25.854 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.136 * * * [progress]: [2/2] Setting up program. 0.141 * [progress]: [Phase 2 of 3] Improving. 0.141 * [simplify]: Simplifying: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.142 * * [simplify]: Extracting # 0 : cost 0 0.142 * * [simplify]: Extracting # 1 : cost 0 0.142 * * [simplify]: Extracting # 2 : cost 0 0.142 * * [simplify]: Extracting # 3 : cost 0 0.142 * * [simplify]: Extracting # 4 : cost 0 0.142 * * [simplify]: Extracting # 5 : cost 0 0.142 * * [simplify]: Extracting # 6 : cost 0 0.142 * * [simplify]: Extracting # 7 : cost 0 0.142 * * [simplify]: iteration 0 : 13 enodes (cost 16 ) 0.149 * * [simplify]: Extracting # 0 : cost 0 0.149 * * [simplify]: Extracting # 1 : cost 0 0.149 * * [simplify]: Extracting # 2 : cost 0 0.149 * * [simplify]: Extracting # 3 : cost 0 0.149 * * [simplify]: Extracting # 4 : cost 0 0.149 * * [simplify]: Extracting # 5 : cost 0 0.149 * * [simplify]: iteration 1 : 29 enodes (cost 16 ) 0.162 * * [simplify]: Extracting # 0 : cost 0 0.162 * * [simplify]: Extracting # 1 : cost 0 0.162 * * [simplify]: Extracting # 2 : cost 0 0.162 * * [simplify]: Extracting # 3 : cost 0 0.162 * * [simplify]: Extracting # 4 : cost 0 0.163 * * [simplify]: iteration 2 : 59 enodes (cost 16 ) 0.228 * * [simplify]: Extracting # 0 : cost 0 0.228 * * [simplify]: Extracting # 1 : cost 0 0.228 * * [simplify]: Extracting # 2 : cost 0 0.228 * * [simplify]: Extracting # 3 : cost 0 0.229 * * [simplify]: Extracting # 4 : cost 0 0.229 * * [simplify]: iteration 3 : 119 enodes (cost 16 ) 0.276 * * [simplify]: Extracting # 0 : cost 0 0.276 * * [simplify]: Extracting # 1 : cost 0 0.277 * * [simplify]: Extracting # 2 : cost 0 0.277 * * [simplify]: Extracting # 3 : cost 0 0.277 * * [simplify]: Extracting # 4 : cost 0 0.278 * * [simplify]: iteration 4 : 313 enodes (cost 16 ) 0.528 * * [simplify]: Extracting # 0 : cost 0 0.529 * * [simplify]: Extracting # 1 : cost 0 0.530 * * [simplify]: Extracting # 2 : cost 0 0.531 * * [simplify]: Extracting # 3 : cost 0 0.532 * * [simplify]: Extracting # 4 : cost 0 0.532 * * [simplify]: iteration 5 : 843 enodes (cost 16 ) 2.179 * * [simplify]: Extracting # 0 : cost 0 2.186 * * [simplify]: Extracting # 1 : cost 0 2.191 * * [simplify]: Extracting # 2 : cost 0 2.194 * * [simplify]: Extracting # 3 : cost 0 2.196 * * [simplify]: Extracting # 4 : cost 0 2.199 * * [simplify]: iteration 6 : 3221 enodes (cost 16 ) 3.998 * * [simplify]: Extracting # 0 : cost 0 4.004 * * [simplify]: Extracting # 1 : cost 0 4.013 * * [simplify]: Extracting # 2 : cost 0 4.018 * * [simplify]: Extracting # 3 : cost 0 4.026 * * [simplify]: Extracting # 4 : cost 0 4.036 * * [simplify]: iteration done: 5001 enodes (cost 16 ) 4.036 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 4.036 * * [progress]: iteration 1 / 4 4.037 * * * [progress]: picking best candidate 4.041 * * * * [pick]: Picked # 4.041 * * * [progress]: localizing error 4.073 * * * [progress]: generating rewritten candidates 4.073 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 4.106 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 4.117 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 4.147 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 4.194 * * * [progress]: generating series expansions 4.194 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 4.195 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 4.195 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 4.195 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.195 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.195 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.195 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.195 * [taylor]: Taking taylor expansion of 0.5 in k 4.195 * [backup-simplify]: Simplify 0.5 into 0.5 4.195 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.195 * [taylor]: Taking taylor expansion of 1.0 in k 4.195 * [backup-simplify]: Simplify 1.0 into 1.0 4.195 * [taylor]: Taking taylor expansion of k in k 4.195 * [backup-simplify]: Simplify 0 into 0 4.195 * [backup-simplify]: Simplify 1 into 1 4.195 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.195 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.195 * [taylor]: Taking taylor expansion of 2.0 in k 4.195 * [backup-simplify]: Simplify 2.0 into 2.0 4.195 * [taylor]: Taking taylor expansion of (* n PI) in k 4.195 * [taylor]: Taking taylor expansion of n in k 4.195 * [backup-simplify]: Simplify n into n 4.195 * [taylor]: Taking taylor expansion of PI in k 4.195 * [backup-simplify]: Simplify PI into PI 4.195 * [backup-simplify]: Simplify (* n PI) into (* n PI) 4.195 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 4.196 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 4.196 * [backup-simplify]: Simplify (- 0) into 0 4.196 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.196 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.197 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 4.197 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 4.197 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.197 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.197 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.197 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.197 * [taylor]: Taking taylor expansion of 0.5 in n 4.197 * [backup-simplify]: Simplify 0.5 into 0.5 4.197 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.197 * [taylor]: Taking taylor expansion of 1.0 in n 4.197 * [backup-simplify]: Simplify 1.0 into 1.0 4.197 * [taylor]: Taking taylor expansion of k in n 4.197 * [backup-simplify]: Simplify k into k 4.197 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.197 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.197 * [taylor]: Taking taylor expansion of 2.0 in n 4.197 * [backup-simplify]: Simplify 2.0 into 2.0 4.197 * [taylor]: Taking taylor expansion of (* n PI) in n 4.197 * [taylor]: Taking taylor expansion of n in n 4.197 * [backup-simplify]: Simplify 0 into 0 4.197 * [backup-simplify]: Simplify 1 into 1 4.197 * [taylor]: Taking taylor expansion of PI in n 4.197 * [backup-simplify]: Simplify PI into PI 4.197 * [backup-simplify]: Simplify (* 0 PI) into 0 4.198 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.199 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.200 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.200 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.200 * [backup-simplify]: Simplify (- k) into (- k) 4.200 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 4.200 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 4.201 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.202 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 4.203 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 4.203 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.203 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.203 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.203 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.203 * [taylor]: Taking taylor expansion of 0.5 in n 4.203 * [backup-simplify]: Simplify 0.5 into 0.5 4.203 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.203 * [taylor]: Taking taylor expansion of 1.0 in n 4.203 * [backup-simplify]: Simplify 1.0 into 1.0 4.203 * [taylor]: Taking taylor expansion of k in n 4.203 * [backup-simplify]: Simplify k into k 4.203 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.203 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.203 * [taylor]: Taking taylor expansion of 2.0 in n 4.203 * [backup-simplify]: Simplify 2.0 into 2.0 4.203 * [taylor]: Taking taylor expansion of (* n PI) in n 4.203 * [taylor]: Taking taylor expansion of n in n 4.203 * [backup-simplify]: Simplify 0 into 0 4.203 * [backup-simplify]: Simplify 1 into 1 4.203 * [taylor]: Taking taylor expansion of PI in n 4.203 * [backup-simplify]: Simplify PI into PI 4.203 * [backup-simplify]: Simplify (* 0 PI) into 0 4.204 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.205 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.206 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.206 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.206 * [backup-simplify]: Simplify (- k) into (- k) 4.206 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 4.206 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 4.207 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.208 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 4.209 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 4.209 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 4.209 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 4.209 * [taylor]: Taking taylor expansion of 0.5 in k 4.209 * [backup-simplify]: Simplify 0.5 into 0.5 4.209 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 4.209 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.209 * [taylor]: Taking taylor expansion of 1.0 in k 4.209 * [backup-simplify]: Simplify 1.0 into 1.0 4.209 * [taylor]: Taking taylor expansion of k in k 4.209 * [backup-simplify]: Simplify 0 into 0 4.209 * [backup-simplify]: Simplify 1 into 1 4.209 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 4.209 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.209 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.209 * [taylor]: Taking taylor expansion of 2.0 in k 4.209 * [backup-simplify]: Simplify 2.0 into 2.0 4.209 * [taylor]: Taking taylor expansion of PI in k 4.209 * [backup-simplify]: Simplify PI into PI 4.209 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.210 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.210 * [taylor]: Taking taylor expansion of (log n) in k 4.210 * [taylor]: Taking taylor expansion of n in k 4.210 * [backup-simplify]: Simplify n into n 4.210 * [backup-simplify]: Simplify (log n) into (log n) 4.210 * [backup-simplify]: Simplify (- 0) into 0 4.211 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.211 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 4.212 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 4.213 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 4.213 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 4.214 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 4.215 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 4.216 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 4.217 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 4.217 * [backup-simplify]: Simplify (- 0) into 0 4.217 * [backup-simplify]: Simplify (+ 0 0) into 0 4.218 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 4.218 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.219 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 4.220 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.221 * [taylor]: Taking taylor expansion of 0 in k 4.221 * [backup-simplify]: Simplify 0 into 0 4.221 * [backup-simplify]: Simplify 0 into 0 4.221 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 4.222 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 4.223 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 4.223 * [backup-simplify]: Simplify (+ 0 0) into 0 4.223 * [backup-simplify]: Simplify (- 1) into -1 4.223 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.224 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 4.226 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n))))) into (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 4.228 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 1) 1)))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 4.229 * [backup-simplify]: Simplify (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 4.231 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 4.231 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 4.233 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 4.234 * [backup-simplify]: Simplify (- 0) into 0 4.234 * [backup-simplify]: Simplify (+ 0 0) into 0 4.234 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 4.235 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.236 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 4.238 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.238 * [taylor]: Taking taylor expansion of 0 in k 4.238 * [backup-simplify]: Simplify 0 into 0 4.238 * [backup-simplify]: Simplify 0 into 0 4.238 * [backup-simplify]: Simplify 0 into 0 4.239 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.243 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 4.245 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 4.245 * [backup-simplify]: Simplify (+ 0 0) into 0 4.246 * [backup-simplify]: Simplify (- 0) into 0 4.246 * [backup-simplify]: Simplify (+ 0 0) into 0 4.248 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 4.251 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 4.255 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 4.261 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 4.272 * [backup-simplify]: Simplify (+ (* (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (* k 1)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) 4.273 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 n)) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) 4.273 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 4.273 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.273 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.273 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.273 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.273 * [taylor]: Taking taylor expansion of 0.5 in k 4.273 * [backup-simplify]: Simplify 0.5 into 0.5 4.273 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.273 * [taylor]: Taking taylor expansion of 1.0 in k 4.273 * [backup-simplify]: Simplify 1.0 into 1.0 4.273 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.273 * [taylor]: Taking taylor expansion of k in k 4.273 * [backup-simplify]: Simplify 0 into 0 4.273 * [backup-simplify]: Simplify 1 into 1 4.274 * [backup-simplify]: Simplify (/ 1 1) into 1 4.274 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.274 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.274 * [taylor]: Taking taylor expansion of 2.0 in k 4.274 * [backup-simplify]: Simplify 2.0 into 2.0 4.274 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.274 * [taylor]: Taking taylor expansion of PI in k 4.274 * [backup-simplify]: Simplify PI into PI 4.274 * [taylor]: Taking taylor expansion of n in k 4.274 * [backup-simplify]: Simplify n into n 4.274 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.274 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 4.274 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 4.275 * [backup-simplify]: Simplify (- 1) into -1 4.275 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.275 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 4.276 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 4.276 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 4.276 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.276 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.276 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.276 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.276 * [taylor]: Taking taylor expansion of 0.5 in n 4.276 * [backup-simplify]: Simplify 0.5 into 0.5 4.276 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.276 * [taylor]: Taking taylor expansion of 1.0 in n 4.276 * [backup-simplify]: Simplify 1.0 into 1.0 4.276 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.276 * [taylor]: Taking taylor expansion of k in n 4.276 * [backup-simplify]: Simplify k into k 4.276 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.276 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.276 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.276 * [taylor]: Taking taylor expansion of 2.0 in n 4.276 * [backup-simplify]: Simplify 2.0 into 2.0 4.276 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.277 * [taylor]: Taking taylor expansion of PI in n 4.277 * [backup-simplify]: Simplify PI into PI 4.277 * [taylor]: Taking taylor expansion of n in n 4.277 * [backup-simplify]: Simplify 0 into 0 4.277 * [backup-simplify]: Simplify 1 into 1 4.277 * [backup-simplify]: Simplify (/ PI 1) into PI 4.278 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.279 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.279 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.279 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.279 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 4.280 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.282 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 4.283 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 4.283 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.283 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.283 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.283 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.283 * [taylor]: Taking taylor expansion of 0.5 in n 4.283 * [backup-simplify]: Simplify 0.5 into 0.5 4.283 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.283 * [taylor]: Taking taylor expansion of 1.0 in n 4.283 * [backup-simplify]: Simplify 1.0 into 1.0 4.283 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.283 * [taylor]: Taking taylor expansion of k in n 4.283 * [backup-simplify]: Simplify k into k 4.283 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.283 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.284 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.284 * [taylor]: Taking taylor expansion of 2.0 in n 4.284 * [backup-simplify]: Simplify 2.0 into 2.0 4.284 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.284 * [taylor]: Taking taylor expansion of PI in n 4.284 * [backup-simplify]: Simplify PI into PI 4.284 * [taylor]: Taking taylor expansion of n in n 4.284 * [backup-simplify]: Simplify 0 into 0 4.284 * [backup-simplify]: Simplify 1 into 1 4.284 * [backup-simplify]: Simplify (/ PI 1) into PI 4.285 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.286 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.286 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.286 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.286 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 4.288 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.289 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 4.290 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 4.291 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 4.291 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 4.291 * [taylor]: Taking taylor expansion of 0.5 in k 4.291 * [backup-simplify]: Simplify 0.5 into 0.5 4.291 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 4.291 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 4.291 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.291 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.291 * [taylor]: Taking taylor expansion of 2.0 in k 4.291 * [backup-simplify]: Simplify 2.0 into 2.0 4.291 * [taylor]: Taking taylor expansion of PI in k 4.291 * [backup-simplify]: Simplify PI into PI 4.291 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.292 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.292 * [taylor]: Taking taylor expansion of (log n) in k 4.293 * [taylor]: Taking taylor expansion of n in k 4.293 * [backup-simplify]: Simplify n into n 4.293 * [backup-simplify]: Simplify (log n) into (log n) 4.293 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.293 * [taylor]: Taking taylor expansion of 1.0 in k 4.293 * [backup-simplify]: Simplify 1.0 into 1.0 4.293 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.293 * [taylor]: Taking taylor expansion of k in k 4.293 * [backup-simplify]: Simplify 0 into 0 4.293 * [backup-simplify]: Simplify 1 into 1 4.293 * [backup-simplify]: Simplify (/ 1 1) into 1 4.293 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 4.294 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 4.295 * [backup-simplify]: Simplify (- 1) into -1 4.295 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.296 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 4.298 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 4.299 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 4.306 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 4.307 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.308 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 4.310 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 4.310 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.310 * [backup-simplify]: Simplify (- 0) into 0 4.311 * [backup-simplify]: Simplify (+ 0 0) into 0 4.311 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 4.313 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.314 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 4.316 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.316 * [taylor]: Taking taylor expansion of 0 in k 4.316 * [backup-simplify]: Simplify 0 into 0 4.316 * [backup-simplify]: Simplify 0 into 0 4.316 * [backup-simplify]: Simplify 0 into 0 4.317 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.318 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.322 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 4.322 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.323 * [backup-simplify]: Simplify (- 0) into 0 4.323 * [backup-simplify]: Simplify (+ 0 0) into 0 4.324 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 4.326 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.327 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 4.330 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.330 * [taylor]: Taking taylor expansion of 0 in k 4.330 * [backup-simplify]: Simplify 0 into 0 4.330 * [backup-simplify]: Simplify 0 into 0 4.330 * [backup-simplify]: Simplify 0 into 0 4.330 * [backup-simplify]: Simplify 0 into 0 4.331 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.333 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.338 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0 4.339 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.339 * [backup-simplify]: Simplify (- 0) into 0 4.340 * [backup-simplify]: Simplify (+ 0 0) into 0 4.341 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 4.343 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.345 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 4.348 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.348 * [taylor]: Taking taylor expansion of 0 in k 4.348 * [backup-simplify]: Simplify 0 into 0 4.348 * [backup-simplify]: Simplify 0 into 0 4.349 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) 4.350 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) 4.350 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 4.350 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.350 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.350 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.350 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.350 * [taylor]: Taking taylor expansion of 0.5 in k 4.350 * [backup-simplify]: Simplify 0.5 into 0.5 4.350 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.351 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.351 * [taylor]: Taking taylor expansion of k in k 4.351 * [backup-simplify]: Simplify 0 into 0 4.351 * [backup-simplify]: Simplify 1 into 1 4.351 * [backup-simplify]: Simplify (/ 1 1) into 1 4.351 * [taylor]: Taking taylor expansion of 1.0 in k 4.351 * [backup-simplify]: Simplify 1.0 into 1.0 4.351 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.351 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.351 * [taylor]: Taking taylor expansion of -2.0 in k 4.351 * [backup-simplify]: Simplify -2.0 into -2.0 4.351 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.351 * [taylor]: Taking taylor expansion of PI in k 4.351 * [backup-simplify]: Simplify PI into PI 4.351 * [taylor]: Taking taylor expansion of n in k 4.351 * [backup-simplify]: Simplify n into n 4.351 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.352 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 4.352 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 4.352 * [backup-simplify]: Simplify (+ 1 0) into 1 4.353 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.353 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 4.353 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 4.353 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.353 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.353 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.353 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.353 * [taylor]: Taking taylor expansion of 0.5 in n 4.353 * [backup-simplify]: Simplify 0.5 into 0.5 4.353 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.353 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.353 * [taylor]: Taking taylor expansion of k in n 4.353 * [backup-simplify]: Simplify k into k 4.353 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.353 * [taylor]: Taking taylor expansion of 1.0 in n 4.353 * [backup-simplify]: Simplify 1.0 into 1.0 4.354 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.354 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.354 * [taylor]: Taking taylor expansion of -2.0 in n 4.354 * [backup-simplify]: Simplify -2.0 into -2.0 4.354 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.354 * [taylor]: Taking taylor expansion of PI in n 4.354 * [backup-simplify]: Simplify PI into PI 4.354 * [taylor]: Taking taylor expansion of n in n 4.354 * [backup-simplify]: Simplify 0 into 0 4.354 * [backup-simplify]: Simplify 1 into 1 4.354 * [backup-simplify]: Simplify (/ PI 1) into PI 4.354 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.355 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.355 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.355 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 4.356 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.357 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 4.358 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 4.358 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.358 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.358 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.358 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.358 * [taylor]: Taking taylor expansion of 0.5 in n 4.358 * [backup-simplify]: Simplify 0.5 into 0.5 4.358 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.358 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.358 * [taylor]: Taking taylor expansion of k in n 4.358 * [backup-simplify]: Simplify k into k 4.358 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.358 * [taylor]: Taking taylor expansion of 1.0 in n 4.358 * [backup-simplify]: Simplify 1.0 into 1.0 4.358 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.358 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.358 * [taylor]: Taking taylor expansion of -2.0 in n 4.358 * [backup-simplify]: Simplify -2.0 into -2.0 4.358 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.358 * [taylor]: Taking taylor expansion of PI in n 4.358 * [backup-simplify]: Simplify PI into PI 4.358 * [taylor]: Taking taylor expansion of n in n 4.358 * [backup-simplify]: Simplify 0 into 0 4.358 * [backup-simplify]: Simplify 1 into 1 4.358 * [backup-simplify]: Simplify (/ PI 1) into PI 4.359 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.359 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.359 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.359 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 4.360 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.361 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 4.362 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 4.362 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 4.362 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 4.362 * [taylor]: Taking taylor expansion of 0.5 in k 4.362 * [backup-simplify]: Simplify 0.5 into 0.5 4.362 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 4.362 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.362 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.362 * [taylor]: Taking taylor expansion of k in k 4.362 * [backup-simplify]: Simplify 0 into 0 4.362 * [backup-simplify]: Simplify 1 into 1 4.362 * [backup-simplify]: Simplify (/ 1 1) into 1 4.362 * [taylor]: Taking taylor expansion of 1.0 in k 4.362 * [backup-simplify]: Simplify 1.0 into 1.0 4.362 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 4.362 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 4.363 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 4.363 * [taylor]: Taking taylor expansion of -2.0 in k 4.363 * [backup-simplify]: Simplify -2.0 into -2.0 4.363 * [taylor]: Taking taylor expansion of PI in k 4.363 * [backup-simplify]: Simplify PI into PI 4.363 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.364 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.364 * [taylor]: Taking taylor expansion of (log n) in k 4.364 * [taylor]: Taking taylor expansion of n in k 4.364 * [backup-simplify]: Simplify n into n 4.364 * [backup-simplify]: Simplify (log n) into (log n) 4.364 * [backup-simplify]: Simplify (+ 1 0) into 1 4.364 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 4.365 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 4.365 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 4.366 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 4.367 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 4.368 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 4.368 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.369 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 4.370 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 4.370 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.370 * [backup-simplify]: Simplify (+ 0 0) into 0 4.370 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 4.371 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.372 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 4.373 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.373 * [taylor]: Taking taylor expansion of 0 in k 4.373 * [backup-simplify]: Simplify 0 into 0 4.373 * [backup-simplify]: Simplify 0 into 0 4.373 * [backup-simplify]: Simplify 0 into 0 4.374 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.375 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.376 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0 4.377 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.377 * [backup-simplify]: Simplify (+ 0 0) into 0 4.377 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 4.378 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.379 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 4.381 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.381 * [taylor]: Taking taylor expansion of 0 in k 4.381 * [backup-simplify]: Simplify 0 into 0 4.381 * [backup-simplify]: Simplify 0 into 0 4.381 * [backup-simplify]: Simplify 0 into 0 4.381 * [backup-simplify]: Simplify 0 into 0 4.382 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.383 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.389 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2.0 PI) 1)))) 6) into 0 4.389 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.390 * [backup-simplify]: Simplify (+ 0 0) into 0 4.391 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 4.393 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.395 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 4.398 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.398 * [taylor]: Taking taylor expansion of 0 in k 4.398 * [backup-simplify]: Simplify 0 into 0 4.398 * [backup-simplify]: Simplify 0 into 0 4.399 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))) into (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 4.400 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 4.400 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 4.400 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 4.400 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 4.400 * [taylor]: Taking taylor expansion of 1.0 in k 4.400 * [backup-simplify]: Simplify 1.0 into 1.0 4.400 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.400 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.400 * [taylor]: Taking taylor expansion of k in k 4.400 * [backup-simplify]: Simplify 0 into 0 4.400 * [backup-simplify]: Simplify 1 into 1 4.401 * [backup-simplify]: Simplify (/ 1 1) into 1 4.401 * [backup-simplify]: Simplify (sqrt 0) into 0 4.403 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.403 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 4.403 * [taylor]: Taking taylor expansion of 1.0 in k 4.403 * [backup-simplify]: Simplify 1.0 into 1.0 4.403 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.403 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.403 * [taylor]: Taking taylor expansion of k in k 4.403 * [backup-simplify]: Simplify 0 into 0 4.403 * [backup-simplify]: Simplify 1 into 1 4.403 * [backup-simplify]: Simplify (/ 1 1) into 1 4.404 * [backup-simplify]: Simplify (sqrt 0) into 0 4.405 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.406 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.406 * [backup-simplify]: Simplify 0 into 0 4.407 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 4.408 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.412 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.414 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 4.414 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.419 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.422 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 4.422 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.424 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 4.424 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 4.424 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 4.424 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 4.424 * [taylor]: Taking taylor expansion of 1.0 in k 4.424 * [backup-simplify]: Simplify 1.0 into 1.0 4.424 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.424 * [taylor]: Taking taylor expansion of k in k 4.424 * [backup-simplify]: Simplify 0 into 0 4.424 * [backup-simplify]: Simplify 1 into 1 4.425 * [backup-simplify]: Simplify (sqrt 0) into 0 4.426 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.426 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 4.426 * [taylor]: Taking taylor expansion of 1.0 in k 4.426 * [backup-simplify]: Simplify 1.0 into 1.0 4.426 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.426 * [taylor]: Taking taylor expansion of k in k 4.426 * [backup-simplify]: Simplify 0 into 0 4.426 * [backup-simplify]: Simplify 1 into 1 4.427 * [backup-simplify]: Simplify (sqrt 0) into 0 4.428 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.428 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.428 * [backup-simplify]: Simplify 0 into 0 4.430 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 4.430 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.433 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.436 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 4.436 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.445 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.448 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 4.448 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.450 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 k) 3)) (+ (* (- +nan.0) (pow (/ 1 k) 2)) (* (- +nan.0) (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 4.450 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 4.450 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 4.451 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 4.451 * [taylor]: Taking taylor expansion of 1.0 in k 4.451 * [backup-simplify]: Simplify 1.0 into 1.0 4.451 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.451 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.451 * [taylor]: Taking taylor expansion of -1 in k 4.451 * [backup-simplify]: Simplify -1 into -1 4.451 * [taylor]: Taking taylor expansion of k in k 4.451 * [backup-simplify]: Simplify 0 into 0 4.451 * [backup-simplify]: Simplify 1 into 1 4.452 * [backup-simplify]: Simplify (/ -1 1) into -1 4.452 * [backup-simplify]: Simplify (sqrt 0) into 0 4.453 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.454 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 4.454 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 4.454 * [taylor]: Taking taylor expansion of 1.0 in k 4.454 * [backup-simplify]: Simplify 1.0 into 1.0 4.454 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.454 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.454 * [taylor]: Taking taylor expansion of -1 in k 4.454 * [backup-simplify]: Simplify -1 into -1 4.454 * [taylor]: Taking taylor expansion of k in k 4.454 * [backup-simplify]: Simplify 0 into 0 4.454 * [backup-simplify]: Simplify 1 into 1 4.455 * [backup-simplify]: Simplify (/ -1 1) into -1 4.455 * [backup-simplify]: Simplify (sqrt 0) into 0 4.456 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.457 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 4.457 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.458 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.461 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.464 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 4.464 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.465 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.469 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.473 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 4.474 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.475 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 4.475 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 4.475 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 4.476 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 4.476 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.476 * [taylor]: Taking taylor expansion of 2.0 in n 4.476 * [backup-simplify]: Simplify 2.0 into 2.0 4.476 * [taylor]: Taking taylor expansion of (* n PI) in n 4.476 * [taylor]: Taking taylor expansion of n in n 4.476 * [backup-simplify]: Simplify 0 into 0 4.476 * [backup-simplify]: Simplify 1 into 1 4.476 * [taylor]: Taking taylor expansion of PI in n 4.476 * [backup-simplify]: Simplify PI into PI 4.476 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.476 * [taylor]: Taking taylor expansion of 2.0 in n 4.476 * [backup-simplify]: Simplify 2.0 into 2.0 4.476 * [taylor]: Taking taylor expansion of (* n PI) in n 4.476 * [taylor]: Taking taylor expansion of n in n 4.476 * [backup-simplify]: Simplify 0 into 0 4.476 * [backup-simplify]: Simplify 1 into 1 4.476 * [taylor]: Taking taylor expansion of PI in n 4.476 * [backup-simplify]: Simplify PI into PI 4.477 * [backup-simplify]: Simplify (* 0 PI) into 0 4.477 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.477 * [backup-simplify]: Simplify 0 into 0 4.479 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.480 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.481 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.482 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 4.483 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 4.483 * [backup-simplify]: Simplify 0 into 0 4.484 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 4.485 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 4.485 * [backup-simplify]: Simplify 0 into 0 4.487 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 4.488 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 4.488 * [backup-simplify]: Simplify 0 into 0 4.490 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 4.492 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 4.492 * [backup-simplify]: Simplify 0 into 0 4.494 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 4.495 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 4.496 * [backup-simplify]: Simplify 0 into 0 4.498 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 4.500 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 4.500 * [backup-simplify]: Simplify 0 into 0 4.500 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 4.501 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 4.501 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 4.501 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.501 * [taylor]: Taking taylor expansion of 2.0 in n 4.501 * [backup-simplify]: Simplify 2.0 into 2.0 4.501 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.501 * [taylor]: Taking taylor expansion of PI in n 4.501 * [backup-simplify]: Simplify PI into PI 4.501 * [taylor]: Taking taylor expansion of n in n 4.501 * [backup-simplify]: Simplify 0 into 0 4.501 * [backup-simplify]: Simplify 1 into 1 4.502 * [backup-simplify]: Simplify (/ PI 1) into PI 4.502 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.502 * [taylor]: Taking taylor expansion of 2.0 in n 4.502 * [backup-simplify]: Simplify 2.0 into 2.0 4.502 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.502 * [taylor]: Taking taylor expansion of PI in n 4.502 * [backup-simplify]: Simplify PI into PI 4.502 * [taylor]: Taking taylor expansion of n in n 4.502 * [backup-simplify]: Simplify 0 into 0 4.502 * [backup-simplify]: Simplify 1 into 1 4.502 * [backup-simplify]: Simplify (/ PI 1) into PI 4.503 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.504 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.504 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.505 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 4.505 * [backup-simplify]: Simplify 0 into 0 4.506 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.507 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.507 * [backup-simplify]: Simplify 0 into 0 4.507 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.508 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.508 * [backup-simplify]: Simplify 0 into 0 4.509 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.509 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 4.509 * [backup-simplify]: Simplify 0 into 0 4.510 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.511 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 4.511 * [backup-simplify]: Simplify 0 into 0 4.512 * [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 4.513 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 4.513 * [backup-simplify]: Simplify 0 into 0 4.513 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 4.514 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 4.514 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 4.514 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.514 * [taylor]: Taking taylor expansion of -2.0 in n 4.514 * [backup-simplify]: Simplify -2.0 into -2.0 4.514 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.514 * [taylor]: Taking taylor expansion of PI in n 4.514 * [backup-simplify]: Simplify PI into PI 4.514 * [taylor]: Taking taylor expansion of n in n 4.514 * [backup-simplify]: Simplify 0 into 0 4.514 * [backup-simplify]: Simplify 1 into 1 4.514 * [backup-simplify]: Simplify (/ PI 1) into PI 4.514 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.514 * [taylor]: Taking taylor expansion of -2.0 in n 4.514 * [backup-simplify]: Simplify -2.0 into -2.0 4.514 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.514 * [taylor]: Taking taylor expansion of PI in n 4.514 * [backup-simplify]: Simplify PI into PI 4.514 * [taylor]: Taking taylor expansion of n in n 4.514 * [backup-simplify]: Simplify 0 into 0 4.514 * [backup-simplify]: Simplify 1 into 1 4.515 * [backup-simplify]: Simplify (/ PI 1) into PI 4.515 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.515 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.516 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.516 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 4.516 * [backup-simplify]: Simplify 0 into 0 4.517 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.517 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.517 * [backup-simplify]: Simplify 0 into 0 4.518 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.519 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.519 * [backup-simplify]: Simplify 0 into 0 4.519 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.520 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 4.520 * [backup-simplify]: Simplify 0 into 0 4.521 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.522 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 4.522 * [backup-simplify]: Simplify 0 into 0 4.522 * [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 4.523 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 4.523 * [backup-simplify]: Simplify 0 into 0 4.524 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 4.524 * * * * [progress]: [ 4 / 4 ] generating series at (2) 4.524 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) into (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) 4.524 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in (k n) around 0 4.524 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 4.524 * [taylor]: Taking taylor expansion of 1.0 in n 4.524 * [backup-simplify]: Simplify 1.0 into 1.0 4.524 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 4.524 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.525 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.525 * [taylor]: Taking taylor expansion of k in n 4.525 * [backup-simplify]: Simplify k into k 4.525 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.525 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 4.525 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.525 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 4.525 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.525 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.525 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.525 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.525 * [taylor]: Taking taylor expansion of 0.5 in n 4.525 * [backup-simplify]: Simplify 0.5 into 0.5 4.525 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.525 * [taylor]: Taking taylor expansion of 1.0 in n 4.525 * [backup-simplify]: Simplify 1.0 into 1.0 4.525 * [taylor]: Taking taylor expansion of k in n 4.525 * [backup-simplify]: Simplify k into k 4.525 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.525 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.525 * [taylor]: Taking taylor expansion of 2.0 in n 4.525 * [backup-simplify]: Simplify 2.0 into 2.0 4.525 * [taylor]: Taking taylor expansion of (* n PI) in n 4.525 * [taylor]: Taking taylor expansion of n in n 4.525 * [backup-simplify]: Simplify 0 into 0 4.525 * [backup-simplify]: Simplify 1 into 1 4.525 * [taylor]: Taking taylor expansion of PI in n 4.525 * [backup-simplify]: Simplify PI into PI 4.525 * [backup-simplify]: Simplify (* 0 PI) into 0 4.526 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.527 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.528 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.528 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.528 * [backup-simplify]: Simplify (- k) into (- k) 4.528 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 4.528 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 4.529 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.530 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 4.531 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 4.531 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 4.531 * [taylor]: Taking taylor expansion of 1.0 in k 4.531 * [backup-simplify]: Simplify 1.0 into 1.0 4.531 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 4.531 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.531 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.531 * [taylor]: Taking taylor expansion of k in k 4.531 * [backup-simplify]: Simplify 0 into 0 4.531 * [backup-simplify]: Simplify 1 into 1 4.531 * [backup-simplify]: Simplify (/ 1 1) into 1 4.531 * [backup-simplify]: Simplify (sqrt 0) into 0 4.532 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.532 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.532 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.532 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.532 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.532 * [taylor]: Taking taylor expansion of 0.5 in k 4.532 * [backup-simplify]: Simplify 0.5 into 0.5 4.532 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.532 * [taylor]: Taking taylor expansion of 1.0 in k 4.532 * [backup-simplify]: Simplify 1.0 into 1.0 4.532 * [taylor]: Taking taylor expansion of k in k 4.532 * [backup-simplify]: Simplify 0 into 0 4.532 * [backup-simplify]: Simplify 1 into 1 4.532 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.532 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.533 * [taylor]: Taking taylor expansion of 2.0 in k 4.533 * [backup-simplify]: Simplify 2.0 into 2.0 4.533 * [taylor]: Taking taylor expansion of (* n PI) in k 4.533 * [taylor]: Taking taylor expansion of n in k 4.533 * [backup-simplify]: Simplify n into n 4.533 * [taylor]: Taking taylor expansion of PI in k 4.533 * [backup-simplify]: Simplify PI into PI 4.533 * [backup-simplify]: Simplify (* n PI) into (* n PI) 4.533 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 4.533 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 4.533 * [backup-simplify]: Simplify (- 0) into 0 4.533 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.534 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.534 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 4.534 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 4.534 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 4.534 * [taylor]: Taking taylor expansion of 1.0 in k 4.534 * [backup-simplify]: Simplify 1.0 into 1.0 4.534 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 4.534 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.534 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.534 * [taylor]: Taking taylor expansion of k in k 4.534 * [backup-simplify]: Simplify 0 into 0 4.534 * [backup-simplify]: Simplify 1 into 1 4.534 * [backup-simplify]: Simplify (/ 1 1) into 1 4.535 * [backup-simplify]: Simplify (sqrt 0) into 0 4.536 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.536 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.536 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.536 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.536 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.536 * [taylor]: Taking taylor expansion of 0.5 in k 4.536 * [backup-simplify]: Simplify 0.5 into 0.5 4.536 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.536 * [taylor]: Taking taylor expansion of 1.0 in k 4.536 * [backup-simplify]: Simplify 1.0 into 1.0 4.536 * [taylor]: Taking taylor expansion of k in k 4.536 * [backup-simplify]: Simplify 0 into 0 4.536 * [backup-simplify]: Simplify 1 into 1 4.536 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.536 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.537 * [taylor]: Taking taylor expansion of 2.0 in k 4.537 * [backup-simplify]: Simplify 2.0 into 2.0 4.537 * [taylor]: Taking taylor expansion of (* n PI) in k 4.537 * [taylor]: Taking taylor expansion of n in k 4.537 * [backup-simplify]: Simplify n into n 4.537 * [taylor]: Taking taylor expansion of PI in k 4.537 * [backup-simplify]: Simplify PI into PI 4.537 * [backup-simplify]: Simplify (* n PI) into (* n PI) 4.537 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 4.537 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 4.537 * [backup-simplify]: Simplify (- 0) into 0 4.538 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.538 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.538 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 4.539 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 4.539 * [backup-simplify]: Simplify (* 0 (pow (* 2.0 (* n PI)) 0.5)) into 0 4.539 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.539 * [taylor]: Taking taylor expansion of 0 in n 4.539 * [backup-simplify]: Simplify 0 into 0 4.539 * [backup-simplify]: Simplify 0 into 0 4.540 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 4.540 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (* n PI))) into 0 4.542 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 1) into 0 4.542 * [backup-simplify]: Simplify (- 1) into -1 4.542 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.544 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 4.545 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 (* n PI))))) into (- (* 0.5 (log (* 2.0 (* n PI))))) 4.545 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 1) 1)))) into (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 4.547 * [backup-simplify]: Simplify (+ (* 0 (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (* +nan.0 (pow (* 2.0 (* n PI)) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 4.549 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0)) into (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 4.549 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 4.549 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 4.549 * [taylor]: Taking taylor expansion of +nan.0 in n 4.549 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.549 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.549 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.549 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.549 * [taylor]: Taking taylor expansion of 0.5 in n 4.549 * [backup-simplify]: Simplify 0.5 into 0.5 4.549 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.549 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.549 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.549 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.550 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.550 * [taylor]: Taking taylor expansion of 1.0 in n 4.550 * [backup-simplify]: Simplify 1.0 into 1.0 4.550 * [taylor]: Taking taylor expansion of (log PI) in n 4.550 * [taylor]: Taking taylor expansion of PI in n 4.550 * [backup-simplify]: Simplify PI into PI 4.550 * [backup-simplify]: Simplify (log PI) into (log PI) 4.551 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.553 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.553 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.553 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.553 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.553 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.553 * [taylor]: Taking taylor expansion of 1.0 in n 4.553 * [backup-simplify]: Simplify 1.0 into 1.0 4.553 * [taylor]: Taking taylor expansion of (log n) in n 4.553 * [taylor]: Taking taylor expansion of n in n 4.553 * [backup-simplify]: Simplify 0 into 0 4.553 * [backup-simplify]: Simplify 1 into 1 4.554 * [backup-simplify]: Simplify (log 1) into 0 4.554 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.554 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.554 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.554 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.554 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.554 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.554 * [taylor]: Taking taylor expansion of 1.0 in n 4.555 * [backup-simplify]: Simplify 1.0 into 1.0 4.555 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.555 * [taylor]: Taking taylor expansion of 2.0 in n 4.555 * [backup-simplify]: Simplify 2.0 into 2.0 4.555 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.556 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.558 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.558 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 4.560 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 4.561 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 4.563 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 4.564 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 4.566 * [backup-simplify]: Simplify (* +nan.0 (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 4.567 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 4.569 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 4.569 * [backup-simplify]: Simplify 0 into 0 4.570 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 4.570 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 4.572 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 2) into 0 4.573 * [backup-simplify]: Simplify (- 0) into 0 4.573 * [backup-simplify]: Simplify (+ 0 0) into 0 4.574 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 4.575 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 (* n PI)))))) into 0 4.577 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log (* 2.0 (* n PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 4.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.585 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.589 * [backup-simplify]: Simplify (+ (* 0 (* 0.125 (* (pow (log (* 2.0 (* n PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (+ (* +nan.0 (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (* +nan.0 (pow (* 2.0 (* n PI)) 0.5)))) into (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) 4.592 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0))) into (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) 4.592 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) in n 4.592 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))) in n 4.592 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 4.592 * [taylor]: Taking taylor expansion of +nan.0 in n 4.592 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.592 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.592 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.592 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.592 * [taylor]: Taking taylor expansion of 0.5 in n 4.593 * [backup-simplify]: Simplify 0.5 into 0.5 4.593 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.593 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.593 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.593 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.593 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.593 * [taylor]: Taking taylor expansion of 1.0 in n 4.593 * [backup-simplify]: Simplify 1.0 into 1.0 4.593 * [taylor]: Taking taylor expansion of (log PI) in n 4.593 * [taylor]: Taking taylor expansion of PI in n 4.593 * [backup-simplify]: Simplify PI into PI 4.593 * [backup-simplify]: Simplify (log PI) into (log PI) 4.594 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.595 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.595 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.595 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.595 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.595 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.595 * [taylor]: Taking taylor expansion of 1.0 in n 4.595 * [backup-simplify]: Simplify 1.0 into 1.0 4.595 * [taylor]: Taking taylor expansion of (log n) in n 4.595 * [taylor]: Taking taylor expansion of n in n 4.595 * [backup-simplify]: Simplify 0 into 0 4.595 * [backup-simplify]: Simplify 1 into 1 4.595 * [backup-simplify]: Simplify (log 1) into 0 4.596 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.596 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.596 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.596 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.596 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.596 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.596 * [taylor]: Taking taylor expansion of 1.0 in n 4.596 * [backup-simplify]: Simplify 1.0 into 1.0 4.596 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.596 * [taylor]: Taking taylor expansion of 2.0 in n 4.596 * [backup-simplify]: Simplify 2.0 into 2.0 4.596 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.597 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.598 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.598 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 4.599 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 4.600 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 4.600 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 4.601 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 4.601 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))) in n 4.601 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 4.601 * [taylor]: Taking taylor expansion of +nan.0 in n 4.601 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.601 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 4.601 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 4.601 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 4.601 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 4.601 * [taylor]: Taking taylor expansion of 0.5 in n 4.601 * [backup-simplify]: Simplify 0.5 into 0.5 4.601 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 4.602 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 4.602 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.602 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.602 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.602 * [taylor]: Taking taylor expansion of 1.0 in n 4.602 * [backup-simplify]: Simplify 1.0 into 1.0 4.602 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.602 * [taylor]: Taking taylor expansion of 2.0 in n 4.602 * [backup-simplify]: Simplify 2.0 into 2.0 4.602 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.602 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.603 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.603 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 4.603 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.603 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.603 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.603 * [taylor]: Taking taylor expansion of 1.0 in n 4.604 * [backup-simplify]: Simplify 1.0 into 1.0 4.604 * [taylor]: Taking taylor expansion of (log PI) in n 4.604 * [taylor]: Taking taylor expansion of PI in n 4.604 * [backup-simplify]: Simplify PI into PI 4.604 * [backup-simplify]: Simplify (log PI) into (log PI) 4.604 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.605 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.605 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.605 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.605 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.605 * [taylor]: Taking taylor expansion of 1.0 in n 4.606 * [backup-simplify]: Simplify 1.0 into 1.0 4.606 * [taylor]: Taking taylor expansion of (log n) in n 4.606 * [taylor]: Taking taylor expansion of n in n 4.606 * [backup-simplify]: Simplify 0 into 0 4.606 * [backup-simplify]: Simplify 1 into 1 4.606 * [backup-simplify]: Simplify (log 1) into 0 4.606 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.606 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.606 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.607 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 4.607 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 4.608 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 4.609 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 4.610 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 4.610 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.610 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.610 * [taylor]: Taking taylor expansion of 2.0 in n 4.610 * [backup-simplify]: Simplify 2.0 into 2.0 4.610 * [taylor]: Taking taylor expansion of (* n PI) in n 4.610 * [taylor]: Taking taylor expansion of n in n 4.610 * [backup-simplify]: Simplify 0 into 0 4.610 * [backup-simplify]: Simplify 1 into 1 4.610 * [taylor]: Taking taylor expansion of PI in n 4.610 * [backup-simplify]: Simplify PI into PI 4.610 * [backup-simplify]: Simplify (* 0 PI) into 0 4.611 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.612 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.613 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.613 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.614 * [backup-simplify]: Simplify (* +nan.0 (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 4.615 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.617 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (+ (log (* 2.0 PI)) (log n))) into (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 4.619 * [backup-simplify]: Simplify (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 4.621 * [backup-simplify]: Simplify (- (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))) 4.627 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))) into (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 4.633 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))) into (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 4.640 * [backup-simplify]: Simplify (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 4.642 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 4.643 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 4.645 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 4.646 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.647 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.647 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 4.648 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 4.649 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 4.651 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 4.652 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 4.653 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 4.655 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0 4.657 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1)))) 1) into 0 4.659 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)))) into 0 4.661 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 4.663 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5))) into 0 4.663 * [backup-simplify]: Simplify (- 0) into 0 4.664 * [backup-simplify]: Simplify 0 into 0 4.664 * [backup-simplify]: Simplify 0 into 0 4.664 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.666 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 4.669 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 (* n PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 (* n PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 6) into 0 4.669 * [backup-simplify]: Simplify (- 0) into 0 4.669 * [backup-simplify]: Simplify (+ 0 0) into 0 4.671 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 4.672 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 (* n PI))))))) into 0 4.675 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 3) 6)) (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (log (* 2.0 (* n PI))) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 4.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.679 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.685 * [backup-simplify]: Simplify (+ (* 0 (* -0.020833333333333332 (* (pow (log (* 2.0 (* n PI))) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (+ (* +nan.0 (* 0.125 (* (pow (log (* 2.0 (* n PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (+ (* +nan.0 (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (* +nan.0 (pow (* 2.0 (* n PI)) 0.5))))) into (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) 4.693 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))))) (+ (* 0 (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0)))) into (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) 4.693 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) in n 4.693 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))) in n 4.693 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 4.694 * [taylor]: Taking taylor expansion of +nan.0 in n 4.694 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.694 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.694 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.694 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.694 * [taylor]: Taking taylor expansion of 0.5 in n 4.694 * [backup-simplify]: Simplify 0.5 into 0.5 4.694 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.694 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.694 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.694 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.694 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.694 * [taylor]: Taking taylor expansion of 1.0 in n 4.694 * [backup-simplify]: Simplify 1.0 into 1.0 4.694 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.694 * [taylor]: Taking taylor expansion of 2.0 in n 4.694 * [backup-simplify]: Simplify 2.0 into 2.0 4.694 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.695 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.696 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.696 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.696 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.696 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.696 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.696 * [taylor]: Taking taylor expansion of 1.0 in n 4.696 * [backup-simplify]: Simplify 1.0 into 1.0 4.696 * [taylor]: Taking taylor expansion of (log n) in n 4.696 * [taylor]: Taking taylor expansion of n in n 4.696 * [backup-simplify]: Simplify 0 into 0 4.696 * [backup-simplify]: Simplify 1 into 1 4.696 * [backup-simplify]: Simplify (log 1) into 0 4.696 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.696 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.697 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.697 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.697 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.697 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.697 * [taylor]: Taking taylor expansion of 1.0 in n 4.697 * [backup-simplify]: Simplify 1.0 into 1.0 4.697 * [taylor]: Taking taylor expansion of (log PI) in n 4.697 * [taylor]: Taking taylor expansion of PI in n 4.697 * [backup-simplify]: Simplify PI into PI 4.697 * [backup-simplify]: Simplify (log PI) into (log PI) 4.698 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.699 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.699 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 4.700 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 4.701 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 4.701 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 4.702 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 4.702 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))) in n 4.702 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))) in n 4.702 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 4.702 * [taylor]: Taking taylor expansion of +nan.0 in n 4.702 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.702 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 4.703 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 4.703 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 4.703 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 4.703 * [taylor]: Taking taylor expansion of 0.5 in n 4.703 * [backup-simplify]: Simplify 0.5 into 0.5 4.703 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 4.703 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 4.703 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.703 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.703 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.703 * [taylor]: Taking taylor expansion of 1.0 in n 4.703 * [backup-simplify]: Simplify 1.0 into 1.0 4.703 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.703 * [taylor]: Taking taylor expansion of 2.0 in n 4.703 * [backup-simplify]: Simplify 2.0 into 2.0 4.703 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.704 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.705 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.705 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 4.705 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.705 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.705 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.705 * [taylor]: Taking taylor expansion of 1.0 in n 4.705 * [backup-simplify]: Simplify 1.0 into 1.0 4.705 * [taylor]: Taking taylor expansion of (log PI) in n 4.705 * [taylor]: Taking taylor expansion of PI in n 4.705 * [backup-simplify]: Simplify PI into PI 4.705 * [backup-simplify]: Simplify (log PI) into (log PI) 4.706 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.707 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.707 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.707 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.707 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.707 * [taylor]: Taking taylor expansion of 1.0 in n 4.707 * [backup-simplify]: Simplify 1.0 into 1.0 4.707 * [taylor]: Taking taylor expansion of (log n) in n 4.707 * [taylor]: Taking taylor expansion of n in n 4.707 * [backup-simplify]: Simplify 0 into 0 4.707 * [backup-simplify]: Simplify 1 into 1 4.707 * [backup-simplify]: Simplify (log 1) into 0 4.711 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.711 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.711 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.711 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 4.712 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 4.713 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 4.714 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 4.715 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 4.715 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.715 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.715 * [taylor]: Taking taylor expansion of 2.0 in n 4.715 * [backup-simplify]: Simplify 2.0 into 2.0 4.715 * [taylor]: Taking taylor expansion of (* n PI) in n 4.715 * [taylor]: Taking taylor expansion of n in n 4.715 * [backup-simplify]: Simplify 0 into 0 4.715 * [backup-simplify]: Simplify 1 into 1 4.715 * [taylor]: Taking taylor expansion of PI in n 4.715 * [backup-simplify]: Simplify PI into PI 4.715 * [backup-simplify]: Simplify (* 0 PI) into 0 4.716 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.717 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.718 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.718 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.718 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))) in n 4.718 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) in n 4.718 * [taylor]: Taking taylor expansion of +nan.0 in n 4.718 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.718 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)) in n 4.718 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 4.718 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 4.719 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 4.719 * [taylor]: Taking taylor expansion of 0.5 in n 4.719 * [backup-simplify]: Simplify 0.5 into 0.5 4.719 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 4.719 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 4.719 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.719 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.719 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.719 * [taylor]: Taking taylor expansion of 1.0 in n 4.719 * [backup-simplify]: Simplify 1.0 into 1.0 4.719 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.719 * [taylor]: Taking taylor expansion of 2.0 in n 4.719 * [backup-simplify]: Simplify 2.0 into 2.0 4.719 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.720 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.721 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.721 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 4.721 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.721 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.721 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.721 * [taylor]: Taking taylor expansion of 1.0 in n 4.721 * [backup-simplify]: Simplify 1.0 into 1.0 4.721 * [taylor]: Taking taylor expansion of (log PI) in n 4.721 * [taylor]: Taking taylor expansion of PI in n 4.721 * [backup-simplify]: Simplify PI into PI 4.721 * [backup-simplify]: Simplify (log PI) into (log PI) 4.722 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.723 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.723 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.723 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.723 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.723 * [taylor]: Taking taylor expansion of 1.0 in n 4.723 * [backup-simplify]: Simplify 1.0 into 1.0 4.723 * [taylor]: Taking taylor expansion of (log n) in n 4.723 * [taylor]: Taking taylor expansion of n in n 4.723 * [backup-simplify]: Simplify 0 into 0 4.723 * [backup-simplify]: Simplify 1 into 1 4.723 * [backup-simplify]: Simplify (log 1) into 0 4.724 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.724 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.724 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.724 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 4.725 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 4.726 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 4.727 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 4.727 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 4.727 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 4.728 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.728 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.728 * [taylor]: Taking taylor expansion of 2.0 in n 4.728 * [backup-simplify]: Simplify 2.0 into 2.0 4.728 * [taylor]: Taking taylor expansion of (* n PI) in n 4.728 * [taylor]: Taking taylor expansion of n in n 4.728 * [backup-simplify]: Simplify 0 into 0 4.728 * [backup-simplify]: Simplify 1 into 1 4.728 * [taylor]: Taking taylor expansion of PI in n 4.728 * [backup-simplify]: Simplify PI into PI 4.728 * [backup-simplify]: Simplify (* 0 PI) into 0 4.728 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.729 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.730 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.731 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.733 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.735 * [backup-simplify]: Simplify (* +nan.0 (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 4.737 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.739 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (+ (log (* 2.0 PI)) (log n))) into (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 4.742 * [backup-simplify]: Simplify (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 4.744 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.745 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.748 * [backup-simplify]: Simplify (* (+ (log (* 2.0 PI)) (log n)) (+ (log (* 2.0 PI)) (log n))) into (pow (+ (log (* 2.0 PI)) (log n)) 2) 4.751 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (pow (+ (log (* 2.0 PI)) (log n)) 2)) into (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 4.753 * [backup-simplify]: Simplify (* +nan.0 (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (* +nan.0 (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 4.755 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) into (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 4.762 * [backup-simplify]: Simplify (+ (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))))))) 4.770 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))) 4.779 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) 4.792 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) 4.806 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) 4.825 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) (pow (* 1 k) 2)) (+ (* (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) (* 1 k)) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) into (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))))))))))) 4.825 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 k))) (pow (* (* 2.0 PI) (/ 1 n)) (/ (- 1.0 (/ 1 k)) 2.0))) into (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) 4.825 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in (k n) around 0 4.825 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 4.825 * [taylor]: Taking taylor expansion of 1.0 in n 4.825 * [backup-simplify]: Simplify 1.0 into 1.0 4.826 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 4.826 * [taylor]: Taking taylor expansion of (sqrt k) in n 4.826 * [taylor]: Taking taylor expansion of k in n 4.826 * [backup-simplify]: Simplify k into k 4.826 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 4.826 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 4.826 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.826 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.826 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.826 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.826 * [taylor]: Taking taylor expansion of 0.5 in n 4.826 * [backup-simplify]: Simplify 0.5 into 0.5 4.826 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.826 * [taylor]: Taking taylor expansion of 1.0 in n 4.826 * [backup-simplify]: Simplify 1.0 into 1.0 4.826 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.826 * [taylor]: Taking taylor expansion of k in n 4.826 * [backup-simplify]: Simplify k into k 4.826 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.826 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.826 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.826 * [taylor]: Taking taylor expansion of 2.0 in n 4.826 * [backup-simplify]: Simplify 2.0 into 2.0 4.826 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.826 * [taylor]: Taking taylor expansion of PI in n 4.826 * [backup-simplify]: Simplify PI into PI 4.826 * [taylor]: Taking taylor expansion of n in n 4.826 * [backup-simplify]: Simplify 0 into 0 4.826 * [backup-simplify]: Simplify 1 into 1 4.826 * [backup-simplify]: Simplify (/ PI 1) into PI 4.827 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.827 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.828 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.828 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.828 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 4.829 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.829 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 4.830 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 4.830 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 4.830 * [taylor]: Taking taylor expansion of 1.0 in k 4.830 * [backup-simplify]: Simplify 1.0 into 1.0 4.830 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 4.830 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.831 * [taylor]: Taking taylor expansion of k in k 4.831 * [backup-simplify]: Simplify 0 into 0 4.831 * [backup-simplify]: Simplify 1 into 1 4.831 * [backup-simplify]: Simplify (sqrt 0) into 0 4.832 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.832 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.832 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.833 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.833 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.833 * [taylor]: Taking taylor expansion of 0.5 in k 4.833 * [backup-simplify]: Simplify 0.5 into 0.5 4.833 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.833 * [taylor]: Taking taylor expansion of 1.0 in k 4.833 * [backup-simplify]: Simplify 1.0 into 1.0 4.833 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.833 * [taylor]: Taking taylor expansion of k in k 4.833 * [backup-simplify]: Simplify 0 into 0 4.833 * [backup-simplify]: Simplify 1 into 1 4.833 * [backup-simplify]: Simplify (/ 1 1) into 1 4.833 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.833 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.833 * [taylor]: Taking taylor expansion of 2.0 in k 4.833 * [backup-simplify]: Simplify 2.0 into 2.0 4.833 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.833 * [taylor]: Taking taylor expansion of PI in k 4.833 * [backup-simplify]: Simplify PI into PI 4.833 * [taylor]: Taking taylor expansion of n in k 4.834 * [backup-simplify]: Simplify n into n 4.834 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.834 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 4.834 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 4.834 * [backup-simplify]: Simplify (- 1) into -1 4.835 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.835 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 4.835 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 4.836 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 4.836 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 4.836 * [taylor]: Taking taylor expansion of 1.0 in k 4.836 * [backup-simplify]: Simplify 1.0 into 1.0 4.836 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 4.836 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.836 * [taylor]: Taking taylor expansion of k in k 4.836 * [backup-simplify]: Simplify 0 into 0 4.836 * [backup-simplify]: Simplify 1 into 1 4.836 * [backup-simplify]: Simplify (sqrt 0) into 0 4.838 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.838 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.838 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.838 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.838 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.838 * [taylor]: Taking taylor expansion of 0.5 in k 4.838 * [backup-simplify]: Simplify 0.5 into 0.5 4.838 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.838 * [taylor]: Taking taylor expansion of 1.0 in k 4.838 * [backup-simplify]: Simplify 1.0 into 1.0 4.838 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.838 * [taylor]: Taking taylor expansion of k in k 4.838 * [backup-simplify]: Simplify 0 into 0 4.838 * [backup-simplify]: Simplify 1 into 1 4.838 * [backup-simplify]: Simplify (/ 1 1) into 1 4.839 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.839 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.839 * [taylor]: Taking taylor expansion of 2.0 in k 4.839 * [backup-simplify]: Simplify 2.0 into 2.0 4.839 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.839 * [taylor]: Taking taylor expansion of PI in k 4.839 * [backup-simplify]: Simplify PI into PI 4.839 * [taylor]: Taking taylor expansion of n in k 4.839 * [backup-simplify]: Simplify n into n 4.839 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.839 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 4.839 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 4.839 * [backup-simplify]: Simplify (- 1) into -1 4.840 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.840 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 4.840 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 4.841 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 4.841 * [backup-simplify]: Simplify (* 0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) into 0 4.842 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.842 * [taylor]: Taking taylor expansion of 0 in n 4.842 * [backup-simplify]: Simplify 0 into 0 4.842 * [backup-simplify]: Simplify 0 into 0 4.842 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 4.843 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (* 0 0)) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 4.843 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 4.843 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 4.844 * [taylor]: Taking taylor expansion of +nan.0 in n 4.844 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.844 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 4.844 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 4.844 * [taylor]: Taking taylor expansion of 0.5 in n 4.844 * [backup-simplify]: Simplify 0.5 into 0.5 4.844 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 4.844 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.844 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.844 * [taylor]: Taking taylor expansion of 2.0 in n 4.844 * [backup-simplify]: Simplify 2.0 into 2.0 4.844 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.844 * [taylor]: Taking taylor expansion of PI in n 4.844 * [backup-simplify]: Simplify PI into PI 4.844 * [taylor]: Taking taylor expansion of n in n 4.844 * [backup-simplify]: Simplify 0 into 0 4.844 * [backup-simplify]: Simplify 1 into 1 4.845 * [backup-simplify]: Simplify (/ PI 1) into PI 4.845 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.846 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.846 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.846 * [taylor]: Taking taylor expansion of 1.0 in n 4.846 * [backup-simplify]: Simplify 1.0 into 1.0 4.846 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.846 * [taylor]: Taking taylor expansion of k in n 4.846 * [backup-simplify]: Simplify k into k 4.846 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.848 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.848 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.848 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.849 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 4.851 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 4.852 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 4.853 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) 4.855 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 4.856 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 4.857 * [backup-simplify]: Simplify 0 into 0 4.860 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.861 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 4.862 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (* 0 0))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 4.862 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 4.862 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 4.862 * [taylor]: Taking taylor expansion of +nan.0 in n 4.862 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.862 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 4.862 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 4.862 * [taylor]: Taking taylor expansion of 0.5 in n 4.862 * [backup-simplify]: Simplify 0.5 into 0.5 4.862 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 4.862 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.862 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.862 * [taylor]: Taking taylor expansion of 2.0 in n 4.862 * [backup-simplify]: Simplify 2.0 into 2.0 4.862 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.863 * [taylor]: Taking taylor expansion of PI in n 4.863 * [backup-simplify]: Simplify PI into PI 4.863 * [taylor]: Taking taylor expansion of n in n 4.863 * [backup-simplify]: Simplify 0 into 0 4.863 * [backup-simplify]: Simplify 1 into 1 4.863 * [backup-simplify]: Simplify (/ PI 1) into PI 4.864 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.865 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.865 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.865 * [taylor]: Taking taylor expansion of 1.0 in n 4.865 * [backup-simplify]: Simplify 1.0 into 1.0 4.865 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.865 * [taylor]: Taking taylor expansion of k in n 4.865 * [backup-simplify]: Simplify k into k 4.865 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.867 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.867 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.867 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.868 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 4.869 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 4.870 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 4.872 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) 4.873 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 4.875 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 4.876 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.876 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.877 * [backup-simplify]: Simplify (- 0) into 0 4.877 * [backup-simplify]: Simplify (+ 0 0) into 0 4.878 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.879 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 4.881 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 4.882 * [backup-simplify]: Simplify (+ (* (- (log (* 2.0 PI)) (log n)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 4.884 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into 0 4.886 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.888 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into 0 4.888 * [backup-simplify]: Simplify (- 0) into 0 4.888 * [backup-simplify]: Simplify 0 into 0 4.888 * [backup-simplify]: Simplify 0 into 0 4.892 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.894 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 4.896 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (* 0 0)))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 4.896 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 4.896 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 4.896 * [taylor]: Taking taylor expansion of +nan.0 in n 4.896 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.896 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 4.896 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 4.896 * [taylor]: Taking taylor expansion of 0.5 in n 4.896 * [backup-simplify]: Simplify 0.5 into 0.5 4.896 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 4.896 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.896 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.896 * [taylor]: Taking taylor expansion of 2.0 in n 4.896 * [backup-simplify]: Simplify 2.0 into 2.0 4.896 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.897 * [taylor]: Taking taylor expansion of PI in n 4.897 * [backup-simplify]: Simplify PI into PI 4.897 * [taylor]: Taking taylor expansion of n in n 4.897 * [backup-simplify]: Simplify 0 into 0 4.897 * [backup-simplify]: Simplify 1 into 1 4.897 * [backup-simplify]: Simplify (/ PI 1) into PI 4.898 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.899 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.899 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.899 * [taylor]: Taking taylor expansion of 1.0 in n 4.899 * [backup-simplify]: Simplify 1.0 into 1.0 4.899 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.899 * [taylor]: Taking taylor expansion of k in n 4.899 * [backup-simplify]: Simplify k into k 4.899 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.901 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.901 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.901 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.902 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 4.904 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 4.905 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 4.906 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) 4.907 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 4.909 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 4.914 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))))))) 4.915 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 (- k)))) (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (- 1.0 (/ 1 (- k))) 2.0))) into (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) 4.915 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k n) around 0 4.915 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 4.915 * [taylor]: Taking taylor expansion of 1.0 in n 4.915 * [backup-simplify]: Simplify 1.0 