- (log (* -2 PI)) (log (/ -1 n))) (fma -1/2 k 1/2))
1552126202.088 * * [simplify]: iters left: 6 (14 enodes)
1552126202.092 * * [simplify]: iters left: 5 (54 enodes)
1552126202.104 * * [simplify]: iters left: 4 (90 enodes)
1552126202.122 * * [simplify]: iters left: 3 (224 enodes)
1552126202.227 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126202.227 * * [simplify]: Extracting #1: cost 70 inf + 0
1552126202.229 * * [simplify]: Extracting #2: cost 194 inf + 3
1552126202.230 * * [simplify]: Extracting #3: cost 203 inf + 596
1552126202.234 * * [simplify]: Extracting #4: cost 154 inf + 8081
1552126202.247 * * [simplify]: Extracting #5: cost 39 inf + 37148
1552126202.269 * * [simplify]: Extracting #6: cost 1 inf + 49440
1552126202.284 * * [simplify]: Extracting #7: cost 0 inf + 49867
1552126202.295 * [simplify]: Simplified to (* (fma -1/2 k 1/2) (- (log (* -2 PI)) (log (/ -1 n))))
1552126202.295 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (fma -1/2 k 1/2) (- (log (* -2 PI)) (log (/ -1 n))))) (sqrt k)))
1552126202.295 * * * * [progress]: [ 4 / 134 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (/ (* -2 PI) (/ -1 n))) (fma -1/2 k 1/2))) (sqrt k)))>
1552126202.295 * [simplify]: Simplifying (* (log (/ (* -2 PI) (/ -1 n))) (fma -1/2 k 1/2))
1552126202.295 * * [simplify]: iters left: 6 (13 enodes)
1552126202.300 * * [simplify]: iters left: 5 (50 enodes)
1552126202.312 * * [simplify]: iters left: 4 (94 enodes)
1552126202.333 * * [simplify]: iters left: 3 (215 enodes)
1552126202.414 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126202.414 * * [simplify]: Extracting #1: cost 42 inf + 0
1552126202.415 * * [simplify]: Extracting #2: cost 142 inf + 103
1552126202.416 * * [simplify]: Extracting #3: cost 181 inf + 274
1552126202.418 * * [simplify]: Extracting #4: cost 147 inf + 4364
1552126202.426 * * [simplify]: Extracting #5: cost 28 inf + 24032
1552126202.435 * * [simplify]: Extracting #6: cost 1 inf + 29057
1552126202.441 * * [simplify]: Extracting #7: cost 0 inf + 29143
1552126202.447 * [simplify]: Simplified to (* (fma k -1/2 1/2) (log (* 2 (* PI n))))
1552126202.447 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (fma k -1/2 1/2) (log (* 2 (* PI n))))) (sqrt k)))
1552126202.447 * * * * [progress]: [ 5 / 134 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (/ (* -2 PI) (/ -1 n))) (fma -1/2 k 1/2))) (sqrt k)))>
1552126202.448 * * * * [progress]: [ 6 / 134 ] simplifiying candidate #<alt (λ (k n) (/ (pow (/ (* -2 PI) (/ -1 n)) (* 1 (fma -1/2 k 1/2))) (sqrt k)))>
1552126202.448 * [simplify]: Simplifying (/ (* -2 PI) (/ -1 n))
1552126202.448 * * [simplify]: iters left: 4 (7 enodes)
1552126202.450 * * [simplify]: iters left: 3 (26 enodes)
1552126202.456 * * [simplify]: iters left: 2 (44 enodes)
1552126202.470 * * [simplify]: iters left: 1 (76 enodes)
1552126202.490 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126202.491 * * [simplify]: Extracting #1: cost 24 inf + 0
1552126202.491 * * [simplify]: Extracting #2: cost 27 inf + 132
1552126202.491 * * [simplify]: Extracting #3: cost 1 inf + 1593
1552126202.492 * * [simplify]: Extracting #4: cost 0 inf + 1676
1552126202.492 * [simplify]: Simplified to (/ (* PI n) 1/2)
1552126202.492 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (/ (* PI n) 1/2) (* 1 (fma -1/2 k 1/2))) (sqrt k)))
1552126202.492 * * * * [progress]: [ 7 / 134 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (/ (* -2 PI) (/ -1 n)) (* (cbrt (fma -1/2 k 1/2)) (cbrt (fma -1/2 k 1/2)))) (cbrt (fma -1/2 k 1/2))) (sqrt k)))>
1552126202.492 * [simplify]: Simplifying (cbrt (fma -1/2 k 1/2))
1552126202.493 * * [simplify]: iters left: 2 (5 enodes)
1552126202.494 * * [simplify]: iters left: 1 (17 enodes)
1552126202.497 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126202.497 * * [simplify]: Extracting #1: cost 3 inf + 0
1552126202.497 * * [simplify]: Extracting #2: cost 8 inf + 0
1552126202.497 * * [simplify]: Extracting #3: cost 6 inf + 3
1552126202.497 * * [simplify]: Extracting #4: cost 0 inf + 479
1552126202.498 * [simplify]: Simplified to (cbrt (fma -1/2 k 1/2))
1552126202.498 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (/ (* -2 PI) (/ -1 n)) (* (cbrt (fma -1/2 k 1/2)) (cbrt (fma -1/2 k 1/2)))) (cbrt (fma -1/2 k 1/2))) (sqrt k)))
1552126202.498 * * * * [progress]: [ 8 / 134 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (/ (* -2 PI) (/ -1 n)) (sqrt (fma -1/2 k 1/2))) (sqrt (fma -1/2 k 1/2))) (sqrt k)))>
1552126202.498 * [simplify]: Simplifying (sqrt (fma -1/2 k 1/2))
1552126202.498 * * [simplify]: iters left: 2 (5 enodes)
1552126202.500 * * [simplify]: iters left: 1 (17 enodes)
1552126202.502 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126202.502 * * [simplify]: Extracting #1: cost 3 inf + 0
1552126202.503 * * [simplify]: Extracting #2: cost 8 inf + 0
1552126202.503 * * [simplify]: Extracting #3: cost 6 inf + 3
1552126202.503 * * [simplify]: Extracting #4: cost 0 inf + 399
1552126202.503 * [simplify]: Simplified to (sqrt (fma -1/2 k 1/2))
1552126202.503 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (/ (* -2 PI) (/ -1 n)) (sqrt (fma -1/2 k 1/2))) (sqrt (fma -1/2 k 1/2))) (sqrt k)))
1552126202.503 * * * * [progress]: [ 9 / 134 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (/ (* -2 PI) (/ -1 n)) 1) (fma -1/2 k 1/2)) (sqrt k)))>
1552126202.503 * [simplify]: Simplifying (fma -1/2 k 1/2)
1552126202.503 * * [simplify]: iters left: 1 (4 enodes)
1552126202.505 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126202.505 * * [simplify]: Extracting #1: cost 6 inf + 0
1552126202.505 * * [simplify]: Extracting #2: cost 3 inf + 3
1552126202.505 * * [simplify]: Extracting #3: cost 1 inf + 103
1552126202.505 * * [simplify]: Extracting #4: cost 0 inf + 161
1552126202.505 * [simplify]: Simplified to (fma -1/2 k 1/2)
1552126202.505 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (/ (* -2 PI) (/ -1 n)) 1) (fma -1/2 k 1/2)) (sqrt k)))
1552126202.505 * * * * [progress]: [ 10 / 134 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (/ (* -2 PI) (/ -1 n)) (* -1/2 k)) (pow (/ (* -2 PI) (/ -1 n)) 1/2)) (sqrt k)))>
1552126202.505 * [simplify]: Simplifying (pow (/ (* -2 PI) (/ -1 n)) 1/2)
1552126202.505 * * [simplify]: iters left: 5 (9 enodes)
1552126202.508 * * [simplify]: iters left: 4 (33 enodes)
1552126202.518 * * [simplify]: iters left: 3 (50 enodes)
1552126202.535 * * [simplify]: iters left: 2 (80 enodes)
1552126202.558 * * [simplify]: iters left: 1 (110 enodes)
1552126202.580 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126202.580 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126202.580 * * [simplify]: Extracting #2: cost 28 inf + 1
1552126202.580 * * [simplify]: Extracting #3: cost 31 inf + 299
1552126202.581 * * [simplify]: Extracting #4: cost 2 inf + 2089
1552126202.582 * * [simplify]: Extracting #5: cost 0 inf + 2173
1552126202.582 * [simplify]: Simplified to (sqrt (/ (* PI n) 1/2))
1552126202.582 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (pow (/ (* -2 PI) (/ -1 n)) (* -1/2 k)) (sqrt (/ (* PI n) 1/2))) (sqrt k)))
1552126202.582 * * * * [progress]: [ 11 / 134 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* (cbrt (/ (* -2 PI) (/ -1 n))) (cbrt (/ (* -2 PI) (/ -1 n)))) (fma -1/2 k 1/2)) (pow (cbrt (/ (* -2 PI) (/ -1 n))) (fma -1/2 k 1/2))) (sqrt k)))>
1552126202.583 * [simplify]: Simplifying (pow (* (cbrt (/ (* -2 PI) (/ -1 n))) (cbrt (/ (* -2 PI) (/ -1 n)))) (fma -1/2 k 1/2))
1552126202.583 * * [simplify]: iters left: 6 (14 enodes)
1552126202.587 * * [simplify]: iters left: 5 (49 enodes)
1552126202.597 * * [simplify]: iters left: 4 (70 enodes)
1552126202.610 * * [simplify]: iters left: 3 (101 enodes)
1552126202.625 * * [simplify]: iters left: 2 (131 enodes)
1552126202.657 * * [simplify]: iters left: 1 (155 enodes)
1552126202.687 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126202.687 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126202.687 * * [simplify]: Extracting #2: cost 11 inf + 0
1552126202.687 * * [simplify]: Extracting #3: cost 9 inf + 103
1552126202.688 * * [simplify]: Extracting #4: cost 29 inf + 203
1552126202.688 * * [simplify]: Extracting #5: cost 34 inf + 459
1552126202.688 * * [simplify]: Extracting #6: cost 12 inf + 1829
1552126202.691 * * [simplify]: Extracting #7: cost 0 inf + 3635
1552126202.692 * [simplify]: Simplified to (pow (* (cbrt (/ n (/ 1/2 PI))) (cbrt (/ n (/ 1/2 PI)))) (fma -1/2 k 1/2))
1552126202.692 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow (* (cbrt (/ n (/ 1/2 PI))) (cbrt (/ n (/ 1/2 PI)))) (fma -1/2 k 1/2)) (pow (cbrt (/ (* -2 PI) (/ -1 n))) (fma -1/2 k 1/2))) (sqrt k)))
1552126202.692 * * * * [progress]: [ 12 / 134 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (sqrt (/ (* -2 PI) (/ -1 n))) (fma -1/2 k 1/2)) (pow (sqrt (/ (* -2 PI) (/ -1 n))) (fma -1/2 k 1/2))) (sqrt k)))>
1552126202.692 * [simplify]: Simplifying (pow (sqrt (/ (* -2 PI) (/ -1 n))) (fma -1/2 k 1/2))
1552126202.692 * * [simplify]: iters left: 6 (13 enodes)
1552126202.696 * * [simplify]: iters left: 5 (46 enodes)
1552126202.706 * * [simplify]: iters left: 4 (67 enodes)
1552126202.728 * * [simplify]: iters left: 3 (98 enodes)
1552126202.757 * * [simplify]: iters left: 2 (128 enodes)
1552126202.792 * * [simplify]: iters left: 1 (153 enodes)
1552126202.821 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126202.821 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126202.821 * * [simplify]: Extracting #2: cost 11 inf + 0
1552126202.821 * * [simplify]: Extracting #3: cost 30 inf + 61
1552126202.821 * * [simplify]: Extracting #4: cost 33 inf + 376
1552126202.822 * * [simplify]: Extracting #5: cost 6 inf + 1960
1552126202.823 * * [simplify]: Extracting #6: cost 0 inf + 2989
1552126202.823 * [simplify]: Simplified to (pow (sqrt (/ PI (/ 1/2 n))) (fma k -1/2 1/2))
1552126202.823 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow (sqrt (/ PI (/ 1/2 n))) (fma k -1/2 1/2)) (pow (sqrt (/ (* -2 PI) (/ -1 n))) (fma -1/2 k 1/2))) (sqrt k)))
1552126202.824 * * * * [progress]: [ 13 / 134 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (/ -2 (* (cbrt (/ -1 n)) (cbrt (/ -1 n)))) (fma -1/2 k 1/2)) (pow (/ PI (cbrt (/ -1 n))) (fma -1/2 k 1/2))) (sqrt k)))>
1552126202.824 * [simplify]: Simplifying (pow (/ -2 (* (cbrt (/ -1 n)) (cbrt (/ -1 n)))) (fma -1/2 k 1/2))
1552126202.824 * * [simplify]: iters left: 6 (12 enodes)
1552126202.828 * * [simplify]: iters left: 5 (40 enodes)
1552126202.835 * * [simplify]: iters left: 4 (46 enodes)
1552126202.849 * * [simplify]: iters left: 3 (47 enodes)
1552126202.863 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126202.863 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126202.863 * * [simplify]: Extracting #2: cost 14 inf + 0
1552126202.864 * * [simplify]: Extracting #3: cost 15 inf + 4
1552126202.864 * * [simplify]: Extracting #4: cost 16 inf + 104
1552126202.864 * * [simplify]: Extracting #5: cost 10 inf + 290
1552126202.864 * * [simplify]: Extracting #6: cost 4 inf + 1184
1552126202.865 * * [simplify]: Extracting #7: cost 1 inf + 2061
1552126202.865 * * [simplify]: Extracting #8: cost 0 inf + 2532
1552126202.866 * [simplify]: Simplified to (pow (/ (/ -2 (cbrt (/ -1 n))) (cbrt (/ -1 n))) (fma k -1/2 1/2))
1552126202.866 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow (/ (/ -2 (cbrt (/ -1 n))) (cbrt (/ -1 n))) (fma k -1/2 1/2)) (pow (/ PI (cbrt (/ -1 n))) (fma -1/2 k 1/2))) (sqrt k)))
1552126202.866 * * * * [progress]: [ 14 / 134 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (/ -2 (sqrt (/ -1 n))) (fma -1/2 k 1/2)) (pow (/ PI (sqrt (/ -1 n))) (fma -1/2 k 1/2))) (sqrt k)))>
1552126202.866 * [simplify]: Simplifying (pow (/ -2 (sqrt (/ -1 n))) (fma -1/2 k 1/2))
1552126202.866 * * [simplify]: iters left: 6 (11 enodes)
1552126202.870 * * [simplify]: iters left: 5 (35 enodes)
1552126202.876 * * [simplify]: iters left: 4 (39 enodes)
1552126202.882 * * [simplify]: iters left: 3 (40 enodes)
1552126202.889 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126202.889 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126202.889 * * [simplify]: Extracting #2: cost 12 inf + 0
1552126202.889 * * [simplify]: Extracting #3: cost 8 inf + 162
1552126202.889 * * [simplify]: Extracting #4: cost 10 inf + 204
1552126202.889 * * [simplify]: Extracting #5: cost 7 inf + 248
1552126202.890 * * [simplify]: Extracting #6: cost 4 inf + 495
1552126202.890 * * [simplify]: Extracting #7: cost 0 inf + 1482
1552126202.890 * [simplify]: Simplified to (pow (/ -2 (sqrt (/ -1 n))) (fma -1/2 k 1/2))
1552126202.890 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow (/ -2 (sqrt (/ -1 n))) (fma -1/2 k 1/2)) (pow (/ PI (sqrt (/ -1 n))) (fma -1/2 k 1/2))) (sqrt k)))
1552126202.890 * * * * [progress]: [ 15 / 134 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (/ -2 1) (fma -1/2 k 1/2)) (pow (/ PI (/ -1 n)) (fma -1/2 k 1/2))) (sqrt k)))>
1552126202.890 * [simplify]: Simplifying (pow (/ -2 1) (fma -1/2 k 1/2))
1552126202.890 * * [simplify]: iters left: 3 (8 enodes)
1552126202.893 * * [simplify]: iters left: 2 (26 enodes)
1552126202.898 * * [simplify]: iters left: 1 (32 enodes)
1552126202.908 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126202.908 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126202.908 * * [simplify]: Extracting #2: cost 8 inf + 1
1552126202.908 * * [simplify]: Extracting #3: cost 5 inf + 62
1552126202.909 * * [simplify]: Extracting #4: cost 1 inf + 473
1552126202.909 * * [simplify]: Extracting #5: cost 0 inf + 742
1552126202.909 * [simplify]: Simplified to (pow -2 (fma -1/2 k 1/2))
1552126202.909 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow -2 (fma -1/2 k 1/2)) (pow (/ PI (/ -1 n)) (fma -1/2 k 1/2))) (sqrt k)))
1552126202.909 * * * * [progress]: [ 16 / 134 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (/ -2 -1) (fma -1/2 k 1/2)) (pow (/ PI (/ 1 n)) (fma -1/2 k 1/2))) (sqrt k)))>
1552126202.910 * [simplify]: Simplifying (pow (/ -2 -1) (fma -1/2 k 1/2))
1552126202.910 * * [simplify]: iters left: 3 (8 enodes)
1552126202.915 * * [simplify]: iters left: 2 (27 enodes)
1552126202.920 * * [simplify]: iters left: 1 (31 enodes)
1552126202.927 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126202.927 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126202.927 * * [simplify]: Extracting #2: cost 8 inf + 1
1552126202.927 * * [simplify]: Extracting #3: cost 5 inf + 62
1552126202.927 * * [simplify]: Extracting #4: cost 1 inf + 473
1552126202.928 * * [simplify]: Extracting #5: cost 0 inf + 742
1552126202.928 * [simplify]: Simplified to (pow 2 (fma -1/2 k 1/2))
1552126202.928 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (pow (/ PI (/ 1 n)) (fma -1/2 k 1/2))) (sqrt k)))
1552126202.928 * * * * [progress]: [ 17 / 134 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow 1 (fma -1/2 k 1/2)) (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))) (sqrt k)))>
1552126202.928 * [simplify]: Simplifying (pow 1 (fma -1/2 k 1/2))
1552126202.928 * * [simplify]: iters left: 2 (6 enodes)
1552126202.930 * * [simplify]: iters left: 1 (20 enodes)
1552126202.934 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126202.934 * * [simplify]: Extracting #1: cost 0 inf + 1
1552126202.934 * [simplify]: Simplified to 1
1552126202.934 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* 1 (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))) (sqrt k)))
1552126202.934 * * * * [progress]: [ 18 / 134 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* -2 PI) (fma -1/2 k 1/2)) (pow (/ 1 (/ -1 n)) (fma -1/2 k 1/2))) (sqrt k)))>
1552126202.934 * [simplify]: Simplifying (pow (* -2 PI) (fma -1/2 k 1/2))
1552126202.934 * * [simplify]: iters left: 3 (8 enodes)
1552126202.937 * * [simplify]: iters left: 2 (27 enodes)
1552126202.941 * * [simplify]: iters left: 1 (31 enodes)
1552126202.950 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126202.950 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126202.950 * * [simplify]: Extracting #2: cost 12 inf + 0
1552126202.950 * * [simplify]: Extracting #3: cost 7 inf + 63
1552126202.950 * * [simplify]: Extracting #4: cost 1 inf + 599
1552126202.951 * * [simplify]: Extracting #5: cost 0 inf + 909
1552126202.951 * [simplify]: Simplified to (pow (* -2 PI) (fma -1/2 k 1/2))
1552126202.951 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow (* -2 PI) (fma -1/2 k 1/2)) (pow (/ 1 (/ -1 n)) (fma -1/2 k 1/2))) (sqrt k)))
1552126202.951 * * * * [progress]: [ 19 / 134 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (/ (* -2 PI) -1) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (sqrt k)))>
1552126202.951 * [simplify]: Simplifying (pow (/ (* -2 PI) -1) (fma -1/2 k 1/2))
1552126202.952 * * [simplify]: iters left: 5 (10 enodes)
1552126202.957 * * [simplify]: iters left: 4 (35 enodes)
1552126202.970 * * [simplify]: iters left: 3 (46 enodes)
1552126202.979 * * [simplify]: iters left: 2 (49 enodes)
1552126202.986 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126202.986 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126202.986 * * [simplify]: Extracting #2: cost 16 inf + 0
1552126202.986 * * [simplify]: Extracting #3: cost 12 inf + 7
1552126202.987 * * [simplify]: Extracting #4: cost 2 inf + 995
1552126202.987 * * [simplify]: Extracting #5: cost 0 inf + 1079
1552126202.987 * [simplify]: Simplified to (pow (* 2 PI) (fma -1/2 k 1/2))
1552126202.987 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (sqrt k)))
1552126202.987 * * * * [progress]: [ 20 / 134 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)) 1) (sqrt k)))>
1552126202.987 * * * * [progress]: [ 21 / 134 ] simplifiying candidate #<alt (λ (k n) (/ (exp (log (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)))) (sqrt k)))>
1552126202.987 * * * * [progress]: [ 22 / 134 ] simplifiying candidate #<alt (λ (k n) (/ (log (exp (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)))) (sqrt k)))>
1552126202.987 * * * * [progress]: [ 23 / 134 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (cbrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))) (cbrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)))) (cbrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)))) (sqrt k)))>
1552126202.987 * * * * [progress]: [ 24 / 134 ] simplifiying candidate #<alt (λ (k n) (/ (cbrt (* (* (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)) (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))) (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)))) (sqrt k)))>
1552126202.987 * * * * [progress]: [ 25 / 134 ] simplifiying candidate #<alt (λ (k n) (/ (* (sqrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))) (sqrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)))) (sqrt k)))>
1552126202.988 * * * * [progress]: [ 26 / 134 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))) (sqrt k)))>
1552126202.988 * * * * [progress]: [ 27 / 134 ] simplifiying candidate #<alt (λ (k n) (/ (posit16->real (real->posit16 (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)))) (sqrt k)))>
1552126202.988 * * * * [progress]: [ 28 / 134 ] simplifiying candidate #<alt (λ (k n) (/ (pow (log1p (expm1 (/ (* -2 PI) (/ -1 n)))) (fma -1/2 k 1/2)) (sqrt k)))>
1552126202.988 * * * * [progress]: [ 29 / 134 ] simplifiying candidate #<alt (λ (k n) (/ (pow (expm1 (log1p (/ (* -2 PI) (/ -1 n)))) (fma -1/2 k 1/2)) (sqrt k)))>
1552126202.988 * * * * [progress]: [ 30 / 134 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (/ (* -2 PI) (/ -1 n)) 1) (fma -1/2 k 1/2)) (sqrt k)))>
1552126202.988 * * * * [progress]: [ 31 / 134 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (- (log (* -2 PI)) (log (/ -1 n)))) (fma -1/2 k 1/2)) (sqrt k)))>
1552126202.988 * [simplify]: Simplifying (- (log (* -2 PI)) (log (/ -1 n)))
1552126202.988 * * [simplify]: iters left: 5 (9 enodes)
1552126202.991 * * [simplify]: iters left: 4 (36 enodes)
1552126202.997 * * [simplify]: iters left: 3 (56 enodes)
1552126203.007 * * [simplify]: iters left: 2 (82 enodes)
1552126203.025 * * [simplify]: iters left: 1 (118 enodes)
1552126203.066 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126203.066 * * [simplify]: Extracting #1: cost 31 inf + 0
1552126203.067 * * [simplify]: Extracting #2: cost 57 inf + 0
1552126203.067 * * [simplify]: Extracting #3: cost 46 inf + 927
1552126203.069 * * [simplify]: Extracting #4: cost 7 inf + 7743
1552126203.073 * * [simplify]: Extracting #5: cost 0 inf + 9000
1552126203.076 * [simplify]: Simplified to (- (log (* -2 PI)) (log (/ -1 n)))
1552126203.076 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (- (log (* -2 PI)) (log (/ -1 n)))) (fma -1/2 k 1/2)) (sqrt k)))
1552126203.076 * * * * [progress]: [ 32 / 134 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (log (/ (* -2 PI) (/ -1 n)))) (fma -1/2 k 1/2)) (sqrt k)))>
1552126203.077 * * * * [progress]: [ 33 / 134 ] simplifiying candidate #<alt (λ (k n) (/ (pow (log (exp (/ (* -2 PI) (/ -1 n)))) (fma -1/2 k 1/2)) (sqrt k)))>
1552126203.077 * * * * [progress]: [ 34 / 134 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (/ (* (* (* -2 PI) (* -2 PI)) (* -2 PI)) (* (* (/ -1 n) (/ -1 n)) (/ -1 n)))) (fma -1/2 k 1/2)) (sqrt k)))>
