49.712 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.139 * * * [progress]: [2/2] Setting up program. 0.142 * [progress]: [Phase 2 of 3] Improving. 0.142 * [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 ) 0.145 * * [simplify]: Extracting # 0 : cost 0 0.146 * * [simplify]: Extracting # 1 : cost 0 0.146 * * [simplify]: Extracting # 2 : cost 0 0.146 * * [simplify]: Extracting # 3 : cost 0 0.146 * * [simplify]: Extracting # 4 : cost 0 0.146 * * [simplify]: Extracting # 5 : cost 0 0.146 * * [simplify]: iteration 1 : 29 enodes (cost 16 ) 0.152 * * [simplify]: Extracting # 0 : cost 0 0.152 * * [simplify]: Extracting # 1 : cost 0 0.152 * * [simplify]: Extracting # 2 : cost 0 0.152 * * [simplify]: Extracting # 3 : cost 0 0.152 * * [simplify]: Extracting # 4 : cost 0 0.152 * * [simplify]: iteration 2 : 59 enodes (cost 16 ) 0.195 * * [simplify]: Extracting # 0 : cost 0 0.195 * * [simplify]: Extracting # 1 : cost 0 0.195 * * [simplify]: Extracting # 2 : cost 0 0.195 * * [simplify]: Extracting # 3 : cost 0 0.195 * * [simplify]: Extracting # 4 : cost 0 0.195 * * [simplify]: iteration 3 : 119 enodes (cost 16 ) 0.235 * * [simplify]: Extracting # 0 : cost 0 0.235 * * [simplify]: Extracting # 1 : cost 0 0.235 * * [simplify]: Extracting # 2 : cost 0 0.236 * * [simplify]: Extracting # 3 : cost 0 0.236 * * [simplify]: Extracting # 4 : cost 0 0.236 * * [simplify]: iteration 4 : 313 enodes (cost 16 ) 0.495 * * [simplify]: Extracting # 0 : cost 0 0.496 * * [simplify]: Extracting # 1 : cost 0 0.496 * * [simplify]: Extracting # 2 : cost 0 0.497 * * [simplify]: Extracting # 3 : cost 0 0.498 * * [simplify]: Extracting # 4 : cost 0 0.499 * * [simplify]: iteration 5 : 843 enodes (cost 16 ) 2.097 * * [simplify]: Extracting # 0 : cost 0 2.104 * * [simplify]: Extracting # 1 : cost 0 2.110 * * [simplify]: Extracting # 2 : cost 0 2.116 * * [simplify]: Extracting # 3 : cost 0 2.121 * * [simplify]: Extracting # 4 : cost 0 2.126 * * [simplify]: iteration 6 : 3221 enodes (cost 16 ) 3.944 * * [simplify]: Extracting # 0 : cost 0 3.950 * * [simplify]: Extracting # 1 : cost 0 3.959 * * [simplify]: Extracting # 2 : cost 0 3.969 * * [simplify]: Extracting # 3 : cost 0 3.978 * * [simplify]: Extracting # 4 : cost 0 3.988 * * [simplify]: iteration done: 5001 enodes (cost 16 ) 3.988 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3.989 * * [progress]: iteration 1 / 4 3.989 * * * [progress]: picking best candidate 3.993 * * * * [pick]: Picked # 3.994 * * * [progress]: localizing error 4.027 * * * [progress]: generating rewritten candidates 4.027 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 4.069 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 4.097 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 4.111 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 4.187 * * * [progress]: generating series expansions 4.187 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 4.188 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 4.188 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 4.188 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.188 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.188 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.188 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.188 * [taylor]: Taking taylor expansion of 0.5 in k 4.189 * [backup-simplify]: Simplify 0.5 into 0.5 4.189 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.189 * [taylor]: Taking taylor expansion of 1.0 in k 4.189 * [backup-simplify]: Simplify 1.0 into 1.0 4.189 * [taylor]: Taking taylor expansion of k in k 4.189 * [backup-simplify]: Simplify 0 into 0 4.189 * [backup-simplify]: Simplify 1 into 1 4.189 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.189 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.189 * [taylor]: Taking taylor expansion of 2.0 in k 4.189 * [backup-simplify]: Simplify 2.0 into 2.0 4.189 * [taylor]: Taking taylor expansion of (* n PI) in k 4.189 * [taylor]: Taking taylor expansion of n in k 4.189 * [backup-simplify]: Simplify n into n 4.189 * [taylor]: Taking taylor expansion of PI in k 4.189 * [backup-simplify]: Simplify PI into PI 4.189 * [backup-simplify]: Simplify (* n PI) into (* n PI) 4.189 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 4.189 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 4.190 * [backup-simplify]: Simplify (- 0) into 0 4.190 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.191 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.191 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 4.191 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 4.191 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.191 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.191 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.191 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.191 * [taylor]: Taking taylor expansion of 0.5 in n 4.192 * [backup-simplify]: Simplify 0.5 into 0.5 4.192 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.192 * [taylor]: Taking taylor expansion of 1.0 in n 4.192 * [backup-simplify]: Simplify 1.0 into 1.0 4.192 * [taylor]: Taking taylor expansion of k in n 4.192 * [backup-simplify]: Simplify k into k 4.192 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.192 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.192 * [taylor]: Taking taylor expansion of 2.0 in n 4.192 * [backup-simplify]: Simplify 2.0 into 2.0 4.192 * [taylor]: Taking taylor expansion of (* n PI) in n 4.192 * [taylor]: Taking taylor expansion of n in n 4.192 * [backup-simplify]: Simplify 0 into 0 4.192 * [backup-simplify]: Simplify 1 into 1 4.192 * [taylor]: Taking taylor expansion of PI in n 4.192 * [backup-simplify]: Simplify PI into PI 4.193 * [backup-simplify]: Simplify (* 0 PI) into 0 4.193 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.195 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.197 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.198 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.198 * [backup-simplify]: Simplify (- k) into (- k) 4.198 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 4.198 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 4.200 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.201 * [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)))) 4.202 * [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))))) 4.202 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.202 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.202 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.202 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.202 * [taylor]: Taking taylor expansion of 0.5 in n 4.202 * [backup-simplify]: Simplify 0.5 into 0.5 4.202 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.202 * [taylor]: Taking taylor expansion of 1.0 in n 4.202 * [backup-simplify]: Simplify 1.0 into 1.0 4.202 * [taylor]: Taking taylor expansion of k in n 4.202 * [backup-simplify]: Simplify k into k 4.202 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.202 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.202 * [taylor]: Taking taylor expansion of 2.0 in n 4.202 * [backup-simplify]: Simplify 2.0 into 2.0 4.202 * [taylor]: Taking taylor expansion of (* n PI) in n 4.202 * [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 4.203 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.205 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.207 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.208 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.208 * [backup-simplify]: Simplify (- k) into (- k) 4.208 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 4.208 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 4.209 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.210 * [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)))) 4.212 * [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))))) 4.212 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 4.212 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 4.212 * [taylor]: Taking taylor expansion of 0.5 in k 4.212 * [backup-simplify]: Simplify 0.5 into 0.5 4.212 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 4.212 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.212 * [taylor]: Taking taylor expansion of 1.0 in k 4.212 * [backup-simplify]: Simplify 1.0 into 1.0 4.212 * [taylor]: Taking taylor expansion of k in k 4.212 * [backup-simplify]: Simplify 0 into 0 4.212 * [backup-simplify]: Simplify 1 into 1 4.212 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 4.212 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.212 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.212 * [taylor]: Taking taylor expansion of 2.0 in k 4.212 * [backup-simplify]: Simplify 2.0 into 2.0 4.212 * [taylor]: Taking taylor expansion of PI in k 4.212 * [backup-simplify]: Simplify PI into PI 4.213 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.214 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.214 * [taylor]: Taking taylor expansion of (log n) in k 4.214 * [taylor]: Taking taylor expansion of n in k 4.214 * [backup-simplify]: Simplify n into n 4.214 * [backup-simplify]: Simplify (log n) into (log n) 4.214 * [backup-simplify]: Simplify (- 0) into 0 4.214 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.215 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 4.216 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 4.218 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 4.219 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 4.220 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 4.221 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 4.222 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 4.224 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 4.224 * [backup-simplify]: Simplify (- 0) into 0 4.225 * [backup-simplify]: Simplify (+ 0 0) into 0 4.225 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 4.227 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.228 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 4.230 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.230 * [taylor]: Taking taylor expansion of 0 in k 4.230 * [backup-simplify]: Simplify 0 into 0 4.230 * [backup-simplify]: Simplify 0 into 0 4.231 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 4.232 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 4.233 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 4.234 * [backup-simplify]: Simplify (+ 0 0) into 0 4.234 * [backup-simplify]: Simplify (- 1) into -1 4.235 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.236 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 4.238 * [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)))) 4.242 * [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)))))) 4.245 * [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)))))) 4.246 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 4.247 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 4.251 * [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 4.251 * [backup-simplify]: Simplify (- 0) into 0 4.252 * [backup-simplify]: Simplify (+ 0 0) into 0 4.252 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 4.254 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.255 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 4.258 * [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 4.258 * [taylor]: Taking taylor expansion of 0 in k 4.258 * [backup-simplify]: Simplify 0 into 0 4.258 * [backup-simplify]: Simplify 0 into 0 4.258 * [backup-simplify]: Simplify 0 into 0 4.259 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.263 * [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 4.265 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 4.265 * [backup-simplify]: Simplify (+ 0 0) into 0 4.266 * [backup-simplify]: Simplify (- 0) into 0 4.266 * [backup-simplify]: Simplify (+ 0 0) into 0 4.268 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 4.270 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 4.275 * [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)))))) 4.280 * [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)))))) 4.291 * [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)))))) 4.293 * [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)))) 4.293 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 4.293 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.293 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.293 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.293 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.293 * [taylor]: Taking taylor expansion of 0.5 in k 4.293 * [backup-simplify]: Simplify 0.5 into 0.5 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 4.294 * [backup-simplify]: Simplify (/ 1 1) into 1 4.294 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.294 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.294 * [taylor]: Taking taylor expansion of 2.0 in k 4.294 * [backup-simplify]: Simplify 2.0 into 2.0 4.294 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.294 * [taylor]: Taking taylor expansion of PI in k 4.294 * [backup-simplify]: Simplify PI into PI 4.294 * [taylor]: Taking taylor expansion of n in k 4.294 * [backup-simplify]: Simplify n into n 4.294 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.294 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 4.294 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 4.295 * [backup-simplify]: Simplify (- 1) into -1 4.295 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.296 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 4.296 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 4.296 * [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))))) 4.296 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.296 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.296 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.296 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.296 * [taylor]: Taking taylor expansion of 0.5 in n 4.296 * [backup-simplify]: Simplify 0.5 into 0.5 4.296 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.296 * [taylor]: Taking taylor expansion of 1.0 in n 4.296 * [backup-simplify]: Simplify 1.0 into 1.0 4.296 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.296 * [taylor]: Taking taylor expansion of k in n 4.296 * [backup-simplify]: Simplify k into k 4.297 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.297 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.297 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.297 * [taylor]: Taking taylor expansion of 2.0 in n 4.297 * [backup-simplify]: Simplify 2.0 into 2.0 4.297 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.297 * [taylor]: Taking taylor expansion of PI in n 4.297 * [backup-simplify]: Simplify PI into PI 4.297 * [taylor]: Taking taylor expansion of n in n 4.297 * [backup-simplify]: Simplify 0 into 0 4.297 * [backup-simplify]: Simplify 1 into 1 4.297 * [backup-simplify]: Simplify (/ PI 1) into PI 4.298 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.299 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.299 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.299 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.299 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 4.301 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.302 * [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)))) 4.303 * [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))))) 4.303 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.303 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.303 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.303 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.303 * [taylor]: Taking taylor expansion of 0.5 in n 4.303 * [backup-simplify]: Simplify 0.5 into 0.5 4.303 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.304 * [taylor]: Taking taylor expansion of 1.0 in n 4.304 * [backup-simplify]: Simplify 1.0 into 1.0 4.304 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.304 * [taylor]: Taking taylor expansion of k in n 4.304 * [backup-simplify]: Simplify k into k 4.304 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.304 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.304 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.304 * [taylor]: Taking taylor expansion of 2.0 in n 4.304 * [backup-simplify]: Simplify 2.0 into 2.0 4.304 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.304 * [taylor]: Taking taylor expansion of PI in n 4.304 * [backup-simplify]: Simplify PI into PI 4.304 * [taylor]: Taking taylor expansion of n in n 4.304 * [backup-simplify]: Simplify 0 into 0 4.304 * [backup-simplify]: Simplify 1 into 1 4.304 * [backup-simplify]: Simplify (/ PI 1) into PI 4.305 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.306 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.306 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.306 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.306 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 4.308 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.309 * [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)))) 4.310 * [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))))) 4.310 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 4.310 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 4.311 * [taylor]: Taking taylor expansion of 0.5 in k 4.311 * [backup-simplify]: Simplify 0.5 into 0.5 4.311 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 4.311 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 4.311 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.311 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.311 * [taylor]: Taking taylor expansion of 2.0 in k 4.311 * [backup-simplify]: Simplify 2.0 into 2.0 4.311 * [taylor]: Taking taylor expansion of PI in k 4.311 * [backup-simplify]: Simplify PI into PI 4.311 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.318 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.318 * [taylor]: Taking taylor expansion of (log n) in k 4.318 * [taylor]: Taking taylor expansion of n in k 4.318 * [backup-simplify]: Simplify n into n 4.318 * [backup-simplify]: Simplify (log n) into (log n) 4.318 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.318 * [taylor]: Taking taylor expansion of 1.0 in k 4.318 * [backup-simplify]: Simplify 1.0 into 1.0 4.318 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.318 * [taylor]: Taking taylor expansion of k in k 4.318 * [backup-simplify]: Simplify 0 into 0 4.318 * [backup-simplify]: Simplify 1 into 1 4.319 * [backup-simplify]: Simplify (/ 1 1) into 1 4.319 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 4.320 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 4.320 * [backup-simplify]: Simplify (- 1) into -1 4.321 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.322 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 4.323 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 4.324 * [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))))) 4.326 * [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))))) 4.327 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.328 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 4.329 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 4.330 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.330 * [backup-simplify]: Simplify (- 0) into 0 4.330 * [backup-simplify]: Simplify (+ 0 0) into 0 4.331 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 4.332 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.334 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 4.335 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.336 * [taylor]: Taking taylor expansion of 0 in k 4.336 * [backup-simplify]: Simplify 0 into 0 4.336 * [backup-simplify]: Simplify 0 into 0 4.336 * [backup-simplify]: Simplify 0 into 0 4.337 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.337 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.339 * [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 4.339 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.340 * [backup-simplify]: Simplify (- 0) into 0 4.340 * [backup-simplify]: Simplify (+ 0 0) into 0 4.340 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 4.341 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.342 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 4.344 * [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 4.344 * [taylor]: Taking taylor expansion of 0 in k 4.344 * [backup-simplify]: Simplify 0 into 0 4.344 * [backup-simplify]: Simplify 0 into 0 4.344 * [backup-simplify]: Simplify 0 into 0 4.344 * [backup-simplify]: Simplify 0 into 0 4.345 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.346 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.349 * [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 4.349 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.349 * [backup-simplify]: Simplify (- 0) into 0 4.350 * [backup-simplify]: Simplify (+ 0 0) into 0 4.350 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 4.351 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.353 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 4.354 * [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 4.354 * [taylor]: Taking taylor expansion of 0 in k 4.354 * [backup-simplify]: Simplify 0 into 0 4.354 * [backup-simplify]: Simplify 0 into 0 4.355 * [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)))) 4.356 * [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))) 4.356 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 4.356 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.356 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.356 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.356 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.356 * [taylor]: Taking taylor expansion of 0.5 in k 4.356 * [backup-simplify]: Simplify 0.5 into 0.5 4.356 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.356 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.356 * [taylor]: Taking taylor expansion of k in k 4.356 * [backup-simplify]: Simplify 0 into 0 4.356 * [backup-simplify]: Simplify 1 into 1 4.356 * [backup-simplify]: Simplify (/ 1 1) into 1 4.356 * [taylor]: Taking taylor expansion of 1.0 in k 4.356 * [backup-simplify]: Simplify 1.0 into 1.0 4.356 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.356 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.356 * [taylor]: Taking taylor expansion of -2.0 in k 4.356 * [backup-simplify]: Simplify -2.0 into -2.0 4.356 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.356 * [taylor]: Taking taylor expansion of PI in k 4.356 * [backup-simplify]: Simplify PI into PI 4.356 * [taylor]: Taking taylor expansion of n in k 4.356 * [backup-simplify]: Simplify n into n 4.356 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.356 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 4.356 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 4.357 * [backup-simplify]: Simplify (+ 1 0) into 1 4.357 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.357 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 4.357 * [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)))))) 4.357 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.357 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.357 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.357 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.357 * [taylor]: Taking taylor expansion of 0.5 in n 4.357 * [backup-simplify]: Simplify 0.5 into 0.5 4.357 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.357 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.357 * [taylor]: Taking taylor expansion of k in n 4.357 * [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 4.358 * [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 (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.362 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.362 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.362 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.362 * [taylor]: Taking taylor expansion of 0.5 in n 4.362 * [backup-simplify]: Simplify 0.5 into 0.5 4.362 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.362 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.362 * [taylor]: Taking taylor expansion of k in n 4.362 * [backup-simplify]: Simplify k into k 4.362 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.362 * [taylor]: Taking taylor expansion of 1.0 in n 4.362 * [backup-simplify]: Simplify 1.0 into 1.0 4.362 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.362 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.362 * [taylor]: Taking taylor expansion of -2.0 in n 4.362 * [backup-simplify]: Simplify -2.0 into -2.0 4.362 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.362 * [taylor]: Taking taylor expansion of PI in n 4.362 * [backup-simplify]: Simplify PI into PI 4.362 * [taylor]: Taking taylor expansion of n in n 4.362 * [backup-simplify]: Simplify 0 into 0 4.362 * [backup-simplify]: Simplify 1 into 1 4.362 * [backup-simplify]: Simplify (/ PI 1) into PI 4.363 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.363 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.363 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.363 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 4.364 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.365 * [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)))) 4.367 * [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))))) 4.367 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 4.367 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 4.367 * [taylor]: Taking taylor expansion of 0.5 in k 4.367 * [backup-simplify]: Simplify 0.5 into 0.5 4.367 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 4.367 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.367 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.367 * [taylor]: Taking taylor expansion of k in k 4.367 * [backup-simplify]: Simplify 0 into 0 4.367 * [backup-simplify]: Simplify 1 into 1 4.368 * [backup-simplify]: Simplify (/ 1 1) into 1 4.368 * [taylor]: Taking taylor expansion of 1.0 in k 4.368 * [backup-simplify]: Simplify 1.0 into 1.0 4.368 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 4.368 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 4.368 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 4.368 * [taylor]: Taking taylor expansion of -2.0 in k 4.368 * [backup-simplify]: Simplify -2.0 into -2.0 4.368 * [taylor]: Taking taylor expansion of PI in k 4.368 * [backup-simplify]: Simplify PI into PI 4.368 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.369 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.370 * [taylor]: Taking taylor expansion of (log n) in k 4.370 * [taylor]: Taking taylor expansion of n in k 4.370 * [backup-simplify]: Simplify n into n 4.370 * [backup-simplify]: Simplify (log n) into (log n) 4.370 * [backup-simplify]: Simplify (+ 1 0) into 1 4.370 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 4.371 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 4.372 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 4.374 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 4.375 * [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))))) 4.376 * [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))))) 4.377 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.378 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 4.380 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 4.380 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.381 * [backup-simplify]: Simplify (+ 0 0) into 0 4.381 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 4.383 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.384 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 4.386 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.386 * [taylor]: Taking taylor expansion of 0 in k 4.386 * [backup-simplify]: Simplify 0 into 0 4.386 * [backup-simplify]: Simplify 0 into 0 4.387 * [backup-simplify]: Simplify 0 into 0 4.388 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.389 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.392 * [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 4.393 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.393 * [backup-simplify]: Simplify (+ 0 0) into 0 4.395 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 4.396 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.398 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 4.400 * [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 4.400 * [taylor]: Taking taylor expansion of 0 in k 4.400 * [backup-simplify]: Simplify 0 into 0 4.400 * [backup-simplify]: Simplify 0 into 0 4.401 * [backup-simplify]: Simplify 0 into 0 4.401 * [backup-simplify]: Simplify 0 into 0 4.402 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.403 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.409 * [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 4.409 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.410 * [backup-simplify]: Simplify (+ 0 0) into 0 4.411 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 4.413 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.415 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 4.418 * [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 4.418 * [taylor]: Taking taylor expansion of 0 in k 4.418 * [backup-simplify]: Simplify 0 into 0 4.418 * [backup-simplify]: Simplify 0 into 0 4.419 * [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)))))) 4.419 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 4.420 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 4.420 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 4.420 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.420 * [taylor]: Taking taylor expansion of 2.0 in n 4.420 * [backup-simplify]: Simplify 2.0 into 2.0 4.420 * [taylor]: Taking taylor expansion of (* n PI) in n 4.420 * [taylor]: Taking taylor expansion of n in n 4.420 * [backup-simplify]: Simplify 0 into 0 4.420 * [backup-simplify]: Simplify 1 into 1 4.420 * [taylor]: Taking taylor expansion of PI in n 4.420 * [backup-simplify]: Simplify PI into PI 4.420 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.420 * [taylor]: Taking taylor expansion of 2.0 in n 4.420 * [backup-simplify]: Simplify 2.0 into 2.0 4.421 * [taylor]: Taking taylor expansion of (* n PI) in n 4.421 * [taylor]: Taking taylor expansion of n in n 4.421 * [backup-simplify]: Simplify 0 into 0 4.421 * [backup-simplify]: Simplify 1 into 1 4.421 * [taylor]: Taking taylor expansion of PI in n 4.421 * [backup-simplify]: Simplify PI into PI 4.421 * [backup-simplify]: Simplify (* 0 PI) into 0 4.422 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.422 * [backup-simplify]: Simplify 0 into 0 4.423 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.425 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.425 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.426 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 4.427 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 4.428 * [backup-simplify]: Simplify 0 into 0 4.429 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 4.430 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 4.430 * [backup-simplify]: Simplify 0 into 0 4.432 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 4.433 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 4.433 * [backup-simplify]: Simplify 0 into 0 4.435 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 4.436 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 4.436 * [backup-simplify]: Simplify 0 into 0 4.438 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 4.440 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 4.440 * [backup-simplify]: Simplify 0 into 0 4.442 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 4.444 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 4.444 * [backup-simplify]: Simplify 0 into 0 4.445 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 4.445 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 4.445 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 4.445 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.445 * [taylor]: Taking taylor expansion of 2.0 in n 4.445 * [backup-simplify]: Simplify 2.0 into 2.0 4.445 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.445 * [taylor]: Taking taylor expansion of PI in n 4.445 * [backup-simplify]: Simplify PI into PI 4.445 * [taylor]: Taking taylor expansion of n in n 4.445 * [backup-simplify]: Simplify 0 into 0 4.446 * [backup-simplify]: Simplify 1 into 1 4.446 * [backup-simplify]: Simplify (/ PI 1) into PI 4.446 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.446 * [taylor]: Taking taylor expansion of 2.0 in n 4.446 * [backup-simplify]: Simplify 2.0 into 2.0 4.446 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.446 * [taylor]: Taking taylor expansion of PI in n 4.446 * [backup-simplify]: Simplify PI into PI 4.446 * [taylor]: Taking taylor expansion of n in n 4.446 * [backup-simplify]: Simplify 0 into 0 4.446 * [backup-simplify]: Simplify 1 into 1 4.447 * [backup-simplify]: Simplify (/ PI 1) into PI 4.447 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.448 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.449 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.450 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 4.450 * [backup-simplify]: Simplify 0 into 0 4.451 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.452 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.452 * [backup-simplify]: Simplify 0 into 0 4.453 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.454 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.454 * [backup-simplify]: Simplify 0 into 0 4.459 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.461 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 4.461 * [backup-simplify]: Simplify 0 into 0 4.462 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.464 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 4.464 * [backup-simplify]: Simplify 0 into 0 4.465 * [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 4.467 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 4.467 * [backup-simplify]: Simplify 0 into 0 4.468 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 4.468 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 4.468 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 4.468 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.468 * [taylor]: Taking taylor expansion of -2.0 in n 4.468 * [backup-simplify]: Simplify -2.0 into -2.0 4.468 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.469 * [taylor]: Taking taylor expansion of PI in n 4.469 * [backup-simplify]: Simplify PI into PI 4.469 * [taylor]: Taking taylor expansion of n in n 4.469 * [backup-simplify]: Simplify 0 into 0 4.469 * [backup-simplify]: Simplify 1 into 1 4.469 * [backup-simplify]: Simplify (/ PI 1) into PI 4.469 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.469 * [taylor]: Taking taylor expansion of -2.0 in n 4.469 * [backup-simplify]: Simplify -2.0 into -2.0 4.469 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.469 * [taylor]: Taking taylor expansion of PI in n 4.469 * [backup-simplify]: Simplify PI into PI 4.469 * [taylor]: Taking taylor expansion of n in n 4.469 * [backup-simplify]: Simplify 0 into 0 4.469 * [backup-simplify]: Simplify 1 into 1 4.470 * [backup-simplify]: Simplify (/ PI 1) into PI 4.470 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.471 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.472 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.473 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 4.473 * [backup-simplify]: Simplify 0 into 0 4.474 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.475 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.475 * [backup-simplify]: Simplify 0 into 0 4.476 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.478 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.478 * [backup-simplify]: Simplify 0 into 0 4.479 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.480 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 4.480 * [backup-simplify]: Simplify 0 into 0 4.481 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.483 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 4.483 * [backup-simplify]: Simplify 0 into 0 4.484 * [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 4.486 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 4.486 * [backup-simplify]: Simplify 0 into 0 4.486 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 4.487 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 4.487 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 4.487 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 4.487 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 4.487 * [taylor]: Taking taylor expansion of 1.0 in k 4.487 * [backup-simplify]: Simplify 1.0 into 1.0 4.487 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.487 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.487 * [taylor]: Taking taylor expansion of k in k 4.487 * [backup-simplify]: Simplify 0 into 0 4.487 * [backup-simplify]: Simplify 1 into 1 4.487 * [backup-simplify]: Simplify (/ 1 1) into 1 4.488 * [backup-simplify]: Simplify (sqrt 0) into 0 4.489 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.490 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 4.490 * [taylor]: Taking taylor expansion of 1.0 in k 4.490 * [backup-simplify]: Simplify 1.0 into 1.0 4.490 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.490 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.490 * [taylor]: Taking taylor expansion of k in k 4.490 * [backup-simplify]: Simplify 0 into 0 4.490 * [backup-simplify]: Simplify 1 into 1 4.491 * [backup-simplify]: Simplify (/ 1 1) into 1 4.491 * [backup-simplify]: Simplify (sqrt 0) into 0 4.492 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.493 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.493 * [backup-simplify]: Simplify 0 into 0 4.494 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 4.495 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.499 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.501 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 4.501 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.506 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.508 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 4.509 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.510 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 4.510 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 4.510 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 4.510 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 4.510 * [taylor]: Taking taylor expansion of 1.0 in k 4.510 * [backup-simplify]: Simplify 1.0 into 1.0 4.510 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.511 * [taylor]: Taking taylor expansion of k in k 4.511 * [backup-simplify]: Simplify 0 into 0 4.511 * [backup-simplify]: Simplify 1 into 1 4.511 * [backup-simplify]: Simplify (sqrt 0) into 0 4.512 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.512 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 4.512 * [taylor]: Taking taylor expansion of 1.0 in k 4.512 * [backup-simplify]: Simplify 1.0 into 1.0 4.513 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.513 * [taylor]: Taking taylor expansion of k in k 4.513 * [backup-simplify]: Simplify 0 into 0 4.513 * [backup-simplify]: Simplify 1 into 1 4.513 * [backup-simplify]: Simplify (sqrt 0) into 0 4.514 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.515 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.515 * [backup-simplify]: Simplify 0 into 0 4.516 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 4.517 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.520 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.522 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 4.522 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.526 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.528 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 4.529 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.531 * [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)))))))) 4.531 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 4.531 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 4.531 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 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)) in k 4.531 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.531 * [taylor]: Taking taylor expansion of -1 in k 4.531 * [backup-simplify]: Simplify -1 into -1 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 4.532 * [backup-simplify]: Simplify (/ -1 1) into -1 4.532 * [backup-simplify]: Simplify (sqrt 0) into 0 4.533 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.534 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 4.534 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 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)) in k 4.534 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.534 * [taylor]: Taking taylor expansion of -1 in k 4.534 * [backup-simplify]: Simplify -1 into -1 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 4.537 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 4.537 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.538 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.541 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.544 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 4.544 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.545 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.549 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.554 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 4.555 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.556 * [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))))) 4.556 * * * * [progress]: [ 4 / 4 ] generating series at (2) 4.557 * [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))))) 4.557 * [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 4.557 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 4.557 * [taylor]: Taking taylor expansion of 1.0 in n 4.557 * [backup-simplify]: Simplify 1.0 into 1.0 4.557 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 4.557 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.557 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.557 * [taylor]: Taking taylor expansion of k in n 4.557 * [backup-simplify]: Simplify k into k 4.557 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.557 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 4.558 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.558 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 4.558 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.558 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.558 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.558 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.558 * [taylor]: Taking taylor expansion of 0.5 in n 4.558 * [backup-simplify]: Simplify 0.5 into 0.5 4.558 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.558 * [taylor]: Taking taylor expansion of 1.0 in n 4.558 * [backup-simplify]: Simplify 1.0 into 1.0 4.558 * [taylor]: Taking taylor expansion of k in n 4.558 * [backup-simplify]: Simplify k into k 4.558 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.558 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.558 * [taylor]: Taking taylor expansion of 2.0 in n 4.558 * [backup-simplify]: Simplify 2.0 into 2.0 4.558 * [taylor]: Taking taylor expansion of (* n PI) in n 4.558 * [taylor]: Taking taylor expansion of n in n 4.558 * [backup-simplify]: Simplify 0 into 0 4.558 * [backup-simplify]: Simplify 1 into 1 4.558 * [taylor]: Taking taylor expansion of PI in n 4.558 * [backup-simplify]: Simplify PI into PI 4.559 * [backup-simplify]: Simplify (* 0 PI) into 0 4.559 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.561 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.563 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.564 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.564 * [backup-simplify]: Simplify (- k) into (- k) 4.564 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 4.564 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 4.566 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.567 * [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)))) 4.568 * [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))))) 4.568 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 4.568 * [taylor]: Taking taylor expansion of 1.0 in k 4.568 * [backup-simplify]: Simplify 1.0 into 1.0 4.568 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 4.568 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.568 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.569 * [taylor]: Taking taylor expansion of k in k 4.569 * [backup-simplify]: Simplify 0 into 0 4.569 * [backup-simplify]: Simplify 1 into 1 4.569 * [backup-simplify]: Simplify (/ 1 1) into 1 4.569 * [backup-simplify]: Simplify (sqrt 0) into 0 4.571 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.571 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.571 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.571 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.571 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.571 * [taylor]: Taking taylor expansion of 0.5 in k 4.571 * [backup-simplify]: Simplify 0.5 into 0.5 4.571 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.571 * [taylor]: Taking taylor expansion of 1.0 in k 4.571 * [backup-simplify]: Simplify 1.0 into 1.0 4.571 * [taylor]: Taking taylor expansion of k in k 4.571 * [backup-simplify]: Simplify 0 into 0 4.571 * [backup-simplify]: Simplify 1 into 1 4.571 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.571 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.571 * [taylor]: Taking taylor expansion of 2.0 in k 4.571 * [backup-simplify]: Simplify 2.0 into 2.0 4.571 * [taylor]: Taking taylor expansion of (* n PI) in k 4.571 * [taylor]: Taking taylor expansion of n in k 4.571 * [backup-simplify]: Simplify n into n 4.571 * [taylor]: Taking taylor expansion of PI in k 4.571 * [backup-simplify]: Simplify PI into PI 4.571 * [backup-simplify]: Simplify (* n PI) into (* n PI) 4.571 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 4.572 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 4.572 * [backup-simplify]: Simplify (- 0) into 0 4.572 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.573 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.573 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 4.573 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 4.573 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 4.573 * [taylor]: Taking taylor expansion of 1.0 in k 4.573 * [backup-simplify]: Simplify 1.0 into 1.0 4.573 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 4.573 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.573 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.573 * [taylor]: Taking taylor expansion of k in k 4.573 * [backup-simplify]: Simplify 0 into 0 4.573 * [backup-simplify]: Simplify 1 into 1 4.574 * [backup-simplify]: Simplify (/ 1 1) into 1 4.574 * [backup-simplify]: Simplify (sqrt 0) into 0 4.575 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.575 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.575 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.575 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.575 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.575 * [taylor]: Taking taylor expansion of 0.5 in k 4.576 * [backup-simplify]: Simplify 0.5 into 0.5 4.576 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.576 * [taylor]: Taking taylor expansion of 1.0 in k 4.576 * [backup-simplify]: Simplify 1.0 into 1.0 4.576 * [taylor]: Taking taylor expansion of k in k 4.576 * [backup-simplify]: Simplify 0 into 0 4.576 * [backup-simplify]: Simplify 1 into 1 4.576 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.576 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.576 * [taylor]: Taking taylor expansion of 2.0 in k 4.576 * [backup-simplify]: Simplify 2.0 into 2.0 4.576 * [taylor]: Taking taylor expansion of (* n PI) in k 4.576 * [taylor]: Taking taylor expansion of n in k 4.576 * [backup-simplify]: Simplify n into n 4.576 * [taylor]: Taking taylor expansion of PI in k 4.576 * [backup-simplify]: Simplify PI into PI 4.576 * [backup-simplify]: Simplify (* n PI) into (* n PI) 4.576 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 4.576 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 4.576 * [backup-simplify]: Simplify (- 0) into 0 4.577 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.577 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.578 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 4.578 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 4.578 * [backup-simplify]: Simplify (* 0 (pow (* 2.0 (* n PI)) 0.5)) into 0 4.579 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.579 * [taylor]: Taking taylor expansion of 0 in n 4.579 * [backup-simplify]: Simplify 0 into 0 4.579 * [backup-simplify]: Simplify 0 into 0 4.579 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 4.580 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (* n PI))) into 0 4.581 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 1) into 0 4.581 * [backup-simplify]: Simplify (- 1) into -1 4.582 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.583 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 4.584 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 (* n PI))))) into (- (* 0.5 (log (* 2.0 (* n PI))))) 4.585 * [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))) 4.586 * [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))) 4.588 * [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))) 4.588 * [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 4.588 * [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 4.588 * [taylor]: Taking taylor expansion of +nan.0 in n 4.588 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.588 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.588 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.589 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.589 * [taylor]: Taking taylor expansion of 0.5 in n 4.589 * [backup-simplify]: Simplify 0.5 into 0.5 4.589 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.589 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.589 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.589 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.589 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.589 * [taylor]: Taking taylor expansion of 1.0 in n 4.589 * [backup-simplify]: Simplify 1.0 into 1.0 4.589 * [taylor]: Taking taylor expansion of (log PI) in n 4.589 * [taylor]: Taking taylor expansion of PI in n 4.589 * [backup-simplify]: Simplify PI into PI 4.589 * [backup-simplify]: Simplify (log PI) into (log PI) 4.590 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.592 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.592 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.592 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.592 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.592 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.592 * [taylor]: Taking taylor expansion of 1.0 in n 4.592 * [backup-simplify]: Simplify 1.0 into 1.0 4.592 * [taylor]: Taking taylor expansion of (log n) in n 4.592 * [taylor]: Taking taylor expansion of n in n 4.592 * [backup-simplify]: Simplify 0 into 0 4.593 * [backup-simplify]: Simplify 1 into 1 4.593 * [backup-simplify]: Simplify (log 1) into 0 4.593 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.594 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.594 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.594 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.594 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.594 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.594 * [taylor]: Taking taylor expansion of 1.0 in n 4.594 * [backup-simplify]: Simplify 1.0 into 1.0 4.594 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.594 * [taylor]: Taking taylor expansion of 2.0 in n 4.594 * [backup-simplify]: Simplify 2.0 into 2.0 4.594 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.595 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.597 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.597 * [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)) 4.601 * [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))) 4.603 * [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) 4.605 * [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)) 4.606 * [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))) 4.608 * [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))) 4.608 * [backup-simplify]: Simplify 0 into 0 4.608 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 4.609 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 4.611 * [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 4.611 * [backup-simplify]: Simplify (- 0) into 0 4.612 * [backup-simplify]: Simplify (+ 0 0) into 0 4.617 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 4.619 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 (* n PI)))))) into 0 4.620 * [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))) 4.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.624 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.627 * [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)))))))) 4.633 * [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)))))))) 4.633 * [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 4.633 * [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 4.633 * [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 4.633 * [taylor]: Taking taylor expansion of +nan.0 in n 4.633 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.633 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.633 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.633 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.633 * [taylor]: Taking taylor expansion of 0.5 in n 4.633 * [backup-simplify]: Simplify 0.5 into 0.5 4.633 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.633 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.633 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.633 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.633 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.633 * [taylor]: Taking taylor expansion of 1.0 in n 4.633 * [backup-simplify]: Simplify 1.0 into 1.0 4.633 * [taylor]: Taking taylor expansion of (log PI) in n 4.633 * [taylor]: Taking taylor expansion of PI in n 4.633 * [backup-simplify]: Simplify PI into PI 4.633 * [backup-simplify]: Simplify (log PI) into (log PI) 4.634 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.635 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.635 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.635 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.635 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.635 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.635 * [taylor]: Taking taylor expansion of 1.0 in n 4.635 * [backup-simplify]: Simplify 1.0 into 1.0 4.635 * [taylor]: Taking taylor expansion of (log n) in n 4.635 * [taylor]: Taking taylor expansion of n in n 4.635 * [backup-simplify]: Simplify 0 into 0 4.635 * [backup-simplify]: Simplify 1 into 1 4.635 * [backup-simplify]: Simplify (log 1) into 0 4.636 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.636 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.636 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.636 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.636 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.636 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.636 * [taylor]: Taking taylor expansion of 1.0 in n 4.636 * [backup-simplify]: Simplify 1.0 into 1.0 4.636 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.636 * [taylor]: Taking taylor expansion of 2.0 in n 4.636 * [backup-simplify]: Simplify 2.0 into 2.0 4.636 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.637 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.638 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.638 * [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) 4.639 * [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) 4.640 * [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)) 4.640 * [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))) 4.641 * [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) 4.641 * [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 4.641 * [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 4.641 * [taylor]: Taking taylor expansion of +nan.0 in n 4.641 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.641 * [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 4.641 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 4.641 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 4.641 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 4.642 * [taylor]: Taking taylor expansion of 0.5 in n 4.642 * [backup-simplify]: Simplify 0.5 into 0.5 4.642 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 4.642 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 4.642 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.642 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.642 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.642 * [taylor]: Taking taylor expansion of 1.0 in n 4.642 * [backup-simplify]: Simplify 1.0 into 1.0 4.642 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.642 * [taylor]: Taking taylor expansion of 2.0 in n 4.642 * [backup-simplify]: Simplify 2.0 into 2.0 4.642 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.643 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.643 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.643 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 4.644 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.644 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.644 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.644 * [taylor]: Taking taylor expansion of 1.0 in n 4.644 * [backup-simplify]: Simplify 1.0 into 1.0 4.644 * [taylor]: Taking taylor expansion of (log PI) in n 4.644 * [taylor]: Taking taylor expansion of PI in n 4.644 * [backup-simplify]: Simplify PI into PI 4.644 * [backup-simplify]: Simplify (log PI) into (log PI) 4.644 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.645 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.645 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.646 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.646 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.646 * [taylor]: Taking taylor expansion of 1.0 in n 4.646 * [backup-simplify]: Simplify 1.0 into 1.0 4.646 * [taylor]: Taking taylor expansion of (log n) in n 4.646 * [taylor]: Taking taylor expansion of n in n 4.646 * [backup-simplify]: Simplify 0 into 0 4.646 * [backup-simplify]: Simplify 1 into 1 4.646 * [backup-simplify]: Simplify (log 1) into 0 4.646 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.646 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.646 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.647 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 4.647 * [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) 4.648 * [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)) 4.649 * [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))) 4.650 * [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) 4.650 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.650 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.650 * [taylor]: Taking taylor expansion of 2.0 in n 4.650 * [backup-simplify]: Simplify 2.0 into 2.0 4.650 * [taylor]: Taking taylor expansion of (* n PI) in n 4.650 * [taylor]: Taking taylor expansion of n in n 4.650 * [backup-simplify]: Simplify 0 into 0 4.650 * [backup-simplify]: Simplify 1 into 1 4.650 * [taylor]: Taking taylor expansion of PI in n 4.650 * [backup-simplify]: Simplify PI into PI 4.650 * [backup-simplify]: Simplify (* 0 PI) into 0 4.651 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.652 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.653 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.653 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.654 * [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)) 4.655 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.657 * [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)) 4.659 * [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))) 4.660 * [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)))))) 4.664 * [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)))))))) 4.667 * [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)))))))) 4.671 * [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)))))))) 4.672 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 4.672 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 4.673 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 4.674 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.674 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.675 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 4.675 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 4.676 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 4.677 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 4.677 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 4.678 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 4.679 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0 4.680 * [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 4.681 * [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 4.683 * [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 4.684 * [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 4.684 * [backup-simplify]: Simplify (- 0) into 0 4.684 * [backup-simplify]: Simplify 0 into 0 4.684 * [backup-simplify]: Simplify 0 into 0 4.685 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.686 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 4.688 * [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 4.688 * [backup-simplify]: Simplify (- 0) into 0 4.688 * [backup-simplify]: Simplify (+ 0 0) into 0 4.689 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 4.690 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 (* n PI))))))) into 0 4.691 * [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))) 4.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.694 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.698 * [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)))))))) 4.704 * [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)))))))) 4.704 * [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 4.704 * [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 4.704 * [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 4.705 * [taylor]: Taking taylor expansion of +nan.0 in n 4.705 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.705 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.705 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.705 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.705 * [taylor]: Taking taylor expansion of 0.5 in n 4.705 * [backup-simplify]: Simplify 0.5 into 0.5 4.705 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.705 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.705 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.705 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.705 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) 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 2.0) in n 4.705 * [taylor]: Taking taylor expansion of 2.0 in n 4.705 * [backup-simplify]: Simplify 2.0 into 2.0 4.705 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.706 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.707 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.707 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 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 4.707 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.708 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.708 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.708 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.708 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.708 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.708 * [taylor]: Taking taylor expansion of 1.0 in n 4.708 * [backup-simplify]: Simplify 1.0 into 1.0 4.708 * [taylor]: Taking taylor expansion of (log PI) in n 4.708 * [taylor]: Taking taylor expansion of PI in n 4.708 * [backup-simplify]: Simplify PI into PI 4.708 * [backup-simplify]: Simplify (log PI) into (log PI) 4.709 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.710 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.710 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 4.711 * [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) 4.712 * [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)) 4.713 * [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))) 4.713 * [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) 4.713 * [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 4.714 * [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 4.714 * [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 4.714 * [taylor]: Taking taylor expansion of +nan.0 in n 4.714 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.714 * [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 4.714 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 4.714 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 4.714 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 4.714 * [taylor]: Taking taylor expansion of 0.5 in n 4.714 * [backup-simplify]: Simplify 0.5 into 0.5 4.714 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 4.714 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 4.714 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.714 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.714 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.714 * [taylor]: Taking taylor expansion of 1.0 in n 4.714 * [backup-simplify]: Simplify 1.0 into 1.0 4.714 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.714 * [taylor]: Taking taylor expansion of 2.0 in n 4.714 * [backup-simplify]: Simplify 2.0 into 2.0 4.714 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.718 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.719 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.719 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 4.719 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.719 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.719 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) 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 PI) in n 4.719 * [taylor]: Taking taylor expansion of PI in n 4.719 * [backup-simplify]: Simplify PI into PI 4.720 * [backup-simplify]: Simplify (log PI) into (log PI) 4.720 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.721 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.721 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.721 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.721 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) 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 n) in n 4.721 * [taylor]: Taking taylor expansion of n in n 4.721 * [backup-simplify]: Simplify 0 into 0 4.721 * [backup-simplify]: Simplify 1 into 1 4.722 * [backup-simplify]: Simplify (log 1) into 0 4.722 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.722 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.722 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.723 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 4.723 * [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) 4.724 * [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)) 4.725 * [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))) 4.726 * [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) 4.726 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.726 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.726 * [taylor]: Taking taylor expansion of 2.0 in n 4.726 * [backup-simplify]: Simplify 2.0 into 2.0 4.726 * [taylor]: Taking taylor expansion of (* n PI) in n 4.726 * [taylor]: Taking taylor expansion of n in n 4.726 * [backup-simplify]: Simplify 0 into 0 4.726 * [backup-simplify]: Simplify 1 into 1 4.726 * [taylor]: Taking taylor expansion of PI in n 4.726 * [backup-simplify]: Simplify PI into PI 4.726 * [backup-simplify]: Simplify (* 0 PI) into 0 4.727 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.728 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.729 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.729 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.729 * [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 4.729 * [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 4.729 * [taylor]: Taking taylor expansion of +nan.0 in n 4.729 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.729 * [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 4.729 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 4.729 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 4.729 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 4.729 * [taylor]: Taking taylor expansion of 0.5 in n 4.729 * [backup-simplify]: Simplify 0.5 into 0.5 4.729 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 4.730 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 4.730 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.730 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.730 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.730 * [taylor]: Taking taylor expansion of 1.0 in n 4.730 * [backup-simplify]: Simplify 1.0 into 1.0 4.730 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.730 * [taylor]: Taking taylor expansion of 2.0 in n 4.730 * [backup-simplify]: Simplify 2.0 into 2.0 4.730 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.731 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.732 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.732 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 4.732 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.732 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.732 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.732 * [taylor]: Taking taylor expansion of 1.0 in n 4.732 * [backup-simplify]: Simplify 1.0 into 1.0 4.732 * [taylor]: Taking taylor expansion of (log PI) in n 4.732 * [taylor]: Taking taylor expansion of PI in n 4.732 * [backup-simplify]: Simplify PI into PI 4.732 * [backup-simplify]: Simplify (log PI) into (log PI) 4.733 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.734 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.734 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.734 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.734 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.734 * [taylor]: Taking taylor expansion of 1.0 in n 4.734 * [backup-simplify]: Simplify 1.0 into 1.0 4.734 * [taylor]: Taking taylor expansion of (log n) in n 4.734 * [taylor]: Taking taylor expansion of n in n 4.734 * [backup-simplify]: Simplify 0 into 0 4.734 * [backup-simplify]: Simplify 1 into 1 4.734 * [backup-simplify]: Simplify (log 1) into 0 4.734 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.735 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.735 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.735 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 4.736 * [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) 4.737 * [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)) 4.737 * [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))) 4.738 * [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) 4.738 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 4.738 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.738 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.739 * [taylor]: Taking taylor expansion of 2.0 in n 4.739 * [backup-simplify]: Simplify 2.0 into 2.0 4.739 * [taylor]: Taking taylor expansion of (* n PI) in n 4.739 * [taylor]: Taking taylor expansion of n in n 4.739 * [backup-simplify]: Simplify 0 into 0 4.739 * [backup-simplify]: Simplify 1 into 1 4.739 * [taylor]: Taking taylor expansion of PI in n 4.739 * [backup-simplify]: Simplify PI into PI 4.739 * [backup-simplify]: Simplify (* 0 PI) into 0 4.739 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.740 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.741 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.742 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.743 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.744 * [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)) 4.745 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.746 * [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)) 4.748 * [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))) 4.749 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.749 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.751 * [backup-simplify]: Simplify (* (+ (log (* 2.0 PI)) (log n)) (+ (log (* 2.0 PI)) (log n))) into (pow (+ (log (* 2.0 PI)) (log n)) 2) 4.752 * [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)) 4.754 * [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))) 4.756 * [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)))))))) 4.763 * [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)))))))))))) 4.772 * [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)))))))))))) 4.781 * [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)))))))))))))) 4.802 * [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)))))))))))))) 4.828 * [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)))))))))))))))))))))) 4.830 * [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)))))) 4.830 * [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 4.830 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 4.830 * [taylor]: Taking taylor expansion of 1.0 in n 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 n 4.830 * [taylor]: Taking taylor expansion of (sqrt k) in n 4.830 * [taylor]: Taking taylor expansion of k in n 4.830 * [backup-simplify]: Simplify k into k 4.830 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 4.831 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 4.831 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.831 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.831 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.831 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.831 * [taylor]: Taking taylor expansion of 0.5 in n 4.831 * [backup-simplify]: Simplify 0.5 into 0.5 4.831 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.831 * [taylor]: Taking taylor expansion of 1.0 in n 4.831 * [backup-simplify]: Simplify 1.0 into 1.0 4.831 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.831 * [taylor]: Taking taylor expansion of k in n 4.831 * [backup-simplify]: Simplify k into k 4.831 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.831 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.831 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.831 * [taylor]: Taking taylor expansion of 2.0 in n 4.831 * [backup-simplify]: Simplify 2.0 into 2.0 4.831 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.831 * [taylor]: Taking taylor expansion of PI in n 4.831 * [backup-simplify]: Simplify PI into PI 4.831 * [taylor]: Taking taylor expansion of n in n 4.831 * [backup-simplify]: Simplify 0 into 0 4.831 * [backup-simplify]: Simplify 1 into 1 4.832 * [backup-simplify]: Simplify (/ PI 1) into PI 4.833 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.834 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.834 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.834 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.834 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 4.836 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.837 * [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)))) 4.839 * [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))))) 4.839 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 4.839 * [taylor]: Taking taylor expansion of 1.0 in k 4.839 * [backup-simplify]: Simplify 1.0 into 1.0 4.839 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 4.839 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.839 * [taylor]: Taking taylor expansion of k in k 4.839 * [backup-simplify]: Simplify 0 into 0 4.839 * [backup-simplify]: Simplify 1 into 1 4.839 * [backup-simplify]: Simplify (sqrt 0) into 0 4.841 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.841 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.841 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.841 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.841 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.841 * [taylor]: Taking taylor expansion of 0.5 in k 4.841 * [backup-simplify]: Simplify 0.5 into 0.5 4.841 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.841 * [taylor]: Taking taylor expansion of 1.0 in k 4.841 * [backup-simplify]: Simplify 1.0 into 1.0 4.841 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.841 * [taylor]: Taking taylor expansion of k in k 4.841 * [backup-simplify]: Simplify 0 into 0 4.841 * [backup-simplify]: Simplify 1 into 1 4.842 * [backup-simplify]: Simplify (/ 1 1) into 1 4.842 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.842 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.842 * [taylor]: Taking taylor expansion of 2.0 in k 4.842 * [backup-simplify]: Simplify 2.0 into 2.0 4.842 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.842 * [taylor]: Taking taylor expansion of PI in k 4.842 * [backup-simplify]: Simplify PI into PI 4.842 * [taylor]: Taking taylor expansion of n in k 4.842 * [backup-simplify]: Simplify n into n 4.842 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.842 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 4.842 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 4.843 * [backup-simplify]: Simplify (- 1) into -1 4.843 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.844 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 4.844 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 4.844 * [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))))) 4.844 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 4.844 * [taylor]: Taking taylor expansion of 1.0 in k 4.844 * [backup-simplify]: Simplify 1.0 into 1.0 4.844 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 4.844 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.844 * [taylor]: Taking taylor expansion of k in k 4.844 * [backup-simplify]: Simplify 0 into 0 4.845 * [backup-simplify]: Simplify 1 into 1 4.845 * [backup-simplify]: Simplify (sqrt 0) into 0 4.846 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.846 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.846 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.846 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.846 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.846 * [taylor]: Taking taylor expansion of 0.5 in k 4.847 * [backup-simplify]: Simplify 0.5 into 0.5 4.847 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.847 * [taylor]: Taking taylor expansion of 1.0 in k 4.847 * [backup-simplify]: Simplify 1.0 into 1.0 4.847 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.847 * [taylor]: Taking taylor expansion of k in k 4.847 * [backup-simplify]: Simplify 0 into 0 4.847 * [backup-simplify]: Simplify 1 into 1 4.847 * [backup-simplify]: Simplify (/ 1 1) into 1 4.847 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.847 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.847 * [taylor]: Taking taylor expansion of 2.0 in k 4.847 * [backup-simplify]: Simplify 2.0 into 2.0 4.847 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.847 * [taylor]: Taking taylor expansion of PI in k 4.847 * [backup-simplify]: Simplify PI into PI 4.847 * [taylor]: Taking taylor expansion of n in k 4.847 * [backup-simplify]: Simplify n into n 4.848 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.848 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 4.848 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 4.848 * [backup-simplify]: Simplify (- 1) into -1 4.849 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.849 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 4.849 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 4.850 * [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))))) 4.850 * [backup-simplify]: Simplify (* 0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) into 0 4.850 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.850 * [taylor]: Taking taylor expansion of 0 in n 4.850 * [backup-simplify]: Simplify 0 into 0 4.850 * [backup-simplify]: Simplify 0 into 0 4.851 * [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))))))) 4.852 * [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))))))) 4.852 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 4.852 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 4.852 * [taylor]: Taking taylor expansion of +nan.0 in n 4.852 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.852 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 4.852 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 4.852 * [taylor]: Taking taylor expansion of 0.5 in n 4.852 * [backup-simplify]: Simplify 0.5 into 0.5 4.852 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 4.852 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.852 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.852 * [taylor]: Taking taylor expansion of 2.0 in n 4.852 * [backup-simplify]: Simplify 2.0 into 2.0 4.852 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.852 * [taylor]: Taking taylor expansion of PI in n 4.853 * [backup-simplify]: Simplify PI into PI 4.853 * [taylor]: Taking taylor expansion of n in n 4.853 * [backup-simplify]: Simplify 0 into 0 4.853 * [backup-simplify]: Simplify 1 into 1 4.853 * [backup-simplify]: Simplify (/ PI 1) into PI 4.853 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.854 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.854 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.854 * [taylor]: Taking taylor expansion of 1.0 in n 4.854 * [backup-simplify]: Simplify 1.0 into 1.0 4.854 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.854 * [taylor]: Taking taylor expansion of k in n 4.854 * [backup-simplify]: Simplify k into k 4.854 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.855 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.855 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.855 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.856 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 4.857 * [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)))) 4.858 * [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))))) 4.858 * [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)))))) 4.859 * [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))))))) 4.860 * [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))))))) 4.860 * [backup-simplify]: Simplify 0 into 0 4.862 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.863 * [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))))))) 4.864 * [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))))))) 4.864 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 4.864 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 4.864 * [taylor]: Taking taylor expansion of +nan.0 in n 4.864 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.864 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 4.864 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 4.864 * [taylor]: Taking taylor expansion of 0.5 in n 4.864 * [backup-simplify]: Simplify 0.5 into 0.5 4.864 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 4.864 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.864 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.864 * [taylor]: Taking taylor expansion of 2.0 in n 4.864 * [backup-simplify]: Simplify 2.0 into 2.0 4.864 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.864 * [taylor]: Taking taylor expansion of PI in n 4.864 * [backup-simplify]: Simplify PI into PI 4.864 * [taylor]: Taking taylor expansion of n in n 4.864 * [backup-simplify]: Simplify 0 into 0 4.864 * [backup-simplify]: Simplify 1 into 1 4.864 * [backup-simplify]: Simplify (/ PI 1) into PI 4.865 * [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) 4.866 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.866 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.866 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.867 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 4.868 * [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)))) 4.869 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 4.869 * [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)))))) 4.870 * [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))))))) 4.871 * [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))))))) 4.872 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.872 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.872 * [backup-simplify]: Simplify (- 0) into 0 4.873 * [backup-simplify]: Simplify (+ 0 0) into 0 4.873 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.873 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 4.874 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 4.875 * [backup-simplify]: Simplify (+ (* (- (log (* 2.0 PI)) (log n)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 4.876 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into 0 4.877 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.878 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into 0 4.879 * [backup-simplify]: Simplify (- 0) into 0 4.879 * [backup-simplify]: Simplify 0 into 0 4.879 * [backup-simplify]: Simplify 0 into 0 4.881 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.882 * [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))))))) 4.883 * [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))))))) 4.883 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 4.883 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 4.883 * [taylor]: Taking taylor expansion of +nan.0 in n 4.883 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.883 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 4.883 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 4.883 * [taylor]: Taking taylor expansion of 0.5 in n 4.883 * [backup-simplify]: Simplify 0.5 into 0.5 4.883 