into 1.0 4.915 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 4.915 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.915 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.915 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.915 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.915 * [taylor]: Taking taylor expansion of 0.5 in n 4.915 * [backup-simplify]: Simplify 0.5 into 0.5 4.915 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.915 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.915 * [taylor]: Taking taylor expansion of k in n 4.915 * [backup-simplify]: Simplify k into k 4.916 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.916 * [taylor]: Taking taylor expansion of 1.0 in n 4.916 * [backup-simplify]: Simplify 1.0 into 1.0 4.916 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.916 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.916 * [taylor]: Taking taylor expansion of -2.0 in n 4.916 * [backup-simplify]: Simplify -2.0 into -2.0 4.916 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.916 * [taylor]: Taking taylor expansion of PI in n 4.916 * [backup-simplify]: Simplify PI into PI 4.916 * [taylor]: Taking taylor expansion of n in n 4.916 * [backup-simplify]: Simplify 0 into 0 4.916 * [backup-simplify]: Simplify 1 into 1 4.916 * [backup-simplify]: Simplify (/ PI 1) into PI 4.917 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.918 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.918 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.918 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 4.920 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.921 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 4.923 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 4.923 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 4.923 * [taylor]: Taking taylor expansion of (/ -1 k) in n 4.923 * [taylor]: Taking taylor expansion of -1 in n 4.923 * [backup-simplify]: Simplify -1 into -1 4.923 * [taylor]: Taking taylor expansion of k in n 4.923 * [backup-simplify]: Simplify k into k 4.923 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 4.923 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 4.923 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 4.923 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 4.925 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))) 4.925 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 4.925 * [taylor]: Taking taylor expansion of 1.0 in k 4.925 * [backup-simplify]: Simplify 1.0 into 1.0 4.925 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 4.925 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.925 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.925 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.925 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.925 * [taylor]: Taking taylor expansion of 0.5 in k 4.925 * [backup-simplify]: Simplify 0.5 into 0.5 4.925 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.925 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.925 * [taylor]: Taking taylor expansion of k in k 4.925 * [backup-simplify]: Simplify 0 into 0 4.925 * [backup-simplify]: Simplify 1 into 1 4.926 * [backup-simplify]: Simplify (/ 1 1) into 1 4.926 * [taylor]: Taking taylor expansion of 1.0 in k 4.926 * [backup-simplify]: Simplify 1.0 into 1.0 4.926 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.926 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.926 * [taylor]: Taking taylor expansion of -2.0 in k 4.926 * [backup-simplify]: Simplify -2.0 into -2.0 4.926 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.926 * [taylor]: Taking taylor expansion of PI in k 4.926 * [backup-simplify]: Simplify PI into PI 4.926 * [taylor]: Taking taylor expansion of n in k 4.926 * [backup-simplify]: Simplify n into n 4.926 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.926 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 4.926 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 4.927 * [backup-simplify]: Simplify (+ 1 0) into 1 4.927 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.927 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 4.927 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 4.927 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.928 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.928 * [taylor]: Taking taylor expansion of -1 in k 4.928 * [backup-simplify]: Simplify -1 into -1 4.928 * [taylor]: Taking taylor expansion of k in k 4.928 * [backup-simplify]: Simplify 0 into 0 4.928 * [backup-simplify]: Simplify 1 into 1 4.928 * [backup-simplify]: Simplify (/ -1 1) into -1 4.929 * [backup-simplify]: Simplify (sqrt 0) into 0 4.930 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.930 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) 4.930 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 4.931 * [taylor]: Taking taylor expansion of 1.0 in k 4.931 * [backup-simplify]: Simplify 1.0 into 1.0 4.931 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 4.931 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.931 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.931 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.931 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.931 * [taylor]: Taking taylor expansion of 0.5 in k 4.931 * [backup-simplify]: Simplify 0.5 into 0.5 4.931 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.931 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.931 * [taylor]: Taking taylor expansion of k in k 4.931 * [backup-simplify]: Simplify 0 into 0 4.931 * [backup-simplify]: Simplify 1 into 1 4.931 * [backup-simplify]: Simplify (/ 1 1) into 1 4.931 * [taylor]: Taking taylor expansion of 1.0 in k 4.932 * [backup-simplify]: Simplify 1.0 into 1.0 4.932 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.932 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.932 * [taylor]: Taking taylor expansion of -2.0 in k 4.932 * [backup-simplify]: Simplify -2.0 into -2.0 4.932 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.932 * [taylor]: Taking taylor expansion of PI in k 4.932 * [backup-simplify]: Simplify PI into PI 4.932 * [taylor]: Taking taylor expansion of n in k 4.932 * [backup-simplify]: Simplify n into n 4.932 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.932 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 4.932 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 4.933 * [backup-simplify]: Simplify (+ 1 0) into 1 4.933 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.933 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 4.933 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 4.934 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.934 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.934 * [taylor]: Taking taylor expansion of -1 in k 4.934 * [backup-simplify]: Simplify -1 into -1 4.934 * [taylor]: Taking taylor expansion of k in k 4.934 * [backup-simplify]: Simplify 0 into 0 4.934 * [backup-simplify]: Simplify 1 into 1 4.934 * [backup-simplify]: Simplify (/ -1 1) into -1 4.935 * [backup-simplify]: Simplify (sqrt 0) into 0 4.936 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.936 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) 4.937 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) 4.937 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 4.937 * [taylor]: Taking taylor expansion of +nan.0 in n 4.937 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.937 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 4.937 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 4.937 * [taylor]: Taking taylor expansion of 0.5 in n 4.937 * [backup-simplify]: Simplify 0.5 into 0.5 4.937 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 4.937 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.937 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.937 * [taylor]: Taking taylor expansion of k in n 4.937 * [backup-simplify]: Simplify k into k 4.937 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.937 * [taylor]: Taking taylor expansion of 1.0 in n 4.937 * [backup-simplify]: Simplify 1.0 into 1.0 4.937 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.937 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.937 * [taylor]: Taking taylor expansion of -2.0 in n 4.937 * [backup-simplify]: Simplify -2.0 into -2.0 4.937 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.937 * [taylor]: Taking taylor expansion of PI in n 4.937 * [backup-simplify]: Simplify PI into PI 4.937 * [taylor]: Taking taylor expansion of n in n 4.937 * [backup-simplify]: Simplify 0 into 0 4.937 * [backup-simplify]: Simplify 1 into 1 4.938 * [backup-simplify]: Simplify (/ PI 1) into PI 4.938 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.940 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.940 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.941 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.943 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 4.944 * [backup-simplify]: Simplify (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 4.945 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 4.947 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) 4.948 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) 4.949 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.951 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.952 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) 4.953 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) 4.953 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 4.953 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 4.953 * [taylor]: Taking taylor expansion of +nan.0 in n 4.953 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.953 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 4.953 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 4.953 * [taylor]: Taking taylor expansion of 0.5 in n 4.953 * [backup-simplify]: Simplify 0.5 into 0.5 4.953 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 4.953 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.953 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.953 * [taylor]: Taking taylor expansion of k in n 4.953 * [backup-simplify]: Simplify k into k 4.953 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.953 * [taylor]: Taking taylor expansion of 1.0 in n 4.953 * [backup-simplify]: Simplify 1.0 into 1.0 4.953 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.953 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.953 * [taylor]: Taking taylor expansion of -2.0 in n 4.953 * [backup-simplify]: Simplify -2.0 into -2.0 4.953 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.953 * [taylor]: Taking taylor expansion of PI in n 4.953 * [backup-simplify]: Simplify PI into PI 4.953 * [taylor]: Taking taylor expansion of n in n 4.953 * [backup-simplify]: Simplify 0 into 0 4.953 * [backup-simplify]: Simplify 1 into 1 4.953 * [backup-simplify]: Simplify (/ PI 1) into PI 4.954 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.954 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.955 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.955 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.956 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 4.957 * [backup-simplify]: Simplify (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 4.958 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 4.959 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) 4.959 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) 4.960 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) 4.961 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.961 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 4.962 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 4.963 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.963 * [backup-simplify]: Simplify (+ 0 0) into 0 4.967 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.968 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 4.969 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into 0 4.971 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.972 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into 0 4.972 * [backup-simplify]: Simplify 0 into 0 4.973 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.975 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.976 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) 4.977 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) 4.977 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 4.977 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 4.977 * [taylor]: Taking taylor expansion of +nan.0 in n 4.977 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.977 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 4.977 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 4.977 * [taylor]: Taking taylor expansion of 0.5 in n 4.977 * [backup-simplify]: Simplify 0.5 into 0.5 4.977 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 4.977 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.977 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.977 * [taylor]: Taking taylor expansion of k in n 4.977 * [backup-simplify]: Simplify k into k 4.977 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.977 * [taylor]: Taking taylor expansion of 1.0 in n 4.977 * [backup-simplify]: Simplify 1.0 into 1.0 4.977 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.977 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.977 * [taylor]: Taking taylor expansion of -2.0 in n 4.977 * [backup-simplify]: Simplify -2.0 into -2.0 4.977 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.977 * [taylor]: Taking taylor expansion of PI in n 4.977 * [backup-simplify]: Simplify PI into PI 4.978 * [taylor]: Taking taylor expansion of n in n 4.978 * [backup-simplify]: Simplify 0 into 0 4.978 * [backup-simplify]: Simplify 1 into 1 4.978 * [backup-simplify]: Simplify (/ PI 1) into PI 4.978 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.979 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.979 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.980 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.981 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 4.981 * [backup-simplify]: Simplify (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 4.982 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 4.983 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) 4.984 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) 4.985 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) 4.988 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))))))) 4.988 * * * [progress]: simplifying candidates 4.990 * [simplify]: Simplifying: (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))))))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))))))) 4.995 * * [simplify]: Extracting # 0 : cost 0 4.995 * * [simplify]: Extracting # 1 : cost 0 4.996 * * [simplify]: Extracting # 2 : cost 0 4.996 * * [simplify]: Extracting # 3 : cost 0 4.996 * * [simplify]: Extracting # 4 : cost 0 4.997 * * [simplify]: Extracting # 5 : cost 0 4.997 * * [simplify]: Extracting # 6 : cost 0 4.998 * * [simplify]: Extracting # 7 : cost 0 4.998 * * [simplify]: Extracting # 8 : cost 0 4.999 * * [simplify]: Extracting # 9 : cost 0 4.999 * * [simplify]: Extracting # 10 : cost 0 5.000 * * [simplify]: Extracting # 11 : cost 0 5.000 * * [simplify]: Extracting # 12 : cost 0 5.001 * * [simplify]: Extracting # 13 : cost 0 5.002 * * [simplify]: Extracting # 14 : cost 0 5.002 * * [simplify]: Extracting # 15 : cost 0 5.003 * * [simplify]: Extracting # 16 : cost 0 5.003 * * [simplify]: Extracting # 17 : cost 0 5.004 * * [simplify]: Extracting # 18 : cost 0 5.005 * * [simplify]: Extracting # 19 : cost 0 5.005 * * [simplify]: Extracting # 20 : cost 0 5.006 * * [simplify]: Extracting # 21 : cost 0 5.006 * * [simplify]: Extracting # 22 : cost 0 5.007 * * [simplify]: Extracting # 23 : cost 0 5.007 * * [simplify]: Extracting # 24 : cost 0 5.008 * * [simplify]: Extracting # 25 : cost 0 5.009 * * [simplify]: Extracting # 26 : cost 0 5.009 * * [simplify]: Extracting # 27 : cost 0 5.010 * * [simplify]: Extracting # 28 : cost 0 5.011 * * [simplify]: Extracting # 29 : cost 0 5.012 * * [simplify]: Extracting # 30 : cost 0 5.014 * * [simplify]: Extracting # 31 : cost 0 5.015 * * [simplify]: Extracting # 32 : cost 0 5.016 * * [simplify]: Extracting # 33 : cost 0 5.017 * * [simplify]: iteration 0 : 361 enodes (cost 2800 ) 5.186 * * [simplify]: Extracting # 0 : cost 0 5.189 * * [simplify]: Extracting # 1 : cost 0 5.198 * * [simplify]: Extracting # 2 : cost 0 5.200 * * [simplify]: Extracting # 3 : cost 0 5.203 * * [simplify]: Extracting # 4 : cost 0 5.206 * * [simplify]: Extracting # 5 : cost 0 5.208 * * [simplify]: Extracting # 6 : cost 0 5.211 * * [simplify]: iteration 1 : 931 enodes (cost 2635 ) 5.840 * * [simplify]: Extracting # 0 : cost 0 5.844 * * [simplify]: Extracting # 1 : cost 0 5.848 * * [simplify]: Extracting # 2 : cost 0 5.861 * * [simplify]: Extracting # 3 : cost 0 5.870 * * [simplify]: Extracting # 4 : cost 0 5.878 * * [simplify]: Extracting # 5 : cost 0 5.886 * * [simplify]: iteration 2 : 3051 enodes (cost 2471 ) 7.066 * * [simplify]: Extracting # 0 : cost 0 7.079 * * [simplify]: Extracting # 1 : cost 0 7.091 * * [simplify]: Extracting # 2 : cost 0 7.102 * * [simplify]: Extracting # 3 : cost 0 7.114 * * [simplify]: Extracting # 4 : cost 0 7.126 * * [simplify]: iteration done: 5001 enodes (cost 2471 ) 7.129 * [simplify]: Simplified to: (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 (* n PI)) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (sqrt (- 1.0 k))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* PI (* 2.0 n)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (pow (* PI (* 2.0 n)) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* PI (* 2.0 n)) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* PI (* 2.0 n)) (/ (/ (- 1.0 k) 2.0) 2)) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (/ (pow 1.0 3) k) (sqrt k)) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt k))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (log (* PI (* 2.0 n))) (log (* PI (* 2.0 n))) (log (* PI (* 2.0 n))) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* n PI) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (/ (pow 1.0 3) k) (sqrt k)) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3)) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (- (+ (+ (pow (* (* 2.0 PI) n) 0.5) (* (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (* 2.0 PI) n) 0.5)) 0.25)) (* (* 0.125 (pow k 2)) (+ (* (pow (log (* 2.0 PI)) 2) (pow (* (* 2.0 PI) n) 0.5)) (* (pow (* (* 2.0 PI) n) 0.5) (pow (log n) 2))))) (* (* 0.5 k) (+ (* (pow (* (* 2.0 PI) n) 0.5) (log n)) (* (pow (* (* 2.0 PI) n) 0.5) (log (* 2.0 PI)))))) (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) (pow (exp (* 0.5 (- 1.0 k))) (- (log (* -2.0 PI)) (log (/ -1 n)))) (- (- (* +nan.0 k) (- (* +nan.0 (pow k 2)) +nan.0))) (+ (- (/ +nan.0 k) (/ +nan.0 (pow k 3))) (/ (- +nan.0) (pow k 2))) (- (+ (- (/ +nan.0 (pow k 2)) (/ +nan.0 k)) +nan.0)) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (+ (+ (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))) (+ (- (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (+ (- (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (* +nan.0 (- (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))) (- (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) (+ (* (- +nan.0) (/ (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) (pow k 3))) (* +nan.0 (- (/ (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) k) (/ (/ (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) k) k)))) (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)))) 7.131 * * * [progress]: adding candidates to table 7.838 * * [progress]: iteration 2 / 4 7.838 * * * [progress]: picking best candidate 7.884 * * * * [pick]: Picked # 7.884 * * * [progress]: localizing error 7.905 * * * [progress]: generating rewritten candidates 7.905 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 7.968 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 8.005 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 8.011 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 8.067 * * * [progress]: generating series expansions 8.067 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 8.068 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) into (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 8.068 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0 8.068 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 8.068 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 8.068 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 8.068 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 8.068 * [taylor]: Taking taylor expansion of 0.25 in k 8.068 * [backup-simplify]: Simplify 0.25 into 0.25 8.068 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.068 * [taylor]: Taking taylor expansion of 1.0 in k 8.068 * [backup-simplify]: Simplify 1.0 into 1.0 8.068 * [taylor]: Taking taylor expansion of k in k 8.068 * [backup-simplify]: Simplify 0 into 0 8.068 * [backup-simplify]: Simplify 1 into 1 8.068 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 8.068 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 8.068 * [taylor]: Taking taylor expansion of 2.0 in k 8.069 * [backup-simplify]: Simplify 2.0 into 2.0 8.069 * [taylor]: Taking taylor expansion of (* n PI) in k 8.069 * [taylor]: Taking taylor expansion of n in k 8.069 * [backup-simplify]: Simplify n into n 8.069 * [taylor]: Taking taylor expansion of PI in k 8.069 * [backup-simplify]: Simplify PI into PI 8.069 * [backup-simplify]: Simplify (* n PI) into (* n PI) 8.069 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 8.069 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 8.069 * [backup-simplify]: Simplify (- 0) into 0 8.070 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.070 * [backup-simplify]: Simplify (* 0.25 1.0) into 0.25 8.070 * [backup-simplify]: Simplify (* 0.25 (log (* 2.0 (* n PI)))) into (* 0.25 (log (* 2.0 (* n PI)))) 8.071 * [backup-simplify]: Simplify (exp (* 0.25 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.25) 8.071 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 8.071 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 8.071 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 8.071 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 8.071 * [taylor]: Taking taylor expansion of 0.25 in n 8.071 * [backup-simplify]: Simplify 0.25 into 0.25 8.071 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 8.071 * [taylor]: Taking taylor expansion of 1.0 in n 8.071 * [backup-simplify]: Simplify 1.0 into 1.0 8.071 * [taylor]: Taking taylor expansion of k in n 8.071 * [backup-simplify]: Simplify k into k 8.071 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 8.071 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.071 * [taylor]: Taking taylor expansion of 2.0 in n 8.071 * [backup-simplify]: Simplify 2.0 into 2.0 8.071 * [taylor]: Taking taylor expansion of (* n PI) in n 8.071 * [taylor]: Taking taylor expansion of n in n 8.071 * [backup-simplify]: Simplify 0 into 0 8.071 * [backup-simplify]: Simplify 1 into 1 8.071 * [taylor]: Taking taylor expansion of PI in n 8.071 * [backup-simplify]: Simplify PI into PI 8.072 * [backup-simplify]: Simplify (* 0 PI) into 0 8.072 * [backup-simplify]: Simplify (* 2.0 0) into 0 8.074 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 8.075 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 8.075 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.076 * [backup-simplify]: Simplify (- k) into (- k) 8.076 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 8.076 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 8.076 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 8.077 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 8.078 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 8.078 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 8.078 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 8.078 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 8.078 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 8.078 * [taylor]: Taking taylor expansion of 0.25 in n 8.078 * [backup-simplify]: Simplify 0.25 into 0.25 8.078 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 8.078 * [taylor]: Taking taylor expansion of 1.0 in n 8.078 * [backup-simplify]: Simplify 1.0 into 1.0 8.078 * [taylor]: Taking taylor expansion of k in n 8.078 * [backup-simplify]: Simplify k into k 8.078 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 8.078 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.078 * [taylor]: Taking taylor expansion of 2.0 in n 8.078 * [backup-simplify]: Simplify 2.0 into 2.0 8.078 * [taylor]: Taking taylor expansion of (* n PI) in n 8.078 * [taylor]: Taking taylor expansion of n in n 8.078 * [backup-simplify]: Simplify 0 into 0 8.078 * [backup-simplify]: Simplify 1 into 1 8.078 * [taylor]: Taking taylor expansion of PI in n 8.078 * [backup-simplify]: Simplify PI into PI 8.079 * [backup-simplify]: Simplify (* 0 PI) into 0 8.079 * [backup-simplify]: Simplify (* 2.0 0) into 0 8.080 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 8.081 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 8.081 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.081 * [backup-simplify]: Simplify (- k) into (- k) 8.081 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 8.082 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 8.082 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 8.083 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 8.084 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 8.084 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 8.084 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 8.084 * [taylor]: Taking taylor expansion of 0.25 in k 8.084 * [backup-simplify]: Simplify 0.25 into 0.25 8.084 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 8.084 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.084 * [taylor]: Taking taylor expansion of 1.0 in k 8.084 * [backup-simplify]: Simplify 1.0 into 1.0 8.084 * [taylor]: Taking taylor expansion of k in k 8.084 * [backup-simplify]: Simplify 0 into 0 8.084 * [backup-simplify]: Simplify 1 into 1 8.084 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 8.084 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.084 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.084 * [taylor]: Taking taylor expansion of 2.0 in k 8.084 * [backup-simplify]: Simplify 2.0 into 2.0 8.084 * [taylor]: Taking taylor expansion of PI in k 8.084 * [backup-simplify]: Simplify PI into PI 8.085 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.085 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.085 * [taylor]: Taking taylor expansion of (log n) in k 8.085 * [taylor]: Taking taylor expansion of n in k 8.085 * [backup-simplify]: Simplify n into n 8.085 * [backup-simplify]: Simplify (log n) into (log n) 8.086 * [backup-simplify]: Simplify (- 0) into 0 8.086 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.086 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 8.087 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 8.088 * [backup-simplify]: Simplify (* 0.25 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.25 (+ (log (* 2.0 PI)) (log n))) 8.089 * [backup-simplify]: Simplify (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 8.089 * [backup-simplify]: Simplify (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 8.090 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 8.091 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 8.092 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 8.092 * [backup-simplify]: Simplify (- 0) into 0 8.092 * [backup-simplify]: Simplify (+ 0 0) into 0 8.092 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 k))) into 0 8.093 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 8.094 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 8.095 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 8.095 * [taylor]: Taking taylor expansion of 0 in k 8.095 * [backup-simplify]: Simplify 0 into 0 8.095 * [backup-simplify]: Simplify 0 into 0 8.096 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 8.097 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 8.097 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 8.098 * [backup-simplify]: Simplify (+ 0 0) into 0 8.098 * [backup-simplify]: Simplify (- 1) into -1 8.098 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.099 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 8.100 * [backup-simplify]: Simplify (+ (* 0.25 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n))))) into (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 8.103 * [backup-simplify]: Simplify (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 1) 1)))) into (* -1 (* (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) 8.106 * [backup-simplify]: Simplify (* -1 (* (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) into (* -1 (* (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) 8.107 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 8.109 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 8.112 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 8.113 * [backup-simplify]: Simplify (- 0) into 0 8.113 * [backup-simplify]: Simplify (+ 0 0) into 0 8.114 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 8.116 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 8.117 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 8.119 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.119 * [taylor]: Taking taylor expansion of 0 in k 8.119 * [backup-simplify]: Simplify 0 into 0 8.119 * [backup-simplify]: Simplify 0 into 0 8.119 * [backup-simplify]: Simplify 0 into 0 8.120 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 8.122 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 8.123 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 8.123 * [backup-simplify]: Simplify (+ 0 0) into 0 8.123 * [backup-simplify]: Simplify (- 0) into 0 8.124 * [backup-simplify]: Simplify (+ 0 0) into 0 8.125 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 8.127 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 8.129 * [backup-simplify]: Simplify (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.03125 (pow (log n) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) 8.132 * [backup-simplify]: Simplify (* (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.03125 (pow (log n) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) into (* (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.03125 (pow (log n) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) 8.139 * [backup-simplify]: Simplify (+ (* (* (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.03125 (pow (log n) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) (* k 1)) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) into (- (+ (* 0.03125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (+ (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.0625 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (* 0.03125 (* (pow k 2) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))))))) (+ (* 0.25 (* k (* (log (* 2.0 PI)) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (* 0.25 (* k (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) 8.139 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 n)) (/ (/ (- 1.0 (/ 1 k)) 2.0) 2)) into (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) 8.140 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 8.140 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 8.140 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 8.140 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 8.140 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 8.140 * [taylor]: Taking taylor expansion of 0.25 in k 8.140 * [backup-simplify]: Simplify 0.25 into 0.25 8.140 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.140 * [taylor]: Taking taylor expansion of 1.0 in k 8.140 * [backup-simplify]: Simplify 1.0 into 1.0 8.140 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.140 * [taylor]: Taking taylor expansion of k in k 8.140 * [backup-simplify]: Simplify 0 into 0 8.140 * [backup-simplify]: Simplify 1 into 1 8.140 * [backup-simplify]: Simplify (/ 1 1) into 1 8.140 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 8.140 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 8.140 * [taylor]: Taking taylor expansion of 2.0 in k 8.140 * [backup-simplify]: Simplify 2.0 into 2.0 8.141 * [taylor]: Taking taylor expansion of (/ PI n) in k 8.141 * [taylor]: Taking taylor expansion of PI in k 8.141 * [backup-simplify]: Simplify PI into PI 8.141 * [taylor]: Taking taylor expansion of n in k 8.141 * [backup-simplify]: Simplify n into n 8.141 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 8.141 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 8.141 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 8.141 * [backup-simplify]: Simplify (- 1) into -1 8.142 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.142 * [backup-simplify]: Simplify (* 0.25 -1) into -0.25 8.142 * [backup-simplify]: Simplify (* -0.25 (log (* 2.0 (/ PI n)))) into (* -0.25 (log (* 2.0 (/ PI n)))) 8.143 * [backup-simplify]: Simplify (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 8.143 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 8.143 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 8.143 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 8.143 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 8.143 * [taylor]: Taking taylor expansion of 0.25 in n 8.143 * [backup-simplify]: Simplify 0.25 into 0.25 8.143 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.143 * [taylor]: Taking taylor expansion of 1.0 in n 8.143 * [backup-simplify]: Simplify 1.0 into 1.0 8.143 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.143 * [taylor]: Taking taylor expansion of k in n 8.143 * [backup-simplify]: Simplify k into k 8.143 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.143 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 8.143 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.143 * [taylor]: Taking taylor expansion of 2.0 in n 8.143 * [backup-simplify]: Simplify 2.0 into 2.0 8.144 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.144 * [taylor]: Taking taylor expansion of PI in n 8.144 * [backup-simplify]: Simplify PI into PI 8.144 * [taylor]: Taking taylor expansion of n in n 8.144 * [backup-simplify]: Simplify 0 into 0 8.144 * [backup-simplify]: Simplify 1 into 1 8.144 * [backup-simplify]: Simplify (/ PI 1) into PI 8.145 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.146 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.146 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 8.146 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 8.146 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 8.148 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 8.155 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 8.156 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 8.156 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 8.156 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 8.156 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 8.157 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 8.157 * [taylor]: Taking taylor expansion of 0.25 in n 8.157 * [backup-simplify]: Simplify 0.25 into 0.25 8.157 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.157 * [taylor]: Taking taylor expansion of 1.0 in n 8.157 * [backup-simplify]: Simplify 1.0 into 1.0 8.157 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.157 * [taylor]: Taking taylor expansion of k in n 8.157 * [backup-simplify]: Simplify k into k 8.157 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.157 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 8.157 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.157 * [taylor]: Taking taylor expansion of 2.0 in n 8.157 * [backup-simplify]: Simplify 2.0 into 2.0 8.157 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.157 * [taylor]: Taking taylor expansion of PI in n 8.157 * [backup-simplify]: Simplify PI into PI 8.157 * [taylor]: Taking taylor expansion of n in n 8.157 * [backup-simplify]: Simplify 0 into 0 8.157 * [backup-simplify]: Simplify 1 into 1 8.158 * [backup-simplify]: Simplify (/ PI 1) into PI 8.158 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.159 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.159 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 8.159 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 8.160 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 8.161 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 8.162 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 8.164 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 8.164 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 8.164 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 8.164 * [taylor]: Taking taylor expansion of 0.25 in k 8.164 * [backup-simplify]: Simplify 0.25 into 0.25 8.164 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 8.164 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 8.164 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.164 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.164 * [taylor]: Taking taylor expansion of 2.0 in k 8.164 * [backup-simplify]: Simplify 2.0 into 2.0 8.164 * [taylor]: Taking taylor expansion of PI in k 8.164 * [backup-simplify]: Simplify PI into PI 8.165 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.166 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.166 * [taylor]: Taking taylor expansion of (log n) in k 8.166 * [taylor]: Taking taylor expansion of n in k 8.166 * [backup-simplify]: Simplify n into n 8.166 * [backup-simplify]: Simplify (log n) into (log n) 8.166 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.166 * [taylor]: Taking taylor expansion of 1.0 in k 8.166 * [backup-simplify]: Simplify 1.0 into 1.0 8.166 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.166 * [taylor]: Taking taylor expansion of k in k 8.166 * [backup-simplify]: Simplify 0 into 0 8.166 * [backup-simplify]: Simplify 1 into 1 8.166 * [backup-simplify]: Simplify (/ 1 1) into 1 8.167 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 8.168 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 8.168 * [backup-simplify]: Simplify (- 1) into -1 8.168 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.169 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 8.171 * [backup-simplify]: Simplify (* 0.25 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.25 (- (log (* 2.0 PI)) (log n))) 8.172 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 8.173 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 8.174 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.175 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 8.177 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 8.177 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 8.178 * [backup-simplify]: Simplify (- 0) into 0 8.178 * [backup-simplify]: Simplify (+ 0 0) into 0 8.179 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 (/ 1 k)))) into 0 8.180 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 8.181 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 8.183 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 8.183 * [taylor]: Taking taylor expansion of 0 in k 8.183 * [backup-simplify]: Simplify 0 into 0 8.183 * [backup-simplify]: Simplify 0 into 0 8.184 * [backup-simplify]: Simplify 0 into 0 8.185 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.186 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 8.189 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 8.189 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.190 * [backup-simplify]: Simplify (- 0) into 0 8.190 * [backup-simplify]: Simplify (+ 0 0) into 0 8.191 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 8.193 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 8.195 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 8.197 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.197 * [taylor]: Taking taylor expansion of 0 in k 8.197 * [backup-simplify]: Simplify 0 into 0 8.197 * [backup-simplify]: Simplify 0 into 0 8.197 * [backup-simplify]: Simplify 0 into 0 8.197 * [backup-simplify]: Simplify 0 into 0 8.198 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.200 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.206 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0 8.206 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.207 * [backup-simplify]: Simplify (- 0) into 0 8.207 * [backup-simplify]: Simplify (+ 0 0) into 0 8.208 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 8.210 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 8.212 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 8.215 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 8.215 * [taylor]: Taking taylor expansion of 0 in k 8.215 * [backup-simplify]: Simplify 0 into 0 8.215 * [backup-simplify]: Simplify 0 into 0 8.217 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) 8.217 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (/ (- 1.0 (/ 1 (- k))) 2.0) 2)) into (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) 8.218 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 8.218 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 8.218 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 8.218 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 8.218 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 8.218 * [taylor]: Taking taylor expansion of 0.25 in k 8.218 * [backup-simplify]: Simplify 0.25 into 0.25 8.218 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.218 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.218 * [taylor]: Taking taylor expansion of k in k 8.218 * [backup-simplify]: Simplify 0 into 0 8.218 * [backup-simplify]: Simplify 1 into 1 8.218 * [backup-simplify]: Simplify (/ 1 1) into 1 8.218 * [taylor]: Taking taylor expansion of 1.0 in k 8.218 * [backup-simplify]: Simplify 1.0 into 1.0 8.219 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 8.219 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 8.219 * [taylor]: Taking taylor expansion of -2.0 in k 8.219 * [backup-simplify]: Simplify -2.0 into -2.0 8.219 * [taylor]: Taking taylor expansion of (/ PI n) in k 8.219 * [taylor]: Taking taylor expansion of PI in k 8.219 * [backup-simplify]: Simplify PI into PI 8.219 * [taylor]: Taking taylor expansion of n in k 8.219 * [backup-simplify]: Simplify n into n 8.219 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 8.219 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 8.219 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 8.220 * [backup-simplify]: Simplify (+ 1 0) into 1 8.220 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 8.220 * [backup-simplify]: Simplify (* 0.25 (log (* -2.0 (/ PI n)))) into (* 0.25 (log (* -2.0 (/ PI n)))) 8.221 * [backup-simplify]: Simplify (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 8.221 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 8.221 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 8.221 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 8.221 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 8.221 * [taylor]: Taking taylor expansion of 0.25 in n 8.221 * [backup-simplify]: Simplify 0.25 into 0.25 8.221 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.221 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.221 * [taylor]: Taking taylor expansion of k in n 8.221 * [backup-simplify]: Simplify k into k 8.221 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.221 * [taylor]: Taking taylor expansion of 1.0 in n 8.221 * [backup-simplify]: Simplify 1.0 into 1.0 8.221 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 8.221 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.221 * [taylor]: Taking taylor expansion of -2.0 in n 8.221 * [backup-simplify]: Simplify -2.0 into -2.0 8.221 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.221 * [taylor]: Taking taylor expansion of PI in n 8.221 * [backup-simplify]: Simplify PI into PI 8.221 * [taylor]: Taking taylor expansion of n in n 8.221 * [backup-simplify]: Simplify 0 into 0 8.221 * [backup-simplify]: Simplify 1 into 1 8.222 * [backup-simplify]: Simplify (/ PI 1) into PI 8.222 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 8.223 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 8.223 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 8.224 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 8.225 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 8.226 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 8.227 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 8.228 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 8.228 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 8.228 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 8.228 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 8.228 * [taylor]: Taking taylor expansion of 0.25 in n 8.228 * [backup-simplify]: Simplify 0.25 into 0.25 8.228 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.228 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.228 * [taylor]: Taking taylor expansion of k in n 8.228 * [backup-simplify]: Simplify k into k 8.228 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.228 * [taylor]: Taking taylor expansion of 1.0 in n 8.228 * [backup-simplify]: Simplify 1.0 into 1.0 8.228 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 8.228 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.228 * [taylor]: Taking taylor expansion of -2.0 in n 8.228 * [backup-simplify]: Simplify -2.0 into -2.0 8.228 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.228 * [taylor]: Taking taylor expansion of PI in n 8.228 * [backup-simplify]: Simplify PI into PI 8.228 * [taylor]: Taking taylor expansion of n in n 8.228 * [backup-simplify]: Simplify 0 into 0 8.228 * [backup-simplify]: Simplify 1 into 1 8.229 * [backup-simplify]: Simplify (/ PI 1) into PI 8.229 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 8.230 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 8.231 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 8.231 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 8.232 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 8.234 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 8.235 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 8.235 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 8.235 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 8.235 * [taylor]: Taking taylor expansion of 0.25 in k 8.235 * [backup-simplify]: Simplify 0.25 into 0.25 8.235 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 8.235 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.235 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.235 * [taylor]: Taking taylor expansion of k in k 8.235 * [backup-simplify]: Simplify 0 into 0 8.235 * [backup-simplify]: Simplify 1 into 1 8.236 * [backup-simplify]: Simplify (/ 1 1) into 1 8.236 * [taylor]: Taking taylor expansion of 1.0 in k 8.236 * [backup-simplify]: Simplify 1.0 into 1.0 8.236 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 8.236 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 8.236 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 8.236 * [taylor]: Taking taylor expansion of -2.0 in k 8.236 * [backup-simplify]: Simplify -2.0 into -2.0 8.236 * [taylor]: Taking taylor expansion of PI in k 8.236 * [backup-simplify]: Simplify PI into PI 8.236 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 8.237 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 