1552126203.077 * [simplify]: Simplifying (/ (* (* (* -2 PI) (* -2 PI)) (* -2 PI)) (* (* (/ -1 n) (/ -1 n)) (/ -1 n)))
1552126203.077 * * [simplify]: iters left: 6 (11 enodes)
1552126203.084 * * [simplify]: iters left: 5 (55 enodes)
1552126203.109 * * [simplify]: iters left: 4 (191 enodes)
1552126203.250 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126203.250 * * [simplify]: Extracting #1: cost 95 inf + 0
1552126203.252 * * [simplify]: Extracting #2: cost 263 inf + 1355
1552126203.264 * * [simplify]: Extracting #3: cost 99 inf + 30272
1552126203.292 * * [simplify]: Extracting #4: cost 0 inf + 46172
1552126203.305 * * [simplify]: Extracting #5: cost 0 inf + 44288
1552126203.318 * * [simplify]: Extracting #6: cost 0 inf + 43722
1552126203.338 * [simplify]: Simplified to (* (* (* n (/ PI 1/2)) (* n (/ PI 1/2))) (* n (/ PI 1/2)))
1552126203.338 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (cbrt (* (* (* n (/ PI 1/2)) (* n (/ PI 1/2))) (* n (/ PI 1/2)))) (fma -1/2 k 1/2)) (sqrt k)))
1552126203.339 * * * * [progress]: [ 35 / 134 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* (cbrt (/ (* -2 PI) (/ -1 n))) (cbrt (/ (* -2 PI) (/ -1 n)))) (cbrt (/ (* -2 PI) (/ -1 n)))) (fma -1/2 k 1/2)) (sqrt k)))>
1552126203.339 * * * * [progress]: [ 36 / 134 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (* (* (/ (* -2 PI) (/ -1 n)) (/ (* -2 PI) (/ -1 n))) (/ (* -2 PI) (/ -1 n)))) (fma -1/2 k 1/2)) (sqrt k)))>
1552126203.339 * * * * [progress]: [ 37 / 134 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (sqrt (/ (* -2 PI) (/ -1 n))) (sqrt (/ (* -2 PI) (/ -1 n)))) (fma -1/2 k 1/2)) (sqrt k)))>
1552126203.339 * * * * [progress]: [ 38 / 134 ] simplifiying candidate #<alt (λ (k n) (/ (pow (/ (- (* -2 PI)) (- (/ -1 n))) (fma -1/2 k 1/2)) (sqrt k)))>
1552126203.339 * * * * [progress]: [ 39 / 134 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (/ -2 (* (cbrt (/ -1 n)) (cbrt (/ -1 n)))) (/ PI (cbrt (/ -1 n)))) (fma -1/2 k 1/2)) (sqrt k)))>
1552126203.339 * [simplify]: Simplifying (/ -2 (* (cbrt (/ -1 n)) (cbrt (/ -1 n))))
1552126203.339 * * [simplify]: iters left: 6 (7 enodes)
1552126203.343 * * [simplify]: iters left: 5 (23 enodes)
1552126203.351 * * [simplify]: iters left: 4 (25 enodes)
1552126203.359 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126203.359 * * [simplify]: Extracting #1: cost 6 inf + 0
1552126203.359 * * [simplify]: Extracting #2: cost 9 inf + 1
1552126203.359 * * [simplify]: Extracting #3: cost 12 inf + 1
1552126203.359 * * [simplify]: Extracting #4: cost 8 inf + 87
1552126203.359 * * [simplify]: Extracting #5: cost 4 inf + 656
1552126203.360 * * [simplify]: Extracting #6: cost 1 inf + 1184
1552126203.360 * * [simplify]: Extracting #7: cost 0 inf + 1387
1552126203.360 * [simplify]: Simplified to (/ (/ -2 (cbrt (/ -1 n))) (cbrt (/ -1 n)))
1552126203.360 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* (/ (/ -2 (cbrt (/ -1 n))) (cbrt (/ -1 n))) (/ PI (cbrt (/ -1 n)))) (fma -1/2 k 1/2)) (sqrt k)))
1552126203.361 * [simplify]: Simplifying (/ PI (cbrt (/ -1 n)))
1552126203.361 * * [simplify]: iters left: 5 (6 enodes)
1552126203.364 * * [simplify]: iters left: 4 (18 enodes)
1552126203.369 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126203.369 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126203.369 * * [simplify]: Extracting #2: cost 5 inf + 1
1552126203.369 * * [simplify]: Extracting #3: cost 8 inf + 1
1552126203.370 * * [simplify]: Extracting #4: cost 0 inf + 657
1552126203.370 * [simplify]: Simplified to (/ PI (cbrt (/ -1 n)))
1552126203.370 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (* (/ -2 (* (cbrt (/ -1 n)) (cbrt (/ -1 n)))) (/ PI (cbrt (/ -1 n)))) (fma -1/2 k 1/2)) (sqrt k)))
1552126203.370 * * * * [progress]: [ 40 / 134 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (/ -2 (sqrt (/ -1 n))) (/ PI (sqrt (/ -1 n)))) (fma -1/2 k 1/2)) (sqrt k)))>
1552126203.370 * [simplify]: Simplifying (/ -2 (sqrt (/ -1 n)))
1552126203.370 * * [simplify]: iters left: 5 (6 enodes)
1552126203.374 * * [simplify]: iters left: 4 (18 enodes)
1552126203.380 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126203.380 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126203.380 * * [simplify]: Extracting #2: cost 5 inf + 1
1552126203.380 * * [simplify]: Extracting #3: cost 8 inf + 1
1552126203.380 * * [simplify]: Extracting #4: cost 0 inf + 497
1552126203.380 * [simplify]: Simplified to (/ -2 (sqrt (/ -1 n)))
1552126203.380 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* (/ -2 (sqrt (/ -1 n))) (/ PI (sqrt (/ -1 n)))) (fma -1/2 k 1/2)) (sqrt k)))
1552126203.381 * [simplify]: Simplifying (/ PI (sqrt (/ -1 n)))
1552126203.381 * * [simplify]: iters left: 5 (6 enodes)
1552126203.384 * * [simplify]: iters left: 4 (18 enodes)
1552126203.389 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126203.389 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126203.389 * * [simplify]: Extracting #2: cost 5 inf + 1
1552126203.389 * * [simplify]: Extracting #3: cost 8 inf + 1
1552126203.389 * * [simplify]: Extracting #4: cost 0 inf + 497
1552126203.389 * [simplify]: Simplified to (/ PI (sqrt (/ -1 n)))
1552126203.389 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (* (/ -2 (sqrt (/ -1 n))) (/ PI (sqrt (/ -1 n)))) (fma -1/2 k 1/2)) (sqrt k)))
1552126203.390 * * * * [progress]: [ 41 / 134 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (/ -2 1) (/ PI (/ -1 n))) (fma -1/2 k 1/2)) (sqrt k)))>
1552126203.390 * [simplify]: Simplifying (/ -2 1)
1552126203.390 * * [simplify]: iters left: 2 (3 enodes)
1552126203.392 * * [simplify]: iters left: 1 (9 enodes)
1552126203.395 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126203.395 * * [simplify]: Extracting #1: cost 0 inf + 1
1552126203.395 * [simplify]: Simplified to -2
1552126203.395 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* -2 (/ PI (/ -1 n))) (fma -1/2 k 1/2)) (sqrt k)))
1552126203.396 * [simplify]: Simplifying (/ PI (/ -1 n))
1552126203.396 * * [simplify]: iters left: 4 (5 enodes)
1552126203.399 * * [simplify]: iters left: 3 (17 enodes)
1552126203.404 * * [simplify]: iters left: 2 (22 enodes)
1552126203.414 * * [simplify]: iters left: 1 (26 enodes)
1552126203.421 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126203.422 * * [simplify]: Extracting #1: cost 8 inf + 0
1552126203.422 * * [simplify]: Extracting #2: cost 8 inf + 3
1552126203.422 * * [simplify]: Extracting #3: cost 0 inf + 421
1552126203.422 * [simplify]: Simplified to (/ PI (/ -1 n))
1552126203.422 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (* -2 (/ PI (/ -1 n))) (fma -1/2 k 1/2)) (sqrt k)))
1552126203.422 * * * * [progress]: [ 42 / 134 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (/ -2 -1) (/ PI (/ 1 n))) (fma -1/2 k 1/2)) (sqrt k)))>
1552126203.423 * [simplify]: Simplifying (/ -2 -1)
1552126203.423 * * [simplify]: iters left: 2 (3 enodes)
1552126203.426 * * [simplify]: iters left: 1 (10 enodes)
1552126203.429 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126203.429 * * [simplify]: Extracting #1: cost 0 inf + 1
1552126203.429 * [simplify]: Simplified to 2
1552126203.429 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* 2 (/ PI (/ 1 n))) (fma -1/2 k 1/2)) (sqrt k)))
1552126203.430 * [simplify]: Simplifying (/ PI (/ 1 n))
1552126203.430 * * [simplify]: iters left: 4 (5 enodes)
1552126203.432 * * [simplify]: iters left: 3 (19 enodes)
1552126203.439 * * [simplify]: iters left: 2 (21 enodes)
1552126203.444 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126203.444 * * [simplify]: Extracting #1: cost 5 inf + 0
1552126203.444 * * [simplify]: Extracting #2: cost 5 inf + 2
1552126203.445 * * [simplify]: Extracting #3: cost 0 inf + 171
1552126203.445 * [simplify]: Simplified to (* PI n)
1552126203.445 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (* 2 (* PI n)) (fma -1/2 k 1/2)) (sqrt k)))
1552126203.445 * * * * [progress]: [ 43 / 134 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 1 (/ (* -2 PI) (/ -1 n))) (fma -1/2 k 1/2)) (sqrt k)))>
1552126203.445 * * * * [progress]: [ 44 / 134 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* -2 PI) (/ 1 (/ -1 n))) (fma -1/2 k 1/2)) (sqrt k)))>
1552126203.445 * * * * [progress]: [ 45 / 134 ] simplifiying candidate #<alt (λ (k n) (/ (pow (/ 1 (/ (/ -1 n) (* -2 PI))) (fma -1/2 k 1/2)) (sqrt k)))>
1552126203.445 * * * * [progress]: [ 46 / 134 ] simplifiying candidate #<alt (λ (k n) (/ (pow (/ (/ (* -2 PI) (* (cbrt (/ -1 n)) (cbrt (/ -1 n)))) (cbrt (/ -1 n))) (fma -1/2 k 1/2)) (sqrt k)))>
1552126203.445 * [simplify]: Simplifying (cbrt (/ -1 n))
1552126203.445 * * [simplify]: iters left: 3 (4 enodes)
1552126203.448 * * [simplify]: iters left: 2 (12 enodes)
1552126203.452 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126203.452 * * [simplify]: Extracting #1: cost 3 inf + 0
1552126203.452 * * [simplify]: Extracting #2: cost 6 inf + 0
1552126203.452 * * [simplify]: Extracting #3: cost 4 inf + 2
1552126203.452 * * [simplify]: Extracting #4: cost 0 inf + 330
1552126203.452 * [simplify]: Simplified to (cbrt (/ -1 n))
1552126203.452 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (/ (/ (* -2 PI) (* (cbrt (/ -1 n)) (cbrt (/ -1 n)))) (cbrt (/ -1 n))) (fma -1/2 k 1/2)) (sqrt k)))
1552126203.452 * * * * [progress]: [ 47 / 134 ] simplifiying candidate #<alt (λ (k n) (/ (pow (/ (/ (* -2 PI) (sqrt (/ -1 n))) (sqrt (/ -1 n))) (fma -1/2 k 1/2)) (sqrt k)))>
1552126203.453 * [simplify]: Simplifying (sqrt (/ -1 n))
1552126203.453 * * [simplify]: iters left: 3 (4 enodes)
1552126203.455 * * [simplify]: iters left: 2 (12 enodes)
1552126203.459 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126203.459 * * [simplify]: Extracting #1: cost 3 inf + 0
1552126203.459 * * [simplify]: Extracting #2: cost 6 inf + 0
1552126203.459 * * [simplify]: Extracting #3: cost 4 inf + 2
1552126203.459 * * [simplify]: Extracting #4: cost 0 inf + 250
1552126203.459 * [simplify]: Simplified to (sqrt (/ -1 n))
1552126203.459 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (/ (/ (* -2 PI) (sqrt (/ -1 n))) (sqrt (/ -1 n))) (fma -1/2 k 1/2)) (sqrt k)))
1552126203.459 * * * * [progress]: [ 48 / 134 ] simplifiying candidate #<alt (λ (k n) (/ (pow (/ (/ (* -2 PI) 1) (/ -1 n)) (fma -1/2 k 1/2)) (sqrt k)))>
1552126203.459 * [simplify]: Simplifying (/ -1 n)
1552126203.459 * * [simplify]: iters left: 2 (3 enodes)
1552126203.461 * * [simplify]: iters left: 1 (9 enodes)
1552126203.464 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126203.464 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126203.464 * * [simplify]: Extracting #2: cost 2 inf + 2
1552126203.464 * * [simplify]: Extracting #3: cost 0 inf + 86
1552126203.464 * [simplify]: Simplified to (/ -1 n)
1552126203.464 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (/ (/ (* -2 PI) 1) (/ -1 n)) (fma -1/2 k 1/2)) (sqrt k)))
1552126203.465 * * * * [progress]: [ 49 / 134 ] simplifiying candidate #<alt (λ (k n) (/ (pow (/ (/ (* -2 PI) -1) (/ 1 n)) (fma -1/2 k 1/2)) (sqrt k)))>
1552126203.465 * [simplify]: Simplifying (/ 1 n)
1552126203.465 * * [simplify]: iters left: 2 (3 enodes)
1552126203.467 * * [simplify]: iters left: 1 (11 enodes)
1552126203.470 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126203.470 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126203.470 * * [simplify]: Extracting #2: cost 2 inf + 2
1552126203.470 * * [simplify]: Extracting #3: cost 0 inf + 86
1552126203.471 * [simplify]: Simplified to (/ 1 n)
1552126203.471 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (/ (/ (* -2 PI) -1) (/ 1 n)) (fma -1/2 k 1/2)) (sqrt k)))
1552126203.471 * * * * [progress]: [ 50 / 134 ] simplifiying candidate #<alt (λ (k n) (/ (pow (/ -2 (/ (/ -1 n) PI)) (fma -1/2 k 1/2)) (sqrt k)))>
1552126203.471 * * * * [progress]: [ 51 / 134 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (/ (* -2 PI) -1) n) (fma -1/2 k 1/2)) (sqrt k)))>
1552126203.471 * * * * [progress]: [ 52 / 134 ] simplifiying candidate #<alt (λ (k n) (/ (pow (posit16->real (real->posit16 (/ (* -2 PI) (/ -1 n)))) (fma -1/2 k 1/2)) (sqrt k)))>
1552126203.471 * * * * [progress]: [ 53 / 134 ] simplifiying candidate #<alt (λ (k n) (log1p (expm1 (/ (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)) (sqrt k)))))>
1552126203.471 * * * * [progress]: [ 54 / 134 ] simplifiying candidate #<alt (λ (k n) (expm1 (log1p (/ (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)) (sqrt k)))))>
1552126203.471 * * * * [progress]: [ 55 / 134 ] simplifiying candidate #<alt (λ (k n) (pow (/ (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)) (sqrt k)) 1))>
1552126203.471 * * * * [progress]: [ 56 / 134 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (- (log (* -2 PI)) (log (/ -1 n))) (fma -1/2 k 1/2)) (log (sqrt k)))))>
1552126203.471 * [simplify]: Simplifying (- (* (- (log (* -2 PI)) (log (/ -1 n))) (fma -1/2 k 1/2)) (log (sqrt k)))
1552126203.472 * * [simplify]: iters left: 6 (17 enodes)
1552126203.480 * * [simplify]: iters left: 5 (66 enodes)
1552126203.491 * * [simplify]: iters left: 4 (106 enodes)
1552126203.514 * * [simplify]: iters left: 3 (264 enodes)
1552126203.664 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126203.664 * * [simplify]: Extracting #1: cost 56 inf + 0
1552126203.665 * * [simplify]: Extracting #2: cost 226 inf + 2
1552126203.666 * * [simplify]: Extracting #3: cost 257 inf + 562
1552126203.668 * * [simplify]: Extracting #4: cost 218 inf + 9164
1552126203.677 * * [simplify]: Extracting #5: cost 73 inf + 48398
1552126203.693 * * [simplify]: Extracting #6: cost 4 inf + 72573
1552126203.722 * * [simplify]: Extracting #7: cost 0 inf + 73814
1552126203.755 * [simplify]: Simplified to (- (* (fma -1/2 k 1/2) (- (log (* -2 PI)) (log (/ -1 n)))) (log (sqrt k)))
1552126203.755 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (fma -1/2 k 1/2) (- (log (* -2 PI)) (log (/ -1 n)))) (log (sqrt k)))))
1552126203.756 * * * * [progress]: [ 57 / 134 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (/ (* -2 PI) (/ -1 n))) (fma -1/2 k 1/2)) (log (sqrt k)))))>
1552126203.756 * [simplify]: Simplifying (- (* (log (/ (* -2 PI) (/ -1 n))) (fma -1/2 k 1/2)) (log (sqrt k)))
1552126203.756 * * [simplify]: iters left: 6 (16 enodes)
1552126203.765 * * [simplify]: iters left: 5 (62 enodes)
1552126203.786 * * [simplify]: iters left: 4 (110 enodes)
1552126203.824 * * [simplify]: iters left: 3 (243 enodes)
1552126203.938 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126203.938 * * [simplify]: Extracting #1: cost 33 inf + 0
1552126203.939 * * [simplify]: Extracting #2: cost 165 inf + 2
1552126203.940 * * [simplify]: Extracting #3: cost 213 inf + 477
1552126203.942 * * [simplify]: Extracting #4: cost 162 inf + 9156
1552126203.947 * * [simplify]: Extracting #5: cost 49 inf + 29560
1552126203.955 * * [simplify]: Extracting #6: cost 2 inf + 39365
1552126203.963 * * [simplify]: Extracting #7: cost 0 inf + 39873
1552126203.975 * [simplify]: Simplified to (- (* (fma k -1/2 1/2) (log (* (* n 2) PI))) (log (sqrt k)))
1552126203.975 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (fma k -1/2 1/2) (log (* (* n 2) PI))) (log (sqrt k)))))
1552126203.975 * * * * [progress]: [ 58 / 134 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (/ (* -2 PI) (/ -1 n))) (fma -1/2 k 1/2)) (log (sqrt k)))))>
1552126203.975 * [simplify]: Simplifying (- (* (log (/ (* -2 PI) (/ -1 n))) (fma -1/2 k 1/2)) (log (sqrt k)))
1552126203.975 * * [simplify]: iters left: 6 (16 enodes)
1552126203.980 * * [simplify]: iters left: 5 (62 enodes)
1552126203.991 * * [simplify]: iters left: 4 (110 enodes)
1552126204.012 * * [simplify]: iters left: 3 (243 enodes)
1552126204.122 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126204.122 * * [simplify]: Extracting #1: cost 33 inf + 0
1552126204.123 * * [simplify]: Extracting #2: cost 165 inf + 2
1552126204.125 * * [simplify]: Extracting #3: cost 213 inf + 477
1552126204.128 * * [simplify]: Extracting #4: cost 162 inf + 9156
1552126204.139 * * [simplify]: Extracting #5: cost 49 inf + 29560
1552126204.154 * * [simplify]: Extracting #6: cost 2 inf + 39365
1552126204.171 * * [simplify]: Extracting #7: cost 0 inf + 39873
1552126204.186 * [simplify]: Simplified to (- (* (fma k -1/2 1/2) (log (* (* n 2) PI))) (log (sqrt k)))
1552126204.186 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (fma k -1/2 1/2) (log (* (* n 2) PI))) (log (sqrt k)))))
1552126204.186 * * * * [progress]: [ 59 / 134 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))) (log (sqrt k)))))>
1552126204.187 * [simplify]: Simplifying (- (log (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))) (log (sqrt k)))
1552126204.187 * * [simplify]: iters left: 6 (16 enodes)
1552126204.196 * * [simplify]: iters left: 5 (59 enodes)
1552126204.213 * * [simplify]: iters left: 4 (96 enodes)
1552126204.229 * * [simplify]: iters left: 3 (178 enodes)
1552126204.264 * * [simplify]: iters left: 2 (417 enodes)
1552126204.530 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126204.531 * * [simplify]: Extracting #1: cost 77 inf + 0
1552126204.532 * * [simplify]: Extracting #2: cost 334 inf + 45
1552126204.536 * * [simplify]: Extracting #3: cost 394 inf + 257
1552126204.542 * * [simplify]: Extracting #4: cost 310 inf + 12818
1552126204.562 * * [simplify]: Extracting #5: cost 96 inf + 60291
1552126204.595 * * [simplify]: Extracting #6: cost 8 inf + 86509
1552126204.631 * * [simplify]: Extracting #7: cost 0 inf + 89758
1552126204.672 * [simplify]: Simplified to (- (* (log (* (/ n 1/2) PI)) (fma k -1/2 1/2)) (log (sqrt k)))
1552126204.672 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (log (* (/ n 1/2) PI)) (fma k -1/2 1/2)) (log (sqrt k)))))
1552126204.672 * * * * [progress]: [ 60 / 134 ] simplifiying candidate #<alt (λ (k n) (exp (log (/ (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)) (sqrt k)))))>
1552126204.672 * * * * [progress]: [ 61 / 134 ] simplifiying candidate #<alt (λ (k n) (log (exp (/ (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)) (sqrt k)))))>
1552126204.672 * * * * [progress]: [ 62 / 134 ] simplifiying candidate #<alt (λ (k n) (cbrt (/ (* (* (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)) (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))) (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))) (* (* (sqrt k) (sqrt k)) (sqrt k)))))>
1552126204.672 * [simplify]: Simplifying (/ (* (* (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)) (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))) (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))) (* (* (sqrt k) (sqrt k)) (sqrt k)))
1552126204.673 * * [simplify]: iters left: 6 (18 enodes)
1552126204.683 * * [simplify]: iters left: 5 (68 enodes)
1552126204.706 * * [simplify]: iters left: 4 (128 enodes)
1552126204.749 * * [simplify]: iters left: 3 (219 enodes)
1552126204.820 * * [simplify]: iters left: 2 (291 enodes)
1552126204.907 * * [simplify]: iters left: 1 (336 enodes)
1552126204.967 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126204.967 * * [simplify]: Extracting #1: cost 23 inf + 0
1552126204.967 * * [simplify]: Extracting #2: cost 44 inf + 42
1552126204.968 * * [simplify]: Extracting #3: cost 67 inf + 165
1552126204.968 * * [simplify]: Extracting #4: cost 72 inf + 379
1552126204.970 * * [simplify]: Extracting #5: cost 40 inf + 2124
1552126204.974 * * [simplify]: Extracting #6: cost 17 inf + 11558
1552126204.981 * * [simplify]: Extracting #7: cost 1 inf + 18718
1552126204.989 * * [simplify]: Extracting #8: cost 0 inf + 19188
1552126204.997 * [simplify]: Simplified to (* (pow (/ (* PI n) 1/2) (fma k -1/2 1/2)) (/ (/ (* (pow (/ (* PI n) 1/2) (fma k -1/2 1/2)) (pow (/ (* PI n) 1/2) (fma k -1/2 1/2))) k) (sqrt k)))
1552126204.997 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (pow (/ (* PI n) 1/2) (fma k -1/2 1/2)) (/ (/ (* (pow (/ (* PI n) 1/2) (fma k -1/2 1/2)) (pow (/ (* PI n) 1/2) (fma k -1/2 1/2))) k) (sqrt k)))))
1552126204.997 * * * * [progress]: [ 63 / 134 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (/ (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)) (sqrt k))) (cbrt (/ (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)) (sqrt k)))) (cbrt (/ (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)) (sqrt k)))))>
1552126204.997 * * * * [progress]: [ 64 / 134 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (/ (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)) (sqrt k)) (/ (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)) (sqrt k))) (/ (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)) (sqrt k)))))>
1552126204.997 * * * * [progress]: [ 65 / 134 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)) (sqrt k))) (sqrt (/ (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)) (sqrt k)))))>
1552126204.997 * * * * [progress]: [ 66 / 134 ] simplifiying candidate #<alt (λ (k n) (/ (- (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))) (- (sqrt k))))>
1552126204.998 * * * * [progress]: [ 67 / 134 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (/ (* -2 PI) (/ -1 n)) (* -1/2 k)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (/ (* -2 PI) (/ -1 n)) 1/2) (cbrt (sqrt k)))))>