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 4.883 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.883 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.883 * [taylor]: Taking taylor expansion of 2.0 in n 4.883 * [backup-simplify]: Simplify 2.0 into 2.0 4.883 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.883 * [taylor]: Taking taylor expansion of PI in n 4.883 * [backup-simplify]: Simplify PI into PI 4.883 * [taylor]: Taking taylor expansion of n in n 4.883 * [backup-simplify]: Simplify 0 into 0 4.883 * [backup-simplify]: Simplify 1 into 1 4.883 * [backup-simplify]: Simplify (/ PI 1) into PI 4.884 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.884 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.884 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.884 * [taylor]: Taking taylor expansion of 1.0 in n 4.884 * [backup-simplify]: Simplify 1.0 into 1.0 4.884 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.884 * [taylor]: Taking taylor expansion of k in n 4.884 * [backup-simplify]: Simplify k into k 4.884 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.885 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.885 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.885 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.886 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 4.887 * [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)))) 4.888 * [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))))) 4.888 * [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)))))) 4.890 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 4.891 * [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))))))) 4.896 * [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)))))))) 4.897 * [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)))) 4.897 * [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 4.897 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 4.897 * [taylor]: Taking taylor expansion of 1.0 in n 4.897 * [backup-simplify]: Simplify 1.0 into 1.0 4.897 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 4.897 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.897 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.897 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.897 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.897 * [taylor]: Taking taylor expansion of 0.5 in n 4.897 * [backup-simplify]: Simplify 0.5 into 0.5 4.897 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.897 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.897 * [taylor]: Taking taylor expansion of k in n 4.897 * [backup-simplify]: Simplify k into k 4.897 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.897 * [taylor]: Taking taylor expansion of 1.0 in n 4.897 * [backup-simplify]: Simplify 1.0 into 1.0 4.898 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.898 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.898 * [taylor]: Taking taylor expansion of -2.0 in n 4.898 * [backup-simplify]: Simplify -2.0 into -2.0 4.898 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.898 * [taylor]: Taking taylor expansion of PI in n 4.898 * [backup-simplify]: Simplify PI into PI 4.898 * [taylor]: Taking taylor expansion of n in n 4.898 * [backup-simplify]: Simplify 0 into 0 4.898 * [backup-simplify]: Simplify 1 into 1 4.898 * [backup-simplify]: Simplify (/ PI 1) into PI 4.899 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.900 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.900 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.900 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 4.902 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.903 * [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)))) 4.905 * [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))))) 4.905 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 4.905 * [taylor]: Taking taylor expansion of (/ -1 k) in n 4.905 * [taylor]: Taking taylor expansion of -1 in n 4.905 * [backup-simplify]: Simplify -1 into -1 4.905 * [taylor]: Taking taylor expansion of k in n 4.905 * [backup-simplify]: Simplify k into k 4.905 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 4.905 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 4.905 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 4.905 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 4.907 * [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))) 4.907 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 4.907 * [taylor]: Taking taylor expansion of 1.0 in k 4.907 * [backup-simplify]: Simplify 1.0 into 1.0 4.907 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 4.907 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.907 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.907 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.907 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.907 * [taylor]: Taking taylor expansion of 0.5 in k 4.907 * [backup-simplify]: Simplify 0.5 into 0.5 4.907 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.907 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.907 * [taylor]: Taking taylor expansion of k in k 4.907 * [backup-simplify]: Simplify 0 into 0 4.907 * [backup-simplify]: Simplify 1 into 1 4.908 * [backup-simplify]: Simplify (/ 1 1) into 1 4.908 * [taylor]: Taking taylor expansion of 1.0 in k 4.908 * [backup-simplify]: Simplify 1.0 into 1.0 4.908 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.908 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.908 * [taylor]: Taking taylor expansion of -2.0 in k 4.908 * [backup-simplify]: Simplify -2.0 into -2.0 4.908 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.908 * [taylor]: Taking taylor expansion of PI in k 4.908 * [backup-simplify]: Simplify PI into PI 4.908 * [taylor]: Taking taylor expansion of n in k 4.908 * [backup-simplify]: Simplify n into n 4.908 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.908 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 4.909 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 4.909 * [backup-simplify]: Simplify (+ 1 0) into 1 4.909 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.910 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 4.910 * [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)))))) 4.910 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.910 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.910 * [taylor]: Taking taylor expansion of -1 in k 4.910 * [backup-simplify]: Simplify -1 into -1 4.910 * [taylor]: Taking taylor expansion of k in k 4.910 * [backup-simplify]: Simplify 0 into 0 4.910 * [backup-simplify]: Simplify 1 into 1 4.911 * [backup-simplify]: Simplify (/ -1 1) into -1 4.911 * [backup-simplify]: Simplify (sqrt 0) into 0 4.912 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.913 * [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))))))) 4.913 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 4.913 * [taylor]: Taking taylor expansion of 1.0 in k 4.913 * [backup-simplify]: Simplify 1.0 into 1.0 4.913 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 4.913 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.913 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.913 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.913 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.913 * [taylor]: Taking taylor expansion of 0.5 in k 4.913 * [backup-simplify]: Simplify 0.5 into 0.5 4.913 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.913 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.913 * [taylor]: Taking taylor expansion of k in k 4.913 * [backup-simplify]: Simplify 0 into 0 4.913 * [backup-simplify]: Simplify 1 into 1 4.914 * [backup-simplify]: Simplify (/ 1 1) into 1 4.914 * [taylor]: Taking taylor expansion of 1.0 in k 4.914 * [backup-simplify]: Simplify 1.0 into 1.0 4.914 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.914 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.914 * [taylor]: Taking taylor expansion of -2.0 in k 4.914 * [backup-simplify]: Simplify -2.0 into -2.0 4.914 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.914 * [taylor]: Taking taylor expansion of PI in k 4.914 * [backup-simplify]: Simplify PI into PI 4.914 * [taylor]: Taking taylor expansion of n in k 4.914 * [backup-simplify]: Simplify n into n 4.914 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.914 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 4.914 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 4.915 * [backup-simplify]: Simplify (+ 1 0) into 1 4.915 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.915 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 4.916 * [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)))))) 4.916 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.916 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.916 * [taylor]: Taking taylor expansion of -1 in k 4.916 * [backup-simplify]: Simplify -1 into -1 4.916 * [taylor]: Taking taylor expansion of k in k 4.916 * [backup-simplify]: Simplify 0 into 0 4.916 * [backup-simplify]: Simplify 1 into 1 4.916 * [backup-simplify]: Simplify (/ -1 1) into -1 4.917 * [backup-simplify]: Simplify (sqrt 0) into 0 4.918 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.919 * [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))))))) 4.919 * [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))))))) 4.919 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 4.919 * [taylor]: Taking taylor expansion of +nan.0 in n 4.919 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.919 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 4.919 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 4.919 * [taylor]: Taking taylor expansion of 0.5 in n 4.919 * [backup-simplify]: Simplify 0.5 into 0.5 4.919 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 4.919 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.919 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.919 * [taylor]: Taking taylor expansion of k in n 4.920 * [backup-simplify]: Simplify k into k 4.920 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.920 * [taylor]: Taking taylor expansion of 1.0 in n 4.920 * [backup-simplify]: Simplify 1.0 into 1.0 4.920 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.920 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.920 * [taylor]: Taking taylor expansion of -2.0 in n 4.920 * [backup-simplify]: Simplify -2.0 into -2.0 4.920 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.920 * [taylor]: Taking taylor expansion of PI in n 4.920 * [backup-simplify]: Simplify PI into PI 4.920 * [taylor]: Taking taylor expansion of n in n 4.920 * [backup-simplify]: Simplify 0 into 0 4.920 * [backup-simplify]: Simplify 1 into 1 4.921 * [backup-simplify]: Simplify (/ PI 1) into PI 4.921 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.923 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.923 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.925 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.926 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 4.927 * [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)))) 4.929 * [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))))) 4.930 * [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)))))) 4.931 * [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)))))) 4.932 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.935 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.936 * [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)))))))) 4.937 * [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)))))))) 4.937 * [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 (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 4.938 * [backup-simplify]: Simplify 1.0 into 1.0 4.938 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.938 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.938 * [taylor]: Taking taylor expansion of -2.0 in n 4.938 * [backup-simplify]: Simplify -2.0 into -2.0 4.938 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.938 * [taylor]: Taking taylor expansion of PI in n 4.938 * [backup-simplify]: Simplify PI into PI 4.938 * [taylor]: Taking taylor expansion of n in n 4.938 * [backup-simplify]: Simplify 0 into 0 4.938 * [backup-simplify]: Simplify 1 into 1 4.939 * [backup-simplify]: Simplify (/ PI 1) into PI 4.939 * [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) 4.947 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.948 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 4.949 * [backup-simplify]: Simplify (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 4.951 * [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))))) 4.952 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) 4.953 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) 4.955 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) 4.956 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.957 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 4.959 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 4.959 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.960 * [backup-simplify]: Simplify (+ 0 0) into 0 4.961 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.962 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 4.964 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into 0 4.966 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.968 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into 0 4.968 * [backup-simplify]: Simplify 0 into 0 4.969 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.973 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.975 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) 4.976 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) 4.976 * [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 4.977 * [taylor]: Taking taylor expansion of n in n 4.977 * [backup-simplify]: Simplify 0 into 0 4.977 * [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) 4.980 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.980 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.981 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.983 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 4.984 * [backup-simplify]: Simplify (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 4.985 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 4.987 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) 4.988 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) 4.989 * [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))))))) 4.992 * [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)))))))))))) 4.992 * * * [progress]: simplifying candidates 4.995 * [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))) (* 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(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 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k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))))))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))))))) 4.999 * * [simplify]: Extracting # 0 : cost 0 4.999 * * [simplify]: Extracting # 1 : cost 0 5.000 * * [simplify]: Extracting # 2 : cost 0 5.000 * * [simplify]: Extracting # 3 : cost 0 5.000 * * [simplify]: Extracting # 4 : cost 0 5.001 * * [simplify]: Extracting # 5 : cost 0 5.001 * * [simplify]: Extracting # 6 : cost 0 5.002 * * [simplify]: Extracting # 7 : cost 0 5.002 * * [simplify]: Extracting # 8 : cost 0 5.003 * * [simplify]: Extracting # 9 : cost 0 5.003 * * [simplify]: Extracting # 10 : cost 0 5.004 * * [simplify]: Extracting # 11 : cost 0 5.004 * * [simplify]: Extracting # 12 : cost 0 5.005 * * [simplify]: Extracting # 13 : cost 0 5.005 * * [simplify]: Extracting # 14 : cost 0 5.006 * * [simplify]: Extracting # 15 : cost 0 5.006 * * [simplify]: Extracting # 16 : cost 0 5.007 * * [simplify]: Extracting # 17 : cost 0 5.007 * * [simplify]: Extracting # 18 : cost 0 5.008 * * [simplify]: Extracting # 19 : cost 0 5.008 * * [simplify]: Extracting # 20 : cost 0 5.009 * * [simplify]: Extracting # 21 : cost 0 5.010 * * [simplify]: Extracting # 22 : cost 0 5.010 * * [simplify]: Extracting # 23 : cost 0 5.011 * * [simplify]: Extracting # 24 : cost 0 5.011 * * [simplify]: Extracting # 25 : cost 0 5.012 * * [simplify]: Extracting # 26 : cost 0 5.012 * * [simplify]: Extracting # 27 : cost 0 5.013 * * [simplify]: Extracting # 28 : cost 0 5.013 * * [simplify]: Extracting # 29 : cost 0 5.014 * * [simplify]: Extracting # 30 : cost 0 5.014 * * [simplify]: Extracting # 31 : cost 0 5.015 * * [simplify]: Extracting # 32 : cost 0 5.015 * * [simplify]: iteration 0 : 361 enodes (cost 2800 ) 5.154 * * [simplify]: Extracting # 0 : cost 0 5.156 * * [simplify]: Extracting # 1 : cost 0 5.157 * * [simplify]: Extracting # 2 : cost 0 5.158 * * [simplify]: Extracting # 3 : cost 0 5.160 * * [simplify]: Extracting # 4 : cost 0 5.161 * * [simplify]: Extracting # 5 : cost 0 5.163 * * [simplify]: iteration 1 : 931 enodes (cost 2635 ) 6.066 * * [simplify]: Extracting # 0 : cost 0 6.072 * * [simplify]: Extracting # 1 : cost 0 6.086 * * [simplify]: Extracting # 2 : cost 0 6.094 * * [simplify]: Extracting # 3 : cost 0 6.102 * * [simplify]: Extracting # 4 : cost 0 6.109 * * [simplify]: Extracting # 5 : cost 0 6.117 * * [simplify]: iteration 2 : 3047 enodes (cost 2471 ) 7.287 * * [simplify]: Extracting # 0 : cost 0 7.294 * * [simplify]: Extracting # 1 : cost 0 7.300 * * [simplify]: Extracting # 2 : cost 0 7.306 * * [simplify]: Extracting # 3 : cost 0 7.312 * * [simplify]: Extracting # 4 : cost 0 7.318 * * [simplify]: iteration done: 5000 enodes (cost 2471 ) 7.319 * [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 (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 (* n PI)) (sqrt (- 1.0 k))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* 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 (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* n (* 2.0 PI)) (* n (* 2.0 PI)) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* n (* 2.0 PI)) (* n (* 2.0 PI)) (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) (* n PI) (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) (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))) (+ (* (* 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)))) (- (+ (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)) (* (* 0.5 k) (+ (* (pow (* (* 2.0 PI) n) 0.5) (log (* 2.0 PI))) (* (pow (* (* 2.0 PI) n) 0.5) (log n)))))) (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* n (* 2.0 PI)) (* n (* 2.0 PI)) (* n (* 2.0 PI)) (- (- (* +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)) (+ (- (* +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))))) (+ (* (- (/ (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) (pow k 3))) +nan.0) (* +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)))) 7.320 * * * [progress]: adding candidates to table 7.930 * * [progress]: iteration 2 / 4 7.930 * * * [progress]: picking best candidate 7.955 * * * * [pick]: Picked # 7.955 * * * [progress]: localizing error 7.974 * * * [progress]: generating rewritten candidates 7.974 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 7.983 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 8.001 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 8.033 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 8.048 * * * [progress]: generating series expansions 8.048 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 8.049 * [backup-simplify]: Simplify (pow n (/ (- 1.0 k) 2.0)) into (pow n (* 0.5 (- 1.0 k))) 8.049 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 8.049 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 8.049 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 8.049 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 8.049 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 8.049 * [taylor]: Taking taylor expansion of 0.5 in k 8.049 * [backup-simplify]: Simplify 0.5 into 0.5 8.049 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.049 * [taylor]: Taking taylor expansion of 1.0 in k 8.049 * [backup-simplify]: Simplify 1.0 into 1.0 8.049 * [taylor]: Taking taylor expansion of k in k 8.049 * [backup-simplify]: Simplify 0 into 0 8.049 * [backup-simplify]: Simplify 1 into 1 8.049 * [taylor]: Taking taylor expansion of (log n) in k 8.049 * [taylor]: Taking taylor expansion of n in k 8.049 * [backup-simplify]: Simplify n into n 8.049 * [backup-simplify]: Simplify (log n) into (log n) 8.049 * [backup-simplify]: Simplify (- 0) into 0 8.050 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.050 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 8.050 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 8.050 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 8.050 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 8.050 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 8.050 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 8.050 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 8.050 * [taylor]: Taking taylor expansion of 0.5 in n 8.050 * [backup-simplify]: Simplify 0.5 into 0.5 8.050 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 8.050 * [taylor]: Taking taylor expansion of 1.0 in n 8.050 * [backup-simplify]: Simplify 1.0 into 1.0 8.050 * [taylor]: Taking taylor expansion of k in n 8.050 * [backup-simplify]: Simplify k into k 8.050 * [taylor]: Taking taylor expansion of (log n) in n 8.050 * [taylor]: Taking taylor expansion of n in n 8.050 * [backup-simplify]: Simplify 0 into 0 8.050 * [backup-simplify]: Simplify 1 into 1 8.051 * [backup-simplify]: Simplify (log 1) into 0 8.051 * [backup-simplify]: Simplify (- k) into (- k) 8.051 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 8.051 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 8.051 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.051 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 8.051 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 8.051 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 8.051 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 8.051 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 8.051 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 8.051 * [taylor]: Taking taylor expansion of 0.5 in n 8.051 * [backup-simplify]: Simplify 0.5 into 0.5 8.051 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 8.051 * [taylor]: Taking taylor expansion of 1.0 in n 8.051 * [backup-simplify]: Simplify 1.0 into 1.0 8.051 * [taylor]: Taking taylor expansion of k in n 8.051 * [backup-simplify]: Simplify k into k 8.051 * [taylor]: Taking taylor expansion of (log n) in n 8.051 * [taylor]: Taking taylor expansion of n in n 8.051 * [backup-simplify]: Simplify 0 into 0 8.051 * [backup-simplify]: Simplify 1 into 1 8.052 * [backup-simplify]: Simplify (log 1) into 0 8.052 * [backup-simplify]: Simplify (- k) into (- k) 8.052 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 8.052 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 8.052 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.052 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 8.052 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 8.052 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 8.052 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 8.052 * [taylor]: Taking taylor expansion of 0.5 in k 8.052 * [backup-simplify]: Simplify 0.5 into 0.5 8.052 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 8.052 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.052 * [taylor]: Taking taylor expansion of 1.0 in k 8.052 * [backup-simplify]: Simplify 1.0 into 1.0 8.052 * [taylor]: Taking taylor expansion of k in k 8.052 * [backup-simplify]: Simplify 0 into 0 8.052 * [backup-simplify]: Simplify 1 into 1 8.052 * [taylor]: Taking taylor expansion of (log n) in k 8.053 * [taylor]: Taking taylor expansion of n in k 8.053 * [backup-simplify]: Simplify n into n 8.053 * [backup-simplify]: Simplify (log n) into (log n) 8.053 * [backup-simplify]: Simplify (- 0) into 0 8.053 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.053 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 8.053 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (log n))) into (* 0.5 (log n)) 8.053 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 8.053 * [backup-simplify]: Simplify (pow n 0.5) into (pow n 0.5) 8.054 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.054 * [backup-simplify]: Simplify (- 0) into 0 8.055 * [backup-simplify]: Simplify (+ 0 0) into 0 8.055 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 8.055 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.055 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (log n))) into 0 8.056 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 8.056 * [taylor]: Taking taylor expansion of 0 in k 8.056 * [backup-simplify]: Simplify 0 into 0 8.056 * [backup-simplify]: Simplify 0 into 0 8.057 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 8.057 * [backup-simplify]: Simplify (- 1) into -1 8.057 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.058 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (log n))) into (- (log n)) 8.058 * [backup-simplify]: Simplify (+ (* 0.5 (- (log n))) (* 0 (* 1.0 (log n)))) into (- (* 0.5 (log n))) 8.058 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 1) 1)))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 8.058 * [backup-simplify]: Simplify (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 8.060 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 8.060 * [backup-simplify]: Simplify (- 0) into 0 8.060 * [backup-simplify]: Simplify (+ 0 0) into 0 8.061 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 8.061 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.061 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 8.062 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.062 * [taylor]: Taking taylor expansion of 0 in k 8.062 * [backup-simplify]: Simplify 0 into 0 8.062 * [backup-simplify]: Simplify 0 into 0 8.062 * [backup-simplify]: Simplify 0 into 0 8.063 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 8.064 * [backup-simplify]: Simplify (- 0) into 0 8.064 * [backup-simplify]: Simplify (+ 0 0) into 0 8.064 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (log n)))) into 0 8.065 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (log n))) (* 0 (* 1.0 (log n))))) into 0 8.065 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 8.066 * [backup-simplify]: Simplify (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 8.066 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) (* k 1)) (pow n 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) 8.066 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) 8.066 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 8.066 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.066 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 8.067 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 8.067 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.067 * [taylor]: Taking taylor expansion of 0.5 in k 8.067 * [backup-simplify]: Simplify 0.5 into 0.5 8.067 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.067 * [taylor]: Taking taylor expansion of 1.0 in k 8.067 * [backup-simplify]: Simplify 1.0 into 1.0 8.067 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.067 * [taylor]: Taking taylor expansion of k in k 8.067 * [backup-simplify]: Simplify 0 into 0 8.067 * [backup-simplify]: Simplify 1 into 1 8.067 * [backup-simplify]: Simplify (/ 1 1) into 1 8.067 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 8.067 * [taylor]: Taking taylor expansion of (/ 1 n) in k 8.067 * [taylor]: Taking taylor expansion of n in k 8.067 * [backup-simplify]: Simplify n into n 8.067 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.067 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 8.067 * [backup-simplify]: Simplify (- 1) into -1 8.068 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.068 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 8.068 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 8.068 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 8.068 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 8.068 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 8.068 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 8.068 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 8.068 * [taylor]: Taking taylor expansion of 0.5 in n 8.068 * [backup-simplify]: Simplify 0.5 into 0.5 8.068 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.068 * [taylor]: Taking taylor expansion of 1.0 in n 8.068 * [backup-simplify]: Simplify 1.0 into 1.0 8.068 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.068 * [taylor]: Taking taylor expansion of k in n 8.068 * [backup-simplify]: Simplify k into k 8.068 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.068 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 8.068 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.068 * [taylor]: Taking taylor expansion of n in n 8.068 * [backup-simplify]: Simplify 0 into 0 8.068 * [backup-simplify]: Simplify 1 into 1 8.069 * [backup-simplify]: Simplify (/ 1 1) into 1 8.069 * [backup-simplify]: Simplify (log 1) into 0 8.069 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 8.069 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 8.069 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 8.069 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 8.070 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 8.070 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 8.070 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 8.070 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 8.070 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 8.070 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 8.070 * [taylor]: Taking taylor expansion of 0.5 in n 8.070 * [backup-simplify]: Simplify 0.5 into 0.5 8.070 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.070 * [taylor]: Taking taylor expansion of 1.0 in n 8.070 * [backup-simplify]: Simplify 1.0 into 1.0 8.070 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.070 * [taylor]: Taking taylor expansion of k in n 8.070 * [backup-simplify]: Simplify k into k 8.070 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.070 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 8.070 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.070 * [taylor]: Taking taylor expansion of n in n 8.070 * [backup-simplify]: Simplify 0 into 0 8.070 * [backup-simplify]: Simplify 1 into 1 8.070 * [backup-simplify]: Simplify (/ 1 1) into 1 8.070 * [backup-simplify]: Simplify (log 1) into 0 8.071 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 8.071 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 8.071 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 8.071 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 8.071 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 8.071 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 8.071 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in k 8.071 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in k 8.071 * [taylor]: Taking taylor expansion of -0.5 in k 8.072 * [backup-simplify]: Simplify -0.5 into -0.5 8.072 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 8.072 * [taylor]: Taking taylor expansion of (log n) in k 8.072 * [taylor]: Taking taylor expansion of n in k 8.072 * [backup-simplify]: Simplify n into n 8.072 * [backup-simplify]: Simplify (log n) into (log n) 8.072 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.072 * [taylor]: Taking taylor expansion of 1.0 in k 8.072 * [backup-simplify]: Simplify 1.0 into 1.0 8.072 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.072 * [taylor]: Taking taylor expansion of k in k 8.072 * [backup-simplify]: Simplify 0 into 0 8.072 * [backup-simplify]: Simplify 1 into 1 8.072 * [backup-simplify]: Simplify (/ 1 1) into 1 8.072 * [backup-simplify]: Simplify (- 1) into -1 8.073 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.073 * [backup-simplify]: Simplify (* (log n) -1) into (* -1 (log n)) 8.073 * [backup-simplify]: Simplify (* -0.5 (* -1 (log n))) into (* 0.5 (log n)) 8.073 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 8.073 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 8.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.076 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.076 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 8.076 * [backup-simplify]: Simplify (- 0) into 0 8.076 * [backup-simplify]: Simplify (+ 0 0) into 0 8.077 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 8.077 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 8.078 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 8.078 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 8.078 * [taylor]: Taking taylor expansion of 0 in k 8.078 * [backup-simplify]: Simplify 0 into 0 8.078 * [backup-simplify]: Simplify 0 into 0 8.078 * [backup-simplify]: Simplify 0 into 0 8.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.080 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 8.081 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.081 * [backup-simplify]: Simplify (- 0) into 0 8.081 * [backup-simplify]: Simplify (+ 0 0) into 0 8.082 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 8.082 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 8.082 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 8.083 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.083 * [taylor]: Taking taylor expansion of 0 in k 8.083 * [backup-simplify]: Simplify 0 into 0 8.083 * [backup-simplify]: Simplify 0 into 0 8.083 * [backup-simplify]: Simplify 0 into 0 8.083 * [backup-simplify]: Simplify 0 into 0 8.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.087 * [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 8.087 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.087 * [backup-simplify]: Simplify (- 0) into 0 8.087 * [backup-simplify]: Simplify (+ 0 0) into 0 8.088 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 8.088 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 8.089 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 8.094 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 8.094 * [taylor]: Taking taylor expansion of 0 in k 8.094 * [backup-simplify]: Simplify 0 into 0 8.094 * [backup-simplify]: Simplify 0 into 0 8.094 * [backup-simplify]: Simplify (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) 8.094 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) 8.094 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 8.094 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.094 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 8.094 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 8.094 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.094 * [taylor]: Taking taylor expansion of 0.5 in k 8.094 * [backup-simplify]: Simplify 0.5 into 0.5 8.094 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.094 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.094 * [taylor]: Taking taylor expansion of k in k 8.094 * [backup-simplify]: Simplify 0 into 0 8.094 * [backup-simplify]: Simplify 1 into 1 8.095 * [backup-simplify]: Simplify (/ 1 1) into 1 8.095 * [taylor]: Taking taylor expansion of 1.0 in k 8.095 * [backup-simplify]: Simplify 1.0 into 1.0 8.095 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 8.095 * [taylor]: Taking taylor expansion of (/ -1 n) in k 8.095 * [taylor]: Taking taylor expansion of -1 in k 8.095 * [backup-simplify]: Simplify -1 into -1 8.095 * [taylor]: Taking taylor expansion of n in k 8.095 * [backup-simplify]: Simplify n into n 8.095 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 8.095 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 8.095 * [backup-simplify]: Simplify (+ 1 0) into 1 8.096 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.096 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 8.096 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 8.096 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 8.096 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 8.096 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 8.096 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 8.096 * [taylor]: Taking taylor expansion of 0.5 in n 8.096 * [backup-simplify]: Simplify 0.5 into 0.5 8.096 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.096 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.096 * [taylor]: Taking taylor expansion of k in n 8.096 * [backup-simplify]: Simplify k into k 8.096 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.096 * [taylor]: Taking taylor expansion of 1.0 in n 8.096 * [backup-simplify]: Simplify 1.0 into 1.0 8.096 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 8.096 * [taylor]: Taking taylor expansion of (/ -1 n) in n 8.096 * [taylor]: Taking taylor expansion of -1 in n 8.096 * [backup-simplify]: Simplify -1 into -1 8.096 * [taylor]: Taking taylor expansion of n in n 8.096 * [backup-simplify]: Simplify 0 into 0 8.096 * [backup-simplify]: Simplify 1 into 1 8.096 * [backup-simplify]: Simplify (/ -1 1) into -1 8.097 * [backup-simplify]: Simplify (log -1) into (log -1) 8.097 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 8.097 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 8.097 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 8.098 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 8.098 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 8.098 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 8.098 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 8.098 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 8.098 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 8.098 * [taylor]: Taking taylor expansion of 0.5 in n 8.098 * [backup-simplify]: Simplify 0.5 into 0.5 8.098 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.098 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.098 * [taylor]: Taking taylor expansion of k in n 8.098 * [backup-simplify]: Simplify k into k 8.098 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.098 * [taylor]: Taking taylor expansion of 1.0 in n 8.098 * [backup-simplify]: Simplify 1.0 into 1.0 8.098 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 8.098 * [taylor]: Taking taylor expansion of (/ -1 n) in n 8.098 * [taylor]: Taking taylor expansion of -1 in n 8.098 * [backup-simplify]: Simplify -1 into -1 8.098 * [taylor]: Taking taylor expansion of n in n 8.098 * [backup-simplify]: Simplify 0 into 0 8.098 * [backup-simplify]: Simplify 1 into 1 8.099 * [backup-simplify]: Simplify (/ -1 1) into -1 8.099 * [backup-simplify]: Simplify (log -1) into (log -1) 8.099 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 8.099 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 8.100 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 8.100 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 8.100 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 8.100 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 8.100 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 8.100 * [taylor]: Taking taylor expansion of 0.5 in k 8.100 * [backup-simplify]: Simplify 0.5 into 0.5 8.100 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 8.100 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 8.100 * [taylor]: Taking taylor expansion of (log -1) in k 8.101 * [taylor]: Taking taylor expansion of -1 in k 8.101 * [backup-simplify]: Simplify -1 into -1 8.101 * [backup-simplify]: Simplify (log -1) into (log -1) 8.101 * [taylor]: Taking taylor expansion of (log n) in k 8.101 * [taylor]: Taking taylor expansion of n in k 8.101 * [backup-simplify]: Simplify n into n 8.101 * [backup-simplify]: Simplify (log n) into (log n) 8.101 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.101 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.101 * [taylor]: Taking taylor expansion of k in k 8.101 * [backup-simplify]: Simplify 0 into 0 8.101 * [backup-simplify]: Simplify 1 into 1 8.101 * [backup-simplify]: Simplify (/ 1 1) into 1 8.101 * [taylor]: Taking taylor expansion of 1.0 in k 8.101 * [backup-simplify]: Simplify 1.0 into 1.0 8.101 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 8.102 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 8.102 * [backup-simplify]: Simplify (+ 1 0) into 1 8.102 * [backup-simplify]: Simplify (* (- (log -1) (log n)) 1) into (- (log -1) (log n)) 8.102 * [backup-simplify]: Simplify (* 0.5 (- (log -1) (log n))) into (* 0.5 (- (log -1) (log n))) 8.103 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 8.103 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 8.104 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.105 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 8.105 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 8.105 * [backup-simplify]: Simplify (+ 0 0) into 0 8.105 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 8.106 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 8.106 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log -1) (log n)))) into 0 8.107 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 8.107 * [taylor]: Taking taylor expansion of 0 in k 8.107 * [backup-simplify]: Simplify 0 into 0 8.107 * [backup-simplify]: Simplify 0 into 0 8.107 * [backup-simplify]: Simplify 0 into 0 8.108 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.110 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 8.110 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.110 * [backup-simplify]: Simplify (+ 0 0) into 0 8.110 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 8.111 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 8.112 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 8.113 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.113 * [taylor]: Taking taylor expansion of 0 in k 8.113 * [backup-simplify]: Simplify 0 into 0 8.113 * [backup-simplify]: Simplify 0 into 0 8.113 * [backup-simplify]: Simplify 0 into 0 8.113 * [backup-simplify]: Simplify 0 into 0 8.113 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.116 * [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 8.116 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.117 * [backup-simplify]: Simplify (+ 0 0) into 0 8.118 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 8.119 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 8.120 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 8.122 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 8.123 * [taylor]: Taking taylor expansion of 0 in k 8.123 * [backup-simplify]: Simplify 0 into 0 8.123 * [backup-simplify]: Simplify 0 into 0 8.123 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) 8.123 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 8.124 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) 8.124 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in (k) around 0 8.124 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 8.124 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 8.124 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 8.124 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 8.124 * [taylor]: Taking taylor expansion of 0.5 in k 8.124 * [backup-simplify]: Simplify 0.5 into 0.5 8.124 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.124 * [taylor]: Taking taylor expansion of 1.0 in k 8.124 * [backup-simplify]: Simplify 1.0 into 1.0 8.125 * [taylor]: Taking taylor expansion of k in k 8.125 * [backup-simplify]: Simplify 0 into 0 8.125 * [backup-simplify]: Simplify 1 into 1 8.125 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.125 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.125 * [taylor]: Taking taylor expansion of 2.0 in k 8.125 * [backup-simplify]: Simplify 2.0 into 2.0 8.125 * [taylor]: Taking taylor expansion of PI in k 8.125 * [backup-simplify]: Simplify PI into PI 8.125 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.126 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.127 * [backup-simplify]: Simplify (- 0) into 0 8.127 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.127 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 8.129 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 8.131 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 8.131 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 8.131 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 8.132 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 8.132 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 8.132 * [taylor]: Taking taylor expansion of 0.5 in k 8.132 * [backup-simplify]: Simplify 0.5 into 0.5 8.132 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.132 * [taylor]: Taking taylor expansion of 1.0 in k 8.132 * [backup-simplify]: Simplify 1.0 into 1.0 8.132 * [taylor]: Taking taylor expansion of k in k 8.132 * [backup-simplify]: Simplify 0 into 0 8.132 * [backup-simplify]: Simplify 1 into 1 8.132 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.132 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.132 * [taylor]: Taking taylor expansion of 2.0 in k 8.132 * [backup-simplify]: Simplify 2.0 into 2.0 8.132 * [taylor]: Taking taylor expansion of PI in k 8.132 * [backup-simplify]: Simplify PI into PI 8.132 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.133 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.134 * [backup-simplify]: Simplify (- 0) into 0 8.134 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.135 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 8.137 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 8.139 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 8.140 * [backup-simplify]: Simplify (pow (* 2.0 PI) 0.5) into (pow (* 2.0 PI) 0.5) 8.141 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 8.144 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 8.144 * [backup-simplify]: Simplify (- 1) into -1 8.145 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.146 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 8.151 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 PI)))) into (- (* 0.5 (log (* 2.0 PI)))) 8.165 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 1) 1)))) into (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 8.173 * [backup-simplify]: Simplify (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) into (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 8.174 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 8.177 * [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 8.178 * [backup-simplify]: Simplify (- 0) into 0 8.178 * [backup-simplify]: Simplify (+ 0 0) into 0 8.179 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 8.180 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 PI))))) into 0 8.188 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 8.193 * [backup-simplify]: Simplify (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) into (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 8.203 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (pow k 2)) (+ (* (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) k) (pow (* 2.0 PI) 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) 8.204 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) 8.204 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 8.204 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.204 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 8.204 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 8.204 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.204 * [taylor]: Taking taylor expansion of 0.5 in k 8.204 * [backup-simplify]: Simplify 0.5 into 0.5 8.204 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.204 * [taylor]: Taking taylor expansion of 1.0 in k 8.204 * [backup-simplify]: Simplify 1.0 into 1.0 8.204 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.204 * [taylor]: Taking taylor expansion of k in k 8.204 * [backup-simplify]: Simplify 0 into 0 8.204 * [backup-simplify]: Simplify 1 into 1 8.204 * [backup-simplify]: Simplify (/ 1 1) into 1 8.205 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.205 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.205 * [taylor]: Taking taylor expansion of 2.0 in k 8.205 * [backup-simplify]: Simplify 2.0 into 2.0 8.205 * [taylor]: Taking taylor expansion of PI in k 8.205 * [backup-simplify]: Simplify PI into PI 8.205 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.206 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.207 * [backup-simplify]: Simplify (- 1) into -1 8.207 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.207 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 8.209 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 8.210 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 8.211 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.211 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 8.211 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 8.211 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.211 * [taylor]: Taking taylor expansion of 0.5 in k 8.211 * [backup-simplify]: Simplify 0.5 into 0.5 8.211 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.211 * [taylor]: Taking taylor expansion of 1.0 in k 8.211 * [backup-simplify]: Simplify 1.0 into 1.0 8.211 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.211 * [taylor]: Taking taylor expansion of k in k 8.211 * [backup-simplify]: Simplify 0 into 0 8.211 * [backup-simplify]: Simplify 1 into 1 8.211 * [backup-simplify]: Simplify (/ 1 1) into 1 8.211 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.211 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.211 * [taylor]: Taking taylor expansion of 2.0 in k 8.211 * [backup-simplify]: Simplify 2.0 into 2.0 8.211 * [taylor]: Taking taylor expansion of PI in k 8.212 * [backup-simplify]: Simplify PI into PI 8.212 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.218 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.219 * [backup-simplify]: Simplify (- 1) into -1 8.219 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.220 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 8.222 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 8.223 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 8.224 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 8.224 * [backup-simplify]: Simplify 0 into 0 8.224 * [backup-simplify]: Simplify 0 into 0 8.225 * [backup-simplify]: Simplify 0 into 0 8.225 * [backup-simplify]: Simplify 0 into 0 8.225 * [backup-simplify]: Simplify 0 into 0 8.225 * [backup-simplify]: Simplify 0 into 0 8.226 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) 8.227 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) 8.227 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 8.227 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.227 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 8.227 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 8.227 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.227 * [taylor]: Taking taylor expansion of 0.5 in k 8.227 * [backup-simplify]: Simplify 0.5 into 0.5 8.227 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.227 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.227 * [taylor]: Taking taylor expansion of k in k 8.227 * [backup-simplify]: Simplify 0 into 0 8.227 * [backup-simplify]: Simplify 1 into 1 8.228 * [backup-simplify]: Simplify (/ 1 1) into 1 8.228 * [taylor]: Taking taylor expansion of 1.0 in k 8.228 * [backup-simplify]: Simplify 1.0 into 1.0 8.228 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.228 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.228 * [taylor]: Taking taylor expansion of 2.0 in k 8.228 * [backup-simplify]: Simplify 2.0 into 2.0 8.228 * [taylor]: Taking taylor expansion of PI in k 8.228 * [backup-simplify]: Simplify PI into PI 8.228 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.229 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.230 * [backup-simplify]: Simplify (+ 1 0) into 1 8.230 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.232 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 8.234 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 8.234 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.234 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 8.234 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 8.234 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.234 * [taylor]: Taking taylor expansion of 0.5 in k 8.234 * [backup-simplify]: Simplify 0.5 into 0.5 8.234 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.234 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.234 * [taylor]: Taking taylor expansion of k in k 8.234 * [backup-simplify]: Simplify 0 into 0 8.234 * [backup-simplify]: Simplify 1 into 1 8.234 * [backup-simplify]: Simplify (/ 1 1) into 1 8.234 * [taylor]: Taking taylor expansion of 1.0 in k 8.234 * [backup-simplify]: Simplify 1.0 into 1.0 8.234 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.234 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.235 * [taylor]: Taking taylor expansion of 2.0 in k 8.235 * [backup-simplify]: Simplify 2.0 into 2.0 8.235 * [taylor]: Taking taylor expansion of PI in k 8.235 * [backup-simplify]: Simplify PI into PI 8.235 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.236 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.237 * [backup-simplify]: Simplify (+ 1 0) into 1 8.237 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.239 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 8.240 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 8.241 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 8.241 * [backup-simplify]: Simplify 0 into 0 8.241 * [backup-simplify]: Simplify 0 into 0 8.241 * [backup-simplify]: Simplify 0 into 0 8.241 * [backup-simplify]: Simplify 0 into 0 8.241 * [backup-simplify]: Simplify 0 into 0 8.241 * [backup-simplify]: Simplify 0 into 0 8.242 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) 8.242 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 8.243 * [backup-simplify]: Simplify (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) into (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) 8.243 * [approximate]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in (k n) around 0 8.243 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in n 8.243 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in n 8.243 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in n 8.243 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in n 8.243 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 8.243 * [taylor]: Taking taylor expansion of 0.5 in n 8.243 * [backup-simplify]: Simplify 0.5 into 0.5 8.243 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 8.243 * [taylor]: Taking taylor expansion of 1.0 in n 8.243 * [backup-simplify]: Simplify 1.0 into 1.0 8.243 * [taylor]: Taking taylor expansion of k in n 8.243 * [backup-simplify]: Simplify k into k 8.243 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 8.243 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 8.243 * [taylor]: Taking taylor expansion of 2.0 in n 8.243 * [backup-simplify]: Simplify 2.0 into 2.0 8.243 * [taylor]: Taking taylor expansion of PI in n 8.243 * [backup-simplify]: Simplify PI into PI 8.243 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.244 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.244 * [backup-simplify]: Simplify (- k) into (- k) 8.244 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 8.244 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 8.245 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) into (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))) 8.246 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) into (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) 8.246 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 8.246 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 8.246 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 8.246 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 8.246 * [taylor]: Taking taylor expansion of 0.5 in n 8.246 * [backup-simplify]: Simplify 0.5 into 0.5 8.246 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 8.246 * [taylor]: Taking taylor expansion of 1.0 in n 8.246 * [backup-simplify]: Simplify 1.0 into 1.0 8.246 * [taylor]: Taking taylor expansion of k in n 8.246 * [backup-simplify]: Simplify k into k 8.246 * [taylor]: Taking taylor expansion of (log n) in n 8.246 * [taylor]: Taking taylor expansion of n in n 8.246 * [backup-simplify]: Simplify 0 into 0 8.246 * [backup-simplify]: Simplify 1 into 1 8.246 * [backup-simplify]: Simplify (log 1) into 0 8.246 * [backup-simplify]: Simplify (- k) into (- k) 8.246 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 8.246 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 8.246 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.247 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 8.247 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 8.247 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 8.247 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 8.247 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 8.247 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 8.247 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 8.247 * [taylor]: Taking taylor expansion of 0.5 in k 8.247 * [backup-simplify]: Simplify 0.5 into 0.5 8.247 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.247 * [taylor]: Taking taylor expansion of 1.0 in k 8.247 * [backup-simplify]: Simplify 1.0 into 1.0 8.247 * [taylor]: Taking taylor expansion of k in k 8.247 * [backup-simplify]: Simplify 0 into 0 8.247 * [backup-simplify]: Simplify 1 into 1 8.247 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.247 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.247 * [taylor]: Taking taylor expansion of 2.0 in k 8.247 * [backup-simplify]: Simplify 2.0 into 2.0 8.247 * [taylor]: Taking taylor expansion of PI in k 8.247 * [backup-simplify]: Simplify PI into PI 8.247 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.248 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.248 * [backup-simplify]: Simplify (- 0) into 0 8.248 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.249 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 8.250 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 8.251 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 8.251 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 8.251 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 8.251 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 8.251 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 8.251 * [taylor]: Taking taylor expansion of 0.5 in k 8.251 * [backup-simplify]: Simplify 0.5 into 0.5 8.251 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.251 * [taylor]: Taking taylor expansion of 1.0 in k 8.251 * [backup-simplify]: Simplify 1.0 into 1.0 8.251 * [taylor]: Taking taylor expansion of k in k 8.251 * [backup-simplify]: Simplify 0 into 0 8.251 * [backup-simplify]: Simplify 1 into 1 8.251 * [taylor]: Taking taylor expansion of (log n) in k 8.251 * [taylor]: Taking taylor expansion of n in k 8.252 * [backup-simplify]: Simplify n into n 8.252 * [backup-simplify]: Simplify (log n) into (log n) 8.252 * [backup-simplify]: Simplify (- 0) into 0 8.252 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.252 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 8.252 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 8.252 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 8.252 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 8.252 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 8.253 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 8.253 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 8.253 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 8.253 * [taylor]: Taking taylor expansion of 0.5 in k 8.253 * [backup-simplify]: Simplify 0.5 into 0.5 8.253 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.253 * [taylor]: Taking taylor expansion of 1.0 in k 8.253 * [backup-simplify]: Simplify 1.0 into 1.0 8.253 * [taylor]: Taking taylor expansion of k in k 8.253 * [backup-simplify]: Simplify 0 into 0 8.253 * [backup-simplify]: Simplify 1 into 1 8.253 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.253 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.253 * [taylor]: Taking taylor expansion of 2.0 in k 8.253 * [backup-simplify]: Simplify 2.0 into 2.0 8.253 * [taylor]: Taking taylor expansion of PI in k 8.253 * [backup-simplify]: Simplify PI into PI 8.253 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.254 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.254 * [backup-simplify]: Simplify (- 0) into 0 8.254 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.254 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 8.255 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 8.257 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 8.257 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 8.257 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 8.257 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 8.257 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 8.257 * [taylor]: Taking taylor expansion of 0.5 in k 8.257 * [backup-simplify]: Simplify 0.5 into 0.5 8.257 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.257 * [taylor]: Taking taylor expansion of 1.0 in k 8.257 * [backup-simplify]: Simplify 1.0 into 1.0 8.257 * [taylor]: Taking taylor expansion of k in k 8.257 * [backup-simplify]: Simplify 0 into 0 8.257 * [backup-simplify]: Simplify 1 into 1 8.257 * [taylor]: Taking taylor expansion of (log n) in k 8.257 * [taylor]: Taking taylor expansion of n in k 8.257 * [backup-simplify]: Simplify n into n 8.257 * [backup-simplify]: Simplify (log n) into (log n) 8.258 * [backup-simplify]: Simplify (- 0) into 0 8.258 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.258 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 8.258 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 8.258 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 8.259 * [backup-simplify]: Simplify (* (pow (* 2.0 PI) 0.5) (pow n 0.5)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) 8.259 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 8.259 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 8.259 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 8.259 * [taylor]: Taking taylor expansion of 0.5 in n 8.259 * [backup-simplify]: Simplify 0.5 into 0.5 8.259 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 8.260 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 8.260 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 8.260 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 8.260 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 8.260 * [taylor]: Taking taylor expansion of 1.0 in n 8.260 * [backup-simplify]: Simplify 1.0 into 1.0 8.260 * [taylor]: Taking taylor expansion of (log PI) in n 8.260 * [taylor]: Taking taylor expansion of PI in n 8.260 * [backup-simplify]: Simplify PI into PI 8.260 * [backup-simplify]: Simplify (log PI) into (log PI) 8.261 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 8.262 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 8.262 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 8.262 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 8.262 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 8.262 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 8.262 * [taylor]: Taking taylor expansion of 1.0 in n 8.262 * [backup-simplify]: Simplify 1.0 into 1.0 8.262 * [taylor]: Taking taylor expansion of (log n) in n 8.262 * [taylor]: Taking taylor expansion of n in n 8.262 * [backup-simplify]: Simplify 0 into 0 8.262 * [backup-simplify]: Simplify 1 into 1 8.262 * [backup-simplify]: Simplify (log 1) into 0 8.262 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.262 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 8.262 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 8.262 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 8.262 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 8.262 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 8.262 * [taylor]: Taking taylor expansion of 1.0 in n 8.262 * [backup-simplify]: Simplify 1.0 into 1.0 8.262 * [taylor]: Taking taylor expansion of (log 2.0) in n 8.263 * [taylor]: Taking taylor expansion of 2.0 in n 8.263 * [backup-simplify]: Simplify 2.0 into 2.0 8.263 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 8.264 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 8.264 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 8.265 * [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) 8.266 * [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) 8.266 * [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)) 8.267 * [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))) 8.268 * [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) 8.270 * [backup-simplify]: Simplify (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 (pow (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) 1.0) 0.5) 8.271 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 8.271 * [backup-simplify]: Simplify (- 1) into -1 8.272 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.274 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 8.275 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log n))) into (- (* 0.5 (log n))) 8.275 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 1) 1)))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 8.276 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 8.278 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 8.278 * [backup-simplify]: Simplify (- 1) into -1 8.279 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.280 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 8.284 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 PI)))) into (- (* 0.5 (log (* 2.0 PI)))) 8.296 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 1) 1)))) into (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 8.301 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 PI) 0.5) (* -0.5 (* (pow (pow n 1.0) 0.5) (log n)))) (* (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (pow n 0.5))) into (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) 8.301 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) in n 8.301 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) in n 8.301 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 8.301 * [taylor]: Taking taylor expansion of 0.5 in n 8.301 * [backup-simplify]: Simplify 0.5 into 0.5 8.301 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 8.301 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 8.301 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 8.301 * [taylor]: Taking taylor expansion of 2.0 in n 8.301 * [backup-simplify]: Simplify 2.0 into 2.0 8.301 * [taylor]: Taking taylor expansion of PI in n 8.301 * [backup-simplify]: Simplify PI into PI 8.301 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.302 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.302 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 8.302 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 8.302 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 8.302 * [taylor]: Taking taylor expansion of 0.5 in n 8.302 * [backup-simplify]: Simplify 0.5 into 0.5 8.302 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 8.302 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 8.302 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 8.302 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 8.302 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 8.302 * [taylor]: Taking taylor expansion of 1.0 in n 8.302 * [backup-simplify]: Simplify 1.0 into 1.0 8.302 * [taylor]: Taking taylor expansion of (log PI) in n 8.302 * [taylor]: Taking taylor expansion of PI in n 8.302 * [backup-simplify]: Simplify PI into PI 8.303 * [backup-simplify]: Simplify (log PI) into (log PI) 8.303 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 8.304 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 8.304 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 8.304 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 8.304 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 8.304 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 8.304 * [taylor]: Taking taylor expansion of 1.0 in n 8.304 * [backup-simplify]: Simplify 1.0 into 1.0 8.304 * [taylor]: Taking taylor expansion of (log n) in n 8.304 * [taylor]: Taking taylor expansion of n in n 8.304 * [backup-simplify]: Simplify 0 into 0 8.304 * [backup-simplify]: Simplify 1 into 1 8.305 * [backup-simplify]: Simplify (log 1) into 0 8.305 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.305 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 8.305 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 8.305 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 8.305 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 8.305 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 8.305 * [taylor]: Taking taylor expansion of 1.0 in n 8.305 * [backup-simplify]: Simplify 1.0 into 1.0 8.305 * [taylor]: Taking taylor expansion of (log 2.0) in n 8.305 * [taylor]: Taking taylor expansion of 2.0 in n 8.305 * [backup-simplify]: Simplify 2.0 into 2.0 8.306 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 8.306 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 8.307 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 8.307 * [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) 8.308 * [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) 8.309 * [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)) 8.310 * [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))) 8.311 * [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) 8.311 * [taylor]: Taking taylor expansion of (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 8.311 * [taylor]: Taking taylor expansion of 0.5 in n 8.311 * [backup-simplify]: Simplify 0.5 into 0.5 8.311 * [taylor]: Taking taylor expansion of (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 8.311 * [taylor]: Taking taylor expansion of (log n) in n 8.311 * [taylor]: Taking taylor expansion of n in n 8.311 * [backup-simplify]: Simplify 0 into 0 8.311 * [backup-simplify]: Simplify 1 into 1 8.311 * [backup-simplify]: Simplify (log 1) into 0 8.311 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 8.311 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 8.311 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 8.311 * [taylor]: Taking taylor expansion of 0.5 in n 8.311 * [backup-simplify]: Simplify 0.5 into 0.5 8.311 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 8.311 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 8.311 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 8.312 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 8.312 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 8.312 * [taylor]: Taking taylor expansion of 1.0 in n 8.312 * [backup-simplify]: Simplify 1.0 into 1.0 8.312 * [taylor]: Taking taylor expansion of (log PI) in n 8.312 * [taylor]: Taking taylor expansion of PI in n 8.312 * [backup-simplify]: Simplify PI into PI 8.312 * [backup-simplify]: Simplify (log PI) into (log PI) 8.312 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 8.313 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 8.313 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 8.313 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 8.314 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 8.314 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 8.314 * [taylor]: Taking taylor expansion of 1.0 in n 8.314 * [backup-simplify]: Simplify 1.0 into 1.0 8.314 * [taylor]: Taking taylor expansion of (log n) in n 8.314 * [taylor]: Taking taylor expansion of n in n 8.314 * [backup-simplify]: Simplify 0 into 0 8.314 * [backup-simplify]: Simplify 1 into 1 8.314 * [backup-simplify]: Simplify (log 1) into 0 8.314 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.314 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 8.314 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 8.314 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 8.314 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 8.314 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 8.314 * [taylor]: Taking taylor expansion of 1.0 in n 8.314 * [backup-simplify]: Simplify 1.0 into 1.0 8.314 * [taylor]: Taking taylor expansion of (log 2.0) in n 8.314 * [taylor]: Taking taylor expansion of 2.0 in n 8.314 * [backup-simplify]: Simplify 2.0 into 2.0 8.315 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 8.315 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 8.316 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 8.317 * [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) 8.317 * [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) 8.318 * [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)) 8.319 * [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))) 8.320 * [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) 8.322 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (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 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 8.324 * [backup-simplify]: Simplify (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) into (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 8.325 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.326 * [backup-simplify]: Simplify (* (log n) (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 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)) 8.327 * [backup-simplify]: Simplify (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) into (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 8.331 * [backup-simplify]: Simplify (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) into (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) 8.335 * [backup-simplify]: Simplify (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) into (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) 8.344 * [backup-simplify]: Simplify (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) into (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) 8.346 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 8.347 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 8.349 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 8.350 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.351 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.351 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 8.353 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 8.354 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 8.355 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 8.356 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 8.358 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 8.359 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0 8.361 * [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 8.363 * [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 8.365 * [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 8.365 * [backup-simplify]: Simplify 0 into 0 8.367 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 8.367 * [backup-simplify]: Simplify (- 0) into 0 8.368 * [backup-simplify]: Simplify (+ 0 0) into 0 8.369 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 8.370 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log n)))) into 0 8.371 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 8.372 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 8.375 * [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 8.376 * [backup-simplify]: Simplify (- 0) into 0 8.376 * [backup-simplify]: Simplify (+ 0 0) into 0 8.377 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 8.378 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 PI))))) into 0 8.393 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 8.409 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 PI) 0.5) (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2)))) (+ (* (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (* -0.5 (* (pow (pow n 1.0) 0.5) (log n)))) (* (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (pow n 0.5)))) into (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) 8.409 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) in n 8.409 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 8.409 * [taylor]: Taking taylor expansion of 0.125 in n 8.409 * [backup-simplify]: Simplify 0.125 into 0.125 8.410 * [taylor]: Taking taylor expansion of (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 8.410 * [taylor]: Taking taylor expansion of (pow (log n) 2) in n 8.410 * [taylor]: Taking taylor expansion of (log n) in n 8.410 * [taylor]: Taking taylor expansion of n in n 8.410 * [backup-simplify]: Simplify 0 into 0 8.410 * [backup-simplify]: Simplify 1 into 1 8.410 * [backup-simplify]: Simplify (log 1) into 0 8.410 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.410 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 8.410 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 8.410 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 8.410 * [taylor]: Taking taylor expansion of 0.5 in n 8.410 * [backup-simplify]: Simplify 0.5 into 0.5 8.410 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 8.411 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 8.411 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 8.411 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 8.411 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 8.411 * [taylor]: Taking taylor expansion of 1.0 in n 8.411 * [backup-simplify]: Simplify 1.0 into 1.0 8.411 * [taylor]: Taking taylor expansion of (log PI) in n 8.411 * [taylor]: Taking taylor expansion of PI in n 8.411 * [backup-simplify]: Simplify PI into PI 8.411 * [backup-simplify]: Simplify (log PI) into (log PI) 8.411 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 8.412 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 8.412 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 8.412 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 8.413 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 8.413 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 8.413 * [taylor]: Taking taylor expansion of 1.0 in n 8.413 * [backup-simplify]: Simplify 1.0 into 1.0 8.413 * [taylor]: Taking taylor expansion of (log n) in n 8.413 * [taylor]: Taking taylor expansion of n in n 8.413 * [backup-simplify]: Simplify 0 into 0 8.413 * [backup-simplify]: Simplify 1 into 1 8.413 * [backup-simplify]: Simplify (log 1) into 0 8.413 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.413 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 8.413 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 8.413 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 8.413 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 8.413 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 8.413 * [taylor]: Taking taylor expansion of 1.0 in n 8.413 * [backup-simplify]: Simplify 1.0 into 1.0 8.413 * [taylor]: Taking taylor expansion of (log 2.0) in n 8.413 * [taylor]: Taking taylor expansion of 2.0 in n 8.413 * [backup-simplify]: Simplify 2.0 into 2.0 8.414 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 8.414 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 8.415 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 8.416 * [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) 8.416 * [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) 8.417 * [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)) 8.418 * [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))) 8.419 * [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) 8.419 * [taylor]: Taking taylor expansion of (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) in n 8.419 * [taylor]: Taking taylor expansion of (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) in n 8.419 * [taylor]: Taking taylor expansion of 0.25 in n 8.419 * [backup-simplify]: Simplify 0.25 into 0.25 8.419 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)) in n 8.419 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (log n)) in n 8.419 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 8.419 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 8.419 * [taylor]: Taking taylor expansion of 2.0 in n 8.419 * [backup-simplify]: Simplify 2.0 into 2.0 8.419 * [taylor]: Taking taylor expansion of PI in n 8.419 * [backup-simplify]: Simplify PI into PI 8.419 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.420 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.420 * [taylor]: Taking taylor expansion of (log n) in n 8.420 * [taylor]: Taking taylor expansion of n in n 8.420 * [backup-simplify]: Simplify 0 into 0 8.420 * [backup-simplify]: Simplify 1 into 1 8.420 * [backup-simplify]: Simplify (log 1) into 0 8.420 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) in n 8.420 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))))) in n 8.420 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))))) in n 8.420 * [taylor]: Taking taylor expansion of 0.5 in n 8.420 * [backup-simplify]: Simplify 0.5 into 0.5 8.420 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) in n 8.420 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) in n 8.420 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 8.420 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 8.420 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 8.420 * [taylor]: Taking taylor expansion of 1.0 in n 8.420 * [backup-simplify]: Simplify 1.0 into 1.0 8.421 * [taylor]: Taking taylor expansion of (log PI) in n 8.421 * [taylor]: Taking taylor expansion of PI in n 8.421 * [backup-simplify]: Simplify PI into PI 8.421 * [backup-simplify]: Simplify (log PI) into (log PI) 8.421 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 8.422 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 8.422 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow n 1.0)) in n 8.422 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 8.422 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 8.422 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 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) in n 8.422 * [taylor]: Taking taylor expansion of 2.0 in n 8.422 * [backup-simplify]: Simplify 2.0 into 2.0 8.423 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 8.423 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 8.424 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 8.424 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 8.424 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 8.424 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 8.424 * [taylor]: Taking taylor expansion of 1.0 in n 8.424 * [backup-simplify]: Simplify 1.0 into 1.0 8.424 * [taylor]: Taking taylor expansion of (log n) in n 8.424 * [taylor]: Taking taylor expansion of n in n 8.424 * [backup-simplify]: Simplify 0 into 0 8.424 * [backup-simplify]: Simplify 1 into 1 8.425 * [backup-simplify]: Simplify (log 1) into 0 8.425 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.425 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 8.425 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 8.425 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 8.426 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 8.427 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 8.428 * [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))) 8.429 * [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) 8.429 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 8.429 * [taylor]: Taking taylor expansion of 0.125 in n 8.429 * [backup-simplify]: Simplify 0.125 into 0.125 8.429 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 8.429 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 PI)) 2) in n 8.429 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 8.429 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 8.429 * [taylor]: Taking taylor expansion of 2.0 in n 8.429 * [backup-simplify]: Simplify 2.0 into 2.0 8.429 * [taylor]: Taking taylor expansion of PI in n 8.429 * [backup-simplify]: Simplify PI into PI 8.429 * [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 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 8.430 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 8.430 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 8.430 * [taylor]: Taking taylor expansion of 0.5 in n 8.430 * [backup-simplify]: Simplify 0.5 into 0.5 8.430 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 8.430 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 8.430 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 8.430 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 8.430 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 8.430 * [taylor]: Taking taylor expansion of 1.0 in n 8.430 * [backup-simplify]: Simplify 1.0 into 1.0 8.430 * [taylor]: Taking taylor expansion of (log PI) in n 8.430 * [taylor]: Taking taylor expansion of PI in n 8.430 * [backup-simplify]: Simplify PI into PI 8.430 * [backup-simplify]: Simplify (log PI) into (log PI) 8.431 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 8.432 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 8.432 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 8.432 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 8.432 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 8.432 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 8.432 * [taylor]: Taking taylor expansion of 1.0 in n 8.432 * [backup-simplify]: Simplify 1.0 into 1.0 8.432 * [taylor]: Taking taylor expansion of (log n) in n 8.432 * [taylor]: Taking taylor expansion of n in n 8.432 * [backup-simplify]: Simplify 0 into 0 8.433 * [backup-simplify]: Simplify 1 into 1 8.433 * [backup-simplify]: Simplify (log 1) into 0 8.433 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.433 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 8.433 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 8.433 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 8.433 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 8.433 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 8.433 * [taylor]: Taking taylor expansion of 1.0 in n 8.433 * [backup-simplify]: Simplify 1.0 into 1.0 8.433 * [taylor]: Taking taylor expansion of (log 2.0) in n 8.433 * [taylor]: Taking taylor expansion of 2.0 in n 8.433 * [backup-simplify]: Simplify 2.0 into 2.0 8.434 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 8.434 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 8.435 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 8.436 * [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) 8.437 * [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) 8.437 * [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)) 8.438 * [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))) 8.439 * [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) 8.439 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.440 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.440 * [backup-simplify]: Simplify (* (log n) (log n)) into (pow (log n) 2) 8.441 * [backup-simplify]: Simplify (* (pow (log n) 2) (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 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2)) 8.442 * [backup-simplify]: Simplify (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) into (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 8.442 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.443 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (log n)) into (* (log (* 2.0 PI)) (log n)) 8.444 * [backup-simplify]: Simplify (* (* (log (* 2.0 PI)) (log n)) (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 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)) 8.446 * [backup-simplify]: Simplify (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) into (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) 8.447 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (log (* 2.0 PI))) into (pow (log (* 2.0 PI)) 2) 8.449 * [backup-simplify]: Simplify (* (pow (log (* 2.0 PI)) 2) (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 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 8.451 * [backup-simplify]: Simplify (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) into (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 8.456 * [backup-simplify]: Simplify (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) into (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) 8.471 * [backup-simplify]: Simplify (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) into (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))) 8.479 * [backup-simplify]: Simplify (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))) into (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))) 8.495 * [backup-simplify]: Simplify (+ (* (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))) (pow (* 1 k) 2)) (+ (* (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) (* 1 k)) (pow (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) 1.0) 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (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))) (pow (pow (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) 1.0) 1.0) 0.5)))) (+ (* 0.5 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) 8.496 * [backup-simplify]: Simplify (* (pow (* 2.0 PI) (/ (- 1.0 (/ 1 k)) 2.0)) (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0))) into (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) 8.496 * [approximate]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in (k n) around 0 8.496 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in n 8.496 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 8.496 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 8.496 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 8.496 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 8.496 * [taylor]: Taking taylor expansion of 0.5 in n 8.496 * [backup-simplify]: Simplify 0.5 into 0.5 8.496 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.496 * [taylor]: Taking taylor expansion of 1.0 in n 8.496 * [backup-simplify]: Simplify 1.0 into 1.0 8.496 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.496 * [taylor]: Taking taylor expansion of k in n 8.496 * [backup-simplify]: Simplify k into k 8.496 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.497 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 8.497 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.497 * [taylor]: Taking taylor expansion of n in n 8.497 * [backup-simplify]: Simplify 0 into 0 8.497 * [backup-simplify]: Simplify 1 into 1 8.497 * [backup-simplify]: Simplify (/ 1 1) into 1 8.497 * [backup-simplify]: Simplify (log 1) into 0 8.497 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 8.497 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 8.497 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 8.498 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 8.498 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 8.498 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 8.498 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in n 8.498 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in n 8.498 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in n 8.498 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 8.498 * [taylor]: Taking taylor expansion of 0.5 in n 8.498 * [backup-simplify]: Simplify 0.5 into 0.5 8.498 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.498 * [taylor]: Taking taylor expansion of 1.0 in n 8.498 * [backup-simplify]: Simplify 1.0 into 1.0 8.498 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.498 * [taylor]: Taking taylor expansion of k in n 8.498 * [backup-simplify]: Simplify k into k 8.498 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.498 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 8.498 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 8.498 * [taylor]: Taking taylor expansion of 2.0 in n 8.498 * [backup-simplify]: Simplify 2.0 into 2.0 8.498 * [taylor]: Taking taylor expansion of PI in n 8.498 * [backup-simplify]: Simplify PI into PI 8.498 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.499 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.499 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 8.499 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 8.499 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 8.500 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) into (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) 8.501 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 8.501 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 8.501 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.501 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 8.501 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 8.501 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.501 * [taylor]: Taking taylor expansion of 0.5 in k 8.501 * [backup-simplify]: Simplify 0.5 into 0.5 8.501 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.501 * [taylor]: Taking taylor expansion of 1.0 in k 8.501 * [backup-simplify]: Simplify 1.0 into 1.0 8.501 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.501 * [taylor]: Taking taylor expansion of k in k 8.501 * [backup-simplify]: Simplify 0 into 0 8.501 * [backup-simplify]: Simplify 1 into 1 8.501 * [backup-simplify]: Simplify (/ 1 1) into 1 8.501 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 8.501 * [taylor]: Taking taylor expansion of (/ 1 n) in k 8.501 * [taylor]: Taking taylor expansion of n in k 8.501 * [backup-simplify]: Simplify n into n 8.501 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.501 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 8.502 * [backup-simplify]: Simplify (- 1) into -1 8.502 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.502 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 8.502 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 8.502 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 8.502 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.502 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 8.502 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 8.502 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.502 * [taylor]: Taking taylor expansion of 0.5 in k 8.502 * [backup-simplify]: Simplify 0.5 into 0.5 8.502 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.502 * [taylor]: Taking taylor expansion of 1.0 in k 8.502 * [backup-simplify]: Simplify 1.0 into 1.0 8.502 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.502 * [taylor]: Taking taylor expansion of k in k 8.502 * [backup-simplify]: Simplify 0 into 0 8.503 * [backup-simplify]: Simplify 1 into 1 8.503 * [backup-simplify]: Simplify (/ 1 1) into 1 8.503 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.503 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.503 * [taylor]: Taking taylor expansion of 2.0 in k 8.503 * [backup-simplify]: Simplify 2.0 into 2.0 8.503 * [taylor]: Taking taylor expansion of PI in k 8.503 * [backup-simplify]: Simplify PI into PI 8.503 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.504 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.504 * [backup-simplify]: Simplify (- 1) into -1 8.504 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.505 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 8.506 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 8.506 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 8.506 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 8.506 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.506 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 8.506 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 8.506 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.506 * [taylor]: Taking taylor expansion of 0.5 in k 8.506 * [backup-simplify]: Simplify 0.5 into 0.5 8.506 * [taylor]: Taking taylor expansion of (- 1.0 (/ 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 (/ 1 k) in k 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 8.507 * [backup-simplify]: Simplify (/ 1 1) into 1 8.507 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 8.507 * [taylor]: Taking taylor expansion of (/ 1 n) in k 8.507 * [taylor]: Taking taylor expansion of n in k 8.507 * [backup-simplify]: Simplify n into n 8.507 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.507 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 8.507 * [backup-simplify]: Simplify (- 1) into -1 8.507 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.508 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 8.508 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 8.508 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 8.508 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.508 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 8.508 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 8.508 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.508 * [taylor]: Taking taylor expansion of 0.5 in k 8.508 * [backup-simplify]: Simplify 0.5 into 0.5 8.508 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.508 * [taylor]: Taking taylor expansion of 1.0 in k 8.508 * [backup-simplify]: Simplify 1.0 into 1.0 8.508 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.508 * [taylor]: Taking taylor expansion of k in k 8.508 * [backup-simplify]: Simplify 0 into 0 8.508 * [backup-simplify]: Simplify 1 into 1 8.508 * [backup-simplify]: Simplify (/ 1 1) into 1 8.508 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.508 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.508 * [taylor]: Taking taylor expansion of 2.0 in k 8.508 * [backup-simplify]: Simplify 2.0 into 2.0 8.508 * [taylor]: Taking taylor expansion of PI in k 8.508 * [backup-simplify]: Simplify PI into PI 8.509 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.509 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.510 * [backup-simplify]: Simplify (- 1) into -1 8.510 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.510 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 8.511 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 8.512 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 8.513 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) 8.513 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) in n 8.513 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 8.513 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 8.513 * [taylor]: Taking taylor expansion of 0.5 in n 8.513 * [backup-simplify]: Simplify 0.5 into 0.5 8.513 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 8.513 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 8.513 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.513 * [taylor]: Taking taylor expansion of n in n 8.513 * [backup-simplify]: Simplify 0 into 0 8.513 * [backup-simplify]: Simplify 1 into 1 8.513 * [backup-simplify]: Simplify (/ 1 1) into 1 8.513 * [backup-simplify]: Simplify (log 1) into 0 8.513 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.513 * [taylor]: Taking taylor expansion of 1.0 in n 8.513 * [backup-simplify]: Simplify 1.0 into 1.0 8.513 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.514 * [taylor]: Taking taylor expansion of k in n 8.514 * [backup-simplify]: Simplify k into k 8.514 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.514 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 8.514 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 8.514 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 8.514 * [backup-simplify]: Simplify (* (- (log n)) (- 1.0 (/ 1 k))) into (* -1 (* (log n) (- 1.0 (/ 1 k)))) 8.514 * [backup-simplify]: Simplify (* 0.5 (* -1 (* (log n) (- 1.0 (/ 1 k))))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 8.514 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 8.514 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 8.514 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 8.514 * [taylor]: Taking taylor expansion of 0.5 in n 8.514 * [backup-simplify]: Simplify 0.5 into 0.5 8.514 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 8.514 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 8.514 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 8.514 * [taylor]: Taking taylor expansion of 2.0 in n 8.514 * [backup-simplify]: Simplify 2.0 into 2.0 8.514 * [taylor]: Taking taylor expansion of PI in n 8.514 * [backup-simplify]: Simplify PI into PI 8.515 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.515 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.515 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.515 * [taylor]: Taking taylor expansion of 1.0 in n 8.515 * [backup-simplify]: Simplify 1.0 into 1.0 8.515 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.516 * [taylor]: Taking taylor expansion of k in n 8.516 * [backup-simplify]: Simplify k into k 8.516 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.516 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 8.516 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 8.516 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) into (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) 8.517 * [backup-simplify]: Simplify (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) 8.518 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 8.519 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k)))))) 8.519 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k)))))) into (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k)))))) 8.520 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into 0 8.520 * [taylor]: Taking taylor expansion of 0 in n 8.520 * [backup-simplify]: Simplify 0 into 0 8.520 * [backup-simplify]: Simplify 0 into 0 8.520 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 8.521 * [backup-simplify]: Simplify (- 0) into 0 8.521 * [backup-simplify]: Simplify (+ 0 0) into 0 8.522 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 8.523 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 8.523 * [backup-simplify]: Simplify (+ (* (log (* 2.0 PI)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 8.524 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into 0 8.526 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 8.526 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 8.527 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 8.527 * [backup-simplify]: Simplify (- 0) into 0 8.527 * [backup-simplify]: Simplify (+ 0 0) into 0 8.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.529 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.530 * [backup-simplify]: Simplify (+ (* (- (log n)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 8.530 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* -1 (* (log n) (- 1.0 (/ 1 k)))))) into 0 8.531 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 8.533 * [backup-simplify]: Simplify (+ (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into 0 8.533 * [backup-simplify]: Simplify 0 into 0 8.535 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) into 0 8.535 * [taylor]: Taking taylor expansion of 0 in n 8.535 * [backup-simplify]: Simplify 0 into 0 8.535 * [backup-simplify]: Simplify 0 into 0 8.535 * [backup-simplify]: Simplify 0 into 0 8.535 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.536 * [backup-simplify]: Simplify (- 0) into 0 8.536 * [backup-simplify]: Simplify (+ 0 0) into 0 8.537 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 8.541 * [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 8.542 * [backup-simplify]: Simplify (+ (* (log (* 2.0 PI)) 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 8.544 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into 0 8.547 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.547 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 8.548 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.548 * [backup-simplify]: Simplify (- 0) into 0 8.548 * [backup-simplify]: Simplify (+ 0 0) into 0 8.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.552 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 8.553 * [backup-simplify]: Simplify (+ (* (- (log n)) 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 8.554 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* -1 (* (log n) (- 1.0 (/ 1 k))))))) into 0 8.556 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.558 * [backup-simplify]: Simplify (+ (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) into 0 8.558 * [backup-simplify]: Simplify 0 into 0 8.560 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))))) into 0 8.560 * [taylor]: Taking taylor expansion of 0 in n 8.560 * [backup-simplify]: Simplify 0 into 0 8.560 * [backup-simplify]: Simplify 0 into 0 8.562 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))) (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k))))))) into (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))) 8.563 * [backup-simplify]: Simplify (* (pow (* 2.0 PI) (/ (- 1.0 (/ 1 (- k))) 2.0)) (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0))) into (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) 8.563 * [approximate]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in (k n) around 0 8.563 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in n 8.563 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 8.563 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 8.563 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 8.563 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 8.563 * [taylor]: Taking taylor expansion of 0.5 in n 8.563 * [backup-simplify]: Simplify 0.5 into 0.5 8.563 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.563 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.563 * [taylor]: Taking taylor expansion of k in n 8.563 * [backup-simplify]: Simplify k into k 8.563 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.563 * [taylor]: Taking taylor expansion of 1.0 in n 8.563 * [backup-simplify]: Simplify 1.0 into 1.0 8.563 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 8.563 * [taylor]: Taking taylor expansion of (/ -1 n) in n 8.563 * [taylor]: Taking taylor expansion of -1 in n 8.563 * [backup-simplify]: Simplify -1 into -1 8.563 * [taylor]: Taking taylor expansion of n in n 8.563 * [backup-simplify]: Simplify 0 into 0 8.563 * [backup-simplify]: Simplify 1 into 1 8.564 * [backup-simplify]: Simplify (/ -1 1) into -1 8.564 * [backup-simplify]: Simplify (log -1) into (log -1) 8.564 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 8.565 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 8.565 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 8.566 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 8.567 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 8.567 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in n 8.567 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in n 8.567 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in n 8.567 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 8.567 * [taylor]: Taking taylor expansion of 0.5 in n 8.567 * [backup-simplify]: Simplify 0.5 into 0.5 8.567 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.567 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.567 * [taylor]: Taking taylor expansion of k in n 8.567 * [backup-simplify]: Simplify k into k 8.567 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.567 * [taylor]: Taking taylor expansion of 1.0 in n 8.567 * [backup-simplify]: Simplify 1.0 into 1.0 8.567 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 8.567 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 8.567 * [taylor]: Taking taylor expansion of 2.0 in n 8.567 * [backup-simplify]: Simplify 2.0 into 2.0 8.567 * [taylor]: Taking taylor expansion of PI in n 8.567 * [backup-simplify]: Simplify PI into PI 8.568 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.569 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.569 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 8.569 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 8.570 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) into (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) 8.572 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 8.572 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in k 8.572 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.572 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 8.572 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 8.572 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.572 * [taylor]: Taking taylor expansion of 0.5 in k 8.572 * [backup-simplify]: Simplify 0.5 into 0.5 8.572 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.572 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.572 * [taylor]: Taking taylor expansion of k in k 8.572 * [backup-simplify]: Simplify 0 into 0 8.572 * [backup-simplify]: Simplify 1 into 1 8.573 * [backup-simplify]: Simplify (/ 1 1) into 1 8.573 * [taylor]: Taking taylor expansion of 1.0 in k 8.573 * [backup-simplify]: Simplify 1.0 into 1.0 8.573 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 8.573 * [taylor]: Taking taylor expansion of (/ -1 n) in k 8.573 * [taylor]: Taking taylor expansion of -1 in k 8.573 * [backup-simplify]: Simplify -1 into -1 8.573 * [taylor]: Taking taylor expansion of n in k 8.573 * [backup-simplify]: Simplify n into n 8.573 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 8.573 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 8.574 * [backup-simplify]: Simplify (+ 1 0) into 1 8.574 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.574 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 8.574 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 8.574 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.575 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 8.575 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 8.575 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.575 * [taylor]: Taking taylor expansion of 0.5 in k 8.575 * [backup-simplify]: Simplify 0.5 into 0.5 8.575 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.575 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.575 * [taylor]: Taking taylor expansion of k in k 8.575 * [backup-simplify]: Simplify 0 into 0 8.575 * [backup-simplify]: Simplify 1 into 1 8.575 * [backup-simplify]: Simplify (/ 1 1) into 1 8.575 * [taylor]: Taking taylor expansion of 1.0 in k 8.575 * [backup-simplify]: Simplify 1.0 into 1.0 8.575 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.575 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.575 * [taylor]: Taking taylor expansion of 2.0 in k 8.575 * [backup-simplify]: Simplify 2.0 into 2.0 8.575 * [taylor]: Taking taylor expansion of PI in k 8.575 * [backup-simplify]: Simplify PI into PI 8.576 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.577 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.577 * [backup-simplify]: Simplify (+ 1 0) into 1 8.578 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.580 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 8.581 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 8.581 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in k 8.581 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.581 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 8.581 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 8.581 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.581 * [taylor]: Taking taylor expansion of 0.5 in k 8.581 * [backup-simplify]: Simplify 0.5 into 0.5 8.581 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.581 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.581 * [taylor]: Taking taylor expansion of k in k 8.581 * [backup-simplify]: Simplify 0 into 0 8.581 * [backup-simplify]: Simplify 1 into 1 8.582 * [backup-simplify]: Simplify (/ 1 1) into 1 8.582 * [taylor]: Taking taylor expansion of 1.0 in k 8.582 * [backup-simplify]: Simplify 1.0 into 1.0 8.582 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 8.582 * [taylor]: Taking taylor expansion of (/ -1 n) in k 8.582 * [taylor]: Taking taylor expansion of -1 in k 8.582 * [backup-simplify]: Simplify -1 into -1 8.582 * [taylor]: Taking taylor expansion of n in k 8.582 * [backup-simplify]: Simplify n into n 8.582 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 8.582 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 8.582 * [backup-simplify]: Simplify (+ 1 0) into 1 8.583 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.583 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 8.583 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 8.583 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.583 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 8.583 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 8.583 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.583 * [taylor]: Taking taylor expansion of 0.5 in k 8.583 * [backup-simplify]: Simplify 0.5 into 0.5 8.583 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.583 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.583 * [taylor]: Taking taylor expansion of k in k 8.583 * [backup-simplify]: Simplify 0 into 0 8.583 * [backup-simplify]: Simplify 1 into 1 8.584 * [backup-simplify]: Simplify (/ 1 1) into 1 8.584 * [taylor]: Taking taylor expansion of 1.0 in k 8.584 * [backup-simplify]: Simplify 1.0 into 1.0 8.584 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.584 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.584 * [taylor]: Taking taylor expansion of 2.0 in k 8.584 * [backup-simplify]: Simplify 2.0 into 2.0 8.584 * [taylor]: Taking taylor expansion of PI in k 8.584 * [backup-simplify]: Simplify PI into PI 8.585 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.586 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.587 * [backup-simplify]: Simplify (+ 1 0) into 1 8.587 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.589 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 8.590 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 8.591 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) 8.591 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) in n 8.591 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 8.591 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 8.591 * [taylor]: Taking taylor expansion of 0.5 in n 8.591 * [backup-simplify]: Simplify 0.5 into 0.5 8.591 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 8.591 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.591 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.591 * [taylor]: Taking taylor expansion of k in n 8.591 * [backup-simplify]: Simplify k into k 8.591 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.591 * [taylor]: Taking taylor expansion of 1.0 in n 8.591 * [backup-simplify]: Simplify 1.0 into 1.0 8.591 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 8.591 * [taylor]: Taking taylor expansion of (/ -1 n) in n 8.591 * [taylor]: Taking taylor expansion of -1 in n 8.591 * [backup-simplify]: Simplify -1 into -1 8.591 * [taylor]: Taking taylor expansion of n in n 8.591 * [backup-simplify]: Simplify 0 into 0 8.591 * [backup-simplify]: Simplify 1 into 1 8.591 * [backup-simplify]: Simplify (/ -1 1) into -1 8.592 * [backup-simplify]: Simplify (log -1) into (log -1) 8.592 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 8.592 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 8.593 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log -1) (log n))) into (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) 8.593 * [backup-simplify]: Simplify (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 8.593 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 8.594 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n 8.594 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n 8.594 * [taylor]: Taking taylor expansion of 0.5 in n 8.594 * [backup-simplify]: Simplify 0.5 into 0.5 8.594 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n 8.594 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 8.594 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 8.594 * [taylor]: Taking taylor expansion of 2.0 in n 8.594 * [backup-simplify]: Simplify 2.0 into 2.0 8.594 * [taylor]: Taking taylor expansion of PI in n 8.594 * [backup-simplify]: Simplify PI into PI 8.594 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.595 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.595 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.595 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.595 * [taylor]: Taking taylor expansion of k in n 8.595 * [backup-simplify]: Simplify k into k 8.595 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.595 * [taylor]: Taking taylor expansion of 1.0 in n 8.595 * [backup-simplify]: Simplify 1.0 into 1.0 8.595 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 8.596 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) into (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) 8.596 * [backup-simplify]: Simplify (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) 8.597 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 8.602 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) 8.603 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) into (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) 8.604 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into 0 8.604 * [taylor]: Taking taylor expansion of 0 in n 8.604 * [backup-simplify]: Simplify 0 into 0 8.604 * [backup-simplify]: Simplify 0 into 0 8.604 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 8.604 * [backup-simplify]: Simplify (+ 0 0) into 0 8.605 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 8.606 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 8.606 * [backup-simplify]: Simplify (+ (* (log (* 2.0 PI)) 0) (* 0 (+ (/ 1 k) 1.0))) into 0 8.607 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into 0 8.608 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 8.609 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.610 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 8.610 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 8.610 * [backup-simplify]: Simplify (+ 0 0) into 0 8.610 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 8.611 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (- (log -1) (log n)))) into 0 8.611 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into 0 8.612 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 8.613 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into 0 8.613 * [backup-simplify]: Simplify 0 into 0 8.614 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) into 0 8.614 * [taylor]: Taking taylor expansion of 0 in n 8.614 * [backup-simplify]: Simplify 0 into 0 8.614 * [backup-simplify]: Simplify 0 into 0 8.614 * [backup-simplify]: Simplify 0 into 0 8.615 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.615 * [backup-simplify]: Simplify (+ 0 0) into 0 8.615 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 8.618 * [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 8.619 * [backup-simplify]: Simplify (+ (* (log (* 2.0 PI)) 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 8.621 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into 0 8.624 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.625 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.626 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 8.626 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.627 * [backup-simplify]: Simplify (+ 0 0) into 0 8.627 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 8.628 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 8.628 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) into 0 8.629 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.631 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) into 0 8.631 * [backup-simplify]: Simplify 0 into 0 8.633 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))))) into 0 8.633 * [taylor]: Taking taylor expansion of 0 in n 8.633 * [backup-simplify]: Simplify 0 into 0 8.633 * [backup-simplify]: Simplify 0 into 0 8.634 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0))))) into (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))) 8.634 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 8.634 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 8.634 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 8.634 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 8.634 * [taylor]: Taking taylor expansion of 1.0 in k 8.634 * [backup-simplify]: Simplify 1.0 into 1.0 8.634 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.634 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.634 * [taylor]: Taking taylor expansion of k in k 8.634 * [backup-simplify]: Simplify 0 into 0 8.634 * [backup-simplify]: Simplify 1 into 1 8.634 * [backup-simplify]: Simplify (/ 1 1) into 1 8.635 * [backup-simplify]: Simplify (sqrt 0) into 0 8.635 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.635 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 8.636 * [taylor]: Taking taylor expansion of 1.0 in k 8.636 * [backup-simplify]: Simplify 1.0 into 1.0 8.636 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.636 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.636 * [taylor]: Taking taylor expansion of k in k 8.636 * [backup-simplify]: Simplify 0 into 0 8.636 * [backup-simplify]: Simplify 1 into 1 8.636 * [backup-simplify]: Simplify (/ 1 1) into 1 8.636 * [backup-simplify]: Simplify (sqrt 0) into 0 8.637 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.637 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.637 * [backup-simplify]: Simplify 0 into 0 8.638 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 8.638 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.640 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.642 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 8.642 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.645 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.646 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 8.646 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.647 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 8.647 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 8.647 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 8.647 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 8.647 * [taylor]: Taking taylor expansion of 1.0 in k 8.647 * [backup-simplify]: Simplify 1.0 into 1.0 8.647 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.647 * [taylor]: Taking taylor expansion of k in k 8.647 * [backup-simplify]: Simplify 0 into 0 8.647 * [backup-simplify]: Simplify 1 into 1 8.647 * [backup-simplify]: Simplify (sqrt 0) into 0 8.648 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.648 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 8.648 * [taylor]: Taking taylor expansion of 1.0 in k 8.648 * [backup-simplify]: Simplify 1.0 into 1.0 8.648 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.648 * [taylor]: Taking taylor expansion of k in k 8.648 * [backup-simplify]: Simplify 0 into 0 8.648 * [backup-simplify]: Simplify 1 into 1 8.649 * [backup-simplify]: Simplify (sqrt 0) into 0 8.649 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.650 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.650 * [backup-simplify]: Simplify 0 into 0 8.650 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 8.651 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.652 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.654 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 8.655 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.659 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.661 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 8.662 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.664 * [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)))))))) 8.664 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 8.664 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 8.664 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 8.664 * [taylor]: Taking taylor expansion of 1.0 in k 8.664 * [backup-simplify]: Simplify 1.0 into 1.0 8.664 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.664 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.664 * [taylor]: Taking taylor expansion of -1 in k 8.664 * [backup-simplify]: Simplify -1 into -1 8.664 * [taylor]: Taking taylor expansion of k in k 8.664 * [backup-simplify]: Simplify 0 into 0 8.664 * [backup-simplify]: Simplify 1 into 1 8.665 * [backup-simplify]: Simplify (/ -1 1) into -1 8.665 * [backup-simplify]: Simplify (sqrt 0) into 0 8.666 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.667 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 8.667 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 8.667 * [taylor]: Taking taylor expansion of 1.0 in k 8.667 * [backup-simplify]: Simplify 1.0 into 1.0 8.667 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.667 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.667 * [taylor]: Taking taylor expansion of -1 in k 8.667 * [backup-simplify]: Simplify -1 into -1 8.667 * [taylor]: Taking taylor expansion of k in k 8.667 * [backup-simplify]: Simplify 0 into 0 8.667 * [backup-simplify]: Simplify 1 into 1 8.668 * [backup-simplify]: Simplify (/ -1 1) into -1 8.668 * [backup-simplify]: Simplify (sqrt 0) into 0 8.670 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.670 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 8.670 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.671 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.674 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.677 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 8.677 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.678 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.682 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.686 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 8.687 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.688 * [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))))) 8.688 * * * [progress]: simplifying candidates 8.693 * [simplify]: Simplifying: (* (log n) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (/ (sqrt (- 1.0 k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n 1) (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))) (exp (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0)) (pow (* 2.0 PI) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) 1) (pow (* 2.0 PI) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (exp (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (* (* 2.0 PI) n) (+ (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0)))) (log (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (exp (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (* (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (sqrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (sqrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0))) (* (pow (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0))))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) 1) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0))) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ (- 1.0 k) 2.0))) (- (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) (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (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))) (pow (pow (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) 1.0) 1.0) 0.5)))) (+ (* 0.5 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))) (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 8.697 * * [simplify]: Extracting # 0 : cost 0 8.697 * * [simplify]: Extracting # 1 : cost 0 8.697 * * [simplify]: Extracting # 2 : cost 0 8.698 * * [simplify]: Extracting # 3 : cost 0 8.698 * * [simplify]: Extracting # 4 : cost 0 8.699 * * [simplify]: Extracting # 5 : cost 0 8.699 * * [simplify]: Extracting # 6 : cost 0 8.699 * * [simplify]: Extracting # 7 : cost 0 8.700 * * [simplify]: Extracting # 8 : cost 0 8.700 * * [simplify]: Extracting # 9 : cost 0 8.701 * * [simplify]: Extracting # 10 : cost 0 8.701 * * [simplify]: Extracting # 11 : cost 0 8.702 * * [simplify]: Extracting # 12 : cost 0 8.702 * * [simplify]: Extracting # 13 : cost 0 8.702 * * [simplify]: Extracting # 14 : cost 0 8.703 * * [simplify]: Extracting # 15 : cost 0 8.703 * * [simplify]: Extracting # 16 : cost 0 8.708 * * [simplify]: Extracting # 17 : cost 0 8.708 * * [simplify]: Extracting # 18 : cost 0 8.709 * * [simplify]: Extracting # 19 : cost 0 8.709 * * [simplify]: iteration 0 : 316 enodes (cost 2486 ) 8.833 * * [simplify]: Extracting # 0 : cost 0 8.834 * * [simplify]: Extracting # 1 : cost 0 8.835 * * [simplify]: Extracting # 2 : cost 0 8.836 * * [simplify]: Extracting # 3 : cost 0 8.837 * * [simplify]: Extracting # 4 : cost 0 8.838 * * [simplify]: Extracting # 5 : cost 0 8.839 * * [simplify]: iteration 1 : 752 enodes (cost 2260 ) 9.206 * * [simplify]: Extracting # 0 : cost 0 9.211 * * [simplify]: Extracting # 1 : cost 0 9.217 * * [simplify]: Extracting # 2 : cost 0 9.223 * * [simplify]: Extracting # 3 : cost 0 9.229 * * [simplify]: Extracting # 4 : cost 0 9.235 * * [simplify]: iteration 2 : 2229 enodes (cost 2160 ) 10.171 * * [simplify]: Extracting # 0 : cost 0 10.177 * * [simplify]: Extracting # 1 : cost 0 10.193 * * [simplify]: Extracting # 2 : cost 0 10.199 * * [simplify]: Extracting # 3 : cost 0 10.212 * * [simplify]: Extracting # 4 : cost 0 10.224 * * [simplify]: Extracting # 5 : cost 0 10.237 * * [simplify]: iteration done: 5000 enodes (cost 2107 ) 10.240 * [simplify]: Simplified to: (log (pow n (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0))) (/ (- 1.0 k) 2.0) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (sqrt (- 1.0 k))) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) n (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (+ (sqrt 1.0) (sqrt k))) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) n n (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) 1 (pow n (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))) (exp (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))) (pow (pow n (/ (- 1.0 k) 2.0)) 3) (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (/ (* (- 1.0 k) (log (* 2.0 PI))) 2.0) (/ (* (- 1.0 k) (log (* 2.0 PI))) 2.0) (/ (* (- 1.0 k) (log (* 2.0 PI))) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0)) (pow (* 2.0 PI) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 PI) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 PI) (sqrt (- 1.0 k))) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (* 2.0 PI) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 PI) (+ (sqrt 1.0) (sqrt k))) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (* 2.0 PI) (* 2.0 PI) (pow (* 2.0 PI) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (/ (* (- 1.0 k) (log (* 2.0 PI))) 2.0) (exp (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (* (* 2.0 PI) n) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (exp (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (pow (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) 3) (* (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (pow (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) 3) (sqrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (sqrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0))) (* (pow (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0))))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0))) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ (- 1.0 k) 2.0))) (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) (+ (pow n 0.5) (* (pow (pow n 1.0) 0.5) (- (* 0.125 (* (pow k 2) (pow (log n) 2))) (* 0.5 (* k (log n)))))) (pow (/ 1 n) (* -0.5 (- 1.0 k))) (pow (exp (* 0.5 (- 1.0 k))) (+ 0 (log n))) (+ (pow (* 2.0 PI) 0.5) (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (- (* 0.125 (* (pow k 2) (pow (log (* 2.0 PI)) 2))) (* 0.5 (* k (log (* 2.0 PI))))))) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (- (+ (+ (* 0.25 (* (* (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))) (pow (pow (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) 1.0) 1.0) 0.5)) (* 0.125 (* (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow k 2)) (+ (pow (log n) 2) (pow (log (* 2.0 PI)) 2))))) (* (* (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (+ (log (* 2.0 PI)) (log n))) 0.5)) (exp (* (- 1.0 k) (+ (* -0.5 (- (log n))) (* 0.5 (log (* 2.0 PI)))))) (pow (exp (* 0.5 (- 1.0 k))) (+ (+ 0 (log n)) (log (* 2.0 PI)))) (- (+ (* k (- +nan.0 (* +nan.0 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)) 10.242 * * * [progress]: adding candidates to table 11.032 * * [progress]: iteration 3 / 4 11.032 * * * [progress]: picking best candidate 11.066 * * * * [pick]: Picked # 11.066 * * * [progress]: localizing error 11.093 * * * [progress]: generating rewritten candidates 11.093 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 11.109 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 11.123 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 11.468 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 11.648 * * * [progress]: generating series expansions 11.648 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 11.648 * [backup-simplify]: Simplify (pow n (/ (- 1.0 k) 2.0)) into (pow n (* 0.5 (- 1.0 k))) 11.648 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 11.648 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 11.648 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 11.648 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 11.648 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 11.648 * [taylor]: Taking taylor expansion of 0.5 in k 11.648 * [backup-simplify]: Simplify 0.5 into 0.5 11.648 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.648 * [taylor]: Taking taylor expansion of 1.0 in k 11.648 * [backup-simplify]: Simplify 1.0 into 1.0 11.648 * [taylor]: Taking taylor expansion of k in k 11.648 * [backup-simplify]: Simplify 0 into 0 11.648 * [backup-simplify]: Simplify 1 into 1 11.648 * [taylor]: Taking taylor expansion of (log n) in k 11.648 * [taylor]: Taking taylor expansion of n in k 11.648 * [backup-simplify]: Simplify n into n 11.649 * [backup-simplify]: Simplify (log n) into (log n) 11.649 * [backup-simplify]: Simplify (- 0) into 0 11.650 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.650 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 11.650 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 11.650 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 11.650 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 11.650 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 11.650 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 11.651 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 11.651 * [taylor]: Taking taylor expansion of 0.5 in n 11.651 * [backup-simplify]: Simplify 0.5 into 0.5 11.651 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 11.651 * [taylor]: Taking taylor expansion of 1.0 in n 11.651 * [backup-simplify]: Simplify 1.0 into 1.0 11.651 * [taylor]: Taking taylor expansion of k in n 11.651 * [backup-simplify]: Simplify k into k 11.651 * [taylor]: Taking taylor expansion of (log n) in n 11.651 * [taylor]: Taking taylor expansion of n in n 11.651 * [backup-simplify]: Simplify 0 into 0 11.651 * [backup-simplify]: Simplify 1 into 1 11.651 * [backup-simplify]: Simplify (log 1) into 0 11.651 * [backup-simplify]: Simplify (- k) into (- k) 11.651 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 11.651 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 11.652 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.652 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 11.652 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 11.652 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 11.652 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 11.652 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 11.652 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 11.652 * [taylor]: Taking taylor expansion of 0.5 in n 11.652 * [backup-simplify]: Simplify 0.5 into 0.5 11.652 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 11.652 * [taylor]: Taking taylor expansion of 1.0 in n 11.653 * [backup-simplify]: Simplify 1.0 into 1.0 11.653 * [taylor]: Taking taylor expansion of k in n 11.653 * [backup-simplify]: Simplify k into k 11.653 * [taylor]: Taking taylor expansion of (log n) in n 11.653 * [taylor]: Taking taylor expansion of n in n 11.653 * [backup-simplify]: Simplify 0 into 0 11.653 * [backup-simplify]: Simplify 1 into 1 11.653 * [backup-simplify]: Simplify (log 1) into 0 11.653 * [backup-simplify]: Simplify (- k) into (- k) 11.653 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 11.653 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 11.654 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.654 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 11.654 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 11.654 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 11.654 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 11.654 * [taylor]: Taking taylor expansion of 0.5 in k 11.654 * [backup-simplify]: Simplify 0.5 into 0.5 11.654 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 11.654 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.654 * [taylor]: Taking taylor expansion of 1.0 in k 11.654 * [backup-simplify]: Simplify 1.0 into 1.0 11.654 * [taylor]: Taking taylor expansion of k in k 11.654 * [backup-simplify]: Simplify 0 into 0 11.655 * [backup-simplify]: Simplify 1 into 1 11.655 * [taylor]: Taking taylor expansion of (log n) in k 11.660 * [taylor]: Taking taylor expansion of n in k 11.660 * [backup-simplify]: Simplify n into n 11.660 * [backup-simplify]: Simplify (log n) into (log n) 11.660 * [backup-simplify]: Simplify (- 0) into 0 11.661 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.661 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 11.661 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (log n))) into (* 0.5 (log n)) 11.661 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 11.661 * [backup-simplify]: Simplify (pow n 0.5) into (pow n 0.5) 11.662 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.662 * [backup-simplify]: Simplify (- 0) into 0 11.662 * [backup-simplify]: Simplify (+ 0 0) into 0 11.662 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 11.663 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.663 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (log n))) into 0 11.664 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 11.664 * [taylor]: Taking taylor expansion of 0 in k 11.664 * [backup-simplify]: Simplify 0 into 0 11.664 * [backup-simplify]: Simplify 0 into 0 11.664 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 11.664 * [backup-simplify]: Simplify (- 1) into -1 11.665 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.665 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (log n))) into (- (log n)) 11.665 * [backup-simplify]: Simplify (+ (* 0.5 (- (log n))) (* 0 (* 1.0 (log n)))) into (- (* 0.5 (log n))) 11.665 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 1) 1)))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 11.666 * [backup-simplify]: Simplify (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 11.667 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 11.667 * [backup-simplify]: Simplify (- 0) into 0 11.668 * [backup-simplify]: Simplify (+ 0 0) into 0 11.668 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 11.668 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.669 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 11.670 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.670 * [taylor]: Taking taylor expansion of 0 in k 11.670 * [backup-simplify]: Simplify 0 into 0 11.670 * [backup-simplify]: Simplify 0 into 0 11.670 * [backup-simplify]: Simplify 0 into 0 11.671 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 11.671 * [backup-simplify]: Simplify (- 0) into 0 11.671 * [backup-simplify]: Simplify (+ 0 0) into 0 11.672 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (log n)))) into 0 11.672 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (log n))) (* 0 (* 1.0 (log n))))) into 0 11.673 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 11.673 * [backup-simplify]: Simplify (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 11.674 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) (* k 1)) (pow n 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) 11.674 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) 11.674 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 11.674 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 11.674 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 11.674 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 11.674 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 11.674 * [taylor]: Taking taylor expansion of 0.5 in k 11.674 * [backup-simplify]: Simplify 0.5 into 0.5 11.674 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 11.674 * [taylor]: Taking taylor expansion of 1.0 in k 11.674 * [backup-simplify]: Simplify 1.0 into 1.0 11.674 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.674 * [taylor]: Taking taylor expansion of k in k 11.674 * [backup-simplify]: Simplify 0 into 0 11.674 * [backup-simplify]: Simplify 1 into 1 11.674 * [backup-simplify]: Simplify (/ 1 1) into 1 11.674 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 11.674 * [taylor]: Taking taylor expansion of (/ 1 n) in k 11.674 * [taylor]: Taking taylor expansion of n in k 11.674 * [backup-simplify]: Simplify n into n 11.675 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.675 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 11.675 * [backup-simplify]: Simplify (- 1) into -1 11.675 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.675 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 11.675 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 11.676 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 11.676 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 11.676 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 11.676 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 11.676 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 11.676 * [taylor]: Taking taylor expansion of 0.5 in n 11.676 * [backup-simplify]: Simplify 0.5 into 0.5 11.676 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 11.676 * [taylor]: Taking taylor expansion of 1.0 in n 11.676 * [backup-simplify]: Simplify 1.0 into 1.0 11.676 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.676 * [taylor]: Taking taylor expansion of k in n 11.676 * [backup-simplify]: Simplify k into k 11.676 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 11.676 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 11.676 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.676 * [taylor]: Taking taylor expansion of n in n 11.676 * [backup-simplify]: Simplify 0 into 0 11.676 * [backup-simplify]: Simplify 1 into 1 11.676 * [backup-simplify]: Simplify (/ 1 1) into 1 11.676 * [backup-simplify]: Simplify (log 1) into 0 11.676 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 11.676 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 11.677 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 11.677 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 11.677 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 11.677 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 11.677 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 11.677 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 11.677 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 11.677 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 11.677 * [taylor]: Taking taylor expansion of 0.5 in n 11.677 * [backup-simplify]: Simplify 0.5 into 0.5 11.677 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 11.677 * [taylor]: Taking taylor expansion of 1.0 in n 11.677 * [backup-simplify]: Simplify 1.0 into 1.0 11.677 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.677 * [taylor]: Taking taylor expansion of k in n 11.677 * [backup-simplify]: Simplify k into k 11.677 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 11.677 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 11.677 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.677 * [taylor]: Taking taylor expansion of n in n 11.677 * [backup-simplify]: Simplify 0 into 0 11.677 * [backup-simplify]: Simplify 1 into 1 11.678 * [backup-simplify]: Simplify (/ 1 1) into 1 11.678 * [backup-simplify]: Simplify (log 1) into 0 11.678 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 11.678 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 11.678 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 11.678 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 11.678 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 11.679 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 11.679 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in k 11.679 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in k 11.679 * [taylor]: Taking taylor expansion of -0.5 in k 11.679 * [backup-simplify]: Simplify -0.5 into -0.5 11.679 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 11.679 * [taylor]: Taking taylor expansion of (log n) in k 11.679 * [taylor]: Taking taylor expansion of n in k 11.679 * [backup-simplify]: Simplify n into n 11.679 * [backup-simplify]: Simplify (log n) into (log n) 11.679 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 11.679 * [taylor]: Taking taylor expansion of 1.0 in k 11.679 * [backup-simplify]: Simplify 1.0 into 1.0 11.679 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.679 * [taylor]: Taking taylor expansion of k in k 11.679 * [backup-simplify]: Simplify 0 into 0 11.679 * [backup-simplify]: Simplify 1 into 1 11.679 * [backup-simplify]: Simplify (/ 1 1) into 1 11.679 * [backup-simplify]: Simplify (- 1) into -1 11.680 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.680 * [backup-simplify]: Simplify (* (log n) -1) into (* -1 (log n)) 11.680 * [backup-simplify]: Simplify (* -0.5 (* -1 (log n))) into (* 0.5 (log n)) 11.680 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 11.680 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 11.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.681 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.681 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 11.682 * [backup-simplify]: Simplify (- 0) into 0 11.682 * [backup-simplify]: Simplify (+ 0 0) into 0 11.682 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 11.682 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 11.683 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 11.683 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.683 * [taylor]: Taking taylor expansion of 0 in k 11.683 * [backup-simplify]: Simplify 0 into 0 11.683 * [backup-simplify]: Simplify 0 into 0 11.683 * [backup-simplify]: Simplify 0 into 0 11.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.685 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 11.685 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 11.686 * [backup-simplify]: Simplify (- 0) into 0 11.686 * [backup-simplify]: Simplify (+ 0 0) into 0 11.686 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 11.687 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 11.687 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 11.688 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.688 * [taylor]: Taking taylor expansion of 0 in k 11.688 * [backup-simplify]: Simplify 0 into 0 11.688 * [backup-simplify]: Simplify 0 into 0 11.688 * [backup-simplify]: Simplify 0 into 0 11.688 * [backup-simplify]: Simplify 0 into 0 11.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.694 * [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 11.694 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 11.694 * [backup-simplify]: Simplify (- 0) into 0 11.695 * [backup-simplify]: Simplify (+ 0 0) into 0 11.696 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 11.696 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 11.697 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 11.699 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 11.699 * [taylor]: Taking taylor expansion of 0 in k 11.699 * [backup-simplify]: Simplify 0 into 0 11.699 * [backup-simplify]: Simplify 0 into 0 11.699 * [backup-simplify]: Simplify (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) 11.700 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) 11.700 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 11.700 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 11.700 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 11.700 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 11.700 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 11.700 * [taylor]: Taking taylor expansion of 0.5 in k 11.700 * [backup-simplify]: Simplify 0.5 into 0.5 11.700 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 11.700 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.700 * [taylor]: Taking taylor expansion of k in k 11.700 * [backup-simplify]: Simplify 0 into 0 11.700 * [backup-simplify]: Simplify 1 into 1 11.701 * [backup-simplify]: Simplify (/ 1 1) into 1 11.701 * [taylor]: Taking taylor expansion of 1.0 in k 11.701 * [backup-simplify]: Simplify 1.0 into 1.0 11.701 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 11.701 * [taylor]: Taking taylor expansion of (/ -1 n) in k 11.701 * [taylor]: Taking taylor expansion of -1 in k 11.701 * [backup-simplify]: Simplify -1 into -1 11.701 * [taylor]: Taking taylor expansion of n in k 11.701 * [backup-simplify]: Simplify n into n 11.701 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 11.701 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 11.702 * [backup-simplify]: Simplify (+ 1 0) into 1 11.702 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 11.702 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 11.702 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 11.702 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 11.702 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 11.702 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 11.702 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 11.702 * [taylor]: Taking taylor expansion of 0.5 in n 11.703 * [backup-simplify]: Simplify 0.5 into 0.5 11.703 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 11.703 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.703 * [taylor]: Taking taylor expansion of k in n 11.703 * [backup-simplify]: Simplify k into k 11.703 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 11.703 * [taylor]: Taking taylor expansion of 1.0 in n 11.703 * [backup-simplify]: Simplify 1.0 into 1.0 11.703 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 11.703 * [taylor]: Taking taylor expansion of (/ -1 n) in n 11.703 * [taylor]: Taking taylor expansion of -1 in n 11.703 * [backup-simplify]: Simplify -1 into -1 11.703 * [taylor]: Taking taylor expansion of n in n 11.703 * [backup-simplify]: Simplify 0 into 0 11.703 * [backup-simplify]: Simplify 1 into 1 11.704 * [backup-simplify]: Simplify (/ -1 1) into -1 11.704 * [backup-simplify]: Simplify (log -1) into (log -1) 11.704 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 11.704 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 11.705 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 11.706 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 11.706 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 11.706 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 11.706 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 11.706 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 11.706 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 11.706 * [taylor]: Taking taylor expansion of 0.5 in n 11.706 * [backup-simplify]: Simplify 0.5 into 0.5 11.706 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 11.706 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.707 * [taylor]: Taking taylor expansion of k in n 11.707 * [backup-simplify]: Simplify k into k 11.707 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 11.707 * [taylor]: Taking taylor expansion of 1.0 in n 11.707 * [backup-simplify]: Simplify 1.0 into 1.0 11.707 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 11.707 * [taylor]: Taking taylor expansion of (/ -1 n) in n 11.707 * [taylor]: Taking taylor expansion of -1 in n 11.707 * [backup-simplify]: Simplify -1 into -1 11.707 * [taylor]: Taking taylor expansion of n in n 11.707 * [backup-simplify]: Simplify 0 into 0 11.707 * [backup-simplify]: Simplify 1 into 1 11.707 * [backup-simplify]: Simplify (/ -1 1) into -1 11.708 * [backup-simplify]: Simplify (log -1) into (log -1) 11.708 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 11.708 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 11.709 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 11.709 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 11.710 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 11.710 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 11.710 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 11.710 * [taylor]: Taking taylor expansion of 0.5 in k 11.710 * [backup-simplify]: Simplify 0.5 into 0.5 11.710 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 11.710 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 11.710 * [taylor]: Taking taylor expansion of (log -1) in k 11.710 * [taylor]: Taking taylor expansion of -1 in k 11.710 * [backup-simplify]: Simplify -1 into -1 11.711 * [backup-simplify]: Simplify (log -1) into (log -1) 11.711 * [taylor]: Taking taylor expansion of (log n) in k 11.711 * [taylor]: Taking taylor expansion of n in k 11.711 * [backup-simplify]: Simplify n into n 11.711 * [backup-simplify]: Simplify (log n) into (log n) 11.711 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 11.711 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.711 * [taylor]: Taking taylor expansion of k in k 11.711 * [backup-simplify]: Simplify 0 into 0 11.711 * [backup-simplify]: Simplify 1 into 1 11.711 * [backup-simplify]: Simplify (/ 1 1) into 1 11.711 * [taylor]: Taking taylor expansion of 1.0 in k 11.711 * [backup-simplify]: Simplify 1.0 into 1.0 11.712 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 11.712 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 11.712 * [backup-simplify]: Simplify (+ 1 0) into 1 11.713 * [backup-simplify]: Simplify (* (- (log -1) (log n)) 1) into (- (log -1) (log n)) 11.714 * [backup-simplify]: Simplify (* 0.5 (- (log -1) (log n))) into (* 0.5 (- (log -1) (log n))) 11.714 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 11.715 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 11.716 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.717 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 11.717 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 11.718 * [backup-simplify]: Simplify (+ 0 0) into 0 11.718 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 11.719 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 11.720 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log -1) (log n)))) into 0 11.721 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 11.721 * [taylor]: Taking taylor expansion of 0 in k 11.721 * [backup-simplify]: Simplify 0 into 0 11.721 * [backup-simplify]: Simplify 0 into 0 11.721 * [backup-simplify]: Simplify 0 into 0 11.722 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.723 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 11.723 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 11.724 * [backup-simplify]: Simplify (+ 0 0) into 0 11.724 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 11.725 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 11.725 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 11.726 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.726 * [taylor]: Taking taylor expansion of 0 in k 11.726 * [backup-simplify]: Simplify 0 into 0 11.726 * [backup-simplify]: Simplify 0 into 0 11.726 * [backup-simplify]: Simplify 0 into 0 11.726 * [backup-simplify]: Simplify 0 into 0 11.727 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.730 * [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 11.730 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 11.730 * [backup-simplify]: Simplify (+ 0 0) into 0 11.731 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 11.732 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 11.733 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 11.734 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 11.734 * [taylor]: Taking taylor expansion of 0 in k 11.734 * [backup-simplify]: Simplify 0 into 0 11.734 * [backup-simplify]: Simplify 0 into 0 11.734 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) 11.735 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 11.735 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 11.735 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 11.735 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 11.735 * [taylor]: Taking taylor expansion of 1.0 in k 11.735 * [backup-simplify]: Simplify 1.0 into 1.0 11.735 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 11.735 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.735 * [taylor]: Taking taylor expansion of k in k 11.735 * [backup-simplify]: Simplify 0 into 0 11.735 * [backup-simplify]: Simplify 1 into 1 11.735 * [backup-simplify]: Simplify (/ 1 1) into 1 11.735 * [backup-simplify]: Simplify (sqrt 0) into 0 11.736 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.736 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 11.736 * [taylor]: Taking taylor expansion of 1.0 in k 11.736 * [backup-simplify]: Simplify 1.0 into 1.0 11.736 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 11.736 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.736 * [taylor]: Taking taylor expansion of k in k 11.736 * [backup-simplify]: Simplify 0 into 0 11.736 * [backup-simplify]: Simplify 1 into 1 11.737 * [backup-simplify]: Simplify (/ 1 1) into 1 11.737 * [backup-simplify]: Simplify (sqrt 0) into 0 11.738 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.738 * [backup-simplify]: Simplify (* 1.0 0) into 0 11.738 * [backup-simplify]: Simplify 0 into 0 11.739 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 11.739 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.741 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.743 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 11.743 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.746 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 11.747 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 11.747 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.748 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 11.748 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 11.748 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 11.748 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 11.748 * [taylor]: Taking taylor expansion of 1.0 in k 11.748 * [backup-simplify]: Simplify 1.0 into 1.0 11.748 * [taylor]: Taking taylor expansion of (sqrt k) in k 11.748 * [taylor]: Taking taylor expansion of k in k 11.748 * [backup-simplify]: Simplify 0 into 0 11.748 * [backup-simplify]: Simplify 1 into 1 11.748 * [backup-simplify]: Simplify (sqrt 0) into 0 11.749 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.749 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 11.749 * [taylor]: Taking taylor expansion of 1.0 in k 11.749 * [backup-simplify]: Simplify 1.0 into 1.0 11.749 * [taylor]: Taking taylor expansion of (sqrt k) in k 11.749 * [taylor]: Taking taylor expansion of k in k 11.749 * [backup-simplify]: Simplify 0 into 0 11.749 * [backup-simplify]: Simplify 1 into 1 11.749 * [backup-simplify]: Simplify (sqrt 0) into 0 11.750 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.750 * [backup-simplify]: Simplify (* 1.0 0) into 0 11.751 * [backup-simplify]: Simplify 0 into 0 11.751 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 11.752 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.753 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.754 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 11.755 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.757 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 11.758 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 11.758 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.759 * [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)))))))) 11.759 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 11.759 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 11.759 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 11.759 * [taylor]: Taking taylor expansion of 1.0 in k 11.759 * [backup-simplify]: Simplify 1.0 into 1.0 11.760 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 11.760 * [taylor]: Taking taylor expansion of (/ -1 k) in k 11.760 * [taylor]: Taking taylor expansion of -1 in k 11.760 * [backup-simplify]: Simplify -1 into -1 11.760 * [taylor]: Taking taylor expansion of k in k 11.760 * [backup-simplify]: Simplify 0 into 0 11.760 * [backup-simplify]: Simplify 1 into 1 11.760 * [backup-simplify]: Simplify (/ -1 1) into -1 11.760 * [backup-simplify]: Simplify (sqrt 0) into 0 11.761 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 11.764 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 11.764 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 11.764 * [taylor]: Taking taylor expansion of 1.0 in k 11.764 * [backup-simplify]: Simplify 1.0 into 1.0 11.764 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 11.764 * [taylor]: Taking taylor expansion of (/ -1 k) in k 11.764 * [taylor]: Taking taylor expansion of -1 in k 11.764 * [backup-simplify]: Simplify -1 into -1 11.764 * [taylor]: Taking taylor expansion of k in k 11.764 * [backup-simplify]: Simplify 0 into 0 11.764 * [backup-simplify]: Simplify 1 into 1 11.765 * [backup-simplify]: Simplify (/ -1 1) into -1 11.765 * [backup-simplify]: Simplify (sqrt 0) into 0 11.766 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 11.766 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 11.766 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.767 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.768 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.770 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 11.770 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.771 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.773 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 11.775 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 11.775 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.776 * [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))))) 11.776 * * * * [progress]: [ 3 / 4 ] generating series at (2) 11.777 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (- 1.0 k) 2.0))))) into (* 1.0 (* (sqrt (/ 1 k)) (* (pow n (* 0.5 (- 1.0 k))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2)))) 11.777 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow n (* 0.5 (- 1.0 k))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2)))) in (k n) around 0 11.777 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow n (* 0.5 (- 1.0 k))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2)))) in n 11.777 * [taylor]: Taking taylor expansion of 1.0 in n 11.777 * [backup-simplify]: Simplify 1.0 into 1.0 11.777 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow n (* 0.5 (- 1.0 k))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2))) in n 11.777 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 11.777 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.777 * [taylor]: Taking taylor expansion of k in n 11.777 * [backup-simplify]: Simplify k into k 11.777 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 11.777 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 11.778 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 11.778 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 11.778 * [taylor]: Taking taylor expansion of (* (pow n (* 0.5 (- 1.0 k))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2)) in n 11.778 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 11.778 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 11.778 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 11.778 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 11.778 * [taylor]: Taking taylor expansion of 0.5 in n 11.778 * [backup-simplify]: Simplify 0.5 into 0.5 11.778 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 11.778 * [taylor]: Taking taylor expansion of 1.0 in n 11.778 * [backup-simplify]: Simplify 1.0 into 1.0 11.778 * [taylor]: Taking taylor expansion of k in n 11.778 * [backup-simplify]: Simplify k into k 11.778 * [taylor]: Taking taylor expansion of (log n) in n 11.778 * [taylor]: Taking taylor expansion of n in n 11.778 * [backup-simplify]: Simplify 0 into 0 11.778 * [backup-simplify]: Simplify 1 into 1 11.778 * [backup-simplify]: Simplify (log 1) into 0 11.778 * [backup-simplify]: Simplify (- k) into (- k) 11.778 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 11.778 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 11.778 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.779 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 11.779 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 11.779 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2) in n 11.779 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) in n 11.779 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI)))) in n 11.779 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI))) in n 11.779 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 11.779 * [taylor]: Taking taylor expansion of 0.25 in n 11.779 * [backup-simplify]: Simplify 0.25 into 0.25 11.779 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 11.779 * [taylor]: Taking taylor expansion of 1.0 in n 11.779 * [backup-simplify]: Simplify 1.0 into 1.0 11.779 * [taylor]: Taking taylor expansion of k in n 11.779 * [backup-simplify]: Simplify k into k 11.779 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 11.779 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 11.779 * [taylor]: Taking taylor expansion of 2.0 in n 11.779 * [backup-simplify]: Simplify 2.0 into 2.0 11.779 * [taylor]: Taking taylor expansion of PI in n 11.779 * [backup-simplify]: Simplify PI into PI 11.779 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 11.780 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 11.780 * [backup-simplify]: Simplify (- k) into (- k) 11.780 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 11.780 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 11.781 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI))) into (* 0.25 (* (- 1.0 k) (log (* 2.0 PI)))) 11.781 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) into (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) 11.781 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow n (* 0.5 (- 1.0 k))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2)))) in k 11.781 * [taylor]: Taking taylor expansion of 1.0 in k 11.781 * [backup-simplify]: Simplify 1.0 into 1.0 11.781 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow n (* 0.5 (- 1.0 k))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2))) in k 11.781 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 11.782 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.782 * [taylor]: Taking taylor expansion of k in k 11.782 * [backup-simplify]: Simplify 0 into 0 11.782 * [backup-simplify]: Simplify 1 into 1 11.782 * [backup-simplify]: Simplify (/ 1 1) into 1 11.782 * [backup-simplify]: Simplify (sqrt 0) into 0 11.783 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.783 * [taylor]: Taking taylor expansion of (* (pow n (* 0.5 (- 1.0 k))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2)) in k 11.783 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 11.783 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 11.783 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 11.783 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 11.783 * [taylor]: Taking taylor expansion of 0.5 in k 11.783 * [backup-simplify]: Simplify 0.5 into 0.5 11.783 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.783 * [taylor]: Taking taylor expansion of 1.0 in k 11.783 * [backup-simplify]: Simplify 1.0 into 1.0 11.783 * [taylor]: Taking taylor expansion of k in k 11.783 * [backup-simplify]: Simplify 0 into 0 11.783 * [backup-simplify]: Simplify 1 into 1 11.783 * [taylor]: Taking taylor expansion of (log n) in k 11.783 * [taylor]: Taking taylor expansion of n in k 11.783 * [backup-simplify]: Simplify n into n 11.783 * [backup-simplify]: Simplify (log n) into (log n) 11.783 * [backup-simplify]: Simplify (- 0) into 0 11.784 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.784 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 11.784 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 11.784 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 11.784 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2) in k 11.784 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) in k 11.784 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI)))) in k 11.784 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI))) in k 11.784 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 11.784 * [taylor]: Taking taylor expansion of 0.25 in k 11.784 * [backup-simplify]: Simplify 0.25 into 0.25 11.784 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.784 * [taylor]: Taking taylor expansion of 1.0 in k 11.784 * [backup-simplify]: Simplify 1.0 into 1.0 11.784 * [taylor]: Taking taylor expansion of k in k 11.784 * [backup-simplify]: Simplify 0 into 0 11.784 * [backup-simplify]: Simplify 1 into 1 11.784 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 11.784 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 11.784 * [taylor]: Taking taylor expansion of 2.0 in k 11.784 * [backup-simplify]: Simplify 2.0 into 2.0 11.784 * [taylor]: Taking taylor expansion of PI in k 11.784 * [backup-simplify]: Simplify PI into PI 11.785 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 11.785 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 11.785 * [backup-simplify]: Simplify (- 0) into 0 11.786 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.786 * [backup-simplify]: Simplify (* 0.25 1.0) into 0.25 11.787 * [backup-simplify]: Simplify (* 0.25 (log (* 2.0 PI))) into (* 0.25 (log (* 2.0 PI))) 11.788 * [backup-simplify]: Simplify (exp (* 0.25 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.25) 11.789 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow n (* 0.5 (- 1.0 k))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2)))) in k 11.789 * [taylor]: Taking taylor expansion of 1.0 in k 11.789 * [backup-simplify]: Simplify 1.0 into 1.0 11.789 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow n (* 0.5 (- 1.0 k))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2))) in k 11.789 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 11.789 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.789 * [taylor]: Taking taylor expansion of k in k 11.789 * [backup-simplify]: Simplify 0 into 0 11.789 * [backup-simplify]: Simplify 1 into 1 11.789 * [backup-simplify]: Simplify (/ 1 1) into 1 11.789 * [backup-simplify]: Simplify (sqrt 0) into 0 11.790 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.790 * [taylor]: Taking taylor expansion of (* (pow n (* 0.5 (- 1.0 k))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2)) in k 11.790 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 11.790 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 11.790 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 11.790 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 11.790 * [taylor]: Taking taylor expansion of 0.5 in k 11.790 * [backup-simplify]: Simplify 0.5 into 0.5 11.790 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.790 * [taylor]: Taking taylor expansion of 1.0 in k 11.790 * [backup-simplify]: Simplify 1.0 into 1.0 11.790 * [taylor]: Taking taylor expansion of k in k 11.790 * [backup-simplify]: Simplify 0 into 0 11.790 * [backup-simplify]: Simplify 1 into 1 11.790 * [taylor]: Taking taylor expansion of (log n) in k 11.790 * [taylor]: Taking taylor expansion of n in k 11.790 * [backup-simplify]: Simplify n into n 11.790 * [backup-simplify]: Simplify (log n) into (log n) 11.790 * [backup-simplify]: Simplify (- 0) into 0 11.791 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.791 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 11.791 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 11.791 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 11.791 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2) in k 11.791 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) in k 11.791 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI)))) in k 11.791 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI))) in k 11.791 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 11.791 * [taylor]: Taking taylor expansion of 0.25 in k 11.791 * [backup-simplify]: Simplify 0.25 into 0.25 11.791 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.791 * [taylor]: Taking taylor expansion of 1.0 in k 11.791 * [backup-simplify]: Simplify 1.0 into 1.0 11.791 * [taylor]: Taking taylor expansion of k in k 11.791 * [backup-simplify]: Simplify 0 into 0 11.791 * [backup-simplify]: Simplify 1 into 1 11.791 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 11.791 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 11.791 * [taylor]: Taking taylor expansion of 2.0 in k 11.791 * [backup-simplify]: Simplify 2.0 into 2.0 11.791 * [taylor]: Taking taylor expansion of PI in k 11.791 * [backup-simplify]: Simplify PI into PI 11.792 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 11.792 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 11.793 * [backup-simplify]: Simplify (- 0) into 0 11.793 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.793 * [backup-simplify]: Simplify (* 0.25 1.0) into 0.25 11.794 * [backup-simplify]: Simplify (* 0.25 (log (* 2.0 PI))) into (* 0.25 (log (* 2.0 PI))) 11.796 * [backup-simplify]: Simplify (exp (* 0.25 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.25) 11.798 * [backup-simplify]: Simplify (* (pow (* 2.0 PI) 0.25) (pow (* 2.0 PI) 0.25)) into (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) 11.800 * [backup-simplify]: Simplify (* (pow n 0.5) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) 11.800 * [backup-simplify]: Simplify (* 0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) into 0 11.801 * [backup-simplify]: Simplify (* 1.0 0) into 0 11.801 * [taylor]: Taking taylor expansion of 0 in n 11.801 * [backup-simplify]: Simplify 0 into 0 11.801 * [backup-simplify]: Simplify 0 into 0 11.801 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 11.802 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 11.803 * [backup-simplify]: Simplify (- 1) into -1 11.803 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.804 * [backup-simplify]: Simplify (+ (* 0.25 -1) (* 0 1.0)) into (- 0.25) 11.806 * [backup-simplify]: Simplify (+ (* 0.25 0) (* (- 0.25) (log (* 2.0 PI)))) into (- (* 0.25 (log (* 2.0 PI)))) 11.813 * [backup-simplify]: Simplify (* (exp (* 0.25 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.25 (log (* 2.0 PI)))) 1) 1)))) into (* -0.25 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25))) 11.829 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 PI) 0.25) (* -0.25 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25)))) (* (* -0.25 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25))) (pow (* 2.0 PI) 0.25))) into (- (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) 11.829 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 11.829 * [backup-simplify]: Simplify (- 1) into -1 11.830 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.831 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 11.831 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log n))) into (- (* 0.5 (log n))) 11.831 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 1) 1)))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 11.838 * [backup-simplify]: Simplify (+ (* (pow n 0.5) (- (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) (* (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) into (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))))) 11.841 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)))))) (* +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))) 11.842 * [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))) 11.842 * [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 11.842 * [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 11.842 * [taylor]: Taking taylor expansion of +nan.0 in n 11.842 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.842 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 11.843 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 11.843 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 11.843 * [taylor]: Taking taylor expansion of 0.5 in n 11.843 * [backup-simplify]: Simplify 0.5 into 0.5 11.843 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 11.843 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 11.843 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 11.843 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 11.843 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 11.843 * [taylor]: Taking taylor expansion of 1.0 in n 11.843 * [backup-simplify]: Simplify 1.0 into 1.0 11.843 * [taylor]: Taking taylor expansion of (log PI) in n 11.843 * [taylor]: Taking taylor expansion of PI in n 11.843 * [backup-simplify]: Simplify PI into PI 11.843 * [backup-simplify]: Simplify (log PI) into (log PI) 11.844 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 11.845 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 11.845 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 11.845 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 11.845 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 11.845 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 11.845 * [taylor]: Taking taylor expansion of 1.0 in n 11.845 * [backup-simplify]: Simplify 1.0 into 1.0 11.845 * [taylor]: Taking taylor expansion of (log n) in n 11.845 * [taylor]: Taking taylor expansion of n in n 11.845 * [backup-simplify]: Simplify 0 into 0 11.845 * [backup-simplify]: Simplify 1 into 1 11.845 * [backup-simplify]: Simplify (log 1) into 0 11.845 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.845 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 11.845 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 11.845 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 11.845 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 11.845 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 11.845 * [taylor]: Taking taylor expansion of 1.0 in n 11.845 * [backup-simplify]: Simplify 1.0 into 1.0 11.845 * [taylor]: Taking taylor expansion of (log 2.0) in n 11.845 * [taylor]: Taking taylor expansion of 2.0 in n 11.845 * [backup-simplify]: Simplify 2.0 into 2.0 11.846 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 11.846 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 11.847 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 11.848 * [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) 11.848 * [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) 11.849 * [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)) 11.850 * [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))) 11.854 * [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) 11.855 * [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)) 11.856 * [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))) 11.857 * [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))) 11.857 * [backup-simplify]: Simplify 0 into 0 11.858 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 11.862 * [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 11.862 * [backup-simplify]: Simplify (- 0) into 0 11.862 * [backup-simplify]: Simplify (+ 0 0) into 0 11.863 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 -1) (* 0 1.0))) into 0 11.865 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* (- 0.25) 0) (* 0 (log (* 2.0 PI))))) into 0 11.881 * [backup-simplify]: Simplify (* (exp (* 0.25 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.25 (log (* 2.0 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.03125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25))) 11.925 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 PI) 0.25) (* 0.03125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25)))) (+ (* (* -0.25 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25))) (* -0.25 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25)))) (* (* 0.03125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25))) (pow (* 2.0 PI) 0.25)))) into (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 11.927 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 11.927 * [backup-simplify]: Simplify (- 0) into 0 11.928 * [backup-simplify]: Simplify (+ 0 0) into 0 11.929 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 11.929 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log n)))) into 0 11.931 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 11.946 * [backup-simplify]: Simplify (+ (* (pow n 0.5) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (+ (* (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) (- (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) (* (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) into (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))) 11.