8.237 * [taylor]: Taking taylor expansion of (log n) in k 8.237 * [taylor]: Taking taylor expansion of n in k 8.238 * [backup-simplify]: Simplify n into n 8.238 * [backup-simplify]: Simplify (log n) into (log n) 8.238 * [backup-simplify]: Simplify (+ 1 0) into 1 8.238 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 8.239 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 8.240 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 8.241 * [backup-simplify]: Simplify (* 0.25 (- (log (* -2.0 PI)) (log n))) into (* 0.25 (- (log (* -2.0 PI)) (log n))) 8.243 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 8.244 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 8.245 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.246 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 8.248 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 8.248 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 8.248 * [backup-simplify]: Simplify (+ 0 0) into 0 8.249 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (+ (/ 1 k) 1.0))) into 0 8.250 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 8.252 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 8.254 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 8.254 * [taylor]: Taking taylor expansion of 0 in k 8.254 * [backup-simplify]: Simplify 0 into 0 8.254 * [backup-simplify]: Simplify 0 into 0 8.254 * [backup-simplify]: Simplify 0 into 0 8.255 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.256 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 8.260 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0 8.260 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.260 * [backup-simplify]: Simplify (+ 0 0) into 0 8.261 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 8.263 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 8.264 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 8.267 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.267 * [taylor]: Taking taylor expansion of 0 in k 8.267 * [backup-simplify]: Simplify 0 into 0 8.267 * [backup-simplify]: Simplify 0 into 0 8.267 * [backup-simplify]: Simplify 0 into 0 8.267 * [backup-simplify]: Simplify 0 into 0 8.268 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.269 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.275 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2.0 PI) 1)))) 6) into 0 8.276 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.276 * [backup-simplify]: Simplify (+ 0 0) into 0 8.277 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 8.279 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 8.281 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 8.284 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 8.284 * [taylor]: Taking taylor expansion of 0 in k 8.284 * [backup-simplify]: Simplify 0 into 0 8.284 * [backup-simplify]: Simplify 0 into 0 8.285 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))) into (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 8.285 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 8.286 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) into (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 8.286 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0 8.286 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 8.286 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 8.286 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 8.286 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 8.286 * [taylor]: Taking taylor expansion of 0.25 in k 8.286 * [backup-simplify]: Simplify 0.25 into 0.25 8.286 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.286 * [taylor]: Taking taylor expansion of 1.0 in k 8.286 * [backup-simplify]: Simplify 1.0 into 1.0 8.286 * [taylor]: Taking taylor expansion of k in k 8.286 * [backup-simplify]: Simplify 0 into 0 8.286 * [backup-simplify]: Simplify 1 into 1 8.286 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 8.286 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 8.286 * [taylor]: Taking taylor expansion of 2.0 in k 8.286 * [backup-simplify]: Simplify 2.0 into 2.0 8.287 * [taylor]: Taking taylor expansion of (* n PI) in k 8.287 * [taylor]: Taking taylor expansion of n in k 8.287 * [backup-simplify]: Simplify n into n 8.287 * [taylor]: Taking taylor expansion of PI in k 8.287 * [backup-simplify]: Simplify PI into PI 8.287 * [backup-simplify]: Simplify (* n PI) into (* n PI) 8.287 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 8.287 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 8.287 * [backup-simplify]: Simplify (- 0) into 0 8.288 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.288 * [backup-simplify]: Simplify (* 0.25 1.0) into 0.25 8.288 * [backup-simplify]: Simplify (* 0.25 (log (* 2.0 (* n PI)))) into (* 0.25 (log (* 2.0 (* n PI)))) 8.288 * [backup-simplify]: Simplify (exp (* 0.25 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.25) 8.289 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 8.289 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 8.289 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 8.289 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 8.289 * [taylor]: Taking taylor expansion of 0.25 in n 8.289 * [backup-simplify]: Simplify 0.25 into 0.25 8.289 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 8.289 * [taylor]: Taking taylor expansion of 1.0 in n 8.289 * [backup-simplify]: Simplify 1.0 into 1.0 8.289 * [taylor]: Taking taylor expansion of k in n 8.289 * [backup-simplify]: Simplify k into k 8.289 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 8.289 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.289 * [taylor]: Taking taylor expansion of 2.0 in n 8.289 * [backup-simplify]: Simplify 2.0 into 2.0 8.289 * [taylor]: Taking taylor expansion of (* n PI) in n 8.289 * [taylor]: Taking taylor expansion of n in n 8.289 * [backup-simplify]: Simplify 0 into 0 8.289 * [backup-simplify]: Simplify 1 into 1 8.289 * [taylor]: Taking taylor expansion of PI in n 8.289 * [backup-simplify]: Simplify PI into PI 8.290 * [backup-simplify]: Simplify (* 0 PI) into 0 8.290 * [backup-simplify]: Simplify (* 2.0 0) into 0 8.292 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 8.293 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 8.295 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.295 * [backup-simplify]: Simplify (- k) into (- k) 8.295 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 8.295 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 8.296 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 8.298 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 8.299 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 8.299 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 8.299 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 8.299 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 8.299 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 8.299 * [taylor]: Taking taylor expansion of 0.25 in n 8.299 * [backup-simplify]: Simplify 0.25 into 0.25 8.299 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 8.299 * [taylor]: Taking taylor expansion of 1.0 in n 8.299 * [backup-simplify]: Simplify 1.0 into 1.0 8.299 * [taylor]: Taking taylor expansion of k in n 8.299 * [backup-simplify]: Simplify k into k 8.299 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 8.299 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.299 * [taylor]: Taking taylor expansion of 2.0 in n 8.299 * [backup-simplify]: Simplify 2.0 into 2.0 8.299 * [taylor]: Taking taylor expansion of (* n PI) in n 8.299 * [taylor]: Taking taylor expansion of n in n 8.299 * [backup-simplify]: Simplify 0 into 0 8.299 * [backup-simplify]: Simplify 1 into 1 8.299 * [taylor]: Taking taylor expansion of PI in n 8.299 * [backup-simplify]: Simplify PI into PI 8.300 * [backup-simplify]: Simplify (* 0 PI) into 0 8.300 * [backup-simplify]: Simplify (* 2.0 0) into 0 8.302 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 8.303 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 8.305 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.305 * [backup-simplify]: Simplify (- k) into (- k) 8.305 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 8.305 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 8.306 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 8.312 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 8.314 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 8.314 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 8.314 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 8.314 * [taylor]: Taking taylor expansion of 0.25 in k 8.314 * [backup-simplify]: Simplify 0.25 into 0.25 8.314 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 8.314 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.314 * [taylor]: Taking taylor expansion of 1.0 in k 8.314 * [backup-simplify]: Simplify 1.0 into 1.0 8.314 * [taylor]: Taking taylor expansion of k in k 8.314 * [backup-simplify]: Simplify 0 into 0 8.314 * [backup-simplify]: Simplify 1 into 1 8.314 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 8.314 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.314 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.314 * [taylor]: Taking taylor expansion of 2.0 in k 8.314 * [backup-simplify]: Simplify 2.0 into 2.0 8.314 * [taylor]: Taking taylor expansion of PI in k 8.314 * [backup-simplify]: Simplify PI into PI 8.315 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.315 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.315 * [taylor]: Taking taylor expansion of (log n) in k 8.315 * [taylor]: Taking taylor expansion of n in k 8.315 * [backup-simplify]: Simplify n into n 8.315 * [backup-simplify]: Simplify (log n) into (log n) 8.316 * [backup-simplify]: Simplify (- 0) into 0 8.316 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.317 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 8.317 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 8.318 * [backup-simplify]: Simplify (* 0.25 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.25 (+ (log (* 2.0 PI)) (log n))) 8.319 * [backup-simplify]: Simplify (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 8.319 * [backup-simplify]: Simplify (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 8.320 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 8.321 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 8.322 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 8.322 * [backup-simplify]: Simplify (- 0) into 0 8.322 * [backup-simplify]: Simplify (+ 0 0) into 0 8.322 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 k))) into 0 8.323 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 8.324 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 8.325 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 8.325 * [taylor]: Taking taylor expansion of 0 in k 8.325 * [backup-simplify]: Simplify 0 into 0 8.325 * [backup-simplify]: Simplify 0 into 0 8.326 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 8.327 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 8.327 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 8.327 * [backup-simplify]: Simplify (+ 0 0) into 0 8.328 * [backup-simplify]: Simplify (- 1) into -1 8.328 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.329 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 8.330 * [backup-simplify]: Simplify (+ (* 0.25 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n))))) into (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 8.332 * [backup-simplify]: Simplify (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 1) 1)))) into (* -1 (* (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) 8.334 * [backup-simplify]: Simplify (* -1 (* (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) into (* -1 (* (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) 8.335 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 8.335 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 8.337 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 8.338 * [backup-simplify]: Simplify (- 0) into 0 8.338 * [backup-simplify]: Simplify (+ 0 0) into 0 8.339 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 8.340 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 8.341 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 8.342 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.342 * [taylor]: Taking taylor expansion of 0 in k 8.342 * [backup-simplify]: Simplify 0 into 0 8.342 * [backup-simplify]: Simplify 0 into 0 8.342 * [backup-simplify]: Simplify 0 into 0 8.343 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 8.347 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 8.349 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 8.349 * [backup-simplify]: Simplify (+ 0 0) into 0 8.350 * [backup-simplify]: Simplify (- 0) into 0 8.350 * [backup-simplify]: Simplify (+ 0 0) into 0 8.351 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 8.353 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 8.355 * [backup-simplify]: Simplify (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.03125 (pow (log n) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) 8.358 * [backup-simplify]: Simplify (* (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.03125 (pow (log n) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) into (* (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.03125 (pow (log n) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) 8.365 * [backup-simplify]: Simplify (+ (* (* (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.03125 (pow (log n) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) (* k 1)) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) into (- (+ (* 0.03125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (+ (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.0625 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (* 0.03125 (* (pow k 2) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))))))) (+ (* 0.25 (* k (* (log (* 2.0 PI)) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (* 0.25 (* k (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) 8.365 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 n)) (/ (/ (- 1.0 (/ 1 k)) 2.0) 2)) into (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) 8.365 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 8.365 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 8.365 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 8.365 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 8.365 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 8.365 * [taylor]: Taking taylor expansion of 0.25 in k 8.365 * [backup-simplify]: Simplify 0.25 into 0.25 8.365 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.365 * [taylor]: Taking taylor expansion of 1.0 in k 8.365 * [backup-simplify]: Simplify 1.0 into 1.0 8.365 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.365 * [taylor]: Taking taylor expansion of k in k 8.365 * [backup-simplify]: Simplify 0 into 0 8.365 * [backup-simplify]: Simplify 1 into 1 8.366 * [backup-simplify]: Simplify (/ 1 1) into 1 8.366 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 8.366 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 8.366 * [taylor]: Taking taylor expansion of 2.0 in k 8.366 * [backup-simplify]: Simplify 2.0 into 2.0 8.366 * [taylor]: Taking taylor expansion of (/ PI n) in k 8.366 * [taylor]: Taking taylor expansion of PI in k 8.366 * [backup-simplify]: Simplify PI into PI 8.366 * [taylor]: Taking taylor expansion of n in k 8.366 * [backup-simplify]: Simplify n into n 8.366 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 8.366 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 8.366 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 8.366 * [backup-simplify]: Simplify (- 1) into -1 8.367 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.367 * [backup-simplify]: Simplify (* 0.25 -1) into -0.25 8.367 * [backup-simplify]: Simplify (* -0.25 (log (* 2.0 (/ PI n)))) into (* -0.25 (log (* 2.0 (/ PI n)))) 8.367 * [backup-simplify]: Simplify (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 8.367 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 8.367 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 8.367 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 8.367 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 8.367 * [taylor]: Taking taylor expansion of 0.25 in n 8.367 * [backup-simplify]: Simplify 0.25 into 0.25 8.367 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.367 * [taylor]: Taking taylor expansion of 1.0 in n 8.367 * [backup-simplify]: Simplify 1.0 into 1.0 8.367 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.367 * [taylor]: Taking taylor expansion of k in n 8.367 * [backup-simplify]: Simplify k into k 8.367 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.367 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 8.367 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.367 * [taylor]: Taking taylor expansion of 2.0 in n 8.367 * [backup-simplify]: Simplify 2.0 into 2.0 8.367 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.367 * [taylor]: Taking taylor expansion of PI in n 8.367 * [backup-simplify]: Simplify PI into PI 8.367 * [taylor]: Taking taylor expansion of n in n 8.368 * [backup-simplify]: Simplify 0 into 0 8.368 * [backup-simplify]: Simplify 1 into 1 8.368 * [backup-simplify]: Simplify (/ PI 1) into PI 8.368 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.369 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.369 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 8.369 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 8.369 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 8.370 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 8.371 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 8.371 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 8.372 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 8.372 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 8.372 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 8.372 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 8.372 * [taylor]: Taking taylor expansion of 0.25 in n 8.372 * [backup-simplify]: Simplify 0.25 into 0.25 8.372 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.372 * [taylor]: Taking taylor expansion of 1.0 in n 8.372 * [backup-simplify]: Simplify 1.0 into 1.0 8.372 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.372 * [taylor]: Taking taylor expansion of k in n 8.372 * [backup-simplify]: Simplify k into k 8.372 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.372 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 8.372 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.372 * [taylor]: Taking taylor expansion of 2.0 in n 8.372 * [backup-simplify]: Simplify 2.0 into 2.0 8.372 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.372 * [taylor]: Taking taylor expansion of PI in n 8.372 * [backup-simplify]: Simplify PI into PI 8.372 * [taylor]: Taking taylor expansion of n in n 8.372 * [backup-simplify]: Simplify 0 into 0 8.372 * [backup-simplify]: Simplify 1 into 1 8.372 * [backup-simplify]: Simplify (/ PI 1) into PI 8.373 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.373 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.373 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 8.373 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 8.373 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 8.375 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 8.376 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 8.377 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 8.377 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 8.377 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 8.377 * [taylor]: Taking taylor expansion of 0.25 in k 8.377 * [backup-simplify]: Simplify 0.25 into 0.25 8.377 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 8.377 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 8.378 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.378 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.378 * [taylor]: Taking taylor expansion of 2.0 in k 8.378 * [backup-simplify]: Simplify 2.0 into 2.0 8.378 * [taylor]: Taking taylor expansion of PI in k 8.378 * [backup-simplify]: Simplify PI into PI 8.378 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.379 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.379 * [taylor]: Taking taylor expansion of (log n) in k 8.379 * [taylor]: Taking taylor expansion of n in k 8.379 * [backup-simplify]: Simplify n into n 8.380 * [backup-simplify]: Simplify (log n) into (log n) 8.380 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.380 * [taylor]: Taking taylor expansion of 1.0 in k 8.380 * [backup-simplify]: Simplify 1.0 into 1.0 8.380 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.380 * [taylor]: Taking taylor expansion of k in k 8.380 * [backup-simplify]: Simplify 0 into 0 8.380 * [backup-simplify]: Simplify 1 into 1 8.380 * [backup-simplify]: Simplify (/ 1 1) into 1 8.380 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 8.381 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 8.382 * [backup-simplify]: Simplify (- 1) into -1 8.382 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.383 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 8.384 * [backup-simplify]: Simplify (* 0.25 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.25 (- (log (* 2.0 PI)) (log n))) 8.385 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 8.387 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 8.387 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.388 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 8.390 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 8.390 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 8.391 * [backup-simplify]: Simplify (- 0) into 0 8.391 * [backup-simplify]: Simplify (+ 0 0) into 0 8.392 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 (/ 1 k)))) into 0 8.393 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 8.395 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 8.397 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 8.397 * [taylor]: Taking taylor expansion of 0 in k 8.397 * [backup-simplify]: Simplify 0 into 0 8.397 * [backup-simplify]: Simplify 0 into 0 8.397 * [backup-simplify]: Simplify 0 into 0 8.398 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.398 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 8.401 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 8.401 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.401 * [backup-simplify]: Simplify (- 0) into 0 8.401 * [backup-simplify]: Simplify (+ 0 0) into 0 8.402 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 8.403 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 8.404 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 8.405 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.405 * [taylor]: Taking taylor expansion of 0 in k 8.405 * [backup-simplify]: Simplify 0 into 0 8.405 * [backup-simplify]: Simplify 0 into 0 8.405 * [backup-simplify]: Simplify 0 into 0 8.405 * [backup-simplify]: Simplify 0 into 0 8.406 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.407 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.410 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0 8.410 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.410 * [backup-simplify]: Simplify (- 0) into 0 8.411 * [backup-simplify]: Simplify (+ 0 0) into 0 8.411 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 8.412 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 8.417 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 8.419 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 8.419 * [taylor]: Taking taylor expansion of 0 in k 8.419 * [backup-simplify]: Simplify 0 into 0 8.419 * [backup-simplify]: Simplify 0 into 0 8.419 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) 8.420 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (/ (- 1.0 (/ 1 (- k))) 2.0) 2)) into (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) 8.420 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 8.420 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 8.420 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 8.420 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 8.420 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 8.420 * [taylor]: Taking taylor expansion of 0.25 in k 8.420 * [backup-simplify]: Simplify 0.25 into 0.25 8.420 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.420 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.420 * [taylor]: Taking taylor expansion of k in k 8.420 * [backup-simplify]: Simplify 0 into 0 8.420 * [backup-simplify]: Simplify 1 into 1 8.420 * [backup-simplify]: Simplify (/ 1 1) into 1 8.420 * [taylor]: Taking taylor expansion of 1.0 in k 8.421 * [backup-simplify]: Simplify 1.0 into 1.0 8.421 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 8.421 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 8.421 * [taylor]: Taking taylor expansion of -2.0 in k 8.421 * [backup-simplify]: Simplify -2.0 into -2.0 8.421 * [taylor]: Taking taylor expansion of (/ PI n) in k 8.421 * [taylor]: Taking taylor expansion of PI in k 8.421 * [backup-simplify]: Simplify PI into PI 8.421 * [taylor]: Taking taylor expansion of n in k 8.421 * [backup-simplify]: Simplify n into n 8.421 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 8.421 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 8.421 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 8.421 * [backup-simplify]: Simplify (+ 1 0) into 1 8.421 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 8.422 * [backup-simplify]: Simplify (* 0.25 (log (* -2.0 (/ PI n)))) into (* 0.25 (log (* -2.0 (/ PI n)))) 8.422 * [backup-simplify]: Simplify (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 8.422 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 8.422 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 8.422 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 8.422 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 8.422 * [taylor]: Taking taylor expansion of 0.25 in n 8.422 * [backup-simplify]: Simplify 0.25 into 0.25 8.422 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.422 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.422 * [taylor]: Taking taylor expansion of k in n 8.422 * [backup-simplify]: Simplify k into k 8.422 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.422 * [taylor]: Taking taylor expansion of 1.0 in n 8.422 * [backup-simplify]: Simplify 1.0 into 1.0 8.422 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 8.422 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.422 * [taylor]: Taking taylor expansion of -2.0 in n 8.422 * [backup-simplify]: Simplify -2.0 into -2.0 8.422 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.422 * [taylor]: Taking taylor expansion of PI in n 8.422 * [backup-simplify]: Simplify PI into PI 8.422 * [taylor]: Taking taylor expansion of n in n 8.422 * [backup-simplify]: Simplify 0 into 0 8.422 * [backup-simplify]: Simplify 1 into 1 8.422 * [backup-simplify]: Simplify (/ PI 1) into PI 8.423 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 8.423 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 8.424 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 8.424 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 8.425 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 8.425 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 8.426 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 8.426 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 8.426 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 8.426 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 8.426 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 8.426 * [taylor]: Taking taylor expansion of 0.25 in n 8.426 * [backup-simplify]: Simplify 0.25 into 0.25 8.426 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.427 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.427 * [taylor]: Taking taylor expansion of k in n 8.427 * [backup-simplify]: Simplify k into k 8.427 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.427 * [taylor]: Taking taylor expansion of 1.0 in n 8.427 * [backup-simplify]: Simplify 1.0 into 1.0 8.427 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 8.427 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.427 * [taylor]: Taking taylor expansion of -2.0 in n 8.427 * [backup-simplify]: Simplify -2.0 into -2.0 8.427 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.427 * [taylor]: Taking taylor expansion of PI in n 8.427 * [backup-simplify]: Simplify PI into PI 8.427 * [taylor]: Taking taylor expansion of n in n 8.427 * [backup-simplify]: Simplify 0 into 0 8.427 * [backup-simplify]: Simplify 1 into 1 8.428 * [backup-simplify]: Simplify (/ PI 1) into PI 8.428 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 8.430 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 8.430 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 8.430 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 8.431 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 8.431 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 8.432 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 8.432 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 8.432 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 8.432 * [taylor]: Taking taylor expansion of 0.25 in k 8.432 * [backup-simplify]: Simplify 0.25 into 0.25 8.432 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 8.432 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.432 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.432 * [taylor]: Taking taylor expansion of k in k 8.432 * [backup-simplify]: Simplify 0 into 0 8.433 * [backup-simplify]: Simplify 1 into 1 8.433 * [backup-simplify]: Simplify (/ 1 1) into 1 8.433 * [taylor]: Taking taylor expansion of 1.0 in k 8.433 * [backup-simplify]: Simplify 1.0 into 1.0 8.433 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 8.433 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 8.433 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 8.433 * [taylor]: Taking taylor expansion of -2.0 in k 8.433 * [backup-simplify]: Simplify -2.0 into -2.0 8.433 * [taylor]: Taking taylor expansion of PI in k 8.433 * [backup-simplify]: Simplify PI into PI 8.433 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 8.434 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 8.434 * [taylor]: Taking taylor expansion of (log n) in k 8.434 * [taylor]: Taking taylor expansion of n in k 8.434 * [backup-simplify]: Simplify n into n 8.434 * [backup-simplify]: Simplify (log n) into (log n) 8.434 * [backup-simplify]: Simplify (+ 1 0) into 1 8.434 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 8.435 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 8.436 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 8.436 * [backup-simplify]: Simplify (* 0.25 (- (log (* -2.0 PI)) (log n))) into (* 0.25 (- (log (* -2.0 PI)) (log n))) 8.437 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 8.438 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 8.438 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.439 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 8.440 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 8.440 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 8.440 * [backup-simplify]: Simplify (+ 0 0) into 0 8.441 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (+ (/ 1 k) 1.0))) into 0 8.441 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 8.442 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 8.443 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 8.443 * [taylor]: Taking taylor expansion of 0 in k 8.443 * [backup-simplify]: Simplify 0 into 0 8.444 * [backup-simplify]: Simplify 0 into 0 8.444 * [backup-simplify]: Simplify 0 into 0 8.444 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.445 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 8.447 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0 8.447 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.447 * [backup-simplify]: Simplify (+ 0 0) into 0 8.448 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 8.448 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 8.449 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 8.451 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.451 * [taylor]: Taking taylor expansion of 0 in k 8.451 * [backup-simplify]: Simplify 0 into 0 8.451 * [backup-simplify]: Simplify 0 into 0 8.451 * [backup-simplify]: Simplify 0 into 0 8.451 * [backup-simplify]: Simplify 0 into 0 8.452 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.452 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.456 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2.0 PI) 1)))) 6) into 0 8.456 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.456 * [backup-simplify]: Simplify (+ 0 0) into 0 8.457 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 8.458 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 8.460 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 8.463 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 8.463 * [taylor]: Taking taylor expansion of 0 in k 8.463 * [backup-simplify]: Simplify 0 into 0 8.463 * [backup-simplify]: Simplify 0 into 0 8.464 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))) into (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 8.464 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 8.465 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 8.465 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 8.465 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 8.465 * [taylor]: Taking taylor expansion of 1.0 in k 8.465 * [backup-simplify]: Simplify 1.0 into 1.0 8.465 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.465 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.465 * [taylor]: Taking taylor expansion of k in k 8.465 * [backup-simplify]: Simplify 0 into 0 8.465 * [backup-simplify]: Simplify 1 into 1 8.465 * [backup-simplify]: Simplify (/ 1 1) into 1 8.466 * [backup-simplify]: Simplify (sqrt 0) into 0 8.467 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.467 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 8.467 * [taylor]: Taking taylor expansion of 1.0 in k 8.467 * [backup-simplify]: Simplify 1.0 into 1.0 8.467 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.467 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.467 * [taylor]: Taking taylor expansion of k in k 8.467 * [backup-simplify]: Simplify 0 into 0 8.467 * [backup-simplify]: Simplify 1 into 1 8.468 * [backup-simplify]: Simplify (/ 1 1) into 1 8.468 * [backup-simplify]: Simplify (sqrt 0) into 0 8.469 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.470 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.470 * [backup-simplify]: Simplify 0 into 0 8.471 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 8.472 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.475 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.477 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 8.478 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.482 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.485 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 8.485 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.486 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 8.487 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 8.487 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 8.487 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 8.487 * [taylor]: Taking taylor expansion of 1.0 in k 8.487 * [backup-simplify]: Simplify 1.0 into 1.0 8.487 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.487 * [taylor]: Taking taylor expansion of k in k 8.487 * [backup-simplify]: Simplify 0 into 0 8.487 * [backup-simplify]: Simplify 1 into 1 8.487 * [backup-simplify]: Simplify (sqrt 0) into 0 8.488 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.489 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 8.489 * [taylor]: Taking taylor expansion of 1.0 in k 8.489 * [backup-simplify]: Simplify 1.0 into 1.0 8.489 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.489 * [taylor]: Taking taylor expansion of k in k 8.489 * [backup-simplify]: Simplify 0 into 0 8.489 * [backup-simplify]: Simplify 1 into 1 8.489 * [backup-simplify]: Simplify (sqrt 0) into 0 8.490 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.491 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.491 * [backup-simplify]: Simplify 0 into 0 8.492 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 8.493 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.495 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.497 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 8.498 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.501 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.503 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 8.504 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.505 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 k) 3)) (+ (* (- +nan.0) (pow (/ 1 k) 2)) (* (- +nan.0) (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 8.506 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 8.506 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 8.506 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 8.506 * [taylor]: Taking taylor expansion of 1.0 in k 8.506 * [backup-simplify]: Simplify 1.0 into 1.0 8.506 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.506 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.506 * [taylor]: Taking taylor expansion of -1 in k 8.506 * [backup-simplify]: Simplify -1 into -1 8.506 * [taylor]: Taking taylor expansion of k in k 8.506 * [backup-simplify]: Simplify 0 into 0 8.506 * [backup-simplify]: Simplify 1 into 1 8.506 * [backup-simplify]: Simplify (/ -1 1) into -1 8.507 * [backup-simplify]: Simplify (sqrt 0) into 0 8.508 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.509 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 8.509 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 8.509 * [taylor]: Taking taylor expansion of 1.0 in k 8.509 * [backup-simplify]: Simplify 1.0 into 1.0 8.509 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.509 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.509 * [taylor]: Taking taylor expansion of -1 in k 8.509 * [backup-simplify]: Simplify -1 into -1 8.509 * [taylor]: Taking taylor expansion of k in k 8.509 * [backup-simplify]: Simplify 0 into 0 8.509 * [backup-simplify]: Simplify 1 into 1 8.509 * [backup-simplify]: Simplify (/ -1 1) into -1 8.510 * [backup-simplify]: Simplify (sqrt 0) into 0 8.511 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.511 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 8.512 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.513 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.516 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.518 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 8.518 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.520 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.523 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.528 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 8.528 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.530 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 8.530 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 8.530 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 8.530 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 8.530 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.530 * [taylor]: Taking taylor expansion of 2.0 in n 8.530 * [backup-simplify]: Simplify 2.0 into 2.0 8.530 * [taylor]: Taking taylor expansion of (* n PI) in n 8.530 * [taylor]: Taking taylor expansion of n in n 8.530 * [backup-simplify]: Simplify 0 into 0 8.530 * [backup-simplify]: Simplify 1 into 1 8.530 * [taylor]: Taking taylor expansion of PI in n 8.530 * [backup-simplify]: Simplify PI into PI 8.530 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.530 * [taylor]: Taking taylor expansion of 2.0 in n 8.530 * [backup-simplify]: Simplify 2.0 into 2.0 8.530 * [taylor]: Taking taylor expansion of (* n PI) in n 8.531 * [taylor]: Taking taylor expansion of n in n 8.531 * [backup-simplify]: Simplify 0 into 0 8.531 * [backup-simplify]: Simplify 1 into 1 8.531 * [taylor]: Taking taylor expansion of PI in n 8.531 * [backup-simplify]: Simplify PI into PI 8.531 * [backup-simplify]: Simplify (* 0 PI) into 0 8.531 * [backup-simplify]: Simplify (* 2.0 0) into 0 8.531 * [backup-simplify]: Simplify 0 into 0 8.532 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 8.533 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 8.533 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.534 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 8.538 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 8.538 * [backup-simplify]: Simplify 0 into 0 8.539 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 8.540 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 8.540 * [backup-simplify]: Simplify 0 into 0 8.540 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 8.541 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 8.541 * [backup-simplify]: Simplify 0 into 0 8.542 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 8.543 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 8.543 * [backup-simplify]: Simplify 0 into 0 8.544 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 8.545 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 8.545 * [backup-simplify]: Simplify 0 into 0 8.546 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 8.547 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 8.547 * [backup-simplify]: Simplify 0 into 0 8.547 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 8.548 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 8.548 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 8.548 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.548 * [taylor]: Taking taylor expansion of 2.0 in n 8.548 * [backup-simplify]: Simplify 2.0 into 2.0 8.548 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.548 * [taylor]: Taking taylor expansion of PI in n 8.548 * [backup-simplify]: Simplify PI into PI 8.548 * [taylor]: Taking taylor expansion of n in n 8.548 * [backup-simplify]: Simplify 0 into 0 8.548 * [backup-simplify]: Simplify 1 into 1 8.548 * [backup-simplify]: Simplify (/ PI 1) into PI 8.548 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.548 * [taylor]: Taking taylor expansion of 2.0 in n 8.548 * [backup-simplify]: Simplify 2.0 into 2.0 8.548 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.548 * [taylor]: Taking taylor expansion of PI in n 8.548 * [backup-simplify]: Simplify PI into PI 8.548 * [taylor]: Taking taylor expansion of n in n 8.548 * [backup-simplify]: Simplify 0 into 0 8.548 * [backup-simplify]: Simplify 1 into 1 8.549 * [backup-simplify]: Simplify (/ PI 1) into PI 8.549 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.549 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.550 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.550 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 8.550 * [backup-simplify]: Simplify 0 into 0 8.551 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.552 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 8.552 * [backup-simplify]: Simplify 0 into 0 8.552 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.553 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.553 * [backup-simplify]: Simplify 0 into 0 8.553 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.554 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 8.554 * [backup-simplify]: Simplify 0 into 0 8.555 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.556 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 8.556 * [backup-simplify]: Simplify 0 into 0 8.557 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.558 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 8.558 * [backup-simplify]: Simplify 0 into 0 8.558 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 8.559 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 8.559 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 8.559 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.559 * [taylor]: Taking taylor expansion of -2.0 in n 8.559 * [backup-simplify]: Simplify -2.0 into -2.0 8.559 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.559 * [taylor]: Taking taylor expansion of PI in n 8.559 * [backup-simplify]: Simplify PI into PI 8.559 * [taylor]: Taking taylor expansion of n in n 8.559 * [backup-simplify]: Simplify 0 into 0 8.559 * [backup-simplify]: Simplify 1 into 1 8.559 * [backup-simplify]: Simplify (/ PI 1) into PI 8.559 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.559 * [taylor]: Taking taylor expansion of -2.0 in n 8.559 * [backup-simplify]: Simplify -2.0 into -2.0 8.559 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.559 * [taylor]: Taking taylor expansion of PI in n 8.559 * [backup-simplify]: Simplify PI into PI 8.559 * [taylor]: Taking taylor expansion of n in n 8.559 * [backup-simplify]: Simplify 0 into 0 8.559 * [backup-simplify]: Simplify 1 into 1 8.560 * [backup-simplify]: Simplify (/ PI 1) into PI 8.560 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 8.560 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 8.561 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.561 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 8.561 * [backup-simplify]: Simplify 0 into 0 8.562 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.562 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 8.562 * [backup-simplify]: Simplify 0 into 0 8.563 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.564 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.564 * [backup-simplify]: Simplify 0 into 0 8.564 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.565 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 8.565 * [backup-simplify]: Simplify 0 into 0 8.566 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.567 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 8.567 * [backup-simplify]: Simplify 0 into 0 8.569 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.570 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 8.570 * [backup-simplify]: Simplify 0 into 0 8.571 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 8.571 * * * [progress]: simplifying candidates 8.578 * [simplify]: Simplifying: (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ 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2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (+ (* 0.03125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (+ (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.0625 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (* 0.03125 (* (pow k 2) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))))))) (+ (* 0.25 (* k (* (log (* 2.0 PI)) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (* 0.25 (* k (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* 0.03125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (+ (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.0625 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (* 0.03125 (* (pow k 2) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))))))) (+ (* 0.25 (* k (* (log (* 2.0 PI)) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (* 0.25 (* k (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 8.589 * * [simplify]: Extracting # 0 : cost 0 8.589 * * [simplify]: Extracting # 1 : cost 0 8.590 * * [simplify]: Extracting # 2 : cost 0 8.591 * * [simplify]: Extracting # 3 : cost 0 8.592 * * [simplify]: Extracting # 4 : cost 0 8.593 * * [simplify]: Extracting # 5 : cost 0 8.594 * * [simplify]: Extracting # 6 : cost 0 8.595 * * [simplify]: Extracting # 7 : cost 0 8.596 * * [simplify]: Extracting # 8 : cost 0 8.597 * * [simplify]: Extracting # 9 : cost 0 8.598 * * [simplify]: Extracting # 10 : cost 0 8.599 * * [simplify]: Extracting # 11 : cost 0 8.600 * * [simplify]: Extracting # 12 : cost 0 8.601 * * [simplify]: Extracting # 13 : cost 0 8.602 * * [simplify]: Extracting # 14 : cost 0 8.603 * * [simplify]: iteration 0 : 326 enodes (cost 3510 ) 8.744 * * [simplify]: Extracting # 0 : cost 0 8.749 * * [simplify]: Extracting # 1 : cost 0 8.750 * * [simplify]: Extracting # 2 : cost 0 8.751 * * [simplify]: Extracting # 3 : cost 0 8.753 * * [simplify]: Extracting # 4 : cost 0 8.754 * * [simplify]: Extracting # 5 : cost 0 8.756 * * [simplify]: iteration 1 : 839 enodes (cost 3234 ) 9.342 * * [simplify]: Extracting # 0 : cost 0 9.346 * * [simplify]: Extracting # 1 : cost 0 9.349 * * [simplify]: Extracting # 2 : cost 0 9.352 * * [simplify]: Extracting # 3 : cost 0 9.356 * * [simplify]: Extracting # 4 : cost 0 9.362 * * [simplify]: Extracting # 5 : cost 0 9.365 * * [simplify]: iteration 2 : 2444 enodes (cost 3128 ) 10.344 * * [simplify]: Extracting # 0 : cost 0 10.370 * * [simplify]: Extracting # 1 : cost 0 10.384 * * [simplify]: Extracting # 2 : cost 0 10.397 * * [simplify]: Extracting # 3 : cost 0 10.410 * * [simplify]: Extracting # 4 : cost 0 10.424 * * [simplify]: iteration done: 5000 enodes (cost 3080 ) 10.426 * [simplify]: Simplified to: (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (/ (/ (- 1.0 k) 2) 2.0) (/ (/ (- 1.0 k) 2) 2.0) (/ (/ (- 1.0 k) 2) 2.0) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow 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(cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 (* n PI)) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2))) (pow (* 2.0 (* n PI)) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* 2.0 (* PI n)) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow (* 2.0 (* PI n)) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 (* PI n)) (/ (sqrt (- 1.0 k)) (* (cbrt 2) (cbrt 2)))) (pow (* 2.0 (* PI n)) (/ (sqrt (- 1.0 k)) (sqrt 2))) (pow (* 2.0 (* PI n)) (sqrt (- 1.0 k))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 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1.0) (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* 2.0 (* n PI)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* 2.0 (* PI n)) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (* 2.0 (* PI n)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (* 2.0 (* PI n)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (sqrt 2))) (pow (* 2.0 (* PI n)) (- 1.0 k)) (* 2.0 (* PI n)) (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (exp (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 4)) (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 4)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (/ (/ (- 1.0 k) 2) 2.0) (/ (/ (- 1.0 k) 2) 2.0) (/ (/ (- 1.0 k) 2) 2.0) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow (* 2.0 (* n PI)) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow (* 2.0 (* PI n)) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* 2.0 (* PI n)) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow (* 2.0 (* PI n)) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 (* n PI)) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2))) (pow (* 2.0 (* n PI)) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* 2.0 (* PI n)) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow (* 2.0 (* PI n)) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 (* PI n)) (/ (sqrt (- 1.0 k)) (* (cbrt 2) (cbrt 2)))) (pow (* 2.0 (* PI n)) (/ (sqrt (- 1.0 k)) (sqrt 2))) (pow (* 2.0 (* PI n)) (sqrt (- 1.0 k))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* 2.0 (* n PI)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* 2.0 (* PI n)) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (* 2.0 (* PI n)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* 2.0 (* n PI)) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow (* 2.0 (* PI n)) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 (* n PI)) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (pow (* 2.0 (* n PI)) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2))) (pow (* 2.0 (* PI n)) (+ (sqrt 1.0) (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* 2.0 (* n PI)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* 2.0 (* PI n)) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (* 2.0 (* PI n)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (* 2.0 (* PI n)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (sqrt 2))) (pow (* 2.0 (* PI n)) (- 1.0 k)) (* 2.0 (* PI n)) (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (exp (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 4)) (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 4)) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (pow 1.0 3) (* (sqrt k) k)) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt k))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* 2.0 (* PI n)) (* 2.0 (* PI n)) (log (* 2.0 (* PI n))) (log (* 2.0 (* PI n))) (log (* 2.0 (* PI n))) (exp (* (* 2.0 PI) n)) (pow (* 2.0 (* PI n)) 3) (pow (* 2.0 (* PI n)) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* 2.0 (* PI n)) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (- (+ (+ (pow (* 2.0 (* PI n)) 0.25) (* (* 0.0625 (pow k 2)) (* (log (* 2.0 PI)) (* (pow (* 2.0 (* PI n)) 0.25) (log n))))) (* (* (* 0.03125 (pow k 2)) (pow (* 2.0 (* PI n)) 0.25)) (+ (pow (log n) 2) (pow (log (* 2.0 PI)) 2)))) (* (* 0.25 k) (* (pow (* 2.0 (* PI n)) 0.25) (log (* 2.0 (* PI n)))))) (pow (pow (* 2.0 (* PI n)) 0.25) (- 1.0 k)) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (+ (pow (* 2.0 (* PI n)) 0.25) (* (* 0.0625 (pow k 2)) (* (log (* 2.0 PI)) (* (pow (* 2.0 (* PI n)) 0.25) (log n))))) (* (* (* 0.03125 (pow k 2)) (pow (* 2.0 (* PI n)) 0.25)) (+ (pow (log n) 2) (pow (log (* 2.0 PI)) 2)))) (* (* 0.25 k) (* (pow (* 2.0 (* PI n)) 0.25) (log (* 2.0 (* PI n)))))) (pow (pow (* 2.0 (* PI n)) 0.25) (- 1.0 k)) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* +nan.0 (- k (* k k))) +nan.0)) (+ (- (/ +nan.0 k) (/ +nan.0 (pow k 3))) (/ (- +nan.0) (pow k 2))) (+ (/ (- +nan.0) (pow k 2)) (- (/ +nan.0 k) +nan.0)) (* 2.0 (* PI n)) (* 2.0 (* PI n)) (* 2.0 (* PI n)) 10.430 * * * [progress]: adding candidates to table 11.651 * * [progress]: iteration 3 / 4 11.651 * * * [progress]: picking best candidate 11.683 * * * * [pick]: Picked # 11.683 * * * [progress]: localizing error 11.734 * * * [progress]: generating rewritten candidates 11.734 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 11.770 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 11.800 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 11.807 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 2) 11.836 * * * [progress]: generating series expansions 11.837 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 11.837 * [backup-simplify]: Simplify (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 11.837 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 11.837 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 11.837 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 11.837 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 11.837 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 11.837 * [taylor]: Taking taylor expansion of 0.5 in k 11.837 * [backup-simplify]: Simplify 0.5 into 0.5 11.837 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.837 * [taylor]: Taking taylor expansion of 1.0 in k 11.837 * [backup-simplify]: Simplify 1.0 into 1.0 11.837 * [taylor]: Taking taylor expansion of k in k 11.837 * [backup-simplify]: Simplify 0 into 0 11.838 * [backup-simplify]: Simplify 1 into 1 11.838 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 11.838 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 11.838 * [taylor]: Taking taylor expansion of 2.0 in k 11.838 * [backup-simplify]: Simplify 2.0 into 2.0 11.838 * [taylor]: Taking taylor expansion of (* n PI) in k 11.838 * [taylor]: Taking taylor expansion of n in k 11.838 * [backup-simplify]: Simplify n into n 11.838 * [taylor]: Taking taylor expansion of PI in k 11.838 * [backup-simplify]: Simplify PI into PI 11.838 * [backup-simplify]: Simplify (* n PI) into (* n PI) 11.838 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 11.838 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 11.839 * [backup-simplify]: Simplify (- 0) into 0 11.839 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.840 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 11.840 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 11.840 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 11.840 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 11.840 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 11.840 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 11.840 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 11.840 * [taylor]: Taking taylor expansion of 0.5 in n 11.840 * [backup-simplify]: Simplify 0.5 into 0.5 11.841 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 11.841 * [taylor]: Taking taylor expansion of 1.0 in n 11.841 * [backup-simplify]: Simplify 1.0 into 1.0 11.841 * [taylor]: Taking taylor expansion of k in n 11.841 * [backup-simplify]: Simplify k into k 11.841 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 11.841 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 11.841 * [taylor]: Taking taylor expansion of 2.0 in n 11.841 * [backup-simplify]: Simplify 2.0 into 2.0 11.841 * [taylor]: Taking taylor expansion of (* n PI) in n 11.841 * [taylor]: Taking taylor expansion of n in n 11.841 * [backup-simplify]: Simplify 0 into 0 11.841 * [backup-simplify]: Simplify 1 into 1 11.841 * [taylor]: Taking taylor expansion of PI in n 11.841 * [backup-simplify]: Simplify PI into PI 11.842 * [backup-simplify]: Simplify (* 0 PI) into 0 11.842 * [backup-simplify]: Simplify (* 2.0 0) into 0 11.844 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 11.846 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 11.846 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 11.846 * [backup-simplify]: Simplify (- k) into (- k) 11.846 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 11.846 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 11.847 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 11.848 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 11.849 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 11.849 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 11.849 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 11.849 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 11.849 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 11.849 * [taylor]: Taking taylor expansion of 0.5 in n 11.849 * [backup-simplify]: Simplify 0.5 into 0.5 11.849 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 11.849 * [taylor]: Taking taylor expansion of 1.0 in n 11.849 * [backup-simplify]: Simplify 1.0 into 1.0 11.849 * [taylor]: Taking taylor expansion of k in n 11.849 * [backup-simplify]: Simplify k into k 11.849 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 11.849 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 11.849 * [taylor]: Taking taylor expansion of 2.0 in n 11.849 * [backup-simplify]: Simplify 2.0 into 2.0 11.849 * [taylor]: Taking taylor expansion of (* n PI) in n 11.849 * [taylor]: Taking taylor expansion of n in n 11.849 * [backup-simplify]: Simplify 0 into 0 11.849 * [backup-simplify]: Simplify 1 into 1 11.849 * [taylor]: Taking taylor expansion of PI in n 11.849 * [backup-simplify]: Simplify PI into PI 11.849 * [backup-simplify]: Simplify (* 0 PI) into 0 11.850 * [backup-simplify]: Simplify (* 2.0 0) into 0 11.851 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 11.852 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 11.852 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 11.852 * [backup-simplify]: Simplify (- k) into (- k) 11.852 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 11.852 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 11.853 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 11.854 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 11.855 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 11.855 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 11.855 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 11.855 * [taylor]: Taking taylor expansion of 0.5 in k 11.855 * [backup-simplify]: Simplify 0.5 into 0.5 11.855 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 11.855 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.855 * [taylor]: Taking taylor expansion of 1.0 in k 11.855 * [backup-simplify]: Simplify 1.0 into 1.0 11.855 * [taylor]: Taking taylor expansion of k in k 11.855 * [backup-simplify]: Simplify 0 into 0 11.855 * [backup-simplify]: Simplify 1 into 1 11.855 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 11.855 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 11.855 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 11.855 * [taylor]: Taking taylor expansion of 2.0 in k 11.855 * [backup-simplify]: Simplify 2.0 into 2.0 11.855 * [taylor]: Taking taylor expansion of PI in k 11.856 * [backup-simplify]: Simplify PI into PI 11.856 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 11.856 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 11.857 * [taylor]: Taking taylor expansion of (log n) in k 11.857 * [taylor]: Taking taylor expansion of n in k 11.857 * [backup-simplify]: Simplify n into n 11.857 * [backup-simplify]: Simplify (log n) into (log n) 11.857 * [backup-simplify]: Simplify (- 0) into 0 11.857 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.862 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 11.863 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 11.864 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 11.865 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 11.865 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 11.866 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 11.867 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 11.867 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 11.868 * [backup-simplify]: Simplify (- 0) into 0 11.868 * [backup-simplify]: Simplify (+ 0 0) into 0 11.868 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 11.869 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 11.870 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 11.871 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.871 * [taylor]: Taking taylor expansion of 0 in k 11.871 * [backup-simplify]: Simplify 0 into 0 11.871 * [backup-simplify]: Simplify 0 into 0 11.872 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 11.873 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 11.873 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 11.873 * [backup-simplify]: Simplify (+ 0 0) into 0 11.874 * [backup-simplify]: Simplify (- 1) into -1 11.874 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.876 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 11.878 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n))))) into (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 11.882 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 1) 1)))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 11.885 * [backup-simplify]: Simplify (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 11.886 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 11.888 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 11.891 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 11.892 * [backup-simplify]: Simplify (- 0) into 0 11.892 * [backup-simplify]: Simplify (+ 0 0) into 0 11.893 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 11.895 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 11.896 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 11.899 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.899 * [taylor]: Taking taylor expansion of 0 in k 11.899 * [backup-simplify]: Simplify 0 into 0 11.899 * [backup-simplify]: Simplify 0 into 0 11.899 * [backup-simplify]: Simplify 0 into 0 11.900 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 11.904 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 11.906 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 11.907 * [backup-simplify]: Simplify (+ 0 0) into 0 11.908 * [backup-simplify]: Simplify (- 0) into 0 11.908 * [backup-simplify]: Simplify (+ 0 0) into 0 11.910 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 11.913 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 11.917 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 11.923 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 11.934 * [backup-simplify]: Simplify (+ (* (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (* k 1)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) 11.935 * [backup-simplify]: Simplify (pow (* 2.0 (* (/ 1 n) PI)) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) 11.935 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 11.935 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 11.935 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 11.935 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 11.935 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 11.935 * [taylor]: Taking taylor expansion of 0.5 in k 11.935 * [backup-simplify]: Simplify 0.5 into 0.5 11.935 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 11.935 * [taylor]: Taking taylor expansion of 1.0 in k 11.935 * [backup-simplify]: Simplify 1.0 into 1.0 11.935 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.935 * [taylor]: Taking taylor expansion of k in k 11.935 * [backup-simplify]: Simplify 0 into 0 11.935 * [backup-simplify]: Simplify 1 into 1 11.936 * [backup-simplify]: Simplify (/ 1 1) into 1 11.936 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 11.936 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 11.936 * [taylor]: Taking taylor expansion of 2.0 in k 11.936 * [backup-simplify]: Simplify 2.0 into 2.0 11.936 * [taylor]: Taking taylor expansion of (/ PI n) in k 11.936 * [taylor]: Taking taylor expansion of PI in k 11.936 * [backup-simplify]: Simplify PI into PI 11.936 * [taylor]: Taking taylor expansion of n in k 11.936 * [backup-simplify]: Simplify n into n 11.936 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 11.936 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 11.936 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 11.937 * [backup-simplify]: Simplify (- 1) into -1 11.937 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.938 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 11.938 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 11.938 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 11.938 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 11.938 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 11.938 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 11.938 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 11.938 * [taylor]: Taking taylor expansion of 0.5 in n 11.938 * [backup-simplify]: Simplify 0.5 into 0.5 11.938 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 11.938 * [taylor]: Taking taylor expansion of 1.0 in n 11.938 * [backup-simplify]: Simplify 1.0 into 1.0 11.938 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.938 * [taylor]: Taking taylor expansion of k in n 11.939 * [backup-simplify]: Simplify k into k 11.939 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 11.939 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 11.939 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 11.939 * [taylor]: Taking taylor expansion of 2.0 in n 11.939 * [backup-simplify]: Simplify 2.0 into 2.0 11.939 * [taylor]: Taking taylor expansion of (/ PI n) in n 11.939 * [taylor]: Taking taylor expansion of PI in n 11.939 * [backup-simplify]: Simplify PI into PI 11.939 * [taylor]: Taking taylor expansion of n in n 11.939 * [backup-simplify]: Simplify 0 into 0 11.939 * [backup-simplify]: Simplify 1 into 1 11.939 * [backup-simplify]: Simplify (/ PI 1) into PI 11.940 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 11.941 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 11.941 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 11.941 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 11.941 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 11.943 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 11.944 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 11.946 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 11.946 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 11.946 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 11.946 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 11.946 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 11.946 * [taylor]: Taking taylor expansion of 0.5 in n 11.946 * [backup-simplify]: Simplify 0.5 into 0.5 11.946 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 11.946 * [taylor]: Taking taylor expansion of 1.0 in n 11.946 * [backup-simplify]: Simplify 1.0 into 1.0 11.946 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.946 * [taylor]: Taking taylor expansion of k in n 11.946 * [backup-simplify]: Simplify k into k 11.946 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 11.946 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 11.946 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 11.946 * [taylor]: Taking taylor expansion of 2.0 in n 11.946 * [backup-simplify]: Simplify 2.0 into 2.0 11.946 * [taylor]: Taking taylor expansion of (/ PI n) in n 11.946 * [taylor]: Taking taylor expansion of PI in n 11.946 * [backup-simplify]: Simplify PI into PI 11.946 * [taylor]: Taking taylor expansion of n in n 11.946 * [backup-simplify]: Simplify 0 into 0 11.946 * [backup-simplify]: Simplify 1 into 1 11.947 * [backup-simplify]: Simplify (/ PI 1) into PI 11.947 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 11.949 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 11.949 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 11.949 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 11.949 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 11.950 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 11.952 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 11.953 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 11.953 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 11.953 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 11.953 * [taylor]: Taking taylor expansion of 0.5 in k 11.953 * [backup-simplify]: Simplify 0.5 into 0.5 11.953 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 11.953 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 11.953 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 11.953 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 11.953 * [taylor]: Taking taylor expansion of 2.0 in k 11.953 * [backup-simplify]: Simplify 2.0 into 2.0 11.953 * [taylor]: Taking taylor expansion of PI in k 11.953 * [backup-simplify]: Simplify PI into PI 11.954 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 11.955 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 11.955 * [taylor]: Taking taylor expansion of (log n) in k 11.955 * [taylor]: Taking taylor expansion of n in k 11.955 * [backup-simplify]: Simplify n into n 11.955 * [backup-simplify]: Simplify (log n) into (log n) 11.955 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 11.955 * [taylor]: Taking taylor expansion of 1.0 in k 11.955 * [backup-simplify]: Simplify 1.0 into 1.0 11.955 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.955 * [taylor]: Taking taylor expansion of k in k 11.955 * [backup-simplify]: Simplify 0 into 0 11.955 * [backup-simplify]: Simplify 1 into 1 11.956 * [backup-simplify]: Simplify (/ 1 1) into 1 11.956 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 11.957 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 11.958 * [backup-simplify]: Simplify (- 1) into -1 11.958 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.959 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 11.960 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 11.962 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 11.963 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 11.964 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 11.965 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 11.968 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 11.968 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 11.968 * [backup-simplify]: Simplify (- 0) into 0 11.969 * [backup-simplify]: Simplify (+ 0 0) into 0 11.969 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 11.971 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 11.972 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 11.974 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.974 * [taylor]: Taking taylor expansion of 0 in k 11.974 * [backup-simplify]: Simplify 0 into 0 11.974 * [backup-simplify]: Simplify 0 into 0 11.974 * [backup-simplify]: Simplify 0 into 0 11.975 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.976 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 11.980 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 11.980 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 11.981 * [backup-simplify]: Simplify (- 0) into 0 11.981 * [backup-simplify]: Simplify (+ 0 0) into 0 11.982 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 11.983 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 11.985 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 11.988 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.988 * [taylor]: Taking taylor expansion of 0 in k 11.988 * [backup-simplify]: Simplify 0 into 0 11.988 * [backup-simplify]: Simplify 0 into 0 11.988 * [backup-simplify]: Simplify 0 into 0 11.988 * [backup-simplify]: Simplify 0 into 0 11.989 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.990 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 11.997 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0 11.997 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 11.997 * [backup-simplify]: Simplify (- 0) into 0 11.998 * [backup-simplify]: Simplify (+ 0 0) into 0 11.999 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 12.001 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 12.003 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 12.005 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.006 * [taylor]: Taking taylor expansion of 0 in k 12.006 * [backup-simplify]: Simplify 0 into 0 12.006 * [backup-simplify]: Simplify 0 into 0 12.006 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) 12.007 * [backup-simplify]: Simplify (pow (* 2.0 (* (/ 1 (- n)) PI)) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) 12.007 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 12.007 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 12.007 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 12.007 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 12.007 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 12.007 * [taylor]: Taking taylor expansion of 0.5 in k 12.007 * [backup-simplify]: Simplify 0.5 into 0.5 12.007 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 12.007 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.007 * [taylor]: Taking taylor expansion of k in k 12.007 * [backup-simplify]: Simplify 0 into 0 12.007 * [backup-simplify]: Simplify 1 into 1 12.007 * [backup-simplify]: Simplify (/ 1 1) into 1 12.007 * [taylor]: Taking taylor expansion of 1.0 in k 12.007 * [backup-simplify]: Simplify 1.0 into 1.0 12.007 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 12.007 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 12.007 * [taylor]: Taking taylor expansion of -2.0 in k 12.007 * [backup-simplify]: Simplify -2.0 into -2.0 12.007 * [taylor]: Taking taylor expansion of (/ PI n) in k 12.007 * [taylor]: Taking taylor expansion of PI in k 12.007 * [backup-simplify]: Simplify PI into PI 12.007 * [taylor]: Taking taylor expansion of n in k 12.007 * [backup-simplify]: Simplify n into n 12.007 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 12.008 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 12.008 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 12.013 * [backup-simplify]: Simplify (+ 1 0) into 1 12.014 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 12.014 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 12.014 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 12.014 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 12.015 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 12.015 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 12.015 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 12.015 * [taylor]: Taking taylor expansion of 0.5 in n 12.015 * [backup-simplify]: Simplify 0.5 into 0.5 12.015 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 12.015 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.015 * [taylor]: Taking taylor expansion of k in n 12.015 * [backup-simplify]: Simplify k into k 12.015 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.015 * [taylor]: Taking taylor expansion of 1.0 in n 12.015 * [backup-simplify]: Simplify 1.0 into 1.0 12.015 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 12.015 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 12.015 * [taylor]: Taking taylor expansion of -2.0 in n 12.015 * [backup-simplify]: Simplify -2.0 into -2.0 12.015 * [taylor]: Taking taylor expansion of (/ PI n) in n 12.015 * [taylor]: Taking taylor expansion of PI in n 12.015 * [backup-simplify]: Simplify PI into PI 12.015 * [taylor]: Taking taylor expansion of n in n 12.015 * [backup-simplify]: Simplify 0 into 0 12.015 * [backup-simplify]: Simplify 1 into 1 12.015 * [backup-simplify]: Simplify (/ PI 1) into PI 12.016 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 12.016 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 12.016 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 12.016 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 12.017 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 12.018 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 12.019 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 12.019 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 12.019 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 12.019 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 12.019 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 12.019 * [taylor]: Taking taylor expansion of 0.5 in n 12.019 * [backup-simplify]: Simplify 0.5 into 0.5 12.019 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 12.019 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.019 * [taylor]: Taking taylor expansion of k in n 12.019 * [backup-simplify]: Simplify k into k 12.019 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.019 * [taylor]: Taking taylor expansion of 1.0 in n 12.019 * [backup-simplify]: Simplify 1.0 into 1.0 12.019 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 12.019 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 12.019 * [taylor]: Taking taylor expansion of -2.0 in n 12.019 * [backup-simplify]: Simplify -2.0 into -2.0 12.019 * [taylor]: Taking taylor expansion of (/ PI n) in n 12.019 * [taylor]: Taking taylor expansion of PI in n 12.019 * [backup-simplify]: Simplify PI into PI 12.019 * [taylor]: Taking taylor expansion of n in n 12.019 * [backup-simplify]: Simplify 0 into 0 12.019 * [backup-simplify]: Simplify 1 into 1 12.020 * [backup-simplify]: Simplify (/ PI 1) into PI 12.020 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 12.021 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 12.021 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 12.021 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 12.022 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 12.022 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 12.023 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 12.023 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 12.023 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 12.023 * [taylor]: Taking taylor expansion of 0.5 in k 12.023 * [backup-simplify]: Simplify 0.5 into 0.5 12.023 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 12.023 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 12.023 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.023 * [taylor]: Taking taylor expansion of k in k 12.023 * [backup-simplify]: Simplify 0 into 0 12.024 * [backup-simplify]: Simplify 1 into 1 12.024 * [backup-simplify]: Simplify (/ 1 1) into 1 12.024 * [taylor]: Taking taylor expansion of 1.0 in k 12.024 * [backup-simplify]: Simplify 1.0 into 1.0 12.024 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 12.024 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 12.024 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 12.024 * [taylor]: Taking taylor expansion of -2.0 in k 12.024 * [backup-simplify]: Simplify -2.0 into -2.0 12.024 * [taylor]: Taking taylor expansion of PI in k 12.024 * [backup-simplify]: Simplify PI into PI 12.024 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 12.025 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 12.025 * [taylor]: Taking taylor expansion of (log n) in k 12.025 * [taylor]: Taking taylor expansion of n in k 12.025 * [backup-simplify]: Simplify n into n 12.025 * [backup-simplify]: Simplify (log n) into (log n) 12.025 * [backup-simplify]: Simplify (+ 1 0) into 1 12.025 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 12.026 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 12.027 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 12.028 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 12.028 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 12.029 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 12.030 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.030 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 12.031 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 12.031 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 12.032 * [backup-simplify]: Simplify (+ 0 0) into 0 12.032 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 12.033 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 12.034 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 12.036 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 12.036 * [taylor]: Taking taylor expansion of 0 in k 12.036 * [backup-simplify]: Simplify 0 into 0 12.036 * [backup-simplify]: Simplify 0 into 0 12.036 * [backup-simplify]: Simplify 0 into 0 12.037 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.038 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 12.042 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0 12.042 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 12.042 * [backup-simplify]: Simplify (+ 0 0) into 0 12.043 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 12.045 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 12.046 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 12.049 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.049 * [taylor]: Taking taylor expansion of 0 in k 12.049 * [backup-simplify]: Simplify 0 into 0 12.049 * [backup-simplify]: Simplify 0 into 0 12.049 * [backup-simplify]: Simplify 0 into 0 12.049 * [backup-simplify]: Simplify 0 into 0 12.050 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.052 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 12.058 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2.0 PI) 1)))) 6) into 0 12.058 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 12.059 * [backup-simplify]: Simplify (+ 0 0) into 0 12.060 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 12.061 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 12.064 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 12.067 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.067 * [taylor]: Taking taylor expansion of 0 in k 12.067 * [backup-simplify]: Simplify 0 into 0 12.067 * [backup-simplify]: Simplify 0 into 0 12.069 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))) into (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 12.069 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 12.069 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) into (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 12.070 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0 12.070 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 12.070 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 12.070 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 12.070 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 12.070 * [taylor]: Taking taylor expansion of 0.25 in k 12.070 * [backup-simplify]: Simplify 0.25 into 0.25 12.070 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 12.070 * [taylor]: Taking taylor expansion of 1.0 in k 12.070 * [backup-simplify]: Simplify 1.0 into 1.0 12.070 * [taylor]: Taking taylor expansion of k in k 12.070 * [backup-simplify]: Simplify 0 into 0 12.070 * [backup-simplify]: Simplify 1 into 1 12.070 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 12.070 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 12.070 * [taylor]: Taking taylor expansion of 2.0 in k 12.070 * [backup-simplify]: Simplify 2.0 into 2.0 12.070 * [taylor]: Taking taylor expansion of (* n PI) in k 12.070 * [taylor]: Taking taylor expansion of n in k 12.070 * [backup-simplify]: Simplify n into n 12.070 * [taylor]: Taking taylor expansion of PI in k 12.070 * [backup-simplify]: Simplify PI into PI 12.070 * [backup-simplify]: Simplify (* n PI) into (* n PI) 12.070 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 12.071 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 12.071 * [backup-simplify]: Simplify (- 0) into 0 12.071 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 12.072 * [backup-simplify]: Simplify (* 0.25 1.0) into 0.25 12.072 * [backup-simplify]: Simplify (* 0.25 (log (* 2.0 (* n PI)))) into (* 0.25 (log (* 2.0 (* n PI)))) 12.072 * [backup-simplify]: Simplify (exp (* 0.25 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.25) 12.072 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 12.072 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 12.072 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 12.072 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 12.072 * [taylor]: Taking taylor expansion of 0.25 in n 12.072 * [backup-simplify]: Simplify 0.25 into 0.25 12.072 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 12.072 * [taylor]: Taking taylor expansion of 1.0 in n 12.073 * [backup-simplify]: Simplify 1.0 into 1.0 12.073 * [taylor]: Taking taylor expansion of k in n 12.073 * [backup-simplify]: Simplify k into k 12.073 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 12.073 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 12.073 * [taylor]: Taking taylor expansion of 2.0 in n 12.073 * [backup-simplify]: Simplify 2.0 into 2.0 12.073 * [taylor]: Taking taylor expansion of (* n PI) in n 12.073 * [taylor]: Taking taylor expansion of n in n 12.073 * [backup-simplify]: Simplify 0 into 0 12.073 * [backup-simplify]: Simplify 1 into 1 12.073 * [taylor]: Taking taylor expansion of PI in n 12.073 * [backup-simplify]: Simplify PI into PI 12.073 * [backup-simplify]: Simplify (* 0 PI) into 0 12.074 * [backup-simplify]: Simplify (* 2.0 0) into 0 12.075 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 12.077 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 12.079 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.079 * [backup-simplify]: Simplify (- k) into (- k) 12.079 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 12.079 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 12.080 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 12.082 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 12.083 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 12.083 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 12.083 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 12.083 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 12.083 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 12.084 * [taylor]: Taking taylor expansion of 0.25 in n 12.084 * [backup-simplify]: Simplify 0.25 into 0.25 12.084 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 12.084 * [taylor]: Taking taylor expansion of 1.0 in n 12.084 * [backup-simplify]: Simplify 1.0 into 1.0 12.084 * [taylor]: Taking taylor expansion of k in n 12.084 * [backup-simplify]: Simplify k into k 12.084 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 12.084 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 12.084 * [taylor]: Taking taylor expansion of 2.0 in n 12.084 * [backup-simplify]: Simplify 2.0 into 2.0 12.084 * [taylor]: Taking taylor expansion of (* n PI) in n 12.084 * [taylor]: Taking taylor expansion of n in n 12.084 * [backup-simplify]: Simplify 0 into 0 12.084 * [backup-simplify]: Simplify 1 into 1 12.084 * [taylor]: Taking taylor expansion of PI in n 12.084 * [backup-simplify]: Simplify PI into PI 12.085 * [backup-simplify]: Simplify (* 0 PI) into 0 12.085 * [backup-simplify]: Simplify (* 2.0 0) into 0 12.087 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 12.088 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 12.089 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.089 * [backup-simplify]: Simplify (- k) into (- k) 12.090 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 12.090 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 12.091 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 12.092 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 12.094 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 12.094 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 12.094 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 12.094 * [taylor]: Taking taylor expansion of 0.25 in k 12.094 * [backup-simplify]: Simplify 0.25 into 0.25 12.094 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 12.094 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 12.094 * [taylor]: Taking taylor expansion of 1.0 in k 12.094 * [backup-simplify]: Simplify 1.0 into 1.0 12.094 * [taylor]: Taking taylor expansion of k in k 12.094 * [backup-simplify]: Simplify 0 into 0 12.094 * [backup-simplify]: Simplify 1 into 1 12.094 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 12.094 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 12.094 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 12.094 * [taylor]: Taking taylor expansion of 2.0 in k 12.094 * [backup-simplify]: Simplify 2.0 into 2.0 12.094 * [taylor]: Taking taylor expansion of PI in k 12.094 * [backup-simplify]: Simplify PI into PI 12.095 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.096 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.096 * [taylor]: Taking taylor expansion of (log n) in k 12.096 * [taylor]: Taking taylor expansion of n in k 12.096 * [backup-simplify]: Simplify n into n 12.096 * [backup-simplify]: Simplify (log n) into (log n) 12.097 * [backup-simplify]: Simplify (- 0) into 0 12.097 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 12.098 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 12.099 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 12.101 * [backup-simplify]: Simplify (* 0.25 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.25 (+ (log (* 2.0 PI)) (log n))) 12.102 * [backup-simplify]: Simplify (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 12.103 * [backup-simplify]: Simplify (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 12.104 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 12.105 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 12.107 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 12.108 * [backup-simplify]: Simplify (- 0) into 0 12.108 * [backup-simplify]: Simplify (+ 0 0) into 0 12.109 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 k))) into 0 12.110 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 12.111 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 12.113 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 12.113 * [taylor]: Taking taylor expansion of 0 in k 12.113 * [backup-simplify]: Simplify 0 into 0 12.113 * [backup-simplify]: Simplify 0 into 0 12.114 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 12.116 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 12.117 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 12.117 * [backup-simplify]: Simplify (+ 0 0) into 0 12.118 * [backup-simplify]: Simplify (- 1) into -1 12.118 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.120 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 12.122 * [backup-simplify]: Simplify (+ (* 0.25 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n))))) into (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 12.126 * [backup-simplify]: Simplify (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 1) 1)))) into (* -1 (* (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) 12.130 * [backup-simplify]: Simplify (* -1 (* (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) into (* -1 (* (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) 12.131 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 12.131 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 12.133 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 12.133 * [backup-simplify]: Simplify (- 0) into 0 12.134 * [backup-simplify]: Simplify (+ 0 0) into 0 12.134 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 12.135 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 12.136 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 12.138 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.138 * [taylor]: Taking taylor expansion of 0 in k 12.138 * [backup-simplify]: Simplify 0 into 0 12.138 * [backup-simplify]: Simplify 0 into 0 12.138 * [backup-simplify]: Simplify 0 into 0 12.139 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 12.141 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 12.142 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 12.142 * [backup-simplify]: Simplify (+ 0 0) into 0 12.142 * [backup-simplify]: Simplify (- 0) into 0 12.143 * [backup-simplify]: Simplify (+ 0 0) into 0 12.144 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 12.145 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 12.153 * [backup-simplify]: Simplify (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.03125 (pow (log n) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) 12.157 * [backup-simplify]: Simplify (* (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.03125 (pow (log n) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) into (* (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.03125 (pow (log n) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) 12.166 * [backup-simplify]: Simplify (+ (* (* (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.03125 (pow (log n) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) (* k 1)) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) into (- (+ (* 0.03125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (+ (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.0625 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (* 0.03125 (* (pow k 2) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))))))) (+ (* 0.25 (* k (* (log (* 2.0 PI)) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (* 0.25 (* k (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) 12.168 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 n)) (/ (/ (- 1.0 (/ 1 k)) 2.0) 2)) into (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) 12.168 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 