1552126204.998 * [simplify]: Simplifying (/ (pow (/ (* -2 PI) (/ -1 n)) (* -1/2 k)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1552126204.998 * * [simplify]: iters left: 6 (15 enodes)
1552126205.006 * * [simplify]: iters left: 5 (53 enodes)
1552126205.025 * * [simplify]: iters left: 4 (73 enodes)
1552126205.049 * * [simplify]: iters left: 3 (105 enodes)
1552126205.079 * * [simplify]: iters left: 2 (135 enodes)
1552126205.112 * * [simplify]: iters left: 1 (159 enodes)
1552126205.134 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126205.134 * * [simplify]: Extracting #1: cost 6 inf + 0
1552126205.134 * * [simplify]: Extracting #2: cost 13 inf + 0
1552126205.135 * * [simplify]: Extracting #3: cost 40 inf + 0
1552126205.135 * * [simplify]: Extracting #4: cost 41 inf + 260
1552126205.135 * * [simplify]: Extracting #5: cost 8 inf + 2368
1552126205.138 * * [simplify]: Extracting #6: cost 2 inf + 4193
1552126205.139 * * [simplify]: Extracting #7: cost 0 inf + 5223
1552126205.140 * [simplify]: Simplified to (/ (pow (/ PI (/ 1/2 n)) (* -1/2 k)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1552126205.140 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (/ PI (/ 1/2 n)) (* -1/2 k)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (/ (* -2 PI) (/ -1 n)) 1/2) (cbrt (sqrt k)))))
1552126205.140 * [simplify]: Simplifying (/ (pow (/ (* -2 PI) (/ -1 n)) 1/2) (cbrt (sqrt k)))
1552126205.140 * * [simplify]: iters left: 6 (13 enodes)
1552126205.144 * * [simplify]: iters left: 5 (45 enodes)
1552126205.153 * * [simplify]: iters left: 4 (62 enodes)
1552126205.173 * * [simplify]: iters left: 3 (92 enodes)
1552126205.199 * * [simplify]: iters left: 2 (122 enodes)
1552126205.232 * * [simplify]: iters left: 1 (146 enodes)
1552126205.276 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126205.276 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126205.276 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126205.276 * * [simplify]: Extracting #3: cost 32 inf + 1
1552126205.277 * * [simplify]: Extracting #4: cost 34 inf + 383
1552126205.278 * * [simplify]: Extracting #5: cost 8 inf + 1919
1552126205.279 * * [simplify]: Extracting #6: cost 0 inf + 2900
1552126205.281 * [simplify]: Simplified to (/ (sqrt (* (* PI 2) n)) (cbrt (sqrt k)))
1552126205.281 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (/ (* -2 PI) (/ -1 n)) (* -1/2 k)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (* (* PI 2) n)) (cbrt (sqrt k)))))
1552126205.281 * * * * [progress]: [ 68 / 134 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (/ (* -2 PI) (/ -1 n)) (* -1/2 k)) (sqrt (sqrt k))) (/ (pow (/ (* -2 PI) (/ -1 n)) 1/2) (sqrt (sqrt k)))))>
1552126205.282 * [simplify]: Simplifying (/ (pow (/ (* -2 PI) (/ -1 n)) (* -1/2 k)) (sqrt (sqrt k)))
1552126205.282 * * [simplify]: iters left: 6 (14 enodes)
1552126205.289 * * [simplify]: iters left: 5 (48 enodes)
1552126205.305 * * [simplify]: iters left: 4 (66 enodes)
1552126205.316 * * [simplify]: iters left: 3 (98 enodes)
1552126205.331 * * [simplify]: iters left: 2 (128 enodes)
1552126205.350 * * [simplify]: iters left: 1 (153 enodes)
1552126205.387 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126205.387 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126205.387 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126205.387 * * [simplify]: Extracting #3: cost 36 inf + 0
1552126205.387 * * [simplify]: Extracting #4: cost 38 inf + 218
1552126205.388 * * [simplify]: Extracting #5: cost 6 inf + 2008
1552126205.388 * * [simplify]: Extracting #6: cost 0 inf + 3671
1552126205.389 * [simplify]: Simplified to (/ (pow (* (* PI n) 2) (* -1/2 k)) (sqrt (sqrt k)))
1552126205.389 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI n) 2) (* -1/2 k)) (sqrt (sqrt k))) (/ (pow (/ (* -2 PI) (/ -1 n)) 1/2) (sqrt (sqrt k)))))
1552126205.390 * [simplify]: Simplifying (/ (pow (/ (* -2 PI) (/ -1 n)) 1/2) (sqrt (sqrt k)))
1552126205.390 * * [simplify]: iters left: 6 (13 enodes)
1552126205.393 * * [simplify]: iters left: 5 (45 enodes)
1552126205.400 * * [simplify]: iters left: 4 (62 enodes)
1552126205.410 * * [simplify]: iters left: 3 (92 enodes)
1552126205.424 * * [simplify]: iters left: 2 (122 enodes)
1552126205.441 * * [simplify]: iters left: 1 (146 enodes)
1552126205.470 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126205.470 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126205.470 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126205.470 * * [simplify]: Extracting #3: cost 32 inf + 1
1552126205.471 * * [simplify]: Extracting #4: cost 34 inf + 383
1552126205.472 * * [simplify]: Extracting #5: cost 8 inf + 1879
1552126205.473 * * [simplify]: Extracting #6: cost 0 inf + 2740
1552126205.475 * [simplify]: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k)))
1552126205.475 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (/ (* -2 PI) (/ -1 n)) (* -1/2 k)) (sqrt (sqrt k))) (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k)))))
1552126205.475 * * * * [progress]: [ 69 / 134 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (/ (* -2 PI) (/ -1 n)) (* -1/2 k)) 1) (/ (pow (/ (* -2 PI) (/ -1 n)) 1/2) (sqrt k))))>
1552126205.476 * [simplify]: Simplifying (/ (pow (/ (* -2 PI) (/ -1 n)) (* -1/2 k)) 1)
1552126205.476 * * [simplify]: iters left: 6 (13 enodes)
1552126205.483 * * [simplify]: iters left: 5 (45 enodes)
1552126205.499 * * [simplify]: iters left: 4 (65 enodes)
1552126205.519 * * [simplify]: iters left: 3 (97 enodes)
1552126205.534 * * [simplify]: iters left: 2 (127 enodes)
1552126205.551 * * [simplify]: iters left: 1 (152 enodes)
1552126205.590 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126205.590 * * [simplify]: Extracting #1: cost 5 inf + 0
1552126205.590 * * [simplify]: Extracting #2: cost 30 inf + 1
1552126205.591 * * [simplify]: Extracting #3: cost 31 inf + 261
1552126205.591 * * [simplify]: Extracting #4: cost 5 inf + 1974
1552126205.592 * * [simplify]: Extracting #5: cost 0 inf + 2518
1552126205.593 * [simplify]: Simplified to (pow (/ n (/ 1/2 PI)) (* -1/2 k))
1552126205.593 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (/ n (/ 1/2 PI)) (* -1/2 k)) (/ (pow (/ (* -2 PI) (/ -1 n)) 1/2) (sqrt k))))
1552126205.593 * [simplify]: Simplifying (/ (pow (/ (* -2 PI) (/ -1 n)) 1/2) (sqrt k))
1552126205.593 * * [simplify]: iters left: 6 (12 enodes)
1552126205.597 * * [simplify]: iters left: 5 (42 enodes)
1552126205.604 * * [simplify]: iters left: 4 (59 enodes)
1552126205.614 * * [simplify]: iters left: 3 (89 enodes)
1552126205.627 * * [simplify]: iters left: 2 (119 enodes)
1552126205.646 * * [simplify]: iters left: 1 (144 enodes)
1552126205.685 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126205.685 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126205.686 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126205.686 * * [simplify]: Extracting #3: cost 28 inf + 43
1552126205.686 * * [simplify]: Extracting #4: cost 32 inf + 340
1552126205.687 * * [simplify]: Extracting #5: cost 6 inf + 1841
1552126205.689 * * [simplify]: Extracting #6: cost 1 inf + 2294
1552126205.690 * * [simplify]: Extracting #7: cost 0 inf + 2498
1552126205.692 * [simplify]: Simplified to (/ (sqrt (* PI (/ n 1/2))) (sqrt k))
1552126205.692 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (/ (* -2 PI) (/ -1 n)) (* -1/2 k)) 1) (/ (sqrt (* PI (/ n 1/2))) (sqrt k))))
1552126205.692 * * * * [progress]: [ 70 / 134 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (cbrt (/ (* -2 PI) (/ -1 n))) (cbrt (/ (* -2 PI) (/ -1 n)))) (fma -1/2 k 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (cbrt (/ (* -2 PI) (/ -1 n))) (fma -1/2 k 1/2)) (cbrt (sqrt k)))))>
1552126205.692 * [simplify]: Simplifying (/ (pow (* (cbrt (/ (* -2 PI) (/ -1 n))) (cbrt (/ (* -2 PI) (/ -1 n)))) (fma -1/2 k 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1552126205.693 * * [simplify]: iters left: 6 (18 enodes)
1552126205.702 * * [simplify]: iters left: 5 (63 enodes)
1552126205.722 * * [simplify]: iters left: 4 (86 enodes)
1552126205.747 * * [simplify]: iters left: 3 (117 enodes)
1552126205.765 * * [simplify]: iters left: 2 (147 enodes)
1552126205.796 * * [simplify]: iters left: 1 (172 enodes)
1552126205.826 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126205.826 * * [simplify]: Extracting #1: cost 6 inf + 0
1552126205.826 * * [simplify]: Extracting #2: cost 13 inf + 0
1552126205.826 * * [simplify]: Extracting #3: cost 21 inf + 0
1552126205.826 * * [simplify]: Extracting #4: cost 21 inf + 3
1552126205.826 * * [simplify]: Extracting #5: cost 36 inf + 589
1552126205.826 * * [simplify]: Extracting #6: cost 36 inf + 1148
1552126205.827 * * [simplify]: Extracting #7: cost 13 inf + 2763
1552126205.828 * * [simplify]: Extracting #8: cost 4 inf + 4481
1552126205.829 * * [simplify]: Extracting #9: cost 0 inf + 6881
1552126205.830 * [simplify]: Simplified to (/ (pow (* (cbrt (* n (/ PI 1/2))) (cbrt (* n (/ PI 1/2)))) (fma -1/2 k 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1552126205.830 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (cbrt (* n (/ PI 1/2))) (cbrt (* n (/ PI 1/2)))) (fma -1/2 k 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (cbrt (/ (* -2 PI) (/ -1 n))) (fma -1/2 k 1/2)) (cbrt (sqrt k)))))
1552126205.831 * [simplify]: Simplifying (/ (pow (cbrt (/ (* -2 PI) (/ -1 n))) (fma -1/2 k 1/2)) (cbrt (sqrt k)))
1552126205.831 * * [simplify]: iters left: 6 (16 enodes)
1552126205.835 * * [simplify]: iters left: 5 (55 enodes)
1552126205.845 * * [simplify]: iters left: 4 (76 enodes)
1552126205.871 * * [simplify]: iters left: 3 (107 enodes)
1552126205.901 * * [simplify]: iters left: 2 (137 enodes)
1552126205.940 * * [simplify]: iters left: 1 (162 enodes)
1552126205.984 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126205.984 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126205.984 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126205.984 * * [simplify]: Extracting #3: cost 17 inf + 0
1552126205.985 * * [simplify]: Extracting #4: cost 35 inf + 102
1552126205.985 * * [simplify]: Extracting #5: cost 34 inf + 783
1552126205.987 * * [simplify]: Extracting #6: cost 10 inf + 2279
1552126205.988 * * [simplify]: Extracting #7: cost 0 inf + 4657
1552126205.990 * [simplify]: Simplified to (/ (pow (cbrt (* (* PI n) 2)) (fma k -1/2 1/2)) (cbrt (sqrt k)))
1552126205.991 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt (/ (* -2 PI) (/ -1 n))) (cbrt (/ (* -2 PI) (/ -1 n)))) (fma -1/2 k 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (cbrt (* (* PI n) 2)) (fma k -1/2 1/2)) (cbrt (sqrt k)))))
1552126205.991 * * * * [progress]: [ 71 / 134 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (cbrt (/ (* -2 PI) (/ -1 n))) (cbrt (/ (* -2 PI) (/ -1 n)))) (fma -1/2 k 1/2)) (sqrt (sqrt k))) (/ (pow (cbrt (/ (* -2 PI) (/ -1 n))) (fma -1/2 k 1/2)) (sqrt (sqrt k)))))>
1552126205.991 * [simplify]: Simplifying (/ (pow (* (cbrt (/ (* -2 PI) (/ -1 n))) (cbrt (/ (* -2 PI) (/ -1 n)))) (fma -1/2 k 1/2)) (sqrt (sqrt k)))
1552126205.992 * * [simplify]: iters left: 6 (17 enodes)
1552126206.001 * * [simplify]: iters left: 5 (58 enodes)
1552126206.023 * * [simplify]: iters left: 4 (79 enodes)
1552126206.047 * * [simplify]: iters left: 3 (110 enodes)
1552126206.079 * * [simplify]: iters left: 2 (140 enodes)
1552126206.118 * * [simplify]: iters left: 1 (165 enodes)
1552126206.145 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126206.145 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126206.145 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126206.145 * * [simplify]: Extracting #3: cost 17 inf + 0
1552126206.145 * * [simplify]: Extracting #4: cost 14 inf + 166
1552126206.145 * * [simplify]: Extracting #5: cost 31 inf + 447
1552126206.146 * * [simplify]: Extracting #6: cost 34 inf + 787
1552126206.146 * * [simplify]: Extracting #7: cost 7 inf + 2611
1552126206.147 * * [simplify]: Extracting #8: cost 1 inf + 4472
1552126206.148 * * [simplify]: Extracting #9: cost 0 inf + 5063
1552126206.149 * [simplify]: Simplified to (/ (pow (* (cbrt (* (* PI 2) n)) (cbrt (* (* PI 2) n))) (fma -1/2 k 1/2)) (sqrt (sqrt k)))
1552126206.149 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (cbrt (* (* PI 2) n)) (cbrt (* (* PI 2) n))) (fma -1/2 k 1/2)) (sqrt (sqrt k))) (/ (pow (cbrt (/ (* -2 PI) (/ -1 n))) (fma -1/2 k 1/2)) (sqrt (sqrt k)))))
1552126206.149 * [simplify]: Simplifying (/ (pow (cbrt (/ (* -2 PI) (/ -1 n))) (fma -1/2 k 1/2)) (sqrt (sqrt k)))
1552126206.150 * * [simplify]: iters left: 6 (16 enodes)
1552126206.154 * * [simplify]: iters left: 5 (55 enodes)
1552126206.163 * * [simplify]: iters left: 4 (76 enodes)
1552126206.181 * * [simplify]: iters left: 3 (107 enodes)
1552126206.211 * * [simplify]: iters left: 2 (137 enodes)
1552126206.241 * * [simplify]: iters left: 1 (162 enodes)
1552126206.266 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126206.266 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126206.266 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126206.266 * * [simplify]: Extracting #3: cost 17 inf + 0
1552126206.266 * * [simplify]: Extracting #4: cost 35 inf + 102
1552126206.266 * * [simplify]: Extracting #5: cost 34 inf + 703
1552126206.267 * * [simplify]: Extracting #6: cost 10 inf + 2199
1552126206.268 * * [simplify]: Extracting #7: cost 0 inf + 4497
1552126206.269 * [simplify]: Simplified to (/ (pow (cbrt (* (* PI n) 2)) (fma k -1/2 1/2)) (sqrt (sqrt k)))
1552126206.269 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt (/ (* -2 PI) (/ -1 n))) (cbrt (/ (* -2 PI) (/ -1 n)))) (fma -1/2 k 1/2)) (sqrt (sqrt k))) (/ (pow (cbrt (* (* PI n) 2)) (fma k -1/2 1/2)) (sqrt (sqrt k)))))
1552126206.269 * * * * [progress]: [ 72 / 134 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (cbrt (/ (* -2 PI) (/ -1 n))) (cbrt (/ (* -2 PI) (/ -1 n)))) (fma -1/2 k 1/2)) 1) (/ (pow (cbrt (/ (* -2 PI) (/ -1 n))) (fma -1/2 k 1/2)) (sqrt k))))>
1552126206.269 * [simplify]: Simplifying (/ (pow (* (cbrt (/ (* -2 PI) (/ -1 n))) (cbrt (/ (* -2 PI) (/ -1 n)))) (fma -1/2 k 1/2)) 1)
1552126206.269 * * [simplify]: iters left: 6 (16 enodes)
1552126206.274 * * [simplify]: iters left: 5 (55 enodes)
1552126206.283 * * [simplify]: iters left: 4 (78 enodes)
1552126206.295 * * [simplify]: iters left: 3 (109 enodes)
1552126206.318 * * [simplify]: iters left: 2 (139 enodes)
1552126206.340 * * [simplify]: iters left: 1 (164 enodes)
1552126206.376 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126206.376 * * [simplify]: Extracting #1: cost 5 inf + 0
1552126206.376 * * [simplify]: Extracting #2: cost 11 inf + 1
1552126206.376 * * [simplify]: Extracting #3: cost 9 inf + 104
1552126206.376 * * [simplify]: Extracting #4: cost 29 inf + 204
1552126206.377 * * [simplify]: Extracting #5: cost 35 inf + 418
1552126206.378 * * [simplify]: Extracting #6: cost 12 inf + 1830
1552126206.379 * * [simplify]: Extracting #7: cost 0 inf + 3636
1552126206.381 * [simplify]: Simplified to (pow (* (cbrt (/ PI (/ 1/2 n))) (cbrt (/ PI (/ 1/2 n)))) (fma -1/2 k 1/2))
1552126206.381 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (cbrt (/ PI (/ 1/2 n))) (cbrt (/ PI (/ 1/2 n)))) (fma -1/2 k 1/2)) (/ (pow (cbrt (/ (* -2 PI) (/ -1 n))) (fma -1/2 k 1/2)) (sqrt k))))
1552126206.382 * [simplify]: Simplifying (/ (pow (cbrt (/ (* -2 PI) (/ -1 n))) (fma -1/2 k 1/2)) (sqrt k))
1552126206.382 * * [simplify]: iters left: 6 (15 enodes)
1552126206.390 * * [simplify]: iters left: 5 (52 enodes)
1552126206.407 * * [simplify]: iters left: 4 (73 enodes)
1552126206.419 * * [simplify]: iters left: 3 (104 enodes)
1552126206.437 * * [simplify]: iters left: 2 (134 enodes)
1552126206.456 * * [simplify]: iters left: 1 (159 enodes)
1552126206.482 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126206.482 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126206.482 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126206.482 * * [simplify]: Extracting #3: cost 13 inf + 42
1552126206.482 * * [simplify]: Extracting #4: cost 31 inf + 185
1552126206.483 * * [simplify]: Extracting #5: cost 33 inf + 583
1552126206.483 * * [simplify]: Extracting #6: cost 9 inf + 1999
1552126206.484 * * [simplify]: Extracting #7: cost 1 inf + 3741
1552126206.485 * * [simplify]: Extracting #8: cost 0 inf + 4251
1552126206.486 * [simplify]: Simplified to (/ (pow (cbrt (* n (/ PI 1/2))) (fma k -1/2 1/2)) (sqrt k))
1552126206.486 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt (/ (* -2 PI) (/ -1 n))) (cbrt (/ (* -2 PI) (/ -1 n)))) (fma -1/2 k 1/2)) 1) (/ (pow (cbrt (* n (/ PI 1/2))) (fma k -1/2 1/2)) (sqrt k))))
1552126206.486 * * * * [progress]: [ 73 / 134 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (sqrt (/ (* -2 PI) (/ -1 n))) (fma -1/2 k 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (sqrt (/ (* -2 PI) (/ -1 n))) (fma -1/2 k 1/2)) (cbrt (sqrt k)))))>
1552126206.486 * [simplify]: Simplifying (/ (pow (sqrt (/ (* -2 PI) (/ -1 n))) (fma -1/2 k 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1552126206.486 * * [simplify]: iters left: 6 (17 enodes)
1552126206.491 * * [simplify]: iters left: 5 (60 enodes)
1552126206.503 * * [simplify]: iters left: 4 (83 enodes)
1552126206.531 * * [simplify]: iters left: 3 (114 enodes)
1552126206.563 * * [simplify]: iters left: 2 (144 enodes)
1552126206.602 * * [simplify]: iters left: 1 (169 enodes)
1552126206.631 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126206.631 * * [simplify]: Extracting #1: cost 6 inf + 0
1552126206.631 * * [simplify]: Extracting #2: cost 13 inf + 0
1552126206.632 * * [simplify]: Extracting #3: cost 21 inf + 0
1552126206.632 * * [simplify]: Extracting #4: cost 40 inf + 44
1552126206.632 * * [simplify]: Extracting #5: cost 36 inf + 1105
1552126206.633 * * [simplify]: Extracting #6: cost 12 inf + 2399
1552126206.634 * * [simplify]: Extracting #7: cost 3 inf + 4228
1552126206.637 * * [simplify]: Extracting #8: cost 0 inf + 5921
1552126206.638 * [simplify]: Simplified to (/ (pow (sqrt (* PI (* 2 n))) (fma k -1/2 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1552126206.638 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (sqrt (* PI (* 2 n))) (fma k -1/2 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (sqrt (/ (* -2 PI) (/ -1 n))) (fma -1/2 k 1/2)) (cbrt (sqrt k)))))
1552126206.639 * [simplify]: Simplifying (/ (pow (sqrt (/ (* -2 PI) (/ -1 n))) (fma -1/2 k 1/2)) (cbrt (sqrt k)))
1552126206.639 * * [simplify]: iters left: 6 (16 enodes)
1552126206.643 * * [simplify]: iters left: 5 (55 enodes)
1552126206.658 * * [simplify]: iters left: 4 (76 enodes)
1552126206.682 * * [simplify]: iters left: 3 (107 enodes)
1552126206.712 * * [simplify]: iters left: 2 (137 enodes)
1552126206.750 * * [simplify]: iters left: 1 (162 enodes)
1552126206.798 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126206.798 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126206.798 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126206.798 * * [simplify]: Extracting #3: cost 17 inf + 0
1552126206.798 * * [simplify]: Extracting #4: cost 35 inf + 102
1552126206.799 * * [simplify]: Extracting #5: cost 34 inf + 783
1552126206.800 * * [simplify]: Extracting #6: cost 10 inf + 2199
1552126206.803 * * [simplify]: Extracting #7: cost 0 inf + 4417
1552126206.804 * [simplify]: Simplified to (/ (pow (sqrt (* (* PI n) 2)) (fma k -1/2 1/2)) (cbrt (sqrt k)))
1552126206.804 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt (/ (* -2 PI) (/ -1 n))) (fma -1/2 k 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (sqrt (* (* PI n) 2)) (fma k -1/2 1/2)) (cbrt (sqrt k)))))
1552126206.805 * * * * [progress]: [ 74 / 134 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (sqrt (/ (* -2 PI) (/ -1 n))) (fma -1/2 k 1/2)) (sqrt (sqrt k))) (/ (pow (sqrt (/ (* -2 PI) (/ -1 n))) (fma -1/2 k 1/2)) (sqrt (sqrt k)))))>
1552126206.805 * [simplify]: Simplifying (/ (pow (sqrt (/ (* -2 PI) (/ -1 n))) (fma -1/2 k 1/2)) (sqrt (sqrt k)))
1552126206.805 * * [simplify]: iters left: 6 (16 enodes)
1552126206.814 * * [simplify]: iters left: 5 (55 enodes)
1552126206.827 * * [simplify]: iters left: 4 (76 enodes)
1552126206.840 * * [simplify]: iters left: 3 (107 enodes)
1552126206.860 * * [simplify]: iters left: 2 (137 enodes)
1552126206.900 * * [simplify]: iters left: 1 (162 enodes)
1552126206.944 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126206.944 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126206.944 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126206.944 * * [simplify]: Extracting #3: cost 17 inf + 0
1552126206.944 * * [simplify]: Extracting #4: cost 35 inf + 102
1552126206.944 * * [simplify]: Extracting #5: cost 34 inf + 703
1552126206.946 * * [simplify]: Extracting #6: cost 10 inf + 2119
1552126206.948 * * [simplify]: Extracting #7: cost 0 inf + 4257
1552126206.949 * [simplify]: Simplified to (/ (pow (sqrt (* (* PI n) 2)) (fma k -1/2 1/2)) (sqrt (sqrt k)))
1552126206.949 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (sqrt (* (* PI n) 2)) (fma k -1/2 1/2)) (sqrt (sqrt k))) (/ (pow (sqrt (/ (* -2 PI) (/ -1 n))) (fma -1/2 k 1/2)) (sqrt (sqrt k)))))