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.948 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.956 * [backup-simplify]: Simplify (+ (* 0 (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))) (+ (* +nan.0 (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)))))) (* +nan.0 (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 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)))))))) 11.961 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +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 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))))))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0))) 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 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)))))))) 11.961 * [taylor]: Taking taylor expansion of (- (+ (* +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 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)))))))) in n 11.961 * [taylor]: Taking taylor expansion of (+ (* +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 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))))))) in n 11.961 * [taylor]: Taking taylor expansion of (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 11.961 * [taylor]: Taking taylor expansion of +nan.0 in n 11.961 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.961 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 11.961 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 11.961 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 11.961 * [taylor]: Taking taylor expansion of 2.0 in n 11.961 * [backup-simplify]: Simplify 2.0 into 2.0 11.961 * [taylor]: Taking taylor expansion of PI in n 11.961 * [backup-simplify]: Simplify PI into PI 11.962 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 11.962 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 11.962 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 11.962 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 11.962 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 11.962 * [taylor]: Taking taylor expansion of 0.5 in n 11.962 * [backup-simplify]: Simplify 0.5 into 0.5 11.962 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 11.962 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 11.962 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 11.963 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 11.963 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 11.963 * [taylor]: Taking taylor expansion of 1.0 in n 11.963 * [backup-simplify]: Simplify 1.0 into 1.0 11.963 * [taylor]: Taking taylor expansion of (log PI) in n 11.963 * [taylor]: Taking taylor expansion of PI in n 11.963 * [backup-simplify]: Simplify PI into PI 11.963 * [backup-simplify]: Simplify (log PI) into (log PI) 11.963 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 11.964 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 11.964 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 11.964 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 11.964 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 11.965 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 11.965 * [taylor]: Taking taylor expansion of 1.0 in n 11.965 * [backup-simplify]: Simplify 1.0 into 1.0 11.965 * [taylor]: Taking taylor expansion of (log n) in n 11.965 * [taylor]: Taking taylor expansion of n in n 11.965 * [backup-simplify]: Simplify 0 into 0 11.965 * [backup-simplify]: Simplify 1 into 1 11.965 * [backup-simplify]: Simplify (log 1) into 0 11.966 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.966 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 11.966 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 11.966 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 11.966 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 11.966 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 11.966 * [taylor]: Taking taylor expansion of 1.0 in n 11.966 * [backup-simplify]: Simplify 1.0 into 1.0 11.966 * [taylor]: Taking taylor expansion of (log 2.0) in n 11.966 * [taylor]: Taking taylor expansion of 2.0 in n 11.966 * [backup-simplify]: Simplify 2.0 into 2.0 11.966 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 11.967 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 11.969 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 11.970 * [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) 11.971 * [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) 11.972 * [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)) 11.974 * [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))) 11.975 * [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) 11.975 * [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 n)))))) in n 11.975 * [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 n))))) in n 11.975 * [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 11.975 * [taylor]: Taking taylor expansion of +nan.0 in n 11.975 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.975 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 11.975 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 11.975 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 11.975 * [taylor]: Taking taylor expansion of 0.5 in n 11.975 * [backup-simplify]: Simplify 0.5 into 0.5 11.975 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 11.976 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 11.976 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 11.976 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 11.976 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 11.976 * [taylor]: Taking taylor expansion of 1.0 in n 11.976 * [backup-simplify]: Simplify 1.0 into 1.0 11.976 * [taylor]: Taking taylor expansion of (log PI) in n 11.976 * [taylor]: Taking taylor expansion of PI in n 11.976 * [backup-simplify]: Simplify PI into PI 11.981 * [backup-simplify]: Simplify (log PI) into (log PI) 11.982 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 11.984 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 11.984 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 11.984 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 11.984 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 11.984 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 11.984 * [taylor]: Taking taylor expansion of 1.0 in n 11.984 * [backup-simplify]: Simplify 1.0 into 1.0 11.984 * [taylor]: Taking taylor expansion of (log n) in n 11.984 * [taylor]: Taking taylor expansion of n in n 11.984 * [backup-simplify]: Simplify 0 into 0 11.984 * [backup-simplify]: Simplify 1 into 1 11.984 * [backup-simplify]: Simplify (log 1) into 0 11.985 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.985 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 11.985 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 11.985 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 11.985 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 11.985 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 11.985 * [taylor]: Taking taylor expansion of 1.0 in n 11.985 * [backup-simplify]: Simplify 1.0 into 1.0 11.985 * [taylor]: Taking taylor expansion of (log 2.0) in n 11.985 * [taylor]: Taking taylor expansion of 2.0 in n 11.985 * [backup-simplify]: Simplify 2.0 into 2.0 11.986 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 11.987 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 11.988 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 11.989 * [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) 11.990 * [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) 11.991 * [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)) 11.993 * [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))) 11.994 * [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) 11.994 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)))) in n 11.995 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) in n 11.995 * [taylor]: Taking taylor expansion of +nan.0 in n 11.995 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.995 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)) in n 11.995 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 11.995 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 11.995 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 11.995 * [taylor]: Taking taylor expansion of 0.5 in n 11.995 * [backup-simplify]: Simplify 0.5 into 0.5 11.995 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 11.995 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 11.995 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 11.995 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 11.995 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 11.995 * [taylor]: Taking taylor expansion of 1.0 in n 11.995 * [backup-simplify]: Simplify 1.0 into 1.0 11.995 * [taylor]: Taking taylor expansion of (log 2.0) in n 11.995 * [taylor]: Taking taylor expansion of 2.0 in n 11.995 * [backup-simplify]: Simplify 2.0 into 2.0 11.996 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 11.997 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 11.998 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 11.998 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 11.998 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 11.998 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 11.998 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 11.999 * [taylor]: Taking taylor expansion of 1.0 in n 11.999 * [backup-simplify]: Simplify 1.0 into 1.0 11.999 * [taylor]: Taking taylor expansion of (log PI) in n 11.999 * [taylor]: Taking taylor expansion of PI in n 11.999 * [backup-simplify]: Simplify PI into PI 11.999 * [backup-simplify]: Simplify (log PI) into (log PI) 12.000 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 12.002 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 12.002 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 12.002 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 12.002 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 12.002 * [taylor]: Taking taylor expansion of 1.0 in n 12.002 * [backup-simplify]: Simplify 1.0 into 1.0 12.002 * [taylor]: Taking taylor expansion of (log n) in n 12.002 * [taylor]: Taking taylor expansion of n in n 12.002 * [backup-simplify]: Simplify 0 into 0 12.002 * [backup-simplify]: Simplify 1 into 1 12.002 * [backup-simplify]: Simplify (log 1) into 0 12.003 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 12.003 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 12.003 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 12.004 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 12.005 * [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) 12.006 * [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)) 12.007 * [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))) 12.009 * [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) 12.009 * [taylor]: Taking taylor expansion of (log n) in n 12.009 * [taylor]: Taking taylor expansion of n in n 12.009 * [backup-simplify]: Simplify 0 into 0 12.009 * [backup-simplify]: Simplify 1 into 1 12.009 * [backup-simplify]: Simplify (log 1) into 0 12.012 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (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 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 12.014 * [backup-simplify]: Simplify (* +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 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 12.016 * [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)) 12.016 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 12.018 * [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 n)) into (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n)) 12.019 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n))) into (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 12.021 * [backup-simplify]: Simplify (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) into (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) 12.024 * [backup-simplify]: Simplify (+ (* +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))))) 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)))))) 12.027 * [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))))))) into (- (+ (* +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)))))) 12.033 * [backup-simplify]: Simplify (+ (* +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 (* (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))))))) 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 (* (log n) (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))))))) 12.039 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (log (* 2.0 PI)) (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))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 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 (* 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)))))))) 12.046 * [backup-simplify]: Simplify (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 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 (* (log n) (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))))))) 12.047 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 12.048 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 12.050 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 12.051 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 12.052 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 12.052 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 12.053 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 12.054 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 12.055 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 12.056 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 12.058 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 12.059 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0 12.061 * [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 12.063 * [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 12.065 * [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 12.066 * [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 12.066 * [backup-simplify]: Simplify (- 0) into 0 12.066 * [backup-simplify]: Simplify 0 into 0 12.066 * [backup-simplify]: Simplify 0 into 0 12.067 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 12.070 * [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 12.071 * [backup-simplify]: Simplify (- 0) into 0 12.071 * [backup-simplify]: Simplify (+ 0 0) into 0 12.072 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 12.073 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* (- 0.25) 0) (+ (* 0 0) (* 0 (log (* 2.0 PI)))))) into 0 12.083 * [backup-simplify]: Simplify (* (exp (* 0.25 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.25 (log (* 2.0 PI)))) 3) 6)) (* (/ (pow (- (* 0.25 (log (* 2.0 PI)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.0026041666666666665 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25))) 12.146 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 PI) 0.25) (* -0.0026041666666666665 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25)))) (+ (* (* -0.25 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25))) (* 0.03125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25)))) (+ (* (* 0.03125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25))) (* -0.25 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25)))) (* (* -0.0026041666666666665 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25))) (pow (* 2.0 PI) 0.25))))) into (- (* 0.020833333333333332 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) 12.148 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0 12.148 * [backup-simplify]: Simplify (- 0) into 0 12.149 * [backup-simplify]: Simplify (+ 0 0) into 0 12.149 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 12.150 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log n))))) into 0 12.151 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 3) 6)) (* (/ (pow (- (* 0.5 (log n))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (pow n 1.0) 0.5) (pow (log n) 3))) 12.177 * [backup-simplify]: Simplify (+ (* (pow n 0.5) (- (* 0.020833333333333332 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) (+ (* (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (+ (* (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) (- (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) (* (* -0.020833333333333332 (* (pow (pow n 1.0) 0.5) (pow (log n) 3))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) into (- (+ (* 0.0625 (* (* (log (* 2.0 PI)) (pow (log n) 2)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (+ (* 0.0625 (* (* (pow (log (* 2.0 PI)) 2) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (+ (* 0.020833333333333332 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 3))) (* 0.020833333333333332 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))) 12.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.182 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.209 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 0.0625 (* (* (log (* 2.0 PI)) (pow (log n) 2)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (+ (* 0.0625 (* (* (pow (log (* 2.0 PI)) 2) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (+ (* 0.020833333333333332 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 3))) (* 0.020833333333333332 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) (+ (* +nan.0 (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))) (+ (* +nan.0 (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)))))) (* +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)) (- (+ (* +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 PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +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 (* 2.0 PI)) (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) (pow (log n) 2)))))))))))))) 12.228 * [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 (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 PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +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 (* 2.0 PI)) (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) (pow (log n) 2))))))))))))))) (+ (* 0 (- (+ (* +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 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))))))))) (+ (* 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 (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 PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 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 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))))))))) 12.228 * [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 (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 PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 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 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))))))))) in n 12.228 * [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 (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 PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 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 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))))))))))) in n 12.228 * [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 12.228 * [taylor]: Taking taylor expansion of +nan.0 in n 12.228 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.228 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 12.228 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 12.228 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 12.228 * [taylor]: Taking taylor expansion of 0.5 in n 12.228 * [backup-simplify]: Simplify 0.5 into 0.5 12.228 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 12.228 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 12.228 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 12.228 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 12.228 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 12.228 * [taylor]: Taking taylor expansion of 1.0 in n 12.228 * [backup-simplify]: Simplify 1.0 into 1.0 12.228 * [taylor]: Taking taylor expansion of (log 2.0) in n 12.228 * [taylor]: Taking taylor expansion of 2.0 in n 12.228 * [backup-simplify]: Simplify 2.0 into 2.0 12.229 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 12.229 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 12.230 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 12.230 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 12.230 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 12.230 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 12.230 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 12.230 * [taylor]: Taking taylor expansion of 1.0 in n 12.230 * [backup-simplify]: Simplify 1.0 into 1.0 12.230 * [taylor]: Taking taylor expansion of (log n) in n 12.230 * [taylor]: Taking taylor expansion of n in n 12.230 * [backup-simplify]: Simplify 0 into 0 12.230 * [backup-simplify]: Simplify 1 into 1 12.231 * [backup-simplify]: Simplify (log 1) into 0 12.231 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 12.231 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 12.231 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 12.231 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 12.231 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 12.231 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 12.231 * [taylor]: Taking taylor expansion of 1.0 in n 12.231 * [backup-simplify]: Simplify 1.0 into 1.0 12.231 * [taylor]: Taking taylor expansion of (log PI) in n 12.231 * [taylor]: Taking taylor expansion of PI in n 12.231 * [backup-simplify]: Simplify PI into PI 12.231 * [backup-simplify]: Simplify (log PI) into (log PI) 12.232 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 12.233 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 12.233 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 12.234 * [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) 12.235 * [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)) 12.236 * [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))) 12.237 * [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) 12.237 * [taylor]: Taking taylor expansion of (- (+ (* +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 PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 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 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))))))) in n 12.237 * [taylor]: Taking taylor expansion of (+ (* +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 PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 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 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))))))))) in n 12.237 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 12.237 * [taylor]: Taking taylor expansion of +nan.0 in n 12.237 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.237 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 12.237 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 PI)) 2) in n 12.237 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 12.237 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 12.237 * [taylor]: Taking taylor expansion of 2.0 in n 12.237 * [backup-simplify]: Simplify 2.0 into 2.0 12.237 * [taylor]: Taking taylor expansion of PI in n 12.237 * [backup-simplify]: Simplify PI into PI 12.237 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.238 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.238 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 12.238 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 12.238 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 12.238 * [taylor]: Taking taylor expansion of 0.5 in n 12.238 * [backup-simplify]: Simplify 0.5 into 0.5 12.238 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 12.238 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 12.238 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 12.238 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 12.238 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 12.238 * [taylor]: Taking taylor expansion of 1.0 in n 12.238 * [backup-simplify]: Simplify 1.0 into 1.0 12.238 * [taylor]: Taking taylor expansion of (log PI) in n 12.238 * [taylor]: Taking taylor expansion of PI in n 12.238 * [backup-simplify]: Simplify PI into PI 12.239 * [backup-simplify]: Simplify (log PI) into (log PI) 12.239 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 12.240 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 12.240 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 12.240 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 12.240 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 12.240 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 12.240 * [taylor]: Taking taylor expansion of 1.0 in n 12.240 * [backup-simplify]: Simplify 1.0 into 1.0 12.240 * [taylor]: Taking taylor expansion of (log n) in n 12.240 * [taylor]: Taking taylor expansion of n in n 12.240 * [backup-simplify]: Simplify 0 into 0 12.240 * [backup-simplify]: Simplify 1 into 1 12.240 * [backup-simplify]: Simplify (log 1) into 0 12.241 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 12.241 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 12.241 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 12.241 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 12.241 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 12.241 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 12.241 * [taylor]: Taking taylor expansion of 1.0 in n 12.241 * [backup-simplify]: Simplify 1.0 into 1.0 12.241 * [taylor]: Taking taylor expansion of (log 2.0) in n 12.241 * [taylor]: Taking taylor expansion of 2.0 in n 12.241 * [backup-simplify]: Simplify 2.0 into 2.0 12.242 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 12.243 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 12.244 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 12.245 * [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) 12.246 * [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) 12.248 * [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)) 12.249 * [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))) 12.251 * [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) 12.251 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 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 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))))) in n 12.251 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 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 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))))))) in n 12.251 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) in n 12.251 * [taylor]: Taking taylor expansion of +nan.0 in n 12.251 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.251 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)) in n 12.251 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 12.251 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 12.251 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 12.251 * [taylor]: Taking taylor expansion of 0.5 in n 12.251 * [backup-simplify]: Simplify 0.5 into 0.5 12.251 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 12.251 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 12.251 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 12.251 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 12.251 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 12.251 * [taylor]: Taking taylor expansion of 1.0 in n 12.251 * [backup-simplify]: Simplify 1.0 into 1.0 12.251 * [taylor]: Taking taylor expansion of (log 2.0) in n 12.251 * [taylor]: Taking taylor expansion of 2.0 in n 12.251 * [backup-simplify]: Simplify 2.0 into 2.0 12.252 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 12.253 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 12.254 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 12.254 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 12.254 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 12.254 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 12.254 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 12.254 * [taylor]: Taking taylor expansion of 1.0 in n 12.255 * [backup-simplify]: Simplify 1.0 into 1.0 12.255 * [taylor]: Taking taylor expansion of (log PI) in n 12.255 * [taylor]: Taking taylor expansion of PI in n 12.255 * [backup-simplify]: Simplify PI into PI 12.255 * [backup-simplify]: Simplify (log PI) into (log PI) 12.256 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 12.258 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 12.258 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 12.258 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 12.258 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 12.258 * [taylor]: Taking taylor expansion of 1.0 in n 12.258 * [backup-simplify]: Simplify 1.0 into 1.0 12.258 * [taylor]: Taking taylor expansion of (log n) in n 12.258 * [taylor]: Taking taylor expansion of n in n 12.258 * [backup-simplify]: Simplify 0 into 0 12.258 * [backup-simplify]: Simplify 1 into 1 12.258 * [backup-simplify]: Simplify (log 1) into 0 12.259 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 12.259 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 12.259 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 12.260 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 12.261 * [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) 12.262 * [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)) 12.264 * [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))) 12.265 * [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) 12.265 * [taylor]: Taking taylor expansion of (log n) in n 12.265 * [taylor]: Taking taylor expansion of n in n 12.265 * [backup-simplify]: Simplify 0 into 0 12.265 * [backup-simplify]: Simplify 1 into 1 12.266 * [backup-simplify]: Simplify (log 1) into 0 12.266 * [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 n) 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 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))) in n 12.266 * [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 n) 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 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))))) in n 12.266 * [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 n) 2))) in n 12.266 * [taylor]: Taking taylor expansion of +nan.0 in n 12.266 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.266 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2)) in n 12.266 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 12.266 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 12.266 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 12.266 * [taylor]: Taking taylor expansion of 0.5 in n 12.266 * [backup-simplify]: Simplify 0.5 into 0.5 12.266 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 12.266 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 12.266 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 12.266 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 12.266 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 12.266 * [taylor]: Taking taylor expansion of 1.0 in n 12.266 * [backup-simplify]: Simplify 1.0 into 1.0 12.266 * [taylor]: Taking taylor expansion of (log 2.0) in n 12.266 * [taylor]: Taking taylor expansion of 2.0 in n 12.266 * [backup-simplify]: Simplify 2.0 into 2.0 12.267 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 12.268 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 12.269 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 12.269 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 12.269 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 12.269 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 12.270 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 12.270 * [taylor]: Taking taylor expansion of 1.0 in n 12.270 * [backup-simplify]: Simplify 1.0 into 1.0 12.270 * [taylor]: Taking taylor expansion of (log PI) in n 12.270 * [taylor]: Taking taylor expansion of PI in n 12.270 * [backup-simplify]: Simplify PI into PI 12.270 * [backup-simplify]: Simplify (log PI) into (log PI) 12.271 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 12.273 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 12.273 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 12.273 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 12.273 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 12.273 * [taylor]: Taking taylor expansion of 1.0 in n 12.273 * [backup-simplify]: Simplify 1.0 into 1.0 12.273 * [taylor]: Taking taylor expansion of (log n) in n 12.273 * [taylor]: Taking taylor expansion of n in n 12.273 * [backup-simplify]: Simplify 0 into 0 12.273 * [backup-simplify]: Simplify 1 into 1 12.273 * [backup-simplify]: Simplify (log 1) into 0 12.274 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 12.274 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 12.274 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 12.275 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 12.276 * [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) 12.277 * [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)) 12.279 * [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))) 12.280 * [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) 12.280 * [taylor]: Taking taylor expansion of (pow (log n) 2) in n 12.280 * [taylor]: Taking taylor expansion of (log n) in n 12.280 * [taylor]: Taking taylor expansion of n in n 12.280 * [backup-simplify]: Simplify 0 into 0 12.280 * [backup-simplify]: Simplify 1 into 1 12.281 * [backup-simplify]: Simplify (log 1) into 0 12.281 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 12.281 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (log (* 2.0 PI)) (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)))))) in n 12.281 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (log (* 2.0 PI)) (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))))) in n 12.281 * [taylor]: Taking taylor expansion of (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 12.281 * [taylor]: Taking taylor expansion of +nan.0 in n 12.282 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.282 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 12.282 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 12.282 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 12.282 * [taylor]: Taking taylor expansion of 2.0 in n 12.282 * [backup-simplify]: Simplify 2.0 into 2.0 12.282 * [taylor]: Taking taylor expansion of PI in n 12.282 * [backup-simplify]: Simplify PI into PI 12.282 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.283 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.283 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 12.283 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 12.283 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 12.283 * [taylor]: Taking taylor expansion of 0.5 in n 12.283 * [backup-simplify]: Simplify 0.5 into 0.5 12.283 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 12.284 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 12.284 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 12.284 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 12.284 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 12.284 * [taylor]: Taking taylor expansion of 1.0 in n 12.284 * [backup-simplify]: Simplify 1.0 into 1.0 12.284 * [taylor]: Taking taylor expansion of (log PI) in n 12.284 * [taylor]: Taking taylor expansion of PI in n 12.284 * [backup-simplify]: Simplify PI into PI 12.284 * [backup-simplify]: Simplify (log PI) into (log PI) 12.285 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 12.287 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 12.287 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 12.287 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 12.287 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 12.287 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 12.287 * [taylor]: Taking taylor expansion of 1.0 in n 12.287 * [backup-simplify]: Simplify 1.0 into 1.0 12.287 * [taylor]: Taking taylor expansion of (log n) in n 12.287 * [taylor]: Taking taylor expansion of n in n 12.287 * [backup-simplify]: Simplify 0 into 0 12.287 * [backup-simplify]: Simplify 1 into 1 12.288 * [backup-simplify]: Simplify (log 1) into 0 12.288 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 12.288 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 12.288 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 12.288 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 12.288 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 12.288 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 12.289 * [taylor]: Taking taylor expansion of 1.0 in n 12.289 * [backup-simplify]: Simplify 1.0 into 1.0 12.289 * [taylor]: Taking taylor expansion of (log 2.0) in n 12.289 * [taylor]: Taking taylor expansion of 2.0 in n 12.289 * [backup-simplify]: Simplify 2.0 into 2.0 12.289 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 12.290 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 12.292 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 12.292 * [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) 12.294 * [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) 12.295 * [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)) 12.296 * [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))) 12.298 * [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) 12.298 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))) in n 12.298 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) in n 12.298 * [taylor]: Taking taylor expansion of +nan.0 in n 12.298 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.298 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)) in n 12.298 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (log n)) in n 12.298 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 12.298 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 12.298 * [taylor]: Taking taylor expansion of 2.0 in n 12.298 * [backup-simplify]: Simplify 2.0 into 2.0 12.298 * [taylor]: Taking taylor expansion of PI in n 12.298 * [backup-simplify]: Simplify PI into PI 12.299 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.300 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.300 * [taylor]: Taking taylor expansion of (log n) in n 12.300 * [taylor]: Taking taylor expansion of n in n 12.300 * [backup-simplify]: Simplify 0 into 0 12.301 * [backup-simplify]: Simplify 1 into 1 12.301 * [backup-simplify]: Simplify (log 1) into 0 12.301 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) in n 12.301 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))))) in n 12.301 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))))) in n 12.301 * [taylor]: Taking taylor expansion of 0.5 in n 12.301 * [backup-simplify]: Simplify 0.5 into 0.5 12.301 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) in n 12.301 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) in n 12.301 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 12.301 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 12.301 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 12.301 * [taylor]: Taking taylor expansion of 1.0 in n 12.301 * [backup-simplify]: Simplify 1.0 into 1.0 12.301 * [taylor]: Taking taylor expansion of (log PI) in n 12.301 * [taylor]: Taking taylor expansion of PI in n 12.301 * [backup-simplify]: Simplify PI into PI 12.302 * [backup-simplify]: Simplify (log PI) into (log PI) 12.303 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 12.305 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 12.305 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow n 1.0)) in n 12.305 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 12.305 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 12.305 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 12.305 * [taylor]: Taking taylor expansion of 1.0 in n 12.305 * [backup-simplify]: Simplify 1.0 into 1.0 12.305 * [taylor]: Taking taylor expansion of (log 2.0) in n 12.305 * [taylor]: Taking taylor expansion of 2.0 in n 12.305 * [backup-simplify]: Simplify 2.0 into 2.0 12.305 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 12.307 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 12.308 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 12.308 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 12.308 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 12.308 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 12.308 * [taylor]: Taking taylor expansion of 1.0 in n 12.308 * [backup-simplify]: Simplify 1.0 into 1.0 12.308 * [taylor]: Taking taylor expansion of (log n) in n 12.308 * [taylor]: Taking taylor expansion of n in n 12.309 * [backup-simplify]: Simplify 0 into 0 12.309 * [backup-simplify]: Simplify 1 into 1 12.309 * [backup-simplify]: Simplify (log 1) into 0 12.309 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 12.309 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 12.310 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 12.310 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 12.312 * [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) 12.313 * [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)) 12.314 * [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))) 12.316 * [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) 12.318 * [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)) 12.320 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (log (* 2.0 PI))) into (pow (log (* 2.0 PI)) 2) 12.324 * [backup-simplify]: Simplify (* (pow (log (* 2.0 PI)) 2) (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 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 12.327 * [backup-simplify]: Simplify (* +nan.0 (* (pow (log (* 2.0 PI)) 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))) 12.328 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 12.329 * [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 n)) into (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n)) 12.331 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n))) into (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 12.331 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 12.332 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 12.332 * [backup-simplify]: Simplify (* (log n) (log n)) into (pow (log n) 2) 12.334 * [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 n) 2)) into (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2)) 12.335 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2))) into (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 12.338 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (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 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 12.340 * [backup-simplify]: Simplify (* +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 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 12.341 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 12.342 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (log n)) into (* (log (* 2.0 PI)) (log n)) 12.344 * [backup-simplify]: Simplify (* (* (log (* 2.0 PI)) (log n)) (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 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)) 12.347 * [backup-simplify]: Simplify (* +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 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) 12.349 * [backup-simplify]: Simplify (- (* +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 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))) 12.354 * [backup-simplify]: Simplify (+ (* +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 (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 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 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))) 12.360 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (log (* 2.0 PI)) (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 (* (log (* 2.0 PI)) (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)))))) 12.367 * [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 (* 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 (* (* (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 (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 12.376 * [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)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 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 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))) 12.390 * [backup-simplify]: Simplify (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 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 (* (log (* 2.0 PI)) (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))))))))) 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)) (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)))))))))) 12.401 * [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)) (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 (* (log n) (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)))))))))) 12.415 * [backup-simplify]: Simplify (+ (* +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 (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 (* (* (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 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))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (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)))))))))))) 12.432 * [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 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))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (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)) (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)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))))))) 12.448 * [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)) (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)) (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 (* (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 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))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))))))))) 12.464 * [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 (* (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 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))) (- (* +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)) (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 (* (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)))))))))))))) 12.473 * [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 (* (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 (* (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)))))))))))))) 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 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 n) (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)))))))))))))) 12.489 * [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 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 n) (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)))))))))))))) (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 (* (log n) (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))))))) (* 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)) (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 k 2) (log (* 2.0 PI))) (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 (* (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)))))))))))))))))))))) 12.490 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 k))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 (/ 1 k)) 2.0) 2)) (* (pow (* 2.0 PI) (/ (/ (- 1.0 (/ 1 k)) 2.0) 2)) (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0))))) into (* 1.0 (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2)))) 12.490 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2)))) in (k n) around 0 12.490 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2)))) in n 12.490 * [taylor]: Taking taylor expansion of 1.0 in n 12.491 * [backup-simplify]: Simplify 1.0 into 1.0 12.491 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2))) in n 12.491 * [taylor]: Taking taylor expansion of (sqrt k) in n 12.491 * [taylor]: Taking taylor expansion of k in n 12.491 * [backup-simplify]: Simplify k into k 12.491 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 12.491 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 12.491 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2)) in n 12.491 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 12.491 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 12.491 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 12.491 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 12.491 * [taylor]: Taking taylor expansion of 0.5 in n 12.491 * [backup-simplify]: Simplify 0.5 into 0.5 12.491 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 12.491 * [taylor]: Taking taylor expansion of 1.0 in n 12.491 * [backup-simplify]: Simplify 1.0 into 1.0 12.491 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.491 * [taylor]: Taking taylor expansion of k in n 12.491 * [backup-simplify]: Simplify k into k 12.491 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.491 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 12.491 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.491 * [taylor]: Taking taylor expansion of n in n 12.491 * [backup-simplify]: Simplify 0 into 0 12.491 * [backup-simplify]: Simplify 1 into 1 12.491 * [backup-simplify]: Simplify (/ 1 1) into 1 12.492 * [backup-simplify]: Simplify (log 1) into 0 12.492 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 12.492 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 12.492 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 12.492 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 12.492 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 12.492 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 12.492 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2) in n 12.492 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) in n 12.492 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in n 12.492 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in n 12.492 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 12.492 * [taylor]: Taking taylor expansion of 0.25 in n 12.492 * [backup-simplify]: Simplify 0.25 into 0.25 12.492 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 12.492 * [taylor]: Taking taylor expansion of 1.0 in n 12.492 * [backup-simplify]: Simplify 1.0 into 1.0 12.492 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.492 * [taylor]: Taking taylor expansion of k in n 12.492 * [backup-simplify]: Simplify k into k 12.493 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.493 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 12.493 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 12.493 * [taylor]: Taking taylor expansion of 2.0 in n 12.493 * [backup-simplify]: Simplify 2.0 into 2.0 12.493 * [taylor]: Taking taylor expansion of PI in n 12.493 * [backup-simplify]: Simplify PI into PI 12.493 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.494 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.494 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 12.494 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 12.494 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 12.494 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) into (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) 12.495 * [backup-simplify]: Simplify (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 12.495 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2)))) in k 12.495 * [taylor]: Taking taylor expansion of 1.0 in k 12.495 * [backup-simplify]: Simplify 1.0 into 1.0 12.495 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2))) in k 12.495 * [taylor]: Taking taylor expansion of (sqrt k) in k 12.495 * [taylor]: Taking taylor expansion of k in k 12.495 * [backup-simplify]: Simplify 0 into 0 12.495 * [backup-simplify]: Simplify 1 into 1 12.496 * [backup-simplify]: Simplify (sqrt 0) into 0 12.497 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.497 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2)) in k 12.497 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 12.497 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 12.497 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 12.497 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 12.497 * [taylor]: Taking taylor expansion of 0.5 in k 12.497 * [backup-simplify]: Simplify 0.5 into 0.5 12.497 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 12.497 * [taylor]: Taking taylor expansion of 1.0 in k 12.497 * [backup-simplify]: Simplify 1.0 into 1.0 12.497 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.497 * [taylor]: Taking taylor expansion of k in k 12.497 * [backup-simplify]: Simplify 0 into 0 12.497 * [backup-simplify]: Simplify 1 into 1 12.497 * [backup-simplify]: Simplify (/ 1 1) into 1 12.497 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 12.497 * [taylor]: Taking taylor expansion of (/ 1 n) in k 12.497 * [taylor]: Taking taylor expansion of n in k 12.497 * [backup-simplify]: Simplify n into n 12.497 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.497 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 12.498 * [backup-simplify]: Simplify (- 1) into -1 12.498 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.498 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 12.498 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 12.498 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 12.498 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2) in k 12.498 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) in k 12.498 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 12.498 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 12.498 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 12.498 * [taylor]: Taking taylor expansion of 0.25 in k 12.498 * [backup-simplify]: Simplify 0.25 into 0.25 12.499 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 12.499 * [taylor]: Taking taylor expansion of 1.0 in k 12.499 * [backup-simplify]: Simplify 1.0 into 1.0 12.499 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.499 * [taylor]: Taking taylor expansion of k in k 12.499 * [backup-simplify]: Simplify 0 into 0 12.499 * [backup-simplify]: Simplify 1 into 1 12.499 * [backup-simplify]: Simplify (/ 1 1) into 1 12.499 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 12.499 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 12.499 * [taylor]: Taking taylor expansion of 2.0 in k 12.499 * [backup-simplify]: Simplify 2.0 into 2.0 12.499 * [taylor]: Taking taylor expansion of PI in k 12.499 * [backup-simplify]: Simplify PI into PI 12.499 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.500 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.500 * [backup-simplify]: Simplify (- 1) into -1 12.500 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.501 * [backup-simplify]: Simplify (* 0.25 -1) into -0.25 12.502 * [backup-simplify]: Simplify (* -0.25 (log (* 2.0 PI))) into (* -0.25 (log (* 2.0 PI))) 12.506 * [backup-simplify]: Simplify (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 12.506 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2)))) in k 12.506 * [taylor]: Taking taylor expansion of 1.0 in k 12.506 * [backup-simplify]: Simplify 1.0 into 1.0 12.507 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2))) in k 12.507 * [taylor]: Taking taylor expansion of (sqrt k) in k 12.507 * [taylor]: Taking taylor expansion of k in k 12.507 * [backup-simplify]: Simplify 0 into 0 12.507 * [backup-simplify]: Simplify 1 into 1 12.507 * [backup-simplify]: Simplify (sqrt 0) into 0 12.509 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.509 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2)) in k 12.509 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 12.509 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 12.509 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 12.509 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 12.509 * [taylor]: Taking taylor expansion of 0.5 in k 12.509 * [backup-simplify]: Simplify 0.5 into 0.5 12.509 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 12.509 * [taylor]: Taking taylor expansion of 1.0 in k 12.509 * [backup-simplify]: Simplify 1.0 into 1.0 12.509 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.509 * [taylor]: Taking taylor expansion of k in k 12.509 * [backup-simplify]: Simplify 0 into 0 12.509 * [backup-simplify]: Simplify 1 into 1 12.509 * [backup-simplify]: Simplify (/ 1 1) into 1 12.509 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 12.509 * [taylor]: Taking taylor expansion of (/ 1 n) in k 12.509 * [taylor]: Taking taylor expansion of n in k 12.510 * [backup-simplify]: Simplify n into n 12.510 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.510 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 12.510 * [backup-simplify]: Simplify (- 1) into -1 12.511 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.511 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 12.511 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 12.511 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 12.511 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2) in k 12.511 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) in k 12.512 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 12.512 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 12.512 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 12.512 * [taylor]: Taking taylor expansion of 0.25 in k 12.512 * [backup-simplify]: Simplify 0.25 into 0.25 12.512 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 12.512 * [taylor]: Taking taylor expansion of 1.0 in k 12.512 * [backup-simplify]: Simplify 1.0 into 1.0 12.512 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.512 * [taylor]: Taking taylor expansion of k in k 12.512 * [backup-simplify]: Simplify 0 into 0 12.512 * [backup-simplify]: Simplify 1 into 1 12.512 * [backup-simplify]: Simplify (/ 1 1) into 1 12.512 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 12.512 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 12.512 * [taylor]: Taking taylor expansion of 2.0 in k 12.512 * [backup-simplify]: Simplify 2.0 into 2.0 12.512 * [taylor]: Taking taylor expansion of PI in k 12.513 * [backup-simplify]: Simplify PI into PI 12.513 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.514 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.515 * [backup-simplify]: Simplify (- 1) into -1 12.515 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.515 * [backup-simplify]: Simplify (* 0.25 -1) into -0.25 12.517 * [backup-simplify]: Simplify (* -0.25 (log (* 2.0 PI))) into (* -0.25 (log (* 2.0 PI))) 12.518 * [backup-simplify]: Simplify (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 12.521 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2) 12.523 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) into (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) 12.524 * [backup-simplify]: Simplify (* 0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))) into 0 12.525 * [backup-simplify]: Simplify (* 1.0 0) into 0 12.525 * [taylor]: Taking taylor expansion of 0 in n 12.525 * [backup-simplify]: Simplify 0 into 0 12.525 * [backup-simplify]: Simplify 0 into 0 12.528 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into 0 12.530 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 0) (* 0 (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))) into 0 12.532 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) into (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) 12.534 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))))) (* 0 0)) into (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) 12.534 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) in n 12.534 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))) in n 12.534 * [taylor]: Taking taylor expansion of +nan.0 in n 12.534 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.534 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) in n 12.534 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 12.534 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 12.534 * [taylor]: Taking taylor expansion of 0.5 in n 12.534 * [backup-simplify]: Simplify 0.5 into 0.5 12.535 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 12.535 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 12.535 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.535 * [taylor]: Taking taylor expansion of n in n 12.535 * [backup-simplify]: Simplify 0 into 0 12.535 * [backup-simplify]: Simplify 1 into 1 12.535 * [backup-simplify]: Simplify (/ 1 1) into 1 12.535 * [backup-simplify]: Simplify (log 1) into 0 12.535 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 12.536 * [taylor]: Taking taylor expansion of 1.0 in n 12.536 * [backup-simplify]: Simplify 1.0 into 1.0 12.536 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.536 * [taylor]: Taking taylor expansion of k in n 12.536 * [backup-simplify]: Simplify k into k 12.536 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.536 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 12.536 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 12.536 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 12.537 * [backup-simplify]: Simplify (* (- (log n)) (- 1.0 (/ 1 k))) into (* -1 (* (log n) (- 1.0 (/ 1 k)))) 12.537 * [backup-simplify]: Simplify (* 0.5 (* -1 (* (log n) (- 1.0 (/ 1 k))))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 12.537 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 12.537 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2) in n 12.537 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 12.537 * [taylor]: Taking taylor expansion of (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 12.537 * [taylor]: Taking taylor expansion of 0.25 in n 12.537 * [backup-simplify]: Simplify 0.25 into 0.25 12.537 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 12.537 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 12.537 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 12.537 * [taylor]: Taking taylor expansion of 2.0 in n 12.537 * [backup-simplify]: Simplify 2.0 into 2.0 12.537 * [taylor]: Taking taylor expansion of PI in n 12.538 * [backup-simplify]: Simplify PI into PI 12.538 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.539 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.539 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 12.539 * [taylor]: Taking taylor expansion of 1.0 in n 12.539 * [backup-simplify]: Simplify 1.0 into 1.0 12.539 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.539 * [taylor]: Taking taylor expansion of k in n 12.539 * [backup-simplify]: Simplify k into k 12.539 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.539 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 12.540 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 12.541 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) into (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) 12.542 * [backup-simplify]: Simplify (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) into (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) 12.543 * [backup-simplify]: Simplify (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 12.545 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2) 12.547 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) into (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) 12.549 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))) into (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))) 12.550 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) into (- (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) 12.552 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) into (- (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) 12.552 * [backup-simplify]: Simplify 0 into 0 12.555 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) into 0 12.557 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) into 0 12.560 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.562 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) 12.566 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))))) (* 0 0))) into (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) 12.566 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) in n 12.566 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))) in n 12.566 * [taylor]: Taking taylor expansion of +nan.0 in n 12.566 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.566 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) in n 12.566 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 12.566 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 12.566 * [taylor]: Taking taylor expansion of 0.5 in n 12.566 * [backup-simplify]: Simplify 0.5 into 0.5 12.566 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 12.566 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 12.566 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.566 * [taylor]: Taking taylor expansion of n in n 12.566 * [backup-simplify]: Simplify 0 into 0 12.567 * [backup-simplify]: Simplify 1 into 1 12.567 * [backup-simplify]: Simplify (/ 1 1) into 1 12.567 * [backup-simplify]: Simplify (log 1) into 0 12.567 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 12.567 * [taylor]: Taking taylor expansion of 1.0 in n 12.567 * [backup-simplify]: Simplify 1.0 into 1.0 12.567 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.568 * [taylor]: Taking taylor expansion of k in n 12.568 * [backup-simplify]: Simplify k into k 12.568 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.568 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 12.568 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 12.568 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 12.568 * [backup-simplify]: Simplify (* (- (log n)) (- 1.0 (/ 1 k))) into (* -1 (* (log n) (- 1.0 (/ 1 k)))) 12.569 * [backup-simplify]: Simplify (* 0.5 (* -1 (* (log n) (- 1.0 (/ 1 k))))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 12.569 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 12.569 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2) in n 12.569 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 12.569 * [taylor]: Taking taylor expansion of (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 12.569 * [taylor]: Taking taylor expansion of 0.25 in n 12.569 * [backup-simplify]: Simplify 0.25 into 0.25 12.569 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 12.569 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 12.569 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 12.569 * [taylor]: Taking taylor expansion of 2.0 in n 12.569 * [backup-simplify]: Simplify 2.0 into 2.0 12.569 * [taylor]: Taking taylor expansion of PI in n 12.569 * [backup-simplify]: Simplify PI into PI 12.570 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.571 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.571 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 12.571 * [taylor]: Taking taylor expansion of 1.0 in n 12.571 * [backup-simplify]: Simplify 1.0 into 1.0 12.571 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.571 * [taylor]: Taking taylor expansion of k in n 12.571 * [backup-simplify]: Simplify k into k 12.571 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.571 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 12.572 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 12.573 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) into (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) 12.574 * [backup-simplify]: Simplify (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) into (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) 12.575 * [backup-simplify]: Simplify (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 12.578 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2) 12.580 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) into (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) 12.581 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))) into (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))) 12.583 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) into (- (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) 12.585 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) into (- (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) 12.585 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 12.586 * [backup-simplify]: Simplify (- 0) into 0 12.586 * [backup-simplify]: Simplify (+ 0 0) into 0 12.587 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 12.589 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 12.590 * [backup-simplify]: Simplify (+ (* (log (* 2.0 PI)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 12.592 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into 0 12.594 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 12.597 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into 0 12.597 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 12.597 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 12.598 * [backup-simplify]: Simplify (- 0) into 0 12.598 * [backup-simplify]: Simplify (+ 0 0) into 0 12.