12.168 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 12.168 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 12.168 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 12.168 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 12.168 * [taylor]: Taking taylor expansion of 0.25 in k 12.168 * [backup-simplify]: Simplify 0.25 into 0.25 12.168 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 12.168 * [taylor]: Taking taylor expansion of 1.0 in k 12.168 * [backup-simplify]: Simplify 1.0 into 1.0 12.168 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.168 * [taylor]: Taking taylor expansion of k in k 12.168 * [backup-simplify]: Simplify 0 into 0 12.168 * [backup-simplify]: Simplify 1 into 1 12.168 * [backup-simplify]: Simplify (/ 1 1) into 1 12.168 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 12.169 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 12.169 * [taylor]: Taking taylor expansion of 2.0 in k 12.169 * [backup-simplify]: Simplify 2.0 into 2.0 12.169 * [taylor]: Taking taylor expansion of (/ PI n) in k 12.169 * [taylor]: Taking taylor expansion of PI in k 12.169 * [backup-simplify]: Simplify PI into PI 12.169 * [taylor]: Taking taylor expansion of n in k 12.169 * [backup-simplify]: Simplify n into n 12.169 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 12.169 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 12.169 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 12.169 * [backup-simplify]: Simplify (- 1) into -1 12.170 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.170 * [backup-simplify]: Simplify (* 0.25 -1) into -0.25 12.170 * [backup-simplify]: Simplify (* -0.25 (log (* 2.0 (/ PI n)))) into (* -0.25 (log (* 2.0 (/ PI n)))) 12.171 * [backup-simplify]: Simplify (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 12.171 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 12.171 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 12.171 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 12.171 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 12.171 * [taylor]: Taking taylor expansion of 0.25 in n 12.171 * [backup-simplify]: Simplify 0.25 into 0.25 12.171 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 12.171 * [taylor]: Taking taylor expansion of 1.0 in n 12.171 * [backup-simplify]: Simplify 1.0 into 1.0 12.171 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.171 * [taylor]: Taking taylor expansion of k in n 12.171 * [backup-simplify]: Simplify k into k 12.171 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.171 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 12.171 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 12.171 * [taylor]: Taking taylor expansion of 2.0 in n 12.171 * [backup-simplify]: Simplify 2.0 into 2.0 12.171 * [taylor]: Taking taylor expansion of (/ PI n) in n 12.171 * [taylor]: Taking taylor expansion of PI in n 12.171 * [backup-simplify]: Simplify PI into PI 12.171 * [taylor]: Taking taylor expansion of n in n 12.171 * [backup-simplify]: Simplify 0 into 0 12.172 * [backup-simplify]: Simplify 1 into 1 12.172 * [backup-simplify]: Simplify (/ PI 1) into PI 12.173 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.174 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.174 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 12.174 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 12.174 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 12.175 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 12.177 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 12.178 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 12.178 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 12.178 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 12.178 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 12.178 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 12.178 * [taylor]: Taking taylor expansion of 0.25 in n 12.178 * [backup-simplify]: Simplify 0.25 into 0.25 12.178 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 12.178 * [taylor]: Taking taylor expansion of 1.0 in n 12.178 * [backup-simplify]: Simplify 1.0 into 1.0 12.178 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.178 * [taylor]: Taking taylor expansion of k in n 12.178 * [backup-simplify]: Simplify k into k 12.179 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.179 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 12.179 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 12.179 * [taylor]: Taking taylor expansion of 2.0 in n 12.179 * [backup-simplify]: Simplify 2.0 into 2.0 12.179 * [taylor]: Taking taylor expansion of (/ PI n) in n 12.179 * [taylor]: Taking taylor expansion of PI in n 12.179 * [backup-simplify]: Simplify PI into PI 12.179 * [taylor]: Taking taylor expansion of n in n 12.179 * [backup-simplify]: Simplify 0 into 0 12.179 * [backup-simplify]: Simplify 1 into 1 12.179 * [backup-simplify]: Simplify (/ PI 1) into PI 12.180 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.181 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.181 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 12.181 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 12.181 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 12.183 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 12.184 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 12.185 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 12.185 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 12.185 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 12.185 * [taylor]: Taking taylor expansion of 0.25 in k 12.185 * [backup-simplify]: Simplify 0.25 into 0.25 12.186 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 12.186 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 12.186 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 12.186 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 12.186 * [taylor]: Taking taylor expansion of 2.0 in k 12.186 * [backup-simplify]: Simplify 2.0 into 2.0 12.186 * [taylor]: Taking taylor expansion of PI in k 12.186 * [backup-simplify]: Simplify PI into PI 12.186 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.188 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.188 * [taylor]: Taking taylor expansion of (log n) in k 12.188 * [taylor]: Taking taylor expansion of n in k 12.188 * [backup-simplify]: Simplify n into n 12.188 * [backup-simplify]: Simplify (log n) into (log n) 12.188 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 12.188 * [taylor]: Taking taylor expansion of 1.0 in k 12.188 * [backup-simplify]: Simplify 1.0 into 1.0 12.188 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.188 * [taylor]: Taking taylor expansion of k in k 12.188 * [backup-simplify]: Simplify 0 into 0 12.188 * [backup-simplify]: Simplify 1 into 1 12.188 * [backup-simplify]: Simplify (/ 1 1) into 1 12.189 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 12.190 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 12.190 * [backup-simplify]: Simplify (- 1) into -1 12.191 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.192 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 12.193 * [backup-simplify]: Simplify (* 0.25 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.25 (- (log (* 2.0 PI)) (log n))) 12.194 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 12.196 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 12.197 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.197 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 12.199 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 12.200 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 12.200 * [backup-simplify]: Simplify (- 0) into 0 12.201 * [backup-simplify]: Simplify (+ 0 0) into 0 12.201 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 (/ 1 k)))) into 0 12.203 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 12.204 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 12.206 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 12.206 * [taylor]: Taking taylor expansion of 0 in k 12.206 * [backup-simplify]: Simplify 0 into 0 12.206 * [backup-simplify]: Simplify 0 into 0 12.206 * [backup-simplify]: Simplify 0 into 0 12.208 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.209 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 12.212 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 12.213 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 12.213 * [backup-simplify]: Simplify (- 0) into 0 12.213 * [backup-simplify]: Simplify (+ 0 0) into 0 12.214 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 12.216 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 12.218 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 12.220 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.220 * [taylor]: Taking taylor expansion of 0 in k 12.220 * [backup-simplify]: Simplify 0 into 0 12.220 * [backup-simplify]: Simplify 0 into 0 12.220 * [backup-simplify]: Simplify 0 into 0 12.220 * [backup-simplify]: Simplify 0 into 0 12.221 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.222 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 12.225 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0 12.226 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 12.226 * [backup-simplify]: Simplify (- 0) into 0 12.226 * [backup-simplify]: Simplify (+ 0 0) into 0 12.227 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 12.228 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 12.229 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 12.231 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.231 * [taylor]: Taking taylor expansion of 0 in k 12.231 * [backup-simplify]: Simplify 0 into 0 12.231 * [backup-simplify]: Simplify 0 into 0 12.232 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) 12.232 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (/ (- 1.0 (/ 1 (- k))) 2.0) 2)) into (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) 12.232 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 12.232 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 12.232 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 12.232 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 12.232 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 12.232 * [taylor]: Taking taylor expansion of 0.25 in k 12.232 * [backup-simplify]: Simplify 0.25 into 0.25 12.232 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 12.232 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.232 * [taylor]: Taking taylor expansion of k in k 12.232 * [backup-simplify]: Simplify 0 into 0 12.232 * [backup-simplify]: Simplify 1 into 1 12.233 * [backup-simplify]: Simplify (/ 1 1) into 1 12.233 * [taylor]: Taking taylor expansion of 1.0 in k 12.233 * [backup-simplify]: Simplify 1.0 into 1.0 12.233 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 12.233 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 12.233 * [taylor]: Taking taylor expansion of -2.0 in k 12.233 * [backup-simplify]: Simplify -2.0 into -2.0 12.233 * [taylor]: Taking taylor expansion of (/ PI n) in k 12.233 * [taylor]: Taking taylor expansion of PI in k 12.233 * [backup-simplify]: Simplify PI into PI 12.233 * [taylor]: Taking taylor expansion of n in k 12.233 * [backup-simplify]: Simplify n into n 12.233 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 12.233 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 12.233 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 12.233 * [backup-simplify]: Simplify (+ 1 0) into 1 12.234 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 12.234 * [backup-simplify]: Simplify (* 0.25 (log (* -2.0 (/ PI n)))) into (* 0.25 (log (* -2.0 (/ PI n)))) 12.234 * [backup-simplify]: Simplify (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 12.234 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 12.234 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 12.234 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 12.234 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 12.234 * [taylor]: Taking taylor expansion of 0.25 in n 12.234 * [backup-simplify]: Simplify 0.25 into 0.25 12.234 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 12.234 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.234 * [taylor]: Taking taylor expansion of k in n 12.234 * [backup-simplify]: Simplify k into k 12.234 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.234 * [taylor]: Taking taylor expansion of 1.0 in n 12.234 * [backup-simplify]: Simplify 1.0 into 1.0 12.234 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 12.234 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 12.234 * [taylor]: Taking taylor expansion of -2.0 in n 12.234 * [backup-simplify]: Simplify -2.0 into -2.0 12.234 * [taylor]: Taking taylor expansion of (/ PI n) in n 12.234 * [taylor]: Taking taylor expansion of PI in n 12.234 * [backup-simplify]: Simplify PI into PI 12.234 * [taylor]: Taking taylor expansion of n in n 12.234 * [backup-simplify]: Simplify 0 into 0 12.234 * [backup-simplify]: Simplify 1 into 1 12.235 * [backup-simplify]: Simplify (/ PI 1) into PI 12.235 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 12.236 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 12.236 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 12.236 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 12.237 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 12.237 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 12.238 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 12.238 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 12.238 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 12.238 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 12.238 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 12.238 * [taylor]: Taking taylor expansion of 0.25 in n 12.238 * [backup-simplify]: Simplify 0.25 into 0.25 12.238 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 12.238 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.238 * [taylor]: Taking taylor expansion of k in n 12.238 * [backup-simplify]: Simplify k into k 12.239 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.239 * [taylor]: Taking taylor expansion of 1.0 in n 12.239 * [backup-simplify]: Simplify 1.0 into 1.0 12.239 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 12.239 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 12.239 * [taylor]: Taking taylor expansion of -2.0 in n 12.239 * [backup-simplify]: Simplify -2.0 into -2.0 12.239 * [taylor]: Taking taylor expansion of (/ PI n) in n 12.239 * [taylor]: Taking taylor expansion of PI in n 12.239 * [backup-simplify]: Simplify PI into PI 12.239 * [taylor]: Taking taylor expansion of n in n 12.239 * [backup-simplify]: Simplify 0 into 0 12.239 * [backup-simplify]: Simplify 1 into 1 12.239 * [backup-simplify]: Simplify (/ PI 1) into PI 12.239 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 12.240 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 12.240 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 12.240 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 12.241 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 12.242 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 12.243 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 12.243 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 12.243 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 12.243 * [taylor]: Taking taylor expansion of 0.25 in k 12.243 * [backup-simplify]: Simplify 0.25 into 0.25 12.243 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 12.243 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 12.243 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.243 * [taylor]: Taking taylor expansion of k in k 12.243 * [backup-simplify]: Simplify 0 into 0 12.243 * [backup-simplify]: Simplify 1 into 1 12.243 * [backup-simplify]: Simplify (/ 1 1) into 1 12.243 * [taylor]: Taking taylor expansion of 1.0 in k 12.243 * [backup-simplify]: Simplify 1.0 into 1.0 12.243 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 12.243 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 12.243 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 12.243 * [taylor]: Taking taylor expansion of -2.0 in k 12.243 * [backup-simplify]: Simplify -2.0 into -2.0 12.243 * [taylor]: Taking taylor expansion of PI in k 12.243 * [backup-simplify]: Simplify PI into PI 12.244 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 12.244 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 12.244 * [taylor]: Taking taylor expansion of (log n) in k 12.244 * [taylor]: Taking taylor expansion of n in k 12.244 * [backup-simplify]: Simplify n into n 12.244 * [backup-simplify]: Simplify (log n) into (log n) 12.245 * [backup-simplify]: Simplify (+ 1 0) into 1 12.245 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 12.245 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 12.246 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 12.247 * [backup-simplify]: Simplify (* 0.25 (- (log (* -2.0 PI)) (log n))) into (* 0.25 (- (log (* -2.0 PI)) (log n))) 12.248 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 12.249 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 12.249 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.250 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 12.251 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 12.252 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 12.252 * [backup-simplify]: Simplify (+ 0 0) into 0 12.253 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (+ (/ 1 k) 1.0))) into 0 12.254 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 12.255 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 12.258 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 12.258 * [taylor]: Taking taylor expansion of 0 in k 12.258 * [backup-simplify]: Simplify 0 into 0 12.258 * [backup-simplify]: Simplify 0 into 0 12.258 * [backup-simplify]: Simplify 0 into 0 12.259 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.260 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 12.263 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0 12.264 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 12.264 * [backup-simplify]: Simplify (+ 0 0) into 0 12.265 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 12.266 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 12.268 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 12.271 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.271 * [taylor]: Taking taylor expansion of 0 in k 12.271 * [backup-simplify]: Simplify 0 into 0 12.271 * [backup-simplify]: Simplify 0 into 0 12.271 * [backup-simplify]: Simplify 0 into 0 12.271 * [backup-simplify]: Simplify 0 into 0 12.272 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.273 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 12.280 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2.0 PI) 1)))) 6) into 0 12.280 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 12.280 * [backup-simplify]: Simplify (+ 0 0) into 0 12.282 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 12.290 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 12.292 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 12.293 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.293 * [taylor]: Taking taylor expansion of 0 in k 12.293 * [backup-simplify]: Simplify 0 into 0 12.293 * [backup-simplify]: Simplify 0 into 0 12.294 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))) into (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 12.294 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 12.295 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 12.295 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 12.295 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 12.295 * [taylor]: Taking taylor expansion of 1.0 in k 12.295 * [backup-simplify]: Simplify 1.0 into 1.0 12.295 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 12.295 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.295 * [taylor]: Taking taylor expansion of k in k 12.295 * [backup-simplify]: Simplify 0 into 0 12.295 * [backup-simplify]: Simplify 1 into 1 12.295 * [backup-simplify]: Simplify (/ 1 1) into 1 12.295 * [backup-simplify]: Simplify (sqrt 0) into 0 12.296 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.296 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 12.296 * [taylor]: Taking taylor expansion of 1.0 in k 12.296 * [backup-simplify]: Simplify 1.0 into 1.0 12.296 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 12.296 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.296 * [taylor]: Taking taylor expansion of k in k 12.296 * [backup-simplify]: Simplify 0 into 0 12.296 * [backup-simplify]: Simplify 1 into 1 12.297 * [backup-simplify]: Simplify (/ 1 1) into 1 12.297 * [backup-simplify]: Simplify (sqrt 0) into 0 12.298 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.298 * [backup-simplify]: Simplify (* 1.0 0) into 0 12.298 * [backup-simplify]: Simplify 0 into 0 12.299 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 12.299 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.302 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.303 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 12.303 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.306 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.307 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 12.308 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.309 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 12.309 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 12.309 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 12.309 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 12.309 * [taylor]: Taking taylor expansion of 1.0 in k 12.309 * [backup-simplify]: Simplify 1.0 into 1.0 12.309 * [taylor]: Taking taylor expansion of (sqrt k) in k 12.309 * [taylor]: Taking taylor expansion of k in k 12.309 * [backup-simplify]: Simplify 0 into 0 12.309 * [backup-simplify]: Simplify 1 into 1 12.309 * [backup-simplify]: Simplify (sqrt 0) into 0 12.310 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.310 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 12.310 * [taylor]: Taking taylor expansion of 1.0 in k 12.310 * [backup-simplify]: Simplify 1.0 into 1.0 12.310 * [taylor]: Taking taylor expansion of (sqrt k) in k 12.310 * [taylor]: Taking taylor expansion of k in k 12.310 * [backup-simplify]: Simplify 0 into 0 12.310 * [backup-simplify]: Simplify 1 into 1 12.310 * [backup-simplify]: Simplify (sqrt 0) into 0 12.311 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.311 * [backup-simplify]: Simplify (* 1.0 0) into 0 12.311 * [backup-simplify]: Simplify 0 into 0 12.312 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 12.312 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.314 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.315 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 12.316 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.318 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.320 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 12.320 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.322 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 k) 3)) (+ (* (- +nan.0) (pow (/ 1 k) 2)) (* (- +nan.0) (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 12.322 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 12.322 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 12.322 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 12.322 * [taylor]: Taking taylor expansion of 1.0 in k 12.322 * [backup-simplify]: Simplify 1.0 into 1.0 12.323 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 12.323 * [taylor]: Taking taylor expansion of (/ -1 k) in k 12.323 * [taylor]: Taking taylor expansion of -1 in k 12.323 * [backup-simplify]: Simplify -1 into -1 12.323 * [taylor]: Taking taylor expansion of k in k 12.323 * [backup-simplify]: Simplify 0 into 0 12.323 * [backup-simplify]: Simplify 1 into 1 12.323 * [backup-simplify]: Simplify (/ -1 1) into -1 12.324 * [backup-simplify]: Simplify (sqrt 0) into 0 12.325 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 12.325 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 12.325 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 12.325 * [taylor]: Taking taylor expansion of 1.0 in k 12.325 * [backup-simplify]: Simplify 1.0 into 1.0 12.325 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 12.326 * [taylor]: Taking taylor expansion of (/ -1 k) in k 12.326 * [taylor]: Taking taylor expansion of -1 in k 12.326 * [backup-simplify]: Simplify -1 into -1 12.326 * [taylor]: Taking taylor expansion of k in k 12.326 * [backup-simplify]: Simplify 0 into 0 12.326 * [backup-simplify]: Simplify 1 into 1 12.326 * [backup-simplify]: Simplify (/ -1 1) into -1 12.327 * [backup-simplify]: Simplify (sqrt 0) into 0 12.328 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 12.328 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 12.328 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.329 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.332 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.335 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 12.336 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.337 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.341 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.346 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 12.346 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.347 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 12.347 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 2) 12.347 * [backup-simplify]: Simplify (* n PI) into (* n PI) 12.347 * [approximate]: Taking taylor expansion of (* n PI) in (n) around 0 12.347 * [taylor]: Taking taylor expansion of (* n PI) in n 12.347 * [taylor]: Taking taylor expansion of n in n 12.347 * [backup-simplify]: Simplify 0 into 0 12.347 * [backup-simplify]: Simplify 1 into 1 12.347 * [taylor]: Taking taylor expansion of PI in n 12.347 * [backup-simplify]: Simplify PI into PI 12.347 * [taylor]: Taking taylor expansion of (* n PI) in n 12.347 * [taylor]: Taking taylor expansion of n in n 12.347 * [backup-simplify]: Simplify 0 into 0 12.347 * [backup-simplify]: Simplify 1 into 1 12.347 * [taylor]: Taking taylor expansion of PI in n 12.347 * [backup-simplify]: Simplify PI into PI 12.347 * [backup-simplify]: Simplify (* 0 PI) into 0 12.347 * [backup-simplify]: Simplify 0 into 0 12.349 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 12.349 * [backup-simplify]: Simplify PI into PI 12.349 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 12.349 * [backup-simplify]: Simplify 0 into 0 12.350 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 12.350 * [backup-simplify]: Simplify 0 into 0 12.351 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 12.351 * [backup-simplify]: Simplify 0 into 0 12.352 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 12.352 * [backup-simplify]: Simplify 0 into 0 12.353 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 12.353 * [backup-simplify]: Simplify 0 into 0 12.354 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 12.354 * [backup-simplify]: Simplify 0 into 0 12.354 * [backup-simplify]: Simplify (* PI n) into (* n PI) 12.354 * [backup-simplify]: Simplify (* (/ 1 n) PI) into (/ PI n) 12.354 * [approximate]: Taking taylor expansion of (/ PI n) in (n) around 0 12.354 * [taylor]: Taking taylor expansion of (/ PI n) in n 12.355 * [taylor]: Taking taylor expansion of PI in n 12.355 * [backup-simplify]: Simplify PI into PI 12.355 * [taylor]: Taking taylor expansion of n in n 12.355 * [backup-simplify]: Simplify 0 into 0 12.355 * [backup-simplify]: Simplify 1 into 1 12.355 * [backup-simplify]: Simplify (/ PI 1) into PI 12.355 * [taylor]: Taking taylor expansion of (/ PI n) in n 12.355 * [taylor]: Taking taylor expansion of PI in n 12.355 * [backup-simplify]: Simplify PI into PI 12.355 * [taylor]: Taking taylor expansion of n in n 12.355 * [backup-simplify]: Simplify 0 into 0 12.355 * [backup-simplify]: Simplify 1 into 1 12.355 * [backup-simplify]: Simplify (/ PI 1) into PI 12.355 * [backup-simplify]: Simplify PI into PI 12.356 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.356 * [backup-simplify]: Simplify 0 into 0 12.357 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.357 * [backup-simplify]: Simplify 0 into 0 12.357 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.357 * [backup-simplify]: Simplify 0 into 0 12.358 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.358 * [backup-simplify]: Simplify 0 into 0 12.359 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.359 * [backup-simplify]: Simplify 0 into 0 12.359 * [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 12.359 * [backup-simplify]: Simplify 0 into 0 12.359 * [backup-simplify]: Simplify (* PI (/ 1 (/ 1 n))) into (* n PI) 12.360 * [backup-simplify]: Simplify (* (/ 1 (- n)) PI) into (* -1 (/ PI n)) 12.360 * [approximate]: Taking taylor expansion of (* -1 (/ PI n)) in (n) around 0 12.360 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 12.360 * [taylor]: Taking taylor expansion of -1 in n 12.360 * [backup-simplify]: Simplify -1 into -1 12.360 * [taylor]: Taking taylor expansion of (/ PI n) in n 12.360 * [taylor]: Taking taylor expansion of PI in n 12.360 * [backup-simplify]: Simplify PI into PI 12.360 * [taylor]: Taking taylor expansion of n in n 12.360 * [backup-simplify]: Simplify 0 into 0 12.360 * [backup-simplify]: Simplify 1 into 1 12.360 * [backup-simplify]: Simplify (/ PI 1) into PI 12.360 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 12.360 * [taylor]: Taking taylor expansion of -1 in n 12.360 * [backup-simplify]: Simplify -1 into -1 12.360 * [taylor]: Taking taylor expansion of (/ PI n) in n 12.360 * [taylor]: Taking taylor expansion of PI in n 12.360 * [backup-simplify]: Simplify PI into PI 12.360 * [taylor]: Taking taylor expansion of n in n 12.360 * [backup-simplify]: Simplify 0 into 0 12.360 * [backup-simplify]: Simplify 1 into 1 12.361 * [backup-simplify]: Simplify (/ PI 1) into PI 12.361 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 12.361 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 12.362 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.362 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 PI)) into 0 12.362 * [backup-simplify]: Simplify 0 into 0 12.363 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.364 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 12.364 * [backup-simplify]: Simplify 0 into 0 12.364 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.365 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 12.365 * [backup-simplify]: Simplify 0 into 0 12.366 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.367 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 12.367 * [backup-simplify]: Simplify 0 into 0 12.367 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.368 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 12.368 * [backup-simplify]: Simplify 0 into 0 12.369 * [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 12.370 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 12.370 * [backup-simplify]: Simplify 0 into 0 12.371 * [backup-simplify]: Simplify (* (* -1 PI) (/ 1 (/ 1 (- n)))) into (* n PI) 12.371 * * * [progress]: simplifying candidates 12.373 * [simplify]: Simplifying: (* (+ (log 2.0) (+ (log n) (log PI))) (/ (- 1.0 k) 2.0)) (* (+ (log 2.0) (log (* n PI))) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 (* n PI))) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 (* n PI))) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* 2.0 (* n PI)) (/ 1.0 2.0)) (pow (* 2.0 (* n PI)) (/ k 2.0)) (pow (* 2.0 (* n PI)) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 (* n PI)) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 (* n PI)) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* n PI)) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 (* n PI)) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* 2.0 (* n PI)) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* n PI)) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 (* n PI)) (/ (sqrt (- 1.0 k)) 1)) (pow (* 2.0 (* n PI)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* n PI)) (/ 1 (sqrt 2.0))) (pow (* 2.0 (* n PI)) (/ 1 1)) (pow (* 2.0 (* n PI)) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* n PI)) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 (* n PI)) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* 2.0 (* n PI)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* n PI)) (/ 1 (sqrt 2.0))) (pow (* 2.0 (* n PI)) (/ 1 1)) (pow (* 2.0 (* n PI)) 1) (pow (* 2.0 (* n PI)) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow (* n PI) (/ (- 1.0 k) 2.0)) (log (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (exp (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (* (* (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0)) (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (pow (* 2.0 (* n PI)) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 (* n PI)) (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 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1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* n PI) (+ (log n) (log PI)) (log (* n PI)) (exp (* n PI)) (* (* (* n n) n) (* (* PI PI) PI)) (* (cbrt (* n PI)) (cbrt (* n PI))) (cbrt (* n PI)) (* (* (* n PI) (* n PI)) (* n PI)) (sqrt (* n PI)) (sqrt (* n PI)) (* (sqrt n) (sqrt PI)) (* (sqrt n) (sqrt PI)) (* n (* (cbrt PI) (cbrt PI))) (* n (sqrt PI)) (* n 1) (* (cbrt n) PI) (* (sqrt n) PI) (* n PI) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* 0.03125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (+ (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.0625 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (* 0.03125 (* (pow k 2) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))))))) (+ (* 0.25 (* k (* (log (* 2.0 PI)) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (* 0.25 (* k (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (* n PI) (* n PI) (* n PI) 12.383 * * [simplify]: Extracting # 0 : cost 0 12.384 * * [simplify]: Extracting # 1 : cost 0 12.385 * * [simplify]: Extracting # 2 : cost 0 12.386 * * [simplify]: Extracting # 3 : cost 0 12.387 * * [simplify]: Extracting # 4 : cost 0 12.389 * * [simplify]: Extracting # 5 : cost 0 12.390 * * [simplify]: Extracting # 6 : cost 0 12.391 * * [simplify]: Extracting # 7 : cost 0 12.393 * * [simplify]: Extracting # 8 : cost 0 12.394 * * [simplify]: Extracting # 9 : cost 0 12.395 * * [simplify]: Extracting # 10 : cost 0 12.396 * * [simplify]: Extracting # 11 : cost 0 12.397 * * [simplify]: Extracting # 12 : cost 0 12.408 * * [simplify]: Extracting # 13 : cost 0 12.409 * * [simplify]: iteration 0 : 390 enodes (cost 2642 ) 12.604 * * [simplify]: Extracting # 0 : cost 0 12.605 * * [simplify]: Extracting # 1 : cost 0 12.607 * * [simplify]: Extracting # 2 : cost 0 12.608 * * [simplify]: Extracting # 3 : cost 0 12.610 * * [simplify]: Extracting # 4 : cost 0 12.611 * * [simplify]: Extracting # 5 : cost 0 12.613 * * [simplify]: Extracting # 6 : cost 0 12.614 * * [simplify]: iteration 1 : 997 enodes (cost 2438 ) 13.247 * * [simplify]: Extracting # 0 : cost 0 13.254 * * [simplify]: Extracting # 1 : cost 0 13.262 * * [simplify]: Extracting # 2 : cost 0 13.273 * * [simplify]: Extracting # 3 : cost 0 13.277 * * [simplify]: Extracting # 4 : cost 0 13.281 * * [simplify]: Extracting # 5 : cost 0 13.284 * * [simplify]: iteration 2 : 2716 enodes (cost 2342 ) 14.213 * * [simplify]: Extracting # 0 : cost 0 14.224 * * [simplify]: Extracting # 1 : cost 0 14.237 * * [simplify]: Extracting # 2 : cost 0 14.250 * * [simplify]: Extracting # 3 : cost 0 14.263 * * [simplify]: Extracting # 4 : cost 0 14.276 * * [simplify]: iteration done: 5002 enodes (cost 2342 ) 14.278 * [simplify]: Simplified to: (* (log (* 2.0 (* n PI))) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 (* n PI))) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 (* n PI))) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 (* n PI))) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* 2.0 (* n PI)) (/ 1.0 2.0)) (pow (* 2.0 (* n PI)) (/ k 2.0)) (pow (* 2.0 (* n PI)) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 (* n PI)) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 (* n PI)) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* n PI)) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* 2.0 (* n PI)) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* n PI)) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 (* n PI)) (sqrt (- 1.0 k))) (pow (* 2.0 (* n PI)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* n PI)) (/ 1 (sqrt 2.0))) (* 2.0 (* n PI)) (pow (* 2.0 (* n PI)) (/ (+ (sqrt 1.0) (sqrt k)) (* 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(sqrt 2))) (pow (* 2.0 (* n PI)) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow (* 2.0 (* n PI)) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 (* n PI)) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2) (cbrt 2)))) (pow (* 2.0 (* n PI)) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2))) (pow (* (* 2.0 PI) n) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* 2.0 (* n PI)) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow (* 2.0 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2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow (* 2.0 (* n PI)) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 (* n PI)) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (pow (* 2.0 (* n PI)) (/ (+ (sqrt k) (sqrt 1.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* 2.0 (* n PI)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* 2.0 (* n PI)) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (* 2.0 (* n PI)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (* 2.0 (* n PI)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (sqrt 2))) (pow (* 2.0 (* n PI)) (- 1.0 k)) (* 2.0 (* n PI)) (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (exp (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (pow (* 2.0 (* n PI)) (/ (/ (- 1.0 k) 2.0) 2)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* 2.0 (* n PI)) (/ (/ (- 1.0 k) 2.0) 4)) (pow (* 2.0 (* n PI)) (/ (/ (- 1.0 k) 2.0) 4)) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (/ (pow 1.0 3) k) (sqrt k)) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt k))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* n PI) (log (* n PI)) (log (* n PI)) (exp (* n PI)) (pow (* n PI) 3) (* (cbrt (* n PI)) (cbrt (* n PI))) (cbrt (* n PI)) (pow (* n PI) 3) (sqrt (* n PI)) (sqrt (* n PI)) (* (sqrt n) (sqrt PI)) (* (sqrt n) (sqrt PI)) (* n (* (cbrt PI) (cbrt PI))) (* n (sqrt PI)) n (* (cbrt n) PI) (* (sqrt n) PI) (* n PI) (+ (* (* 0.125 (pow k 2)) (+ (* (pow (* 2.0 (* n PI)) 0.5) (pow (log (* 2.0 PI)) 2)) (* (pow (log n) 2) (pow (* 2.0 (* n PI)) 0.5)))) (- (+ (pow (* 2.0 (* n PI)) 0.5) (* (* (* 0.25 (pow k 2)) (* (pow (* 2.0 (* n PI)) 0.5) (log n))) (log (* 2.0 PI)))) (* (* 0.5 k) (+ (* (pow (* 2.0 (* n PI)) 0.5) (log (* 2.0 PI))) (* (pow (* 2.0 (* n PI)) 0.5) (log n)))))) (pow (pow (* 2.0 (* n PI)) 0.5) (- 1.0 k)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* (* (pow (* 2.0 (* n PI)) 0.25) (pow (log (* 2.0 PI)) 2)) (* 0.03125 (pow k 2))) (+ (+ (pow (* 2.0 (* n PI)) 0.25) (* (* (pow (* 2.0 (* n PI)) 0.25) (pow (log n) 2)) (* 0.03125 (pow k 2)))) (* (* (* (pow k 2) (log (* 2.0 PI))) (* (pow (* 2.0 (* n PI)) 0.25) (log n))) 0.0625))) (* (* 0.25 k) (+ (* (pow (* 2.0 (* n PI)) 0.25) (log n)) (* (log (* 2.0 PI)) (pow (* 2.0 (* n PI)) 0.25))))) (pow (pow (* 2.0 (* n PI)) 0.25) (- 1.0 k)) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (- (* +nan.0 k) (- (* +nan.0 (pow k 2)) +nan.0))) (+ (/ (- +nan.0) (pow k 2)) (- (/ +nan.0 k) (/ +nan.0 (pow k 3)))) (+ (- (/ +nan.0 k) +nan.0) (/ (- +nan.0) (pow k 2))) (* n PI) (* n PI) (* n PI) 14.281 * * * [progress]: adding candidates to table 15.366 * * [progress]: iteration 4 / 4 15.366 * * * [progress]: picking best candidate 15.410 * * * * [pick]: Picked # 15.410 * * * [progress]: localizing error 15.454 * * * [progress]: generating rewritten candidates 15.454 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 15.598 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 15.647 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 2 2 1) 15.648 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 2 1 2) 15.656 * * * [progress]: generating series expansions 15.656 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 15.657 * [backup-simplify]: Simplify (pow (* 2.0 (* (* (cbrt n) (cbrt n)) (* (cbrt n) PI))) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 15.657 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 15.657 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 15.657 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 15.657 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 15.657 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 15.657 * [taylor]: Taking taylor expansion of 0.5 in k 15.657 * [backup-simplify]: Simplify 0.5 into 0.5 15.657 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 15.657 * [taylor]: Taking taylor expansion of 1.0 in k 15.657 * [backup-simplify]: Simplify 1.0 into 1.0 15.657 * [taylor]: Taking taylor expansion of k in k 15.657 * [backup-simplify]: Simplify 0 into 0 15.657 * [backup-simplify]: Simplify 1 into 1 15.657 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 15.657 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 15.657 * [taylor]: Taking taylor expansion of 2.0 in k 15.657 * [backup-simplify]: Simplify 2.0 into 2.0 15.657 * [taylor]: Taking taylor expansion of (* n PI) in k 15.657 * [taylor]: Taking taylor expansion of n in k 15.657 * [backup-simplify]: Simplify n into n 15.657 * [taylor]: Taking taylor expansion of PI in k 15.657 * [backup-simplify]: Simplify PI into PI 15.657 * [backup-simplify]: Simplify (* n PI) into (* n PI) 15.657 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 15.657 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 15.658 * [backup-simplify]: Simplify (- 0) into 0 15.658 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 15.659 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 15.659 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 15.659 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 15.659 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 15.659 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 15.659 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 15.659 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 15.659 * [taylor]: Taking taylor expansion of 0.5 in n 15.659 * [backup-simplify]: Simplify 0.5 into 0.5 15.659 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 15.659 * [taylor]: Taking taylor expansion of 1.0 in n 15.659 * [backup-simplify]: Simplify 1.0 into 1.0 15.659 * [taylor]: Taking taylor expansion of k in n 15.659 * [backup-simplify]: Simplify k into k 15.659 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 15.659 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 15.659 * [taylor]: Taking taylor expansion of 2.0 in n 15.659 * [backup-simplify]: Simplify 2.0 into 2.0 15.659 * [taylor]: Taking taylor expansion of (* n PI) in n 15.659 * [taylor]: Taking taylor expansion of n in n 15.659 * [backup-simplify]: Simplify 0 into 0 15.659 * [backup-simplify]: Simplify 1 into 1 15.659 * [taylor]: Taking taylor expansion of PI in n 15.659 * [backup-simplify]: Simplify PI into PI 15.660 * [backup-simplify]: Simplify (* 0 PI) into 0 15.660 * [backup-simplify]: Simplify (* 2.0 0) into 0 15.661 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 15.662 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 15.662 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 15.663 * [backup-simplify]: Simplify (- k) into (- k) 15.663 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 15.663 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 15.664 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 15.664 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 15.665 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 15.665 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 15.665 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 15.665 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 15.665 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 15.665 * [taylor]: Taking taylor expansion of 0.5 in n 15.665 * [backup-simplify]: Simplify 0.5 into 0.5 15.665 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 15.665 * [taylor]: Taking taylor expansion of 1.0 in n 15.665 * [backup-simplify]: Simplify 1.0 into 1.0 15.665 * [taylor]: Taking taylor expansion of k in n 15.665 * [backup-simplify]: Simplify k into k 15.665 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 15.665 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 15.665 * [taylor]: Taking taylor expansion of 2.0 in n 15.665 * [backup-simplify]: Simplify 2.0 into 2.0 15.665 * [taylor]: Taking taylor expansion of (* n PI) in n 15.665 * [taylor]: Taking taylor expansion of n in n 15.665 * [backup-simplify]: Simplify 0 into 0 15.665 * [backup-simplify]: Simplify 1 into 1 15.665 * [taylor]: Taking taylor expansion of PI in n 15.665 * [backup-simplify]: Simplify PI into PI 15.666 * [backup-simplify]: Simplify (* 0 PI) into 0 15.666 * [backup-simplify]: Simplify (* 2.0 0) into 0 15.667 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 15.668 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 15.668 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 15.668 * [backup-simplify]: Simplify (- k) into (- k) 15.669 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 15.669 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 15.669 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 15.670 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 15.671 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 15.671 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 15.671 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 15.671 * [taylor]: Taking taylor expansion of 0.5 in k 15.671 * [backup-simplify]: Simplify 0.5 into 0.5 15.671 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 15.671 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 15.671 * [taylor]: Taking taylor expansion of 1.0 in k 15.671 * [backup-simplify]: Simplify 1.0 into 1.0 15.671 * [taylor]: Taking taylor expansion of k in k 15.671 * [backup-simplify]: Simplify 0 into 0 15.671 * [backup-simplify]: Simplify 1 into 1 15.671 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 15.671 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 15.671 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 15.671 * [taylor]: Taking taylor expansion of 2.0 in k 15.671 * [backup-simplify]: Simplify 2.0 into 2.0 15.671 * [taylor]: Taking taylor expansion of PI in k 15.671 * [backup-simplify]: Simplify PI into PI 15.672 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 15.672 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 15.672 * [taylor]: Taking taylor expansion of (log n) in k 15.672 * [taylor]: Taking taylor expansion of n in k 15.672 * [backup-simplify]: Simplify n into n 15.672 * [backup-simplify]: Simplify (log n) into (log n) 15.673 * [backup-simplify]: Simplify (- 0) into 0 15.673 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 15.674 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 15.674 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 15.675 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 15.676 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 15.676 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 15.677 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 15.684 