1552126206.950 * [simplify]: Simplifying (/ (pow (sqrt (/ (* -2 PI) (/ -1 n))) (fma -1/2 k 1/2)) (sqrt (sqrt k)))
1552126206.950 * * [simplify]: iters left: 6 (16 enodes)
1552126206.958 * * [simplify]: iters left: 5 (55 enodes)
1552126206.976 * * [simplify]: iters left: 4 (76 enodes)
1552126207.000 * * [simplify]: iters left: 3 (107 enodes)
1552126207.031 * * [simplify]: iters left: 2 (137 enodes)
1552126207.069 * * [simplify]: iters left: 1 (162 enodes)
1552126207.091 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126207.091 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126207.091 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126207.091 * * [simplify]: Extracting #3: cost 17 inf + 0
1552126207.091 * * [simplify]: Extracting #4: cost 35 inf + 102
1552126207.091 * * [simplify]: Extracting #5: cost 34 inf + 703
1552126207.092 * * [simplify]: Extracting #6: cost 10 inf + 2119
1552126207.093 * * [simplify]: Extracting #7: cost 0 inf + 4257
1552126207.094 * [simplify]: Simplified to (/ (pow (sqrt (* (* PI n) 2)) (fma k -1/2 1/2)) (sqrt (sqrt k)))
1552126207.094 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt (/ (* -2 PI) (/ -1 n))) (fma -1/2 k 1/2)) (sqrt (sqrt k))) (/ (pow (sqrt (* (* PI n) 2)) (fma k -1/2 1/2)) (sqrt (sqrt k)))))
1552126207.095 * * * * [progress]: [ 75 / 134 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (sqrt (/ (* -2 PI) (/ -1 n))) (fma -1/2 k 1/2)) 1) (/ (pow (sqrt (/ (* -2 PI) (/ -1 n))) (fma -1/2 k 1/2)) (sqrt k))))>
1552126207.095 * [simplify]: Simplifying (/ (pow (sqrt (/ (* -2 PI) (/ -1 n))) (fma -1/2 k 1/2)) 1)
1552126207.095 * * [simplify]: iters left: 6 (15 enodes)
1552126207.104 * * [simplify]: iters left: 5 (52 enodes)
1552126207.121 * * [simplify]: iters left: 4 (75 enodes)
1552126207.145 * * [simplify]: iters left: 3 (106 enodes)
1552126207.178 * * [simplify]: iters left: 2 (136 enodes)
1552126207.199 * * [simplify]: iters left: 1 (161 enodes)
1552126207.230 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126207.230 * * [simplify]: Extracting #1: cost 5 inf + 0
1552126207.230 * * [simplify]: Extracting #2: cost 11 inf + 1
1552126207.230 * * [simplify]: Extracting #3: cost 29 inf + 104
1552126207.230 * * [simplify]: Extracting #4: cost 31 inf + 461
1552126207.232 * * [simplify]: Extracting #5: cost 7 inf + 1837
1552126207.234 * * [simplify]: Extracting #6: cost 1 inf + 2601
1552126207.235 * * [simplify]: Extracting #7: cost 0 inf + 2992
1552126207.237 * [simplify]: Simplified to (pow (sqrt (* (* 2 n) PI)) (fma k -1/2 1/2))
1552126207.237 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (sqrt (* (* 2 n) PI)) (fma k -1/2 1/2)) (/ (pow (sqrt (/ (* -2 PI) (/ -1 n))) (fma -1/2 k 1/2)) (sqrt k))))
1552126207.237 * [simplify]: Simplifying (/ (pow (sqrt (/ (* -2 PI) (/ -1 n))) (fma -1/2 k 1/2)) (sqrt k))
1552126207.237 * * [simplify]: iters left: 6 (15 enodes)
1552126207.246 * * [simplify]: iters left: 5 (52 enodes)
1552126207.263 * * [simplify]: iters left: 4 (73 enodes)
1552126207.286 * * [simplify]: iters left: 3 (104 enodes)
1552126207.301 * * [simplify]: iters left: 2 (134 enodes)
1552126207.321 * * [simplify]: iters left: 1 (159 enodes)
1552126207.345 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126207.345 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126207.345 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126207.346 * * [simplify]: Extracting #3: cost 13 inf + 42
1552126207.346 * * [simplify]: Extracting #4: cost 31 inf + 185
1552126207.346 * * [simplify]: Extracting #5: cost 33 inf + 583
1552126207.348 * * [simplify]: Extracting #6: cost 9 inf + 1959
1552126207.349 * * [simplify]: Extracting #7: cost 1 inf + 3541
1552126207.351 * * [simplify]: Extracting #8: cost 0 inf + 4011
1552126207.355 * [simplify]: Simplified to (/ (pow (sqrt (* n (/ PI 1/2))) (fma k -1/2 1/2)) (sqrt k))
1552126207.355 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt (/ (* -2 PI) (/ -1 n))) (fma -1/2 k 1/2)) 1) (/ (pow (sqrt (* n (/ PI 1/2))) (fma k -1/2 1/2)) (sqrt k))))
1552126207.355 * * * * [progress]: [ 76 / 134 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (/ -2 (* (cbrt (/ -1 n)) (cbrt (/ -1 n)))) (fma -1/2 k 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (/ PI (cbrt (/ -1 n))) (fma -1/2 k 1/2)) (cbrt (sqrt k)))))>
1552126207.356 * [simplify]: Simplifying (/ (pow (/ -2 (* (cbrt (/ -1 n)) (cbrt (/ -1 n)))) (fma -1/2 k 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1552126207.356 * * [simplify]: iters left: 6 (16 enodes)
1552126207.364 * * [simplify]: iters left: 5 (54 enodes)
1552126207.381 * * [simplify]: iters left: 4 (62 enodes)
1552126207.400 * * [simplify]: iters left: 3 (63 enodes)
1552126207.419 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126207.419 * * [simplify]: Extracting #1: cost 6 inf + 0
1552126207.419 * * [simplify]: Extracting #2: cost 13 inf + 0
1552126207.419 * * [simplify]: Extracting #3: cost 24 inf + 0
1552126207.419 * * [simplify]: Extracting #4: cost 21 inf + 249
1552126207.419 * * [simplify]: Extracting #5: cost 18 inf + 850
1552126207.420 * * [simplify]: Extracting #6: cost 16 inf + 852
1552126207.420 * * [simplify]: Extracting #7: cost 11 inf + 1342
1552126207.421 * * [simplify]: Extracting #8: cost 1 inf + 5151
1552126207.423 * * [simplify]: Extracting #9: cost 0 inf + 5782
1552126207.424 * [simplify]: Simplified to (/ (pow (/ -2 (* (cbrt (/ -1 n)) (cbrt (/ -1 n)))) (fma k -1/2 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1552126207.424 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (/ -2 (* (cbrt (/ -1 n)) (cbrt (/ -1 n)))) (fma k -1/2 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (/ PI (cbrt (/ -1 n))) (fma -1/2 k 1/2)) (cbrt (sqrt k)))))
1552126207.424 * [simplify]: Simplifying (/ (pow (/ PI (cbrt (/ -1 n))) (fma -1/2 k 1/2)) (cbrt (sqrt k)))
1552126207.425 * * [simplify]: iters left: 6 (14 enodes)
1552126207.429 * * [simplify]: iters left: 5 (44 enodes)
1552126207.436 * * [simplify]: iters left: 4 (48 enodes)
1552126207.443 * * [simplify]: iters left: 3 (49 enodes)
1552126207.450 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126207.450 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126207.450 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126207.450 * * [simplify]: Extracting #3: cost 18 inf + 0
1552126207.450 * * [simplify]: Extracting #4: cost 15 inf + 103
1552126207.450 * * [simplify]: Extracting #5: cost 13 inf + 486
1552126207.451 * * [simplify]: Extracting #6: cost 10 inf + 530
1552126207.451 * * [simplify]: Extracting #7: cost 5 inf + 1062
1552126207.451 * * [simplify]: Extracting #8: cost 1 inf + 2637
1552126207.451 * * [simplify]: Extracting #9: cost 0 inf + 3228
1552126207.452 * [simplify]: Simplified to (/ (pow (/ PI (cbrt (/ -1 n))) (fma -1/2 k 1/2)) (cbrt (sqrt k)))
1552126207.452 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (/ -2 (* (cbrt (/ -1 n)) (cbrt (/ -1 n)))) (fma -1/2 k 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (/ PI (cbrt (/ -1 n))) (fma -1/2 k 1/2)) (cbrt (sqrt k)))))
1552126207.452 * * * * [progress]: [ 77 / 134 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (/ -2 (* (cbrt (/ -1 n)) (cbrt (/ -1 n)))) (fma -1/2 k 1/2)) (sqrt (sqrt k))) (/ (pow (/ PI (cbrt (/ -1 n))) (fma -1/2 k 1/2)) (sqrt (sqrt k)))))>
1552126207.452 * [simplify]: Simplifying (/ (pow (/ -2 (* (cbrt (/ -1 n)) (cbrt (/ -1 n)))) (fma -1/2 k 1/2)) (sqrt (sqrt k)))
1552126207.452 * * [simplify]: iters left: 6 (15 enodes)
1552126207.459 * * [simplify]: iters left: 5 (49 enodes)
1552126207.474 * * [simplify]: iters left: 4 (55 enodes)
1552126207.489 * * [simplify]: iters left: 3 (56 enodes)
1552126207.498 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126207.498 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126207.498 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126207.498 * * [simplify]: Extracting #3: cost 20 inf + 0
1552126207.498 * * [simplify]: Extracting #4: cost 17 inf + 249
1552126207.498 * * [simplify]: Extracting #5: cost 16 inf + 448
1552126207.498 * * [simplify]: Extracting #6: cost 14 inf + 450
1552126207.499 * * [simplify]: Extracting #7: cost 9 inf + 940
1552126207.499 * * [simplify]: Extracting #8: cost 2 inf + 2776
1552126207.499 * * [simplify]: Extracting #9: cost 0 inf + 3958
1552126207.500 * [simplify]: Simplified to (/ (pow (/ -2 (* (cbrt (/ -1 n)) (cbrt (/ -1 n)))) (fma k -1/2 1/2)) (sqrt (sqrt k)))
1552126207.500 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (/ -2 (* (cbrt (/ -1 n)) (cbrt (/ -1 n)))) (fma k -1/2 1/2)) (sqrt (sqrt k))) (/ (pow (/ PI (cbrt (/ -1 n))) (fma -1/2 k 1/2)) (sqrt (sqrt k)))))
1552126207.500 * [simplify]: Simplifying (/ (pow (/ PI (cbrt (/ -1 n))) (fma -1/2 k 1/2)) (sqrt (sqrt k)))
1552126207.500 * * [simplify]: iters left: 6 (14 enodes)
1552126207.504 * * [simplify]: iters left: 5 (44 enodes)
1552126207.511 * * [simplify]: iters left: 4 (48 enodes)
1552126207.523 * * [simplify]: iters left: 3 (49 enodes)
1552126207.537 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126207.537 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126207.538 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126207.538 * * [simplify]: Extracting #3: cost 18 inf + 0
1552126207.538 * * [simplify]: Extracting #4: cost 15 inf + 103
1552126207.538 * * [simplify]: Extracting #5: cost 13 inf + 406
1552126207.538 * * [simplify]: Extracting #6: cost 10 inf + 450
1552126207.539 * * [simplify]: Extracting #7: cost 5 inf + 982
1552126207.539 * * [simplify]: Extracting #8: cost 1 inf + 2517
1552126207.540 * * [simplify]: Extracting #9: cost 0 inf + 3068
1552126207.541 * [simplify]: Simplified to (/ (pow (/ PI (cbrt (/ -1 n))) (fma -1/2 k 1/2)) (sqrt (sqrt k)))
1552126207.541 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (/ -2 (* (cbrt (/ -1 n)) (cbrt (/ -1 n)))) (fma -1/2 k 1/2)) (sqrt (sqrt k))) (/ (pow (/ PI (cbrt (/ -1 n))) (fma -1/2 k 1/2)) (sqrt (sqrt k)))))
1552126207.541 * * * * [progress]: [ 78 / 134 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (/ -2 (* (cbrt (/ -1 n)) (cbrt (/ -1 n)))) (fma -1/2 k 1/2)) 1) (/ (pow (/ PI (cbrt (/ -1 n))) (fma -1/2 k 1/2)) (sqrt k))))>
1552126207.541 * [simplify]: Simplifying (/ (pow (/ -2 (* (cbrt (/ -1 n)) (cbrt (/ -1 n)))) (fma -1/2 k 1/2)) 1)
1552126207.542 * * [simplify]: iters left: 6 (14 enodes)
1552126207.550 * * [simplify]: iters left: 5 (46 enodes)
1552126207.566 * * [simplify]: iters left: 4 (54 enodes)
1552126207.583 * * [simplify]: iters left: 3 (55 enodes)
1552126207.599 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126207.600 * * [simplify]: Extracting #1: cost 5 inf + 0
1552126207.600 * * [simplify]: Extracting #2: cost 14 inf + 1
1552126207.600 * * [simplify]: Extracting #3: cost 15 inf + 5
1552126207.600 * * [simplify]: Extracting #4: cost 14 inf + 205
1552126207.600 * * [simplify]: Extracting #5: cost 11 inf + 249
1552126207.601 * * [simplify]: Extracting #6: cost 6 inf + 860
1552126207.601 * * [simplify]: Extracting #7: cost 1 inf + 2062
1552126207.602 * * [simplify]: Extracting #8: cost 0 inf + 2533
1552126207.603 * [simplify]: Simplified to (pow (/ (/ -2 (cbrt (/ -1 n))) (cbrt (/ -1 n))) (fma k -1/2 1/2))
1552126207.603 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (/ (/ -2 (cbrt (/ -1 n))) (cbrt (/ -1 n))) (fma k -1/2 1/2)) (/ (pow (/ PI (cbrt (/ -1 n))) (fma -1/2 k 1/2)) (sqrt k))))
1552126207.603 * [simplify]: Simplifying (/ (pow (/ PI (cbrt (/ -1 n))) (fma -1/2 k 1/2)) (sqrt k))
1552126207.603 * * [simplify]: iters left: 6 (13 enodes)
1552126207.610 * * [simplify]: iters left: 5 (41 enodes)
1552126207.626 * * [simplify]: iters left: 4 (45 enodes)
1552126207.637 * * [simplify]: iters left: 3 (46 enodes)
1552126207.644 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126207.644 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126207.644 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126207.644 * * [simplify]: Extracting #3: cost 15 inf + 1
1552126207.644 * * [simplify]: Extracting #4: cost 12 inf + 145
1552126207.644 * * [simplify]: Extracting #5: cost 12 inf + 286
1552126207.644 * * [simplify]: Extracting #6: cost 9 inf + 330
1552126207.644 * * [simplify]: Extracting #7: cost 6 inf + 657
1552126207.645 * * [simplify]: Extracting #8: cost 2 inf + 1884
1552126207.645 * * [simplify]: Extracting #9: cost 0 inf + 2826
1552126207.645 * [simplify]: Simplified to (/ (pow (/ PI (cbrt (/ -1 n))) (fma -1/2 k 1/2)) (sqrt k))
1552126207.645 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (/ -2 (* (cbrt (/ -1 n)) (cbrt (/ -1 n)))) (fma -1/2 k 1/2)) 1) (/ (pow (/ PI (cbrt (/ -1 n))) (fma -1/2 k 1/2)) (sqrt k))))
1552126207.646 * * * * [progress]: [ 79 / 134 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (/ -2 (sqrt (/ -1 n))) (fma -1/2 k 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (/ PI (sqrt (/ -1 n))) (fma -1/2 k 1/2)) (cbrt (sqrt k)))))>
1552126207.646 * [simplify]: Simplifying (/ (pow (/ -2 (sqrt (/ -1 n))) (fma -1/2 k 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1552126207.646 * * [simplify]: iters left: 6 (15 enodes)
1552126207.650 * * [simplify]: iters left: 5 (49 enodes)
1552126207.658 * * [simplify]: iters left: 4 (55 enodes)
1552126207.671 * * [simplify]: iters left: 3 (56 enodes)
1552126207.685 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126207.685 * * [simplify]: Extracting #1: cost 6 inf + 0
1552126207.685 * * [simplify]: Extracting #2: cost 13 inf + 0
1552126207.685 * * [simplify]: Extracting #3: cost 22 inf + 0
1552126207.685 * * [simplify]: Extracting #4: cost 20 inf + 46
1552126207.686 * * [simplify]: Extracting #5: cost 16 inf + 631
1552126207.686 * * [simplify]: Extracting #6: cost 12 inf + 852
1552126207.686 * * [simplify]: Extracting #7: cost 7 inf + 1223
1552126207.686 * * [simplify]: Extracting #8: cost 0 inf + 4412
1552126207.687 * [simplify]: Simplified to (/ (pow (/ -2 (sqrt (/ -1 n))) (fma -1/2 k 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1552126207.687 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (/ -2 (sqrt (/ -1 n))) (fma -1/2 k 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (/ PI (sqrt (/ -1 n))) (fma -1/2 k 1/2)) (cbrt (sqrt k)))))
1552126207.687 * [simplify]: Simplifying (/ (pow (/ PI (sqrt (/ -1 n))) (fma -1/2 k 1/2)) (cbrt (sqrt k)))
1552126207.687 * * [simplify]: iters left: 6 (14 enodes)
1552126207.691 * * [simplify]: iters left: 5 (44 enodes)
1552126207.698 * * [simplify]: iters left: 4 (48 enodes)
1552126207.705 * * [simplify]: iters left: 3 (49 enodes)
1552126207.712 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126207.712 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126207.712 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126207.712 * * [simplify]: Extracting #3: cost 18 inf + 0
1552126207.712 * * [simplify]: Extracting #4: cost 15 inf + 103
1552126207.712 * * [simplify]: Extracting #5: cost 13 inf + 486
1552126207.713 * * [simplify]: Extracting #6: cost 10 inf + 530
1552126207.713 * * [simplify]: Extracting #7: cost 5 inf + 942
1552126207.713 * * [simplify]: Extracting #8: cost 1 inf + 2357
1552126207.714 * * [simplify]: Extracting #9: cost 0 inf + 2908
1552126207.714 * [simplify]: Simplified to (/ (pow (/ PI (sqrt (/ -1 n))) (fma -1/2 k 1/2)) (cbrt (sqrt k)))
1552126207.715 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (/ -2 (sqrt (/ -1 n))) (fma -1/2 k 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (/ PI (sqrt (/ -1 n))) (fma -1/2 k 1/2)) (cbrt (sqrt k)))))
1552126207.715 * * * * [progress]: [ 80 / 134 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (/ -2 (sqrt (/ -1 n))) (fma -1/2 k 1/2)) (sqrt (sqrt k))) (/ (pow (/ PI (sqrt (/ -1 n))) (fma -1/2 k 1/2)) (sqrt (sqrt k)))))>
1552126207.715 * [simplify]: Simplifying (/ (pow (/ -2 (sqrt (/ -1 n))) (fma -1/2 k 1/2)) (sqrt (sqrt k)))
1552126207.715 * * [simplify]: iters left: 6 (14 enodes)
1552126207.725 * * [simplify]: iters left: 5 (44 enodes)
1552126207.742 * * [simplify]: iters left: 4 (48 enodes)
1552126207.757 * * [simplify]: iters left: 3 (49 enodes)
1552126207.772 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126207.772 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126207.772 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126207.772 * * [simplify]: Extracting #3: cost 18 inf + 0
1552126207.772 * * [simplify]: Extracting #4: cost 15 inf + 103
1552126207.772 * * [simplify]: Extracting #5: cost 13 inf + 406
1552126207.773 * * [simplify]: Extracting #6: cost 10 inf + 450
1552126207.773 * * [simplify]: Extracting #7: cost 5 inf + 862
1552126207.774 * * [simplify]: Extracting #8: cost 1 inf + 2237
1552126207.774 * * [simplify]: Extracting #9: cost 0 inf + 2748
1552126207.775 * [simplify]: Simplified to (/ (pow (/ -2 (sqrt (/ -1 n))) (fma -1/2 k 1/2)) (sqrt (sqrt k)))
1552126207.775 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (/ -2 (sqrt (/ -1 n))) (fma -1/2 k 1/2)) (sqrt (sqrt k))) (/ (pow (/ PI (sqrt (/ -1 n))) (fma -1/2 k 1/2)) (sqrt (sqrt k)))))
1552126207.776 * [simplify]: Simplifying (/ (pow (/ PI (sqrt (/ -1 n))) (fma -1/2 k 1/2)) (sqrt (sqrt k)))
1552126207.776 * * [simplify]: iters left: 6 (14 enodes)
1552126207.783 * * [simplify]: iters left: 5 (44 enodes)
1552126207.796 * * [simplify]: iters left: 4 (48 enodes)
1552126207.811 * * [simplify]: iters left: 3 (49 enodes)
1552126207.825 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126207.825 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126207.825 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126207.825 * * [simplify]: Extracting #3: cost 18 inf + 0
1552126207.825 * * [simplify]: Extracting #4: cost 15 inf + 103
1552126207.825 * * [simplify]: Extracting #5: cost 13 inf + 406
1552126207.826 * * [simplify]: Extracting #6: cost 10 inf + 450
1552126207.826 * * [simplify]: Extracting #7: cost 5 inf + 862
1552126207.827 * * [simplify]: Extracting #8: cost 1 inf + 2237
1552126207.827 * * [simplify]: Extracting #9: cost 0 inf + 2748
1552126207.828 * [simplify]: Simplified to (/ (pow (/ PI (sqrt (/ -1 n))) (fma -1/2 k 1/2)) (sqrt (sqrt k)))
1552126207.828 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (/ -2 (sqrt (/ -1 n))) (fma -1/2 k 1/2)) (sqrt (sqrt k))) (/ (pow (/ PI (sqrt (/ -1 n))) (fma -1/2 k 1/2)) (sqrt (sqrt k)))))
1552126207.828 * * * * [progress]: [ 81 / 134 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (/ -2 (sqrt (/ -1 n))) (fma -1/2 k 1/2)) 1) (/ (pow (/ PI (sqrt (/ -1 n))) (fma -1/2 k 1/2)) (sqrt k))))>
1552126207.829 * [simplify]: Simplifying (/ (pow (/ -2 (sqrt (/ -1 n))) (fma -1/2 k 1/2)) 1)
1552126207.829 * * [simplify]: iters left: 6 (13 enodes)
1552126207.836 * * [simplify]: iters left: 5 (41 enodes)
1552126207.850 * * [simplify]: iters left: 4 (47 enodes)
1552126207.865 * * [simplify]: iters left: 3 (48 enodes)
1552126207.879 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126207.879 * * [simplify]: Extracting #1: cost 5 inf + 0
1552126207.879 * * [simplify]: Extracting #2: cost 12 inf + 1
1552126207.879 * * [simplify]: Extracting #3: cost 9 inf + 105
1552126207.880 * * [simplify]: Extracting #4: cost 10 inf + 205
1552126207.880 * * [simplify]: Extracting #5: cost 7 inf + 249
1552126207.880 * * [simplify]: Extracting #6: cost 4 inf + 496
1552126207.881 * * [simplify]: Extracting #7: cost 1 inf + 1092
1552126207.881 * * [simplify]: Extracting #8: cost 0 inf + 1483
1552126207.882 * [simplify]: Simplified to (pow (/ -2 (sqrt (/ -1 n))) (fma -1/2 k 1/2))
1552126207.882 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (/ -2 (sqrt (/ -1 n))) (fma -1/2 k 1/2)) (/ (pow (/ PI (sqrt (/ -1 n))) (fma -1/2 k 1/2)) (sqrt k))))
1552126207.882 * [simplify]: Simplifying (/ (pow (/ PI (sqrt (/ -1 n))) (fma -1/2 k 1/2)) (sqrt k))
1552126207.882 * * [simplify]: iters left: 6 (13 enodes)
1552126207.891 * * [simplify]: iters left: 5 (41 enodes)
1552126207.898 * * [simplify]: iters left: 4 (45 enodes)
1552126207.905 * * [simplify]: iters left: 3 (46 enodes)
1552126207.912 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126207.912 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126207.912 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126207.912 * * [simplify]: Extracting #3: cost 15 inf + 1
1552126207.913 * * [simplify]: Extracting #4: cost 12 inf + 145
1552126207.913 * * [simplify]: Extracting #5: cost 12 inf + 286
1552126207.913 * * [simplify]: Extracting #6: cost 9 inf + 330
1552126207.913 * * [simplify]: Extracting #7: cost 6 inf + 577
1552126207.913 * * [simplify]: Extracting #8: cost 2 inf + 1644
1552126207.914 * * [simplify]: Extracting #9: cost 0 inf + 2506
1552126207.914 * [simplify]: Simplified to (/ (pow (/ PI (sqrt (/ -1 n))) (fma -1/2 k 1/2)) (sqrt k))
1552126207.914 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (/ -2 (sqrt (/ -1 n))) (fma -1/2 k 1/2)) (/ (pow (/ PI (sqrt (/ -1 n))) (fma -1/2 k 1/2)) (sqrt k))))
1552126207.914 * * * * [progress]: [ 82 / 134 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (/ -2 1) (fma -1/2 k 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (/ PI (/ -1 n)) (fma -1/2 k 1/2)) (cbrt (sqrt k)))))>