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.600 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 12.600 * [backup-simplify]: Simplify (+ (* (- (log n)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 12.601 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* -1 (* (log n) (- 1.0 (/ 1 k)))))) into 0 12.602 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 12.604 * [backup-simplify]: Simplify (+ (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 0) (* 0 (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))) into 0 12.606 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) into 0 12.606 * [backup-simplify]: Simplify (- 0) into 0 12.606 * [backup-simplify]: Simplify 0 into 0 12.606 * [backup-simplify]: Simplify 0 into 0 12.609 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))))) into 0 12.612 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))))) into 0 12.616 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.619 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) 12.625 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))))) (* 0 0)))) into (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) 12.625 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) in n 12.625 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))) in n 12.625 * [taylor]: Taking taylor expansion of +nan.0 in n 12.625 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.625 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) in n 12.625 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 12.625 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 12.625 * [taylor]: Taking taylor expansion of 0.5 in n 12.625 * [backup-simplify]: Simplify 0.5 into 0.5 12.625 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 12.625 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 12.625 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.625 * [taylor]: Taking taylor expansion of n in n 12.625 * [backup-simplify]: Simplify 0 into 0 12.625 * [backup-simplify]: Simplify 1 into 1 12.626 * [backup-simplify]: Simplify (/ 1 1) into 1 12.626 * [backup-simplify]: Simplify (log 1) into 0 12.626 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 12.626 * [taylor]: Taking taylor expansion of 1.0 in n 12.626 * [backup-simplify]: Simplify 1.0 into 1.0 12.626 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.626 * [taylor]: Taking taylor expansion of k in n 12.626 * [backup-simplify]: Simplify k into k 12.626 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.627 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 12.627 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 12.627 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 12.627 * [backup-simplify]: Simplify (* (- (log n)) (- 1.0 (/ 1 k))) into (* -1 (* (log n) (- 1.0 (/ 1 k)))) 12.627 * [backup-simplify]: Simplify (* 0.5 (* -1 (* (log n) (- 1.0 (/ 1 k))))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 12.628 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 12.628 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2) in n 12.628 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 12.628 * [taylor]: Taking taylor expansion of (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 12.628 * [taylor]: Taking taylor expansion of 0.25 in n 12.628 * [backup-simplify]: Simplify 0.25 into 0.25 12.628 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 12.628 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 12.628 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 12.628 * [taylor]: Taking taylor expansion of 2.0 in n 12.628 * [backup-simplify]: Simplify 2.0 into 2.0 12.628 * [taylor]: Taking taylor expansion of PI in n 12.628 * [backup-simplify]: Simplify PI into PI 12.629 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.630 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.630 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 12.630 * [taylor]: Taking taylor expansion of 1.0 in n 12.630 * [backup-simplify]: Simplify 1.0 into 1.0 12.630 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.630 * [taylor]: Taking taylor expansion of k in n 12.630 * [backup-simplify]: Simplify k into k 12.630 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.630 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 12.630 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 12.631 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) into (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) 12.632 * [backup-simplify]: Simplify (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) into (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) 12.634 * [backup-simplify]: Simplify (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 12.636 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2) 12.638 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) into (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) 12.639 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))) into (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))) 12.641 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) into (- (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) 12.643 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) into (- (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) 12.649 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))) 2)))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (* (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))) 2)))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (* (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))) 2)))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (* (pow (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) 2) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (pow (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) 2) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))) (pow k 3))) (- (* +nan.0 (/ (* (pow (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) 2) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))) k))))))) 12.651 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 (- k)))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 (/ 1 (- k))) 2.0) 2)) (* (pow (* 2.0 PI) (/ (/ (- 1.0 (/ 1 (- k))) 2.0) 2)) (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0))))) into (* 1.0 (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2)) (sqrt (/ -1 k)))) 12.652 * [approximate]: Taking taylor expansion of (* 1.0 (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2)) (sqrt (/ -1 k)))) in (k n) around 0 12.652 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2)) (sqrt (/ -1 k)))) in n 12.652 * [taylor]: Taking taylor expansion of 1.0 in n 12.652 * [backup-simplify]: Simplify 1.0 into 1.0 12.652 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2)) (sqrt (/ -1 k))) in n 12.652 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2)) in n 12.652 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 12.652 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 12.652 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 12.652 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 12.652 * [taylor]: Taking taylor expansion of 0.5 in n 12.652 * [backup-simplify]: Simplify 0.5 into 0.5 12.652 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 12.652 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.652 * [taylor]: Taking taylor expansion of k in n 12.652 * [backup-simplify]: Simplify k into k 12.652 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.652 * [taylor]: Taking taylor expansion of 1.0 in n 12.652 * [backup-simplify]: Simplify 1.0 into 1.0 12.652 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 12.652 * [taylor]: Taking taylor expansion of (/ -1 n) in n 12.652 * [taylor]: Taking taylor expansion of -1 in n 12.652 * [backup-simplify]: Simplify -1 into -1 12.652 * [taylor]: Taking taylor expansion of n in n 12.652 * [backup-simplify]: Simplify 0 into 0 12.652 * [backup-simplify]: Simplify 1 into 1 12.653 * [backup-simplify]: Simplify (/ -1 1) into -1 12.653 * [backup-simplify]: Simplify (log -1) into (log -1) 12.653 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 12.654 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 12.654 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 12.655 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 12.656 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 12.656 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2) in n 12.656 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) in n 12.656 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in n 12.656 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in n 12.656 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 12.656 * [taylor]: Taking taylor expansion of 0.25 in n 12.656 * [backup-simplify]: Simplify 0.25 into 0.25 12.656 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 12.656 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.656 * [taylor]: Taking taylor expansion of k in n 12.656 * [backup-simplify]: Simplify k into k 12.656 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.656 * [taylor]: Taking taylor expansion of 1.0 in n 12.656 * [backup-simplify]: Simplify 1.0 into 1.0 12.656 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 12.656 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 12.656 * [taylor]: Taking taylor expansion of 2.0 in n 12.656 * [backup-simplify]: Simplify 2.0 into 2.0 12.656 * [taylor]: Taking taylor expansion of PI in n 12.656 * [backup-simplify]: Simplify PI into PI 12.657 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.658 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.658 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 12.658 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 12.659 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) into (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) 12.661 * [backup-simplify]: Simplify (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 12.661 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 12.661 * [taylor]: Taking taylor expansion of (/ -1 k) in n 12.661 * [taylor]: Taking taylor expansion of -1 in n 12.661 * [backup-simplify]: Simplify -1 into -1 12.661 * [taylor]: Taking taylor expansion of k in n 12.661 * [backup-simplify]: Simplify k into k 12.661 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 12.661 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 12.661 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 12.661 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 12.670 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) 12.671 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2)) into (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) 12.674 * [backup-simplify]: Simplify (/ (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) (sqrt (/ -1 k))) into (/ (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) (sqrt (/ -1 k))) 12.674 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2)) (sqrt (/ -1 k)))) in k 12.674 * [taylor]: Taking taylor expansion of 1.0 in k 12.674 * [backup-simplify]: Simplify 1.0 into 1.0 12.674 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2)) (sqrt (/ -1 k))) in k 12.674 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2)) in k 12.674 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 12.674 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 12.674 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 12.674 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 12.674 * [taylor]: Taking taylor expansion of 0.5 in k 12.674 * [backup-simplify]: Simplify 0.5 into 0.5 12.674 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 12.674 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.674 * [taylor]: Taking taylor expansion of k in k 12.674 * [backup-simplify]: Simplify 0 into 0 12.674 * [backup-simplify]: Simplify 1 into 1 12.675 * [backup-simplify]: Simplify (/ 1 1) into 1 12.675 * [taylor]: Taking taylor expansion of 1.0 in k 12.675 * [backup-simplify]: Simplify 1.0 into 1.0 12.675 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 12.675 * [taylor]: Taking taylor expansion of (/ -1 n) in k 12.675 * [taylor]: Taking taylor expansion of -1 in k 12.675 * [backup-simplify]: Simplify -1 into -1 12.675 * [taylor]: Taking taylor expansion of n in k 12.675 * [backup-simplify]: Simplify n into n 12.675 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 12.675 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 12.675 * [backup-simplify]: Simplify (+ 1 0) into 1 12.676 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 12.676 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 12.676 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 12.676 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2) in k 12.677 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) in k 12.677 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 12.677 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 12.677 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 12.677 * [taylor]: Taking taylor expansion of 0.25 in k 12.677 * [backup-simplify]: Simplify 0.25 into 0.25 12.677 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 12.677 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.677 * [taylor]: Taking taylor expansion of k in k 12.677 * [backup-simplify]: Simplify 0 into 0 12.677 * [backup-simplify]: Simplify 1 into 1 12.677 * [backup-simplify]: Simplify (/ 1 1) into 1 12.677 * [taylor]: Taking taylor expansion of 1.0 in k 12.678 * [backup-simplify]: Simplify 1.0 into 1.0 12.678 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 12.678 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 12.678 * [taylor]: Taking taylor expansion of 2.0 in k 12.678 * [backup-simplify]: Simplify 2.0 into 2.0 12.678 * [taylor]: Taking taylor expansion of PI in k 12.678 * [backup-simplify]: Simplify PI into PI 12.678 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.679 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.680 * [backup-simplify]: Simplify (+ 1 0) into 1 12.680 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 12.682 * [backup-simplify]: Simplify (* 0.25 (log (* 2.0 PI))) into (* 0.25 (log (* 2.0 PI))) 12.683 * [backup-simplify]: Simplify (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 12.683 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 12.684 * [taylor]: Taking taylor expansion of (/ -1 k) in k 12.684 * [taylor]: Taking taylor expansion of -1 in k 12.684 * [backup-simplify]: Simplify -1 into -1 12.684 * [taylor]: Taking taylor expansion of k in k 12.684 * [backup-simplify]: Simplify 0 into 0 12.684 * [backup-simplify]: Simplify 1 into 1 12.684 * [backup-simplify]: Simplify (/ -1 1) into -1 12.685 * [backup-simplify]: Simplify (sqrt 0) into 0 12.686 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 12.689 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) 12.690 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2)) into (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))) 12.692 * [backup-simplify]: Simplify (/ (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))) +nan.0) into (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))))) 12.692 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2)) (sqrt (/ -1 k)))) in k 12.692 * [taylor]: Taking taylor expansion of 1.0 in k 12.692 * [backup-simplify]: Simplify 1.0 into 1.0 12.692 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2)) (sqrt (/ -1 k))) in k 12.692 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2)) in k 12.692 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 12.692 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 12.692 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 12.692 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 12.692 * [taylor]: Taking taylor expansion of 0.5 in k 12.692 * [backup-simplify]: Simplify 0.5 into 0.5 12.692 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 12.692 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.692 * [taylor]: Taking taylor expansion of k in k 12.692 * [backup-simplify]: Simplify 0 into 0 12.692 * [backup-simplify]: Simplify 1 into 1 12.693 * [backup-simplify]: Simplify (/ 1 1) into 1 12.693 * [taylor]: Taking taylor expansion of 1.0 in k 12.693 * [backup-simplify]: Simplify 1.0 into 1.0 12.693 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 12.693 * [taylor]: Taking taylor expansion of (/ -1 n) in k 12.693 * [taylor]: Taking taylor expansion of -1 in k 12.693 * [backup-simplify]: Simplify -1 into -1 12.693 * [taylor]: Taking taylor expansion of n in k 12.693 * [backup-simplify]: Simplify n into n 12.693 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 12.693 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 12.694 * [backup-simplify]: Simplify (+ 1 0) into 1 12.694 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 12.694 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 12.694 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 12.695 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2) in k 12.695 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) in k 12.695 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 12.695 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 12.695 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 12.695 * [taylor]: Taking taylor expansion of 0.25 in k 12.695 * [backup-simplify]: Simplify 0.25 into 0.25 12.695 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 12.695 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.695 * [taylor]: Taking taylor expansion of k in k 12.695 * [backup-simplify]: Simplify 0 into 0 12.695 * [backup-simplify]: Simplify 1 into 1 12.695 * [backup-simplify]: Simplify (/ 1 1) into 1 12.695 * [taylor]: Taking taylor expansion of 1.0 in k 12.695 * [backup-simplify]: Simplify 1.0 into 1.0 12.695 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 12.695 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 12.695 * [taylor]: Taking taylor expansion of 2.0 in k 12.696 * [backup-simplify]: Simplify 2.0 into 2.0 12.696 * [taylor]: Taking taylor expansion of PI in k 12.696 * [backup-simplify]: Simplify PI into PI 12.696 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.697 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.698 * [backup-simplify]: Simplify (+ 1 0) into 1 12.698 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 12.700 * [backup-simplify]: Simplify (* 0.25 (log (* 2.0 PI))) into (* 0.25 (log (* 2.0 PI))) 12.702 * [backup-simplify]: Simplify (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 12.702 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 12.702 * [taylor]: Taking taylor expansion of (/ -1 k) in k 12.702 * [taylor]: Taking taylor expansion of -1 in k 12.702 * [backup-simplify]: Simplify -1 into -1 12.702 * [taylor]: Taking taylor expansion of k in k 12.702 * [backup-simplify]: Simplify 0 into 0 12.702 * [backup-simplify]: Simplify 1 into 1 12.702 * [backup-simplify]: Simplify (/ -1 1) into -1 12.703 * [backup-simplify]: Simplify (sqrt 0) into 0 12.705 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 12.707 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) 12.709 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2)) into (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))) 12.711 * [backup-simplify]: Simplify (/ (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))) +nan.0) into (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))))) 12.712 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))))) into (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))))) 12.712 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))))) in n 12.713 * [taylor]: Taking taylor expansion of +nan.0 in n 12.713 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.713 * [taylor]: Taking taylor expansion of (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))) in n 12.713 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) in n 12.713 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n 12.713 * [taylor]: Taking taylor expansion of (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n 12.713 * [taylor]: Taking taylor expansion of 0.25 in n 12.713 * [backup-simplify]: Simplify 0.25 into 0.25 12.713 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n 12.713 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 12.713 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 12.713 * [taylor]: Taking taylor expansion of 2.0 in n 12.713 * [backup-simplify]: Simplify 2.0 into 2.0 12.713 * [taylor]: Taking taylor expansion of PI in n 12.713 * [backup-simplify]: Simplify PI into PI 12.714 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.715 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.715 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 12.715 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.715 * [taylor]: Taking taylor expansion of k in n 12.715 * [backup-simplify]: Simplify k into k 12.715 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.715 * [taylor]: Taking taylor expansion of 1.0 in n 12.715 * [backup-simplify]: Simplify 1.0 into 1.0 12.715 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 12.716 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) into (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) 12.718 * [backup-simplify]: Simplify (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) into (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) 12.719 * [backup-simplify]: Simplify (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 12.719 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 12.719 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 12.719 * [taylor]: Taking taylor expansion of 0.5 in n 12.719 * [backup-simplify]: Simplify 0.5 into 0.5 12.719 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 12.719 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 12.719 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.719 * [taylor]: Taking taylor expansion of k in n 12.719 * [backup-simplify]: Simplify k into k 12.719 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.719 * [taylor]: Taking taylor expansion of 1.0 in n 12.719 * [backup-simplify]: Simplify 1.0 into 1.0 12.719 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 12.719 * [taylor]: Taking taylor expansion of (/ -1 n) in n 12.719 * [taylor]: Taking taylor expansion of -1 in n 12.719 * [backup-simplify]: Simplify -1 into -1 12.720 * [taylor]: Taking taylor expansion of n in n 12.720 * [backup-simplify]: Simplify 0 into 0 12.720 * [backup-simplify]: Simplify 1 into 1 12.720 * [backup-simplify]: Simplify (/ -1 1) into -1 12.720 * [backup-simplify]: Simplify (log -1) into (log -1) 12.721 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 12.721 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 12.722 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log -1) (log n))) into (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) 12.723 * [backup-simplify]: Simplify (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 12.723 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 12.726 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) 12.728 * [backup-simplify]: Simplify (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) into (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) 12.730 * [backup-simplify]: Simplify (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) into (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) 12.732 * [backup-simplify]: Simplify (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) into (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) 12.735 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into 0 12.736 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 0) (* 0 (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2))) into 0 12.737 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.740 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.742 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))))) 12.744 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))))))) (* 0 (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))))))) into (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))))) 12.744 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))))) in n 12.744 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))))) in n 12.744 * [taylor]: Taking taylor expansion of +nan.0 in n 12.744 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.744 * [taylor]: Taking taylor expansion of (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))) in n 12.744 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) in n 12.744 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n 12.744 * [taylor]: Taking taylor expansion of (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n 12.744 * [taylor]: Taking taylor expansion of 0.25 in n 12.745 * [backup-simplify]: Simplify 0.25 into 0.25 12.745 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n 12.745 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 12.745 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 12.745 * [taylor]: Taking taylor expansion of 2.0 in n 12.745 * [backup-simplify]: Simplify 2.0 into 2.0 12.745 * [taylor]: Taking taylor expansion of PI in n 12.745 * [backup-simplify]: Simplify PI into PI 12.745 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.746 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.746 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 12.746 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.746 * [taylor]: Taking taylor expansion of k in n 12.746 * [backup-simplify]: Simplify k into k 12.746 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.746 * [taylor]: Taking taylor expansion of 1.0 in n 12.746 * [backup-simplify]: Simplify 1.0 into 1.0 12.746 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 12.747 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) into (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) 12.747 * [backup-simplify]: Simplify (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) into (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) 12.748 * [backup-simplify]: Simplify (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 12.748 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 12.748 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 12.748 * [taylor]: Taking taylor expansion of 0.5 in n 12.748 * [backup-simplify]: Simplify 0.5 into 0.5 12.748 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 12.748 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 12.748 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.748 * [taylor]: Taking taylor expansion of k in n 12.748 * [backup-simplify]: Simplify k into k 12.748 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.748 * [taylor]: Taking taylor expansion of 1.0 in n 12.748 * [backup-simplify]: Simplify 1.0 into 1.0 12.748 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 12.748 * [taylor]: Taking taylor expansion of (/ -1 n) in n 12.748 * [taylor]: Taking taylor expansion of -1 in n 12.748 * [backup-simplify]: Simplify -1 into -1 12.748 * [taylor]: Taking taylor expansion of n in n 12.748 * [backup-simplify]: Simplify 0 into 0 12.748 * [backup-simplify]: Simplify 1 into 1 12.749 * [backup-simplify]: Simplify (/ -1 1) into -1 12.749 * [backup-simplify]: Simplify (log -1) into (log -1) 12.749 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 12.749 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 12.750 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log -1) (log n))) into (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) 12.750 * [backup-simplify]: Simplify (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 12.750 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 12.752 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) 12.753 * [backup-simplify]: Simplify (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) into (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) 12.754 * [backup-simplify]: Simplify (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) into (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) 12.755 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) 12.757 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) 12.757 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.758 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 12.758 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 12.758 * [backup-simplify]: Simplify (+ 0 0) into 0 12.759 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 12.759 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (- (log -1) (log n)))) into 0 12.760 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into 0 12.761 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 12.761 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 12.761 * [backup-simplify]: Simplify (+ 0 0) into 0 12.762 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 12.763 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 12.763 * [backup-simplify]: Simplify (+ (* (log (* 2.0 PI)) 0) (* 0 (+ (/ 1 k) 1.0))) into 0 12.764 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into 0 12.765 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 12.767 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into 0 12.768 * [backup-simplify]: Simplify (+ (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) 0) (* 0 (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) into 0 12.770 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) into 0 12.770 * [backup-simplify]: Simplify 0 into 0 12.773 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 0) (+ (* 0 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) into 0 12.775 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 0) (+ (* 0 0) (* 0 (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2)))) into 0 12.776 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.780 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.785 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))))) 12.790 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))))))) (+ (* 0 (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))))))) (* 0 (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))))))) into (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))))) 12.790 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))))) in n 12.790 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))))) in n 12.790 * [taylor]: Taking taylor expansion of +nan.0 in n 12.790 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.790 * [taylor]: Taking taylor expansion of (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))) in n 12.790 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) in n 12.790 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n 12.790 * [taylor]: Taking taylor expansion of (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n 12.790 * [taylor]: Taking taylor expansion of 0.25 in n 12.790 * [backup-simplify]: Simplify 0.25 into 0.25 12.791 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n 12.791 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 12.791 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 12.791 * [taylor]: Taking taylor expansion of 2.0 in n 12.791 * [backup-simplify]: Simplify 2.0 into 2.0 12.791 * [taylor]: Taking taylor expansion of PI in n 12.791 * [backup-simplify]: Simplify PI into PI 12.791 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.792 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.792 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 12.792 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.792 * [taylor]: Taking taylor expansion of k in n 12.792 * [backup-simplify]: Simplify k into k 12.792 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.792 * [taylor]: Taking taylor expansion of 1.0 in n 12.792 * [backup-simplify]: Simplify 1.0 into 1.0 12.793 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 12.794 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) into (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) 12.795 * [backup-simplify]: Simplify (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) into (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) 12.796 * [backup-simplify]: Simplify (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 12.796 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 12.796 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 12.796 * [taylor]: Taking taylor expansion of 0.5 in n 12.796 * [backup-simplify]: Simplify 0.5 into 0.5 12.796 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 12.796 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 12.796 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.796 * [taylor]: Taking taylor expansion of k in n 12.796 * [backup-simplify]: Simplify k into k 12.797 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.797 * [taylor]: Taking taylor expansion of 1.0 in n 12.797 * [backup-simplify]: Simplify 1.0 into 1.0 12.797 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 12.797 * [taylor]: Taking taylor expansion of (/ -1 n) in n 12.797 * [taylor]: Taking taylor expansion of -1 in n 12.797 * [backup-simplify]: Simplify -1 into -1 12.797 * [taylor]: Taking taylor expansion of n in n 12.797 * [backup-simplify]: Simplify 0 into 0 12.797 * [backup-simplify]: Simplify 1 into 1 12.797 * [backup-simplify]: Simplify (/ -1 1) into -1 12.798 * [backup-simplify]: Simplify (log -1) into (log -1) 12.798 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 12.799 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 12.799 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log -1) (log n))) into (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) 12.800 * [backup-simplify]: Simplify (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 12.800 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 12.803 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) 12.805 * [backup-simplify]: Simplify (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) into (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) 12.813 * [backup-simplify]: Simplify (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) into (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) 12.815 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) 12.817 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) 12.825 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))))))) into (- (+ (* +nan.0 (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (pow (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) 2))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (pow (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) 2)) k)) (- (* +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (pow (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) 2)) (pow k 2)))))))) 12.825 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 12.826 * [backup-simplify]: Simplify (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (- 1.0 k) 2.0)))) into (* (pow n (* 0.5 (- 1.0 k))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2)) 12.826 * [approximate]: Taking taylor expansion of (* (pow n (* 0.5 (- 1.0 k))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2)) in (k n) around 0 12.826 * [taylor]: Taking taylor expansion of (* (pow n (* 0.5 (- 1.0 k))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2)) in n 12.826 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 12.826 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 12.826 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 12.826 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 12.826 * [taylor]: Taking taylor expansion of 0.5 in n 12.826 * [backup-simplify]: Simplify 0.5 into 0.5 12.826 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 12.826 * [taylor]: Taking taylor expansion of 1.0 in n 12.826 * [backup-simplify]: Simplify 1.0 into 1.0 12.826 * [taylor]: Taking taylor expansion of k in n 12.826 * [backup-simplify]: Simplify k into k 12.826 * [taylor]: Taking taylor expansion of (log n) in n 12.826 * [taylor]: Taking taylor expansion of n in n 12.826 * [backup-simplify]: Simplify 0 into 0 12.826 * [backup-simplify]: Simplify 1 into 1 12.826 * [backup-simplify]: Simplify (log 1) into 0 12.827 * [backup-simplify]: Simplify (- k) into (- k) 12.827 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 12.827 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 12.827 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 12.827 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 12.827 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 12.827 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2) in n 12.827 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) in n 12.827 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI)))) in n 12.827 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI))) in n 12.827 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 12.827 * [taylor]: Taking taylor expansion of 0.25 in n 12.827 * [backup-simplify]: Simplify 0.25 into 0.25 12.827 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 12.827 * [taylor]: Taking taylor expansion of 1.0 in n 12.827 * [backup-simplify]: Simplify 1.0 into 1.0 12.827 * [taylor]: Taking taylor expansion of k in n 12.827 * [backup-simplify]: Simplify k into k 12.827 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 12.827 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 12.827 * [taylor]: Taking taylor expansion of 2.0 in n 12.827 * [backup-simplify]: Simplify 2.0 into 2.0 12.827 * [taylor]: Taking taylor expansion of PI in n 12.827 * [backup-simplify]: Simplify PI into PI 12.828 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.828 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.828 * [backup-simplify]: Simplify (- k) into (- k) 12.828 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 12.829 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 12.829 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI))) into (* 0.25 (* (- 1.0 k) (log (* 2.0 PI)))) 12.830 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) into (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) 12.830 * [taylor]: Taking taylor expansion of (* (pow n (* 0.5 (- 1.0 k))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2)) in k 12.830 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 12.830 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 12.830 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 12.830 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 12.830 * [taylor]: Taking taylor expansion of 0.5 in k 12.830 * [backup-simplify]: Simplify 0.5 into 0.5 12.830 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 12.830 * [taylor]: Taking taylor expansion of 1.0 in k 12.830 * [backup-simplify]: Simplify 1.0 into 1.0 12.830 * [taylor]: Taking taylor expansion of k in k 12.830 * [backup-simplify]: Simplify 0 into 0 12.830 * [backup-simplify]: Simplify 1 into 1 12.830 * [taylor]: Taking taylor expansion of (log n) in k 12.830 * [taylor]: Taking taylor expansion of n in k 12.830 * [backup-simplify]: Simplify n into n 12.831 * [backup-simplify]: Simplify (log n) into (log n) 12.831 * [backup-simplify]: Simplify (- 0) into 0 12.831 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 12.831 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 12.831 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 12.831 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 12.832 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2) in k 12.832 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) in k 12.832 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI)))) in k 12.832 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI))) in k 12.832 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 12.832 * [taylor]: Taking taylor expansion of 0.25 in k 12.832 * [backup-simplify]: Simplify 0.25 into 0.25 12.832 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 12.832 * [taylor]: Taking taylor expansion of 1.0 in k 12.832 * [backup-simplify]: Simplify 1.0 into 1.0 12.832 * [taylor]: Taking taylor expansion of k in k 12.832 * [backup-simplify]: Simplify 0 into 0 12.832 * [backup-simplify]: Simplify 1 into 1 12.832 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 12.832 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 12.832 * [taylor]: Taking taylor expansion of 2.0 in k 12.832 * [backup-simplify]: Simplify 2.0 into 2.0 12.832 * [taylor]: Taking taylor expansion of PI in k 12.832 * [backup-simplify]: Simplify PI into PI 12.832 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.833 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.833 * [backup-simplify]: Simplify (- 0) into 0 12.833 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 12.834 * [backup-simplify]: Simplify (* 0.25 1.0) into 0.25 12.835 * [backup-simplify]: Simplify (* 0.25 (log (* 2.0 PI))) into (* 0.25 (log (* 2.0 PI))) 12.836 * [backup-simplify]: Simplify (exp (* 0.25 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.25) 12.836 * [taylor]: Taking taylor expansion of (* (pow n (* 0.5 (- 1.0 k))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2)) in k 12.836 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 12.836 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 12.836 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 12.836 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 12.836 * [taylor]: Taking taylor expansion of 0.5 in k 12.836 * [backup-simplify]: Simplify 0.5 into 0.5 12.836 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 12.836 * [taylor]: Taking taylor expansion of 1.0 in k 12.836 * [backup-simplify]: Simplify 1.0 into 1.0 12.837 * [taylor]: Taking taylor expansion of k in k 12.837 * [backup-simplify]: Simplify 0 into 0 12.837 * [backup-simplify]: Simplify 1 into 1 12.837 * [taylor]: Taking taylor expansion of (log n) in k 12.837 * [taylor]: Taking taylor expansion of n in k 12.837 * [backup-simplify]: Simplify n into n 12.837 * [backup-simplify]: Simplify (log n) into (log n) 12.837 * [backup-simplify]: Simplify (- 0) into 0 12.837 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 12.837 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 12.837 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 12.838 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 12.838 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2) in k 12.838 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) in k 12.838 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI)))) in k 12.838 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI))) in k 12.838 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 12.838 * [taylor]: Taking taylor expansion of 0.25 in k 12.838 * [backup-simplify]: Simplify 0.25 into 0.25 12.838 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 12.838 * [taylor]: Taking taylor expansion of 1.0 in k 12.838 * [backup-simplify]: Simplify 1.0 into 1.0 12.838 * [taylor]: Taking taylor expansion of k in k 12.838 * [backup-simplify]: Simplify 0 into 0 12.838 * [backup-simplify]: Simplify 1 into 1 12.838 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 12.838 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 12.838 * [taylor]: Taking taylor expansion of 2.0 in k 12.838 * [backup-simplify]: Simplify 2.0 into 2.0 12.838 * [taylor]: Taking taylor expansion of PI in k 12.838 * [backup-simplify]: Simplify PI into PI 12.838 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.839 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.839 * [backup-simplify]: Simplify (- 0) into 0 12.839 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 12.840 * [backup-simplify]: Simplify (* 0.25 1.0) into 0.25 12.841 * [backup-simplify]: Simplify (* 0.25 (log (* 2.0 PI))) into (* 0.25 (log (* 2.0 PI))) 12.842 * [backup-simplify]: Simplify (exp (* 0.25 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.25) 12.844 * [backup-simplify]: Simplify (* (pow (* 2.0 PI) 0.25) (pow (* 2.0 PI) 0.25)) into (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) 12.846 * [backup-simplify]: Simplify (* (pow n 0.5) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) 12.846 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 12.846 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 12.846 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 12.846 * [taylor]: Taking taylor expansion of 0.5 in n 12.846 * [backup-simplify]: Simplify 0.5 into 0.5 12.846 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 12.846 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 12.846 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 12.846 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 12.846 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 12.846 * [taylor]: Taking taylor expansion of 1.0 in n 12.846 * [backup-simplify]: Simplify 1.0 into 1.0 12.846 * [taylor]: Taking taylor expansion of (log PI) in n 12.846 * [taylor]: Taking taylor expansion of PI in n 12.846 * [backup-simplify]: Simplify PI into PI 12.846 * [backup-simplify]: Simplify (log PI) into (log PI) 12.847 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 12.848 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 12.848 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 12.848 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 12.848 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 12.848 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 12.848 * [taylor]: Taking taylor expansion of 1.0 in n 12.848 * [backup-simplify]: Simplify 1.0 into 1.0 12.848 * [taylor]: Taking taylor expansion of (log n) in n 12.848 * [taylor]: Taking taylor expansion of n in n 12.848 * [backup-simplify]: Simplify 0 into 0 12.848 * [backup-simplify]: Simplify 1 into 1 12.848 * [backup-simplify]: Simplify (log 1) into 0 12.849 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 12.849 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 12.849 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 12.849 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 12.849 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 12.849 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 12.849 * [taylor]: Taking taylor expansion of 1.0 in n 12.849 * [backup-simplify]: Simplify 1.0 into 1.0 12.849 * [taylor]: Taking taylor expansion of (log 2.0) in n 12.849 * [taylor]: Taking taylor expansion of 2.0 in n 12.849 * [backup-simplify]: Simplify 2.0 into 2.0 12.849 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 12.850 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 12.851 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 12.851 * [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) 12.852 * [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) 12.853 * [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)) 12.854 * [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))) 12.855 * [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) 12.856 * [backup-simplify]: Simplify (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 (pow (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) 1.0) 0.5) 12.856 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 12.857 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 12.858 * [backup-simplify]: Simplify (- 1) into -1 12.858 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.859 * [backup-simplify]: Simplify (+ (* 0.25 -1) (* 0 1.0)) into (- 0.25) 12.861 * [backup-simplify]: Simplify (+ (* 0.25 0) (* (- 0.25) (log (* 2.0 PI)))) into (- (* 0.25 (log (* 2.0 PI)))) 12.873 * [backup-simplify]: Simplify (* (exp (* 0.25 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.25 (log (* 2.0 PI)))) 1) 1)))) into (* -0.25 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25))) 12.899 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 PI) 0.25) (* -0.25 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25)))) (* (* -0.25 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25))) (pow (* 2.0 PI) 0.25))) into (- (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) 12.900 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 12.900 * [backup-simplify]: Simplify (- 1) into -1 12.900 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.902 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 12.903 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log n))) into (- (* 0.5 (log n))) 12.903 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 1) 1)))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 12.917 * [backup-simplify]: Simplify (+ (* (pow n 0.5) (- (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) (* (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) into (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))))) 12.917 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))))) in n 12.917 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)))) in n 12.917 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 12.917 * [taylor]: Taking taylor expansion of 0.5 in n 12.917 * [backup-simplify]: Simplify 0.5 into 0.5 12.917 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 12.917 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 12.917 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 12.917 * [taylor]: Taking taylor expansion of 2.0 in n 12.917 * [backup-simplify]: Simplify 2.0 into 2.0 12.917 * [taylor]: Taking taylor expansion of PI in n 12.917 * [backup-simplify]: Simplify PI into PI 12.918 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.919 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.919 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 12.919 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 12.919 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 12.919 * [taylor]: Taking taylor expansion of 0.5 in n 12.919 * [backup-simplify]: Simplify 0.5 into 0.5 12.919 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 12.919 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 12.919 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 12.919 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 12.919 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 12.919 * [taylor]: Taking taylor expansion of 1.0 in n 12.919 * [backup-simplify]: Simplify 1.0 into 1.0 12.919 * [taylor]: Taking taylor expansion of (log PI) in n 12.919 * [taylor]: Taking taylor expansion of PI in n 12.919 * [backup-simplify]: Simplify PI into PI 12.920 * [backup-simplify]: Simplify (log PI) into (log PI) 12.921 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 12.923 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 12.923 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 12.923 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 12.923 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 12.923 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 12.923 * [taylor]: Taking taylor expansion of 1.0 in n 12.923 * [backup-simplify]: Simplify 1.0 into 1.0 12.923 * [taylor]: Taking taylor expansion of (log n) in n 12.923 * [taylor]: Taking taylor expansion of n in n 12.923 * [backup-simplify]: Simplify 0 into 0 12.923 * [backup-simplify]: Simplify 1 into 1 12.923 * [backup-simplify]: Simplify (log 1) into 0 12.924 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 12.924 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 12.924 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 12.924 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 12.924 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 12.924 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 12.924 * [taylor]: Taking taylor expansion of 1.0 in n 12.924 * [backup-simplify]: Simplify 1.0 into 1.0 12.924 * [taylor]: Taking taylor expansion of (log 2.0) in n 12.924 * [taylor]: Taking taylor expansion of 2.0 in n 12.924 * [backup-simplify]: Simplify 2.0 into 2.0 12.925 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 12.925 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 12.926 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 12.927 * [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) 12.927 * [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) 12.928 * [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)) 12.929 * [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))) 12.930 * [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) 12.930 * [taylor]: Taking taylor expansion of (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) in n 12.930 * [taylor]: Taking taylor expansion of 0.5 in n 12.930 * [backup-simplify]: Simplify 0.5 into 0.5 12.930 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)) in n 12.930 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 12.930 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 12.930 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 12.930 * [taylor]: Taking taylor expansion of 0.5 in n 12.930 * [backup-simplify]: Simplify 0.5 into 0.5 12.930 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 12.930 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 12.930 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 12.930 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 12.930 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 12.930 * [taylor]: Taking taylor expansion of 1.0 in n 12.930 * [backup-simplify]: Simplify 1.0 into 1.0 12.930 * [taylor]: Taking taylor expansion of (log 2.0) in n 12.930 * [taylor]: Taking taylor expansion of 2.0 in n 12.930 * [backup-simplify]: Simplify 2.0 into 2.0 12.931 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 12.931 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 12.932 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 12.932 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 12.932 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 12.932 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 12.932 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 12.932 * [taylor]: Taking taylor expansion of 1.0 in n 12.932 * [backup-simplify]: Simplify 1.0 into 1.0 12.932 * [taylor]: Taking taylor expansion of (log PI) in n 12.932 * [taylor]: Taking taylor expansion of PI in n 12.932 * [backup-simplify]: Simplify PI into PI 12.933 * [backup-simplify]: Simplify (log PI) into (log PI) 12.933 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 12.938 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 12.938 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 12.938 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 12.938 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 12.938 * [taylor]: Taking taylor expansion of 1.0 in n 12.938 * [backup-simplify]: Simplify 1.0 into 1.0 12.938 * [taylor]: Taking taylor expansion of (log n) in n 12.938 * [taylor]: Taking taylor expansion of n in n 12.938 * [backup-simplify]: Simplify 0 into 0 12.938 * [backup-simplify]: Simplify 1 into 1 12.938 * [backup-simplify]: Simplify (log 1) into 0 12.939 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 12.939 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 12.939 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 12.939 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 12.940 * [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) 12.941 * [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)) 12.941 * [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))) 12.942 * [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) 12.942 * [taylor]: Taking taylor expansion of (log n) in n 12.942 * [taylor]: Taking taylor expansion of n in n 12.942 * [backup-simplify]: Simplify 0 into 0 12.942 * [backup-simplify]: Simplify 1 into 1 12.943 * [backup-simplify]: Simplify (log 1) into 0 12.944 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (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 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 12.946 * [backup-simplify]: Simplify (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) into (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 12.946 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 12.947 * [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 n)) into (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n)) 12.948 * [backup-simplify]: Simplify (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n))) into (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 12.950 * [backup-simplify]: Simplify (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) into (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) 12.953 * [backup-simplify]: Simplify (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) into (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) 12.955 * [backup-simplify]: Simplify (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) into (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) 12.956 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 12.956 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 12.957 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 12.958 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 12.958 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 12.959 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 12.959 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 12.960 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 12.961 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 12.961 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 12.962 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 12.963 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0 12.964 * [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 12.965 * [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 12.967 * [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 12.967 * [backup-simplify]: Simplify 0 into 0 12.967 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 12.970 * [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 12.970 * [backup-simplify]: Simplify (- 0) into 0 12.970 * [backup-simplify]: Simplify (+ 0 0) into 0 12.971 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 -1) (* 0 1.0))) into 0 12.973 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* (- 0.25) 0) (* 0 (log (* 2.0 PI))))) into 0 12.991 * [backup-simplify]: Simplify (* (exp (* 0.25 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.25 (log (* 2.0 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.03125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25))) 13.030 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 PI) 0.25) (* 0.03125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25)))) (+ (* (* -0.25 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25))) (* -0.25 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25)))) (* (* 0.03125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25))) (pow (* 2.0 PI) 0.25)))) into (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 13.031 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 13.031 * [backup-simplify]: Simplify (- 0) into 0 13.031 * [backup-simplify]: Simplify (+ 0 0) into 0 13.032 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 13.033 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log n)))) into 0 13.033 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 13.046 * [backup-simplify]: Simplify (+ (* (pow n 0.5) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (+ (* (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) (- (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) (* (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) into (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))) 13.046 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))) in n 13.046 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) in n 13.046 * [taylor]: Taking taylor expansion of 0.125 in n 13.046 * [backup-simplify]: Simplify 0.125 into 0.125 13.046 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2)) in n 13.046 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 13.046 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 13.046 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 13.046 * [taylor]: Taking taylor expansion of 0.5 in n 13.046 * [backup-simplify]: Simplify 0.5 into 0.5 13.046 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 13.046 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 13.046 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 13.046 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 13.046 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 13.046 * [taylor]: Taking taylor expansion of 1.0 in n 13.046 * [backup-simplify]: Simplify 1.0 into 1.0 13.046 * [taylor]: Taking taylor expansion of (log 2.0) in n 13.046 * [taylor]: Taking taylor expansion of 2.0 in n 13.046 * [backup-simplify]: Simplify 2.0 into 2.0 13.051 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 13.052 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 13.054 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 13.054 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 13.054 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 13.054 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 13.054 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 13.054 * [taylor]: Taking taylor expansion of 1.0 in n 13.054 * [backup-simplify]: Simplify 1.0 into 1.0 13.054 * [taylor]: Taking taylor expansion of (log PI) in n 13.054 * [taylor]: Taking taylor expansion of PI in n 13.054 * [backup-simplify]: Simplify PI into PI 13.054 * [backup-simplify]: Simplify (log PI) into (log PI) 13.055 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 13.057 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 13.057 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 13.057 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 13.057 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 13.057 * [taylor]: Taking taylor expansion of 1.0 in n 13.057 * [backup-simplify]: Simplify 1.0 into 1.0 13.057 * [taylor]: Taking taylor expansion of (log n) in n 13.057 * [taylor]: Taking taylor expansion of n in n 13.057 * [backup-simplify]: Simplify 0 into 0 13.057 * [backup-simplify]: Simplify 1 into 1 13.058 * [backup-simplify]: Simplify (log 1) into 0 13.058 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 13.058 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 13.058 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 13.059 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 13.060 * [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) 13.062 * [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)) 13.063 * [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))) 13.065 * [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) 13.065 * [taylor]: Taking taylor expansion of (pow (log n) 2) in n 13.065 * [taylor]: Taking taylor expansion of (log n) in n 13.065 * [taylor]: Taking taylor expansion of n in n 13.065 * [backup-simplify]: Simplify 0 into 0 13.065 * [backup-simplify]: Simplify 1 into 1 13.065 * [backup-simplify]: Simplify (log 1) into 0 13.066 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 13.066 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))) in n 13.066 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 13.066 * [taylor]: Taking taylor expansion of 0.125 in n 13.066 * [backup-simplify]: Simplify 0.125 into 0.125 13.066 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 13.066 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 PI)) 2) in n 13.066 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 13.066 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 13.066 * [taylor]: Taking taylor expansion of 2.0 in n 13.066 * [backup-simplify]: Simplify 2.0 into 2.0 13.066 * [taylor]: Taking taylor expansion of PI in n 13.066 * [backup-simplify]: Simplify PI into PI 13.067 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 13.068 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 13.068 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 13.068 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 13.068 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 13.068 * [taylor]: Taking taylor expansion of 0.5 in n 13.068 * [backup-simplify]: Simplify 0.5 into 0.5 13.068 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 13.068 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 13.068 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 13.068 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 13.068 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 13.068 * [taylor]: Taking taylor expansion of 1.0 in n 13.068 * [backup-simplify]: Simplify 1.0 into 1.0 13.068 * [taylor]: Taking taylor expansion of (log PI) in n 13.068 * [taylor]: Taking taylor expansion of PI in n 13.068 * [backup-simplify]: Simplify PI into PI 13.069 * [backup-simplify]: Simplify (log PI) into (log PI) 13.070 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 13.071 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 13.071 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 13.072 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 13.072 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 13.072 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 13.072 * [taylor]: Taking taylor expansion of 1.0 in n 13.072 * [backup-simplify]: Simplify 1.0 into 1.0 13.072 * [taylor]: Taking taylor expansion of (log n) in n 13.072 * [taylor]: Taking taylor expansion of n in n 13.072 * [backup-simplify]: Simplify 0 into 0 13.072 * [backup-simplify]: Simplify 1 into 1 13.072 * [backup-simplify]: Simplify (log 1) into 0 13.073 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 13.073 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 13.073 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 13.073 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 13.073 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 13.073 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 13.073 * [taylor]: Taking taylor expansion of 1.0 in n 13.073 * [backup-simplify]: Simplify 1.0 into 1.0 13.073 * [taylor]: Taking taylor expansion of (log 2.0) in n 13.073 * [taylor]: Taking taylor expansion of 2.0 in n 13.073 * [backup-simplify]: Simplify 2.0 into 2.0 13.073 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 13.074 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 13.076 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 13.077 * [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) 13.078 * [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) 13.080 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 13.081 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 13.083 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 13.083 * [taylor]: Taking taylor expansion of (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) in n 13.083 * [taylor]: Taking taylor expansion of 0.25 in n 13.083 * [backup-simplify]: Simplify 0.25 into 0.25 13.083 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)) in n 13.083 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (log n)) in n 13.083 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 13.083 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 13.083 * [taylor]: Taking taylor expansion of 2.0 in n 13.083 * [backup-simplify]: Simplify 2.0 into 2.0 13.083 * [taylor]: Taking taylor expansion of PI in n 13.083 * [backup-simplify]: Simplify PI into PI 13.084 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 13.085 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 13.085 * [taylor]: Taking taylor expansion of (log n) in n 13.085 * [taylor]: Taking taylor expansion of n in n 13.085 * [backup-simplify]: Simplify 0 into 0 13.085 * [backup-simplify]: Simplify 1 into 1 13.085 * [backup-simplify]: Simplify (log 1) into 0 13.085 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) in n 13.085 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))))) in n 13.085 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))))) in n 13.085 * [taylor]: Taking taylor expansion of 0.5 in n 13.085 * [backup-simplify]: Simplify 0.5 into 0.5 13.085 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) in n 13.085 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) in n 13.085 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 13.085 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 13.086 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 13.086 * [taylor]: Taking taylor expansion of 1.0 in n 13.086 * [backup-simplify]: Simplify 1.0 into 1.0 13.086 * [taylor]: Taking taylor expansion of (log PI) in n 13.086 * [taylor]: Taking taylor expansion of PI in n 13.086 * [backup-simplify]: Simplify PI into PI 13.086 * [backup-simplify]: Simplify (log PI) into (log PI) 13.087 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 13.089 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 13.089 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow n 1.0)) in n 13.089 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 13.089 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 13.089 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 13.089 * [taylor]: Taking taylor expansion of 1.0 in n 13.089 * [backup-simplify]: Simplify 1.0 into 1.0 13.089 * [taylor]: Taking taylor expansion of (log 2.0) in n 13.089 * [taylor]: Taking taylor expansion of 2.0 in n 13.089 * [backup-simplify]: Simplify 2.0 into 2.0 13.089 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 13.090 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 13.092 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 13.092 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 13.092 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 13.092 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 13.092 * [taylor]: Taking taylor expansion of 1.0 in n 13.092 * [backup-simplify]: Simplify 1.0 into 1.0 13.092 * [taylor]: Taking taylor expansion of (log n) in n 13.093 * [taylor]: Taking taylor expansion of n in n 13.093 * [backup-simplify]: Simplify 0 into 0 13.093 * [backup-simplify]: Simplify 1 into 1 13.093 * [backup-simplify]: Simplify (log 1) into 0 13.093 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 13.093 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 13.093 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 13.094 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 13.094 * [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) 13.095 * [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)) 13.096 * [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))) 13.097 * [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) 13.097 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 13.098 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 13.098 * [backup-simplify]: Simplify (* (log n) (log n)) into (pow (log n) 2) 13.099 * [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 n) 2)) into (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2)) 13.099 * [backup-simplify]: Simplify (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2))) into (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 13.101 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (log (* 2.0 PI))) into (pow (log (* 2.0 PI)) 2) 13.103 * [backup-simplify]: Simplify (* (pow (log (* 2.0 PI)) 2) (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 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 13.105 * [backup-simplify]: Simplify (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) into (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 13.105 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 13.106 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (log n)) into (* (log (* 2.0 PI)) (log n)) 13.107 * [backup-simplify]: Simplify (* (* (log (* 2.0 PI)) (log n)) (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 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)) 13.109 * [backup-simplify]: Simplify (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) into (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) 13.112 * [backup-simplify]: Simplify (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))) into (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))) 13.117 * [backup-simplify]: Simplify (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))) into (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))) 13.122 * [backup-simplify]: Simplify (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))) into (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))) 13.134 * [backup-simplify]: Simplify (+ (* (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))) (pow (* 1 k) 2)) (+ (* (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) (* 1 k)) (pow (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) 1.0) 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (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))) (pow (pow (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) 1.0) 1.0) 0.5)))) (+ (* 0.5 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) 13.136 * [backup-simplify]: Simplify (* (pow (* 2.0 PI) (/ (/ (- 1.0 (/ 1 k)) 2.0) 2)) (* (pow (* 2.0 PI) (/ (/ (- 1.0 (/ 1 k)) 2.0) 2)) (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0)))) into (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2)) 13.137 * [approximate]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2)) in (k n) around 0 13.137 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2)) in n 13.137 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 13.137 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 13.137 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 13.137 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 13.137 * [taylor]: Taking taylor expansion of 0.5 in n 13.137 * [backup-simplify]: Simplify 0.5 into 0.5 13.137 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 13.137 * [taylor]: Taking taylor expansion of 1.0 in n 13.137 * [backup-simplify]: Simplify 1.0 into 1.0 13.137 * [taylor]: Taking taylor expansion of (/ 1 k) in n 13.137 * [taylor]: Taking taylor expansion of k in n 13.137 * [backup-simplify]: Simplify k into k 13.137 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 13.137 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 13.137 * [taylor]: Taking taylor expansion of (/ 1 n) in n 13.137 * [taylor]: Taking taylor expansion of n in n 13.137 * [backup-simplify]: Simplify 0 into 0 13.137 * [backup-simplify]: Simplify 1 into 1 13.138 * [backup-simplify]: Simplify (/ 1 1) into 1 13.138 * [backup-simplify]: Simplify (log 1) into 0 13.138 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 13.138 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 13.138 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 13.139 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 13.139 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 13.139 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 13.139 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2) in n 13.139 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) in n 13.139 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in n 13.140 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in n 13.140 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 13.140 * [taylor]: Taking taylor expansion of 0.25 in n 13.140 * [backup-simplify]: Simplify 0.25 into 0.25 13.140 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 13.140 * [taylor]: Taking taylor expansion of 1.0 in n 13.140 * [backup-simplify]: Simplify 1.0 into 1.0 13.140 * [taylor]: Taking taylor expansion of (/ 1 k) in n 13.140 * [taylor]: Taking taylor expansion of k in n 13.140 * [backup-simplify]: Simplify k into k 13.140 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 13.140 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 13.140 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 13.140 * [taylor]: Taking taylor expansion of 2.0 in n 13.140 * [backup-simplify]: Simplify 2.0 into 2.0 13.140 * [taylor]: Taking taylor expansion of PI in n 13.140 * [backup-simplify]: Simplify PI into PI 13.141 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 13.142 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 13.142 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 13.143 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 13.143 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 13.144 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) into (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) 13.145 * [backup-simplify]: Simplify (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 13.145 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2)) in k 13.145 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 13.145 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 13.145 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 13.145 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 13.146 * [taylor]: Taking taylor expansion of 0.5 in k 13.146 * [backup-simplify]: Simplify 0.5 into 0.5 13.146 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 13.146 * [taylor]: Taking taylor expansion of 1.0 in k 13.146 * [backup-simplify]: Simplify 1.0 into 1.0 13.146 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.146 * [taylor]: Taking taylor expansion of k in k 13.146 * [backup-simplify]: Simplify 0 into 0 13.146 * [backup-simplify]: Simplify 1 into 1 13.146 * [backup-simplify]: Simplify (/ 1 1) into 1 13.146 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 13.146 * [taylor]: Taking taylor expansion of (/ 1 n) in k 13.146 * [taylor]: Taking taylor expansion of n in k 13.146 * [backup-simplify]: Simplify n into n 13.146 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.147 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 13.147 * [backup-simplify]: Simplify (- 1) into -1 13.147 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.148 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 13.148 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 13.148 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 13.148 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2) in k 13.148 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) in k 13.148 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 13.148 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 13.148 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 13.149 * [taylor]: Taking taylor expansion of 0.25 in k 13.149 * [backup-simplify]: Simplify 0.25 into 0.25 13.149 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 13.149 * [taylor]: Taking taylor expansion of 1.0 in k 13.149 * [backup-simplify]: Simplify 1.0 into 1.0 13.149 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.149 * [taylor]: Taking taylor expansion of k in k 13.149 * [backup-simplify]: Simplify 0 into 0 13.149 * [backup-simplify]: Simplify 1 into 1 13.149 * [backup-simplify]: Simplify (/ 1 1) into 1 13.149 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 13.149 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 13.149 * [taylor]: Taking taylor expansion of 2.0 in k 13.149 * [backup-simplify]: Simplify 2.0 into 2.0 13.149 * [taylor]: Taking taylor expansion of PI in k 13.149 * [backup-simplify]: Simplify PI into PI 13.150 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 13.151 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 13.152 * [backup-simplify]: Simplify (- 1) into -1 13.152 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.153 * [backup-simplify]: Simplify (* 0.25 -1) into -0.25 13.155 * [backup-simplify]: Simplify (* -0.25 (log (* 2.0 PI))) into (* -0.25 (log (* 2.0 PI))) 13.156 * [backup-simplify]: Simplify (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 13.156 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2)) in k 13.156 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 13.156 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 13.156 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 13.156 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 13.156 * [taylor]: Taking taylor expansion of 0.5 in k 13.156 * [backup-simplify]: Simplify 0.5 into 0.5 13.156 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 13.156 * [taylor]: Taking taylor expansion of 1.0 in k 13.156 * [backup-simplify]: Simplify 1.0 into 1.0 13.156 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.156 * [taylor]: Taking taylor expansion of k in k 13.156 * [backup-simplify]: Simplify 0 into 0 13.156 * [backup-simplify]: Simplify 1 into 1 13.157 * [backup-simplify]: Simplify (/ 1 1) into 1 13.157 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 13.157 * [taylor]: Taking taylor expansion of (/ 1 n) in k 13.157 * [taylor]: Taking taylor expansion of n in k 13.157 * [backup-simplify]: Simplify n into n 13.157 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.157 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 13.158 * [backup-simplify]: Simplify (- 1) into -1 13.158 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.158 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 13.159 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 13.159 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 13.159 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2) in k 13.159 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) in k 13.159 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 13.159 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 13.159 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 13.159 * [taylor]: Taking taylor expansion of 0.25 in k 13.159 * [backup-simplify]: Simplify 0.25 into 0.25 13.159 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 13.159 * [taylor]: Taking taylor expansion of 1.0 in k 13.159 * [backup-simplify]: Simplify 1.0 into 1.0 13.159 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.159 * [taylor]: Taking taylor expansion of k in k 13.159 * [backup-simplify]: Simplify 0 into 0 13.159 * [backup-simplify]: Simplify 1 into 1 13.160 * [backup-simplify]: Simplify (/ 1 1) into 1 13.160 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 13.160 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 13.160 * [taylor]: Taking taylor expansion of 2.0 in k 13.160 * [backup-simplify]: Simplify 2.0 into 2.0 13.160 * [taylor]: Taking taylor expansion of PI in k 13.160 * [backup-simplify]: Simplify PI into PI 13.160 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 13.162 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 13.162 * [backup-simplify]: Simplify (- 1) into -1 13.162 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.163 * [backup-simplify]: Simplify (* 0.25 -1) into -0.25 13.165 * [backup-simplify]: Simplify (* -0.25 (log (* 2.0 PI))) into (* -0.25 (log (* 2.0 PI))) 13.166 * [backup-simplify]: Simplify (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 13.168 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2) 13.170 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) into (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) 13.170 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) in n 13.170 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 13.170 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 13.170 * [taylor]: Taking taylor expansion of 0.5 in n 13.170 * [backup-simplify]: Simplify 0.5 into 0.5 13.170 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 13.170 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 13.170 * [taylor]: Taking taylor expansion of (/ 1 n) in n 13.170 * [taylor]: Taking taylor expansion of n in n 13.170 * [backup-simplify]: Simplify 0 into 0 13.171 * [backup-simplify]: Simplify 1 into 1 13.171 * [backup-simplify]: Simplify (/ 1 1) into 1 13.171 * [backup-simplify]: Simplify (log 1) into 0 13.171 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 13.171 * [taylor]: Taking taylor expansion of 1.0 in n 13.171 * [backup-simplify]: Simplify 1.0 into 1.0 13.171 * [taylor]: Taking taylor expansion of (/ 1 k) in n 13.171 * [taylor]: Taking taylor expansion of k in n 13.171 * [backup-simplify]: Simplify k into k 13.172 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 13.172 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 13.172 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 13.172 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 13.172 * [backup-simplify]: Simplify (* (- (log n)) (- 1.0 (/ 1 k))) into (* -1 (* (log n) (- 1.0 (/ 1 k)))) 13.173 * [backup-simplify]: Simplify (* 0.5 (* -1 (* (log n) (- 1.0 (/ 1 k))))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 13.173 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 13.173 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2) in n 13.173 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 13.173 * [taylor]: Taking taylor expansion of (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 13.173 * [taylor]: Taking taylor expansion of 0.25 in n 13.173 * [backup-simplify]: Simplify 0.25 into 0.25 13.173 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 13.173 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 13.173 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 13.173 * [taylor]: Taking taylor expansion of 2.0 in n 13.173 * [backup-simplify]: Simplify 2.0 into 2.0 13.173 * [taylor]: Taking taylor expansion of PI in n 13.173 * [backup-simplify]: Simplify PI into PI 13.174 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 13.175 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 13.175 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 13.175 * [taylor]: Taking taylor expansion of 1.0 in n 13.175 * [backup-simplify]: Simplify 1.0 into 1.0 13.175 * [taylor]: Taking taylor expansion of (/ 1 k) in n 13.175 * [taylor]: Taking taylor expansion of k in n 13.175 * [backup-simplify]: Simplify k into k 13.175 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 13.175 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 13.175 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 13.176 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) into (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) 13.178 * [backup-simplify]: Simplify (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) into (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) 13.179 * [backup-simplify]: Simplify (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 13.181 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2) 13.183 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) into (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) 13.185 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) into (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) 13.187 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into 0 13.195 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 0) (* 0 (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))) into 0 13.195 * [taylor]: Taking taylor expansion of 0 in n 13.195 * [backup-simplify]: Simplify 0 into 0 13.195 * [backup-simplify]: Simplify 0 into 0 13.195 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 13.195 * [backup-simplify]: Simplify (- 0) into 0 13.196 * [backup-simplify]: Simplify (+ 0 0) into 0 13.197 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 13.198 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 13.199 * [backup-simplify]: Simplify (+ (* (log (* 2.0 PI)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 13.201 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into 0 13.203 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 13.205 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into 0 13.206 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 13.206 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 13.206 * [backup-simplify]: Simplify (- 0) into 0 13.207 * [backup-simplify]: Simplify (+ 0 0) into 0 13.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.209 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 13.209 * [backup-simplify]: Simplify (+ (* (- (log n)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 13.210 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* -1 (* (log n) (- 1.0 (/ 1 k)))))) into 0 13.211 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 13.213 * [backup-simplify]: Simplify (+ (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 0) (* 0 (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))) into 0 13.213 * [backup-simplify]: Simplify 0 into 0 13.215 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) into 0 13.217 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) into 0 13.218 * [taylor]: Taking taylor expansion of 0 in n 13.218 * [backup-simplify]: Simplify 0 into 0 13.218 * [backup-simplify]: Simplify 0 into 0 13.218 * [backup-simplify]: Simplify 0 into 0 13.218 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 13.218 * [backup-simplify]: Simplify (- 0) into 0 13.219 * [backup-simplify]: Simplify (+ 0 0) into 0 13.220 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 13.224 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 13.225 * [backup-simplify]: Simplify (+ (* (log (* 2.0 PI)) 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 13.227 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into 0 13.230 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.233 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) into 0 13.234 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 13.234 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 13.234 * [backup-simplify]: Simplify (- 0) into 0 13.235 * [backup-simplify]: Simplify (+ 0 0) into 0 13.