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 15.686 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 15.687 * [backup-simplify]: Simplify (- 0) into 0 15.687 * [backup-simplify]: Simplify (+ 0 0) into 0 15.688 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 15.689 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 15.691 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 15.693 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 15.693 * [taylor]: Taking taylor expansion of 0 in k 15.693 * [backup-simplify]: Simplify 0 into 0 15.693 * [backup-simplify]: Simplify 0 into 0 15.694 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 15.696 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 15.697 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 15.697 * [backup-simplify]: Simplify (+ 0 0) into 0 15.698 * [backup-simplify]: Simplify (- 1) into -1 15.698 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.700 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 15.702 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n))))) into (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 15.706 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 1) 1)))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 15.707 * [backup-simplify]: Simplify (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 15.708 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 15.709 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 15.711 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 15.711 * [backup-simplify]: Simplify (- 0) into 0 15.711 * [backup-simplify]: Simplify (+ 0 0) into 0 15.712 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 15.713 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 15.714 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 15.715 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.715 * [taylor]: Taking taylor expansion of 0 in k 15.715 * [backup-simplify]: Simplify 0 into 0 15.715 * [backup-simplify]: Simplify 0 into 0 15.715 * [backup-simplify]: Simplify 0 into 0 15.716 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 15.718 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 15.719 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 15.719 * [backup-simplify]: Simplify (+ 0 0) into 0 15.719 * [backup-simplify]: Simplify (- 0) into 0 15.720 * [backup-simplify]: Simplify (+ 0 0) into 0 15.721 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 15.722 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 15.725 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 15.728 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 15.734 * [backup-simplify]: Simplify (+ (* (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (* k 1)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) 15.735 * [backup-simplify]: Simplify (pow (* 2.0 (* (* (cbrt (/ 1 n)) (cbrt (/ 1 n))) (* (cbrt (/ 1 n)) PI))) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) 15.735 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 15.735 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 15.735 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 15.735 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 15.735 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 15.735 * [taylor]: Taking taylor expansion of 0.5 in k 15.735 * [backup-simplify]: Simplify 0.5 into 0.5 15.735 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 15.735 * [taylor]: Taking taylor expansion of 1.0 in k 15.735 * [backup-simplify]: Simplify 1.0 into 1.0 15.735 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.735 * [taylor]: Taking taylor expansion of k in k 15.735 * [backup-simplify]: Simplify 0 into 0 15.735 * [backup-simplify]: Simplify 1 into 1 15.735 * [backup-simplify]: Simplify (/ 1 1) into 1 15.735 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 15.735 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 15.735 * [taylor]: Taking taylor expansion of 2.0 in k 15.735 * [backup-simplify]: Simplify 2.0 into 2.0 15.735 * [taylor]: Taking taylor expansion of (/ PI n) in k 15.735 * [taylor]: Taking taylor expansion of PI in k 15.735 * [backup-simplify]: Simplify PI into PI 15.735 * [taylor]: Taking taylor expansion of n in k 15.735 * [backup-simplify]: Simplify n into n 15.735 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 15.735 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 15.735 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 15.736 * [backup-simplify]: Simplify (- 1) into -1 15.736 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.736 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 15.736 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 15.736 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 15.736 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 15.736 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 15.737 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 15.737 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 15.737 * [taylor]: Taking taylor expansion of 0.5 in n 15.737 * [backup-simplify]: Simplify 0.5 into 0.5 15.737 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 15.737 * [taylor]: Taking taylor expansion of 1.0 in n 15.737 * [backup-simplify]: Simplify 1.0 into 1.0 15.737 * [taylor]: Taking taylor expansion of (/ 1 k) in n 15.737 * [taylor]: Taking taylor expansion of k in n 15.737 * [backup-simplify]: Simplify k into k 15.737 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 15.737 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 15.737 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 15.737 * [taylor]: Taking taylor expansion of 2.0 in n 15.737 * [backup-simplify]: Simplify 2.0 into 2.0 15.737 * [taylor]: Taking taylor expansion of (/ PI n) in n 15.737 * [taylor]: Taking taylor expansion of PI in n 15.737 * [backup-simplify]: Simplify PI into PI 15.737 * [taylor]: Taking taylor expansion of n in n 15.737 * [backup-simplify]: Simplify 0 into 0 15.737 * [backup-simplify]: Simplify 1 into 1 15.737 * [backup-simplify]: Simplify (/ PI 1) into PI 15.738 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 15.738 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 15.738 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 15.738 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 15.738 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 15.739 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 15.740 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 15.741 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 15.741 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 15.741 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 15.741 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 15.741 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 15.741 * [taylor]: Taking taylor expansion of 0.5 in n 15.741 * [backup-simplify]: Simplify 0.5 into 0.5 15.741 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 15.741 * [taylor]: Taking taylor expansion of 1.0 in n 15.741 * [backup-simplify]: Simplify 1.0 into 1.0 15.741 * [taylor]: Taking taylor expansion of (/ 1 k) in n 15.741 * [taylor]: Taking taylor expansion of k in n 15.741 * [backup-simplify]: Simplify k into k 15.741 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 15.741 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 15.741 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 15.741 * [taylor]: Taking taylor expansion of 2.0 in n 15.741 * [backup-simplify]: Simplify 2.0 into 2.0 15.741 * [taylor]: Taking taylor expansion of (/ PI n) in n 15.741 * [taylor]: Taking taylor expansion of PI in n 15.741 * [backup-simplify]: Simplify PI into PI 15.741 * [taylor]: Taking taylor expansion of n in n 15.741 * [backup-simplify]: Simplify 0 into 0 15.741 * [backup-simplify]: Simplify 1 into 1 15.742 * [backup-simplify]: Simplify (/ PI 1) into PI 15.742 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 15.743 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 15.743 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 15.744 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 15.744 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 15.745 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 15.746 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 15.748 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 15.748 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 15.748 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 15.748 * [taylor]: Taking taylor expansion of 0.5 in k 15.748 * [backup-simplify]: Simplify 0.5 into 0.5 15.748 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 15.748 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 15.748 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 15.748 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 15.748 * [taylor]: Taking taylor expansion of 2.0 in k 15.748 * [backup-simplify]: Simplify 2.0 into 2.0 15.748 * [taylor]: Taking taylor expansion of PI in k 15.748 * [backup-simplify]: Simplify PI into PI 15.749 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 15.750 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 15.750 * [taylor]: Taking taylor expansion of (log n) in k 15.750 * [taylor]: Taking taylor expansion of n in k 15.750 * [backup-simplify]: Simplify n into n 15.750 * [backup-simplify]: Simplify (log n) into (log n) 15.750 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 15.750 * [taylor]: Taking taylor expansion of 1.0 in k 15.750 * [backup-simplify]: Simplify 1.0 into 1.0 15.750 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.750 * [taylor]: Taking taylor expansion of k in k 15.750 * [backup-simplify]: Simplify 0 into 0 15.750 * [backup-simplify]: Simplify 1 into 1 15.750 * [backup-simplify]: Simplify (/ 1 1) into 1 15.750 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 15.752 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 15.752 * [backup-simplify]: Simplify (- 1) into -1 15.752 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.753 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 15.755 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 15.756 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 15.757 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 15.758 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 15.759 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 15.761 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 15.761 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 15.761 * [backup-simplify]: Simplify (- 0) into 0 15.762 * [backup-simplify]: Simplify (+ 0 0) into 0 15.762 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 15.764 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 15.765 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 15.767 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 15.767 * [taylor]: Taking taylor expansion of 0 in k 15.767 * [backup-simplify]: Simplify 0 into 0 15.767 * [backup-simplify]: Simplify 0 into 0 15.767 * [backup-simplify]: Simplify 0 into 0 15.769 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.770 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 15.773 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 15.773 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 15.774 * [backup-simplify]: Simplify (- 0) into 0 15.774 * [backup-simplify]: Simplify (+ 0 0) into 0 15.775 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 15.777 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 15.778 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 15.781 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.781 * [taylor]: Taking taylor expansion of 0 in k 15.781 * [backup-simplify]: Simplify 0 into 0 15.781 * [backup-simplify]: Simplify 0 into 0 15.781 * [backup-simplify]: Simplify 0 into 0 15.781 * [backup-simplify]: Simplify 0 into 0 15.783 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.784 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 15.791 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0 15.791 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 15.791 * [backup-simplify]: Simplify (- 0) into 0 15.792 * [backup-simplify]: Simplify (+ 0 0) into 0 15.793 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 15.795 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 15.797 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 15.800 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 15.800 * [taylor]: Taking taylor expansion of 0 in k 15.800 * [backup-simplify]: Simplify 0 into 0 15.800 * [backup-simplify]: Simplify 0 into 0 15.801 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) 15.802 * [backup-simplify]: Simplify (pow (* 2.0 (* (* (cbrt (/ 1 (- n))) (cbrt (/ 1 (- n)))) (* (cbrt (/ 1 (- n))) PI))) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* 2.0 (/ (* (pow (cbrt -1) 3) PI) n)) (* 0.5 (+ (/ 1 k) 1.0))) 15.802 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ (* (pow (cbrt -1) 3) PI) n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 15.802 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ (* (pow (cbrt -1) 3) PI) n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 15.802 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (/ (* (pow (cbrt -1) 3) PI) n))))) in k 15.802 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (/ (* (pow (cbrt -1) 3) PI) n)))) in k 15.802 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 15.802 * [taylor]: Taking taylor expansion of 0.5 in k 15.802 * [backup-simplify]: Simplify 0.5 into 0.5 15.802 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 15.802 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.803 * [taylor]: Taking taylor expansion of k in k 15.803 * [backup-simplify]: Simplify 0 into 0 15.803 * [backup-simplify]: Simplify 1 into 1 15.803 * [backup-simplify]: Simplify (/ 1 1) into 1 15.803 * [taylor]: Taking taylor expansion of 1.0 in k 15.803 * [backup-simplify]: Simplify 1.0 into 1.0 15.803 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ (* (pow (cbrt -1) 3) PI) n))) in k 15.803 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* (pow (cbrt -1) 3) PI) n)) in k 15.803 * [taylor]: Taking taylor expansion of 2.0 in k 15.803 * [backup-simplify]: Simplify 2.0 into 2.0 15.803 * [taylor]: Taking taylor expansion of (/ (* (pow (cbrt -1) 3) PI) n) in k 15.803 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 3) PI) in k 15.803 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 3) in k 15.803 * [taylor]: Taking taylor expansion of (cbrt -1) in k 15.803 * [taylor]: Taking taylor expansion of -1 in k 15.803 * [backup-simplify]: Simplify -1 into -1 15.804 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 15.805 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 15.805 * [taylor]: Taking taylor expansion of PI in k 15.805 * [backup-simplify]: Simplify PI into PI 15.805 * [taylor]: Taking taylor expansion of n in k 15.805 * [backup-simplify]: Simplify n into n 15.806 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 15.809 * [backup-simplify]: Simplify (* (cbrt -1) (pow (cbrt -1) 2)) into (pow (cbrt -1) 3) 15.818 * [backup-simplify]: Simplify (* (pow (cbrt -1) 3) PI) into (* -1 PI) 15.819 * [backup-simplify]: Simplify (/ (* -1 PI) n) into (* -1 (/ PI n)) 15.819 * [backup-simplify]: Simplify (* 2.0 (* -1 (/ PI n))) into (* -2.0 (/ PI n)) 15.819 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 15.820 * [backup-simplify]: Simplify (+ 1 0) into 1 15.820 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 15.820 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 15.823 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (/ (* (pow (cbrt -1) 3) PI) n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 15.823 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ (* (pow (cbrt -1) 3) PI) n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 15.823 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (/ (* (pow (cbrt -1) 3) PI) n))))) in n 15.823 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (/ (* (pow (cbrt -1) 3) PI) n)))) in n 15.823 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 15.823 * [taylor]: Taking taylor expansion of 0.5 in n 15.823 * [backup-simplify]: Simplify 0.5 into 0.5 15.823 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 15.823 * [taylor]: Taking taylor expansion of (/ 1 k) in n 15.823 * [taylor]: Taking taylor expansion of k in n 15.823 * [backup-simplify]: Simplify k into k 15.823 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 15.823 * [taylor]: Taking taylor expansion of 1.0 in n 15.823 * [backup-simplify]: Simplify 1.0 into 1.0 15.823 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ (* (pow (cbrt -1) 3) PI) n))) in n 15.823 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* (pow (cbrt -1) 3) PI) n)) in n 15.823 * [taylor]: Taking taylor expansion of 2.0 in n 15.823 * [backup-simplify]: Simplify 2.0 into 2.0 15.823 * [taylor]: Taking taylor expansion of (/ (* (pow (cbrt -1) 3) PI) n) in n 15.823 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 3) PI) in n 15.823 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 3) in n 15.823 * [taylor]: Taking taylor expansion of (cbrt -1) in n 15.823 * [taylor]: Taking taylor expansion of -1 in n 15.823 * [backup-simplify]: Simplify -1 into -1 15.824 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 15.825 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 15.825 * [taylor]: Taking taylor expansion of PI in n 15.825 * [backup-simplify]: Simplify PI into PI 15.825 * [taylor]: Taking taylor expansion of n in n 15.825 * [backup-simplify]: Simplify 0 into 0 15.825 * [backup-simplify]: Simplify 1 into 1 15.826 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 15.828 * [backup-simplify]: Simplify (* (cbrt -1) (pow (cbrt -1) 2)) into (pow (cbrt -1) 3) 15.830 * [backup-simplify]: Simplify (* (pow (cbrt -1) 3) PI) into (* -1 PI) 15.831 * [backup-simplify]: Simplify (/ (* -1 PI) 1) into (* -1 PI) 15.832 * [backup-simplify]: Simplify (* 2.0 (* -1 PI)) into (* -2.0 PI) 15.833 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 15.833 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 15.834 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 15.835 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 15.836 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 15.838 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 15.838 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ (* (pow (cbrt -1) 3) PI) n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 15.838 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (/ (* (pow (cbrt -1) 3) PI) n))))) in n 15.838 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (/ (* (pow (cbrt -1) 3) PI) n)))) in n 15.838 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 15.838 * [taylor]: Taking taylor expansion of 0.5 in n 15.838 * [backup-simplify]: Simplify 0.5 into 0.5 15.838 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 15.838 * [taylor]: Taking taylor expansion of (/ 1 k) in n 15.838 * [taylor]: Taking taylor expansion of k in n 15.838 * [backup-simplify]: Simplify k into k 15.838 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 15.838 * [taylor]: Taking taylor expansion of 1.0 in n 15.838 * [backup-simplify]: Simplify 1.0 into 1.0 15.838 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ (* (pow (cbrt -1) 3) PI) n))) in n 15.838 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* (pow (cbrt -1) 3) PI) n)) in n 15.838 * [taylor]: Taking taylor expansion of 2.0 in n 15.838 * [backup-simplify]: Simplify 2.0 into 2.0 15.838 * [taylor]: Taking taylor expansion of (/ (* (pow (cbrt -1) 3) PI) n) in n 15.839 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 3) PI) in n 15.839 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 3) in n 15.839 * [taylor]: Taking taylor expansion of (cbrt -1) in n 15.839 * [taylor]: Taking taylor expansion of -1 in n 15.839 * [backup-simplify]: Simplify -1 into -1 15.839 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 15.840 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 15.840 * [taylor]: Taking taylor expansion of PI in n 15.840 * [backup-simplify]: Simplify PI into PI 15.840 * [taylor]: Taking taylor expansion of n in n 15.840 * [backup-simplify]: Simplify 0 into 0 15.840 * [backup-simplify]: Simplify 1 into 1 15.841 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 15.843 * [backup-simplify]: Simplify (* (cbrt -1) (pow (cbrt -1) 2)) into (pow (cbrt -1) 3) 15.845 * [backup-simplify]: Simplify (* (pow (cbrt -1) 3) PI) into (* -1 PI) 15.846 * [backup-simplify]: Simplify (/ (* -1 PI) 1) into (* -1 PI) 15.848 * [backup-simplify]: Simplify (* 2.0 (* -1 PI)) into (* -2.0 PI) 15.849 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 15.849 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 15.849 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 15.851 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 15.852 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 15.853 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 15.853 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 15.853 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 15.853 * [taylor]: Taking taylor expansion of 0.5 in k 15.853 * [backup-simplify]: Simplify 0.5 into 0.5 15.853 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 15.854 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 15.854 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.854 * [taylor]: Taking taylor expansion of k in k 15.854 * [backup-simplify]: Simplify 0 into 0 15.854 * [backup-simplify]: Simplify 1 into 1 15.854 * [backup-simplify]: Simplify (/ 1 1) into 1 15.854 * [taylor]: Taking taylor expansion of 1.0 in k 15.854 * [backup-simplify]: Simplify 1.0 into 1.0 15.854 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 15.854 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 15.854 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 15.854 * [taylor]: Taking taylor expansion of -2.0 in k 15.854 * [backup-simplify]: Simplify -2.0 into -2.0 15.854 * [taylor]: Taking taylor expansion of PI in k 15.854 * [backup-simplify]: Simplify PI into PI 15.855 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 15.856 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 15.856 * [taylor]: Taking taylor expansion of (log n) in k 15.856 * [taylor]: Taking taylor expansion of n in k 15.856 * [backup-simplify]: Simplify n into n 15.856 * [backup-simplify]: Simplify (log n) into (log n) 15.857 * [backup-simplify]: Simplify (+ 1 0) into 1 15.857 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 15.858 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 15.859 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 15.860 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 15.861 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 15.862 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 15.863 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 15.863 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow (cbrt -1) 2))) into 0 15.864 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 3) 0) (* 0 PI)) into 0 15.865 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1 PI) (/ 0 1)))) into 0 15.865 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (* -1 PI))) into 0 15.866 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 15.866 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 15.867 * [backup-simplify]: Simplify (+ 0 0) into 0 15.867 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 15.868 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 15.868 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 15.870 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 15.870 * [taylor]: Taking taylor expansion of 0 in k 15.870 * [backup-simplify]: Simplify 0 into 0 15.870 * [backup-simplify]: Simplify 0 into 0 15.870 * [backup-simplify]: Simplify 0 into 0 15.871 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 15.871 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 15.872 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2)))) into 0 15.873 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 3) 0) (+ (* 0 0) (* 0 PI))) into 0 15.874 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1 PI) (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.874 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (* -1 PI)))) into 0 15.876 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0 15.876 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 15.877 * [backup-simplify]: Simplify (+ 0 0) into 0 15.877 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 15.878 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 15.879 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 15.880 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.880 * [taylor]: Taking taylor expansion of 0 in k 15.880 * [backup-simplify]: Simplify 0 into 0 15.880 * [backup-simplify]: Simplify 0 into 0 15.881 * [backup-simplify]: Simplify 0 into 0 15.881 * [backup-simplify]: Simplify 0 into 0 15.881 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 15.882 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 15.883 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2))))) into 0 15.884 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 15.885 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1 PI) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.885 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 PI))))) into 0 15.889 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2.0 PI) 1)))) 6) into 0 15.889 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 15.889 * [backup-simplify]: Simplify (+ 0 0) into 0 15.890 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 15.891 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 15.892 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 15.893 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 15.894 * [taylor]: Taking taylor expansion of 0 in k 15.894 * [backup-simplify]: Simplify 0 into 0 15.894 * [backup-simplify]: Simplify 0 into 0 15.894 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))) into (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 15.894 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 15.895 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) into (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 15.895 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0 15.895 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 15.895 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 15.895 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 15.895 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 15.895 * [taylor]: Taking taylor expansion of 0.25 in k 15.895 * [backup-simplify]: Simplify 0.25 into 0.25 15.895 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 15.895 * [taylor]: Taking taylor expansion of 1.0 in k 15.895 * [backup-simplify]: Simplify 1.0 into 1.0 15.895 * [taylor]: Taking taylor expansion of k in k 15.895 * [backup-simplify]: Simplify 0 into 0 15.895 * [backup-simplify]: Simplify 1 into 1 15.895 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 15.895 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 15.895 * [taylor]: Taking taylor expansion of 2.0 in k 15.895 * [backup-simplify]: Simplify 2.0 into 2.0 15.895 * [taylor]: Taking taylor expansion of (* n PI) in k 15.895 * [taylor]: Taking taylor expansion of n in k 15.895 * [backup-simplify]: Simplify n into n 15.895 * [taylor]: Taking taylor expansion of PI in k 15.895 * [backup-simplify]: Simplify PI into PI 15.895 * [backup-simplify]: Simplify (* n PI) into (* n PI) 15.895 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 15.895 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 15.896 * [backup-simplify]: Simplify (- 0) into 0 15.896 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 15.896 * [backup-simplify]: Simplify (* 0.25 1.0) into 0.25 15.896 * [backup-simplify]: Simplify (* 0.25 (log (* 2.0 (* n PI)))) into (* 0.25 (log (* 2.0 (* n PI)))) 15.896 * [backup-simplify]: Simplify (exp (* 0.25 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.25) 15.896 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 15.896 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 15.896 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 15.896 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 15.896 * [taylor]: Taking taylor expansion of 0.25 in n 15.897 * [backup-simplify]: Simplify 0.25 into 0.25 15.897 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 15.897 * [taylor]: Taking taylor expansion of 1.0 in n 15.897 * [backup-simplify]: Simplify 1.0 into 1.0 15.897 * [taylor]: Taking taylor expansion of k in n 15.897 * [backup-simplify]: Simplify k into k 15.897 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 15.897 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 15.897 * [taylor]: Taking taylor expansion of 2.0 in n 15.897 * [backup-simplify]: Simplify 2.0 into 2.0 15.897 * [taylor]: Taking taylor expansion of (* n PI) in n 15.897 * [taylor]: Taking taylor expansion of n in n 15.897 * [backup-simplify]: Simplify 0 into 0 15.897 * [backup-simplify]: Simplify 1 into 1 15.897 * [taylor]: Taking taylor expansion of PI in n 15.897 * [backup-simplify]: Simplify PI into PI 15.897 * [backup-simplify]: Simplify (* 0 PI) into 0 15.897 * [backup-simplify]: Simplify (* 2.0 0) into 0 15.898 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 15.900 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 15.901 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 15.901 * [backup-simplify]: Simplify (- k) into (- k) 15.901 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 15.901 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 15.903 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 15.904 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 15.905 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 15.905 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 15.905 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 15.905 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 15.905 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 15.905 * [taylor]: Taking taylor expansion of 0.25 in n 15.906 * [backup-simplify]: Simplify 0.25 into 0.25 15.906 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 15.906 * [taylor]: Taking taylor expansion of 1.0 in n 15.906 * [backup-simplify]: Simplify 1.0 into 1.0 15.906 * [taylor]: Taking taylor expansion of k in n 15.906 * [backup-simplify]: Simplify k into k 15.906 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 15.906 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 15.906 * [taylor]: Taking taylor expansion of 2.0 in n 15.906 * [backup-simplify]: Simplify 2.0 into 2.0 15.906 * [taylor]: Taking taylor expansion of (* n PI) in n 15.906 * [taylor]: Taking taylor expansion of n in n 15.906 * [backup-simplify]: Simplify 0 into 0 15.906 * [backup-simplify]: Simplify 1 into 1 15.906 * [taylor]: Taking taylor expansion of PI in n 15.906 * [backup-simplify]: Simplify PI into PI 15.907 * [backup-simplify]: Simplify (* 0 PI) into 0 15.907 * [backup-simplify]: Simplify (* 2.0 0) into 0 15.908 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 15.910 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 15.911 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 15.912 * [backup-simplify]: Simplify (- k) into (- k) 15.912 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 15.912 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 15.913 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 15.914 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 15.915 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 15.916 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 15.916 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 15.916 * [taylor]: Taking taylor expansion of 0.25 in k 15.916 * [backup-simplify]: Simplify 0.25 into 0.25 15.916 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 15.916 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 15.916 * [taylor]: Taking taylor expansion of 1.0 in k 15.916 * [backup-simplify]: Simplify 1.0 into 1.0 15.916 * [taylor]: Taking taylor expansion of k in k 15.916 * [backup-simplify]: Simplify 0 into 0 15.916 * [backup-simplify]: Simplify 1 into 1 15.916 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 15.916 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 15.916 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 15.916 * [taylor]: Taking taylor expansion of 2.0 in k 15.916 * [backup-simplify]: Simplify 2.0 into 2.0 15.916 * [taylor]: Taking taylor expansion of PI in k 15.916 * [backup-simplify]: Simplify PI into PI 15.917 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 15.918 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 15.918 * [taylor]: Taking taylor expansion of (log n) in k 15.918 * [taylor]: Taking taylor expansion of n in k 15.918 * [backup-simplify]: Simplify n into n 15.918 * [backup-simplify]: Simplify (log n) into (log n) 15.918 * [backup-simplify]: Simplify (- 0) into 0 15.919 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 15.920 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 15.921 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 15.922 * [backup-simplify]: Simplify (* 0.25 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.25 (+ (log (* 2.0 PI)) (log n))) 15.923 * [backup-simplify]: Simplify (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 15.924 * [backup-simplify]: Simplify (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 15.926 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 15.927 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 15.929 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 15.929 * [backup-simplify]: Simplify (- 0) into 0 15.929 * [backup-simplify]: Simplify (+ 0 0) into 0 15.930 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 k))) into 0 15.931 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 15.933 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 15.935 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 15.935 * [taylor]: Taking taylor expansion of 0 in k 15.935 * [backup-simplify]: Simplify 0 into 0 15.935 * [backup-simplify]: Simplify 0 into 0 15.936 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 15.938 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 15.939 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 15.939 * [backup-simplify]: Simplify (+ 0 0) into 0 15.940 * [backup-simplify]: Simplify (- 1) into -1 15.940 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.950 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 15.953 * [backup-simplify]: Simplify (+ (* 0.25 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n))))) into (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 15.956 * [backup-simplify]: Simplify (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 1) 1)))) into (* -1 (* (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) 15.960 * [backup-simplify]: Simplify (* -1 (* (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) into (* -1 (* (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) 15.961 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 15.963 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 15.966 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 15.967 * [backup-simplify]: Simplify (- 0) into 0 15.967 * [backup-simplify]: Simplify (+ 0 0) into 0 15.968 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 15.969 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 15.971 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 15.974 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.974 * [taylor]: Taking taylor expansion of 0 in k 15.974 * [backup-simplify]: Simplify 0 into 0 15.974 * [backup-simplify]: Simplify 0 into 0 15.974 * [backup-simplify]: Simplify 0 into 0 15.975 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 15.979 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 15.981 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 15.981 * [backup-simplify]: Simplify (+ 0 0) into 0 15.981 * [backup-simplify]: Simplify (- 0) into 0 15.982 * [backup-simplify]: Simplify (+ 0 0) into 0 15.984 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 15.987 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 15.991 * [backup-simplify]: Simplify (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.03125 (pow (log n) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) 15.996 * [backup-simplify]: Simplify (* (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.03125 (pow (log n) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) into (* (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.03125 (pow (log n) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) 16.009 * [backup-simplify]: Simplify (+ (* (* (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.03125 (pow (log n) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) (* k 1)) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) into (- (+ (* 0.03125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (+ (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.0625 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (* 0.03125 (* (pow k 2) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))))))) (+ (* 0.25 (* k (* (log (* 2.0 PI)) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (* 0.25 (* k (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) 16.010 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 n)) (/ (/ (- 1.0 (/ 1 k)) 2.0) 2)) into (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) 16.010 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 16.010 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 16.010 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 16.010 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 16.010 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 16.010 * [taylor]: Taking taylor expansion of 0.25 in k 16.010 * [backup-simplify]: Simplify 0.25 into 0.25 16.010 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 16.010 * [taylor]: Taking taylor expansion of 1.0 in k 16.010 * [backup-simplify]: Simplify 1.0 into 1.0 16.010 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.010 * [taylor]: Taking taylor expansion of k in k 16.010 * [backup-simplify]: Simplify 0 into 0 16.010 * [backup-simplify]: Simplify 1 into 1 16.011 * [backup-simplify]: Simplify (/ 1 1) into 1 16.011 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 16.011 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 16.011 * [taylor]: Taking taylor expansion of 2.0 in k 16.011 * [backup-simplify]: Simplify 2.0 into 2.0 16.011 * [taylor]: Taking taylor expansion of (/ PI n) in k 16.011 * [taylor]: Taking taylor expansion of PI in k 16.011 * [backup-simplify]: Simplify PI into PI 16.011 * [taylor]: Taking taylor expansion of n in k 16.011 * [backup-simplify]: Simplify n into n 16.011 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 16.011 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 16.011 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 16.012 * [backup-simplify]: Simplify (- 1) into -1 16.012 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.013 * [backup-simplify]: Simplify (* 0.25 -1) into -0.25 16.013 * [backup-simplify]: Simplify (* -0.25 (log (* 2.0 (/ PI n)))) into (* -0.25 (log (* 2.0 (/ PI n)))) 16.013 * [backup-simplify]: Simplify (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 16.013 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 16.013 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 16.013 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 16.013 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 16.013 * [taylor]: Taking taylor expansion of 0.25 in n 16.013 * [backup-simplify]: Simplify 0.25 into 0.25 16.013 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 16.013 * [taylor]: Taking taylor expansion of 1.0 in n 16.013 * [backup-simplify]: Simplify 1.0 into 1.0 16.013 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.013 * [taylor]: Taking taylor expansion of k in n 16.013 * [backup-simplify]: Simplify k into k 16.013 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.013 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 16.014 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 16.014 * [taylor]: Taking taylor expansion of 2.0 in n 16.014 * [backup-simplify]: Simplify 2.0 into 2.0 16.014 * [taylor]: Taking taylor expansion of (/ PI n) in n 16.014 * [taylor]: Taking taylor expansion of PI in n 16.014 * [backup-simplify]: Simplify PI into PI 16.014 * [taylor]: Taking taylor expansion of n in n 16.014 * [backup-simplify]: Simplify 0 into 0 16.014 * [backup-simplify]: Simplify 1 into 1 16.014 * [backup-simplify]: Simplify (/ PI 1) into PI 16.015 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.016 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.016 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 16.016 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 16.016 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 16.018 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 16.019 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 16.020 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 16.021 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 16.021 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 16.021 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 16.021 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 16.021 * [taylor]: Taking taylor expansion of 0.25 in n 16.021 * [backup-simplify]: Simplify 0.25 into 0.25 16.021 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 16.021 * [taylor]: Taking taylor expansion of 1.0 in n 16.021 * [backup-simplify]: Simplify 1.0 into 1.0 16.021 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.021 * [taylor]: Taking taylor expansion of k in n 16.021 * [backup-simplify]: Simplify k into k 16.021 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.021 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 16.021 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 16.021 * [taylor]: Taking taylor expansion of 2.0 in n 16.021 * [backup-simplify]: Simplify 2.0 into 2.0 16.021 * [taylor]: Taking taylor expansion of (/ PI n) in n 16.021 * [taylor]: Taking taylor expansion of PI in n 16.021 * [backup-simplify]: Simplify PI into PI 16.022 * [taylor]: Taking taylor expansion of n in n 16.022 * [backup-simplify]: Simplify 0 into 0 16.022 * [backup-simplify]: Simplify 1 into 1 16.022 * [backup-simplify]: Simplify (/ PI 1) into PI 16.023 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.024 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.024 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 16.024 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 16.024 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 16.025 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 16.027 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 16.028 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 16.028 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 16.028 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 16.028 * [taylor]: Taking taylor expansion of 0.25 in k 16.028 * [backup-simplify]: Simplify 0.25 into 0.25 16.028 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 16.028 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 16.028 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 16.028 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 16.028 * [taylor]: Taking taylor expansion of 2.0 in k 16.028 * [backup-simplify]: Simplify 2.0 into 2.0 16.028 * [taylor]: Taking taylor expansion of PI in k 16.028 * [backup-simplify]: Simplify PI into PI 16.029 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.030 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.030 * [taylor]: Taking taylor expansion of (log n) in k 16.030 * [taylor]: Taking taylor expansion of n in k 16.030 * [backup-simplify]: Simplify n into n 16.030 * [backup-simplify]: Simplify (log n) into (log n) 16.030 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 16.030 * [taylor]: Taking taylor expansion of 1.0 in k 16.030 * [backup-simplify]: Simplify 1.0 into 1.0 16.030 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.030 * [taylor]: Taking taylor expansion of k in k 16.030 * [backup-simplify]: Simplify 0 into 0 16.030 * [backup-simplify]: Simplify 1 into 1 16.031 * [backup-simplify]: Simplify (/ 1 1) into 1 16.031 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 16.032 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 16.032 * [backup-simplify]: Simplify (- 1) into -1 16.033 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.034 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 16.035 * [backup-simplify]: Simplify (* 0.25 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.25 (- (log (* 2.0 PI)) (log n))) 16.036 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 16.038 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 16.039 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 16.039 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 16.041 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 16.041 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 16.042 * [backup-simplify]: Simplify (- 0) into 0 16.042 * [backup-simplify]: Simplify (+ 0 0) into 0 16.043 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 (/ 1 k)))) into 0 16.044 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 16.046 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 16.048 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 16.048 * [taylor]: Taking taylor expansion of 0 in k 16.048 * [backup-simplify]: Simplify 0 into 0 16.048 * [backup-simplify]: Simplify 0 into 0 16.048 * [backup-simplify]: Simplify 0 into 0 16.049 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.050 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 16.054 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 16.054 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 16.054 * [backup-simplify]: Simplify (- 0) into 0 16.055 * [backup-simplify]: Simplify (+ 0 0) into 0 16.056 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 16.057 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 16.059 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 16.062 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.062 * [taylor]: Taking taylor expansion of 0 in k 16.062 * [backup-simplify]: Simplify 0 into 0 16.062 * [backup-simplify]: Simplify 0 into 0 16.062 * [backup-simplify]: Simplify 0 into 0 16.062 * [backup-simplify]: Simplify 0 into 0 16.063 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.065 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 16.071 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0 16.071 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 16.072 * [backup-simplify]: Simplify (- 0) into 0 16.072 * [backup-simplify]: Simplify (+ 0 0) into 0 16.074 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 16.075 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 16.077 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 16.080 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.080 * [taylor]: Taking taylor expansion of 0 in k 16.081 * [backup-simplify]: Simplify 0 into 0 16.081 * [backup-simplify]: Simplify 0 into 0 16.082 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) 16.083 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (/ (- 1.0 (/ 1 (- k))) 2.0) 2)) into (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) 16.083 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 16.083 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 16.084 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 