1552126207.914 * [simplify]: Simplifying (/ (pow (/ -2 1) (fma -1/2 k 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1552126207.914 * * [simplify]: iters left: 6 (12 enodes)
1552126207.919 * * [simplify]: iters left: 5 (40 enodes)
1552126207.932 * * [simplify]: iters left: 4 (48 enodes)
1552126207.946 * * [simplify]: iters left: 3 (49 enodes)
1552126207.960 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126207.960 * * [simplify]: Extracting #1: cost 6 inf + 0
1552126207.960 * * [simplify]: Extracting #2: cost 13 inf + 0
1552126207.960 * * [simplify]: Extracting #3: cost 18 inf + 1
1552126207.961 * * [simplify]: Extracting #4: cost 16 inf + 4
1552126207.961 * * [simplify]: Extracting #5: cost 7 inf + 1024
1552126207.961 * * [simplify]: Extracting #6: cost 3 inf + 2125
1552126207.962 * * [simplify]: Extracting #7: cost 0 inf + 3184
1552126207.963 * [simplify]: Simplified to (/ (/ (pow -2 (fma -1/2 k 1/2)) (cbrt (sqrt k))) (cbrt (sqrt k)))
1552126207.963 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow -2 (fma -1/2 k 1/2)) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow (/ PI (/ -1 n)) (fma -1/2 k 1/2)) (cbrt (sqrt k)))))
1552126207.963 * [simplify]: Simplifying (/ (pow (/ PI (/ -1 n)) (fma -1/2 k 1/2)) (cbrt (sqrt k)))
1552126207.963 * * [simplify]: iters left: 6 (13 enodes)
1552126207.970 * * [simplify]: iters left: 5 (43 enodes)
1552126207.983 * * [simplify]: iters left: 4 (52 enodes)
1552126207.992 * * [simplify]: iters left: 3 (57 enodes)
1552126208.000 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126208.000 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126208.000 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126208.000 * * [simplify]: Extracting #3: cost 22 inf + 0
1552126208.000 * * [simplify]: Extracting #4: cost 18 inf + 90
1552126208.000 * * [simplify]: Extracting #5: cost 7 inf + 1074
1552126208.001 * * [simplify]: Extracting #6: cost 1 inf + 2161
1552126208.001 * * [simplify]: Extracting #7: cost 0 inf + 2672
1552126208.003 * [simplify]: Simplified to (/ (pow (/ PI (/ -1 n)) (fma -1/2 k 1/2)) (cbrt (sqrt k)))
1552126208.003 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow -2 (fma -1/2 k 1/2)) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow (/ PI (/ -1 n)) (fma -1/2 k 1/2)) (cbrt (sqrt k)))))
1552126208.003 * * * * [progress]: [ 83 / 134 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (/ -2 1) (fma -1/2 k 1/2)) (sqrt (sqrt k))) (/ (pow (/ PI (/ -1 n)) (fma -1/2 k 1/2)) (sqrt (sqrt k)))))>
1552126208.003 * [simplify]: Simplifying (/ (pow (/ -2 1) (fma -1/2 k 1/2)) (sqrt (sqrt k)))
1552126208.004 * * [simplify]: iters left: 5 (11 enodes)
1552126208.008 * * [simplify]: iters left: 4 (35 enodes)
1552126208.020 * * [simplify]: iters left: 3 (41 enodes)
1552126208.027 * * [simplify]: iters left: 2 (42 enodes)
1552126208.033 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126208.033 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126208.033 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126208.033 * * [simplify]: Extracting #3: cost 14 inf + 1
1552126208.033 * * [simplify]: Extracting #4: cost 8 inf + 209
1552126208.034 * * [simplify]: Extracting #5: cost 3 inf + 717
1552126208.034 * * [simplify]: Extracting #6: cost 0 inf + 1764
1552126208.034 * [simplify]: Simplified to (/ (pow -2 (fma -1/2 k 1/2)) (sqrt (sqrt k)))
1552126208.034 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow -2 (fma -1/2 k 1/2)) (sqrt (sqrt k))) (/ (pow (/ PI (/ -1 n)) (fma -1/2 k 1/2)) (sqrt (sqrt k)))))
1552126208.034 * [simplify]: Simplifying (/ (pow (/ PI (/ -1 n)) (fma -1/2 k 1/2)) (sqrt (sqrt k)))
1552126208.034 * * [simplify]: iters left: 6 (13 enodes)
1552126208.038 * * [simplify]: iters left: 5 (43 enodes)
1552126208.045 * * [simplify]: iters left: 4 (52 enodes)
1552126208.053 * * [simplify]: iters left: 3 (57 enodes)
1552126208.061 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126208.061 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126208.061 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126208.061 * * [simplify]: Extracting #3: cost 22 inf + 0
1552126208.061 * * [simplify]: Extracting #4: cost 18 inf + 90
1552126208.061 * * [simplify]: Extracting #5: cost 7 inf + 994
1552126208.061 * * [simplify]: Extracting #6: cost 1 inf + 2041
1552126208.062 * * [simplify]: Extracting #7: cost 0 inf + 2512
1552126208.062 * [simplify]: Simplified to (/ (pow (/ PI (/ -1 n)) (fma -1/2 k 1/2)) (sqrt (sqrt k)))
1552126208.062 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow -2 (fma -1/2 k 1/2)) (sqrt (sqrt k))) (/ (pow (/ PI (/ -1 n)) (fma -1/2 k 1/2)) (sqrt (sqrt k)))))
1552126208.062 * * * * [progress]: [ 84 / 134 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (/ -2 1) (fma -1/2 k 1/2)) 1) (/ (pow (/ PI (/ -1 n)) (fma -1/2 k 1/2)) (sqrt k))))>
1552126208.063 * [simplify]: Simplifying (/ (pow (/ -2 1) (fma -1/2 k 1/2)) 1)
1552126208.063 * * [simplify]: iters left: 5 (9 enodes)
1552126208.066 * * [simplify]: iters left: 4 (27 enodes)
1552126208.070 * * [simplify]: iters left: 3 (33 enodes)
1552126208.078 * * [simplify]: iters left: 2 (34 enodes)
1552126208.088 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126208.088 * * [simplify]: Extracting #1: cost 5 inf + 0
1552126208.088 * * [simplify]: Extracting #2: cost 8 inf + 2
1552126208.089 * * [simplify]: Extracting #3: cost 2 inf + 432
1552126208.089 * * [simplify]: Extracting #4: cost 0 inf + 743
1552126208.089 * [simplify]: Simplified to (pow -2 (fma -1/2 k 1/2))
1552126208.089 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow -2 (fma -1/2 k 1/2)) (/ (pow (/ PI (/ -1 n)) (fma -1/2 k 1/2)) (sqrt k))))
1552126208.090 * [simplify]: Simplifying (/ (pow (/ PI (/ -1 n)) (fma -1/2 k 1/2)) (sqrt k))
1552126208.090 * * [simplify]: iters left: 6 (12 enodes)
1552126208.096 * * [simplify]: iters left: 5 (40 enodes)
1552126208.109 * * [simplify]: iters left: 4 (49 enodes)
1552126208.127 * * [simplify]: iters left: 3 (54 enodes)
1552126208.142 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126208.142 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126208.142 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126208.143 * * [simplify]: Extracting #3: cost 18 inf + 42
1552126208.143 * * [simplify]: Extracting #4: cost 14 inf + 172
1552126208.143 * * [simplify]: Extracting #5: cost 5 inf + 1225
1552126208.144 * * [simplify]: Extracting #6: cost 1 inf + 1839
1552126208.144 * * [simplify]: Extracting #7: cost 0 inf + 2270
1552126208.145 * [simplify]: Simplified to (/ (pow (/ PI (/ -1 n)) (fma -1/2 k 1/2)) (sqrt k))
1552126208.145 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow -2 (fma -1/2 k 1/2)) (/ (pow (/ PI (/ -1 n)) (fma -1/2 k 1/2)) (sqrt k))))
1552126208.145 * * * * [progress]: [ 85 / 134 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (/ -2 -1) (fma -1/2 k 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (/ PI (/ 1 n)) (fma -1/2 k 1/2)) (cbrt (sqrt k)))))>
1552126208.146 * [simplify]: Simplifying (/ (pow (/ -2 -1) (fma -1/2 k 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1552126208.146 * * [simplify]: iters left: 6 (12 enodes)
1552126208.154 * * [simplify]: iters left: 5 (41 enodes)
1552126208.168 * * [simplify]: iters left: 4 (47 enodes)
1552126208.182 * * [simplify]: iters left: 3 (48 enodes)
1552126208.196 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126208.196 * * [simplify]: Extracting #1: cost 6 inf + 0
1552126208.196 * * [simplify]: Extracting #2: cost 13 inf + 0
1552126208.196 * * [simplify]: Extracting #3: cost 18 inf + 1
1552126208.196 * * [simplify]: Extracting #4: cost 12 inf + 328
1552126208.197 * * [simplify]: Extracting #5: cost 5 inf + 1654
1552126208.198 * * [simplify]: Extracting #6: cost 1 inf + 2755
1552126208.198 * * [simplify]: Extracting #7: cost 0 inf + 3184
1552126208.199 * [simplify]: Simplified to (/ (pow 2 (fma -1/2 k 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1552126208.199 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow 2 (fma -1/2 k 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (/ PI (/ 1 n)) (fma -1/2 k 1/2)) (cbrt (sqrt k)))))
1552126208.199 * [simplify]: Simplifying (/ (pow (/ PI (/ 1 n)) (fma -1/2 k 1/2)) (cbrt (sqrt k)))
1552126208.199 * * [simplify]: iters left: 6 (13 enodes)
1552126208.206 * * [simplify]: iters left: 5 (45 enodes)
1552126208.220 * * [simplify]: iters left: 4 (51 enodes)
1552126208.235 * * [simplify]: iters left: 3 (52 enodes)
1552126208.251 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126208.251 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126208.251 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126208.251 * * [simplify]: Extracting #3: cost 19 inf + 0
1552126208.251 * * [simplify]: Extracting #4: cost 14 inf + 209
1552126208.252 * * [simplify]: Extracting #5: cost 1 inf + 2216
1552126208.252 * * [simplify]: Extracting #6: cost 0 inf + 2258
1552126208.253 * [simplify]: Simplified to (/ (pow (* PI n) (fma -1/2 k 1/2)) (cbrt (sqrt k)))
1552126208.253 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow 2 (fma -1/2 k 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI n) (fma -1/2 k 1/2)) (cbrt (sqrt k)))))
1552126208.253 * * * * [progress]: [ 86 / 134 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (/ -2 -1) (fma -1/2 k 1/2)) (sqrt (sqrt k))) (/ (pow (/ PI (/ 1 n)) (fma -1/2 k 1/2)) (sqrt (sqrt k)))))>
1552126208.253 * [simplify]: Simplifying (/ (pow (/ -2 -1) (fma -1/2 k 1/2)) (sqrt (sqrt k)))
1552126208.253 * * [simplify]: iters left: 5 (11 enodes)
1552126208.260 * * [simplify]: iters left: 4 (36 enodes)
1552126208.273 * * [simplify]: iters left: 3 (40 enodes)
1552126208.288 * * [simplify]: iters left: 2 (41 enodes)
1552126208.301 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126208.301 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126208.301 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126208.301 * * [simplify]: Extracting #3: cost 14 inf + 1
1552126208.301 * * [simplify]: Extracting #4: cost 8 inf + 209
1552126208.301 * * [simplify]: Extracting #5: cost 3 inf + 717
1552126208.301 * * [simplify]: Extracting #6: cost 0 inf + 1764
1552126208.302 * [simplify]: Simplified to (/ (pow 2 (fma -1/2 k 1/2)) (sqrt (sqrt k)))
1552126208.302 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow 2 (fma -1/2 k 1/2)) (sqrt (sqrt k))) (/ (pow (/ PI (/ 1 n)) (fma -1/2 k 1/2)) (sqrt (sqrt k)))))
1552126208.302 * [simplify]: Simplifying (/ (pow (/ PI (/ 1 n)) (fma -1/2 k 1/2)) (sqrt (sqrt k)))
1552126208.302 * * [simplify]: iters left: 6 (13 enodes)
1552126208.306 * * [simplify]: iters left: 5 (45 enodes)
1552126208.313 * * [simplify]: iters left: 4 (51 enodes)
1552126208.320 * * [simplify]: iters left: 3 (52 enodes)
1552126208.334 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126208.334 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126208.334 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126208.334 * * [simplify]: Extracting #3: cost 19 inf + 0
1552126208.334 * * [simplify]: Extracting #4: cost 14 inf + 169
1552126208.335 * * [simplify]: Extracting #5: cost 1 inf + 2056
1552126208.335 * * [simplify]: Extracting #6: cost 0 inf + 2098
1552126208.336 * [simplify]: Simplified to (/ (pow (* PI n) (fma -1/2 k 1/2)) (sqrt (sqrt k)))
1552126208.336 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow 2 (fma -1/2 k 1/2)) (sqrt (sqrt k))) (/ (pow (* PI n) (fma -1/2 k 1/2)) (sqrt (sqrt k)))))
1552126208.336 * * * * [progress]: [ 87 / 134 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (/ -2 -1) (fma -1/2 k 1/2)) 1) (/ (pow (/ PI (/ 1 n)) (fma -1/2 k 1/2)) (sqrt k))))>
1552126208.336 * [simplify]: Simplifying (/ (pow (/ -2 -1) (fma -1/2 k 1/2)) 1)
1552126208.337 * * [simplify]: iters left: 5 (10 enodes)
1552126208.344 * * [simplify]: iters left: 4 (33 enodes)
1552126208.353 * * [simplify]: iters left: 3 (39 enodes)
1552126208.359 * * [simplify]: iters left: 2 (40 enodes)
1552126208.365 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126208.365 * * [simplify]: Extracting #1: cost 5 inf + 0
1552126208.365 * * [simplify]: Extracting #2: cost 8 inf + 2
1552126208.365 * * [simplify]: Extracting #3: cost 2 inf + 643
1552126208.365 * * [simplify]: Extracting #4: cost 0 inf + 743
1552126208.366 * [simplify]: Simplified to (pow 2 (fma -1/2 k 1/2))
1552126208.366 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (/ (pow (/ PI (/ 1 n)) (fma -1/2 k 1/2)) (sqrt k))))
1552126208.366 * [simplify]: Simplifying (/ (pow (/ PI (/ 1 n)) (fma -1/2 k 1/2)) (sqrt k))
1552126208.366 * * [simplify]: iters left: 6 (12 enodes)
1552126208.369 * * [simplify]: iters left: 5 (42 enodes)
1552126208.376 * * [simplify]: iters left: 4 (48 enodes)
1552126208.385 * * [simplify]: iters left: 3 (49 enodes)
1552126208.392 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126208.392 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126208.392 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126208.392 * * [simplify]: Extracting #3: cost 16 inf + 1
1552126208.392 * * [simplify]: Extracting #4: cost 14 inf + 46
1552126208.393 * * [simplify]: Extracting #5: cost 3 inf + 1098
1552126208.393 * * [simplify]: Extracting #6: cost 0 inf + 1856
1552126208.393 * [simplify]: Simplified to (/ (pow (* PI n) (fma -1/2 k 1/2)) (sqrt k))
1552126208.393 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (/ (pow (* PI n) (fma -1/2 k 1/2)) (sqrt k))))
1552126208.393 * * * * [progress]: [ 88 / 134 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow 1 (fma -1/2 k 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)) (cbrt (sqrt k)))))>
1552126208.394 * [simplify]: Simplifying (/ (pow 1 (fma -1/2 k 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1552126208.394 * * [simplify]: iters left: 6 (10 enodes)
1552126208.400 * * [simplify]: iters left: 5 (34 enodes)
1552126208.411 * * [simplify]: iters left: 4 (44 enodes)
1552126208.425 * * [simplify]: iters left: 3 (47 enodes)
1552126208.439 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126208.439 * * [simplify]: Extracting #1: cost 7 inf + 0
1552126208.440 * * [simplify]: Extracting #2: cost 11 inf + 1
1552126208.440 * * [simplify]: Extracting #3: cost 13 inf + 1
1552126208.440 * * [simplify]: Extracting #4: cost 8 inf + 326
1552126208.440 * * [simplify]: Extracting #5: cost 1 inf + 1538
1552126208.441 * * [simplify]: Extracting #6: cost 0 inf + 1700
1552126208.441 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1552126208.441 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)) (cbrt (sqrt k)))))
1552126208.441 * [simplify]: Simplifying (/ (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)) (cbrt (sqrt k)))
1552126208.442 * * [simplify]: iters left: 6 (15 enodes)
1552126208.449 * * [simplify]: iters left: 5 (52 enodes)
1552126208.464 * * [simplify]: iters left: 4 (73 enodes)
1552126208.487 * * [simplify]: iters left: 3 (104 enodes)
1552126208.517 * * [simplify]: iters left: 2 (134 enodes)
1552126208.548 * * [simplify]: iters left: 1 (159 enodes)
1552126208.570 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126208.570 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126208.570 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126208.570 * * [simplify]: Extracting #3: cost 37 inf + 0
1552126208.571 * * [simplify]: Extracting #4: cost 36 inf + 584
1552126208.571 * * [simplify]: Extracting #5: cost 10 inf + 1994
1552126208.572 * * [simplify]: Extracting #6: cost 1 inf + 3497
1552126208.573 * * [simplify]: Extracting #7: cost 0 inf + 4007
1552126208.574 * [simplify]: Simplified to (/ (pow (* n (/ PI 1/2)) (fma k -1/2 1/2)) (cbrt (sqrt k)))
1552126208.574 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (/ PI 1/2)) (fma k -1/2 1/2)) (cbrt (sqrt k)))))
1552126208.574 * * * * [progress]: [ 89 / 134 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow 1 (fma -1/2 k 1/2)) (sqrt (sqrt k))) (/ (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)) (sqrt (sqrt k)))))>
1552126208.574 * [simplify]: Simplifying (/ (pow 1 (fma -1/2 k 1/2)) (sqrt (sqrt k)))
1552126208.574 * * [simplify]: iters left: 4 (9 enodes)
1552126208.577 * * [simplify]: iters left: 3 (29 enodes)
1552126208.582 * * [simplify]: iters left: 2 (35 enodes)
1552126208.588 * * [simplify]: iters left: 1 (36 enodes)
1552126208.598 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126208.598 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126208.598 * * [simplify]: Extracting #2: cost 5 inf + 1
1552126208.598 * * [simplify]: Extracting #3: cost 7 inf + 1
1552126208.598 * * [simplify]: Extracting #4: cost 4 inf + 124
1552126208.598 * * [simplify]: Extracting #5: cost 0 inf + 490
1552126208.598 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k)))
1552126208.598 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)) (sqrt (sqrt k)))))
1552126208.599 * [simplify]: Simplifying (/ (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)) (sqrt (sqrt k)))
1552126208.599 * * [simplify]: iters left: 6 (15 enodes)
1552126208.606 * * [simplify]: iters left: 5 (52 enodes)
1552126208.618 * * [simplify]: iters left: 4 (73 enodes)
1552126208.633 * * [simplify]: iters left: 3 (104 enodes)
1552126208.653 * * [simplify]: iters left: 2 (134 enodes)
1552126208.682 * * [simplify]: iters left: 1 (159 enodes)
1552126208.705 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126208.705 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126208.705 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126208.705 * * [simplify]: Extracting #3: cost 37 inf + 0
1552126208.705 * * [simplify]: Extracting #4: cost 36 inf + 504
1552126208.706 * * [simplify]: Extracting #5: cost 10 inf + 1914
1552126208.707 * * [simplify]: Extracting #6: cost 1 inf + 3377
1552126208.709 * * [simplify]: Extracting #7: cost 0 inf + 3847
1552126208.711 * [simplify]: Simplified to (/ (pow (* n (/ PI 1/2)) (fma k -1/2 1/2)) (sqrt (sqrt k)))
1552126208.711 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (/ PI 1/2)) (fma k -1/2 1/2)) (sqrt (sqrt k)))))
1552126208.711 * * * * [progress]: [ 90 / 134 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow 1 (fma -1/2 k 1/2)) 1) (/ (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)) (sqrt k))))>
1552126208.711 * [simplify]: Simplifying (/ (pow 1 (fma -1/2 k 1/2)) 1)
1552126208.712 * * [simplify]: iters left: 4 (7 enodes)
1552126208.718 * * [simplify]: iters left: 3 (21 enodes)
1552126208.726 * * [simplify]: iters left: 2 (27 enodes)
1552126208.734 * * [simplify]: iters left: 1 (28 enodes)
1552126208.738 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126208.738 * * [simplify]: Extracting #1: cost 0 inf + 1
1552126208.738 * [simplify]: Simplified to 1
1552126208.738 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)) (sqrt k))))
1552126208.738 * [simplify]: Simplifying (/ (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)) (sqrt k))
1552126208.738 * * [simplify]: iters left: 6 (14 enodes)
1552126208.742 * * [simplify]: iters left: 5 (49 enodes)
1552126208.751 * * [simplify]: iters left: 4 (70 enodes)
1552126208.763 * * [simplify]: iters left: 3 (101 enodes)
1552126208.789 * * [simplify]: iters left: 2 (131 enodes)
1552126208.826 * * [simplify]: iters left: 1 (155 enodes)
1552126208.873 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126208.873 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126208.873 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126208.873 * * [simplify]: Extracting #3: cost 32 inf + 83
1552126208.873 * * [simplify]: Extracting #4: cost 38 inf + 216
1552126208.874 * * [simplify]: Extracting #5: cost 14 inf + 1420
1552126208.876 * * [simplify]: Extracting #6: cost 0 inf + 3605
1552126208.878 * [simplify]: Simplified to (/ (pow (/ n (/ 1/2 PI)) (fma k -1/2 1/2)) (sqrt k))
1552126208.878 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (/ n (/ 1/2 PI)) (fma k -1/2 1/2)) (sqrt k))))
1552126208.878 * * * * [progress]: [ 91 / 134 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* -2 PI) (fma -1/2 k 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (/ 1 (/ -1 n)) (fma -1/2 k 1/2)) (cbrt (sqrt k)))))>
1552126208.878 * [simplify]: Simplifying (/ (pow (* -2 PI) (fma -1/2 k 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1552126208.878 * * [simplify]: iters left: 6 (12 enodes)
1552126208.886 * * [simplify]: iters left: 5 (41 enodes)
1552126208.898 * * [simplify]: iters left: 4 (47 enodes)
1552126208.913 * * [simplify]: iters left: 3 (48 enodes)
1552126208.927 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126208.927 * * [simplify]: Extracting #1: cost 6 inf + 0
1552126208.927 * * [simplify]: Extracting #2: cost 13 inf + 0
1552126208.928 * * [simplify]: Extracting #3: cost 22 inf + 0
1552126208.928 * * [simplify]: Extracting #4: cost 18 inf + 5
1552126208.928 * * [simplify]: Extracting #5: cost 7 inf + 1191
1552126208.929 * * [simplify]: Extracting #6: cost 3 inf + 2374
1552126208.929 * * [simplify]: Extracting #7: cost 0 inf + 3515
1552126208.930 * [simplify]: Simplified to (/ (/ (pow (* -2 PI) (fma -1/2 k 1/2)) (cbrt (sqrt k))) (cbrt (sqrt k)))