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.239 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 13.240 * [backup-simplify]: Simplify (+ (* (- (log n)) 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 13.241 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* -1 (* (log n) (- 1.0 (/ 1 k))))))) into 0 13.242 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.245 * [backup-simplify]: Simplify (+ (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) into 0 13.245 * [backup-simplify]: Simplify 0 into 0 13.248 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))))) into 0 13.250 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))))) into 0 13.250 * [taylor]: Taking taylor expansion of 0 in n 13.250 * [backup-simplify]: Simplify 0 into 0 13.250 * [backup-simplify]: Simplify 0 into 0 13.252 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))) 2)) into (* (pow (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) 2) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))) 13.254 * [backup-simplify]: Simplify (* (pow (* 2.0 PI) (/ (/ (- 1.0 (/ 1 (- k))) 2.0) 2)) (* (pow (* 2.0 PI) (/ (/ (- 1.0 (/ 1 (- k))) 2.0) 2)) (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0)))) into (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2)) 13.254 * [approximate]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2)) in (k n) around 0 13.254 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2)) in n 13.254 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 13.254 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 13.255 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 13.255 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 13.255 * [taylor]: Taking taylor expansion of 0.5 in n 13.255 * [backup-simplify]: Simplify 0.5 into 0.5 13.255 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 13.255 * [taylor]: Taking taylor expansion of (/ 1 k) in n 13.255 * [taylor]: Taking taylor expansion of k in n 13.255 * [backup-simplify]: Simplify k into k 13.255 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 13.255 * [taylor]: Taking taylor expansion of 1.0 in n 13.255 * [backup-simplify]: Simplify 1.0 into 1.0 13.255 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 13.255 * [taylor]: Taking taylor expansion of (/ -1 n) in n 13.255 * [taylor]: Taking taylor expansion of -1 in n 13.255 * [backup-simplify]: Simplify -1 into -1 13.255 * [taylor]: Taking taylor expansion of n in n 13.255 * [backup-simplify]: Simplify 0 into 0 13.255 * [backup-simplify]: Simplify 1 into 1 13.256 * [backup-simplify]: Simplify (/ -1 1) into -1 13.256 * [backup-simplify]: Simplify (log -1) into (log -1) 13.256 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 13.256 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 13.257 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 13.258 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 13.258 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 13.258 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2) in n 13.258 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) in n 13.259 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in n 13.259 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in n 13.259 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 13.259 * [taylor]: Taking taylor expansion of 0.25 in n 13.259 * [backup-simplify]: Simplify 0.25 into 0.25 13.259 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 13.259 * [taylor]: Taking taylor expansion of (/ 1 k) in n 13.259 * [taylor]: Taking taylor expansion of k in n 13.259 * [backup-simplify]: Simplify k into k 13.259 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 13.259 * [taylor]: Taking taylor expansion of 1.0 in n 13.259 * [backup-simplify]: Simplify 1.0 into 1.0 13.259 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 13.259 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 13.259 * [taylor]: Taking taylor expansion of 2.0 in n 13.259 * [backup-simplify]: Simplify 2.0 into 2.0 13.259 * [taylor]: Taking taylor expansion of PI in n 13.259 * [backup-simplify]: Simplify PI into PI 13.260 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 13.261 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 13.261 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 13.261 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 13.262 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) into (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) 13.264 * [backup-simplify]: Simplify (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 13.264 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2)) in k 13.264 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 13.264 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 13.264 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 13.264 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 13.264 * [taylor]: Taking taylor expansion of 0.5 in k 13.264 * [backup-simplify]: Simplify 0.5 into 0.5 13.264 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 13.264 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.264 * [taylor]: Taking taylor expansion of k in k 13.264 * [backup-simplify]: Simplify 0 into 0 13.264 * [backup-simplify]: Simplify 1 into 1 13.264 * [backup-simplify]: Simplify (/ 1 1) into 1 13.264 * [taylor]: Taking taylor expansion of 1.0 in k 13.264 * [backup-simplify]: Simplify 1.0 into 1.0 13.264 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 13.265 * [taylor]: Taking taylor expansion of (/ -1 n) in k 13.265 * [taylor]: Taking taylor expansion of -1 in k 13.265 * [backup-simplify]: Simplify -1 into -1 13.265 * [taylor]: Taking taylor expansion of n in k 13.265 * [backup-simplify]: Simplify n into n 13.265 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 13.265 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 13.265 * [backup-simplify]: Simplify (+ 1 0) into 1 13.266 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 13.266 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 13.266 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 13.266 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2) in k 13.266 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) in k 13.266 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 13.266 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 13.266 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 13.266 * [taylor]: Taking taylor expansion of 0.25 in k 13.267 * [backup-simplify]: Simplify 0.25 into 0.25 13.267 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 13.267 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.267 * [taylor]: Taking taylor expansion of k in k 13.267 * [backup-simplify]: Simplify 0 into 0 13.267 * [backup-simplify]: Simplify 1 into 1 13.267 * [backup-simplify]: Simplify (/ 1 1) into 1 13.267 * [taylor]: Taking taylor expansion of 1.0 in k 13.267 * [backup-simplify]: Simplify 1.0 into 1.0 13.267 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 13.267 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 13.267 * [taylor]: Taking taylor expansion of 2.0 in k 13.267 * [backup-simplify]: Simplify 2.0 into 2.0 13.267 * [taylor]: Taking taylor expansion of PI in k 13.267 * [backup-simplify]: Simplify PI into PI 13.268 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 13.269 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 13.269 * [backup-simplify]: Simplify (+ 1 0) into 1 13.270 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 13.272 * [backup-simplify]: Simplify (* 0.25 (log (* 2.0 PI))) into (* 0.25 (log (* 2.0 PI))) 13.273 * [backup-simplify]: Simplify (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 13.273 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2)) in k 13.273 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 13.273 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 13.273 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 13.273 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 13.273 * [taylor]: Taking taylor expansion of 0.5 in k 13.273 * [backup-simplify]: Simplify 0.5 into 0.5 13.273 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 13.273 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.273 * [taylor]: Taking taylor expansion of k in k 13.273 * [backup-simplify]: Simplify 0 into 0 13.273 * [backup-simplify]: Simplify 1 into 1 13.274 * [backup-simplify]: Simplify (/ 1 1) into 1 13.274 * [taylor]: Taking taylor expansion of 1.0 in k 13.274 * [backup-simplify]: Simplify 1.0 into 1.0 13.274 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 13.274 * [taylor]: Taking taylor expansion of (/ -1 n) in k 13.274 * [taylor]: Taking taylor expansion of -1 in k 13.274 * [backup-simplify]: Simplify -1 into -1 13.274 * [taylor]: Taking taylor expansion of n in k 13.274 * [backup-simplify]: Simplify n into n 13.274 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 13.274 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 13.275 * [backup-simplify]: Simplify (+ 1 0) into 1 13.275 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 13.275 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 13.275 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 13.276 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2) in k 13.276 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) in k 13.276 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 13.276 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 13.276 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 13.276 * [taylor]: Taking taylor expansion of 0.25 in k 13.276 * [backup-simplify]: Simplify 0.25 into 0.25 13.276 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 13.276 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.276 * [taylor]: Taking taylor expansion of k in k 13.276 * [backup-simplify]: Simplify 0 into 0 13.276 * [backup-simplify]: Simplify 1 into 1 13.276 * [backup-simplify]: Simplify (/ 1 1) into 1 13.276 * [taylor]: Taking taylor expansion of 1.0 in k 13.276 * [backup-simplify]: Simplify 1.0 into 1.0 13.276 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 13.276 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 13.276 * [taylor]: Taking taylor expansion of 2.0 in k 13.277 * [backup-simplify]: Simplify 2.0 into 2.0 13.277 * [taylor]: Taking taylor expansion of PI in k 13.277 * [backup-simplify]: Simplify PI into PI 13.277 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 13.278 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 13.279 * [backup-simplify]: Simplify (+ 1 0) into 1 13.279 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 13.281 * [backup-simplify]: Simplify (* 0.25 (log (* 2.0 PI))) into (* 0.25 (log (* 2.0 PI))) 13.282 * [backup-simplify]: Simplify (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 13.285 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) 13.287 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2)) into (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))) 13.287 * [taylor]: Taking taylor expansion of (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))) in n 13.287 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) in n 13.287 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n 13.287 * [taylor]: Taking taylor expansion of (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n 13.287 * [taylor]: Taking taylor expansion of 0.25 in n 13.287 * [backup-simplify]: Simplify 0.25 into 0.25 13.287 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n 13.287 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 13.287 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 13.287 * [taylor]: Taking taylor expansion of 2.0 in n 13.287 * [backup-simplify]: Simplify 2.0 into 2.0 13.287 * [taylor]: Taking taylor expansion of PI in n 13.287 * [backup-simplify]: Simplify PI into PI 13.288 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 13.289 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 13.289 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 13.289 * [taylor]: Taking taylor expansion of (/ 1 k) in n 13.289 * [taylor]: Taking taylor expansion of k in n 13.289 * [backup-simplify]: Simplify k into k 13.289 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 13.289 * [taylor]: Taking taylor expansion of 1.0 in n 13.289 * [backup-simplify]: Simplify 1.0 into 1.0 13.290 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 13.291 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) into (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) 13.292 * [backup-simplify]: Simplify (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) into (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) 13.293 * [backup-simplify]: Simplify (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 13.293 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 13.293 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 13.293 * [taylor]: Taking taylor expansion of 0.5 in n 13.293 * [backup-simplify]: Simplify 0.5 into 0.5 13.294 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 13.294 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 13.294 * [taylor]: Taking taylor expansion of (/ 1 k) in n 13.294 * [taylor]: Taking taylor expansion of k in n 13.294 * [backup-simplify]: Simplify k into k 13.294 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 13.294 * [taylor]: Taking taylor expansion of 1.0 in n 13.294 * [backup-simplify]: Simplify 1.0 into 1.0 13.294 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 13.294 * [taylor]: Taking taylor expansion of (/ -1 n) in n 13.294 * [taylor]: Taking taylor expansion of -1 in n 13.294 * [backup-simplify]: Simplify -1 into -1 13.294 * [taylor]: Taking taylor expansion of n in n 13.294 * [backup-simplify]: Simplify 0 into 0 13.294 * [backup-simplify]: Simplify 1 into 1 13.294 * [backup-simplify]: Simplify (/ -1 1) into -1 13.295 * [backup-simplify]: Simplify (log -1) into (log -1) 13.295 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 13.296 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 13.297 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log -1) (log n))) into (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) 13.297 * [backup-simplify]: Simplify (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 13.298 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 13.301 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) 13.303 * [backup-simplify]: Simplify (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) into (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) 13.305 * [backup-simplify]: Simplify (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) into (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) 13.308 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into 0 13.309 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 0) (* 0 (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2))) into 0 13.309 * [taylor]: Taking taylor expansion of 0 in n 13.309 * [backup-simplify]: Simplify 0 into 0 13.309 * [backup-simplify]: Simplify 0 into 0 13.310 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.312 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 13.312 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 13.312 * [backup-simplify]: Simplify (+ 0 0) into 0 13.313 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 13.314 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (- (log -1) (log n)))) into 0 13.315 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into 0 13.316 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 13.317 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 13.317 * [backup-simplify]: Simplify (+ 0 0) into 0 13.318 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 13.320 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 13.321 * [backup-simplify]: Simplify (+ (* (log (* 2.0 PI)) 0) (* 0 (+ (/ 1 k) 1.0))) into 0 13.322 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into 0 13.324 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 13.327 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into 0 13.329 * [backup-simplify]: Simplify (+ (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) 0) (* 0 (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) into 0 13.329 * [backup-simplify]: Simplify 0 into 0 13.332 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 0) (+ (* 0 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) into 0 13.334 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 0) (+ (* 0 0) (* 0 (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2)))) into 0 13.334 * [taylor]: Taking taylor expansion of 0 in n 13.334 * [backup-simplify]: Simplify 0 into 0 13.334 * [backup-simplify]: Simplify 0 into 0 13.334 * [backup-simplify]: Simplify 0 into 0 13.336 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.339 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 13.339 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 13.340 * [backup-simplify]: Simplify (+ 0 0) into 0 13.341 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 13.342 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 13.343 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) into 0 13.345 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.346 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 13.346 * [backup-simplify]: Simplify (+ 0 0) into 0 13.347 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 13.351 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 13.353 * [backup-simplify]: Simplify (+ (* (log (* 2.0 PI)) 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 13.360 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into 0 13.363 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.366 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 0) (+ (* 0 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) into 0 13.369 * [backup-simplify]: Simplify (+ (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) into 0 13.369 * [backup-simplify]: Simplify 0 into 0 13.372 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))))) into 0 13.375 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2))))) into 0 13.375 * [taylor]: Taking taylor expansion of 0 in n 13.375 * [backup-simplify]: Simplify 0 into 0 13.375 * [backup-simplify]: Simplify 0 into 0 13.377 * [backup-simplify]: Simplify (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0))))) into (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (pow (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) 2)) 13.377 * * * [progress]: simplifying candidates 13.390 * [simplify]: Simplifying: (* (log n) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (/ (sqrt (- 1.0 k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (/ (+ (sqrt 1.0) 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1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (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))) (pow (pow (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) 1.0) 1.0) 0.5)))) (+ (* 0.5 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) (* (pow (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) 2) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))) (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (pow (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) 2)) 13.417 * * [simplify]: Extracting # 0 : cost 0 13.418 * * [simplify]: Extracting # 1 : cost 0 13.419 * * [simplify]: Extracting # 2 : cost 0 13.420 * * [simplify]: Extracting # 3 : cost 0 13.421 * * [simplify]: Extracting # 4 : cost 0 13.423 * * [simplify]: Extracting # 5 : cost 0 13.424 * * [simplify]: Extracting # 6 : cost 0 13.426 * * [simplify]: Extracting # 7 : cost 0 13.427 * * [simplify]: Extracting # 8 : cost 0 13.428 * * [simplify]: Extracting # 9 : cost 0 13.430 * * [simplify]: Extracting # 10 : cost 0 13.431 * * [simplify]: Extracting # 11 : cost 0 13.433 * * [simplify]: Extracting # 12 : cost 0 13.434 * * [simplify]: Extracting # 13 : cost 0 13.436 * * [simplify]: Extracting # 14 : cost 0 13.437 * * [simplify]: Extracting # 15 : cost 0 13.439 * * [simplify]: Extracting # 16 : cost 0 13.441 * * [simplify]: Extracting # 17 : cost 0 13.442 * * [simplify]: Extracting # 18 : cost 0 13.444 * * [simplify]: Extracting # 19 : cost 0 13.445 * * [simplify]: Extracting # 20 : cost 0 13.446 * * [simplify]: Extracting # 21 : cost 0 13.447 * * [simplify]: Extracting # 22 : cost 0 13.447 * * [simplify]: Extracting # 23 : cost 0 13.448 * * [simplify]: Extracting # 24 : cost 0 13.449 * * [simplify]: Extracting # 25 : cost 0 13.450 * * [simplify]: Extracting # 26 : cost 0 13.450 * * [simplify]: Extracting # 27 : cost 0 13.451 * * [simplify]: Extracting # 28 : cost 0 13.452 * * [simplify]: Extracting # 29 : cost 0 13.452 * * [simplify]: Extracting # 30 : cost 0 13.453 * * [simplify]: Extracting # 31 : cost 0 13.454 * * [simplify]: Extracting # 32 : cost 0 13.455 * * [simplify]: Extracting # 33 : cost 0 13.460 * * [simplify]: iteration 0 : 464 enodes (cost 11011 ) 13.673 * * [simplify]: Extracting # 0 : cost 0 13.675 * * [simplify]: Extracting # 1 : cost 0 13.676 * * [simplify]: Extracting # 2 : cost 0 13.678 * * [simplify]: Extracting # 3 : cost 0 13.680 * * [simplify]: Extracting # 4 : cost 0 13.682 * * [simplify]: Extracting # 5 : cost 0 13.685 * * [simplify]: Extracting # 6 : cost 0 13.694 * * [simplify]: iteration 1 : 1223 enodes (cost 8028 ) 14.315 * * [simplify]: Extracting # 0 : cost 0 14.320 * * [simplify]: Extracting # 1 : cost 0 14.325 * * [simplify]: Extracting # 2 : cost 0 14.330 * * [simplify]: Extracting # 3 : cost 0 14.338 * * [simplify]: Extracting # 4 : cost 0 14.347 * * [simplify]: Extracting # 5 : cost 0 14.357 * * [simplify]: Extracting # 6 : cost 0 14.364 * * [simplify]: iteration 2 : 4112 enodes (cost 7464 ) 15.984 * * [simplify]: Extracting # 0 : cost 0 15.993 * * [simplify]: Extracting # 1 : cost 0 16.006 * * [simplify]: Extracting # 2 : cost 0 16.018 * * [simplify]: Extracting # 3 : cost 0 16.030 * * [simplify]: Extracting # 4 : cost 0 16.043 * * [simplify]: iteration done: 5000 enodes (cost 6576 ) 16.046 * [simplify]: Simplified to: (log (pow n (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0))) (/ (- 1.0 k) 2.0) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (* (cbrt (- 1.0 k)) (cbrt (- 1.0 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k)))) k)))) (+ (* +nan.0 (- (/ (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2) (/ k (exp (* (* 0.5 (- 1.0 k)) (+ 0 (log n)))))) (/ (* (exp (* (* 0.5 (- 1.0 k)) (+ 0 (log n)))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2)) (* k k)))) (* (- +nan.0) (* (exp (* (* 0.5 (- 1.0 k)) (+ 0 (log n)))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2)))) (- (+ (+ (* 0.25 (* (* (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))) (pow (pow (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) 1.0) 1.0) 0.5)) (* 0.125 (+ (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (* (* (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))))) (* (* k (+ (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) 0.5)) (* (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2) (pow (/ 1 n) (* -0.5 (- 1.0 k)))) (* (exp (* (* 0.5 (- 1.0 k)) (+ 0 (log n)))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2)) 16.049 * * * [progress]: adding candidates to table 16.975 * * [progress]: iteration 4 / 4 16.975 * * * [progress]: picking best candidate 17.018 * * * * [pick]: Picked # 17.018 * * * [progress]: localizing error 17.071 * * * [progress]: generating rewritten candidates 17.071 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 17.091 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 17.099 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 17.471 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 17.692 * * * [progress]: generating series expansions 17.692 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 17.693 * [backup-simplify]: Simplify (pow (/ 1 n) (* -0.5 (- 1.0 k))) into (pow (/ 1 n) (* -0.5 (- 1.0 k))) 17.693 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* -0.5 (- 1.0 k))) in (n k) around 0 17.693 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* -0.5 (- 1.0 k))) in k 17.693 * [taylor]: Taking taylor expansion of (exp (* (* -0.5 (- 1.0 k)) (log (/ 1 n)))) in k 17.693 * [taylor]: Taking taylor expansion of (* (* -0.5 (- 1.0 k)) (log (/ 1 n))) in k 17.693 * [taylor]: Taking taylor expansion of (* -0.5 (- 1.0 k)) in k 17.693 * [taylor]: Taking taylor expansion of -0.5 in k 17.693 * [backup-simplify]: Simplify -0.5 into -0.5 17.693 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 17.693 * [taylor]: Taking taylor expansion of 1.0 in k 17.693 * [backup-simplify]: Simplify 1.0 into 1.0 17.693 * [taylor]: Taking taylor expansion of k in k 17.693 * [backup-simplify]: Simplify 0 into 0 17.693 * [backup-simplify]: Simplify 1 into 1 17.693 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 17.693 * [taylor]: Taking taylor expansion of (/ 1 n) in k 17.693 * [taylor]: Taking taylor expansion of n in k 17.693 * [backup-simplify]: Simplify n into n 17.693 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 17.693 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 17.694 * [backup-simplify]: Simplify (- 0) into 0 17.695 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 17.695 * [backup-simplify]: Simplify (* -0.5 1.0) into -0.5 17.695 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 17.695 * [backup-simplify]: Simplify (exp (* -0.5 (log (/ 1 n)))) into (pow (/ 1 n) -0.5) 17.695 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* -0.5 (- 1.0 k))) in n 17.695 * [taylor]: Taking taylor expansion of (exp (* (* -0.5 (- 1.0 k)) (log (/ 1 n)))) in n 17.695 * [taylor]: Taking taylor expansion of (* (* -0.5 (- 1.0 k)) (log (/ 1 n))) in n 17.695 * [taylor]: Taking taylor expansion of (* -0.5 (- 1.0 k)) in n 17.696 * [taylor]: Taking taylor expansion of -0.5 in n 17.696 * [backup-simplify]: Simplify -0.5 into -0.5 17.696 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 17.696 * [taylor]: Taking taylor expansion of 1.0 in n 17.696 * [backup-simplify]: Simplify 1.0 into 1.0 17.696 * [taylor]: Taking taylor expansion of k in n 17.696 * [backup-simplify]: Simplify k into k 17.696 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 17.696 * [taylor]: Taking taylor expansion of (/ 1 n) in n 17.696 * [taylor]: Taking taylor expansion of n in n 17.696 * [backup-simplify]: Simplify 0 into 0 17.696 * [backup-simplify]: Simplify 1 into 1 17.696 * [backup-simplify]: Simplify (/ 1 1) into 1 17.697 * [backup-simplify]: Simplify (log 1) into 0 17.697 * [backup-simplify]: Simplify (- k) into (- k) 17.697 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 17.697 * [backup-simplify]: Simplify (* -0.5 (- 1.0 k)) into (* -0.5 (- 1.0 k)) 17.697 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 17.697 * [backup-simplify]: Simplify (* (* -0.5 (- 1.0 k)) (- (log n))) into (* 0.5 (* (- 1.0 k) (log n))) 17.697 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 17.698 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* -0.5 (- 1.0 k))) in n 17.698 * [taylor]: Taking taylor expansion of (exp (* (* -0.5 (- 1.0 k)) (log (/ 1 n)))) in n 17.698 * [taylor]: Taking taylor expansion of (* (* -0.5 (- 1.0 k)) (log (/ 1 n))) in n 17.698 * [taylor]: Taking taylor expansion of (* -0.5 (- 1.0 k)) in n 17.698 * [taylor]: Taking taylor expansion of -0.5 in n 17.698 * [backup-simplify]: Simplify -0.5 into -0.5 17.698 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 17.698 * [taylor]: Taking taylor expansion of 1.0 in n 17.698 * [backup-simplify]: Simplify 1.0 into 1.0 17.698 * [taylor]: Taking taylor expansion of k in n 17.698 * [backup-simplify]: Simplify k into k 17.698 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 17.698 * [taylor]: Taking taylor expansion of (/ 1 n) in n 17.698 * [taylor]: Taking taylor expansion of n in n 17.698 * [backup-simplify]: Simplify 0 into 0 17.698 * [backup-simplify]: Simplify 1 into 1 17.698 * [backup-simplify]: Simplify (/ 1 1) into 1 17.699 * [backup-simplify]: Simplify (log 1) into 0 17.699 * [backup-simplify]: Simplify (- k) into (- k) 17.699 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 17.699 * [backup-simplify]: Simplify (* -0.5 (- 1.0 k)) into (* -0.5 (- 1.0 k)) 17.699 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 17.699 * [backup-simplify]: Simplify (* (* -0.5 (- 1.0 k)) (- (log n))) into (* 0.5 (* (- 1.0 k) (log n))) 17.700 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 17.700 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 17.700 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 17.700 * [taylor]: Taking taylor expansion of 0.5 in k 17.700 * [backup-simplify]: Simplify 0.5 into 0.5 17.700 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 17.700 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 17.700 * [taylor]: Taking taylor expansion of 1.0 in k 17.700 * [backup-simplify]: Simplify 1.0 into 1.0 17.700 * [taylor]: Taking taylor expansion of k in k 17.700 * [backup-simplify]: Simplify 0 into 0 17.700 * [backup-simplify]: Simplify 1 into 1 17.700 * [taylor]: Taking taylor expansion of (log n) in k 17.700 * [taylor]: Taking taylor expansion of n in k 17.700 * [backup-simplify]: Simplify n into n 17.700 * [backup-simplify]: Simplify (log n) into (log n) 17.701 * [backup-simplify]: Simplify (- 0) into 0 17.701 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 17.701 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 17.701 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (log n))) into (* 0.5 (log n)) 17.701 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 17.702 * [backup-simplify]: Simplify (pow n 0.5) into (pow n 0.5) 17.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.704 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 17.704 * [backup-simplify]: Simplify (- 0) into 0 17.704 * [backup-simplify]: Simplify (+ 0 0) into 0 17.705 * [backup-simplify]: Simplify (+ (* -0.5 0) (* 0 (- 1.0 k))) into 0 17.705 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 17.705 * [backup-simplify]: Simplify (+ (* (* -0.5 (- 1.0 k)) 0) (* 0 (- (log n)))) into 0 17.706 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 17.706 * [taylor]: Taking taylor expansion of 0 in k 17.706 * [backup-simplify]: Simplify 0 into 0 17.706 * [backup-simplify]: Simplify 0 into 0 17.707 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 17.708 * [backup-simplify]: Simplify (- 1) into -1 17.708 * [backup-simplify]: Simplify (+ 0 -1) into -1 17.709 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (log n))) into (- (log n)) 17.709 * [backup-simplify]: Simplify (+ (* 0.5 (- (log n))) (* 0 (* 1.0 (log n)))) into (- (* 0.5 (log n))) 17.709 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 1) 1)))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 17.710 * [backup-simplify]: Simplify (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 17.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.714 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 17.714 * [backup-simplify]: Simplify (- 0) into 0 17.714 * [backup-simplify]: Simplify (+ 0 0) into 0 17.715 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 17.716 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 17.716 * [backup-simplify]: Simplify (+ (* (* -0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 17.718 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 17.718 * [taylor]: Taking taylor expansion of 0 in k 17.718 * [backup-simplify]: Simplify 0 into 0 17.718 * [backup-simplify]: Simplify 0 into 0 17.718 * [backup-simplify]: Simplify 0 into 0 17.720 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 17.720 * [backup-simplify]: Simplify (- 0) into 0 17.721 * [backup-simplify]: Simplify (+ 0 0) into 0 17.722 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (log n)))) into 0 17.722 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (log n))) (* 0 (* 1.0 (log n))))) into 0 17.723 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 17.724 * [backup-simplify]: Simplify (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 17.725 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) (* k 1)) (pow n 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) 17.725 * [backup-simplify]: Simplify (pow (/ 1 (/ 1 n)) (* -0.5 (- 1.0 (/ 1 k)))) into (pow n (* -0.5 (- 1.0 (/ 1 k)))) 17.726 * [approximate]: Taking taylor expansion of (pow n (* -0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 17.726 * [taylor]: Taking taylor expansion of (pow n (* -0.5 (- 1.0 (/ 1 k)))) in k 17.726 * [taylor]: Taking taylor expansion of (exp (* (* -0.5 (- 1.0 (/ 1 k))) (log n))) in k 17.726 * [taylor]: Taking taylor expansion of (* (* -0.5 (- 1.0 (/ 1 k))) (log n)) in k 17.726 * [taylor]: Taking taylor expansion of (* -0.5 (- 1.0 (/ 1 k))) in k 17.726 * [taylor]: Taking taylor expansion of -0.5 in k 17.726 * [backup-simplify]: Simplify -0.5 into -0.5 17.726 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 17.726 * [taylor]: Taking taylor expansion of 1.0 in k 17.726 * [backup-simplify]: Simplify 1.0 into 1.0 17.726 * [taylor]: Taking taylor expansion of (/ 1 k) in k 17.726 * [taylor]: Taking taylor expansion of k in k 17.726 * [backup-simplify]: Simplify 0 into 0 17.726 * [backup-simplify]: Simplify 1 into 1 17.726 * [backup-simplify]: Simplify (/ 1 1) into 1 17.727 * [taylor]: Taking taylor expansion of (log n) in k 17.727 * [taylor]: Taking taylor expansion of n in k 17.727 * [backup-simplify]: Simplify n into n 17.727 * [backup-simplify]: Simplify (log n) into (log n) 17.727 * [backup-simplify]: Simplify (- 1) into -1 17.727 * [backup-simplify]: Simplify (+ 0 -1) into -1 17.728 * [backup-simplify]: Simplify (* -0.5 -1) into 0.5 17.728 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 17.728 * [backup-simplify]: Simplify (exp (* (* -0.5 (- 1.0 (/ 1 k))) (log n))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 17.728 * [taylor]: Taking taylor expansion of (pow n (* -0.5 (- 1.0 (/ 1 k)))) in n 17.728 * [taylor]: Taking taylor expansion of (exp (* (* -0.5 (- 1.0 (/ 1 k))) (log n))) in n 17.728 * [taylor]: Taking taylor expansion of (* (* -0.5 (- 1.0 (/ 1 k))) (log n)) in n 17.728 * [taylor]: Taking taylor expansion of (* -0.5 (- 1.0 (/ 1 k))) in n 17.728 * [taylor]: Taking taylor expansion of -0.5 in n 17.728 * [backup-simplify]: Simplify -0.5 into -0.5 17.728 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 17.729 * [taylor]: Taking taylor expansion of 1.0 in n 17.729 * [backup-simplify]: Simplify 1.0 into 1.0 17.729 * [taylor]: Taking taylor expansion of (/ 1 k) in n 17.729 * [taylor]: Taking taylor expansion of k in n 17.729 * [backup-simplify]: Simplify k into k 17.729 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 17.729 * [taylor]: Taking taylor expansion of (log n) in n 17.729 * [taylor]: Taking taylor expansion of n in n 17.729 * [backup-simplify]: Simplify 0 into 0 17.729 * [backup-simplify]: Simplify 1 into 1 17.729 * [backup-simplify]: Simplify (log 1) into 0 17.729 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 17.729 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 17.730 * [backup-simplify]: Simplify (* -0.5 (- 1.0 (/ 1 k))) into (* -0.5 (- 1.0 (/ 1 k))) 17.730 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 17.730 * [backup-simplify]: Simplify (* (* -0.5 (- 1.0 (/ 1 k))) (log n)) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 17.730 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 17.730 * [taylor]: Taking taylor expansion of (pow n (* -0.5 (- 1.0 (/ 1 k)))) in n 17.731 * [taylor]: Taking taylor expansion of (exp (* (* -0.5 (- 1.0 (/ 1 k))) (log n))) in n 17.731 * [taylor]: Taking taylor expansion of (* (* -0.5 (- 1.0 (/ 1 k))) (log n)) in n 17.731 * [taylor]: Taking taylor expansion of (* -0.5 (- 1.0 (/ 1 k))) in n 17.731 * [taylor]: Taking taylor expansion of -0.5 in n 17.731 * [backup-simplify]: Simplify -0.5 into -0.5 17.731 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 17.731 * [taylor]: Taking taylor expansion of 1.0 in n 17.731 * [backup-simplify]: Simplify 1.0 into 1.0 17.731 * [taylor]: Taking taylor expansion of (/ 1 k) in n 17.731 * [taylor]: Taking taylor expansion of k in n 17.731 * [backup-simplify]: Simplify k into k 17.731 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 17.731 * [taylor]: Taking taylor expansion of (log n) in n 17.731 * [taylor]: Taking taylor expansion of n in n 17.731 * [backup-simplify]: Simplify 0 into 0 17.731 * [backup-simplify]: Simplify 1 into 1 17.731 * [backup-simplify]: Simplify (log 1) into 0 17.732 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 17.732 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 17.732 * [backup-simplify]: Simplify (* -0.5 (- 1.0 (/ 1 k))) into (* -0.5 (- 1.0 (/ 1 k))) 17.732 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 17.732 * [backup-simplify]: Simplify (* (* -0.5 (- 1.0 (/ 1 k))) (log n)) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 17.733 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 17.733 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in k 17.733 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in k 17.733 * [taylor]: Taking taylor expansion of -0.5 in k 17.733 * [backup-simplify]: Simplify -0.5 into -0.5 17.733 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 17.733 * [taylor]: Taking taylor expansion of (log n) in k 17.733 * [taylor]: Taking taylor expansion of n in k 17.733 * [backup-simplify]: Simplify n into n 17.733 * [backup-simplify]: Simplify (log n) into (log n) 17.733 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 17.733 * [taylor]: Taking taylor expansion of 1.0 in k 17.733 * [backup-simplify]: Simplify 1.0 into 1.0 17.733 * [taylor]: Taking taylor expansion of (/ 1 k) in k 17.733 * [taylor]: Taking taylor expansion of k in k 17.733 * [backup-simplify]: Simplify 0 into 0 17.733 * [backup-simplify]: Simplify 1 into 1 17.734 * [backup-simplify]: Simplify (/ 1 1) into 1 17.734 * [backup-simplify]: Simplify (- 1) into -1 17.734 * [backup-simplify]: Simplify (+ 0 -1) into -1 17.734 * [backup-simplify]: Simplify (* (log n) -1) into (* -1 (log n)) 17.735 * [backup-simplify]: Simplify (* -0.5 (* -1 (log n))) into (* 0.5 (log n)) 17.735 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 17.735 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 17.736 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 17.737 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 17.737 * [backup-simplify]: Simplify (- 0) into 0 17.737 * [backup-simplify]: Simplify (+ 0 0) into 0 17.738 * [backup-simplify]: Simplify (+ (* -0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 17.738 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 17.739 * [backup-simplify]: Simplify (+ (* (* -0.5 (- 1.0 (/ 1 k))) 0) (* 0 (log n))) into 0 17.739 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 17.740 * [taylor]: Taking taylor expansion of 0 in k 17.740 * [backup-simplify]: Simplify 0 into 0 17.740 * [backup-simplify]: Simplify 0 into 0 17.740 * [backup-simplify]: Simplify 0 into 0 17.753 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 17.753 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 17.753 * [backup-simplify]: Simplify (- 0) into 0 17.754 * [backup-simplify]: Simplify (+ 0 0) into 0 17.754 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 17.754 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 17.755 * [backup-simplify]: Simplify (+ (* (* -0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log n)))) into 0 17.756 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 17.756 * [taylor]: Taking taylor expansion of 0 in k 17.756 * [backup-simplify]: Simplify 0 into 0 17.756 * [backup-simplify]: Simplify 0 into 0 17.756 * [backup-simplify]: Simplify 0 into 0 17.756 * [backup-simplify]: Simplify 0 into 0 17.758 * [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 17.759 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 17.759 * [backup-simplify]: Simplify (- 0) into 0 17.759 * [backup-simplify]: Simplify (+ 0 0) into 0 17.760 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 17.760 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 17.761 * [backup-simplify]: Simplify (+ (* (* -0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log n))))) into 0 17.762 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 17.762 * [taylor]: Taking taylor expansion of 0 in k 17.762 * [backup-simplify]: Simplify 0 into 0 17.762 * [backup-simplify]: Simplify 0 into 0 17.762 * [backup-simplify]: Simplify (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) 17.762 * [backup-simplify]: Simplify (pow (/ 1 (/ 1 (- n))) (* -0.5 (- 1.0 (/ 1 (- k))))) into (pow (* -1 n) (* -0.5 (+ (/ 1 k) 1.0))) 17.762 * [approximate]: Taking taylor expansion of (pow (* -1 n) (* -0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 17.762 * [taylor]: Taking taylor expansion of (pow (* -1 n) (* -0.5 (+ (/ 1 k) 1.0))) in k 17.762 * [taylor]: Taking taylor expansion of (exp (* (* -0.5 (+ (/ 1 k) 1.0)) (log (* -1 n)))) in k 17.762 * [taylor]: Taking taylor expansion of (* (* -0.5 (+ (/ 1 k) 1.0)) (log (* -1 n))) in k 17.762 * [taylor]: Taking taylor expansion of (* -0.5 (+ (/ 1 k) 1.0)) in k 17.762 * [taylor]: Taking taylor expansion of -0.5 in k 17.762 * [backup-simplify]: Simplify -0.5 into -0.5 17.762 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 17.762 * [taylor]: Taking taylor expansion of (/ 1 k) in k 17.762 * [taylor]: Taking taylor expansion of k in k 17.762 * [backup-simplify]: Simplify 0 into 0 17.762 * [backup-simplify]: Simplify 1 into 1 17.763 * [backup-simplify]: Simplify (/ 1 1) into 1 17.763 * [taylor]: Taking taylor expansion of 1.0 in k 17.763 * [backup-simplify]: Simplify 1.0 into 1.0 17.763 * [taylor]: Taking taylor expansion of (log (* -1 n)) in k 17.763 * [taylor]: Taking taylor expansion of (* -1 n) in k 17.763 * [taylor]: Taking taylor expansion of -1 in k 17.763 * [backup-simplify]: Simplify -1 into -1 17.763 * [taylor]: Taking taylor expansion of n in k 17.763 * [backup-simplify]: Simplify n into n 17.763 * [backup-simplify]: Simplify (* -1 n) into (* -1 n) 17.763 * [backup-simplify]: Simplify (log (* -1 n)) into (log (* -1 n)) 17.763 * [backup-simplify]: Simplify (+ 1 0) into 1 17.763 * [backup-simplify]: Simplify (* -0.5 1) into -0.5 17.763 * [backup-simplify]: Simplify (* -0.5 (log (* -1 n))) into (* -0.5 (log (* -1 n))) 17.764 * [backup-simplify]: Simplify (exp (* (* -0.5 (+ (/ 1 k) 1.0)) (log (* -1 n)))) into (exp (* -0.5 (* (+ (/ 1 k) 1.0) (log (* -1 n))))) 17.764 * [taylor]: Taking taylor expansion of (pow (* -1 n) (* -0.5 (+ (/ 1 k) 1.0))) in n 17.764 * [taylor]: Taking taylor expansion of (exp (* (* -0.5 (+ (/ 1 k) 1.0)) (log (* -1 n)))) in n 17.764 * [taylor]: Taking taylor expansion of (* (* -0.5 (+ (/ 1 k) 1.0)) (log (* -1 n))) in n 17.764 * [taylor]: Taking taylor expansion of (* -0.5 (+ (/ 1 k) 1.0)) in n 17.764 * [taylor]: Taking taylor expansion of -0.5 in n 17.764 * [backup-simplify]: Simplify -0.5 into -0.5 17.764 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 17.764 * [taylor]: Taking taylor expansion of (/ 1 k) in n 17.764 * [taylor]: Taking taylor expansion of k in n 17.764 * [backup-simplify]: Simplify k into k 17.764 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 17.764 * [taylor]: Taking taylor expansion of 1.0 in n 17.764 * [backup-simplify]: Simplify 1.0 into 1.0 17.764 * [taylor]: Taking taylor expansion of (log (* -1 n)) in n 17.764 * [taylor]: Taking taylor expansion of (* -1 n) in n 17.764 * [taylor]: Taking taylor expansion of -1 in n 17.764 * [backup-simplify]: Simplify -1 into -1 17.764 * [taylor]: Taking taylor expansion of n in n 17.764 * [backup-simplify]: Simplify 0 into 0 17.764 * [backup-simplify]: Simplify 1 into 1 17.764 * [backup-simplify]: Simplify (* -1 0) into 0 17.765 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 17.765 * [backup-simplify]: Simplify (log -1) into (log -1) 17.765 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 17.765 * [backup-simplify]: Simplify (* -0.5 (+ (/ 1 k) 1.0)) into (* -0.5 (+ (/ 1 k) 1.0)) 17.765 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log -1)) into (+ (log -1) (log n)) 17.766 * [backup-simplify]: Simplify (* (* -0.5 (+ (/ 1 k) 1.0)) (+ (log -1) (log n))) into (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0))) 17.766 * [backup-simplify]: Simplify (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0)))) 17.766 * [taylor]: Taking taylor expansion of (pow (* -1 n) (* -0.5 (+ (/ 1 k) 1.0))) in n 17.766 * [taylor]: Taking taylor expansion of (exp (* (* -0.5 (+ (/ 1 k) 1.0)) (log (* -1 n)))) in n 17.766 * [taylor]: Taking taylor expansion of (* (* -0.5 (+ (/ 1 k) 1.0)) (log (* -1 n))) in n 17.766 * [taylor]: Taking taylor expansion of (* -0.5 (+ (/ 1 k) 1.0)) in n 17.766 * [taylor]: Taking taylor expansion of -0.5 in n 17.766 * [backup-simplify]: Simplify -0.5 into -0.5 17.766 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 17.766 * [taylor]: Taking taylor expansion of (/ 1 k) in n 17.766 * [taylor]: Taking taylor expansion of k in n 17.766 * [backup-simplify]: Simplify k into k 17.766 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 17.766 * [taylor]: Taking taylor expansion of 1.0 in n 17.766 * [backup-simplify]: Simplify 1.0 into 1.0 17.766 * [taylor]: Taking taylor expansion of (log (* -1 n)) in n 17.766 * [taylor]: Taking taylor expansion of (* -1 n) in n 17.766 * [taylor]: Taking taylor expansion of -1 in n 17.766 * [backup-simplify]: Simplify -1 into -1 17.766 * [taylor]: Taking taylor expansion of n in n 17.766 * [backup-simplify]: Simplify 0 into 0 17.767 * [backup-simplify]: Simplify 1 into 1 17.767 * [backup-simplify]: Simplify (* -1 0) into 0 17.767 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 17.767 * [backup-simplify]: Simplify (log -1) into (log -1) 17.767 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 17.768 * [backup-simplify]: Simplify (* -0.5 (+ (/ 1 k) 1.0)) into (* -0.5 (+ (/ 1 k) 1.0)) 17.768 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log -1)) into (+ (log -1) (log n)) 17.768 * [backup-simplify]: Simplify (* (* -0.5 (+ (/ 1 k) 1.0)) (+ (log -1) (log n))) into (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0))) 17.769 * [backup-simplify]: Simplify (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0)))) 17.769 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 17.769 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 17.769 * [taylor]: Taking taylor expansion of -0.5 in k 17.769 * [backup-simplify]: Simplify -0.5 into -0.5 17.769 * [taylor]: Taking taylor expansion of (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 17.769 * [taylor]: Taking taylor expansion of (+ (log -1) (log n)) in k 17.769 * [taylor]: Taking taylor expansion of (log -1) in k 17.769 * [taylor]: Taking taylor expansion of -1 in k 17.769 * [backup-simplify]: Simplify -1 into -1 17.769 * [backup-simplify]: Simplify (log -1) into (log -1) 17.769 * [taylor]: Taking taylor expansion of (log n) in k 17.769 * [taylor]: Taking taylor expansion of n in k 17.769 * [backup-simplify]: Simplify n into n 17.769 * [backup-simplify]: Simplify (log n) into (log n) 17.770 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 17.770 * [taylor]: Taking taylor expansion of (/ 1 k) in k 17.770 * [taylor]: Taking taylor expansion of k in k 17.770 * [backup-simplify]: Simplify 0 into 0 17.770 * [backup-simplify]: Simplify 1 into 1 17.770 * [backup-simplify]: Simplify (/ 1 1) into 1 17.770 * [taylor]: Taking taylor expansion of 1.0 in k 17.770 * [backup-simplify]: Simplify 1.0 into 1.0 17.770 * [backup-simplify]: Simplify (+ (log -1) (log n)) into (+ (log -1) (log n)) 17.771 * [backup-simplify]: Simplify (+ 1 0) into 1 17.771 * [backup-simplify]: Simplify (* (+ (log -1) (log n)) 1) into (+ (log -1) (log n)) 17.771 * [backup-simplify]: Simplify (* -0.5 (+ (log -1) (log n))) into (* -0.5 (+ (log -1) (log n))) 17.772 * [backup-simplify]: Simplify (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0)))) 17.772 * [backup-simplify]: Simplify (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0)))) 17.773 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 17.774 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 17.774 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 17.774 * [backup-simplify]: Simplify (+ 0 0) into 0 17.774 * [backup-simplify]: Simplify (+ (* -0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 17.775 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log -1)) into (+ (log -1) (log n)) 17.775 * [backup-simplify]: Simplify (+ (* (* -0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (+ (log -1) (log n)))) into 0 17.776 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 17.776 * [taylor]: Taking taylor expansion of 0 in k 17.776 * [backup-simplify]: Simplify 0 into 0 17.776 * [backup-simplify]: Simplify 0 into 0 17.776 * [backup-simplify]: Simplify 0 into 0 17.777 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 17.778 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 17.778 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 17.779 * [backup-simplify]: Simplify (+ 0 0) into 0 17.779 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 17.780 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log -1)) into (+ (log -1) (log n)) 17.780 * [backup-simplify]: Simplify (+ (* (* -0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (+ (log -1) (log n))))) into 0 17.781 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 17.781 * [taylor]: Taking taylor expansion of 0 in k 17.781 * [backup-simplify]: Simplify 0 into 0 17.781 * [backup-simplify]: Simplify 0 into 0 17.781 * [backup-simplify]: Simplify 0 into 0 17.781 * [backup-simplify]: Simplify 0 into 0 17.782 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 17.785 * [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 17.786 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 17.786 * [backup-simplify]: Simplify (+ 0 0) into 0 17.787 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 17.788 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log -1)) into (+ (log -1) (log n)) 17.790 * [backup-simplify]: Simplify (+ (* (* -0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log -1) (log n)))))) into 0 17.792 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 17.792 * [taylor]: Taking taylor expansion of 0 in k 17.792 * [backup-simplify]: Simplify 0 into 0 17.792 * [backup-simplify]: Simplify 0 into 0 17.793 * [backup-simplify]: Simplify (exp (* -0.5 (* (+ (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* -0.5 (* (- 1.0 k) (+ (log -1) (log (/ -1 n)))))) 17.793 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 17.793 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 17.793 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 17.793 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 17.793 * [taylor]: Taking taylor expansion of 1.0 in k 17.793 * [backup-simplify]: Simplify 1.0 into 1.0 17.793 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 17.793 * [taylor]: Taking taylor expansion of (/ 1 k) in k 17.793 * [taylor]: Taking taylor expansion of k in k 17.793 * [backup-simplify]: Simplify 0 into 0 17.793 * [backup-simplify]: Simplify 1 into 1 17.793 * [backup-simplify]: Simplify (/ 1 1) into 1 17.794 * [backup-simplify]: Simplify (sqrt 0) into 0 17.795 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 17.795 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 17.795 * [taylor]: Taking taylor expansion of 1.0 in k 17.795 * [backup-simplify]: Simplify 1.0 into 1.0 17.795 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 17.795 * [taylor]: Taking taylor expansion of (/ 1 k) in k 17.795 * [taylor]: Taking taylor expansion of k in k 17.795 * [backup-simplify]: Simplify 0 into 0 17.795 * [backup-simplify]: Simplify 1 into 1 17.795 * [backup-simplify]: Simplify (/ 1 1) into 1 17.795 * [backup-simplify]: Simplify (sqrt 0) into 0 17.796 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 17.796 * [backup-simplify]: Simplify (* 1.0 0) into 0 17.797 * [backup-simplify]: Simplify 0 into 0 17.797 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 17.798 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 17.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.800 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 17.801 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 17.801 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 17.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.804 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 17.805 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 17.805 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 17.806 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 17.806 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 17.806 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 17.806 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 17.806 * [taylor]: Taking taylor expansion of 1.0 in k 17.806 * [backup-simplify]: Simplify 1.0 into 1.0 17.806 * [taylor]: Taking taylor expansion of (sqrt k) in k 17.806 * [taylor]: Taking taylor expansion of k in k 17.806 * [backup-simplify]: Simplify 0 into 0 17.806 * [backup-simplify]: Simplify 1 into 1 17.807 * [backup-simplify]: Simplify (sqrt 0) into 0 17.807 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 17.807 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 17.807 * [taylor]: Taking taylor expansion of 1.0 in k 17.807 * [backup-simplify]: Simplify 1.0 into 1.0 17.807 * [taylor]: Taking taylor expansion of (sqrt k) in k 17.807 * [taylor]: Taking taylor expansion of k in k 17.807 * [backup-simplify]: Simplify 0 into 0 17.807 * [backup-simplify]: Simplify 1 into 1 17.808 * [backup-simplify]: Simplify (sqrt 0) into 0 17.808 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 17.809 * [backup-simplify]: Simplify (* 1.0 0) into 0 17.809 * [backup-simplify]: Simplify 0 into 0 17.810 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 17.810 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 17.812 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 17.813 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 17.813 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 17.815 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 17.816 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 17.817 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 17.818 * [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)))))))) 17.818 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 17.818 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 17.818 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 17.818 * [taylor]: Taking taylor expansion of 1.0 in k 17.818 * [backup-simplify]: Simplify 1.0 into 1.0 17.818 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 17.818 * [taylor]: Taking taylor expansion of (/ -1 k) in k 17.818 * [taylor]: Taking taylor expansion of -1 in k 17.818 * [backup-simplify]: Simplify -1 into -1 17.818 * [taylor]: Taking taylor expansion of k in k 17.818 * [backup-simplify]: Simplify 0 into 0 17.818 * [backup-simplify]: Simplify 1 into 1 17.818 * [backup-simplify]: Simplify (/ -1 1) into -1 17.818 * [backup-simplify]: Simplify (sqrt 0) into 0 17.819 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 17.819 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 17.819 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 17.819 * [taylor]: Taking taylor expansion of 1.0 in k 17.819 * [backup-simplify]: Simplify 1.0 into 1.0 17.819 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 17.819 * [taylor]: Taking taylor expansion of (/ -1 k) in k 17.819 * [taylor]: Taking taylor expansion of -1 in k 17.820 * [backup-simplify]: Simplify -1 into -1 17.820 * [taylor]: Taking taylor expansion of k in k 17.820 * [backup-simplify]: Simplify 0 into 0 17.820 * [backup-simplify]: Simplify 1 into 1 17.820 * [backup-simplify]: Simplify (/ -1 1) into -1 17.820 * [backup-simplify]: Simplify (sqrt 0) into 0 17.821 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 17.821 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 17.821 * [backup-simplify]: Simplify +nan.0 into +nan.0 17.822 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 17.824 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 17.826 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 17.826 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 17.827 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.831 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 17.835 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 17.835 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 17.836 * [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))))) 17.836 * * * * [progress]: [ 3 / 4 ] generating series at (2) 17.838 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (/ 1 n) (* -0.5 (- 1.0 k)))))) into (* 1.0 (* (sqrt (/ 1 k)) (* (pow (/ 1 n) (* -0.5 (- 1.0 k))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2)))) 17.838 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (/ 1 n) (* -0.5 (- 1.0 k))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2)))) in (k n) around 0 17.838 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (/ 1 n) (* -0.5 (- 1.0 k))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2)))) in n 17.838 * [taylor]: Taking taylor expansion of 1.0 in n 17.838 * [backup-simplify]: Simplify 1.0 into 1.0 17.838 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (/ 1 n) (* -0.5 (- 1.0 k))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2))) in n 17.838 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 17.838 * [taylor]: Taking taylor expansion of (/ 1 k) in n 17.838 * [taylor]: Taking taylor expansion of k in n 17.839 * [backup-simplify]: Simplify k into k 17.839 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 17.839 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 17.839 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 17.839 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 17.839 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* -0.5 (- 1.0 k))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2)) in n 17.839 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* -0.5 (- 1.0 k))) in n 17.839 * [taylor]: Taking taylor expansion of (exp (* (* -0.5 (- 1.0 k)) (log (/ 1 n)))) in n 17.839 * [taylor]: Taking taylor expansion of (* (* -0.5 (- 1.0 k)) (log (/ 1 n))) in n 17.839 * [taylor]: Taking taylor expansion of (* -0.5 (- 1.0 k)) in n 17.839 * [taylor]: Taking taylor expansion of -0.5 in n 17.839 * [backup-simplify]: Simplify -0.5 into -0.5 17.839 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 17.839 * [taylor]: Taking taylor expansion of 1.0 in n 17.839 * [backup-simplify]: Simplify 1.0 into 1.0 17.839 * [taylor]: Taking taylor expansion of k in n 17.839 * [backup-simplify]: Simplify k into k 17.839 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 17.839 * [taylor]: Taking taylor expansion of (/ 1 n) in n 17.839 * [taylor]: Taking taylor expansion of n in n 17.839 * [backup-simplify]: Simplify 0 into 0 17.839 * [backup-simplify]: Simplify 1 into 1 17.840 * [backup-simplify]: Simplify (/ 1 1) into 1 17.840 * [backup-simplify]: Simplify (log 1) into 0 17.840 * [backup-simplify]: Simplify (- k) into (- k) 17.840 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 17.840 * [backup-simplify]: Simplify (* -0.5 (- 1.0 k)) into (* -0.5 (- 1.0 k)) 17.841 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 17.841 * [backup-simplify]: Simplify (* (* -0.5 (- 1.0 k)) (- (log n))) into (* 0.5 (* (- 1.0 k) (log n))) 17.841 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 17.841 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2) in n 17.841 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) in n 17.841 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI)))) in n 17.841 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI))) in n 17.841 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 17.841 * [taylor]: Taking taylor expansion of 0.25 in n 17.841 * [backup-simplify]: Simplify 0.25 into 0.25 17.842 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 17.842 * [taylor]: Taking taylor expansion of 1.0 in n 17.842 * [backup-simplify]: Simplify 1.0 into 1.0 17.842 * [taylor]: Taking taylor expansion of k in n 17.842 * [backup-simplify]: Simplify k into k 17.842 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 17.842 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 17.842 * [taylor]: Taking taylor expansion of 2.0 in n 17.842 * [backup-simplify]: Simplify 2.0 into 2.0 17.842 * [taylor]: Taking taylor expansion of PI in n 17.842 * [backup-simplify]: Simplify PI into PI 17.842 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 17.843 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 17.843 * [backup-simplify]: Simplify (- k) into (- k) 17.843 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 17.844 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 17.845 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI))) into (* 0.25 (* (- 1.0 k) (log (* 2.0 PI)))) 17.846 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) into (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) 17.846 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (/ 1 n) (* -0.5 (- 1.0 k))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2)))) in k 17.846 * [taylor]: Taking taylor expansion of 1.0 in k 17.846 * [backup-simplify]: Simplify 1.0 into 1.0 17.846 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (/ 1 n) (* -0.5 (- 1.0 k))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2))) in k 17.846 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 17.846 * [taylor]: Taking taylor expansion of (/ 1 k) in k 17.846 * [taylor]: Taking taylor expansion of k in k 17.846 * [backup-simplify]: Simplify 0 into 0 17.846 * [backup-simplify]: Simplify 1 into 1 17.847 * [backup-simplify]: Simplify (/ 1 1) into 1 17.847 * [backup-simplify]: Simplify (sqrt 0) into 0 17.848 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 17.848 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* -0.5 (- 1.0 k))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2)) in k 17.848 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* -0.5 (- 1.0 k))) in k 17.848 * [taylor]: Taking taylor expansion of (exp (* (* -0.5 (- 1.0 k)) (log (/ 1 n)))) in k 17.848 * [taylor]: Taking taylor expansion of (* (* -0.5 (- 1.0 k)) (log (/ 1 n))) in k 17.848 * [taylor]: Taking taylor expansion of (* -0.5 (- 1.0 k)) in k 17.848 * [taylor]: Taking taylor expansion of -0.5 in k 17.848 * [backup-simplify]: Simplify -0.5 into -0.5 17.848 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 17.848 * [taylor]: Taking taylor expansion of 1.0 in k 17.848 * [backup-simplify]: Simplify 1.0 into 1.0 17.848 * [taylor]: Taking taylor expansion of k in k 17.849 * [backup-simplify]: Simplify 0 into 0 17.849 * [backup-simplify]: Simplify 1 into 1 17.849 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 17.849 * [taylor]: Taking taylor expansion of (/ 1 n) in k 17.849 * [taylor]: Taking taylor expansion of n in k 17.849 * [backup-simplify]: Simplify n into n 17.849 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 17.849 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 17.849 * [backup-simplify]: Simplify (- 0) into 0 17.850 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 17.850 * [backup-simplify]: Simplify (* -0.5 1.0) into -0.5 17.850 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 17.850 * [backup-simplify]: Simplify (exp (* -0.5 (log (/ 1 n)))) into (pow (/ 1 n) -0.5) 17.850 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2) in k 17.850 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) in k 17.850 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI)))) in k 17.850 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI))) in k 17.851 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 17.851 * [taylor]: Taking taylor expansion of 0.25 in k 17.851 * [backup-simplify]: Simplify 0.25 into 0.25 17.851 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 17.851 * [taylor]: Taking taylor expansion of 1.0 in k 17.851 * [backup-simplify]: Simplify 1.0 into 1.0 17.851 * [taylor]: Taking taylor expansion of k in k 17.851 * [backup-simplify]: Simplify 0 into 0 17.851 * [backup-simplify]: Simplify 1 into 1 17.851 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 17.851 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 17.851 * [taylor]: Taking taylor expansion of 2.0 in k 17.851 * [backup-simplify]: Simplify 2.0 into 2.0 17.851 * [taylor]: Taking taylor expansion of PI in k 17.851 * [backup-simplify]: Simplify PI into PI 17.851 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 17.852 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 17.853 * [backup-simplify]: Simplify (- 0) into 0 17.853 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 17.854 * [backup-simplify]: Simplify (* 0.25 1.0) into 0.25 17.865 * [backup-simplify]: Simplify (* 0.25 (log (* 2.0 PI))) into (* 0.25 (log (* 2.0 PI))) 17.868 * [backup-simplify]: Simplify (exp (* 0.25 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.25) 17.868 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (/ 1 n) (* -0.5 (- 1.0 k))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2)))) in k 17.868 * [taylor]: Taking taylor expansion of 1.0 in k 17.868 * [backup-simplify]: Simplify 1.0 into 1.0 17.868 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (/ 1 n) (* -0.5 (- 1.0 k))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2))) in k 17.868 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 17.868 * [taylor]: Taking taylor expansion of (/ 1 k) in k 17.868 * [taylor]: Taking taylor expansion of k in k 17.868 * [backup-simplify]: Simplify 0 into 0 17.868 * [backup-simplify]: Simplify 1 into 1 17.869 * [backup-simplify]: Simplify (/ 1 1) into 1 17.869 * [backup-simplify]: Simplify (sqrt 0) into 0 17.870 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 17.870 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* -0.5 (- 1.0 k))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2)) in k 17.870 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* -0.5 (- 1.0 k))) in k 17.870 * [taylor]: Taking taylor expansion of (exp (* (* -0.5 (- 1.0 k)) (log (/ 1 n)))) in k 17.870 * [taylor]: Taking taylor expansion of (* (* -0.5 (- 1.0 k)) (log (/ 1 n))) in k 17.871 * [taylor]: Taking taylor expansion of (* -0.5 (- 1.0 k)) in k 17.871 * [taylor]: Taking taylor expansion of -0.5 in k 17.871 * [backup-simplify]: Simplify -0.5 into -0.5 17.871 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 17.871 * [taylor]: Taking taylor expansion of 1.0 in k 17.871 * [backup-simplify]: Simplify 1.0 into 1.0 17.871 * [taylor]: Taking taylor expansion of k in k 17.871 * [backup-simplify]: Simplify 0 into 0 17.871 * [backup-simplify]: Simplify 1 into 1 17.871 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 17.871 * [taylor]: Taking taylor expansion of (/ 1 n) in k 17.871 * [taylor]: Taking taylor expansion of n in k 17.871 * [backup-simplify]: Simplify n into n 17.871 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 17.871 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 17.872 * [backup-simplify]: Simplify (- 0) into 0 17.872 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 17.873 * [backup-simplify]: Simplify (* -0.5 1.0) into -0.5 17.873 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 17.873 * [backup-simplify]: Simplify (exp (* -0.5 (log (/ 1 n)))) into (pow (/ 1 n) -0.5) 17.873 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2) in k 17.873 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) in k 17.873 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI)))) in k 17.873 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI))) in k 17.873 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 17.873 * [taylor]: Taking taylor expansion of 0.25 in k 17.873 * [backup-simplify]: Simplify 0.25 into 0.25 17.873 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 17.873 * [taylor]: Taking taylor expansion of 1.0 in k 17.873 * [backup-simplify]: Simplify 1.0 into 1.0 17.873 * [taylor]: Taking taylor expansion of k in k 17.873 * [backup-simplify]: Simplify 0 into 0 17.873 * [backup-simplify]: Simplify 1 into 1 17.873 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 17.873 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 17.873 * [taylor]: Taking taylor expansion of 2.0 in k 17.873 * [backup-simplify]: Simplify 2.0 into 2.0 17.873 * [taylor]: Taking taylor expansion of PI in k 17.873 * [backup-simplify]: Simplify PI into PI 17.874 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 17.874 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 17.874 * [backup-simplify]: Simplify (- 0) into 0 17.875 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 17.875 * [backup-simplify]: Simplify (* 0.25 1.0) into 0.25 17.876 * [backup-simplify]: Simplify (* 0.25 (log (* 2.0 PI))) into (* 0.25 (log (* 2.0 PI))) 17.880 * [backup-simplify]: Simplify (exp (* 0.25 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.25) 17.882 * [backup-simplify]: Simplify (* (pow (* 2.0 PI) 0.25) (pow (* 2.0 PI) 0.25)) into (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) 17.884 * [backup-simplify]: Simplify (* (pow (/ 1 n) -0.5) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) 17.885 * [backup-simplify]: Simplify (* 0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) into 0 17.885 * [backup-simplify]: Simplify (* 1.0 0) into 0 17.885 * [taylor]: Taking taylor expansion of 0 in n 17.885 * [backup-simplify]: Simplify 0 into 0 17.885 * [backup-simplify]: Simplify 0 into 0 17.885 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 17.886 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 17.887 * [backup-simplify]: Simplify (- 1) into -1 17.887 * [backup-simplify]: Simplify (+ 0 -1) into -1 17.888 * [backup-simplify]: Simplify (+ (* 0.25 -1) (* 0 1.0)) into (- 0.25) 17.890 * [backup-simplify]: Simplify (+ (* 0.25 0) (* (- 0.25) (log (* 2.0 PI)))) into (- (* 0.25 (log (* 2.0 PI)))) 17.897 * [backup-simplify]: Simplify (* (exp (* 0.25 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.25 (log (* 2.0 PI)))) 1) 1)))) into (* -0.25 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25))) 17.910 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 PI) 0.25) (* -0.25 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25)))) (* (* -0.25 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25))) (pow (* 2.0 PI) 0.25))) into (- (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) 17.911 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 17.911 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 n) 1)))) 1) into 0 17.911 * [backup-simplify]: Simplify (- 1) into -1 17.912 * [backup-simplify]: Simplify (+ 0 -1) into -1 17.913 * [backup-simplify]: Simplify (+ (* -0.5 -1) (* 0 1.0)) into 0.5 17.913 * [backup-simplify]: Simplify (+ (* -0.5 0) (* 0.5 (log (/ 1 n)))) into (* 0.5 (log (/ 1 n))) 17.913 * [backup-simplify]: Simplify (* (exp (* -0.5 (log (/ 1 n)))) (+ (* (/ (pow (* 0.5 (log (/ 1 n))) 1) 1)))) into (* 0.5 (* (log (/ 1 n)) (pow (pow n 1.0) 0.5))) 17.926 * [backup-simplify]: Simplify (+ (* (pow (/ 1 n) -0.5) (- (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) (* (* 0.5 (* (log (/ 1 n)) (pow (pow n 1.0) 0.5))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) into (- (* 0.5 (* (log (/ 1 n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) 17.931 * [backup-simplify]: Simplify (+ (* 0 (- (* 0.5 (* (log (/ 1 n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (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))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 17.933 * [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))) 17.933 * [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 17.933 * [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 17.933 * [taylor]: Taking taylor expansion of +nan.0 in n 17.933 * [backup-simplify]: Simplify +nan.0 into +nan.0 17.933 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 17.933 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 17.933 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 17.933 * [taylor]: Taking taylor expansion of 0.5 in n 17.933 * [backup-simplify]: Simplify 0.5 into 0.5 17.933 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 17.933 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 17.933 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 17.933 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 17.933 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 17.933 * [taylor]: Taking taylor expansion of 1.0 in n 17.933 * [backup-simplify]: Simplify 1.0 into 1.0 17.933 * [taylor]: Taking taylor expansion of (log PI) in n 17.933 * [taylor]: Taking taylor expansion of PI in n 17.933 * [backup-simplify]: Simplify PI into PI 17.934 * [backup-simplify]: Simplify (log PI) into (log PI) 17.935 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 17.936 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 17.936 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 17.936 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 17.936 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 17.936 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 17.936 * [taylor]: Taking taylor expansion of 1.0 in n 17.936 * [backup-simplify]: Simplify 1.0 into 1.0 17.937 * [taylor]: Taking taylor expansion of (log n) in n 17.937 * [taylor]: Taking taylor expansion of n in n 17.937 * [backup-simplify]: Simplify 0 into 0 17.937 * [backup-simplify]: Simplify 1 into 1 17.937 * [backup-simplify]: Simplify (log 1) into 0 17.937 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 17.937 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 17.938 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 17.938 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 17.938 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 17.938 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 17.938 * [taylor]: Taking taylor expansion of 1.0 in n 17.938 * [backup-simplify]: Simplify 1.0 into 1.0 17.938 * [taylor]: Taking taylor expansion of (log 2.0) in n 17.938 * [taylor]: Taking taylor expansion of 2.0 in n 17.938 * [backup-simplify]: Simplify 2.0 into 2.0 17.938 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 17.939 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 17.941 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 17.941 * [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) 17.942 * [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) 17.944 * [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)) 17.945 * [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))) 17.946 * [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) 17.948 * [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)) 17.949 * [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))) 17.951 * [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))) 17.951 * [backup-simplify]: Simplify 0 into 0 17.952 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 17.955 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 17.956 * [backup-simplify]: Simplify (- 0) into 0 17.956 * [backup-simplify]: Simplify (+ 0 0) into 0 17.957 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 -1) (* 0 1.0))) into 0 17.959 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* (- 0.25) 0) (* 0 (log (* 2.0 PI))))) into 0 17.976 * [backup-simplify]: Simplify (* (exp (* 0.25 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.25 (log (* 2.0 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.03125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25))) 18.034 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 PI) 0.25) (* 0.03125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25)))) (+ (* (* -0.25 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25))) (* -0.25 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25)))) (* (* 0.03125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25))) (pow (* 2.0 PI) 0.25)))) into (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 18.035 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 18.037 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 n) 1)))) 2) into 0 18.037 * [backup-simplify]: Simplify (- 0) into 0 18.037 * [backup-simplify]: Simplify (+ 0 0) into 0 18.038 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 18.038 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0.5 0) (* 0 (log (/ 1 n))))) into 0 18.039 * [backup-simplify]: Simplify (* (exp (* -0.5 (log (/ 1 n)))) (+ (* (/ (pow (* 0.5 (log (/ 1 n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log (/ 1 n)) 2) (pow (pow n 1.0) 0.5))) 18.051 * [backup-simplify]: Simplify (+ (* (pow (/ 1 n) -0.5) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (+ (* (* 0.5 (* (log (/ 1 n)) (pow (pow n 1.0) 0.5))) (- (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) (* (* 0.125 (* (pow (log (/ 1 n)) 2) (pow (pow n 1.0) 0.5))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) into (- (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.125 (* (pow (log (/ 1 n)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (* 0.25 (* (* (log (* 2.0 PI)) (log (/ 1 n))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) 18.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.054 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 18.062 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.125 (* (pow (log (/ 1 n)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (* 0.25 (* (* (log (* 2.0 PI)) (log (/ 1 n))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) (+ (* +nan.0 (- (* 0.5 (* (log (/ 1 n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (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)))) 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 (/ 1 n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 18.071 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +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 (/ 1 n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0))) 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 (/ 1 n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 18.071 * [taylor]: Taking taylor expansion of (- (+ (* +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 (/ 1 n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) in n 18.071 * [taylor]: Taking taylor expansion of (+ (* +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 (/ 1 n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))) in n 18.071 * [taylor]: Taking taylor expansion of (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 18.071 * [taylor]: Taking taylor expansion of +nan.0 in n 18.071 * [backup-simplify]: Simplify +nan.0 into +nan.0 18.071 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 18.071 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 18.071 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 18.071 * [taylor]: Taking taylor expansion of 2.0 in n 18.071 * [backup-simplify]: Simplify 2.0 into 2.0 18.071 * [taylor]: Taking taylor expansion of PI in n 18.071 * [backup-simplify]: Simplify PI into PI 18.071 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 18.073 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 18.073 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 18.073 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 18.073 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 18.073 * [taylor]: Taking taylor expansion of 0.5 in n 18.073 * [backup-simplify]: Simplify 0.5 into 0.5 18.073 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 18.073 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 18.073 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 18.073 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 18.073 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 18.073 * [taylor]: Taking taylor expansion of 1.0 in n 18.073 * [backup-simplify]: Simplify 1.0 into 1.0 18.073 * [taylor]: Taking taylor expansion of (log PI) in n 18.073 * [taylor]: Taking taylor expansion of PI in n 18.073 * [backup-simplify]: Simplify PI into PI 18.074 * [backup-simplify]: Simplify (log PI) into (log PI) 18.075 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 18.076 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 18.076 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 18.076 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 18.076 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 18.076 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 18.076 * [taylor]: Taking taylor expansion of 1.0 in n 18.076 * [backup-simplify]: Simplify 1.0 into 1.0 18.076 * [taylor]: Taking taylor expansion of (log n) in n 18.076 * [taylor]: Taking taylor expansion of n in n 18.077 * [backup-simplify]: Simplify 0 into 0 18.077 * [backup-simplify]: Simplify 1 into 1 18.077 * [backup-simplify]: Simplify (log 1) into 0 18.077 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 18.077 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 18.078 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 18.078 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 18.078 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 18.078 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 18.078 * [taylor]: Taking taylor expansion of 1.0 in n 18.078 * [backup-simplify]: Simplify 1.0 into 1.0 18.078 * [taylor]: Taking taylor expansion of (log 2.0) in n 18.078 * [taylor]: Taking taylor expansion of 2.0 in n 18.078 * [backup-simplify]: Simplify 2.0 into 2.0 18.078 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 18.079 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 18.081 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 18.081 * [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) 18.083 * [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) 18.084 * [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)) 18.085 * [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))) 18.086 * [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) 18.086 * [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 (* (log (/ 1 n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))) in n 18.086 * [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 (* (log (/ 1 n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) in n 18.086 * [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 18.086 * [taylor]: Taking taylor expansion of +nan.0 in n 18.086 * [backup-simplify]: Simplify +nan.0 into +nan.0 18.086 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 18.086 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 18.086 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 18.086 * [taylor]: Taking taylor expansion of 0.5 in n 18.086 * [backup-simplify]: Simplify 0.5 into 0.5 18.086 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 18.086 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 18.086 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 18.086 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 18.086 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 18.086 * [taylor]: Taking taylor expansion of 1.0 in n 18.086 * [backup-simplify]: Simplify 1.0 into 1.0 18.086 * [taylor]: Taking taylor expansion of (log PI) in n 18.086 * [taylor]: Taking taylor expansion of PI in n 18.086 * [backup-simplify]: Simplify PI into PI 18.087 * [backup-simplify]: Simplify (log PI) into (log PI) 18.087 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 18.088 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 18.088 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 18.088 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 18.088 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 18.088 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 18.088 * [taylor]: Taking taylor expansion of 1.0 in n 18.088 * [backup-simplify]: Simplify 1.0 into 1.0 18.088 * [taylor]: Taking taylor expansion of (log n) in n 18.088 * [taylor]: Taking taylor expansion of n in n 18.088 * [backup-simplify]: Simplify 0 into 0 18.088 * [backup-simplify]: Simplify 1 into 1 18.089 * [backup-simplify]: Simplify (log 1) into 0 18.089 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 18.089 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 18.089 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 18.089 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 18.089 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 18.089 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 18.089 * [taylor]: Taking taylor expansion of 1.0 in n 18.089 * [backup-simplify]: Simplify 1.0 into 1.0 18.089 * [taylor]: Taking taylor expansion of (log 2.0) in n 18.089 * [taylor]: Taking taylor expansion of 2.0 in n 18.089 * [backup-simplify]: Simplify 2.0 into 2.0 18.089 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 18.090 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 18.091 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 18.091 * [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) 18.092 * [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) 18.093 * [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)) 18.094 * [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))) 18.095 * [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) 18.095 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (log (/ 1 n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) in n 18.095 * [taylor]: Taking taylor expansion of (* +nan.0 (* (log (/ 1 n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 18.095 * [taylor]: Taking taylor expansion of +nan.0 in n 18.095 * [backup-simplify]: Simplify +nan.0 into +nan.0 18.095 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 18.095 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 18.095 * [taylor]: Taking taylor expansion of (/ 1 n) in n 18.095 * [taylor]: Taking taylor expansion of n in n 18.095 * [backup-simplify]: Simplify 0 into 0 18.095 * [backup-simplify]: Simplify 1 into 1 18.095 * [backup-simplify]: Simplify (/ 1 1) into 1 18.095 * [backup-simplify]: Simplify (log 1) into 0 18.095 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 18.095 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 18.095 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 18.095 * [taylor]: Taking taylor expansion of 0.5 in n 18.095 * [backup-simplify]: Simplify 0.5 into 0.5 18.095 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 18.095 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 18.095 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 18.095 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 18.095 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 18.095 * [taylor]: Taking taylor expansion of 1.0 in n 18.096 * [backup-simplify]: Simplify 1.0 into 1.0 18.096 * [taylor]: Taking taylor expansion of (log PI) in n 18.096 * [taylor]: Taking taylor expansion of PI in n 18.096 * [backup-simplify]: Simplify PI into PI 18.096 * [backup-simplify]: Simplify (log PI) into (log PI) 18.096 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 18.097 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 18.097 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 18.097 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 18.097 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 18.097 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 18.097 * [taylor]: Taking taylor expansion of 1.0 in n 18.098 * [backup-simplify]: Simplify 1.0 into 1.0 18.098 * [taylor]: Taking taylor expansion of (log n) in n 18.098 * [taylor]: Taking taylor expansion of n in n 18.098 * [backup-simplify]: Simplify 0 into 0 18.098 * [backup-simplify]: Simplify 1 into 1 18.098 * [backup-simplify]: Simplify (log 1) into 0 18.098 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 18.098 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 18.098 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 18.098 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 18.098 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 18.098 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 18.098 * [taylor]: Taking taylor expansion of 1.0 in n 18.098 * [backup-simplify]: Simplify 1.0 into 1.0 18.098 * [taylor]: Taking taylor expansion of (log 2.0) in n 18.098 * [taylor]: Taking taylor expansion of 2.0 in n 18.098 * [backup-simplify]: Simplify 2.0 into 2.0 18.099 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 18.099 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 18.100 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 18.100 * [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) 18.101 * [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) 18.102 * [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)) 18.103 * [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))) 18.104 * [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) 18.105 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (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 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 18.107 * [backup-simplify]: Simplify (* +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 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 18.108 * [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)) 18.108 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 18.109 * [backup-simplify]: Simplify (* (- (log n)) (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 (* -1 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) 18.110 * [backup-simplify]: Simplify (* +nan.0 (* -1 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)))) into (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) 18.117 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)))) into (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) 18.119 * [backup-simplify]: Simplify (+ (* +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))))) 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)))))) 18.121 * [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))))))) into (- (+ (* +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)))))) 18.124 * [backup-simplify]: Simplify (+ (* +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 (* (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))))))) 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 (* (log n) (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))))))) 18.128 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (log (* 2.0 PI)) (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))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 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 (* 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)))))))) 18.131 * [backup-simplify]: Simplify (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 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 (* (log n) (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))))))) 18.132 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 18.133 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 18.135 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 18.136 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 18.137 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 18.137 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 18.138 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 18.139 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 18.141 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 18.141 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 18.143 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 18.144 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0 18.146 * [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 18.148 * [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 18.150 * [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 18.152 * [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 18.153 * [backup-simplify]: Simplify (- 0) into 0 18.153 * [backup-simplify]: Simplify 0 into 0 18.153 * [backup-simplify]: Simplify 0 into 0 18.154 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 18.160 * [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 18.161 * [backup-simplify]: Simplify (- 0) into 0 18.161 * [backup-simplify]: Simplify (+ 0 0) into 0 18.163 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 18.165 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* (- 0.25) 0) (+ (* 0 0) (* 0 (log (* 2.0 PI)))))) into 0 18.185 * [backup-simplify]: Simplify (* (exp (* 0.25 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.25 (log (* 2.0 PI)))) 3) 6)) (* (/ (pow (- (* 0.25 (log (* 2.0 PI)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.0026041666666666665 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25))) 18.270 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 PI) 0.25) (* -0.0026041666666666665 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25)))) (+ (* (* -0.25 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25))) (* 0.03125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25)))) (+ (* (* 0.03125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25))) (* -0.25 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25)))) (* (* -0.0026041666666666665 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25))) (pow (* 2.0 PI) 0.25))))) into (- (* 0.020833333333333332 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) 18.271 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 18.272 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 n) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 n) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 n) 1)))) 6) into 0 18.273 * [backup-simplify]: Simplify (- 0) into 0 18.273 * [backup-simplify]: Simplify (+ 0 0) into 0 18.274 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 18.275 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0.5 0) (+ (* 0 0) (* 0 (log (/ 1 n)))))) into 0 18.276 * [backup-simplify]: Simplify (* (exp (* -0.5 (log (/ 1 n)))) (+ (* (/ (pow (* 0.5 (log (/ 1 n))) 3) 6)) (* (/ (pow (* 0.5 (log (/ 1 n))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 0.020833333333333332 (* (pow (log (/ 1 n)) 3) (pow (pow n 1.0) 0.5))) 18.294 * [backup-simplify]: Simplify (+ (* (pow (/ 1 n) -0.5) (- (* 0.020833333333333332 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) (+ (* (* 0.5 (* (log (/ 1 n)) (pow (pow n 1.0) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (+ (* (* 0.125 (* (pow (log (/ 1 n)) 2) (pow (pow n 1.0) 0.5))) (- (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) (* (* 0.020833333333333332 (* (pow (log (/ 1 n)) 3) (pow (pow n 1.0) 0.5))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) into (- (+ (* 0.0625 (* (* (pow (log (* 2.0 PI)) 2) (log (/ 1 n))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.020833333333333332 (* (pow (log (/ 1 n)) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (+ (* 0.0625 (* (* (pow (log (/ 1 n)) 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.020833333333333332 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) 18.