16.084 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 16.084 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 16.084 * [taylor]: Taking taylor expansion of 0.25 in k 16.084 * [backup-simplify]: Simplify 0.25 into 0.25 16.084 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 16.084 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.084 * [taylor]: Taking taylor expansion of k in k 16.084 * [backup-simplify]: Simplify 0 into 0 16.084 * [backup-simplify]: Simplify 1 into 1 16.084 * [backup-simplify]: Simplify (/ 1 1) into 1 16.084 * [taylor]: Taking taylor expansion of 1.0 in k 16.084 * [backup-simplify]: Simplify 1.0 into 1.0 16.084 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 16.084 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 16.084 * [taylor]: Taking taylor expansion of -2.0 in k 16.085 * [backup-simplify]: Simplify -2.0 into -2.0 16.085 * [taylor]: Taking taylor expansion of (/ PI n) in k 16.085 * [taylor]: Taking taylor expansion of PI in k 16.085 * [backup-simplify]: Simplify PI into PI 16.085 * [taylor]: Taking taylor expansion of n in k 16.085 * [backup-simplify]: Simplify n into n 16.085 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 16.085 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 16.085 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 16.086 * [backup-simplify]: Simplify (+ 1 0) into 1 16.086 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 16.086 * [backup-simplify]: Simplify (* 0.25 (log (* -2.0 (/ PI n)))) into (* 0.25 (log (* -2.0 (/ PI n)))) 16.087 * [backup-simplify]: Simplify (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 16.087 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 16.087 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 16.087 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 16.087 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 16.087 * [taylor]: Taking taylor expansion of 0.25 in n 16.087 * [backup-simplify]: Simplify 0.25 into 0.25 16.087 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 16.087 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.087 * [taylor]: Taking taylor expansion of k in n 16.087 * [backup-simplify]: Simplify k into k 16.087 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.087 * [taylor]: Taking taylor expansion of 1.0 in n 16.087 * [backup-simplify]: Simplify 1.0 into 1.0 16.087 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 16.087 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 16.087 * [taylor]: Taking taylor expansion of -2.0 in n 16.087 * [backup-simplify]: Simplify -2.0 into -2.0 16.087 * [taylor]: Taking taylor expansion of (/ PI n) in n 16.087 * [taylor]: Taking taylor expansion of PI in n 16.087 * [backup-simplify]: Simplify PI into PI 16.087 * [taylor]: Taking taylor expansion of n in n 16.087 * [backup-simplify]: Simplify 0 into 0 16.087 * [backup-simplify]: Simplify 1 into 1 16.088 * [backup-simplify]: Simplify (/ PI 1) into PI 16.088 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 16.089 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 16.090 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 16.090 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 16.091 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 16.093 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 16.094 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 16.094 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 16.094 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 16.094 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 16.094 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 16.094 * [taylor]: Taking taylor expansion of 0.25 in n 16.094 * [backup-simplify]: Simplify 0.25 into 0.25 16.094 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 16.094 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.094 * [taylor]: Taking taylor expansion of k in n 16.094 * [backup-simplify]: Simplify k into k 16.094 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.094 * [taylor]: Taking taylor expansion of 1.0 in n 16.094 * [backup-simplify]: Simplify 1.0 into 1.0 16.094 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 16.094 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 16.094 * [taylor]: Taking taylor expansion of -2.0 in n 16.094 * [backup-simplify]: Simplify -2.0 into -2.0 16.094 * [taylor]: Taking taylor expansion of (/ PI n) in n 16.094 * [taylor]: Taking taylor expansion of PI in n 16.094 * [backup-simplify]: Simplify PI into PI 16.094 * [taylor]: Taking taylor expansion of n in n 16.094 * [backup-simplify]: Simplify 0 into 0 16.094 * [backup-simplify]: Simplify 1 into 1 16.095 * [backup-simplify]: Simplify (/ PI 1) into PI 16.095 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 16.096 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 16.096 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 16.096 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 16.097 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 16.098 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 16.098 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 16.099 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 16.099 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 16.099 * [taylor]: Taking taylor expansion of 0.25 in k 16.099 * [backup-simplify]: Simplify 0.25 into 0.25 16.099 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 16.099 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 16.099 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.099 * [taylor]: Taking taylor expansion of k in k 16.099 * [backup-simplify]: Simplify 0 into 0 16.099 * [backup-simplify]: Simplify 1 into 1 16.099 * [backup-simplify]: Simplify (/ 1 1) into 1 16.099 * [taylor]: Taking taylor expansion of 1.0 in k 16.099 * [backup-simplify]: Simplify 1.0 into 1.0 16.099 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 16.099 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 16.099 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 16.099 * [taylor]: Taking taylor expansion of -2.0 in k 16.099 * [backup-simplify]: Simplify -2.0 into -2.0 16.099 * [taylor]: Taking taylor expansion of PI in k 16.099 * [backup-simplify]: Simplify PI into PI 16.099 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 16.100 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 16.100 * [taylor]: Taking taylor expansion of (log n) in k 16.100 * [taylor]: Taking taylor expansion of n in k 16.100 * [backup-simplify]: Simplify n into n 16.100 * [backup-simplify]: Simplify (log n) into (log n) 16.100 * [backup-simplify]: Simplify (+ 1 0) into 1 16.101 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 16.101 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 16.102 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 16.109 * [backup-simplify]: Simplify (* 0.25 (- (log (* -2.0 PI)) (log n))) into (* 0.25 (- (log (* -2.0 PI)) (log n))) 16.110 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 16.111 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 16.111 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 16.112 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 16.113 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 16.113 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 16.113 * [backup-simplify]: Simplify (+ 0 0) into 0 16.114 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (+ (/ 1 k) 1.0))) into 0 16.114 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 16.115 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 16.117 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 16.117 * [taylor]: Taking taylor expansion of 0 in k 16.117 * [backup-simplify]: Simplify 0 into 0 16.117 * [backup-simplify]: Simplify 0 into 0 16.117 * [backup-simplify]: Simplify 0 into 0 16.117 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.118 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 16.120 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0 16.120 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 16.120 * [backup-simplify]: Simplify (+ 0 0) into 0 16.121 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 16.122 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 16.123 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 16.124 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.125 * [taylor]: Taking taylor expansion of 0 in k 16.125 * [backup-simplify]: Simplify 0 into 0 16.125 * [backup-simplify]: Simplify 0 into 0 16.125 * [backup-simplify]: Simplify 0 into 0 16.125 * [backup-simplify]: Simplify 0 into 0 16.125 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.126 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 16.129 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2.0 PI) 1)))) 6) into 0 16.129 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 16.130 * [backup-simplify]: Simplify (+ 0 0) into 0 16.131 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 16.131 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 16.133 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 16.134 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.134 * [taylor]: Taking taylor expansion of 0 in k 16.134 * [backup-simplify]: Simplify 0 into 0 16.135 * [backup-simplify]: Simplify 0 into 0 16.135 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))) into (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 16.135 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 2 2 1) 16.136 * [backup-simplify]: Simplify (cbrt n) into (pow n 1/3) 16.136 * [approximate]: Taking taylor expansion of (pow n 1/3) in (n) around 0 16.136 * [taylor]: Taking taylor expansion of (pow n 1/3) in n 16.136 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log n))) in n 16.136 * [taylor]: Taking taylor expansion of (* 1/3 (log n)) in n 16.136 * [taylor]: Taking taylor expansion of 1/3 in n 16.136 * [backup-simplify]: Simplify 1/3 into 1/3 16.136 * [taylor]: Taking taylor expansion of (log n) in n 16.136 * [taylor]: Taking taylor expansion of n in n 16.136 * [backup-simplify]: Simplify 0 into 0 16.136 * [backup-simplify]: Simplify 1 into 1 16.136 * [backup-simplify]: Simplify (log 1) into 0 16.136 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 16.136 * [backup-simplify]: Simplify (* 1/3 (log n)) into (* 1/3 (log n)) 16.136 * [backup-simplify]: Simplify (exp (* 1/3 (log n))) into (pow n 1/3) 16.136 * [taylor]: Taking taylor expansion of (pow n 1/3) in n 16.136 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log n))) in n 16.136 * [taylor]: Taking taylor expansion of (* 1/3 (log n)) in n 16.136 * [taylor]: Taking taylor expansion of 1/3 in n 16.136 * [backup-simplify]: Simplify 1/3 into 1/3 16.136 * [taylor]: Taking taylor expansion of (log n) in n 16.137 * [taylor]: Taking taylor expansion of n in n 16.137 * [backup-simplify]: Simplify 0 into 0 16.137 * [backup-simplify]: Simplify 1 into 1 16.137 * [backup-simplify]: Simplify (log 1) into 0 16.137 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 16.137 * [backup-simplify]: Simplify (* 1/3 (log n)) into (* 1/3 (log n)) 16.137 * [backup-simplify]: Simplify (exp (* 1/3 (log n))) into (pow n 1/3) 16.137 * [backup-simplify]: Simplify (pow n 1/3) into (pow n 1/3) 16.138 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 16.138 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 16.139 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log n))) into 0 16.139 * [backup-simplify]: Simplify (* (exp (* 1/3 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 16.139 * [backup-simplify]: Simplify 0 into 0 16.141 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 16.141 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 16.142 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log n)))) into 0 16.143 * [backup-simplify]: Simplify (* (exp (* 1/3 (log n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.143 * [backup-simplify]: Simplify 0 into 0 16.146 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 16.146 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 16.147 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log n))))) into 0 16.148 * [backup-simplify]: Simplify (* (exp (* 1/3 (log n))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.148 * [backup-simplify]: Simplify 0 into 0 16.154 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 16.154 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 16.155 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log n)))))) into 0 16.157 * [backup-simplify]: Simplify (* (exp (* 1/3 (log n))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.157 * [backup-simplify]: Simplify 0 into 0 16.167 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 16.167 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 16.168 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log n))))))) into 0 16.171 * [backup-simplify]: Simplify (* (exp (* 1/3 (log n))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.171 * [backup-simplify]: Simplify 0 into 0 16.194 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 16.195 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 16.197 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log n)))))))) into 0 16.203 * [backup-simplify]: Simplify (* (exp (* 1/3 (log n))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.203 * [backup-simplify]: Simplify 0 into 0 16.203 * [backup-simplify]: Simplify (pow n 1/3) into (pow n 1/3) 16.203 * [backup-simplify]: Simplify (cbrt (/ 1 n)) into (pow (/ 1 n) 1/3) 16.203 * [approximate]: Taking taylor expansion of (pow (/ 1 n) 1/3) in (n) around 0 16.204 * [taylor]: Taking taylor expansion of (pow (/ 1 n) 1/3) in n 16.204 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 n)))) in n 16.204 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 n))) in n 16.204 * [taylor]: Taking taylor expansion of 1/3 in n 16.204 * [backup-simplify]: Simplify 1/3 into 1/3 16.204 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 16.204 * [taylor]: Taking taylor expansion of (/ 1 n) in n 16.204 * [taylor]: Taking taylor expansion of n in n 16.204 * [backup-simplify]: Simplify 0 into 0 16.204 * [backup-simplify]: Simplify 1 into 1 16.204 * [backup-simplify]: Simplify (/ 1 1) into 1 16.205 * [backup-simplify]: Simplify (log 1) into 0 16.205 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 16.205 * [backup-simplify]: Simplify (* 1/3 (- (log n))) into (* -1/3 (log n)) 16.205 * [backup-simplify]: Simplify (exp (* -1/3 (log n))) into (pow n -1/3) 16.205 * [taylor]: Taking taylor expansion of (pow (/ 1 n) 1/3) in n 16.205 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 n)))) in n 16.205 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 n))) in n 16.205 * [taylor]: Taking taylor expansion of 1/3 in n 16.205 * [backup-simplify]: Simplify 1/3 into 1/3 16.206 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 16.206 * [taylor]: Taking taylor expansion of (/ 1 n) in n 16.206 * [taylor]: Taking taylor expansion of n in n 16.206 * [backup-simplify]: Simplify 0 into 0 16.206 * [backup-simplify]: Simplify 1 into 1 16.206 * [backup-simplify]: Simplify (/ 1 1) into 1 16.215 * [backup-simplify]: Simplify (log 1) into 0 16.216 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 16.216 * [backup-simplify]: Simplify (* 1/3 (- (log n))) into (* -1/3 (log n)) 16.216 * [backup-simplify]: Simplify (exp (* -1/3 (log n))) into (pow n -1/3) 16.216 * [backup-simplify]: Simplify (pow n -1/3) into (pow n -1/3) 16.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.219 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 16.219 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 16.220 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log n)))) into 0 16.220 * [backup-simplify]: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 16.221 * [backup-simplify]: Simplify 0 into 0 16.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.225 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 16.225 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 16.226 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 16.228 * [backup-simplify]: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.228 * [backup-simplify]: Simplify 0 into 0 16.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.234 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 16.235 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 16.236 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 16.238 * [backup-simplify]: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.238 * [backup-simplify]: Simplify 0 into 0 16.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.244 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 16.245 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 16.246 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n))))))) into 0 16.247 * [backup-simplify]: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.247 * [backup-simplify]: Simplify 0 into 0 16.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.257 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 16.257 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 16.259 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))))) into 0 16.261 * [backup-simplify]: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.261 * [backup-simplify]: Simplify 0 into 0 16.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.278 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 16.278 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 16.280 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n))))))))) into 0 16.283 * [backup-simplify]: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.284 * [backup-simplify]: Simplify 0 into 0 16.284 * [backup-simplify]: Simplify (pow (/ 1 n) -1/3) into (pow (/ 1 n) -1/3) 16.284 * [backup-simplify]: Simplify (cbrt (/ 1 (- n))) into (* (cbrt -1) (pow (/ 1 n) 1/3)) 16.284 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 n) 1/3)) in (n) around 0 16.284 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 n) 1/3)) in n 16.284 * [taylor]: Taking taylor expansion of (cbrt -1) in n 16.284 * [taylor]: Taking taylor expansion of -1 in n 16.284 * [backup-simplify]: Simplify -1 into -1 16.284 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 16.285 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 16.285 * [taylor]: Taking taylor expansion of (pow (/ 1 n) 1/3) in n 16.285 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 n)))) in n 16.285 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 n))) in n 16.285 * [taylor]: Taking taylor expansion of 1/3 in n 16.285 * [backup-simplify]: Simplify 1/3 into 1/3 16.285 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 16.285 * [taylor]: Taking taylor expansion of (/ 1 n) in n 16.285 * [taylor]: Taking taylor expansion of n in n 16.285 * [backup-simplify]: Simplify 0 into 0 16.285 * [backup-simplify]: Simplify 1 into 1 16.285 * [backup-simplify]: Simplify (/ 1 1) into 1 16.285 * [backup-simplify]: Simplify (log 1) into 0 16.286 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 16.286 * [backup-simplify]: Simplify (* 1/3 (- (log n))) into (* -1/3 (log n)) 16.286 * [backup-simplify]: Simplify (exp (* -1/3 (log n))) into (pow n -1/3) 16.286 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 n) 1/3)) in n 16.286 * [taylor]: Taking taylor expansion of (cbrt -1) in n 16.286 * [taylor]: Taking taylor expansion of -1 in n 16.286 * [backup-simplify]: Simplify -1 into -1 16.286 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 16.287 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 16.287 * [taylor]: Taking taylor expansion of (pow (/ 1 n) 1/3) in n 16.287 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 n)))) in n 16.287 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 n))) in n 16.287 * [taylor]: Taking taylor expansion of 1/3 in n 16.287 * [backup-simplify]: Simplify 1/3 into 1/3 16.287 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 16.287 * [taylor]: Taking taylor expansion of (/ 1 n) in n 16.287 * [taylor]: Taking taylor expansion of n in n 16.287 * [backup-simplify]: Simplify 0 into 0 16.287 * [backup-simplify]: Simplify 1 into 1 16.287 * [backup-simplify]: Simplify (/ 1 1) into 1 16.287 * [backup-simplify]: Simplify (log 1) into 0 16.288 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 16.288 * [backup-simplify]: Simplify (* 1/3 (- (log n))) into (* -1/3 (log n)) 16.288 * [backup-simplify]: Simplify (exp (* -1/3 (log n))) into (pow n -1/3) 16.288 * [backup-simplify]: Simplify (* (cbrt -1) (pow n -1/3)) into (* (cbrt -1) (pow (/ 1 n) 1/3)) 16.289 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 n) 1/3)) into (* (cbrt -1) (pow (/ 1 n) 1/3)) 16.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.290 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 16.290 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 16.290 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log n)))) into 0 16.291 * [backup-simplify]: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 16.291 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow n -1/3))) into 0 16.291 * [backup-simplify]: Simplify 0 into 0 16.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.293 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 16.294 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 16.294 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 16.295 * [backup-simplify]: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.296 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 16.297 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow n -1/3)))) into 0 16.297 * [backup-simplify]: Simplify 0 into 0 16.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.300 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 16.300 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 16.301 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 16.302 * [backup-simplify]: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.303 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 16.304 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow n -1/3))))) into 0 16.304 * [backup-simplify]: Simplify 0 into 0 16.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.316 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 16.317 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 16.318 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n))))))) into 0 16.319 * [backup-simplify]: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.320 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 16.322 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow n -1/3)))))) into 0 16.322 * [backup-simplify]: Simplify 0 into 0 16.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.338 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 16.339 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 16.341 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))))) into 0 16.345 * [backup-simplify]: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.347 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 16.349 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow n -1/3))))))) into 0 16.349 * [backup-simplify]: Simplify 0 into 0 16.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.369 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 16.369 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 16.371 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n))))))))) into 0 16.374 * [backup-simplify]: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.375 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 16.376 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow n -1/3)))))))) into 0 16.376 * [backup-simplify]: Simplify 0 into 0 16.377 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 (/ 1 (- n))) 1/3)) into (* (pow (* -1 n) 1/3) (cbrt -1)) 16.377 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 2 1 2) 16.377 * [backup-simplify]: Simplify (cbrt n) into (pow n 1/3) 16.377 * [approximate]: Taking taylor expansion of (pow n 1/3) in (n) around 0 16.377 * [taylor]: Taking taylor expansion of (pow n 1/3) in n 16.377 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log n))) in n 16.377 * [taylor]: Taking taylor expansion of (* 1/3 (log n)) in n 16.377 * [taylor]: Taking taylor expansion of 1/3 in n 16.377 * [backup-simplify]: Simplify 1/3 into 1/3 16.377 * [taylor]: Taking taylor expansion of (log n) in n 16.377 * [taylor]: Taking taylor expansion of n in n 16.377 * [backup-simplify]: Simplify 0 into 0 16.377 * [backup-simplify]: Simplify 1 into 1 16.377 * [backup-simplify]: Simplify (log 1) into 0 16.377 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 16.378 * [backup-simplify]: Simplify (* 1/3 (log n)) into (* 1/3 (log n)) 16.378 * [backup-simplify]: Simplify (exp (* 1/3 (log n))) into (pow n 1/3) 16.378 * [taylor]: Taking taylor expansion of (pow n 1/3) in n 16.378 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log n))) in n 16.378 * [taylor]: Taking taylor expansion of (* 1/3 (log n)) in n 16.378 * [taylor]: Taking taylor expansion of 1/3 in n 16.378 * [backup-simplify]: Simplify 1/3 into 1/3 16.378 * [taylor]: Taking taylor expansion of (log n) in n 16.378 * [taylor]: Taking taylor expansion of n in n 16.378 * [backup-simplify]: Simplify 0 into 0 16.378 * [backup-simplify]: Simplify 1 into 1 16.378 * [backup-simplify]: Simplify (log 1) into 0 16.378 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 16.378 * [backup-simplify]: Simplify (* 1/3 (log n)) into (* 1/3 (log n)) 16.378 * [backup-simplify]: Simplify (exp (* 1/3 (log n))) into (pow n 1/3) 16.379 * [backup-simplify]: Simplify (pow n 1/3) into (pow n 1/3) 16.379 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 16.380 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 16.380 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log n))) into 0 16.380 * [backup-simplify]: Simplify (* (exp (* 1/3 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 16.380 * [backup-simplify]: Simplify 0 into 0 16.383 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 16.383 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 16.384 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log n)))) into 0 16.385 * [backup-simplify]: Simplify (* (exp (* 1/3 (log n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.386 * [backup-simplify]: Simplify 0 into 0 16.391 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 16.391 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 16.392 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log n))))) into 0 16.394 * [backup-simplify]: Simplify (* (exp (* 1/3 (log n))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.394 * [backup-simplify]: Simplify 0 into 0 16.405 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 16.406 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 16.407 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log n)))))) into 0 16.410 * [backup-simplify]: Simplify (* (exp (* 1/3 (log n))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.410 * [backup-simplify]: Simplify 0 into 0 16.429 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 16.430 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 16.431 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log n))))))) into 0 16.435 * [backup-simplify]: Simplify (* (exp (* 1/3 (log n))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.435 * [backup-simplify]: Simplify 0 into 0 16.466 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 16.466 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 16.468 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log n)))))))) into 0 16.471 * [backup-simplify]: Simplify (* (exp (* 1/3 (log n))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.471 * [backup-simplify]: Simplify 0 into 0 16.471 * [backup-simplify]: Simplify (pow n 1/3) into (pow n 1/3) 16.471 * [backup-simplify]: Simplify (cbrt (/ 1 n)) into (pow (/ 1 n) 1/3) 16.471 * [approximate]: Taking taylor expansion of (pow (/ 1 n) 1/3) in (n) around 0 16.471 * [taylor]: Taking taylor expansion of (pow (/ 1 n) 1/3) in n 16.471 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 n)))) in n 16.471 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 n))) in n 16.471 * [taylor]: Taking taylor expansion of 1/3 in n 16.471 * [backup-simplify]: Simplify 1/3 into 1/3 16.471 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 16.471 * [taylor]: Taking taylor expansion of (/ 1 n) in n 16.471 * [taylor]: Taking taylor expansion of n in n 16.472 * [backup-simplify]: Simplify 0 into 0 16.472 * [backup-simplify]: Simplify 1 into 1 16.472 * [backup-simplify]: Simplify (/ 1 1) into 1 16.472 * [backup-simplify]: Simplify (log 1) into 0 16.472 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 16.472 * [backup-simplify]: Simplify (* 1/3 (- (log n))) into (* -1/3 (log n)) 16.472 * [backup-simplify]: Simplify (exp (* -1/3 (log n))) into (pow n -1/3) 16.473 * [taylor]: Taking taylor expansion of (pow (/ 1 n) 1/3) in n 16.473 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 n)))) in n 16.473 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 n))) in n 16.473 * [taylor]: Taking taylor expansion of 1/3 in n 16.473 * [backup-simplify]: Simplify 1/3 into 1/3 16.473 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 16.473 * [taylor]: Taking taylor expansion of (/ 1 n) in n 16.473 * [taylor]: Taking taylor expansion of n in n 16.473 * [backup-simplify]: Simplify 0 into 0 16.473 * [backup-simplify]: Simplify 1 into 1 16.473 * [backup-simplify]: Simplify (/ 1 1) into 1 16.473 * [backup-simplify]: Simplify (log 1) into 0 16.473 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 16.474 * [backup-simplify]: Simplify (* 1/3 (- (log n))) into (* -1/3 (log n)) 16.474 * [backup-simplify]: Simplify (exp (* -1/3 (log n))) into (pow n -1/3) 16.474 * [backup-simplify]: Simplify (pow n -1/3) into (pow n -1/3) 16.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.475 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 16.476 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 16.476 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log n)))) into 0 16.476 * [backup-simplify]: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 16.476 * [backup-simplify]: Simplify 0 into 0 16.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.478 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 16.479 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 16.479 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 16.480 * [backup-simplify]: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.480 * [backup-simplify]: Simplify 0 into 0 16.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.483 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 16.484 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 16.485 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 16.486 * [backup-simplify]: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.486 * [backup-simplify]: Simplify 0 into 0 16.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.492 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 16.492 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 16.493 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n))))))) into 0 16.495 * [backup-simplify]: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.495 * [backup-simplify]: Simplify 0 into 0 16.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.505 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 16.505 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 16.506 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))))) into 0 16.508 * [backup-simplify]: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.508 * [backup-simplify]: Simplify 0 into 0 16.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.526 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 16.526 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 16.528 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n))))))))) into 0 16.531 * [backup-simplify]: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.531 * [backup-simplify]: Simplify 0 into 0 16.531 * [backup-simplify]: Simplify (pow (/ 1 n) -1/3) into (pow (/ 1 n) -1/3) 16.531 * [backup-simplify]: Simplify (cbrt (/ 1 (- n))) into (* (cbrt -1) (pow (/ 1 n) 1/3)) 16.531 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 n) 1/3)) in (n) around 0 16.531 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 n) 1/3)) in n 16.531 * [taylor]: Taking taylor expansion of (cbrt -1) in n 16.531 * [taylor]: Taking taylor expansion of -1 in n 16.531 * [backup-simplify]: Simplify -1 into -1 16.532 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 16.532 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 16.532 * [taylor]: Taking taylor expansion of (pow (/ 1 n) 1/3) in n 16.532 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 n)))) in n 16.532 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 n))) in n 16.532 * [taylor]: Taking taylor expansion of 1/3 in n 16.532 * [backup-simplify]: Simplify 1/3 into 1/3 16.532 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 16.532 * [taylor]: Taking taylor expansion of (/ 1 n) in n 16.532 * [taylor]: Taking taylor expansion of n in n 16.532 * [backup-simplify]: Simplify 0 into 0 16.532 * [backup-simplify]: Simplify 1 into 1 16.533 * [backup-simplify]: Simplify (/ 1 1) into 1 16.533 * [backup-simplify]: Simplify (log 1) into 0 16.533 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 16.533 * [backup-simplify]: Simplify (* 1/3 (- (log n))) into (* -1/3 (log n)) 16.533 * [backup-simplify]: Simplify (exp (* -1/3 (log n))) into (pow n -1/3) 16.533 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 n) 1/3)) in n 16.533 * [taylor]: Taking taylor expansion of (cbrt -1) in n 16.533 * [taylor]: Taking taylor expansion of -1 in n 16.533 * [backup-simplify]: Simplify -1 into -1 16.534 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 16.534 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 16.534 * [taylor]: Taking taylor expansion of (pow (/ 1 n) 1/3) in n 16.534 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 n)))) in n 16.534 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 n))) in n 16.534 * [taylor]: Taking taylor expansion of 1/3 in n 16.534 * [backup-simplify]: Simplify 1/3 into 1/3 16.534 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 16.534 * [taylor]: Taking taylor expansion of (/ 1 n) in n 16.534 * [taylor]: Taking taylor expansion of n in n 16.534 * [backup-simplify]: Simplify 0 into 0 16.534 * [backup-simplify]: Simplify 1 into 1 16.535 * [backup-simplify]: Simplify (/ 1 1) into 1 16.535 * [backup-simplify]: Simplify (log 1) into 0 16.535 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 16.535 * [backup-simplify]: Simplify (* 1/3 (- (log n))) into (* -1/3 (log n)) 16.535 * [backup-simplify]: Simplify (exp (* -1/3 (log n))) into (pow n -1/3) 16.542 * [backup-simplify]: Simplify (* (cbrt -1) (pow n -1/3)) into (* (cbrt -1) (pow (/ 1 n) 1/3)) 16.543 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 n) 1/3)) into (* (cbrt -1) (pow (/ 1 n) 1/3)) 16.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.544 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 16.544 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 16.545 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log n)))) into 0 16.545 * [backup-simplify]: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 16.546 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow n -1/3))) into 0 16.546 * [backup-simplify]: Simplify 0 into 0 16.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.548 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 16.548 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 16.548 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 16.549 * [backup-simplify]: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.550 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 16.551 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow n -1/3)))) into 0 16.551 * [backup-simplify]: Simplify 0 into 0 16.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.554 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 16.555 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 16.555 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 16.556 * [backup-simplify]: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.557 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 16.558 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow n -1/3))))) into 0 16.558 * [backup-simplify]: Simplify 0 into 0 16.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.565 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 16.565 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 16.566 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n))))))) into 0 16.568 * [backup-simplify]: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.569 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 16.570 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow n -1/3)))))) into 0 16.570 * [backup-simplify]: Simplify 0 into 0 16.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.580 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 16.580 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 16.582 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))))) into 0 16.584 * [backup-simplify]: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.585 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 16.586 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow n -1/3))))))) into 0 16.586 * [backup-simplify]: Simplify 0 into 0 16.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.610 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 16.610 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 16.612 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n))))))))) into 0 16.619 * [backup-simplify]: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.621 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 16.623 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow n -1/3)))))))) into 0 16.623 * [backup-simplify]: Simplify 0 into 0 16.624 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 (/ 1 (- n))) 1/3)) into (* (pow (* -1 n) 1/3) (cbrt -1)) 16.624 * * * [progress]: simplifying candidates 16.627 * [simplify]: Simplifying: (* (+ (log 2.0) (+ (+ (log (cbrt n)) (log (cbrt n))) (+ (log (cbrt n)) (log PI)))) (/ (- 1.0 k) 2.0)) (* (+ (log 2.0) (+ (+ (log (cbrt n)) (log (cbrt n))) (log (* (cbrt n) PI)))) (/ (- 1.0 k) 2.0)) (* (+ (log 2.0) (+ (log (* (cbrt n) (cbrt n))) (+ (log (cbrt n)) (log PI)))) (/ (- 1.0 k) 2.0)) (* (+ (log 2.0) (+ (log (* (cbrt n) (cbrt n))) (log (* (cbrt n) PI)))) (/ (- 1.0 k) 2.0)) (* (+ (log 2.0) (log (* (* (cbrt n) (cbrt n)) (* (cbrt n) PI)))) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 (* (* (cbrt n) (cbrt n)) (* (cbrt n) PI)))) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 (* (* (cbrt n) (cbrt n)) (* (cbrt n) PI)))) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* 2.0 (* (* (cbrt n) (cbrt n)) (* (cbrt n) PI))) (/ 1.0 2.0)) (pow (* 2.0 (* (* (cbrt n) (cbrt n)) (* (cbrt n) PI))) (/ k 2.0)) (pow (* 2.0 (* (* (cbrt n) (cbrt n)) (* (cbrt n) PI))) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 (* (* (cbrt n) (cbrt n)) (* (cbrt n) PI))) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 (* (* (cbrt n) (cbrt n)) (* (cbrt n) PI))) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* (* (cbrt n) (cbrt n)) (* (cbrt n) PI))) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 (* (* (cbrt n) (cbrt n)) (* (cbrt n) PI))) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* 2.0 (* (* (cbrt n) (cbrt n)) (* (cbrt n) PI))) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* (* (cbrt n) (cbrt n)) (* (cbrt n) PI))) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 (* (* (cbrt n) (cbrt n)) (* (cbrt n) PI))) (/ (sqrt (- 1.0 k)) 1)) (pow (* 2.0 (* (* (cbrt n) (cbrt n)) (* (cbrt n) PI))) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* (* (cbrt n) (cbrt n)) (* (cbrt n) PI))) (/ 1 (sqrt 2.0))) (pow (* 2.0 (* (* (cbrt n) (cbrt n)) (* (cbrt n) PI))) (/ 1 1)) (pow (* 2.0 (* (* (cbrt n) (cbrt n)) (* (cbrt n) PI))) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* (* (cbrt n) (cbrt n)) (* (cbrt n) PI))) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 (* (* (cbrt n) (cbrt n)) 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2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (log (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (exp (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (log (cbrt n)) (exp (cbrt n)) (cbrt (* (cbrt n) (cbrt n))) (cbrt (cbrt n)) (cbrt (sqrt n)) (cbrt (sqrt n)) (cbrt 1) (cbrt n) (* (cbrt (cbrt n)) (cbrt (cbrt n))) (cbrt (cbrt n)) (* (* (cbrt n) (cbrt n)) (cbrt n)) (sqrt (cbrt n)) (sqrt (cbrt n)) (log (cbrt n)) (exp (cbrt n)) (cbrt (* (cbrt n) (cbrt n))) (cbrt (cbrt n)) (cbrt (sqrt n)) (cbrt (sqrt n)) (cbrt 1) (cbrt n) (* (cbrt (cbrt n)) (cbrt (cbrt n))) (cbrt (cbrt n)) (* (* (cbrt n) (cbrt n)) (cbrt n)) (sqrt (cbrt n)) (sqrt (cbrt n)) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* 0.03125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (+ (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.0625 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (* 0.03125 (* (pow k 2) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))))))) (+ (* 0.25 (* k (* (log (* 2.0 PI)) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (* 0.25 (* k (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow n 1/3) (pow (/ 1 n) -1/3) (* (pow (* -1 n) 1/3) (cbrt -1)) (pow n 1/3) (pow (/ 1 n) -1/3) (* (pow (* -1 n) 1/3) (cbrt -1)) 16.631 * * [simplify]: Extracting # 0 : cost 0 16.631 * * [simplify]: Extracting # 1 : cost 0 16.631 * * [simplify]: Extracting # 2 : cost 0 16.632 * * [simplify]: Extracting # 3 : cost 0 16.632 * * [simplify]: Extracting # 4 : cost 0 16.633 * * [simplify]: Extracting # 5 : cost 0 16.633 * * [simplify]: Extracting # 6 : cost 0 16.633 * * [simplify]: Extracting # 7 : cost 0 16.640 * * [simplify]: Extracting # 8 : cost 0 16.640 * * [simplify]: Extracting # 9 : cost 0 16.641 * * [simplify]: Extracting # 10 : cost 0 16.641 * * [simplify]: Extracting # 11 : cost 0 16.642 * * [simplify]: Extracting # 12 : cost 0 16.642 * * [simplify]: iteration 0 : 317 enodes (cost 2608 ) 16.770 * * [simplify]: Extracting # 0 : cost 0 16.773 * * [simplify]: Extracting # 1 : cost 0 16.775 * * [simplify]: Extracting # 2 : cost 0 16.778 * * [simplify]: Extracting # 3 : cost 0 16.781 * * [simplify]: Extracting # 4 : cost 0 16.783 * * [simplify]: Extracting # 5 : cost 0 16.786 * * [simplify]: iteration 1 : 847 enodes (cost 2419 ) 17.333 * * [simplify]: Extracting # 0 : cost 0 17.339 * * [simplify]: Extracting # 1 : cost 0 17.346 * * [simplify]: Extracting # 2 : cost 0 17.353 * * [simplify]: Extracting # 3 : cost 0 17.365 * * [simplify]: Extracting # 4 : cost 0 17.372 * * [simplify]: Extracting # 5 : cost 0 17.376 * * [simplify]: iteration 2 : 2475 enodes (cost 2180 ) 18.265 * * [simplify]: Extracting # 0 : cost 0 18.272 * * [simplify]: Extracting # 1 : cost 0 18.279 * * [simplify]: Extracting # 2 : cost 0 18.286 * * [simplify]: Extracting # 3 : cost 0 18.296 * * [simplify]: Extracting # 4 : cost 0 18.310 * * [simplify]: iteration done: 5000 enodes (cost 2057 ) 18.312 * [simplify]: Simplified to: (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* n (* 2.0 PI)) (/ 1.0 2.0)) (pow (* n (* 2.0 PI)) (/ k 2.0)) (pow (* n (* 2.0 PI)) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* n (* 2.0 PI)) (sqrt (/ (- 1.0 k) 2.0))) (pow (* n (* 2.0 PI)) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* n (* 2.0 PI)) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* n (* 2.0 PI)) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* n (* 2.0 PI)) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* n (* 2.0 PI)) (sqrt (- 1.0 k))) (pow (* n (* 2.0 PI)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* n (* 2.0 PI)) (/ 1 (sqrt 2.0))) (* n (* 2.0 PI)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (pow (* n (* 2.0 PI)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* n (* 2.0 PI)) (/ 1 (sqrt 2.0))) (* n (* 2.0 PI)) (* n (* 2.0 PI)) (pow (* n (* 2.0 PI)) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow (* PI n) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (exp (pow (* n (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (pow (* n (* 2.0 PI)) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* n (* 2.0 PI)) (* (/ (- 1.0 k) 2.0) 1/2)) (pow (* n (* 2.0 PI)) (* (/ (- 1.0 k) 2.0) 1/2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (/ (- 1.0 k) 2.0) 1/2) (* (/ (- 1.0 k) 2.0) 1/2) (* (/ (- 1.0 k) 2.0) 1/2) (pow (* n (* 2.0 PI)) (/ (/ 1.0 2.0) 2)) (pow (* n (* 2.0 PI)) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow (* n (* 2.0 PI)) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow (* n (* 2.0 PI)) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* n (* 2.0 PI)) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow (* n (* 2.0 PI)) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2))) (pow (* (* 2.0 PI) n) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* n (* 2.0 PI)) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow (* n (* 2.0 PI)) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2))) (pow (* n (* 2.0 PI)) (sqrt (- 1.0 k))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* n (* 2.0 PI)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* n (* 2.0 PI)) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (* n (* 2.0 PI)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2))) (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* n (* 2.0 PI)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* n (* 2.0 PI)) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (* n (* 2.0 PI)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (* n (* 2.0 PI)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (sqrt 2))) (pow (* n (* 2.0 PI)) (- 1.0 k)) (* n (* 2.0 PI)) (pow (* n (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (exp (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (pow (* n (* 2.0 PI)) (* (/ (- 1.0 k) 2.0) 1/2)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 4)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 4)) (log (cbrt n)) (exp (cbrt n)) (cbrt (pow n 2/3)) (cbrt (cbrt n)) (cbrt (sqrt n)) (cbrt (sqrt n)) 1 (cbrt n) (* (cbrt (cbrt n)) (cbrt (cbrt n))) (cbrt (cbrt n)) n (sqrt (cbrt n)) (sqrt (cbrt n)) (log (cbrt n)) (exp (cbrt n)) (cbrt (pow n 2/3)) (cbrt (cbrt n)) (cbrt (sqrt n)) (cbrt (sqrt n)) 1 (cbrt n) (* (cbrt (cbrt n)) (cbrt (cbrt n))) (cbrt (cbrt n)) n (sqrt (cbrt n)) (sqrt (cbrt n)) (- (+ (+ (pow (* (* 2.0 PI) n) 0.5) (* (* (log n) (* (pow (* (* 2.0 PI) n) 0.5) (log (* 2.0 PI)))) (* 0.25 (pow k 2)))) (* (* 0.125 (pow k 2)) (+ (* (pow (log (* 2.0 PI)) 2) (pow (* (* 2.0 PI) n) 0.5)) (* (pow (log n) 2) (pow (* (* 2.0 PI) n) 0.5))))) (* (* 0.5 k) (+ (* (pow (* (* 2.0 PI) n) 0.5) (log n)) (* (pow (* (* 2.0 PI) n) 0.5) (log (* 2.0 PI)))))) (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (+ (+ (* (* (pow (log (* 2.0 PI)) 2) (pow (* (* 2.0 PI) n) 0.25)) (* 0.03125 (pow k 2))) (pow (* (* 2.0 PI) n) 0.25)) (* (* (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (* 2.0 PI) n) 0.25)) (log n)) 0.0625)) (* (* (pow (* (* 2.0 PI) n) 0.25) (pow (log n) 2)) (* 0.03125 (pow k 2)))) (* (* 0.25 k) (+ (* (log n) (pow (* (* 2.0 PI) n) 0.25)) (* (log (* 2.0 PI)) (pow (* (* 2.0 PI) n) 0.25))))) (pow (pow (* (* 2.0 PI) n) 0.25) (- 1.0 k)) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (cbrt n) (pow (/ 1 n) -1/3) (* (cbrt (- n)) (cbrt -1)) (cbrt n) (pow (/ 1 n) -1/3) (* (cbrt (- n)) (cbrt -1)) 18.315 * * * [progress]: adding candidates to table 19.300 * [progress]: [Phase 3 of 3] Extracting. 19.300 * * [regime]: Finding splitpoints for: (# # # # # # #)