1552126208.930 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow (* -2 PI) (fma -1/2 k 1/2)) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow (/ 1 (/ -1 n)) (fma -1/2 k 1/2)) (cbrt (sqrt k)))))
1552126208.931 * [simplify]: Simplifying (/ (pow (/ 1 (/ -1 n)) (fma -1/2 k 1/2)) (cbrt (sqrt k)))
1552126208.931 * * [simplify]: iters left: 6 (13 enodes)
1552126208.938 * * [simplify]: iters left: 5 (45 enodes)
1552126208.947 * * [simplify]: iters left: 4 (52 enodes)
1552126208.955 * * [simplify]: iters left: 3 (53 enodes)
1552126208.962 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126208.962 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126208.962 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126208.962 * * [simplify]: Extracting #3: cost 20 inf + 0
1552126208.962 * * [simplify]: Extracting #4: cost 10 inf + 334
1552126208.962 * * [simplify]: Extracting #5: cost 0 inf + 2252
1552126208.963 * [simplify]: Simplified to (/ (pow (- n) (fma -1/2 k 1/2)) (cbrt (sqrt k)))
1552126208.963 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* -2 PI) (fma -1/2 k 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (- n) (fma -1/2 k 1/2)) (cbrt (sqrt k)))))
1552126208.963 * * * * [progress]: [ 92 / 134 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* -2 PI) (fma -1/2 k 1/2)) (sqrt (sqrt k))) (/ (pow (/ 1 (/ -1 n)) (fma -1/2 k 1/2)) (sqrt (sqrt k)))))>
1552126208.963 * [simplify]: Simplifying (/ (pow (* -2 PI) (fma -1/2 k 1/2)) (sqrt (sqrt k)))
1552126208.963 * * [simplify]: iters left: 5 (11 enodes)
1552126208.966 * * [simplify]: iters left: 4 (36 enodes)
1552126208.980 * * [simplify]: iters left: 3 (40 enodes)
1552126208.992 * * [simplify]: iters left: 2 (41 enodes)
1552126209.003 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126209.003 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126209.003 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126209.003 * * [simplify]: Extracting #3: cost 18 inf + 0
1552126209.003 * * [simplify]: Extracting #4: cost 10 inf + 210
1552126209.004 * * [simplify]: Extracting #5: cost 3 inf + 843
1552126209.004 * * [simplify]: Extracting #6: cost 0 inf + 2013
1552126209.005 * [simplify]: Simplified to (/ (pow (* -2 PI) (fma -1/2 k 1/2)) (sqrt (sqrt k)))
1552126209.005 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* -2 PI) (fma -1/2 k 1/2)) (sqrt (sqrt k))) (/ (pow (/ 1 (/ -1 n)) (fma -1/2 k 1/2)) (sqrt (sqrt k)))))
1552126209.005 * [simplify]: Simplifying (/ (pow (/ 1 (/ -1 n)) (fma -1/2 k 1/2)) (sqrt (sqrt k)))
1552126209.006 * * [simplify]: iters left: 6 (13 enodes)
1552126209.014 * * [simplify]: iters left: 5 (45 enodes)
1552126209.029 * * [simplify]: iters left: 4 (52 enodes)
1552126209.044 * * [simplify]: iters left: 3 (53 enodes)
1552126209.060 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126209.060 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126209.060 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126209.060 * * [simplify]: Extracting #3: cost 20 inf + 0
1552126209.060 * * [simplify]: Extracting #4: cost 10 inf + 294
1552126209.061 * * [simplify]: Extracting #5: cost 0 inf + 2092
1552126209.061 * [simplify]: Simplified to (/ (pow (- n) (fma -1/2 k 1/2)) (sqrt (sqrt k)))
1552126209.061 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* -2 PI) (fma -1/2 k 1/2)) (sqrt (sqrt k))) (/ (pow (- n) (fma -1/2 k 1/2)) (sqrt (sqrt k)))))
1552126209.061 * * * * [progress]: [ 93 / 134 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* -2 PI) (fma -1/2 k 1/2)) 1) (/ (pow (/ 1 (/ -1 n)) (fma -1/2 k 1/2)) (sqrt k))))>
1552126209.062 * [simplify]: Simplifying (/ (pow (* -2 PI) (fma -1/2 k 1/2)) 1)
1552126209.062 * * [simplify]: iters left: 5 (10 enodes)
1552126209.068 * * [simplify]: iters left: 4 (33 enodes)
1552126209.078 * * [simplify]: iters left: 3 (39 enodes)
1552126209.088 * * [simplify]: iters left: 2 (40 enodes)
1552126209.094 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126209.094 * * [simplify]: Extracting #1: cost 5 inf + 0
1552126209.094 * * [simplify]: Extracting #2: cost 12 inf + 1
1552126209.094 * * [simplify]: Extracting #3: cost 8 inf + 6
1552126209.094 * * [simplify]: Extracting #4: cost 0 inf + 910
1552126209.095 * [simplify]: Simplified to (pow (* -2 PI) (fma -1/2 k 1/2))
1552126209.095 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* -2 PI) (fma -1/2 k 1/2)) (/ (pow (/ 1 (/ -1 n)) (fma -1/2 k 1/2)) (sqrt k))))
1552126209.095 * [simplify]: Simplifying (/ (pow (/ 1 (/ -1 n)) (fma -1/2 k 1/2)) (sqrt k))
1552126209.095 * * [simplify]: iters left: 6 (12 enodes)
1552126209.098 * * [simplify]: iters left: 5 (42 enodes)
1552126209.105 * * [simplify]: iters left: 4 (49 enodes)
1552126209.116 * * [simplify]: iters left: 3 (50 enodes)
1552126209.123 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126209.123 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126209.123 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126209.123 * * [simplify]: Extracting #3: cost 17 inf + 1
1552126209.123 * * [simplify]: Extracting #4: cost 12 inf + 89
1552126209.123 * * [simplify]: Extracting #5: cost 3 inf + 1094
1552126209.124 * * [simplify]: Extracting #6: cost 0 inf + 1850
1552126209.124 * [simplify]: Simplified to (/ (pow (- n) (fma -1/2 k 1/2)) (sqrt k))
1552126209.124 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (* -2 PI) (fma -1/2 k 1/2)) (/ (pow (- n) (fma -1/2 k 1/2)) (sqrt k))))
1552126209.124 * * * * [progress]: [ 94 / 134 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (/ (* -2 PI) -1) (fma -1/2 k 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow n (fma -1/2 k 1/2)) (cbrt (sqrt k)))))>
1552126209.124 * [simplify]: Simplifying (/ (pow (/ (* -2 PI) -1) (fma -1/2 k 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1552126209.124 * * [simplify]: iters left: 6 (14 enodes)
1552126209.128 * * [simplify]: iters left: 5 (49 enodes)
1552126209.143 * * [simplify]: iters left: 4 (62 enodes)
1552126209.152 * * [simplify]: iters left: 3 (65 enodes)
1552126209.161 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126209.161 * * [simplify]: Extracting #1: cost 6 inf + 0
1552126209.161 * * [simplify]: Extracting #2: cost 13 inf + 0
1552126209.161 * * [simplify]: Extracting #3: cost 26 inf + 0
1552126209.161 * * [simplify]: Extracting #4: cost 17 inf + 492
1552126209.161 * * [simplify]: Extracting #5: cost 7 inf + 1781
1552126209.162 * * [simplify]: Extracting #6: cost 1 inf + 3210
1552126209.162 * * [simplify]: Extracting #7: cost 0 inf + 3679
1552126209.163 * [simplify]: Simplified to (/ (pow (/ PI 1/2) (fma -1/2 k 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1552126209.163 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (/ PI 1/2) (fma -1/2 k 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow n (fma -1/2 k 1/2)) (cbrt (sqrt k)))))
1552126209.163 * [simplify]: Simplifying (/ (pow n (fma -1/2 k 1/2)) (cbrt (sqrt k)))
1552126209.163 * * [simplify]: iters left: 4 (9 enodes)
1552126209.165 * * [simplify]: iters left: 3 (29 enodes)
1552126209.171 * * [simplify]: iters left: 2 (33 enodes)
1552126209.181 * * [simplify]: iters left: 1 (34 enodes)
1552126209.190 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126209.190 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126209.190 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126209.190 * * [simplify]: Extracting #3: cost 14 inf + 1
1552126209.190 * * [simplify]: Extracting #4: cost 9 inf + 208
1552126209.191 * * [simplify]: Extracting #5: cost 4 inf + 739
1552126209.191 * * [simplify]: Extracting #6: cost 0 inf + 1924
1552126209.192 * [simplify]: Simplified to (/ (pow n (fma k -1/2 1/2)) (cbrt (sqrt k)))
1552126209.192 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (/ PI 1/2) (fma -1/2 k 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow n (fma k -1/2 1/2)) (cbrt (sqrt k)))))
1552126209.192 * * * * [progress]: [ 95 / 134 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (/ (* -2 PI) -1) (fma -1/2 k 1/2)) (sqrt (sqrt k))) (/ (pow n (fma -1/2 k 1/2)) (sqrt (sqrt k)))))>
1552126209.192 * [simplify]: Simplifying (/ (pow (/ (* -2 PI) -1) (fma -1/2 k 1/2)) (sqrt (sqrt k)))
1552126209.192 * * [simplify]: iters left: 6 (13 enodes)
1552126209.200 * * [simplify]: iters left: 5 (44 enodes)
1552126209.216 * * [simplify]: iters left: 4 (55 enodes)
1552126209.233 * * [simplify]: iters left: 3 (58 enodes)
1552126209.242 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126209.242 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126209.242 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126209.242 * * [simplify]: Extracting #3: cost 22 inf + 0
1552126209.242 * * [simplify]: Extracting #4: cost 14 inf + 213
1552126209.243 * * [simplify]: Extracting #5: cost 5 inf + 912
1552126209.243 * * [simplify]: Extracting #6: cost 1 inf + 1750
1552126209.243 * * [simplify]: Extracting #7: cost 0 inf + 2179
1552126209.244 * [simplify]: Simplified to (/ (pow (/ PI 1/2) (fma -1/2 k 1/2)) (sqrt (sqrt k)))
1552126209.244 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (/ PI 1/2) (fma -1/2 k 1/2)) (sqrt (sqrt k))) (/ (pow n (fma -1/2 k 1/2)) (sqrt (sqrt k)))))
1552126209.244 * [simplify]: Simplifying (/ (pow n (fma -1/2 k 1/2)) (sqrt (sqrt k)))
1552126209.244 * * [simplify]: iters left: 4 (9 enodes)
1552126209.246 * * [simplify]: iters left: 3 (29 enodes)
1552126209.251 * * [simplify]: iters left: 2 (33 enodes)
1552126209.256 * * [simplify]: iters left: 1 (34 enodes)
1552126209.260 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126209.261 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126209.261 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126209.261 * * [simplify]: Extracting #3: cost 14 inf + 1
1552126209.261 * * [simplify]: Extracting #4: cost 9 inf + 168
1552126209.261 * * [simplify]: Extracting #5: cost 4 inf + 659
1552126209.261 * * [simplify]: Extracting #6: cost 0 inf + 1764
1552126209.261 * [simplify]: Simplified to (/ (pow n (fma k -1/2 1/2)) (sqrt (sqrt k)))
1552126209.261 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (/ PI 1/2) (fma -1/2 k 1/2)) (sqrt (sqrt k))) (/ (pow n (fma k -1/2 1/2)) (sqrt (sqrt k)))))
1552126209.261 * * * * [progress]: [ 96 / 134 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (/ (* -2 PI) -1) (fma -1/2 k 1/2)) 1) (/ (pow n (fma -1/2 k 1/2)) (sqrt k))))>
1552126209.262 * [simplify]: Simplifying (/ (pow (/ (* -2 PI) -1) (fma -1/2 k 1/2)) 1)
1552126209.262 * * [simplify]: iters left: 6 (12 enodes)
1552126209.266 * * [simplify]: iters left: 5 (41 enodes)
1552126209.274 * * [simplify]: iters left: 4 (54 enodes)
1552126209.282 * * [simplify]: iters left: 3 (57 enodes)
1552126209.290 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126209.290 * * [simplify]: Extracting #1: cost 5 inf + 0
1552126209.290 * * [simplify]: Extracting #2: cost 16 inf + 1
1552126209.290 * * [simplify]: Extracting #3: cost 12 inf + 8
1552126209.290 * * [simplify]: Extracting #4: cost 2 inf + 712
1552126209.291 * * [simplify]: Extracting #5: cost 0 inf + 1080
1552126209.291 * [simplify]: Simplified to (pow (* 2 PI) (fma -1/2 k 1/2))
1552126209.291 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (/ (pow n (fma -1/2 k 1/2)) (sqrt k))))
1552126209.291 * [simplify]: Simplifying (/ (pow n (fma -1/2 k 1/2)) (sqrt k))
1552126209.291 * * [simplify]: iters left: 4 (8 enodes)
1552126209.293 * * [simplify]: iters left: 3 (26 enodes)
1552126209.297 * * [simplify]: iters left: 2 (30 enodes)
1552126209.302 * * [simplify]: iters left: 1 (31 enodes)
1552126209.311 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126209.311 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126209.311 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126209.311 * * [simplify]: Extracting #3: cost 10 inf + 43
1552126209.311 * * [simplify]: Extracting #4: cost 8 inf + 86
1552126209.311 * * [simplify]: Extracting #5: cost 2 inf + 904
1552126209.312 * * [simplify]: Extracting #6: cost 0 inf + 1522
1552126209.312 * [simplify]: Simplified to (/ (pow n (fma k -1/2 1/2)) (sqrt k))
1552126209.312 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (/ (pow n (fma k -1/2 1/2)) (sqrt k))))
1552126209.312 * * * * [progress]: [ 97 / 134 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))) (cbrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))) (cbrt (sqrt k)))))>
1552126209.313 * [simplify]: Simplifying (/ (* (cbrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))) (cbrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1552126209.313 * * [simplify]: iters left: 6 (18 enodes)
1552126209.325 * * [simplify]: iters left: 5 (67 enodes)
1552126209.347 * * [simplify]: iters left: 4 (103 enodes)
1552126209.379 * * [simplify]: iters left: 3 (141 enodes)
1552126209.420 * * [simplify]: iters left: 2 (174 enodes)
1552126209.470 * * [simplify]: iters left: 1 (198 enodes)
1552126209.495 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126209.496 * * [simplify]: Extracting #1: cost 11 inf + 0
1552126209.496 * * [simplify]: Extracting #2: cost 22 inf + 0
1552126209.496 * * [simplify]: Extracting #3: cost 27 inf + 0
1552126209.496 * * [simplify]: Extracting #4: cost 52 inf + 1
1552126209.496 * * [simplify]: Extracting #5: cost 55 inf + 457
1552126209.497 * * [simplify]: Extracting #6: cost 26 inf + 2134
1552126209.498 * * [simplify]: Extracting #7: cost 6 inf + 8809
1552126209.500 * * [simplify]: Extracting #8: cost 0 inf + 12509
1552126209.502 * [simplify]: Simplified to (* (/ (cbrt (pow (* (/ PI 1/2) n) (fma k -1/2 1/2))) (cbrt (sqrt k))) (/ (cbrt (pow (* (/ PI 1/2) n) (fma k -1/2 1/2))) (cbrt (sqrt k))))
1552126209.502 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (/ PI 1/2) n) (fma k -1/2 1/2))) (cbrt (sqrt k))) (/ (cbrt (pow (* (/ PI 1/2) n) (fma k -1/2 1/2))) (cbrt (sqrt k)))) (/ (cbrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))) (cbrt (sqrt k)))))
1552126209.502 * [simplify]: Simplifying (/ (cbrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))) (cbrt (sqrt k)))
1552126209.502 * * [simplify]: iters left: 6 (16 enodes)
1552126209.511 * * [simplify]: iters left: 5 (55 enodes)
1552126209.528 * * [simplify]: iters left: 4 (76 enodes)
1552126209.542 * * [simplify]: iters left: 3 (107 enodes)
1552126209.559 * * [simplify]: iters left: 2 (137 enodes)
1552126209.592 * * [simplify]: iters left: 1 (162 enodes)
1552126209.615 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126209.615 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126209.615 * * [simplify]: Extracting #2: cost 8 inf + 0
1552126209.615 * * [simplify]: Extracting #3: cost 13 inf + 0
1552126209.615 * * [simplify]: Extracting #4: cost 37 inf + 42
1552126209.615 * * [simplify]: Extracting #5: cost 38 inf + 583
1552126209.616 * * [simplify]: Extracting #6: cost 12 inf + 1953
1552126209.617 * * [simplify]: Extracting #7: cost 0 inf + 5033
1552126209.618 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI n) 2) (fma k -1/2 1/2))) (cbrt (sqrt k)))
1552126209.618 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))) (cbrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* (* PI n) 2) (fma k -1/2 1/2))) (cbrt (sqrt k)))))
1552126209.618 * * * * [progress]: [ 98 / 134 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))) (cbrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)))) (sqrt (sqrt k))) (/ (cbrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))) (sqrt (sqrt k)))))>
1552126209.618 * [simplify]: Simplifying (/ (* (cbrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))) (cbrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)))) (sqrt (sqrt k)))
1552126209.618 * * [simplify]: iters left: 6 (17 enodes)
1552126209.623 * * [simplify]: iters left: 5 (60 enodes)
1552126209.640 * * [simplify]: iters left: 4 (85 enodes)
1552126209.663 * * [simplify]: iters left: 3 (119 enodes)
1552126209.680 * * [simplify]: iters left: 2 (149 enodes)
1552126209.718 * * [simplify]: iters left: 1 (173 enodes)
1552126209.765 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126209.765 * * [simplify]: Extracting #1: cost 7 inf + 0
1552126209.765 * * [simplify]: Extracting #2: cost 14 inf + 0
1552126209.765 * * [simplify]: Extracting #3: cost 19 inf + 0
1552126209.766 * * [simplify]: Extracting #4: cost 41 inf + 164
1552126209.766 * * [simplify]: Extracting #5: cost 45 inf + 420
1552126209.767 * * [simplify]: Extracting #6: cost 18 inf + 1873
1552126209.769 * * [simplify]: Extracting #7: cost 5 inf + 5304
1552126209.771 * * [simplify]: Extracting #8: cost 0 inf + 8099
1552126209.774 * [simplify]: Simplified to (/ (* (cbrt (pow (* 2 (* PI n)) (fma k -1/2 1/2))) (cbrt (pow (* 2 (* PI n)) (fma k -1/2 1/2)))) (sqrt (sqrt k)))
1552126209.774 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* 2 (* PI n)) (fma k -1/2 1/2))) (cbrt (pow (* 2 (* PI n)) (fma k -1/2 1/2)))) (sqrt (sqrt k))) (/ (cbrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))) (sqrt (sqrt k)))))
1552126209.774 * [simplify]: Simplifying (/ (cbrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))) (sqrt (sqrt k)))
1552126209.780 * * [simplify]: iters left: 6 (16 enodes)
1552126209.789 * * [simplify]: iters left: 5 (55 enodes)
1552126209.807 * * [simplify]: iters left: 4 (76 enodes)
1552126209.830 * * [simplify]: iters left: 3 (107 enodes)
1552126209.856 * * [simplify]: iters left: 2 (137 enodes)
1552126209.876 * * [simplify]: iters left: 1 (162 enodes)
1552126209.908 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126209.908 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126209.908 * * [simplify]: Extracting #2: cost 8 inf + 0
1552126209.908 * * [simplify]: Extracting #3: cost 13 inf + 0
1552126209.909 * * [simplify]: Extracting #4: cost 37 inf + 42
1552126209.909 * * [simplify]: Extracting #5: cost 38 inf + 503
1552126209.910 * * [simplify]: Extracting #6: cost 12 inf + 1873
1552126209.912 * * [simplify]: Extracting #7: cost 0 inf + 4873
1552126209.914 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI n) 2) (fma k -1/2 1/2))) (sqrt (sqrt k)))
1552126209.914 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))) (cbrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)))) (sqrt (sqrt k))) (/ (cbrt (pow (* (* PI n) 2) (fma k -1/2 1/2))) (sqrt (sqrt k)))))
1552126209.914 * * * * [progress]: [ 99 / 134 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))) (cbrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)))) 1) (/ (cbrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))) (sqrt k))))>
1552126209.915 * [simplify]: Simplifying (/ (* (cbrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))) (cbrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)))) 1)
1552126209.915 * * [simplify]: iters left: 6 (16 enodes)
1552126209.924 * * [simplify]: iters left: 5 (57 enodes)
1552126209.946 * * [simplify]: iters left: 4 (88 enodes)
1552126209.974 * * [simplify]: iters left: 3 (120 enodes)
1552126210.007 * * [simplify]: iters left: 2 (150 enodes)
1552126210.051 * * [simplify]: iters left: 1 (174 enodes)
1552126210.075 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126210.075 * * [simplify]: Extracting #1: cost 5 inf + 0
1552126210.075 * * [simplify]: Extracting #2: cost 7 inf + 1
1552126210.075 * * [simplify]: Extracting #3: cost 10 inf + 1
1552126210.076 * * [simplify]: Extracting #4: cost 37 inf + 1
1552126210.076 * * [simplify]: Extracting #5: cost 40 inf + 219
1552126210.076 * * [simplify]: Extracting #6: cost 11 inf + 1797
1552126210.077 * * [simplify]: Extracting #7: cost 2 inf + 4471
1552126210.078 * * [simplify]: Extracting #8: cost 0 inf + 5414
1552126210.079 * [simplify]: Simplified to (* (cbrt (pow (* n (* 2 PI)) (fma k -1/2 1/2))) (cbrt (pow (* n (* 2 PI)) (fma k -1/2 1/2))))
1552126210.079 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* n (* 2 PI)) (fma k -1/2 1/2))) (cbrt (pow (* n (* 2 PI)) (fma k -1/2 1/2)))) (/ (cbrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))) (sqrt k))))
1552126210.080 * [simplify]: Simplifying (/ (cbrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))) (sqrt k))
1552126210.080 * * [simplify]: iters left: 6 (15 enodes)
1552126210.084 * * [simplify]: iters left: 5 (52 enodes)
1552126210.095 * * [simplify]: iters left: 4 (73 enodes)
1552126210.110 * * [simplify]: iters left: 3 (104 enodes)
1552126210.137 * * [simplify]: iters left: 2 (134 enodes)
1552126210.174 * * [simplify]: iters left: 1 (159 enodes)
1552126210.209 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126210.210 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126210.210 * * [simplify]: Extracting #2: cost 8 inf + 0
1552126210.210 * * [simplify]: Extracting #3: cost 9 inf + 42
1552126210.210 * * [simplify]: Extracting #4: cost 34 inf + 83
1552126210.210 * * [simplify]: Extracting #5: cost 36 inf + 425
1552126210.211 * * [simplify]: Extracting #6: cost 11 inf + 1794
1552126210.212 * * [simplify]: Extracting #7: cost 1 inf + 4115
1552126210.213 * * [simplify]: Extracting #8: cost 0 inf + 4625
1552126210.214 * [simplify]: Simplified to (/ (cbrt (pow (* n (/ PI 1/2)) (fma k -1/2 1/2))) (sqrt k))