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.297 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 18.316 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 0.0625 (* (* (pow (log (* 2.0 PI)) 2) (log (/ 1 n))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.020833333333333332 (* (pow (log (/ 1 n)) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (+ (* 0.0625 (* (* (pow (log (/ 1 n)) 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.020833333333333332 (* (pow (log (* 2.0 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 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.125 (* (pow (log (/ 1 n)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (* 0.25 (* (* (log (* 2.0 PI)) (log (/ 1 n))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) (+ (* +nan.0 (- (* 0.5 (* (log (/ 1 n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (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))))) into (- (+ (* +nan.0 (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)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (/ 1 n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (/ 1 n)) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (pow (log (/ 1 n)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) 18.343 * [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 (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)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (/ 1 n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (/ 1 n)) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (pow (log (/ 1 n)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))))))))) (+ (* 0 (- (+ (* +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 (/ 1 n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))) (+ (* 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 (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)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (/ 1 n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (/ 1 n)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log (/ 1 n))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) 18.343 * [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 (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)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (/ 1 n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (/ 1 n)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log (/ 1 n))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) in n 18.343 * [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 (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)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (/ 1 n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (/ 1 n)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log (/ 1 n))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))))))) in n 18.344 * [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 18.344 * [taylor]: Taking taylor expansion of +nan.0 in n 18.344 * [backup-simplify]: Simplify +nan.0 into +nan.0 18.344 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 18.344 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 18.344 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 18.344 * [taylor]: Taking taylor expansion of 0.5 in n 18.344 * [backup-simplify]: Simplify 0.5 into 0.5 18.344 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 18.344 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 18.344 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 18.344 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 18.344 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 18.344 * [taylor]: Taking taylor expansion of 1.0 in n 18.344 * [backup-simplify]: Simplify 1.0 into 1.0 18.344 * [taylor]: Taking taylor expansion of (log 2.0) in n 18.344 * [taylor]: Taking taylor expansion of 2.0 in n 18.344 * [backup-simplify]: Simplify 2.0 into 2.0 18.345 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 18.346 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 18.347 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 18.347 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 18.347 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 18.347 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 18.347 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 18.347 * [taylor]: Taking taylor expansion of 1.0 in n 18.347 * [backup-simplify]: Simplify 1.0 into 1.0 18.347 * [taylor]: Taking taylor expansion of (log n) in n 18.347 * [taylor]: Taking taylor expansion of n in n 18.347 * [backup-simplify]: Simplify 0 into 0 18.347 * [backup-simplify]: Simplify 1 into 1 18.348 * [backup-simplify]: Simplify (log 1) into 0 18.348 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 18.348 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 18.348 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 18.348 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 18.348 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 18.348 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 18.348 * [taylor]: Taking taylor expansion of 1.0 in n 18.349 * [backup-simplify]: Simplify 1.0 into 1.0 18.349 * [taylor]: Taking taylor expansion of (log PI) in n 18.349 * [taylor]: Taking taylor expansion of PI in n 18.349 * [backup-simplify]: Simplify PI into PI 18.349 * [backup-simplify]: Simplify (log PI) into (log PI) 18.350 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 18.352 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 18.352 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 18.354 * [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) 18.355 * [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)) 18.356 * [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))) 18.358 * [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) 18.358 * [taylor]: Taking taylor expansion of (- (+ (* +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)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (/ 1 n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (/ 1 n)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log (/ 1 n))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))) in n 18.358 * [taylor]: Taking taylor expansion of (+ (* +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)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (/ 1 n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (/ 1 n)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log (/ 1 n))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))))) in n 18.358 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 18.358 * [taylor]: Taking taylor expansion of +nan.0 in n 18.358 * [backup-simplify]: Simplify +nan.0 into +nan.0 18.358 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 18.358 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 PI)) 2) in n 18.358 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 18.358 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 18.358 * [taylor]: Taking taylor expansion of 2.0 in n 18.358 * [backup-simplify]: Simplify 2.0 into 2.0 18.358 * [taylor]: Taking taylor expansion of PI in n 18.358 * [backup-simplify]: Simplify PI into PI 18.359 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 18.360 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 18.360 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 18.360 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 18.360 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 18.360 * [taylor]: Taking taylor expansion of 0.5 in n 18.360 * [backup-simplify]: Simplify 0.5 into 0.5 18.360 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 18.360 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 18.360 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 18.360 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 18.360 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 18.360 * [taylor]: Taking taylor expansion of 1.0 in n 18.360 * [backup-simplify]: Simplify 1.0 into 1.0 18.360 * [taylor]: Taking taylor expansion of (log PI) in n 18.360 * [taylor]: Taking taylor expansion of PI in n 18.360 * [backup-simplify]: Simplify PI into PI 18.361 * [backup-simplify]: Simplify (log PI) into (log PI) 18.362 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 18.364 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 18.364 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 18.364 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 18.364 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 18.364 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 18.364 * [taylor]: Taking taylor expansion of 1.0 in n 18.364 * [backup-simplify]: Simplify 1.0 into 1.0 18.364 * [taylor]: Taking taylor expansion of (log n) in n 18.364 * [taylor]: Taking taylor expansion of n in n 18.364 * [backup-simplify]: Simplify 0 into 0 18.364 * [backup-simplify]: Simplify 1 into 1 18.364 * [backup-simplify]: Simplify (log 1) into 0 18.365 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 18.365 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 18.365 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 18.365 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 18.365 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 18.365 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 18.365 * [taylor]: Taking taylor expansion of 1.0 in n 18.365 * [backup-simplify]: Simplify 1.0 into 1.0 18.365 * [taylor]: Taking taylor expansion of (log 2.0) in n 18.365 * [taylor]: Taking taylor expansion of 2.0 in n 18.365 * [backup-simplify]: Simplify 2.0 into 2.0 18.366 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 18.367 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 18.368 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 18.369 * [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) 18.370 * [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) 18.371 * [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)) 18.373 * [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))) 18.374 * [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) 18.374 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (/ 1 n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (/ 1 n)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log (/ 1 n))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))) in n 18.375 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (/ 1 n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (/ 1 n)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log (/ 1 n))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))) in n 18.375 * [taylor]: Taking taylor expansion of (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 18.375 * [taylor]: Taking taylor expansion of +nan.0 in n 18.375 * [backup-simplify]: Simplify +nan.0 into +nan.0 18.375 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 18.375 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 18.375 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 18.375 * [taylor]: Taking taylor expansion of 2.0 in n 18.375 * [backup-simplify]: Simplify 2.0 into 2.0 18.375 * [taylor]: Taking taylor expansion of PI in n 18.375 * [backup-simplify]: Simplify PI into PI 18.375 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 18.376 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 18.376 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 18.376 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 18.377 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 18.377 * [taylor]: Taking taylor expansion of 0.5 in n 18.377 * [backup-simplify]: Simplify 0.5 into 0.5 18.377 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 18.377 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 18.377 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 18.377 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 18.377 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 18.377 * [taylor]: Taking taylor expansion of 1.0 in n 18.377 * [backup-simplify]: Simplify 1.0 into 1.0 18.377 * [taylor]: Taking taylor expansion of (log PI) in n 18.377 * [taylor]: Taking taylor expansion of PI in n 18.377 * [backup-simplify]: Simplify PI into PI 18.377 * [backup-simplify]: Simplify (log PI) into (log PI) 18.378 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 18.380 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 18.380 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 18.380 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 18.380 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 18.380 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 18.380 * [taylor]: Taking taylor expansion of 1.0 in n 18.380 * [backup-simplify]: Simplify 1.0 into 1.0 18.380 * [taylor]: Taking taylor expansion of (log n) in n 18.380 * [taylor]: Taking taylor expansion of n in n 18.380 * [backup-simplify]: Simplify 0 into 0 18.380 * [backup-simplify]: Simplify 1 into 1 18.381 * [backup-simplify]: Simplify (log 1) into 0 18.381 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 18.381 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 18.381 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 18.381 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 18.381 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 18.381 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 18.381 * [taylor]: Taking taylor expansion of 1.0 in n 18.381 * [backup-simplify]: Simplify 1.0 into 1.0 18.381 * [taylor]: Taking taylor expansion of (log 2.0) in n 18.381 * [taylor]: Taking taylor expansion of 2.0 in n 18.382 * [backup-simplify]: Simplify 2.0 into 2.0 18.382 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 18.391 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 18.393 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 18.393 * [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) 18.395 * [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) 18.396 * [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)) 18.397 * [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))) 18.399 * [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) 18.399 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (log (/ 1 n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (/ 1 n)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log (/ 1 n))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) in n 18.399 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (log (/ 1 n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (/ 1 n)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log (/ 1 n))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))) in n 18.399 * [taylor]: Taking taylor expansion of (* +nan.0 (* (log (/ 1 n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 18.399 * [taylor]: Taking taylor expansion of +nan.0 in n 18.399 * [backup-simplify]: Simplify +nan.0 into +nan.0 18.399 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 18.399 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 18.399 * [taylor]: Taking taylor expansion of (/ 1 n) in n 18.399 * [taylor]: Taking taylor expansion of n in n 18.399 * [backup-simplify]: Simplify 0 into 0 18.399 * [backup-simplify]: Simplify 1 into 1 18.400 * [backup-simplify]: Simplify (/ 1 1) into 1 18.400 * [backup-simplify]: Simplify (log 1) into 0 18.400 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 18.400 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 18.400 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 18.400 * [taylor]: Taking taylor expansion of 0.5 in n 18.400 * [backup-simplify]: Simplify 0.5 into 0.5 18.400 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 18.400 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 18.400 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 18.400 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 18.400 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 18.400 * [taylor]: Taking taylor expansion of 1.0 in n 18.400 * [backup-simplify]: Simplify 1.0 into 1.0 18.401 * [taylor]: Taking taylor expansion of (log PI) in n 18.401 * [taylor]: Taking taylor expansion of PI in n 18.401 * [backup-simplify]: Simplify PI into PI 18.401 * [backup-simplify]: Simplify (log PI) into (log PI) 18.402 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 18.404 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 18.404 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 18.404 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 18.404 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 18.404 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 18.404 * [taylor]: Taking taylor expansion of 1.0 in n 18.404 * [backup-simplify]: Simplify 1.0 into 1.0 18.404 * [taylor]: Taking taylor expansion of (log n) in n 18.404 * [taylor]: Taking taylor expansion of n in n 18.404 * [backup-simplify]: Simplify 0 into 0 18.404 * [backup-simplify]: Simplify 1 into 1 18.404 * [backup-simplify]: Simplify (log 1) into 0 18.405 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 18.405 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 18.405 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 18.405 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 18.405 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 18.405 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 18.405 * [taylor]: Taking taylor expansion of 1.0 in n 18.405 * [backup-simplify]: Simplify 1.0 into 1.0 18.405 * [taylor]: Taking taylor expansion of (log 2.0) in n 18.405 * [taylor]: Taking taylor expansion of 2.0 in n 18.405 * [backup-simplify]: Simplify 2.0 into 2.0 18.406 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 18.407 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 18.408 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 18.409 * [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) 18.410 * [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) 18.411 * [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)) 18.413 * [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))) 18.414 * [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) 18.414 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (log (/ 1 n)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log (/ 1 n))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))) in n 18.414 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (log (/ 1 n)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log (/ 1 n))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) in n 18.414 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (log (/ 1 n)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 18.414 * [taylor]: Taking taylor expansion of +nan.0 in n 18.414 * [backup-simplify]: Simplify +nan.0 into +nan.0 18.414 * [taylor]: Taking taylor expansion of (* (pow (log (/ 1 n)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 18.414 * [taylor]: Taking taylor expansion of (pow (log (/ 1 n)) 2) in n 18.414 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 18.414 * [taylor]: Taking taylor expansion of (/ 1 n) in n 18.414 * [taylor]: Taking taylor expansion of n in n 18.414 * [backup-simplify]: Simplify 0 into 0 18.414 * [backup-simplify]: Simplify 1 into 1 18.415 * [backup-simplify]: Simplify (/ 1 1) into 1 18.415 * [backup-simplify]: Simplify (log 1) into 0 18.416 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 18.416 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 18.416 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 18.416 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 18.416 * [taylor]: Taking taylor expansion of 0.5 in n 18.416 * [backup-simplify]: Simplify 0.5 into 0.5 18.416 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 18.416 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 18.416 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 18.416 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 18.416 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 18.416 * [taylor]: Taking taylor expansion of 1.0 in n 18.416 * [backup-simplify]: Simplify 1.0 into 1.0 18.416 * [taylor]: Taking taylor expansion of (log PI) in n 18.416 * [taylor]: Taking taylor expansion of PI in n 18.416 * [backup-simplify]: Simplify PI into PI 18.416 * [backup-simplify]: Simplify (log PI) into (log PI) 18.418 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 18.419 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 18.419 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 18.419 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 18.419 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 18.419 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 18.419 * [taylor]: Taking taylor expansion of 1.0 in n 18.419 * [backup-simplify]: Simplify 1.0 into 1.0 18.419 * [taylor]: Taking taylor expansion of (log n) in n 18.419 * [taylor]: Taking taylor expansion of n in n 18.419 * [backup-simplify]: Simplify 0 into 0 18.419 * [backup-simplify]: Simplify 1 into 1 18.420 * [backup-simplify]: Simplify (log 1) into 0 18.420 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 18.420 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 18.421 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 18.421 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 18.421 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 18.421 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 18.421 * [taylor]: Taking taylor expansion of 1.0 in n 18.421 * [backup-simplify]: Simplify 1.0 into 1.0 18.421 * [taylor]: Taking taylor expansion of (log 2.0) in n 18.421 * [taylor]: Taking taylor expansion of 2.0 in n 18.421 * [backup-simplify]: Simplify 2.0 into 2.0 18.421 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 18.422 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 18.424 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 18.425 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 18.426 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 18.428 * [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)) 18.429 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 18.431 * [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) 18.431 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (log (* 2.0 PI)) (log (/ 1 n))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) in n 18.431 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (log (* 2.0 PI)) (log (/ 1 n))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 18.431 * [taylor]: Taking taylor expansion of +nan.0 in n 18.431 * [backup-simplify]: Simplify +nan.0 into +nan.0 18.431 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 PI)) (log (/ 1 n))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 18.431 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (log (/ 1 n))) in n 18.431 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 18.431 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 18.431 * [taylor]: Taking taylor expansion of 2.0 in n 18.431 * [backup-simplify]: Simplify 2.0 into 2.0 18.431 * [taylor]: Taking taylor expansion of PI in n 18.431 * [backup-simplify]: Simplify PI into PI 18.432 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 18.433 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 18.433 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 18.433 * [taylor]: Taking taylor expansion of (/ 1 n) in n 18.433 * [taylor]: Taking taylor expansion of n in n 18.433 * [backup-simplify]: Simplify 0 into 0 18.433 * [backup-simplify]: Simplify 1 into 1 18.433 * [backup-simplify]: Simplify (/ 1 1) into 1 18.434 * [backup-simplify]: Simplify (log 1) into 0 18.434 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 18.434 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 18.434 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 18.434 * [taylor]: Taking taylor expansion of 0.5 in n 18.434 * [backup-simplify]: Simplify 0.5 into 0.5 18.434 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 18.434 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 18.434 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 18.434 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 18.434 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 18.434 * [taylor]: Taking taylor expansion of 1.0 in n 18.434 * [backup-simplify]: Simplify 1.0 into 1.0 18.434 * [taylor]: Taking taylor expansion of (log PI) in n 18.434 * [taylor]: Taking taylor expansion of PI in n 18.434 * [backup-simplify]: Simplify PI into PI 18.435 * [backup-simplify]: Simplify (log PI) into (log PI) 18.436 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 18.438 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 18.438 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 18.438 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 18.438 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 18.438 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 18.438 * [taylor]: Taking taylor expansion of 1.0 in n 18.438 * [backup-simplify]: Simplify 1.0 into 1.0 18.438 * [taylor]: Taking taylor expansion of (log n) in n 18.438 * [taylor]: Taking taylor expansion of n in n 18.438 * [backup-simplify]: Simplify 0 into 0 18.438 * [backup-simplify]: Simplify 1 into 1 18.438 * [backup-simplify]: Simplify (log 1) into 0 18.439 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 18.439 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 18.439 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 18.439 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 18.439 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 18.439 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 18.439 * [taylor]: Taking taylor expansion of 1.0 in n 18.439 * [backup-simplify]: Simplify 1.0 into 1.0 18.439 * [taylor]: Taking taylor expansion of (log 2.0) in n 18.439 * [taylor]: Taking taylor expansion of 2.0 in n 18.439 * [backup-simplify]: Simplify 2.0 into 2.0 18.440 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 18.440 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 18.442 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 18.443 * [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) 18.444 * [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) 18.445 * [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)) 18.447 * [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))) 18.448 * [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) 18.450 * [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)) 18.453 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (log (* 2.0 PI))) into (pow (log (* 2.0 PI)) 2) 18.456 * [backup-simplify]: Simplify (* (pow (log (* 2.0 PI)) 2) (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 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 18.459 * [backup-simplify]: Simplify (* +nan.0 (* (pow (log (* 2.0 PI)) 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))) 18.462 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (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 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 18.464 * [backup-simplify]: Simplify (* +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 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 18.465 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 18.466 * [backup-simplify]: Simplify (* (- (log n)) (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 (* -1 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) 18.468 * [backup-simplify]: Simplify (* +nan.0 (* -1 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)))) into (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) 18.468 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 18.469 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 18.469 * [backup-simplify]: Simplify (* (- (log n)) (- (log n))) into (pow (log n) 2) 18.470 * [backup-simplify]: Simplify (* (pow (log n) 2) (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 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2)) 18.472 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) into (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 18.472 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 18.474 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (- (log n))) into (* -1 (* (log (* 2.0 PI)) (log n))) 18.476 * [backup-simplify]: Simplify (* (* -1 (* (log (* 2.0 PI)) (log n))) (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 (* -1 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) 18.479 * [backup-simplify]: Simplify (* +nan.0 (* -1 (* (* (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 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) 18.481 * [backup-simplify]: Simplify (- (* +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 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))) 18.486 * [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)) (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 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))) 18.491 * [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)) (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 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))) 18.498 * [backup-simplify]: Simplify (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +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)) (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 (* (* (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)))))))) 18.505 * [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)) (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 (* (* (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)))))))) 18.514 * [backup-simplify]: Simplify (+ (* +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 n) 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 (* (log (* 2.0 PI)) (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))) (- (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))) 18.525 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (log (* 2.0 PI)) (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))) (- (* +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 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))))) 18.539 * [backup-simplify]: Simplify (+ (* +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 (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 (* (* (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 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))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (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)))))))))))) 18.564 * [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 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))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (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)) (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)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))))))) 18.580 * [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)) (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)) (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 (* (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 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))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))))))))) 18.598 * [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 (* (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 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))) (- (* +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)) (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 (* (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)))))))))))))) 18.616 * [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 (* (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 (* (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)))))))))))))) 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 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 n) (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)))))))))))))) 18.637 * [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 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 n) (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)))))))))))))) (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 (* (log n) (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))))))) (* 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)) (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 k 2) (log (* 2.0 PI))) (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 (* (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)))))))))))))))))))))) 18.638 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 k))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 (/ 1 k)) 2.0) 2)) (* (pow (* 2.0 PI) (/ (/ (- 1.0 (/ 1 k)) 2.0) 2)) (pow (/ 1 (/ 1 n)) (* -0.5 (- 1.0 (/ 1 k))))))) into (* 1.0 (* (sqrt k) (* (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2) (pow n (* -0.5 (- 1.0 (/ 1 k))))))) 18.638 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2) (pow n (* -0.5 (- 1.0 (/ 1 k))))))) in (k n) around 0 18.638 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2) (pow n (* -0.5 (- 1.0 (/ 1 k))))))) in n 18.638 * [taylor]: Taking taylor expansion of 1.0 in n 18.638 * [backup-simplify]: Simplify 1.0 into 1.0 18.638 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2) (pow n (* -0.5 (- 1.0 (/ 1 k)))))) in n 18.638 * [taylor]: Taking taylor expansion of (sqrt k) in n 18.638 * [taylor]: Taking taylor expansion of k in n 18.638 * [backup-simplify]: Simplify k into k 18.638 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 18.638 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 18.638 * [taylor]: Taking taylor expansion of (* (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2) (pow n (* -0.5 (- 1.0 (/ 1 k))))) in n 18.638 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2) in n 18.638 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) in n 18.638 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in n 18.638 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in n 18.639 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 18.639 * [taylor]: Taking taylor expansion of 0.25 in n 18.639 * [backup-simplify]: Simplify 0.25 into 0.25 18.639 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 18.639 * [taylor]: Taking taylor expansion of 1.0 in n 18.639 * [backup-simplify]: Simplify 1.0 into 1.0 18.639 * [taylor]: Taking taylor expansion of (/ 1 k) in n 18.639 * [taylor]: Taking taylor expansion of k in n 18.639 * [backup-simplify]: Simplify k into k 18.639 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 18.639 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 18.639 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 18.639 * [taylor]: Taking taylor expansion of 2.0 in n 18.639 * [backup-simplify]: Simplify 2.0 into 2.0 18.639 * [taylor]: Taking taylor expansion of PI in n 18.639 * [backup-simplify]: Simplify PI into PI 18.639 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 18.640 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 18.640 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 18.640 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 18.640 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 18.641 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) into (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) 18.642 * [backup-simplify]: Simplify (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 18.642 * [taylor]: Taking taylor expansion of (pow n (* -0.5 (- 1.0 (/ 1 k)))) in n 18.642 * [taylor]: Taking taylor expansion of (exp (* (* -0.5 (- 1.0 (/ 1 k))) (log n))) in n 18.642 * [taylor]: Taking taylor expansion of (* (* -0.5 (- 1.0 (/ 1 k))) (log n)) in n 18.642 * [taylor]: Taking taylor expansion of (* -0.5 (- 1.0 (/ 1 k))) in n 18.642 * [taylor]: Taking taylor expansion of -0.5 in n 18.642 * [backup-simplify]: Simplify -0.5 into -0.5 18.642 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 18.642 * [taylor]: Taking taylor expansion of 1.0 in n 18.642 * [backup-simplify]: Simplify 1.0 into 1.0 18.642 * [taylor]: Taking taylor expansion of (/ 1 k) in n 18.642 * [taylor]: Taking taylor expansion of k in n 18.642 * [backup-simplify]: Simplify k into k 18.642 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 18.642 * [taylor]: Taking taylor expansion of (log n) in n 18.642 * [taylor]: Taking taylor expansion of n in n 18.642 * [backup-simplify]: Simplify 0 into 0 18.642 * [backup-simplify]: Simplify 1 into 1 18.642 * [backup-simplify]: Simplify (log 1) into 0 18.642 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 18.642 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 18.642 * [backup-simplify]: Simplify (* -0.5 (- 1.0 (/ 1 k))) into (* -0.5 (- 1.0 (/ 1 k))) 18.643 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 18.643 * [backup-simplify]: Simplify (* (* -0.5 (- 1.0 (/ 1 k))) (log n)) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 18.643 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 18.643 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2) (pow n (* -0.5 (- 1.0 (/ 1 k))))))) in k 18.643 * [taylor]: Taking taylor expansion of 1.0 in k 18.643 * [backup-simplify]: Simplify 1.0 into 1.0 18.643 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2) (pow n (* -0.5 (- 1.0 (/ 1 k)))))) in k 18.643 * [taylor]: Taking taylor expansion of (sqrt k) in k 18.643 * [taylor]: Taking taylor expansion of k in k 18.643 * [backup-simplify]: Simplify 0 into 0 18.643 * [backup-simplify]: Simplify 1 into 1 18.643 * [backup-simplify]: Simplify (sqrt 0) into 0 18.644 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 18.644 * [taylor]: Taking taylor expansion of (* (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2) (pow n (* -0.5 (- 1.0 (/ 1 k))))) in k 18.644 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2) in k 18.644 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) in k 18.644 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 18.644 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 18.644 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 18.644 * [taylor]: Taking taylor expansion of 0.25 in k 18.644 * [backup-simplify]: Simplify 0.25 into 0.25 18.644 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 18.644 * [taylor]: Taking taylor expansion of 1.0 in k 18.644 * [backup-simplify]: Simplify 1.0 into 1.0 18.644 * [taylor]: Taking taylor expansion of (/ 1 k) in k 18.644 * [taylor]: Taking taylor expansion of k in k 18.644 * [backup-simplify]: Simplify 0 into 0 18.644 * [backup-simplify]: Simplify 1 into 1 18.645 * [backup-simplify]: Simplify (/ 1 1) into 1 18.645 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 18.645 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 18.645 * [taylor]: Taking taylor expansion of 2.0 in k 18.645 * [backup-simplify]: Simplify 2.0 into 2.0 18.645 * [taylor]: Taking taylor expansion of PI in k 18.645 * [backup-simplify]: Simplify PI into PI 18.645 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 18.646 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 18.646 * [backup-simplify]: Simplify (- 1) into -1 18.646 * [backup-simplify]: Simplify (+ 0 -1) into -1 18.646 * [backup-simplify]: Simplify (* 0.25 -1) into -0.25 18.647 * [backup-simplify]: Simplify (* -0.25 (log (* 2.0 PI))) into (* -0.25 (log (* 2.0 PI))) 18.648 * [backup-simplify]: Simplify (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 18.648 * [taylor]: Taking taylor expansion of (pow n (* -0.5 (- 1.0 (/ 1 k)))) in k 18.648 * [taylor]: Taking taylor expansion of (exp (* (* -0.5 (- 1.0 (/ 1 k))) (log n))) in k 18.648 * [taylor]: Taking taylor expansion of (* (* -0.5 (- 1.0 (/ 1 k))) (log n)) in k 18.648 * [taylor]: Taking taylor expansion of (* -0.5 (- 1.0 (/ 1 k))) in k 18.648 * [taylor]: Taking taylor expansion of -0.5 in k 18.648 * [backup-simplify]: Simplify -0.5 into -0.5 18.648 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 18.648 * [taylor]: Taking taylor expansion of 1.0 in k 18.648 * [backup-simplify]: Simplify 1.0 into 1.0 18.648 * [taylor]: Taking taylor expansion of (/ 1 k) in k 18.648 * [taylor]: Taking taylor expansion of k in k 18.648 * [backup-simplify]: Simplify 0 into 0 18.648 * [backup-simplify]: Simplify 1 into 1 18.649 * [backup-simplify]: Simplify (/ 1 1) into 1 18.649 * [taylor]: Taking taylor expansion of (log n) in k 18.649 * [taylor]: Taking taylor expansion of n in k 18.649 * [backup-simplify]: Simplify n into n 18.649 * [backup-simplify]: Simplify (log n) into (log n) 18.649 * [backup-simplify]: Simplify (- 1) into -1 18.649 * [backup-simplify]: Simplify (+ 0 -1) into -1 18.649 * [backup-simplify]: Simplify (* -0.5 -1) into 0.5 18.650 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 18.650 * [backup-simplify]: Simplify (exp (* (* -0.5 (- 1.0 (/ 1 k))) (log n))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 18.650 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2) (pow n (* -0.5 (- 1.0 (/ 1 k))))))) in k 18.650 * [taylor]: Taking taylor expansion of 1.0 in k 18.650 * [backup-simplify]: Simplify 1.0 into 1.0 18.650 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2) (pow n (* -0.5 (- 1.0 (/ 1 k)))))) in k 18.650 * [taylor]: Taking taylor expansion of (sqrt k) in k 18.650 * [taylor]: Taking taylor expansion of k in k 18.650 * [backup-simplify]: Simplify 0 into 0 18.650 * [backup-simplify]: Simplify 1 into 1 18.650 * [backup-simplify]: Simplify (sqrt 0) into 0 18.651 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 18.651 * [taylor]: Taking taylor expansion of (* (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2) (pow n (* -0.5 (- 1.0 (/ 1 k))))) in k 18.651 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2) in k 18.651 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) in k 18.651 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 18.651 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 18.651 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 18.651 * [taylor]: Taking taylor expansion of 0.25 in k 18.651 * [backup-simplify]: Simplify 0.25 into 0.25 18.651 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 18.651 * [taylor]: Taking taylor expansion of 1.0 in k 18.651 * [backup-simplify]: Simplify 1.0 into 1.0 18.651 * [taylor]: Taking taylor expansion of (/ 1 k) in k 18.651 * [taylor]: Taking taylor expansion of k in k 18.651 * [backup-simplify]: Simplify 0 into 0 18.651 * [backup-simplify]: Simplify 1 into 1 18.651 * [backup-simplify]: Simplify (/ 1 1) into 1 18.651 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 18.651 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 18.651 * [taylor]: Taking taylor expansion of 2.0 in k 18.651 * [backup-simplify]: Simplify 2.0 into 2.0 18.651 * [taylor]: Taking taylor expansion of PI in k 18.651 * [backup-simplify]: Simplify PI into PI 18.652 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 18.652 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 18.653 * [backup-simplify]: Simplify (- 1) into -1 18.653 * [backup-simplify]: Simplify (+ 0 -1) into -1 18.653 * [backup-simplify]: Simplify (* 0.25 -1) into -0.25 18.654 * [backup-simplify]: Simplify (* -0.25 (log (* 2.0 PI))) into (* -0.25 (log (* 2.0 PI))) 18.655 * [backup-simplify]: Simplify (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 18.655 * [taylor]: Taking taylor expansion of (pow n (* -0.5 (- 1.0 (/ 1 k)))) in k 18.655 * [taylor]: Taking taylor expansion of (exp (* (* -0.5 (- 1.0 (/ 1 k))) (log n))) in k 18.655 * [taylor]: Taking taylor expansion of (* (* -0.5 (- 1.0 (/ 1 k))) (log n)) in k 18.655 * [taylor]: Taking taylor expansion of (* -0.5 (- 1.0 (/ 1 k))) in k 18.655 * [taylor]: Taking taylor expansion of -0.5 in k 18.655 * [backup-simplify]: Simplify -0.5 into -0.5 18.655 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 18.655 * [taylor]: Taking taylor expansion of 1.0 in k 18.655 * [backup-simplify]: Simplify 1.0 into 1.0 18.655 * [taylor]: Taking taylor expansion of (/ 1 k) in k 18.655 * [taylor]: Taking taylor expansion of k in k 18.655 * [backup-simplify]: Simplify 0 into 0 18.655 * [backup-simplify]: Simplify 1 into 1 18.655 * [backup-simplify]: Simplify (/ 1 1) into 1 18.655 * [taylor]: Taking taylor expansion of (log n) in k 18.655 * [taylor]: Taking taylor expansion of n in k 18.655 * [backup-simplify]: Simplify n into n 18.655 * [backup-simplify]: Simplify (log n) into (log n) 18.656 * [backup-simplify]: Simplify (- 1) into -1 18.656 * [backup-simplify]: Simplify (+ 0 -1) into -1 18.656 * [backup-simplify]: Simplify (* -0.5 -1) into 0.5 18.656 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 18.657 * [backup-simplify]: Simplify (exp (* (* -0.5 (- 1.0 (/ 1 k))) (log n))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 18.659 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2) 18.661 * [backup-simplify]: Simplify (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2) (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k)))))) into (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) 18.662 * [backup-simplify]: Simplify (* 0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))) into 0 18.663 * [backup-simplify]: Simplify (* 1.0 0) into 0 18.663 * [taylor]: Taking taylor expansion of 0 in n 18.663 * [backup-simplify]: Simplify 0 into 0 18.663 * [backup-simplify]: Simplify 0 into 0 18.665 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into 0 18.667 * [backup-simplify]: Simplify (+ (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2) 0) (* 0 (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))))) into 0 18.669 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) into (- (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) 18.671 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))))) (* 0 0)) into (- (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) 18.671 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) in n 18.671 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))) in n 18.671 * [taylor]: Taking taylor expansion of +nan.0 in n 18.671 * [backup-simplify]: Simplify +nan.0 into +nan.0 18.671 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) in n 18.671 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in n 18.671 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in n 18.671 * [taylor]: Taking taylor expansion of -0.5 in n 18.671 * [backup-simplify]: Simplify -0.5 into -0.5 18.671 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in n 18.671 * [taylor]: Taking taylor expansion of (log n) in n 18.671 * [taylor]: Taking taylor expansion of n in n 18.671 * [backup-simplify]: Simplify 0 into 0 18.671 * [backup-simplify]: Simplify 1 into 1 18.672 * [backup-simplify]: Simplify (log 1) into 0 18.672 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 18.672 * [taylor]: Taking taylor expansion of 1.0 in n 18.672 * [backup-simplify]: Simplify 1.0 into 1.0 18.672 * [taylor]: Taking taylor expansion of (/ 1 k) in n 18.672 * [taylor]: Taking taylor expansion of k in n 18.672 * [backup-simplify]: Simplify k into k 18.672 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 18.672 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 18.672 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 18.673 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 18.673 * [backup-simplify]: Simplify (* (log n) (- 1.0 (/ 1 k))) into (* (log n) (- 1.0 (/ 1 k))) 18.673 * [backup-simplify]: Simplify (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 18.673 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 18.673 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2) in n 18.673 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 18.673 * [taylor]: Taking taylor expansion of (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 18.673 * [taylor]: Taking taylor expansion of 0.25 in n 18.673 * [backup-simplify]: Simplify 0.25 into 0.25 18.673 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 18.673 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 18.673 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 18.673 * [taylor]: Taking taylor expansion of 2.0 in n 18.674 * [backup-simplify]: Simplify 2.0 into 2.0 18.674 * [taylor]: Taking taylor expansion of PI in n 18.674 * [backup-simplify]: Simplify PI into PI 18.674 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 18.675 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 18.675 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 18.675 * [taylor]: Taking taylor expansion of 1.0 in n 18.675 * [backup-simplify]: Simplify 1.0 into 1.0 18.675 * [taylor]: Taking taylor expansion of (/ 1 k) in n 18.675 * [taylor]: Taking taylor expansion of k in n 18.675 * [backup-simplify]: Simplify k into k 18.675 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 18.676 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 18.676 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 18.677 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) into (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) 18.678 * [backup-simplify]: Simplify (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) into (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) 18.679 * [backup-simplify]: Simplify (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 18.682 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2) 18.683 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) into (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) 18.685 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))) into (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))) 18.687 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) into (- (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) 18.697 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) into (- (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) 18.697 * [backup-simplify]: Simplify 0 into 0 18.700 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) into 0 18.701 * [backup-simplify]: Simplify (+ (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2) 0) (+ (* 0 0) (* 0 (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k)))))))) into 0 18.703 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 18.705 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))))) into (- (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) 18.707 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))))) (+ (* 0 (- (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))))) (* 0 0))) into (- (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) 18.707 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) in n 18.707 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))) in n 18.708 * [taylor]: Taking taylor expansion of +nan.0 in n 18.708 * [backup-simplify]: Simplify +nan.0 into +nan.0 18.708 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) in n 18.708 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in n 18.708 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in n 18.708 * [taylor]: Taking taylor expansion of -0.5 in n 18.708 * [backup-simplify]: Simplify -0.5 into -0.5 18.708 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in n 18.708 * [taylor]: Taking taylor expansion of (log n) in n 18.708 * [taylor]: Taking taylor expansion of n in n 18.708 * [backup-simplify]: Simplify 0 into 0 18.708 * [backup-simplify]: Simplify 1 into 1 18.708 * [backup-simplify]: Simplify (log 1) into 0 18.708 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 18.708 * [taylor]: Taking taylor expansion of 1.0 in n 18.708 * [backup-simplify]: Simplify 1.0 into 1.0 18.708 * [taylor]: Taking taylor expansion of (/ 1 k) in n 18.708 * [taylor]: Taking taylor expansion of k in n 18.708 * [backup-simplify]: Simplify k into k 18.708 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 18.708 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 18.708 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 18.709 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 18.709 * [backup-simplify]: Simplify (* (log n) (- 1.0 (/ 1 k))) into (* (log n) (- 1.0 (/ 1 k))) 18.709 * [backup-simplify]: Simplify (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 18.709 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 18.709 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2) in n 18.709 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 18.709 * [taylor]: Taking taylor expansion of (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 18.709 * [taylor]: Taking taylor expansion of 0.25 in n 18.709 * [backup-simplify]: Simplify 0.25 into 0.25 18.709 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 18.709 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 18.709 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 18.709 * [taylor]: Taking taylor expansion of 2.0 in n 18.709 * [backup-simplify]: Simplify 2.0 into 2.0 18.709 * [taylor]: Taking taylor expansion of PI in n 18.709 * [backup-simplify]: Simplify PI into PI 18.709 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 18.710 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 18.710 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 18.710 * [taylor]: Taking taylor expansion of 1.0 in n 18.710 * [backup-simplify]: Simplify 1.0 into 1.0 18.710 * [taylor]: Taking taylor expansion of (/ 1 k) in n 18.710 * [taylor]: Taking taylor expansion of k in n 18.710 * [backup-simplify]: Simplify k into k 18.710 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 18.710 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 18.710 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 18.711 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) into (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) 18.712 * [backup-simplify]: Simplify (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) into (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) 18.712 * [backup-simplify]: Simplify (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 18.714 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2) 18.715 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) into (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) 18.716 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))) into (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))) 18.717 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) into (- (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) 18.718 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) into (- (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) 18.718 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 18.718 * [backup-simplify]: Simplify (- 0) into 0 18.718 * [backup-simplify]: Simplify (+ 0 0) into 0 18.719 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 18.720 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 18.720 * [backup-simplify]: Simplify (+ (* (log (* 2.0 PI)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 18.721 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into 0 18.723 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 18.724 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into 0 18.725 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 18.725 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 18.725 * [backup-simplify]: Simplify (- 0) into 0 18.725 * [backup-simplify]: Simplify (+ 0 0) into 0 18.726 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 18.726 * [backup-simplify]: Simplify (+ (* (log n) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 18.726 * [backup-simplify]: Simplify (+ (* -0.5 0) (* 0 (* (log n) (- 1.0 (/ 1 k))))) into 0 18.727 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 18.728 * [backup-simplify]: Simplify (+ (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 0) (* 0 (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))) into 0 18.729 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) into 0 18.730 * [backup-simplify]: Simplify (- 0) into 0 18.730 * [backup-simplify]: Simplify 0 into 0 18.730 * [backup-simplify]: Simplify 0 into 0 18.732 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))))) into 0 18.733 * [backup-simplify]: Simplify (+ (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))))))) into 0 18.738 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 18.741 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))))) into (- (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) 18.747 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))))) (+ (* 0 (- (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))))) (+ (* 0 (- (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))))) (* 0 0)))) into (- (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) 18.747 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) in n 18.747 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))) in n 18.747 * [taylor]: Taking taylor expansion of +nan.0 in n 18.747 * [backup-simplify]: Simplify +nan.0 into +nan.0 18.747 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) in n 18.747 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in n 18.747 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in n 18.747 * [taylor]: Taking taylor expansion of -0.5 in n 18.747 * [backup-simplify]: Simplify -0.5 into -0.5 18.747 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in n 18.747 * [taylor]: Taking taylor expansion of (log n) in n 18.747 * [taylor]: Taking taylor expansion of n in n 18.747 * [backup-simplify]: Simplify 0 into 0 18.747 * [backup-simplify]: Simplify 1 into 1 18.748 * [backup-simplify]: Simplify (log 1) into 0 18.748 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 18.748 * [taylor]: Taking taylor expansion of 1.0 in n 18.748 * [backup-simplify]: Simplify 1.0 into 1.0 18.748 * [taylor]: Taking taylor expansion of (/ 1 k) in n 18.748 * [taylor]: Taking taylor expansion of k in n 18.748 * [backup-simplify]: Simplify k into k 18.748 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 18.749 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 18.749 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 18.749 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 18.749 * [backup-simplify]: Simplify (* (log n) (- 1.0 (/ 1 k))) into (* (log n) (- 1.0 (/ 1 k))) 18.749 * [backup-simplify]: Simplify (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 18.749 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 18.749 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2) in n 18.749 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 18.749 * [taylor]: Taking taylor expansion of (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 18.749 * [taylor]: Taking taylor expansion of 0.25 in n 18.750 * [backup-simplify]: Simplify 0.25 into 0.25 18.750 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 18.750 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 18.750 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 18.750 * [taylor]: Taking taylor expansion of 2.0 in n 18.750 * [backup-simplify]: Simplify 2.0 into 2.0 18.750 * [taylor]: Taking taylor expansion of PI in n 18.750 * [backup-simplify]: Simplify PI into PI 18.750 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 18.751 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 18.751 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 18.751 * [taylor]: Taking taylor expansion of 1.0 in n 18.752 * [backup-simplify]: Simplify 1.0 into 1.0 18.752 * [taylor]: Taking taylor expansion of (/ 1 k) in n 18.752 * [taylor]: Taking taylor expansion of k in n 18.752 * [backup-simplify]: Simplify k into k 18.752 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 18.752 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 18.752 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 18.753 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) into (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) 18.754 * [backup-simplify]: Simplify (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) into (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) 18.756 * [backup-simplify]: Simplify (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 18.758 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2) 18.760 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) into (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) 18.761 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))) into (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))) 18.762 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) into (- (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) 18.763 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) into (- (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) 18.767 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))) 2)))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (* (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))) 2)))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (* (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))) 2)))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (* (pow (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) 2) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (pow (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) 2) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))) (pow k 3))) (- (* +nan.0 (/ (* (pow (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) 2) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))) k))))))) 18.768 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 (- k)))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 (/ 1 (- k))) 2.0) 2)) (* (pow (* 2.0 PI) (/ (/ (- 1.0 (/ 1 (- k))) 2.0) 2)) (pow (/ 1 (/ 1 (- n))) (* -0.5 (- 1.0 (/ 1 (- k)))))))) into (* 1.0 (/ (* (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2) (pow (* -1 n) (* -0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) 18.768 * [approximate]: Taking taylor expansion of (* 1.0 (/ (* (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2) (pow (* -1 n) (* -0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in (k n) around 0 18.768 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2) (pow (* -1 n) (* -0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in n 18.768 * [taylor]: Taking taylor expansion of 1.0 in n 18.768 * [backup-simplify]: Simplify 1.0 into 1.0 18.768 * [taylor]: Taking taylor expansion of (/ (* (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2) (pow (* -1 n) (* -0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in n 18.768 * [taylor]: Taking taylor expansion of (* (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2) (pow (* -1 n) (* -0.5 (+ (/ 1 k) 1.0)))) in n 18.768 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2) in n 18.768 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) in n 18.768 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in n 18.768 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in n 18.768 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 18.768 * [taylor]: Taking taylor expansion of 0.25 in n 18.768 * [backup-simplify]: Simplify 0.25 into 0.25 18.768 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 18.768 * [taylor]: Taking taylor expansion of (/ 1 k) in n 18.769 * [taylor]: Taking taylor expansion of k in n 18.769 * [backup-simplify]: Simplify k into k 18.769 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 18.769 * [taylor]: Taking taylor expansion of 1.0 in n 18.769 * [backup-simplify]: Simplify 1.0 into 1.0 18.769 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 18.769 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 18.769 * [taylor]: Taking taylor expansion of 2.0 in n 18.769 * [backup-simplify]: Simplify 2.0 into 2.0 18.769 * [taylor]: Taking taylor expansion of PI in n 18.769 * [backup-simplify]: Simplify PI into PI 18.769 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 18.770 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 18.770 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 18.770 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 18.770 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) into (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) 18.771 * [backup-simplify]: Simplify (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 18.771 * [taylor]: Taking taylor expansion of (pow (* -1 n) (* -0.5 (+ (/ 1 k) 1.0))) in n 18.771 * [taylor]: Taking taylor expansion of (exp (* (* -0.5 (+ (/ 1 k) 1.0)) (log (* -1 n)))) in n 18.771 * [taylor]: Taking taylor expansion of (* (* -0.5 (+ (/ 1 k) 1.0)) (log (* -1 n))) in n 18.771 * [taylor]: Taking taylor expansion of (* -0.5 (+ (/ 1 k) 1.0)) in n 18.771 * [taylor]: Taking taylor expansion of -0.5 in n 18.771 * [backup-simplify]: Simplify -0.5 into -0.5 18.771 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 18.771 * [taylor]: Taking taylor expansion of (/ 1 k) in n 18.771 * [taylor]: Taking taylor expansion of k in n 18.771 * [backup-simplify]: Simplify k into k 18.771 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 18.771 * [taylor]: Taking taylor expansion of 1.0 in n 18.771 * [backup-simplify]: Simplify 1.0 into 1.0 18.772 * [taylor]: Taking taylor expansion of (log (* -1 n)) in n 18.772 * [taylor]: Taking taylor expansion of (* -1 n) in n 18.772 * [taylor]: Taking taylor expansion of -1 in n 18.772 * [backup-simplify]: Simplify -1 into -1 18.772 * [taylor]: Taking taylor expansion of n in n 18.772 * [backup-simplify]: Simplify 0 into 0 18.772 * [backup-simplify]: Simplify 1 into 1 18.772 * [backup-simplify]: Simplify (* -1 0) into 0 18.772 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 18.773 * [backup-simplify]: Simplify (log -1) into (log -1) 18.773 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 18.773 * [backup-simplify]: Simplify (* -0.5 (+ (/ 1 k) 1.0)) into (* -0.5 (+ (/ 1 k) 1.0)) 18.773 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log -1)) into (+ (log -1) (log n)) 18.774 * [backup-simplify]: Simplify (* (* -0.5 (+ (/ 1 k) 1.0)) (+ (log -1) (log n))) into (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0))) 18.774 * [backup-simplify]: Simplify (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0)))) 18.774 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 18.774 * [taylor]: Taking taylor expansion of (/ -1 k) in n 18.774 * [taylor]: Taking taylor expansion of -1 in n 18.774 * [backup-simplify]: Simplify -1 into -1 18.774 * [taylor]: Taking taylor expansion of k in n 18.774 * [backup-simplify]: Simplify k into k 18.774 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 18.774 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 18.774 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 18.774 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 18.776 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) 18.777 * [backup-simplify]: Simplify (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0))))) into (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0))))) 18.778 * [backup-simplify]: Simplify (/ (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0))))) (sqrt (/ -1 k))) into (/ (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0))))) (sqrt (/ -1 k))) 18.778 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2) (pow (* -1 n) (* -0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in k 18.778 * [taylor]: Taking taylor expansion of 1.0 in k 18.778 * [backup-simplify]: Simplify 1.0 into 1.0 18.778 * [taylor]: Taking taylor expansion of (/ (* (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2) (pow (* -1 n) (* -0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 18.778 * [taylor]: Taking taylor expansion of (* (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2) (pow (* -1 n) (* -0.5 (+ (/ 1 k) 1.0)))) in k 18.778 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2) in k 18.778 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) in k 18.778 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 18.778 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 18.778 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 18.778 * [taylor]: Taking taylor expansion of 0.25 in k 18.778 * [backup-simplify]: Simplify 0.25 into 0.25 18.778 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 18.778 * [taylor]: Taking taylor expansion of (/ 1 k) in k 18.778 * [taylor]: Taking taylor expansion of k in k 18.778 * [backup-simplify]: Simplify 0 into 0 18.779 * [backup-simplify]: Simplify 1 into 1 18.779 * [backup-simplify]: Simplify (/ 1 1) into 1 18.779 * [taylor]: Taking taylor expansion of 1.0 in k 18.779 * [backup-simplify]: Simplify 1.0 into 1.0 18.779 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 18.779 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 18.779 * [taylor]: Taking taylor expansion of 2.0 in k 18.779 * [backup-simplify]: Simplify 2.0 into 2.0 18.779 * [taylor]: Taking taylor expansion of PI in k 18.779 * [backup-simplify]: Simplify PI into PI 18.779 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 18.780 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 18.780 * [backup-simplify]: Simplify (+ 1 0) into 1 18.780 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 18.781 * [backup-simplify]: Simplify (* 0.25 (log (* 2.0 PI))) into (* 0.25 (log (* 2.0 PI))) 18.782 * [backup-simplify]: Simplify (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 18.782 * [taylor]: Taking taylor expansion of (pow (* -1 n) (* -0.5 (+ (/ 1 k) 1.0))) in k 18.782 * [taylor]: Taking taylor expansion of (exp (* (* -0.5 (+ (/ 1 k) 1.0)) (log (* -1 n)))) in k 18.782 * [taylor]: Taking taylor expansion of (* (* -0.5 (+ (/ 1 k) 1.0)) (log (* -1 n))) in k 18.782 * [taylor]: Taking taylor expansion of (* -0.5 (+ (/ 1 k) 1.0)) in k 18.782 * [taylor]: Taking taylor expansion of -0.5 in k 18.782 * [backup-simplify]: Simplify -0.5 into -0.5 18.782 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 18.782 * [taylor]: Taking taylor expansion of (/ 1 k) in k 18.782 * [taylor]: Taking taylor expansion of k in k 18.782 * [backup-simplify]: Simplify 0 into 0 18.782 * [backup-simplify]: Simplify 1 into 1 18.783 * [backup-simplify]: Simplify (/ 1 1) into 1 18.783 * [taylor]: Taking taylor expansion of 1.0 in k 18.783 * [backup-simplify]: Simplify 1.0 into 1.0 18.783 * [taylor]: Taking taylor expansion of (log (* -1 n)) in k 18.783 * [taylor]: Taking taylor expansion of (* -1 n) in k 18.783 * [taylor]: Taking taylor expansion of -1 in k 18.783 * [backup-simplify]: Simplify -1 into -1 18.783 * [taylor]: Taking taylor expansion of n in k 18.783 * [backup-simplify]: Simplify n into n 18.783 * [backup-simplify]: Simplify (* -1 n) into (* -1 n) 18.783 * [backup-simplify]: Simplify (log (* -1 n)) into (log (* -1 n)) 18.783 * [backup-simplify]: Simplify (+ 1 0) into 1 18.783 * [backup-simplify]: Simplify (* -0.5 1) into -0.5 18.783 * [backup-simplify]: Simplify (* -0.5 (log (* -1 n))) into (* -0.5 (log (* -1 n))) 18.784 * [backup-simplify]: Simplify (exp (* (* -0.5 (+ (/ 1 k) 1.0)) (log (* -1 n)))) into (exp (* -0.5 (* (+ (/ 1 k) 1.0) (log (* -1 n))))) 18.784 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 18.784 * [taylor]: Taking taylor expansion of (/ -1 k) in k 18.784 * [taylor]: Taking taylor expansion of -1 in k 18.784 * [backup-simplify]: Simplify -1 into -1 18.784 * [taylor]: Taking taylor expansion of k in k 18.784 * [backup-simplify]: Simplify 0 into 0 18.784 * [backup-simplify]: Simplify 1 into 1 18.784 * [backup-simplify]: Simplify (/ -1 1) into -1 18.784 * [backup-simplify]: Simplify (sqrt 0) into 0 18.785 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 18.788 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) 18.789 * [backup-simplify]: Simplify (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* -0.5 (* (+ (/ 1 k) 1.0) (log (* -1 n)))))) into (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* -0.5 (* (+ (/ 1 k) 1.0) (log (* -1 n)))))) 18.791 * [backup-simplify]: Simplify (/ (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* -0.5 (* (+ (/ 1 k) 1.0) (log (* -1 n)))))) +nan.0) into (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* -0.5 (* (+ (/ 1 k) 1.0) (log (* -1 n))))))) 18.791 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2) (pow (* -1 n) (* -0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in k 18.791 * [taylor]: Taking taylor expansion of 1.0 in k 18.791 * [backup-simplify]: Simplify 1.0 into 1.0 18.791 * [taylor]: Taking taylor expansion of (/ (* (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2) (pow (* -1 n) (* -0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 18.791 * [taylor]: Taking taylor expansion of (* (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2) (pow (* -1 n) (* -0.5 (+ (/ 1 k) 1.0)))) in k 18.791 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2) in k 18.791 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) in k 18.791 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 18.791 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 18.791 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 18.791 * [taylor]: Taking taylor expansion of 0.25 in k 18.791 * [backup-simplify]: Simplify 0.25 into 0.25 18.792 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 18.792 * [taylor]: Taking taylor expansion of (/ 1 k) in k 18.792 * [taylor]: Taking taylor expansion of k in k 18.792 * [backup-simplify]: Simplify 0 into 0 18.792 * [backup-simplify]: Simplify 1 into 1 18.792 * [backup-simplify]: Simplify (/ 1 1) into 1 18.792 * [taylor]: Taking taylor expansion of 1.0 in k 18.792 * [backup-simplify]: Simplify 1.0 into 1.0 18.792 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 18.792 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 18.792 * [taylor]: Taking taylor expansion of 2.0 in k 18.792 * [backup-simplify]: Simplify 2.0 into 2.0 18.792 * [taylor]: Taking taylor expansion of PI in k 18.792 * [backup-simplify]: Simplify PI into PI 18.793 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 18.794 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 18.794 * [backup-simplify]: Simplify (+ 1 0) into 1 18.795 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 18.797 * [backup-simplify]: Simplify (* 0.25 (log (* 2.0 PI))) into (* 0.25 (log (* 2.0 PI))) 18.798 * [backup-simplify]: Simplify (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 18.798 * [taylor]: Taking taylor expansion of (pow (* -1 n) (* -0.5 (+ (/ 1 k) 1.0))) in k 18.798 * [taylor]: Taking taylor expansion of (exp (* (* -0.5 (+ (/ 1 k) 1.0)) (log (* -1 n)))) in k 18.798 * [taylor]: Taking taylor expansion of (* (* -0.5 (+ (/ 1 k) 1.0)) (log (* -1 n))) in k 18.798 * [taylor]: Taking taylor expansion of (* -0.5 (+ (/ 1 k) 1.0)) in k 18.798 * [taylor]: Taking taylor expansion of -0.5 in k 18.798 * [backup-simplify]: Simplify -0.5 into -0.5 18.798 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 18.798 * [taylor]: Taking taylor expansion of (/ 1 k) in k 18.798 * [taylor]: Taking taylor expansion of k in k 18.798 * [backup-simplify]: Simplify 0 into 0 18.798 * [backup-simplify]: Simplify 1 into 1 18.799 * [backup-simplify]: Simplify (/ 1 1) into 1 18.799 * [taylor]: Taking taylor expansion of 1.0 in k 18.799 * [backup-simplify]: Simplify 1.0 into 1.0 18.799 * [taylor]: Taking taylor expansion of (log (* -1 n)) in k 18.799 * [taylor]: Taking taylor expansion of (* -1 n) in k 18.799 * [taylor]: Taking taylor expansion of -1 in k 18.799 * [backup-simplify]: Simplify -1 into -1 18.799 * [taylor]: Taking taylor expansion of n in k 18.799 * [backup-simplify]: Simplify n into n 18.799 * [backup-simplify]: Simplify (* -1 n) into (* -1 n) 18.799 * [backup-simplify]: Simplify (log (* -1 n)) into (log (* -1 n)) 18.799 * [backup-simplify]: Simplify (+ 1 0) into 1 18.800 * [backup-simplify]: Simplify (* -0.5 1) into -0.5 18.800 * [backup-simplify]: Simplify (* -0.5 (log (* -1 n))) into (* -0.5 (log (* -1 n))) 18.800 * [backup-simplify]: Simplify (exp (* (* -0.5 (+ (/ 1 k) 1.0)) (log (* -1 n)))) into (exp (* -0.5 (* (+ (/ 1 k) 1.0) (log (* -1 n))))) 18.800 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 18.800 * [taylor]: Taking taylor expansion of (/ -1 k) in k 18.800 * [taylor]: Taking taylor expansion of -1 in k 18.800 * [backup-simplify]: Simplify -1 into -1 18.800 * [taylor]: Taking taylor expansion of k in k 18.800 * [backup-simplify]: Simplify 0 into 0 18.800 * [backup-simplify]: Simplify 1 into 1 18.801 * [backup-simplify]: Simplify (/ -1 1) into -1 18.801 * [backup-simplify]: Simplify (sqrt 0) into 0 18.802 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 18.805 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) 18.806 * [backup-simplify]: Simplify (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* -0.5 (* (+ (/ 1 k) 1.0) (log (* -1 n)))))) into (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* -0.5 (* (+ (/ 1 k) 1.0) (log (* -1 n)))))) 18.807 * [backup-simplify]: Simplify (/ (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* -0.5 (* (+ (/ 1 k) 1.0) (log (* -1 n)))))) +nan.0) into (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* -0.5 (* (+ (/ 1 k) 1.0) (log (* -1 n))))))) 18.808 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* -0.5 (* (+ (/ 1 k) 1.0) (log (* -1 n)))))))) into (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* -0.5 (* (+ (/ 1 k) 1.0) (log (* -1 n))))))) 18.808 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* -0.5 (* (+ (/ 1 k) 1.0) (log (* -1 n))))))) in n 18.808 * [taylor]: Taking taylor expansion of +nan.0 in n 18.808 * [backup-simplify]: Simplify +nan.0 into +nan.0 18.808 * [taylor]: Taking taylor expansion of (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* -0.5 (* (+ (/ 1 k) 1.0) (log (* -1 n)))))) in n 18.808 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) in n 18.808 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n 18.808 * [taylor]: Taking taylor expansion of (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n 18.808 * [taylor]: Taking taylor expansion of 0.25 in n 18.808 * [backup-simplify]: Simplify 0.25 into 0.25 18.808 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n 18.808 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 18.808 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 18.808 * [taylor]: Taking taylor expansion of 2.0 in n 18.808 * [backup-simplify]: Simplify 2.0 into 2.0 18.808 * [taylor]: Taking taylor expansion of PI in n 18.808 * [backup-simplify]: Simplify PI into PI 18.808 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 18.809 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 18.809 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 18.809 * [taylor]: Taking taylor expansion of (/ 1 k) in n 18.809 * [taylor]: Taking taylor expansion of k in n 18.809 * [backup-simplify]: Simplify k into k 18.809 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 18.809 * [taylor]: Taking taylor expansion of 1.0 in n 18.809 * [backup-simplify]: Simplify 1.0 into 1.0 18.809 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 18.810 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) into (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) 18.817 * [backup-simplify]: Simplify (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) into (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) 18.818 * [backup-simplify]: Simplify (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 18.818 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (+ (/ 1 k) 1.0) (log (* -1 n))))) in n 18.818 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 k) 1.0) (log (* -1 n)))) in n 18.818 * [taylor]: Taking taylor expansion of -0.5 in n 18.818 * [backup-simplify]: Simplify -0.5 into -0.5 18.818 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -1 n))) in n 18.818 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 18.818 * [taylor]: Taking taylor expansion of (/ 1 k) in n 18.818 * [taylor]: Taking taylor expansion of k in n 18.818 * [backup-simplify]: Simplify k into k 18.818 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 18.818 * [taylor]: Taking taylor expansion of 1.0 in n 18.818 * [backup-simplify]: Simplify 1.0 into 1.0 18.818 * [taylor]: Taking taylor expansion of (log (* -1 n)) in n 18.818 * [taylor]: Taking taylor expansion of (* -1 n) in n 18.818 * [taylor]: Taking taylor expansion of -1 in n 18.818 * [backup-simplify]: Simplify -1 into -1 18.818 * [taylor]: Taking taylor expansion of n in n 18.818 * [backup-simplify]: Simplify 0 into 0 18.818 * [backup-simplify]: Simplify 1 into 1 18.819 * [backup-simplify]: Simplify (* -1 0) into 0 18.819 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 18.819 * [backup-simplify]: Simplify (log -1) into (log -1) 18.819 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 18.820 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log -1)) into (+ (log -1) (log n)) 18.820 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (+ (log -1) (log n))) into (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0)) 18.821 * [backup-simplify]: Simplify (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0))) into (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0))) 18.821 * [backup-simplify]: Simplify (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0)))) 18.822 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) 18.824 * [backup-simplify]: Simplify (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0))))) into (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0))))) 18.825 * [backup-simplify]: Simplify (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0)))))) into (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0)))))) 18.826 * [backup-simplify]: Simplify (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0)))))) into (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0)))))) 18.828 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into 0 18.828 * [backup-simplify]: Simplify (+ (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) 0) (* 0 (exp (* -0.5 (* (+ (/ 1 k) 1.0) (log (* -1 n))))))) into 0 18.829 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 18.832 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 18.835 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* -0.5 (* (+ (/ 1 k) 1.0) (log (* -1 n))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* -0.5 (* (+ (/ 1 k) 1.0) (log (* -1 n)))))))) 18.839 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* -0.5 (* (+ (/ 1 k) 1.0) (log (* -1 n))))))))) (* 0 (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* -0.5 (* (+ (/ 1 k) 1.0) (log (* -1 n))))))))) into (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* -0.5 (* (+ (/ 1 k) 1.0) (log (* -1 n)))))))) 18.839 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* -0.5 (* (+ (/ 1 k) 1.0) (log (* -1 n)))))))) in n 18.839 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* -0.5 (* (+ (/ 1 k) 1.0) (log (* -1 n))))))) in n 18.839 * [taylor]: Taking taylor expansion of +nan.0 in n 18.839 * [backup-simplify]: Simplify +nan.0 into +nan.0 18.839 * [taylor]: Taking taylor expansion of (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* -0.5 (* (+ (/ 1 k) 1.0) (log (* -1 n)))))) in n 18.839 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) in n 18.839 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n 18.839 * [taylor]: Taking taylor expansion of (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n 18.839 * [taylor]: Taking taylor expansion of 0.25 in n 18.839 * [backup-simplify]: Simplify 0.25 into 0.25 18.839 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n 18.839 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 18.839 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 18.839 * [taylor]: Taking taylor expansion of 2.0 in n 18.839 * [backup-simplify]: Simplify 2.0 into 2.0 18.839 * [taylor]: Taking taylor expansion of PI in n 18.839 * [backup-simplify]: Simplify PI into PI 18.840 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 18.841 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 18.841 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 18.841 * [taylor]: Taking taylor expansion of (/ 1 k) in n 18.841 * [taylor]: Taking taylor expansion of k in n 18.841 * [backup-simplify]: Simplify k into k 18.841 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 18.841 * [taylor]: Taking taylor expansion of 1.0 in n 18.841 * [backup-simplify]: Simplify 1.0 into 1.0 18.841 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 18.842 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) into (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) 18.844 * [backup-simplify]: Simplify (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) into (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) 18.845 * [backup-simplify]: Simplify (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 18.845 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (+ (/ 1 k) 1.0) (log (* -1 n))))) in n 18.845 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 k) 1.0) (log (* -1 n)))) in n 18.845 * [taylor]: Taking taylor expansion of -0.5 in n 18.845 * [backup-simplify]: Simplify -0.5 into -0.5 18.845 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -1 n))) in n 18.845 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 18.845 * [taylor]: Taking taylor expansion of (/ 1 k) in n 18.845 * [taylor]: Taking taylor expansion of k in n 18.845 * [backup-simplify]: Simplify k into k 18.845 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 18.845 * [taylor]: Taking taylor expansion of 1.0 in n 18.845 * [backup-simplify]: Simplify 1.0 into 1.0 18.845 * [taylor]: Taking taylor expansion of (log (* -1 n)) in n 18.845 * [taylor]: Taking taylor expansion of (* -1 n) in n 18.845 * [taylor]: Taking taylor expansion of -1 in n 18.845 * [backup-simplify]: Simplify -1 into -1 18.845 * [taylor]: Taking taylor expansion of n in n 18.845 * [backup-simplify]: Simplify 0 into 0 18.845 * [backup-simplify]: Simplify 