1552126210.214 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))) (cbrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)))) 1) (/ (cbrt (pow (* n (/ PI 1/2)) (fma k -1/2 1/2))) (sqrt k))))
1552126210.214 * * * * [progress]: [ 100 / 134 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))) (cbrt (sqrt k)))))>
1552126210.214 * [simplify]: Simplifying (/ (sqrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1552126210.214 * * [simplify]: iters left: 6 (17 enodes)
1552126210.221 * * [simplify]: iters left: 5 (60 enodes)
1552126210.240 * * [simplify]: iters left: 4 (83 enodes)
1552126210.257 * * [simplify]: iters left: 3 (114 enodes)
1552126210.273 * * [simplify]: iters left: 2 (144 enodes)
1552126210.298 * * [simplify]: iters left: 1 (169 enodes)
1552126210.329 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126210.330 * * [simplify]: Extracting #1: cost 6 inf + 0
1552126210.330 * * [simplify]: Extracting #2: cost 12 inf + 0
1552126210.330 * * [simplify]: Extracting #3: cost 17 inf + 0
1552126210.330 * * [simplify]: Extracting #4: cost 41 inf + 42
1552126210.330 * * [simplify]: Extracting #5: cost 40 inf + 905
1552126210.331 * * [simplify]: Extracting #6: cost 15 inf + 2151
1552126210.333 * * [simplify]: Extracting #7: cost 6 inf + 3311
1552126210.334 * * [simplify]: Extracting #8: cost 4 inf + 4293
1552126210.336 * * [simplify]: Extracting #9: cost 0 inf + 6377
1552126210.338 * [simplify]: Simplified to (/ (sqrt (pow (* PI (* 2 n)) (fma k -1/2 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1552126210.338 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* PI (* 2 n)) (fma k -1/2 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))) (cbrt (sqrt k)))))
1552126210.339 * [simplify]: Simplifying (/ (sqrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))) (cbrt (sqrt k)))
1552126210.339 * * [simplify]: iters left: 6 (16 enodes)
1552126210.352 * * [simplify]: iters left: 5 (55 enodes)
1552126210.370 * * [simplify]: iters left: 4 (76 enodes)
1552126210.395 * * [simplify]: iters left: 3 (107 enodes)
1552126210.421 * * [simplify]: iters left: 2 (137 enodes)
1552126210.441 * * [simplify]: iters left: 1 (162 enodes)
1552126210.476 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126210.476 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126210.476 * * [simplify]: Extracting #2: cost 8 inf + 0
1552126210.476 * * [simplify]: Extracting #3: cost 13 inf + 0
1552126210.476 * * [simplify]: Extracting #4: cost 37 inf + 42
1552126210.476 * * [simplify]: Extracting #5: cost 38 inf + 583
1552126210.478 * * [simplify]: Extracting #6: cost 12 inf + 1953
1552126210.480 * * [simplify]: Extracting #7: cost 0 inf + 4873
1552126210.482 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI n) 2) (fma k -1/2 1/2))) (cbrt (sqrt k)))
1552126210.482 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* (* PI n) 2) (fma k -1/2 1/2))) (cbrt (sqrt k)))))
1552126210.482 * * * * [progress]: [ 101 / 134 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))) (sqrt (sqrt k))) (/ (sqrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))) (sqrt (sqrt k)))))>
1552126210.482 * [simplify]: Simplifying (/ (sqrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))) (sqrt (sqrt k)))
1552126210.483 * * [simplify]: iters left: 6 (16 enodes)
1552126210.491 * * [simplify]: iters left: 5 (55 enodes)
1552126210.509 * * [simplify]: iters left: 4 (76 enodes)
1552126210.524 * * [simplify]: iters left: 3 (107 enodes)
1552126210.541 * * [simplify]: iters left: 2 (137 enodes)
1552126210.560 * * [simplify]: iters left: 1 (162 enodes)
1552126210.593 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126210.593 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126210.593 * * [simplify]: Extracting #2: cost 8 inf + 0
1552126210.593 * * [simplify]: Extracting #3: cost 13 inf + 0
1552126210.594 * * [simplify]: Extracting #4: cost 37 inf + 42
1552126210.594 * * [simplify]: Extracting #5: cost 38 inf + 503
1552126210.595 * * [simplify]: Extracting #6: cost 12 inf + 1873
1552126210.597 * * [simplify]: Extracting #7: cost 0 inf + 4713
1552126210.599 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI n) 2) (fma k -1/2 1/2))) (sqrt (sqrt k)))
1552126210.599 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI n) 2) (fma k -1/2 1/2))) (sqrt (sqrt k))) (/ (sqrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))) (sqrt (sqrt k)))))
1552126210.599 * [simplify]: Simplifying (/ (sqrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))) (sqrt (sqrt k)))
1552126210.600 * * [simplify]: iters left: 6 (16 enodes)
1552126210.608 * * [simplify]: iters left: 5 (55 enodes)
1552126210.627 * * [simplify]: iters left: 4 (76 enodes)
1552126210.649 * * [simplify]: iters left: 3 (107 enodes)
1552126210.667 * * [simplify]: iters left: 2 (137 enodes)
1552126210.704 * * [simplify]: iters left: 1 (162 enodes)
1552126210.727 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126210.727 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126210.727 * * [simplify]: Extracting #2: cost 8 inf + 0
1552126210.727 * * [simplify]: Extracting #3: cost 13 inf + 0
1552126210.727 * * [simplify]: Extracting #4: cost 37 inf + 42
1552126210.727 * * [simplify]: Extracting #5: cost 38 inf + 503
1552126210.728 * * [simplify]: Extracting #6: cost 12 inf + 1873
1552126210.729 * * [simplify]: Extracting #7: cost 0 inf + 4713
1552126210.730 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI n) 2) (fma k -1/2 1/2))) (sqrt (sqrt k)))
1552126210.730 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* PI n) 2) (fma k -1/2 1/2))) (sqrt (sqrt k)))))
1552126210.730 * * * * [progress]: [ 102 / 134 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))) 1) (/ (sqrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))) (sqrt k))))>
1552126210.730 * [simplify]: Simplifying (/ (sqrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))) 1)
1552126210.730 * * [simplify]: iters left: 6 (15 enodes)
1552126210.735 * * [simplify]: iters left: 5 (52 enodes)
1552126210.744 * * [simplify]: iters left: 4 (75 enodes)
1552126210.768 * * [simplify]: iters left: 3 (106 enodes)
1552126210.789 * * [simplify]: iters left: 2 (136 enodes)
1552126210.810 * * [simplify]: iters left: 1 (161 enodes)
1552126210.856 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126210.857 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126210.857 * * [simplify]: Extracting #2: cost 6 inf + 1
1552126210.857 * * [simplify]: Extracting #3: cost 33 inf + 1
1552126210.857 * * [simplify]: Extracting #4: cost 34 inf + 344
1552126210.858 * * [simplify]: Extracting #5: cost 7 inf + 1756
1552126210.860 * * [simplify]: Extracting #6: cost 1 inf + 3057
1552126210.862 * * [simplify]: Extracting #7: cost 0 inf + 3448
1552126210.864 * [simplify]: Simplified to (sqrt (pow (* (* 2 n) PI) (fma k -1/2 1/2)))
1552126210.864 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* 2 n) PI) (fma k -1/2 1/2))) (/ (sqrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))) (sqrt k))))
1552126210.864 * [simplify]: Simplifying (/ (sqrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))) (sqrt k))
1552126210.864 * * [simplify]: iters left: 6 (15 enodes)
1552126210.873 * * [simplify]: iters left: 5 (52 enodes)
1552126210.892 * * [simplify]: iters left: 4 (73 enodes)
1552126210.919 * * [simplify]: iters left: 3 (104 enodes)
1552126210.950 * * [simplify]: iters left: 2 (134 enodes)
1552126210.969 * * [simplify]: iters left: 1 (159 enodes)
1552126210.995 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126210.995 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126210.995 * * [simplify]: Extracting #2: cost 8 inf + 0
1552126210.995 * * [simplify]: Extracting #3: cost 9 inf + 42
1552126210.995 * * [simplify]: Extracting #4: cost 34 inf + 83
1552126210.995 * * [simplify]: Extracting #5: cost 36 inf + 425
1552126210.996 * * [simplify]: Extracting #6: cost 11 inf + 1794
1552126210.997 * * [simplify]: Extracting #7: cost 1 inf + 3995
1552126210.998 * * [simplify]: Extracting #8: cost 0 inf + 4465
1552126210.999 * [simplify]: Simplified to (/ (sqrt (pow (* n (/ PI 1/2)) (fma k -1/2 1/2))) (sqrt k))
1552126210.999 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))) 1) (/ (sqrt (pow (* n (/ PI 1/2)) (fma k -1/2 1/2))) (sqrt k))))
1552126210.999 * * * * [progress]: [ 103 / 134 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)) (cbrt (sqrt k)))))>
1552126210.999 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1552126210.999 * * [simplify]: iters left: 6 (6 enodes)
1552126211.001 * * [simplify]: iters left: 5 (22 enodes)
1552126211.008 * * [simplify]: iters left: 4 (26 enodes)
1552126211.012 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126211.012 * * [simplify]: Extracting #1: cost 6 inf + 0
1552126211.012 * * [simplify]: Extracting #2: cost 9 inf + 1
1552126211.012 * * [simplify]: Extracting #3: cost 11 inf + 1
1552126211.012 * * [simplify]: Extracting #4: cost 8 inf + 84
1552126211.012 * * [simplify]: Extracting #5: cost 2 inf + 1013
1552126211.012 * * [simplify]: Extracting #6: cost 0 inf + 1376
1552126211.012 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1552126211.012 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)) (cbrt (sqrt k)))))
1552126211.013 * [simplify]: Simplifying (/ (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)) (cbrt (sqrt k)))
1552126211.013 * * [simplify]: iters left: 6 (15 enodes)
1552126211.017 * * [simplify]: iters left: 5 (52 enodes)
1552126211.026 * * [simplify]: iters left: 4 (73 enodes)
1552126211.048 * * [simplify]: iters left: 3 (104 enodes)
1552126211.064 * * [simplify]: iters left: 2 (134 enodes)
1552126211.090 * * [simplify]: iters left: 1 (159 enodes)
1552126211.136 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126211.136 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126211.136 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126211.137 * * [simplify]: Extracting #3: cost 37 inf + 0
1552126211.137 * * [simplify]: Extracting #4: cost 36 inf + 584
1552126211.138 * * [simplify]: Extracting #5: cost 10 inf + 1994
1552126211.140 * * [simplify]: Extracting #6: cost 1 inf + 3497
1552126211.142 * * [simplify]: Extracting #7: cost 0 inf + 4007
1552126211.143 * [simplify]: Simplified to (/ (pow (* n (/ PI 1/2)) (fma k -1/2 1/2)) (cbrt (sqrt k)))
1552126211.144 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (/ PI 1/2)) (fma k -1/2 1/2)) (cbrt (sqrt k)))))
1552126211.144 * * * * [progress]: [ 104 / 134 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)) (sqrt (sqrt k)))))>
1552126211.144 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k)))
1552126211.144 * * [simplify]: iters left: 4 (5 enodes)
1552126211.147 * * [simplify]: iters left: 3 (17 enodes)
1552126211.152 * * [simplify]: iters left: 2 (19 enodes)
1552126211.158 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126211.158 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126211.158 * * [simplify]: Extracting #2: cost 5 inf + 1
1552126211.158 * * [simplify]: Extracting #3: cost 7 inf + 1
1552126211.158 * * [simplify]: Extracting #4: cost 0 inf + 490
1552126211.159 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k)))
1552126211.159 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)) (sqrt (sqrt k)))))
1552126211.159 * [simplify]: Simplifying (/ (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)) (sqrt (sqrt k)))
1552126211.159 * * [simplify]: iters left: 6 (15 enodes)
1552126211.168 * * [simplify]: iters left: 5 (52 enodes)
1552126211.187 * * [simplify]: iters left: 4 (73 enodes)
1552126211.211 * * [simplify]: iters left: 3 (104 enodes)
1552126211.241 * * [simplify]: iters left: 2 (134 enodes)
1552126211.282 * * [simplify]: iters left: 1 (159 enodes)
1552126211.325 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126211.326 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126211.326 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126211.326 * * [simplify]: Extracting #3: cost 37 inf + 0
1552126211.326 * * [simplify]: Extracting #4: cost 36 inf + 504
1552126211.327 * * [simplify]: Extracting #5: cost 10 inf + 1914
1552126211.329 * * [simplify]: Extracting #6: cost 1 inf + 3377
1552126211.331 * * [simplify]: Extracting #7: cost 0 inf + 3847
1552126211.332 * [simplify]: Simplified to (/ (pow (* n (/ PI 1/2)) (fma k -1/2 1/2)) (sqrt (sqrt k)))
1552126211.333 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (/ PI 1/2)) (fma k -1/2 1/2)) (sqrt (sqrt k)))))
1552126211.333 * * * * [progress]: [ 105 / 134 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (/ (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)) (sqrt k))))>
1552126211.333 * [simplify]: Simplifying (/ 1 1)
1552126211.333 * * [simplify]: iters left: 2 (2 enodes)
1552126211.335 * * [simplify]: iters left: 1 (6 enodes)
1552126211.337 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126211.337 * * [simplify]: Extracting #1: cost 0 inf + 1
1552126211.337 * [simplify]: Simplified to 1
1552126211.337 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)) (sqrt k))))
1552126211.337 * [simplify]: Simplifying (/ (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)) (sqrt k))
1552126211.338 * * [simplify]: iters left: 6 (14 enodes)
1552126211.346 * * [simplify]: iters left: 5 (49 enodes)
1552126211.363 * * [simplify]: iters left: 4 (70 enodes)
1552126211.385 * * [simplify]: iters left: 3 (101 enodes)
1552126211.416 * * [simplify]: iters left: 2 (131 enodes)
1552126211.437 * * [simplify]: iters left: 1 (155 enodes)
1552126211.465 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126211.465 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126211.466 * * [simplify]: Extracting #2: cost 9 inf + 0
1552126211.466 * * [simplify]: Extracting #3: cost 32 inf + 83
1552126211.466 * * [simplify]: Extracting #4: cost 38 inf + 216
1552126211.466 * * [simplify]: Extracting #5: cost 14 inf + 1420
1552126211.467 * * [simplify]: Extracting #6: cost 0 inf + 3605
1552126211.468 * [simplify]: Simplified to (/ (pow (/ n (/ 1/2 PI)) (fma k -1/2 1/2)) (sqrt k))
1552126211.468 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (/ n (/ 1/2 PI)) (fma k -1/2 1/2)) (sqrt k))))
1552126211.468 * * * * [progress]: [ 106 / 134 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)) (sqrt k))))>
1552126211.468 * * * * [progress]: [ 107 / 134 ] simplifiying candidate #<alt (λ (k n) (* (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)) (/ 1 (sqrt k))))>
1552126211.468 * * * * [progress]: [ 108 / 134 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)))))>
1552126211.468 * * * * [progress]: [ 109 / 134 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))>
1552126211.468 * [simplify]: Simplifying (cbrt (sqrt k))
1552126211.468 * * [simplify]: iters left: 2 (3 enodes)
1552126211.469 * * [simplify]: iters left: 1 (9 enodes)
1552126211.470 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126211.470 * * [simplify]: Extracting #1: cost 3 inf + 0
1552126211.470 * * [simplify]: Extracting #2: cost 5 inf + 0
1552126211.470 * * [simplify]: Extracting #3: cost 4 inf + 1
1552126211.470 * * [simplify]: Extracting #4: cost 0 inf + 325
1552126211.470 * [simplify]: Simplified to (cbrt (sqrt k))
1552126211.470 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))
1552126211.471 * * * * [progress]: [ 110 / 134 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)) (sqrt (sqrt k))) (sqrt (sqrt k))))>
1552126211.471 * [simplify]: Simplifying (sqrt (sqrt k))
1552126211.471 * * [simplify]: iters left: 2 (3 enodes)
1552126211.471 * * [simplify]: iters left: 1 (9 enodes)
1552126211.473 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126211.473 * * [simplify]: Extracting #1: cost 3 inf + 0
1552126211.473 * * [simplify]: Extracting #2: cost 5 inf + 0
1552126211.473 * * [simplify]: Extracting #3: cost 4 inf + 1
1552126211.473 * * [simplify]: Extracting #4: cost 0 inf + 245
1552126211.473 * [simplify]: Simplified to (sqrt (sqrt k))
1552126211.473 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)) (sqrt (sqrt k))) (sqrt (sqrt k))))
1552126211.473 * * * * [progress]: [ 111 / 134 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)) 1) (sqrt k)))>
1552126211.473 * [simplify]: Simplifying (sqrt k)
1552126211.473 * * [simplify]: iters left: 1 (2 enodes)
1552126211.474 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126211.474 * * [simplify]: Extracting #1: cost 3 inf + 0
1552126211.474 * * [simplify]: Extracting #2: cost 2 inf + 1
1552126211.474 * * [simplify]: Extracting #3: cost 0 inf + 83
1552126211.474 * [simplify]: Simplified to (sqrt k)
1552126211.474 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)) 1) (sqrt k)))
1552126211.474 * * * * [progress]: [ 112 / 134 ] simplifiying candidate #<alt (λ (k n) (/ (pow (/ (* -2 PI) (/ -1 n)) (* -1/2 k)) (/ (sqrt k) (pow (/ (* -2 PI) (/ -1 n)) 1/2))))>
1552126211.474 * [simplify]: Simplifying (pow (/ (* -2 PI) (/ -1 n)) (* -1/2 k))
1552126211.474 * * [simplify]: iters left: 5 (11 enodes)
1552126211.478 * * [simplify]: iters left: 4 (39 enodes)
1552126211.484 * * [simplify]: iters left: 3 (57 enodes)
1552126211.494 * * [simplify]: iters left: 2 (89 enodes)
1552126211.524 * * [simplify]: iters left: 1 (119 enodes)
1552126211.543 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126211.544 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126211.544 * * [simplify]: Extracting #2: cost 33 inf + 0
1552126211.544 * * [simplify]: Extracting #3: cost 30 inf + 427
1552126211.544 * * [simplify]: Extracting #4: cost 3 inf + 1971
1552126211.545 * * [simplify]: Extracting #5: cost 0 inf + 2683
1552126211.546 * [simplify]: Simplified to (pow (* n (* 2 PI)) (* -1/2 k))
1552126211.546 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (* -1/2 k)) (/ (sqrt k) (pow (/ (* -2 PI) (/ -1 n)) 1/2))))
1552126211.546 * * * * [progress]: [ 113 / 134 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (cbrt (/ (* -2 PI) (/ -1 n))) (cbrt (/ (* -2 PI) (/ -1 n)))) (fma -1/2 k 1/2)) (/ (sqrt k) (pow (cbrt (/ (* -2 PI) (/ -1 n))) (fma -1/2 k 1/2)))))>
1552126211.546 * [simplify]: Simplifying (pow (* (cbrt (/ (* -2 PI) (/ -1 n))) (cbrt (/ (* -2 PI) (/ -1 n)))) (fma -1/2 k 1/2))
1552126211.546 * * [simplify]: iters left: 6 (14 enodes)
1552126211.550 * * [simplify]: iters left: 5 (49 enodes)
1552126211.559 * * [simplify]: iters left: 4 (70 enodes)
1552126211.575 * * [simplify]: iters left: 3 (101 enodes)
1552126211.601 * * [simplify]: iters left: 2 (131 enodes)
1552126211.626 * * [simplify]: iters left: 1 (155 enodes)
1552126211.659 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126211.659 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126211.659 * * [simplify]: Extracting #2: cost 11 inf + 0
1552126211.659 * * [simplify]: Extracting #3: cost 9 inf + 103
1552126211.660 * * [simplify]: Extracting #4: cost 29 inf + 203
1552126211.660 * * [simplify]: Extracting #5: cost 34 inf + 459
1552126211.660 * * [simplify]: Extracting #6: cost 12 inf + 1829
1552126211.661 * * [simplify]: Extracting #7: cost 0 inf + 3635
1552126211.662 * [simplify]: Simplified to (pow (* (cbrt (/ n (/ 1/2 PI))) (cbrt (/ n (/ 1/2 PI)))) (fma -1/2 k 1/2))
1552126211.662 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (* (cbrt (/ n (/ 1/2 PI))) (cbrt (/ n (/ 1/2 PI)))) (fma -1/2 k 1/2)) (/ (sqrt k) (pow (cbrt (/ (* -2 PI) (/ -1 n))) (fma -1/2 k 1/2)))))
1552126211.662 * * * * [progress]: [ 114 / 134 ] simplifiying candidate #<alt (λ (k n) (/ (pow (sqrt (/ (* -2 PI) (/ -1 n))) (fma -1/2 k 1/2)) (/ (sqrt k) (pow (sqrt (/ (* -2 PI) (/ -1 n))) (fma -1/2 k 1/2)))))>
1552126211.662 * [simplify]: Simplifying (pow (sqrt (/ (* -2 PI) (/ -1 n))) (fma -1/2 k 1/2))
1552126211.662 * * [simplify]: iters left: 6 (13 enodes)
1552126211.666 * * [simplify]: iters left: 5 (46 enodes)
1552126211.674 * * [simplify]: iters left: 4 (67 enodes)
1552126211.685 * * [simplify]: iters left: 3 (98 enodes)
1552126211.713 * * [simplify]: iters left: 2 (128 enodes)
1552126211.743 * * [simplify]: iters left: 1 (153 enodes)
1552126211.765 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126211.765 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126211.765 * * [simplify]: Extracting #2: cost 11 inf + 0
1552126211.765 * * [simplify]: Extracting #3: cost 30 inf + 61
1552126211.766 * * [simplify]: Extracting #4: cost 33 inf + 376
1552126211.766 * * [simplify]: Extracting #5: cost 6 inf + 1960
1552126211.767 * * [simplify]: Extracting #6: cost 0 inf + 2989
1552126211.768 * [simplify]: Simplified to (pow (sqrt (/ PI (/ 1/2 n))) (fma k -1/2 1/2))
1552126211.768 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (sqrt (/ PI (/ 1/2 n))) (fma k -1/2 1/2)) (/ (sqrt k) (pow (sqrt (/ (* -2 PI) (/ -1 n))) (fma -1/2 k 1/2)))))
1552126211.768 * * * * [progress]: [ 115 / 134 ] simplifiying candidate #<alt (λ (k n) (/ (pow (/ -2 (* (cbrt (/ -1 n)) (cbrt (/ -1 n)))) (fma -1/2 k 1/2)) (/ (sqrt k) (pow (/ PI (cbrt (/ -1 n))) (fma -1/2 k 1/2)))))>
1552126211.768 * [simplify]: Simplifying (pow (/ -2 (* (cbrt (/ -1 n)) (cbrt (/ -1 n)))) (fma -1/2 k 1/2))
1552126211.768 * * [simplify]: iters left: 6 (12 enodes)
1552126211.774 * * [simplify]: iters left: 5 (40 enodes)
1552126211.787 * * [simplify]: iters left: 4 (46 enodes)
1552126211.801 * * [simplify]: iters left: 3 (47 enodes)
1552126211.816 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126211.816 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126211.816 * * [simplify]: Extracting #2: cost 14 inf + 0
1552126211.816 * * [simplify]: Extracting #3: cost 15 inf + 4
1552126211.819 * * [simplify]: Extracting #4: cost 16 inf + 104
1552126211.819 * * [simplify]: Extracting #5: cost 10 inf + 290
1552126211.819 * * [simplify]: Extracting #6: cost 4 inf + 1184
1552126211.819 * * [simplify]: Extracting #7: cost 1 inf + 2061
1552126211.820 * * [simplify]: Extracting #8: cost 0 inf + 2532
1552126211.820 * [simplify]: Simplified to (pow (/ (/ -2 (cbrt (/ -1 n))) (cbrt (/ -1 n))) (fma k -1/2 1/2))
1552126211.820 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (/ (/ -2 (cbrt (/ -1 n))) (cbrt (/ -1 n))) (fma k -1/2 1/2)) (/ (sqrt k) (pow (/ PI (cbrt (/ -1 n))) (fma -1/2 k 1/2)))))
1552126211.820 * * * * [progress]: [ 116 / 134 ] simplifiying candidate #<alt (λ (k n) (/ (pow (/ -2 (sqrt (/ -1 n))) (fma -1/2 k 1/2)) (/ (sqrt k) (pow (/ PI (sqrt (/ -1 n))) (fma -1/2 k 1/2)))))>
1552126211.820 * [simplify]: Simplifying (pow (/ -2 (sqrt (/ -1 n))) (fma -1/2 k 1/2))
1552126211.821 * * [simplify]: iters left: 6 (11 enodes)
1552126211.824 * * [simplify]: iters left: 5 (35 enodes)
1552126211.830 * * [simplify]: iters left: 4 (39 enodes)
1552126211.836 * * [simplify]: iters left: 3 (40 enodes)
1552126211.843 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126211.843 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126211.843 * * [simplify]: Extracting #2: cost 12 inf + 0
1552126211.843 * * [simplify]: Extracting #3: cost 8 inf + 162
1552126211.843 * * [simplify]: Extracting #4: cost 10 inf + 204
1552126211.843 * * [simplify]: Extracting #5: cost 7 inf + 248
1552126211.843 * * [simplify]: Extracting #6: cost 4 inf + 495
1552126211.844 * * [simplify]: Extracting #7: cost 0 inf + 1482
1552126211.844 * [simplify]: Simplified to (pow (/ -2 (sqrt (/ -1 n))) (fma -1/2 k 1/2))
1552126211.844 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (/ -2 (sqrt (/ -1 n))) (fma -1/2 k 1/2)) (/ (sqrt k) (pow (/ PI (sqrt (/ -1 n))) (fma -1/2 k 1/2)))))
1552126211.844 * * * * [progress]: [ 117 / 134 ] simplifiying candidate #<alt (λ (k n) (/ (pow (/ -2 1) (fma -1/2 k 1/2)) (/ (sqrt k) (pow (/ PI (/ -1 n)) (fma -1/2 k 1/2)))))>
1552126211.844 * [simplify]: Simplifying (pow (/ -2 1) (fma -1/2 k 1/2))
1552126211.844 * * [simplify]: iters left: 3 (8 enodes)
1552126211.848 * * [simplify]: iters left: 2 (26 enodes)
1552126211.856 * * [simplify]: iters left: 1 (32 enodes)
1552126211.865 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126211.865 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126211.865 * * [simplify]: Extracting #2: cost 8 inf + 1
1552126211.865 * * [simplify]: Extracting #3: cost 5 inf + 62
1552126211.865 * * [simplify]: Extracting #4: cost 1 inf + 473
1552126211.866 * * [simplify]: Extracting #5: cost 0 inf + 742
1552126211.866 * [simplify]: Simplified to (pow -2 (fma -1/2 k 1/2))
1552126211.866 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow -2 (fma -1/2 k 1/2)) (/ (sqrt k) (pow (/ PI (/ -1 n)) (fma -1/2 k 1/2)))))
1552126211.866 * * * * [progress]: [ 118 / 134 ] simplifiying candidate #<alt (λ (k n) (/ (pow (/ -2 -1) (fma -1/2 k 1/2)) (/ (sqrt k) (pow (/ PI (/ 1 n)) (fma -1/2 k 1/2)))))>
1552126211.866 * [simplify]: Simplifying (pow (/ -2 -1) (fma -1/2 k 1/2))
1552126211.866 * * [simplify]: iters left: 3 (8 enodes)
1552126211.872 * * [simplify]: iters left: 2 (27 enodes)
1552126211.880 * * [simplify]: iters left: 1 (31 enodes)
1552126211.889 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126211.889 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126211.889 * * [simplify]: Extracting #2: cost 8 inf + 1
1552126211.889 * * [simplify]: Extracting #3: cost 5 inf + 62
1552126211.889 * * [simplify]: Extracting #4: cost 1 inf + 473
1552126211.889 * * [simplify]: Extracting #5: cost 0 inf + 742
1552126211.889 * [simplify]: Simplified to (pow 2 (fma -1/2 k 1/2))
1552126211.889 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow 2 (fma -1/2 k 1/2)) (/ (sqrt k) (pow (/ PI (/ 1 n)) (fma -1/2 k 1/2)))))
1552126211.890 * * * * [progress]: [ 119 / 134 ] simplifiying candidate #<alt (λ (k n) (/ (pow 1 (fma -1/2 k 1/2)) (/ (sqrt k) (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)))))>
1552126211.890 * [simplify]: Simplifying (pow 1 (fma -1/2 k 1/2))
1552126211.890 * * [simplify]: iters left: 2 (6 enodes)
1552126211.893 * * [simplify]: iters left: 1 (20 enodes)
1552126211.899 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126211.899 * * [simplify]: Extracting #1: cost 0 inf + 1
1552126211.899 * [simplify]: Simplified to 1
1552126211.899 * [simplify]: Simplified (2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)))))
1552126211.899 * * * * [progress]: [ 120 / 134 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* -2 PI) (fma -1/2 k 1/2)) (/ (sqrt k) (pow (/ 1 (/ -1 n)) (fma -1/2 k 1/2)))))>
1552126211.900 * [simplify]: Simplifying (pow (* -2 PI) (fma -1/2 k 1/2))
1552126211.900 * * [simplify]: iters left: 3 (8 enodes)
1552126211.903 * * [simplify]: iters left: 2 (27 enodes)
1552126211.907 * * [simplify]: iters left: 1 (31 enodes)
1552126211.912 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126211.912 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126211.912 * * [simplify]: Extracting #2: cost 12 inf + 0
1552126211.912 * * [simplify]: Extracting #3: cost 7 inf + 63
1552126211.912 * * [simplify]: Extracting #4: cost 1 inf + 599
1552126211.913 * * [simplify]: Extracting #5: cost 0 inf + 909
1552126211.913 * [simplify]: Simplified to (pow (* -2 PI) (fma -1/2 k 1/2))
1552126211.913 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (* -2 PI) (fma -1/2 k 1/2)) (/ (sqrt k) (pow (/ 1 (/ -1 n)) (fma -1/2 k 1/2)))))
1552126211.913 * * * * [progress]: [ 121 / 134 ] simplifiying candidate #<alt (λ (k n) (/ (pow (/ (* -2 PI) -1) (fma -1/2 k 1/2)) (/ (sqrt k) (pow n (fma -1/2 k 1/2)))))>
1552126211.913 * [simplify]: Simplifying (pow (/ (* -2 PI) -1) (fma -1/2 k 1/2))
1552126211.913 * * [simplify]: iters left: 5 (10 enodes)
1552126211.917 * * [simplify]: iters left: 4 (35 enodes)
1552126211.925 * * [simplify]: iters left: 3 (46 enodes)
1552126211.933 * * [simplify]: iters left: 2 (49 enodes)
1552126211.944 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126211.944 * * [simplify]: Extracting #1: cost 4 inf + 0
1552126211.944 * * [simplify]: Extracting #2: cost 16 inf + 0
1552126211.944 * * [simplify]: Extracting #3: cost 12 inf + 7
1552126211.945 * * [simplify]: Extracting #4: cost 2 inf + 995
1552126211.945 * * [simplify]: Extracting #5: cost 0 inf + 1079
1552126211.945 * [simplify]: Simplified to (pow (* 2 PI) (fma -1/2 k 1/2))
1552126211.945 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (* 2 PI) (fma -1/2 k 1/2)) (/ (sqrt k) (pow n (fma -1/2 k 1/2)))))
1552126211.945 * * * * [progress]: [ 122 / 134 ] simplifiying candidate #<alt (λ (k n) (/ (* (cbrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))) (cbrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)))) (/ (sqrt k) (cbrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))))))>
1552126211.945 * [simplify]: Simplifying (* (cbrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))) (cbrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))))
1552126211.945 * * [simplify]: iters left: 6 (14 enodes)
1552126211.949 * * [simplify]: iters left: 5 (49 enodes)
1552126211.958 * * [simplify]: iters left: 4 (70 enodes)
1552126211.969 * * [simplify]: iters left: 3 (101 enodes)
1552126211.996 * * [simplify]: iters left: 2 (131 enodes)
1552126212.014 * * [simplify]: iters left: 1 (155 enodes)
1552126212.052 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126212.052 * * [simplify]: Extracting #1: cost 3 inf + 0
1552126212.052 * * [simplify]: Extracting #2: cost 5 inf + 0
1552126212.052 * * [simplify]: Extracting #3: cost 8 inf + 0
1552126212.052 * * [simplify]: Extracting #4: cost 35 inf + 0
1552126212.052 * * [simplify]: Extracting #5: cost 40 inf + 134
1552126212.052 * * [simplify]: Extracting #6: cost 16 inf + 1338
1552126212.053 * * [simplify]: Extracting #7: cost 0 inf + 4463
1552126212.054 * [simplify]: Simplified to (* (cbrt (pow (/ n (/ 1/2 PI)) (fma k -1/2 1/2))) (cbrt (pow (/ n (/ 1/2 PI)) (fma k -1/2 1/2))))
1552126212.054 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (cbrt (pow (/ n (/ 1/2 PI)) (fma k -1/2 1/2))) (cbrt (pow (/ n (/ 1/2 PI)) (fma k -1/2 1/2)))) (/ (sqrt k) (cbrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))))))
1552126212.054 * * * * [progress]: [ 123 / 134 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))) (/ (sqrt k) (sqrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))))))>
1552126212.055 * [simplify]: Simplifying (sqrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)))
1552126212.055 * * [simplify]: iters left: 6 (13 enodes)
1552126212.058 * * [simplify]: iters left: 5 (46 enodes)
1552126212.067 * * [simplify]: iters left: 4 (67 enodes)
1552126212.079 * * [simplify]: iters left: 3 (98 enodes)
1552126212.106 * * [simplify]: iters left: 2 (128 enodes)
1552126212.144 * * [simplify]: iters left: 1 (153 enodes)
1552126212.176 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126212.176 * * [simplify]: Extracting #1: cost 3 inf + 0
1552126212.176 * * [simplify]: Extracting #2: cost 6 inf + 0
1552126212.176 * * [simplify]: Extracting #3: cost 33 inf + 0
1552126212.176 * * [simplify]: Extracting #4: cost 37 inf + 176
1552126212.177 * * [simplify]: Extracting #5: cost 8 inf + 1795
1552126212.178 * * [simplify]: Extracting #6: cost 1 inf + 3093
1552126212.178 * * [simplify]: Extracting #7: cost 0 inf + 3443
1552126212.179 * [simplify]: Simplified to (sqrt (pow (/ (* PI n) 1/2) (fma k -1/2 1/2)))
1552126212.179 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (pow (/ (* PI n) 1/2) (fma k -1/2 1/2))) (/ (sqrt k) (sqrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))))))
1552126212.179 * * * * [progress]: [ 124 / 134 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)))))>
1552126212.179 * * * * [progress]: [ 125 / 134 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (/ (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)) (sqrt k)))))>
1552126212.179 * * * * [progress]: [ 126 / 134 ] 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)))>
1552126212.180 * [simplify]: Simplifying (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)))))
1552126212.180 * * [simplify]: iters left: 6 (37 enodes)
1552126212.199 * * [simplify]: iters left: 5 (182 enodes)
1552126212.244 * * [simplify]: iters left: 4 (487 enodes)
1552126212.543 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126212.543 * * [simplify]: Extracting #1: cost 74 inf + 0
1552126212.546 * * [simplify]: Extracting #2: cost 339 inf + 3
1552126212.550 * * [simplify]: Extracting #3: cost 496 inf + 559
1552126212.567 * * [simplify]: Extracting #4: cost 330 inf + 53115
1552126212.647 * * [simplify]: Extracting #5: cost 70 inf + 174349
1552126212.720 * * [simplify]: Extracting #6: cost 0 inf + 222643
1552126212.804 * * [simplify]: Extracting #7: cost 0 inf + 219647
1552126212.888 * * [simplify]: Extracting #8: cost 0 inf + 219582
1552126212.958 * [simplify]: Simplified to (fma -1/2 (* (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (+ (log n) (log (* PI 2)))) k) (fma (* 1/4 (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k k) (log n)))) (log (* PI 2)) (fma (* (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) 1/8) (* k k)) (* (log (* PI 2)) (log (* PI 2))) (fma (* (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) 1/8) (* k k)) (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))))
1552126212.958 * [simplify]: Simplified (2 1) to (λ (k n) (/ (fma -1/2 (* (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (+ (log n) (log (* PI 2)))) k) (fma (* 1/4 (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k k) (log n)))) (log (* PI 2)) (fma (* (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) 1/8) (* k k)) (* (log (* PI 2)) (log (* PI 2))) (fma (* (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) 1/8) (* k k)) (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/2)))))) (sqrt k)))
1552126212.958 * * * * [progress]: [ 127 / 134 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (sqrt k)))>
1552126212.958 * [simplify]: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))
1552126212.959 * * [simplify]: iters left: 6 (15 enodes)
1552126212.965 * * [simplify]: iters left: 5 (63 enodes)
1552126212.986 * * [simplify]: iters left: 4 (108 enodes)
1552126213.031 * * [simplify]: iters left: 3 (268 enodes)
1552126213.190 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126213.190 * * [simplify]: Extracting #1: cost 16 inf + 0
1552126213.191 * * [simplify]: Extracting #2: cost 116 inf + 0
1552126213.193 * * [simplify]: Extracting #3: cost 211 inf + 668
1552126213.196 * * [simplify]: Extracting #4: cost 149 inf + 9715
1552126213.208 * * [simplify]: Extracting #5: cost 42 inf + 34460
1552126213.227 * * [simplify]: Extracting #6: cost 0 inf + 46240
1552126213.245 * * [simplify]: Extracting #7: cost 0 inf + 45870
1552126213.263 * [simplify]: Simplified to (pow (* (* 2 PI) n) (fma k -1/2 1/2))
1552126213.263 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (* (* 2 PI) n) (fma k -1/2 1/2)) (sqrt k)))
1552126213.263 * * * * [progress]: [ 128 / 134 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (sqrt k)))>
1552126213.264 * [simplify]: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
1552126213.264 * * [simplify]: iters left: 6 (15 enodes)
1552126213.273 * * [simplify]: iters left: 5 (60 enodes)
1552126213.298 * * [simplify]: iters left: 4 (111 enodes)
1552126213.321 * * [simplify]: iters left: 3 (302 enodes)
1552126213.481 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126213.481 * * [simplify]: Extracting #1: cost 16 inf + 0
1552126213.481 * * [simplify]: Extracting #2: cost 144 inf + 0
1552126213.483 * * [simplify]: Extracting #3: cost 312 inf + 558
1552126213.485 * * [simplify]: Extracting #4: cost 279 inf + 4663
1552126213.492 * * [simplify]: Extracting #5: cost 100 inf + 51858
1552126213.519 * * [simplify]: Extracting #6: cost 2 inf + 80601
1552126213.534 * * [simplify]: Extracting #7: cost 0 inf + 76621
1552126213.549 * * [simplify]: Extracting #8: cost 0 inf + 76306
1552126213.568 * [simplify]: Simplified to (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))
1552126213.568 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)) (sqrt k)))
1552126213.568 * * * * [progress]: [ 129 / 134 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (fma -1/2 k 1/2)) (sqrt k)))>
1552126213.569 * [simplify]: Simplifying (* 2 (* n PI))
1552126213.569 * * [simplify]: iters left: 4 (5 enodes)
1552126213.572 * * [simplify]: iters left: 3 (19 enodes)
1552126213.578 * * [simplify]: iters left: 2 (27 enodes)
1552126213.582 * * [simplify]: iters left: 1 (32 enodes)
1552126213.586 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126213.587 * * [simplify]: Extracting #1: cost 8 inf + 0
1552126213.587 * * [simplify]: Extracting #2: cost 7 inf + 45
1552126213.587 * * [simplify]: Extracting #3: cost 0 inf + 421
1552126213.587 * [simplify]: Simplified to (* (* PI n) 2)
1552126213.587 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (fma -1/2 k 1/2)) (sqrt k)))
1552126213.587 * * * * [progress]: [ 130 / 134 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (fma -1/2 k 1/2)) (sqrt k)))>
1552126213.587 * [simplify]: Simplifying (* 2 (* n PI))
1552126213.587 * * [simplify]: iters left: 4 (5 enodes)
1552126213.589 * * [simplify]: iters left: 3 (19 enodes)
1552126213.592 * * [simplify]: iters left: 2 (27 enodes)
1552126213.595 * * [simplify]: iters left: 1 (32 enodes)
1552126213.599 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126213.599 * * [simplify]: Extracting #1: cost 8 inf + 0
1552126213.599 * * [simplify]: Extracting #2: cost 7 inf + 45
1552126213.599 * * [simplify]: Extracting #3: cost 0 inf + 421
1552126213.600 * [simplify]: Simplified to (* (* PI n) 2)
1552126213.600 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (fma -1/2 k 1/2)) (sqrt k)))
1552126213.600 * * * * [progress]: [ 131 / 134 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (fma -1/2 k 1/2)) (sqrt k)))>
1552126213.600 * [simplify]: Simplifying (* 2 (* n PI))
1552126213.600 * * [simplify]: iters left: 4 (5 enodes)
1552126213.601 * * [simplify]: iters left: 3 (19 enodes)
1552126213.604 * * [simplify]: iters left: 2 (27 enodes)
1552126213.611 * * [simplify]: iters left: 1 (32 enodes)
1552126213.619 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126213.619 * * [simplify]: Extracting #1: cost 8 inf + 0
1552126213.620 * * [simplify]: Extracting #2: cost 7 inf + 45
1552126213.620 * * [simplify]: Extracting #3: cost 0 inf + 421
1552126213.620 * [simplify]: Simplified to (* (* PI n) 2)
1552126213.620 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (fma -1/2 k 1/2)) (sqrt k)))
1552126213.620 * * * * [progress]: [ 132 / 134 ] 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)))))))))))))))))))))))>
1552126213.621 * [simplify]: Simplifying (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))))))))))))))))))))))
1552126213.621 * [simplify]: Simplified (2) to (λ (k n) +nan.0)
1552126213.622 * * * * [progress]: [ 133 / 134 ] 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)))))))))>
1552126213.622 * [simplify]: Simplifying (- (+ (* +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))))))))
1552126213.622 * [simplify]: Simplified (2) to (λ (k n) +nan.0)
1552126213.622 * * * * [progress]: [ 134 / 134 ] 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))))))))))))>
1552126213.623 * [simplify]: Simplifying (- (+ (* +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)))))))))))
1552126213.623 * [simplify]: Simplified (2) to (λ (k n) +nan.0)
1552126213.623 * * * [progress]: adding candidates to table
1552126215.023 * [progress]: [Phase 3 of 3] Extracting.
1552126215.023 * * [regime]: Finding splitpoints for: (#<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))> #<alt (λ (k n) (/ (sqrt (* n (* PI 2))) (* (sqrt k) (pow (* (* n 2) PI) (/ k 2)))))> #<alt (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (/ (pow (* PI n) (fma -1/2 k 1/2)) (sqrt k))))> #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))> #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (/ PI 1/2)) (fma k -1/2 1/2)) (sqrt (sqrt k)))))>)
1552126215.025 * * * [regime-changes]: Trying 2 branch expressions: (n k)
1552126215.025 * * * * [regimes]: Trying to branch on n from (#<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))> #<alt (λ (k n) (/ (sqrt (* n (* PI 2))) (* (sqrt k) (pow (* (* n 2) PI) (/ k 2)))))> #<alt (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (/ (pow (* PI n) (fma -1/2 k 1/2)) (sqrt k))))> #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))> #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (/ PI 1/2)) (fma k -1/2 1/2)) (sqrt (sqrt k)))))>)
1552126215.095 * * * * [regimes]: Trying to branch on k from (#<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))> #<alt (λ (k n) (/ (sqrt (* n (* PI 2))) (* (sqrt k) (pow (* (* n 2) PI) (/ k 2)))))> #<alt (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (/ (pow (* PI n) (fma -1/2 k 1/2)) (sqrt k))))> #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))> #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (/ PI 1/2)) (fma k -1/2 1/2)) (sqrt (sqrt k)))))>)
1552126215.148 * * * [regime]: Found split indices: #<option (#s(si 3 255))>
1552126215.148 * [simplify]: Simplifying (/ 1 (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1552126215.148 * * [simplify]: iters left: 6 (15 enodes)
1552126215.149 * * [simplify]: iters left: 5 (20 enodes)
1552126215.150 * * [simplify]: Extracting #0: cost 1 inf + 0
1552126215.150 * * [simplify]: Extracting #1: cost 3 inf + 0
1552126215.150 * * [simplify]: Extracting #2: cost 4 inf + 1
1552126215.150 * * [simplify]: Extracting #3: cost 6 inf + 1
1552126215.150 * * [simplify]: Extracting #4: cost 6 inf + 43
1552126215.150 * * [simplify]: Extracting #5: cost 10 inf + 43
1552126215.150 * * [simplify]: Extracting #6: cost 10 inf + 45
1552126215.150 * * [simplify]: Extracting #7: cost 5 inf + 214
1552126215.150 * * [simplify]: Extracting #8: cost 3 inf + 672
1552126215.150 * * [simplify]: Extracting #9: cost 1 inf + 1584
1552126215.150 * * [simplify]: Extracting #10: cost 0 inf + 2120
1552126215.151 * [simplify]: Simplified to (/ 1 (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1552126223.367 * [regime-testing]: Baseline error score: 0.3798797952586082
1552126223.369 * [regime-testing]: Oracle error score: 0.04905874697740284
1552126223.373 * [regime-testing]: End program error score: 0.3798797952586082