1 into 1 18.845 * [backup-simplify]: Simplify (* -1 0) into 0 18.846 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 18.846 * [backup-simplify]: Simplify (log -1) into (log -1) 18.846 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 18.847 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log -1)) into (+ (log -1) (log n)) 18.847 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (+ (log -1) (log n))) into (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0)) 18.847 * [backup-simplify]: Simplify (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0))) into (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0))) 18.848 * [backup-simplify]: Simplify (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0)))) 18.849 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) 18.851 * [backup-simplify]: Simplify (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0))))) into (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0))))) 18.852 * [backup-simplify]: Simplify (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0)))))) into (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0)))))) 18.853 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0))))))) 18.854 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0))))))) 18.855 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 18.856 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 18.856 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 18.856 * [backup-simplify]: Simplify (+ 0 0) into 0 18.857 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log -1)) into (+ (log -1) (log n)) 18.857 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (+ (log -1) (log n)))) into 0 18.858 * [backup-simplify]: Simplify (+ (* -0.5 0) (* 0 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0)))) into 0 18.859 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 18.859 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 18.859 * [backup-simplify]: Simplify (+ 0 0) into 0 18.860 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 18.861 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 18.861 * [backup-simplify]: Simplify (+ (* (log (* 2.0 PI)) 0) (* 0 (+ (/ 1 k) 1.0))) into 0 18.862 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into 0 18.863 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 18.865 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into 0 18.866 * [backup-simplify]: Simplify (+ (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) 0) (* 0 (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0)))))) into 0 18.867 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0))))))) into 0 18.867 * [backup-simplify]: Simplify 0 into 0 18.869 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 0) (+ (* 0 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) into 0 18.870 * [backup-simplify]: Simplify (+ (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) 0) (+ (* 0 0) (* 0 (exp (* -0.5 (* (+ (/ 1 k) 1.0) (log (* -1 n)))))))) into 0 18.871 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.874 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 18.877 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* -0.5 (* (+ (/ 1 k) 1.0) (log (* -1 n))))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* -0.5 (* (+ (/ 1 k) 1.0) (log (* -1 n)))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* -0.5 (* (+ (/ 1 k) 1.0) (log (* -1 n)))))))) 18.880 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* -0.5 (* (+ (/ 1 k) 1.0) (log (* -1 n))))))))) (+ (* 0 (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* -0.5 (* (+ (/ 1 k) 1.0) (log (* -1 n))))))))) (* 0 (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* -0.5 (* (+ (/ 1 k) 1.0) (log (* -1 n)))))))))) into (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* -0.5 (* (+ (/ 1 k) 1.0) (log (* -1 n)))))))) 18.880 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* -0.5 (* (+ (/ 1 k) 1.0) (log (* -1 n)))))))) in n 18.880 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* -0.5 (* (+ (/ 1 k) 1.0) (log (* -1 n))))))) in n 18.880 * [taylor]: Taking taylor expansion of +nan.0 in n 18.880 * [backup-simplify]: Simplify +nan.0 into +nan.0 18.880 * [taylor]: Taking taylor expansion of (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* -0.5 (* (+ (/ 1 k) 1.0) (log (* -1 n)))))) in n 18.880 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) in n 18.880 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n 18.880 * [taylor]: Taking taylor expansion of (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n 18.880 * [taylor]: Taking taylor expansion of 0.25 in n 18.880 * [backup-simplify]: Simplify 0.25 into 0.25 18.880 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n 18.880 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 18.880 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 18.880 * [taylor]: Taking taylor expansion of 2.0 in n 18.880 * [backup-simplify]: Simplify 2.0 into 2.0 18.880 * [taylor]: Taking taylor expansion of PI in n 18.880 * [backup-simplify]: Simplify PI into PI 18.880 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 18.881 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 18.881 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 18.881 * [taylor]: Taking taylor expansion of (/ 1 k) in n 18.881 * [taylor]: Taking taylor expansion of k in n 18.881 * [backup-simplify]: Simplify k into k 18.882 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 18.882 * [taylor]: Taking taylor expansion of 1.0 in n 18.882 * [backup-simplify]: Simplify 1.0 into 1.0 18.882 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 18.883 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) into (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) 18.884 * [backup-simplify]: Simplify (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) into (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) 18.885 * [backup-simplify]: Simplify (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 18.885 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (+ (/ 1 k) 1.0) (log (* -1 n))))) in n 18.885 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 k) 1.0) (log (* -1 n)))) in n 18.885 * [taylor]: Taking taylor expansion of -0.5 in n 18.885 * [backup-simplify]: Simplify -0.5 into -0.5 18.885 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -1 n))) in n 18.886 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 18.886 * [taylor]: Taking taylor expansion of (/ 1 k) in n 18.886 * [taylor]: Taking taylor expansion of k in n 18.886 * [backup-simplify]: Simplify k into k 18.886 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 18.886 * [taylor]: Taking taylor expansion of 1.0 in n 18.886 * [backup-simplify]: Simplify 1.0 into 1.0 18.886 * [taylor]: Taking taylor expansion of (log (* -1 n)) in n 18.886 * [taylor]: Taking taylor expansion of (* -1 n) in n 18.886 * [taylor]: Taking taylor expansion of -1 in n 18.886 * [backup-simplify]: Simplify -1 into -1 18.886 * [taylor]: Taking taylor expansion of n in n 18.886 * [backup-simplify]: Simplify 0 into 0 18.886 * [backup-simplify]: Simplify 1 into 1 18.886 * [backup-simplify]: Simplify (* -1 0) into 0 18.887 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 18.888 * [backup-simplify]: Simplify (log -1) into (log -1) 18.888 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 18.888 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log -1)) into (+ (log -1) (log n)) 18.889 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (+ (log -1) (log n))) into (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0)) 18.889 * [backup-simplify]: Simplify (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0))) into (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0))) 18.890 * [backup-simplify]: Simplify (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0)))) 18.892 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) 18.894 * [backup-simplify]: Simplify (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0))))) into (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0))))) 18.896 * [backup-simplify]: Simplify (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0)))))) into (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0)))))) 18.899 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0))))))) 18.901 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0))))))) 18.908 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))) 2) (exp (* -0.5 (* (+ (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))) 2) (exp (* -0.5 (* (+ (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))) 2) (exp (* -0.5 (* (+ (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))))))) into (- (+ (* +nan.0 (/ (* (pow (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) 2) (exp (* -0.5 (* (- 1.0 k) (+ (log -1) (log (/ -1 n))))))) (pow k 2))) (- (+ (* +nan.0 (* (pow (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) 2) (exp (* -0.5 (* (- 1.0 k) (+ (log -1) (log (/ -1 n)))))))) (- (* +nan.0 (/ (* (pow (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) 2) (exp (* -0.5 (* (- 1.0 k) (+ (log -1) (log (/ -1 n))))))) k))))))) 18.909 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 18.910 * [backup-simplify]: Simplify (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (/ 1 n) (* -0.5 (- 1.0 k))))) into (* (pow (/ 1 n) (* -0.5 (- 1.0 k))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2)) 18.910 * [approximate]: Taking taylor expansion of (* (pow (/ 1 n) (* -0.5 (- 1.0 k))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2)) in (k n) around 0 18.910 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* -0.5 (- 1.0 k))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2)) in n 18.910 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* -0.5 (- 1.0 k))) in n 18.910 * [taylor]: Taking taylor expansion of (exp (* (* -0.5 (- 1.0 k)) (log (/ 1 n)))) in n 18.910 * [taylor]: Taking taylor expansion of (* (* -0.5 (- 1.0 k)) (log (/ 1 n))) in n 18.910 * [taylor]: Taking taylor expansion of (* -0.5 (- 1.0 k)) in n 18.910 * [taylor]: Taking taylor expansion of -0.5 in n 18.910 * [backup-simplify]: Simplify -0.5 into -0.5 18.910 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 18.910 * [taylor]: Taking taylor expansion of 1.0 in n 18.910 * [backup-simplify]: Simplify 1.0 into 1.0 18.910 * [taylor]: Taking taylor expansion of k in n 18.910 * [backup-simplify]: Simplify k into k 18.910 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 18.910 * [taylor]: Taking taylor expansion of (/ 1 n) in n 18.910 * [taylor]: Taking taylor expansion of n in n 18.910 * [backup-simplify]: Simplify 0 into 0 18.910 * [backup-simplify]: Simplify 1 into 1 18.910 * [backup-simplify]: Simplify (/ 1 1) into 1 18.910 * [backup-simplify]: Simplify (log 1) into 0 18.911 * [backup-simplify]: Simplify (- k) into (- k) 18.911 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 18.911 * [backup-simplify]: Simplify (* -0.5 (- 1.0 k)) into (* -0.5 (- 1.0 k)) 18.911 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 18.911 * [backup-simplify]: Simplify (* (* -0.5 (- 1.0 k)) (- (log n))) into (* 0.5 (* (- 1.0 k) (log n))) 18.911 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 18.911 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2) in n 18.911 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) in n 18.911 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI)))) in n 18.911 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI))) in n 18.911 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 18.911 * [taylor]: Taking taylor expansion of 0.25 in n 18.911 * [backup-simplify]: Simplify 0.25 into 0.25 18.911 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 18.911 * [taylor]: Taking taylor expansion of 1.0 in n 18.911 * [backup-simplify]: Simplify 1.0 into 1.0 18.911 * [taylor]: Taking taylor expansion of k in n 18.911 * [backup-simplify]: Simplify k into k 18.911 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 18.911 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 18.911 * [taylor]: Taking taylor expansion of 2.0 in n 18.911 * [backup-simplify]: Simplify 2.0 into 2.0 18.911 * [taylor]: Taking taylor expansion of PI in n 18.911 * [backup-simplify]: Simplify PI into PI 18.912 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 18.912 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 18.912 * [backup-simplify]: Simplify (- k) into (- k) 18.912 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 18.913 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 18.913 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI))) into (* 0.25 (* (- 1.0 k) (log (* 2.0 PI)))) 18.914 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) into (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) 18.914 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* -0.5 (- 1.0 k))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2)) in k 18.914 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* -0.5 (- 1.0 k))) in k 18.914 * [taylor]: Taking taylor expansion of (exp (* (* -0.5 (- 1.0 k)) (log (/ 1 n)))) in k 18.914 * [taylor]: Taking taylor expansion of (* (* -0.5 (- 1.0 k)) (log (/ 1 n))) in k 18.914 * [taylor]: Taking taylor expansion of (* -0.5 (- 1.0 k)) in k 18.914 * [taylor]: Taking taylor expansion of -0.5 in k 18.914 * [backup-simplify]: Simplify -0.5 into -0.5 18.914 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 18.914 * [taylor]: Taking taylor expansion of 1.0 in k 18.914 * [backup-simplify]: Simplify 1.0 into 1.0 18.914 * [taylor]: Taking taylor expansion of k in k 18.914 * [backup-simplify]: Simplify 0 into 0 18.914 * [backup-simplify]: Simplify 1 into 1 18.914 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 18.914 * [taylor]: Taking taylor expansion of (/ 1 n) in k 18.914 * [taylor]: Taking taylor expansion of n in k 18.914 * [backup-simplify]: Simplify n into n 18.914 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 18.914 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 18.915 * [backup-simplify]: Simplify (- 0) into 0 18.915 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 18.915 * [backup-simplify]: Simplify (* -0.5 1.0) into -0.5 18.915 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 18.915 * [backup-simplify]: Simplify (exp (* -0.5 (log (/ 1 n)))) into (pow (/ 1 n) -0.5) 18.915 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2) in k 18.915 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) in k 18.915 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI)))) in k 18.915 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI))) in k 18.915 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 18.915 * [taylor]: Taking taylor expansion of 0.25 in k 18.915 * [backup-simplify]: Simplify 0.25 into 0.25 18.915 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 18.915 * [taylor]: Taking taylor expansion of 1.0 in k 18.915 * [backup-simplify]: Simplify 1.0 into 1.0 18.915 * [taylor]: Taking taylor expansion of k in k 18.915 * [backup-simplify]: Simplify 0 into 0 18.915 * [backup-simplify]: Simplify 1 into 1 18.915 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 18.915 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 18.915 * [taylor]: Taking taylor expansion of 2.0 in k 18.916 * [backup-simplify]: Simplify 2.0 into 2.0 18.916 * [taylor]: Taking taylor expansion of PI in k 18.916 * [backup-simplify]: Simplify PI into PI 18.916 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 18.916 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 18.917 * [backup-simplify]: Simplify (- 0) into 0 18.917 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 18.917 * [backup-simplify]: Simplify (* 0.25 1.0) into 0.25 18.918 * [backup-simplify]: Simplify (* 0.25 (log (* 2.0 PI))) into (* 0.25 (log (* 2.0 PI))) 18.920 * [backup-simplify]: Simplify (exp (* 0.25 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.25) 18.920 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* -0.5 (- 1.0 k))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2)) in k 18.920 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* -0.5 (- 1.0 k))) in k 18.920 * [taylor]: Taking taylor expansion of (exp (* (* -0.5 (- 1.0 k)) (log (/ 1 n)))) in k 18.920 * [taylor]: Taking taylor expansion of (* (* -0.5 (- 1.0 k)) (log (/ 1 n))) in k 18.920 * [taylor]: Taking taylor expansion of (* -0.5 (- 1.0 k)) in k 18.920 * [taylor]: Taking taylor expansion of -0.5 in k 18.920 * [backup-simplify]: Simplify -0.5 into -0.5 18.920 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 18.920 * [taylor]: Taking taylor expansion of 1.0 in k 18.920 * [backup-simplify]: Simplify 1.0 into 1.0 18.920 * [taylor]: Taking taylor expansion of k in k 18.920 * [backup-simplify]: Simplify 0 into 0 18.920 * [backup-simplify]: Simplify 1 into 1 18.920 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 18.920 * [taylor]: Taking taylor expansion of (/ 1 n) in k 18.920 * [taylor]: Taking taylor expansion of n in k 18.920 * [backup-simplify]: Simplify n into n 18.920 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 18.920 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 18.920 * [backup-simplify]: Simplify (- 0) into 0 18.921 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 18.921 * [backup-simplify]: Simplify (* -0.5 1.0) into -0.5 18.921 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 18.921 * [backup-simplify]: Simplify (exp (* -0.5 (log (/ 1 n)))) into (pow (/ 1 n) -0.5) 18.921 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2) in k 18.921 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) in k 18.921 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI)))) in k 18.921 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI))) in k 18.921 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 18.921 * [taylor]: Taking taylor expansion of 0.25 in k 18.921 * [backup-simplify]: Simplify 0.25 into 0.25 18.921 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 18.921 * [taylor]: Taking taylor expansion of 1.0 in k 18.921 * [backup-simplify]: Simplify 1.0 into 1.0 18.921 * [taylor]: Taking taylor expansion of k in k 18.921 * [backup-simplify]: Simplify 0 into 0 18.921 * [backup-simplify]: Simplify 1 into 1 18.921 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 18.921 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 18.921 * [taylor]: Taking taylor expansion of 2.0 in k 18.921 * [backup-simplify]: Simplify 2.0 into 2.0 18.921 * [taylor]: Taking taylor expansion of PI in k 18.921 * [backup-simplify]: Simplify PI into PI 18.922 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 18.922 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 18.923 * [backup-simplify]: Simplify (- 0) into 0 18.923 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 18.923 * [backup-simplify]: Simplify (* 0.25 1.0) into 0.25 18.924 * [backup-simplify]: Simplify (* 0.25 (log (* 2.0 PI))) into (* 0.25 (log (* 2.0 PI))) 18.926 * [backup-simplify]: Simplify (exp (* 0.25 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.25) 18.933 * [backup-simplify]: Simplify (* (pow (* 2.0 PI) 0.25) (pow (* 2.0 PI) 0.25)) into (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) 18.935 * [backup-simplify]: Simplify (* (pow (/ 1 n) -0.5) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) 18.935 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 18.936 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 18.936 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 18.936 * [taylor]: Taking taylor expansion of 0.5 in n 18.936 * [backup-simplify]: Simplify 0.5 into 0.5 18.936 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 18.936 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 18.936 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 18.936 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 18.936 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 18.936 * [taylor]: Taking taylor expansion of 1.0 in n 18.936 * [backup-simplify]: Simplify 1.0 into 1.0 18.936 * [taylor]: Taking taylor expansion of (log PI) in n 18.936 * [taylor]: Taking taylor expansion of PI in n 18.936 * [backup-simplify]: Simplify PI into PI 18.936 * [backup-simplify]: Simplify (log PI) into (log PI) 18.937 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 18.938 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 18.938 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 18.938 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 18.938 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 18.938 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 18.938 * [taylor]: Taking taylor expansion of 1.0 in n 18.938 * [backup-simplify]: Simplify 1.0 into 1.0 18.938 * [taylor]: Taking taylor expansion of (log n) in n 18.938 * [taylor]: Taking taylor expansion of n in n 18.938 * [backup-simplify]: Simplify 0 into 0 18.938 * [backup-simplify]: Simplify 1 into 1 18.938 * [backup-simplify]: Simplify (log 1) into 0 18.938 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 18.938 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 18.938 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 18.938 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 18.938 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 18.939 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 18.939 * [taylor]: Taking taylor expansion of 1.0 in n 18.939 * [backup-simplify]: Simplify 1.0 into 1.0 18.939 * [taylor]: Taking taylor expansion of (log 2.0) in n 18.939 * [taylor]: Taking taylor expansion of 2.0 in n 18.939 * [backup-simplify]: Simplify 2.0 into 2.0 18.939 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 18.939 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 18.941 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 18.941 * [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) 18.943 * [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) 18.944 * [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)) 18.945 * [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))) 18.947 * [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) 18.948 * [backup-simplify]: Simplify (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 (pow (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) 1.0) 0.5) 18.949 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 18.951 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 18.951 * [backup-simplify]: Simplify (- 1) into -1 18.952 * [backup-simplify]: Simplify (+ 0 -1) into -1 18.953 * [backup-simplify]: Simplify (+ (* 0.25 -1) (* 0 1.0)) into (- 0.25) 18.955 * [backup-simplify]: Simplify (+ (* 0.25 0) (* (- 0.25) (log (* 2.0 PI)))) into (- (* 0.25 (log (* 2.0 PI)))) 18.963 * [backup-simplify]: Simplify (* (exp (* 0.25 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.25 (log (* 2.0 PI)))) 1) 1)))) into (* -0.25 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25))) 18.977 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 PI) 0.25) (* -0.25 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25)))) (* (* -0.25 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25))) (pow (* 2.0 PI) 0.25))) into (- (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) 18.978 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 18.978 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 n) 1)))) 1) into 0 18.978 * [backup-simplify]: Simplify (- 1) into -1 18.979 * [backup-simplify]: Simplify (+ 0 -1) into -1 18.980 * [backup-simplify]: Simplify (+ (* -0.5 -1) (* 0 1.0)) into 0.5 18.980 * [backup-simplify]: Simplify (+ (* -0.5 0) (* 0.5 (log (/ 1 n)))) into (* 0.5 (log (/ 1 n))) 18.980 * [backup-simplify]: Simplify (* (exp (* -0.5 (log (/ 1 n)))) (+ (* (/ (pow (* 0.5 (log (/ 1 n))) 1) 1)))) into (* 0.5 (* (log (/ 1 n)) (pow (pow n 1.0) 0.5))) 18.988 * [backup-simplify]: Simplify (+ (* (pow (/ 1 n) -0.5) (- (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) (* (* 0.5 (* (log (/ 1 n)) (pow (pow n 1.0) 0.5))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) into (- (* 0.5 (* (log (/ 1 n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) 18.988 * [taylor]: Taking taylor expansion of (- (* 0.5 (* (log (/ 1 n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) in n 18.988 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 18.988 * [taylor]: Taking taylor expansion of 0.5 in n 18.988 * [backup-simplify]: Simplify 0.5 into 0.5 18.988 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 18.988 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 18.988 * [taylor]: Taking taylor expansion of (/ 1 n) in n 18.988 * [taylor]: Taking taylor expansion of n in n 18.988 * [backup-simplify]: Simplify 0 into 0 18.988 * [backup-simplify]: Simplify 1 into 1 18.988 * [backup-simplify]: Simplify (/ 1 1) into 1 18.988 * [backup-simplify]: Simplify (log 1) into 0 18.988 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 18.989 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 18.989 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 18.989 * [taylor]: Taking taylor expansion of 0.5 in n 18.989 * [backup-simplify]: Simplify 0.5 into 0.5 18.989 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 18.989 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 18.989 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 18.989 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 18.989 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 18.989 * [taylor]: Taking taylor expansion of 1.0 in n 18.989 * [backup-simplify]: Simplify 1.0 into 1.0 18.989 * [taylor]: Taking taylor expansion of (log PI) in n 18.989 * [taylor]: Taking taylor expansion of PI in n 18.989 * [backup-simplify]: Simplify PI into PI 18.989 * [backup-simplify]: Simplify (log PI) into (log PI) 18.990 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 18.992 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 18.992 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 18.992 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 18.992 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 18.992 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 18.992 * [taylor]: Taking taylor expansion of 1.0 in n 18.992 * [backup-simplify]: Simplify 1.0 into 1.0 18.992 * [taylor]: Taking taylor expansion of (log n) in n 18.992 * [taylor]: Taking taylor expansion of n in n 18.992 * [backup-simplify]: Simplify 0 into 0 18.992 * [backup-simplify]: Simplify 1 into 1 18.992 * [backup-simplify]: Simplify (log 1) into 0 18.993 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 18.993 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 18.993 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 18.993 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 18.993 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 18.993 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 18.993 * [taylor]: Taking taylor expansion of 1.0 in n 18.993 * [backup-simplify]: Simplify 1.0 into 1.0 18.993 * [taylor]: Taking taylor expansion of (log 2.0) in n 18.993 * [taylor]: Taking taylor expansion of 2.0 in n 18.993 * [backup-simplify]: Simplify 2.0 into 2.0 18.993 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 18.994 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 18.995 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 18.995 * [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) 18.996 * [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) 18.997 * [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)) 18.998 * [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))) 18.999 * [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) 18.999 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 18.999 * [taylor]: Taking taylor expansion of 0.5 in n 18.999 * [backup-simplify]: Simplify 0.5 into 0.5 18.999 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 19.000 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 19.000 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 19.000 * [taylor]: Taking taylor expansion of 2.0 in n 19.000 * [backup-simplify]: Simplify 2.0 into 2.0 19.000 * [taylor]: Taking taylor expansion of PI in n 19.000 * [backup-simplify]: Simplify PI into PI 19.000 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 19.001 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 19.001 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 19.001 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 19.001 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 19.001 * [taylor]: Taking taylor expansion of 0.5 in n 19.001 * [backup-simplify]: Simplify 0.5 into 0.5 19.001 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 19.002 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 19.002 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 19.002 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 19.002 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 19.002 * [taylor]: Taking taylor expansion of 1.0 in n 19.002 * [backup-simplify]: Simplify 1.0 into 1.0 19.002 * [taylor]: Taking taylor expansion of (log PI) in n 19.002 * [taylor]: Taking taylor expansion of PI in n 19.002 * [backup-simplify]: Simplify PI into PI 19.002 * [backup-simplify]: Simplify (log PI) into (log PI) 19.003 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 19.005 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 19.005 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 19.005 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 19.005 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 19.005 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 19.005 * [taylor]: Taking taylor expansion of 1.0 in n 19.005 * [backup-simplify]: Simplify 1.0 into 1.0 19.006 * [taylor]: Taking taylor expansion of (log n) in n 19.006 * [taylor]: Taking taylor expansion of n in n 19.006 * [backup-simplify]: Simplify 0 into 0 19.006 * [backup-simplify]: Simplify 1 into 1 19.006 * [backup-simplify]: Simplify (log 1) into 0 19.006 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 19.007 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 19.007 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 19.007 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 19.007 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 19.007 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 19.007 * [taylor]: Taking taylor expansion of 1.0 in n 19.007 * [backup-simplify]: Simplify 1.0 into 1.0 19.007 * [taylor]: Taking taylor expansion of (log 2.0) in n 19.007 * [taylor]: Taking taylor expansion of 2.0 in n 19.007 * [backup-simplify]: Simplify 2.0 into 2.0 19.007 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 19.008 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 19.010 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 19.010 * [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) 19.011 * [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) 19.013 * [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)) 19.014 * [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))) 19.015 * [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) 19.016 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 19.017 * [backup-simplify]: Simplify (* (- (log n)) (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 (* -1 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) 19.018 * [backup-simplify]: Simplify (* 0.5 (* -1 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)))) into (* -0.5 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) 19.021 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (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 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 19.023 * [backup-simplify]: Simplify (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) into (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 19.025 * [backup-simplify]: Simplify (- (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) into (- (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) 19.028 * [backup-simplify]: Simplify (+ (* -0.5 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) into (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) 19.030 * [backup-simplify]: Simplify (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) into (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) 19.031 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 19.032 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 19.033 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 19.034 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 19.034 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 19.034 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 19.035 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 19.035 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 19.036 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 19.037 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 19.038 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 19.046 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0 19.047 * [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 19.049 * [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 19.050 * [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 19.050 * [backup-simplify]: Simplify 0 into 0 19.051 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 19.053 * [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 19.053 * [backup-simplify]: Simplify (- 0) into 0 19.054 * [backup-simplify]: Simplify (+ 0 0) into 0 19.055 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 -1) (* 0 1.0))) into 0 19.057 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* (- 0.25) 0) (* 0 (log (* 2.0 PI))))) into 0 19.073 * [backup-simplify]: Simplify (* (exp (* 0.25 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.25 (log (* 2.0 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.03125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25))) 19.105 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 PI) 0.25) (* 0.03125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25)))) (+ (* (* -0.25 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25))) (* -0.25 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25)))) (* (* 0.03125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25))) (pow (* 2.0 PI) 0.25)))) into (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 19.105 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 19.106 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 n) 1)))) 2) into 0 19.106 * [backup-simplify]: Simplify (- 0) into 0 19.107 * [backup-simplify]: Simplify (+ 0 0) into 0 19.107 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 19.108 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0.5 0) (* 0 (log (/ 1 n))))) into 0 19.108 * [backup-simplify]: Simplify (* (exp (* -0.5 (log (/ 1 n)))) (+ (* (/ (pow (* 0.5 (log (/ 1 n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log (/ 1 n)) 2) (pow (pow n 1.0) 0.5))) 19.124 * [backup-simplify]: Simplify (+ (* (pow (/ 1 n) -0.5) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (+ (* (* 0.5 (* (log (/ 1 n)) (pow (pow n 1.0) 0.5))) (- (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) (* (* 0.125 (* (pow (log (/ 1 n)) 2) (pow (pow n 1.0) 0.5))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) into (- (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.125 (* (pow (log (/ 1 n)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (* 0.25 (* (* (log (* 2.0 PI)) (log (/ 1 n))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) 19.124 * [taylor]: Taking taylor expansion of (- (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.125 (* (pow (log (/ 1 n)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (* 0.25 (* (* (log (* 2.0 PI)) (log (/ 1 n))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) in n 19.124 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.125 (* (pow (log (/ 1 n)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) in n 19.124 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 19.124 * [taylor]: Taking taylor expansion of 0.125 in n 19.124 * [backup-simplify]: Simplify 0.125 into 0.125 19.124 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 19.124 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 PI)) 2) in n 19.124 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 19.125 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 19.125 * [taylor]: Taking taylor expansion of 2.0 in n 19.125 * [backup-simplify]: Simplify 2.0 into 2.0 19.125 * [taylor]: Taking taylor expansion of PI in n 19.125 * [backup-simplify]: Simplify PI into PI 19.125 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 19.126 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 19.126 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 19.126 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 19.127 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 19.127 * [taylor]: Taking taylor expansion of 0.5 in n 19.127 * [backup-simplify]: Simplify 0.5 into 0.5 19.127 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 19.127 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 19.127 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 19.127 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 19.127 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 19.127 * [taylor]: Taking taylor expansion of 1.0 in n 19.127 * [backup-simplify]: Simplify 1.0 into 1.0 19.127 * [taylor]: Taking taylor expansion of (log PI) in n 19.127 * [taylor]: Taking taylor expansion of PI in n 19.127 * [backup-simplify]: Simplify PI into PI 19.127 * [backup-simplify]: Simplify (log PI) into (log PI) 19.128 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 19.130 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 19.130 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 19.130 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 19.130 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 19.130 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 19.130 * [taylor]: Taking taylor expansion of 1.0 in n 19.130 * [backup-simplify]: Simplify 1.0 into 1.0 19.130 * [taylor]: Taking taylor expansion of (log n) in n 19.130 * [taylor]: Taking taylor expansion of n in n 19.130 * [backup-simplify]: Simplify 0 into 0 19.130 * [backup-simplify]: Simplify 1 into 1 19.131 * [backup-simplify]: Simplify (log 1) into 0 19.131 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 19.131 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 19.132 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 19.132 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 19.132 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 19.132 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 19.132 * [taylor]: Taking taylor expansion of 1.0 in n 19.132 * [backup-simplify]: Simplify 1.0 into 1.0 19.132 * [taylor]: Taking taylor expansion of (log 2.0) in n 19.132 * [taylor]: Taking taylor expansion of 2.0 in n 19.132 * [backup-simplify]: Simplify 2.0 into 2.0 19.132 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 19.133 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 19.135 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 19.136 * [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) 19.137 * [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) 19.138 * [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)) 19.140 * [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))) 19.142 * [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) 19.142 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (log (/ 1 n)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 19.142 * [taylor]: Taking taylor expansion of 0.125 in n 19.142 * [backup-simplify]: Simplify 0.125 into 0.125 19.142 * [taylor]: Taking taylor expansion of (* (pow (log (/ 1 n)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 19.142 * [taylor]: Taking taylor expansion of (pow (log (/ 1 n)) 2) in n 19.142 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 19.142 * [taylor]: Taking taylor expansion of (/ 1 n) in n 19.142 * [taylor]: Taking taylor expansion of n in n 19.142 * [backup-simplify]: Simplify 0 into 0 19.142 * [backup-simplify]: Simplify 1 into 1 19.142 * [backup-simplify]: Simplify (/ 1 1) into 1 19.143 * [backup-simplify]: Simplify (log 1) into 0 19.143 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 19.143 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 19.143 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 19.143 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 19.143 * [taylor]: Taking taylor expansion of 0.5 in n 19.143 * [backup-simplify]: Simplify 0.5 into 0.5 19.143 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 19.143 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 19.143 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 19.144 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 19.144 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 19.144 * [taylor]: Taking taylor expansion of 1.0 in n 19.144 * [backup-simplify]: Simplify 1.0 into 1.0 19.144 * [taylor]: Taking taylor expansion of (log PI) in n 19.144 * [taylor]: Taking taylor expansion of PI in n 19.144 * [backup-simplify]: Simplify PI into PI 19.144 * [backup-simplify]: Simplify (log PI) into (log PI) 19.145 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 19.146 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 19.146 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 19.146 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 19.146 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 19.146 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 19.146 * [taylor]: Taking taylor expansion of 1.0 in n 19.146 * [backup-simplify]: Simplify 1.0 into 1.0 19.146 * [taylor]: Taking taylor expansion of (log n) in n 19.146 * [taylor]: Taking taylor expansion of n in n 19.146 * [backup-simplify]: Simplify 0 into 0 19.146 * [backup-simplify]: Simplify 1 into 1 19.146 * [backup-simplify]: Simplify (log 1) into 0 19.147 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 19.147 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 19.147 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 19.147 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 19.147 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 19.147 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 19.147 * [taylor]: Taking taylor expansion of 1.0 in n 19.147 * [backup-simplify]: Simplify 1.0 into 1.0 19.147 * [taylor]: Taking taylor expansion of (log 2.0) in n 19.147 * [taylor]: Taking taylor expansion of 2.0 in n 19.147 * [backup-simplify]: Simplify 2.0 into 2.0 19.147 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 19.148 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 19.149 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 19.149 * [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) 19.150 * [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) 19.151 * [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)) 19.151 * [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))) 19.152 * [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) 19.152 * [taylor]: Taking taylor expansion of (* 0.25 (* (* (log (* 2.0 PI)) (log (/ 1 n))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 19.152 * [taylor]: Taking taylor expansion of 0.25 in n 19.152 * [backup-simplify]: Simplify 0.25 into 0.25 19.152 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 PI)) (log (/ 1 n))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 19.152 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (log (/ 1 n))) in n 19.152 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 19.152 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 19.153 * [taylor]: Taking taylor expansion of 2.0 in n 19.153 * [backup-simplify]: Simplify 2.0 into 2.0 19.153 * [taylor]: Taking taylor expansion of PI in n 19.153 * [backup-simplify]: Simplify PI into PI 19.153 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 19.154 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 19.154 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 19.154 * [taylor]: Taking taylor expansion of (/ 1 n) in n 19.154 * [taylor]: Taking taylor expansion of n in n 19.154 * [backup-simplify]: Simplify 0 into 0 19.154 * [backup-simplify]: Simplify 1 into 1 19.154 * [backup-simplify]: Simplify (/ 1 1) into 1 19.154 * [backup-simplify]: Simplify (log 1) into 0 19.154 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 19.154 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 19.154 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 19.154 * [taylor]: Taking taylor expansion of 0.5 in n 19.154 * [backup-simplify]: Simplify 0.5 into 0.5 19.154 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 19.154 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 19.154 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 19.154 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 19.154 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 19.154 * [taylor]: Taking taylor expansion of 1.0 in n 19.154 * [backup-simplify]: Simplify 1.0 into 1.0 19.154 * [taylor]: Taking taylor expansion of (log PI) in n 19.154 * [taylor]: Taking taylor expansion of PI in n 19.154 * [backup-simplify]: Simplify PI into PI 19.155 * [backup-simplify]: Simplify (log PI) into (log PI) 19.155 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 19.156 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 19.156 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 19.156 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 19.156 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 19.156 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 19.156 * [taylor]: Taking taylor expansion of 1.0 in n 19.156 * [backup-simplify]: Simplify 1.0 into 1.0 19.156 * [taylor]: Taking taylor expansion of (log n) in n 19.156 * [taylor]: Taking taylor expansion of n in n 19.156 * [backup-simplify]: Simplify 0 into 0 19.156 * [backup-simplify]: Simplify 1 into 1 19.157 * [backup-simplify]: Simplify (log 1) into 0 19.157 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 19.157 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 19.157 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 19.157 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 19.157 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 19.157 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 19.157 * [taylor]: Taking taylor expansion of 1.0 in n 19.157 * [backup-simplify]: Simplify 1.0 into 1.0 19.157 * [taylor]: Taking taylor expansion of (log 2.0) in n 19.157 * [taylor]: Taking taylor expansion of 2.0 in n 19.157 * [backup-simplify]: Simplify 2.0 into 2.0 19.157 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 19.166 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 19.167 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 19.168 * [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) 19.168 * [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) 19.169 * [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)) 19.170 * [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))) 19.171 * [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) 19.173 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (log (* 2.0 PI))) into (pow (log (* 2.0 PI)) 2) 19.175 * [backup-simplify]: Simplify (* (pow (log (* 2.0 PI)) 2) (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 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 19.177 * [backup-simplify]: Simplify (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) into (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 19.178 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 19.178 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 19.178 * [backup-simplify]: Simplify (* (- (log n)) (- (log n))) into (pow (log n) 2) 19.180 * [backup-simplify]: Simplify (* (pow (log n) 2) (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 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2)) 19.181 * [backup-simplify]: Simplify (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) into (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 19.186 * [backup-simplify]: Simplify (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) into (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) 19.187 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 19.188 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (- (log n))) into (* -1 (* (log (* 2.0 PI)) (log n))) 19.191 * [backup-simplify]: Simplify (* (* -1 (* (log (* 2.0 PI)) (log n))) (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 (* -1 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) 19.193 * [backup-simplify]: Simplify (* 0.25 (* -1 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))) into (* -0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) 19.196 * [backup-simplify]: Simplify (- (* -0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))) into (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) 19.204 * [backup-simplify]: Simplify (+ (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))) into (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))) 19.212 * [backup-simplify]: Simplify (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))) into (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))) 19.229 * [backup-simplify]: Simplify (+ (* (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))) (pow (* 1 k) 2)) (+ (* (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) (* 1 k)) (pow (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) 1.0) 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (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))) (pow (pow (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) 1.0) 1.0) 0.5)))) (+ (* 0.5 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) 19.231 * [backup-simplify]: Simplify (* (pow (* 2.0 PI) (/ (/ (- 1.0 (/ 1 k)) 2.0) 2)) (* (pow (* 2.0 PI) (/ (/ (- 1.0 (/ 1 k)) 2.0) 2)) (pow (/ 1 (/ 1 n)) (* -0.5 (- 1.0 (/ 1 k)))))) into (* (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2) (pow n (* -0.5 (- 1.0 (/ 1 k))))) 19.231 * [approximate]: Taking taylor expansion of (* (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2) (pow n (* -0.5 (- 1.0 (/ 1 k))))) in (k n) around 0 19.231 * [taylor]: Taking taylor expansion of (* (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2) (pow n (* -0.5 (- 1.0 (/ 1 k))))) in n 19.231 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2) in n 19.231 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) in n 19.231 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in n 19.231 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in n 19.231 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 19.231 * [taylor]: Taking taylor expansion of 0.25 in n 19.231 * [backup-simplify]: Simplify 0.25 into 0.25 19.231 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 19.231 * [taylor]: Taking taylor expansion of 1.0 in n 19.231 * [backup-simplify]: Simplify 1.0 into 1.0 19.232 * [taylor]: Taking taylor expansion of (/ 1 k) in n 19.232 * [taylor]: Taking taylor expansion of k in n 19.232 * [backup-simplify]: Simplify k into k 19.232 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 19.232 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 19.232 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 19.232 * [taylor]: Taking taylor expansion of 2.0 in n 19.232 * [backup-simplify]: Simplify 2.0 into 2.0 19.232 * [taylor]: Taking taylor expansion of PI in n 19.232 * [backup-simplify]: Simplify PI into PI 19.232 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 19.233 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 19.233 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 19.233 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 19.233 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 19.234 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) into (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) 19.235 * [backup-simplify]: Simplify (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 19.235 * [taylor]: Taking taylor expansion of (pow n (* -0.5 (- 1.0 (/ 1 k)))) in n 19.235 * [taylor]: Taking taylor expansion of (exp (* (* -0.5 (- 1.0 (/ 1 k))) (log n))) in n 19.235 * [taylor]: Taking taylor expansion of (* (* -0.5 (- 1.0 (/ 1 k))) (log n)) in n 19.235 * [taylor]: Taking taylor expansion of (* -0.5 (- 1.0 (/ 1 k))) in n 19.235 * [taylor]: Taking taylor expansion of -0.5 in n 19.235 * [backup-simplify]: Simplify -0.5 into -0.5 19.235 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 19.235 * [taylor]: Taking taylor expansion of 1.0 in n 19.235 * [backup-simplify]: Simplify 1.0 into 1.0 19.235 * [taylor]: Taking taylor expansion of (/ 1 k) in n 19.235 * [taylor]: Taking taylor expansion of k in n 19.235 * [backup-simplify]: Simplify k into k 19.235 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 19.235 * [taylor]: Taking taylor expansion of (log n) in n 19.235 * [taylor]: Taking taylor expansion of n in n 19.235 * [backup-simplify]: Simplify 0 into 0 19.235 * [backup-simplify]: Simplify 1 into 1 19.235 * [backup-simplify]: Simplify (log 1) into 0 19.235 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 19.235 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 19.235 * [backup-simplify]: Simplify (* -0.5 (- 1.0 (/ 1 k))) into (* -0.5 (- 1.0 (/ 1 k))) 19.236 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 19.236 * [backup-simplify]: Simplify (* (* -0.5 (- 1.0 (/ 1 k))) (log n)) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 19.236 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 19.236 * [taylor]: Taking taylor expansion of (* (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2) (pow n (* -0.5 (- 1.0 (/ 1 k))))) in k 19.236 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2) in k 19.236 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) in k 19.236 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 19.236 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 19.236 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 19.236 * [taylor]: Taking taylor expansion of 0.25 in k 19.236 * [backup-simplify]: Simplify 0.25 into 0.25 19.236 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 19.236 * [taylor]: Taking taylor expansion of 1.0 in k 19.236 * [backup-simplify]: Simplify 1.0 into 1.0 19.236 * [taylor]: Taking taylor expansion of (/ 1 k) in k 19.236 * [taylor]: Taking taylor expansion of k in k 19.236 * [backup-simplify]: Simplify 0 into 0 19.236 * [backup-simplify]: Simplify 1 into 1 19.236 * [backup-simplify]: Simplify (/ 1 1) into 1 19.237 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 19.237 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 19.237 * [taylor]: Taking taylor expansion of 2.0 in k 19.237 * [backup-simplify]: Simplify 2.0 into 2.0 19.237 * [taylor]: Taking taylor expansion of PI in k 19.237 * [backup-simplify]: Simplify PI into PI 19.237 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 19.238 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 19.238 * [backup-simplify]: Simplify (- 1) into -1 19.238 * [backup-simplify]: Simplify (+ 0 -1) into -1 19.238 * [backup-simplify]: Simplify (* 0.25 -1) into -0.25 19.239 * [backup-simplify]: Simplify (* -0.25 (log (* 2.0 PI))) into (* -0.25 (log (* 2.0 PI))) 19.240 * [backup-simplify]: Simplify (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 19.240 * [taylor]: Taking taylor expansion of (pow n (* -0.5 (- 1.0 (/ 1 k)))) in k 19.240 * [taylor]: Taking taylor expansion of (exp (* (* -0.5 (- 1.0 (/ 1 k))) (log n))) in k 19.240 * [taylor]: Taking taylor expansion of (* (* -0.5 (- 1.0 (/ 1 k))) (log n)) in k 19.240 * [taylor]: Taking taylor expansion of (* -0.5 (- 1.0 (/ 1 k))) in k 19.240 * [taylor]: Taking taylor expansion of -0.5 in k 19.240 * [backup-simplify]: Simplify -0.5 into -0.5 19.240 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 19.240 * [taylor]: Taking taylor expansion of 1.0 in k 19.240 * [backup-simplify]: Simplify 1.0 into 1.0 19.240 * [taylor]: Taking taylor expansion of (/ 1 k) in k 19.240 * [taylor]: Taking taylor expansion of k in k 19.240 * [backup-simplify]: Simplify 0 into 0 19.240 * [backup-simplify]: Simplify 1 into 1 19.241 * [backup-simplify]: Simplify (/ 1 1) into 1 19.241 * [taylor]: Taking taylor expansion of (log n) in k 19.241 * [taylor]: Taking taylor expansion of n in k 19.241 * [backup-simplify]: Simplify n into n 19.241 * [backup-simplify]: Simplify (log n) into (log n) 19.241 * [backup-simplify]: Simplify (- 1) into -1 19.241 * [backup-simplify]: Simplify (+ 0 -1) into -1 19.241 * [backup-simplify]: Simplify (* -0.5 -1) into 0.5 19.241 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 19.242 * [backup-simplify]: Simplify (exp (* (* -0.5 (- 1.0 (/ 1 k))) (log n))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 19.242 * [taylor]: Taking taylor expansion of (* (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2) (pow n (* -0.5 (- 1.0 (/ 1 k))))) in k 19.242 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2) in k 19.242 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) in k 19.242 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 19.242 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 19.242 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 19.242 * [taylor]: Taking taylor expansion of 0.25 in k 19.242 * [backup-simplify]: Simplify 0.25 into 0.25 19.242 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 19.242 * [taylor]: Taking taylor expansion of 1.0 in k 19.242 * [backup-simplify]: Simplify 1.0 into 1.0 19.242 * [taylor]: Taking taylor expansion of (/ 1 k) in k 19.242 * [taylor]: Taking taylor expansion of k in k 19.242 * [backup-simplify]: Simplify 0 into 0 19.242 * [backup-simplify]: Simplify 1 into 1 19.242 * [backup-simplify]: Simplify (/ 1 1) into 1 19.242 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 19.242 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 19.242 * [taylor]: Taking taylor expansion of 2.0 in k 19.242 * [backup-simplify]: Simplify 2.0 into 2.0 19.242 * [taylor]: Taking taylor expansion of PI in k 19.242 * [backup-simplify]: Simplify PI into PI 19.243 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 19.243 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 19.243 * [backup-simplify]: Simplify (- 1) into -1 19.244 * [backup-simplify]: Simplify (+ 0 -1) into -1 19.244 * [backup-simplify]: Simplify (* 0.25 -1) into -0.25 19.245 * [backup-simplify]: Simplify (* -0.25 (log (* 2.0 PI))) into (* -0.25 (log (* 2.0 PI))) 19.246 * [backup-simplify]: Simplify (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 19.246 * [taylor]: Taking taylor expansion of (pow n (* -0.5 (- 1.0 (/ 1 k)))) in k 19.246 * [taylor]: Taking taylor expansion of (exp (* (* -0.5 (- 1.0 (/ 1 k))) (log n))) in k 19.246 * [taylor]: Taking taylor expansion of (* (* -0.5 (- 1.0 (/ 1 k))) (log n)) in k 19.246 * [taylor]: Taking taylor expansion of (* -0.5 (- 1.0 (/ 1 k))) in k 19.246 * [taylor]: Taking taylor expansion of -0.5 in k 19.246 * [backup-simplify]: Simplify -0.5 into -0.5 19.246 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 19.246 * [taylor]: Taking taylor expansion of 1.0 in k 19.246 * [backup-simplify]: Simplify 1.0 into 1.0 19.246 * [taylor]: Taking taylor expansion of (/ 1 k) in k 19.246 * [taylor]: Taking taylor expansion of k in k 19.246 * [backup-simplify]: Simplify 0 into 0 19.246 * [backup-simplify]: Simplify 1 into 1 19.246 * [backup-simplify]: Simplify (/ 1 1) into 1 19.246 * [taylor]: Taking taylor expansion of (log n) in k 19.246 * [taylor]: Taking taylor expansion of n in k 19.246 * [backup-simplify]: Simplify n into n 19.246 * [backup-simplify]: Simplify (log n) into (log n) 19.246 * [backup-simplify]: Simplify (- 1) into -1 19.247 * [backup-simplify]: Simplify (+ 0 -1) into -1 19.247 * [backup-simplify]: Simplify (* -0.5 -1) into 0.5 19.247 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 19.247 * [backup-simplify]: Simplify (exp (* (* -0.5 (- 1.0 (/ 1 k))) (log n))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 19.249 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2) 19.250 * [backup-simplify]: Simplify (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2) (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k)))))) into (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) 19.250 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) in n 19.250 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in n 19.250 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in n 19.250 * [taylor]: Taking taylor expansion of -0.5 in n 19.250 * [backup-simplify]: Simplify -0.5 into -0.5 19.250 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in n 19.250 * [taylor]: Taking taylor expansion of (log n) in n 19.250 * [taylor]: Taking taylor expansion of n in n 19.250 * [backup-simplify]: Simplify 0 into 0 19.250 * [backup-simplify]: Simplify 1 into 1 19.250 * [backup-simplify]: Simplify (log 1) into 0 19.250 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 19.250 * [taylor]: Taking taylor expansion of 1.0 in n 19.250 * [backup-simplify]: Simplify 1.0 into 1.0 19.250 * [taylor]: Taking taylor expansion of (/ 1 k) in n 19.250 * [taylor]: Taking taylor expansion of k in n 19.250 * [backup-simplify]: Simplify k into k 19.250 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 19.250 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 19.250 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 19.251 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 19.251 * [backup-simplify]: Simplify (* (log n) (- 1.0 (/ 1 k))) into (* (log n) (- 1.0 (/ 1 k))) 19.251 * [backup-simplify]: Simplify (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 19.251 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 19.251 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2) in n 19.251 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 19.251 * [taylor]: Taking taylor expansion of (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 19.251 * [taylor]: Taking taylor expansion of 0.25 in n 19.251 * [backup-simplify]: Simplify 0.25 into 0.25 19.251 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 19.251 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 19.251 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 19.251 * [taylor]: Taking taylor expansion of 2.0 in n 19.251 * [backup-simplify]: Simplify 2.0 into 2.0 19.251 * [taylor]: Taking taylor expansion of PI in n 19.251 * [backup-simplify]: Simplify PI into PI 19.251 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 19.252 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 19.252 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 19.252 * [taylor]: Taking taylor expansion of 1.0 in n 19.252 * [backup-simplify]: Simplify 1.0 into 1.0 19.252 * [taylor]: Taking taylor expansion of (/ 1 k) in n 19.252 * [taylor]: Taking taylor expansion of k in n 19.252 * [backup-simplify]: Simplify k into k 19.252 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 19.252 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 19.252 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 19.253 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) into (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) 19.254 * [backup-simplify]: Simplify (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) into (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) 19.254 * [backup-simplify]: Simplify (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 19.256 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2) 19.257 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) into (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) 19.258 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) into (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) 19.259 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into 0 19.260 * [backup-simplify]: Simplify (+ (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2) 0) (* 0 (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))))) into 0 19.260 * [taylor]: Taking taylor expansion of 0 in n 19.260 * [backup-simplify]: Simplify 0 into 0 19.260 * [backup-simplify]: Simplify 0 into 0 19.260 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 19.261 * [backup-simplify]: Simplify (- 0) into 0 19.261 * [backup-simplify]: Simplify (+ 0 0) into 0 19.261 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 19.262 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 19.263 * [backup-simplify]: Simplify (+ (* (log (* 2.0 PI)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 19.264 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into 0 19.265 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 19.266 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into 0 19.267 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 19.267 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 19.267 * [backup-simplify]: Simplify (- 0) into 0 19.267 * [backup-simplify]: Simplify (+ 0 0) into 0 19.268 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 19.268 * [backup-simplify]: Simplify (+ (* (log n) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 19.268 * [backup-simplify]: Simplify (+ (* -0.5 0) (* 0 (* (log n) (- 1.0 (/ 1 k))))) into 0 19.269 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 19.270 * [backup-simplify]: Simplify (+ (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 0) (* 0 (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))) into 0 19.270 * [backup-simplify]: Simplify 0 into 0 19.272 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) into 0 19.273 * [backup-simplify]: Simplify (+ (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2) 0) (+ (* 0 0) (* 0 (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k)))))))) into 0 19.273 * [taylor]: Taking taylor expansion of 0 in n 19.273 * [backup-simplify]: Simplify 0 into 0 19.273 * [backup-simplify]: Simplify 0 into 0 19.273 * [backup-simplify]: Simplify 0 into 0 19.273 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 19.273 * [backup-simplify]: Simplify (- 0) into 0 19.274 * [backup-simplify]: Simplify (+ 0 0) into 0 19.274 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 19.276 * [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 19.277 * [backup-simplify]: Simplify (+ (* (log (* 2.0 PI)) 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 19.278 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into 0 19.279 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 19.288 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) into 0 19.289 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 19.289 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 19.289 * [backup-simplify]: Simplify (- 0) into 0 19.289 * [backup-simplify]: Simplify (+ 0 0) into 0 19.291 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 19.291 * [backup-simplify]: Simplify (+ (* (log n) 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 19.292 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (* 0 (* (log n) (- 1.0 (/ 1 k)))))) into 0 19.293 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 19.295 * [backup-simplify]: Simplify (+ (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) into 0 19.295 * [backup-simplify]: Simplify 0 into 0 19.298 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))))) into 0 19.300 * [backup-simplify]: Simplify (+ (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))))))) into 0 19.300 * [taylor]: Taking taylor expansion of 0 in n 19.300 * [backup-simplify]: Simplify 0 into 0 19.300 * [backup-simplify]: Simplify 0 into 0 19.302 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))) 2)) into (* (pow (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) 2) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))) 19.304 * [backup-simplify]: Simplify (* (pow (* 2.0 PI) (/ (/ (- 1.0 (/ 1 (- k))) 2.0) 2)) (* (pow (* 2.0 PI) (/ (/ (- 1.0 (/ 1 (- k))) 2.0) 2)) (pow (/ 1 (/ 1 (- n))) (* -0.5 (- 1.0 (/ 1 (- k))))))) into (* (pow (* -1 n) (* -0.5 (+ (/ 1 k) 1.0))) (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2)) 19.304 * [approximate]: Taking taylor expansion of (* (pow (* -1 n) (* -0.5 (+ (/ 1 k) 1.0))) (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2)) in (k n) around 0 19.304 * [taylor]: Taking taylor expansion of (* (pow (* -1 n) (* -0.5 (+ (/ 1 k) 1.0))) (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2)) in n 19.304 * [taylor]: Taking taylor expansion of (pow (* -1 n) (* -0.5 (+ (/ 1 k) 1.0))) in n 19.304 * [taylor]: Taking taylor expansion of (exp (* (* -0.5 (+ (/ 1 k) 1.0)) (log (* -1 n)))) in n 19.304 * [taylor]: Taking taylor expansion of (* (* -0.5 (+ (/ 1 k) 1.0)) (log (* -1 n))) in n 19.304 * [taylor]: Taking taylor expansion of (* -0.5 (+ (/ 1 k) 1.0)) in n 19.304 * [taylor]: Taking taylor expansion of -0.5 in n 19.304 * [backup-simplify]: Simplify -0.5 into -0.5 19.304 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 19.304 * [taylor]: Taking taylor expansion of (/ 1 k) in n 19.304 * [taylor]: Taking taylor expansion of k in n 19.304 * [backup-simplify]: Simplify k into k 19.304 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 19.304 * [taylor]: Taking taylor expansion of 1.0 in n 19.304 * [backup-simplify]: Simplify 1.0 into 1.0 19.304 * [taylor]: Taking taylor expansion of (log (* -1 n)) in n 19.304 * [taylor]: Taking taylor expansion of (* -1 n) in n 19.305 * [taylor]: Taking taylor expansion of -1 in n 19.305 * [backup-simplify]: Simplify -1 into -1 19.305 * [taylor]: Taking taylor expansion of n in n 19.305 * [backup-simplify]: Simplify 0 into 0 19.305 * [backup-simplify]: Simplify 1 into 1 19.305 * [backup-simplify]: Simplify (* -1 0) into 0 19.306 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 19.306 * [backup-simplify]: Simplify (log -1) into (log -1) 19.306 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 19.306 * [backup-simplify]: Simplify (* -0.5 (+ (/ 1 k) 1.0)) into (* -0.5 (+ (/ 1 k) 1.0)) 19.307 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log -1)) into (+ (log -1) (log n)) 19.308 * [backup-simplify]: Simplify (* (* -0.5 (+ (/ 1 k) 1.0)) (+ (log -1) (log n))) into (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0))) 19.308 * [backup-simplify]: Simplify (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0)))) 19.308 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2) in n 19.308 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) in n 19.308 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in n 19.308 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in n 19.308 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 19.309 * [taylor]: Taking taylor expansion of 0.25 in n 19.309 * [backup-simplify]: Simplify 0.25 into 0.25 19.309 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 19.309 * [taylor]: Taking taylor expansion of (/ 1 k) in n 19.309 * [taylor]: Taking taylor expansion of k in n 19.309 * [backup-simplify]: Simplify k into k 19.309 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 19.309 * [taylor]: Taking taylor expansion of 1.0 in n 19.309 * [backup-simplify]: Simplify 1.0 into 1.0 19.309 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 19.309 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 19.309 * [taylor]: Taking taylor expansion of 2.0 in n 19.309 * [backup-simplify]: Simplify 2.0 into 2.0 19.309 * [taylor]: Taking taylor expansion of PI in n 19.309 * [backup-simplify]: Simplify PI into PI 19.309 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 19.310 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 19.310 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 19.310 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 19.311 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) into (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) 19.311 * [backup-simplify]: Simplify (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 19.312 * [taylor]: Taking taylor expansion of (* (pow (* -1 n) (* -0.5 (+ (/ 1 k) 1.0))) (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2)) in k 19.312 * [taylor]: Taking taylor expansion of (pow (* -1 n) (* -0.5 (+ (/ 1 k) 1.0))) in k 19.312 * [taylor]: Taking taylor expansion of (exp (* (* -0.5 (+ (/ 1 k) 1.0)) (log (* -1 n)))) in k 19.312 * [taylor]: Taking taylor expansion of (* (* -0.5 (+ (/ 1 k) 1.0)) (log (* -1 n))) in k 19.312 * [taylor]: Taking taylor expansion of (* -0.5 (+ (/ 1 k) 1.0)) in k 19.312 * [taylor]: Taking taylor expansion of -0.5 in k 19.312 * [backup-simplify]: Simplify -0.5 into -0.5 19.312 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 19.312 * [taylor]: Taking taylor expansion of (/ 1 k) in k 19.312 * [taylor]: Taking taylor expansion of k in k 19.312 * [backup-simplify]: Simplify 0 into 0 19.312 * [backup-simplify]: Simplify 1 into 1 19.312 * [backup-simplify]: Simplify (/ 1 1) into 1 19.312 * [taylor]: Taking taylor expansion of 1.0 in k 19.312 * [backup-simplify]: Simplify 1.0 into 1.0 19.312 * [taylor]: Taking taylor expansion of (log (* -1 n)) in k 19.312 * [taylor]: Taking taylor expansion of (* -1 n) in k 19.312 * [taylor]: Taking taylor expansion of -1 in k 19.312 * [backup-simplify]: Simplify -1 into -1 19.312 * [taylor]: Taking taylor expansion of n in k 19.312 * [backup-simplify]: Simplify n into n 19.312 * [backup-simplify]: Simplify (* -1 n) into (* -1 n) 19.312 * [backup-simplify]: Simplify (log (* -1 n)) into (log (* -1 n)) 19.312 * [backup-simplify]: Simplify (+ 1 0) into 1 19.313 * [backup-simplify]: Simplify (* -0.5 1) into -0.5 19.313 * [backup-simplify]: Simplify (* -0.5 (log (* -1 n))) into (* -0.5 (log (* -1 n))) 19.313 * [backup-simplify]: Simplify (exp (* (* -0.5 (+ (/ 1 k) 1.0)) (log (* -1 n)))) into (exp (* -0.5 (* (+ (/ 1 k) 1.0) (log (* -1 n))))) 19.313 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2) in k 19.313 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) in k 19.313 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 19.313 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 19.313 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 19.313 * [taylor]: Taking taylor expansion of 0.25 in k 19.313 * [backup-simplify]: Simplify 0.25 into 0.25 19.313 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 19.313 * [taylor]: Taking taylor expansion of (/ 1 k) in k 19.313 * [taylor]: Taking taylor expansion of k in k 19.313 * [backup-simplify]: Simplify 0 into 0 19.313 * [backup-simplify]: Simplify 1 into 1 19.313 * [backup-simplify]: Simplify (/ 1 1) into 1 19.313 * [taylor]: Taking taylor expansion of 1.0 in k 19.313 * [backup-simplify]: Simplify 1.0 into 1.0 19.314 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 19.314 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 19.314 * [taylor]: Taking taylor expansion of 2.0 in k 19.314 * [backup-simplify]: Simplify 2.0 into 2.0 19.314 * [taylor]: Taking taylor expansion of PI in k 19.314 * [backup-simplify]: Simplify PI into PI 19.314 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 19.315 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 19.315 * [backup-simplify]: Simplify (+ 1 0) into 1 19.315 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 19.316 * [backup-simplify]: Simplify (* 0.25 (log (* 2.0 PI))) into (* 0.25 (log (* 2.0 PI))) 19.317 * [backup-simplify]: Simplify (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 19.317 * [taylor]: Taking taylor expansion of (* (pow (* -1 n) (* -0.5 (+ (/ 1 k) 1.0))) (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2)) in k 19.317 * [taylor]: Taking taylor expansion of (pow (* -1 n) (* -0.5 (+ (/ 1 k) 1.0))) in k 19.317 * [taylor]: Taking taylor expansion of (exp (* (* -0.5 (+ (/ 1 k) 1.0)) (log (* -1 n)))) in k 19.317 * [taylor]: Taking taylor expansion of (* (* -0.5 (+ (/ 1 k) 1.0)) (log (* -1 n))) in k 19.317 * [taylor]: Taking taylor expansion of (* -0.5 (+ (/ 1 k) 1.0)) in k 19.317 * [taylor]: Taking taylor expansion of -0.5 in k 19.317 * [backup-simplify]: Simplify -0.5 into -0.5 19.317 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 19.317 * [taylor]: Taking taylor expansion of (/ 1 k) in k 19.317 * [taylor]: Taking taylor expansion of k in k 19.317 * [backup-simplify]: Simplify 0 into 0 19.317 * [backup-simplify]: Simplify 1 into 1 19.317 * [backup-simplify]: Simplify (/ 1 1) into 1 19.317 * [taylor]: Taking taylor expansion of 1.0 in k 19.317 * [backup-simplify]: Simplify 1.0 into 1.0 19.317 * [taylor]: Taking taylor expansion of (log (* -1 n)) in k 19.317 * [taylor]: Taking taylor expansion of (* -1 n) in k 19.317 * [taylor]: Taking taylor expansion of -1 in k 19.317 * [backup-simplify]: Simplify -1 into -1 19.317 * [taylor]: Taking taylor expansion of n in k 19.317 * [backup-simplify]: Simplify n into n 19.317 * [backup-simplify]: Simplify (* -1 n) into (* -1 n) 19.318 * [backup-simplify]: Simplify (log (* -1 n)) into (log (* -1 n)) 19.318 * [backup-simplify]: Simplify (+ 1 0) into 1 19.318 * [backup-simplify]: Simplify (* -0.5 1) into -0.5 19.318 * [backup-simplify]: Simplify (* -0.5 (log (* -1 n))) into (* -0.5 (log (* -1 n))) 19.318 * [backup-simplify]: Simplify (exp (* (* -0.5 (+ (/ 1 k) 1.0)) (log (* -1 n)))) into (exp (* -0.5 (* (+ (/ 1 k) 1.0) (log (* -1 n))))) 19.318 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2) in k 19.318 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) in k 19.318 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 19.318 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 19.318 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 19.318 * [taylor]: Taking taylor expansion of 0.25 in k 19.318 * [backup-simplify]: Simplify 0.25 into 0.25 19.318 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 19.318 * [taylor]: Taking taylor expansion of (/ 1 k) in k 19.318 * [taylor]: Taking taylor expansion of k in k 19.318 * [backup-simplify]: Simplify 0 into 0 19.318 * [backup-simplify]: Simplify 1 into 1 19.319 * [backup-simplify]: Simplify (/ 1 1) into 1 19.319 * [taylor]: Taking taylor expansion of 1.0 in k 19.319 * [backup-simplify]: Simplify 1.0 into 1.0 19.319 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 19.319 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 19.319 * [taylor]: Taking taylor expansion of 2.0 in k 19.319 * [backup-simplify]: Simplify 2.0 into 2.0 19.319 * [taylor]: Taking taylor expansion of PI in k 19.319 * [backup-simplify]: Simplify PI into PI 19.319 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 19.320 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 19.320 * [backup-simplify]: Simplify (+ 1 0) into 1 19.320 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 19.321 * [backup-simplify]: Simplify (* 0.25 (log (* 2.0 PI))) into (* 0.25 (log (* 2.0 PI))) 19.322 * [backup-simplify]: Simplify (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 19.324 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) 19.325 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (+ (/ 1 k) 1.0) (log (* -1 n))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2)) into (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* -0.5 (* (+ (/ 1 k) 1.0) (log (* -1 n)))))) 19.325 * [taylor]: Taking taylor expansion of (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* -0.5 (* (+ (/ 1 k) 1.0) (log (* -1 n)))))) in n 19.325 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) in n 19.325 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n 19.325 * [taylor]: Taking taylor expansion of (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n 19.325 * [taylor]: Taking taylor expansion of 0.25 in n 19.325 * [backup-simplify]: Simplify 0.25 into 0.25 19.325 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n 19.325 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 19.325 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 19.325 * [taylor]: Taking taylor expansion of 2.0 in n 19.325 * [backup-simplify]: Simplify 2.0 into 2.0 19.325 * [taylor]: Taking taylor expansion of PI in n 19.325 * [backup-simplify]: Simplify PI into PI 19.325 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 19.326 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 19.326 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 19.326 * [taylor]: Taking taylor expansion of (/ 1 k) in n 19.327 * [taylor]: Taking taylor expansion of k in n 19.327 * [backup-simplify]: Simplify k into k 19.327 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 19.327 * [taylor]: Taking taylor expansion of 1.0 in n 19.327 * [backup-simplify]: Simplify 1.0 into 1.0 19.327 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 19.327 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) into (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) 19.328 * [backup-simplify]: Simplify (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) into (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) 19.329 * [backup-simplify]: Simplify (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 19.329 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (+ (/ 1 k) 1.0) (log (* -1 n))))) in n 19.329 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 k) 1.0) (log (* -1 n)))) in n 19.329 * [taylor]: Taking taylor expansion of -0.5 in n 19.329 * [backup-simplify]: Simplify -0.5 into -0.5 19.329 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -1 n))) in n 19.330 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 19.330 * [taylor]: Taking taylor expansion of (/ 1 k) in n 19.330 * [taylor]: Taking taylor expansion of k in n 19.330 * [backup-simplify]: Simplify k into k 19.330 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 19.330 * [taylor]: Taking taylor expansion of 1.0 in n 19.330 * [backup-simplify]: Simplify 1.0 into 1.0 19.330 * [taylor]: Taking taylor expansion of (log (* -1 n)) in n 19.330 * [taylor]: Taking taylor expansion of (* -1 n) in n 19.330 * [taylor]: Taking taylor expansion of -1 in n 19.330 * [backup-simplify]: Simplify -1 into -1 19.330 * [taylor]: Taking taylor expansion of n in n 19.330 * [backup-simplify]: Simplify 0 into 0 19.330 * [backup-simplify]: Simplify 1 into 1 19.330 * [backup-simplify]: Simplify (* -1 0) into 0 19.331 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 19.332 * [backup-simplify]: Simplify (log -1) into (log -1) 19.332 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 19.333 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log -1)) into (+ (log -1) (log n)) 19.333 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (+ (log -1) (log n))) into (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0)) 19.334 * [backup-simplify]: Simplify (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0))) into (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0))) 19.335 * [backup-simplify]: Simplify (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0)))) 19.337 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) 19.339 * [backup-simplify]: Simplify (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0))))) into (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0))))) 19.341 * [backup-simplify]: Simplify (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0))))) into (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0))))) 19.344 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into 0 19.346 * [backup-simplify]: Simplify (+ (* (exp (* -0.5 (* (+ (/ 1 k) 1.0) (log (* -1 n))))) 0) (* 0 (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2))) into 0 19.346 * [taylor]: Taking taylor expansion of 0 in n 19.346 * [backup-simplify]: Simplify 0 into 0 19.347 * [backup-simplify]: Simplify 0 into 0 19.348 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 19.349 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 19.350 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 19.350 * [backup-simplify]: Simplify (+ 0 0) into 0 19.351 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log -1)) into (+ (log -1) (log n)) 19.352 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (+ (log -1) (log n)))) into 0 19.353 * [backup-simplify]: Simplify (+ (* -0.5 0) (* 0 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0)))) into 0 19.354 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 19.354 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 19.355 * [backup-simplify]: Simplify (+ 0 0) into 0 19.356 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 19.357 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 19.358 * [backup-simplify]: Simplify (+ (* (log (* 2.0 PI)) 0) (* 0 (+ (/ 1 k) 1.0))) into 0 19.361 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into 0 19.363 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 19.365 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into 0 19.368 * [backup-simplify]: Simplify (+ (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) 0) (* 0 (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0)))))) into 0 19.368 * [backup-simplify]: Simplify 0 into 0 19.370 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 0) (+ (* 0 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) into 0 19.372 * [backup-simplify]: Simplify (+ (* (exp (* -0.5 (* (+ (/ 1 k) 1.0) (log (* -1 n))))) 0) (+ (* 0 0) (* 0 (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2)))) into 0 19.372 * [taylor]: Taking taylor expansion of 0 in n 19.372 * [backup-simplify]: Simplify 0 into 0 19.372 * [backup-simplify]: Simplify 0 into 0 19.372 * [backup-simplify]: Simplify 0 into 0 19.374 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 19.377 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 19.377 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 19.377 * [backup-simplify]: Simplify (+ 0 0) into 0 19.378 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log -1)) into (+ (log -1) (log n)) 19.379 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (+ (* 0 0) (* 0 (+ (log -1) (log n))))) into 0 19.381 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (* 0 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0))))) into 0 19.383 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 19.383 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 19.384 * [backup-simplify]: Simplify (+ 0 0) into 0 19.385 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 19.389 * [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 19.391 * [backup-simplify]: Simplify (+ (* (log (* 2.0 PI)) 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 19.393 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into 0 19.396 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 19.398 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 0) (+ (* 0 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) into 0 19.401 * [backup-simplify]: Simplify (+ (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) 0) (+ (* 0 0) (* 0 (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0))))))) into 0 19.401 * [backup-simplify]: Simplify 0 into 0 19.404 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))))) into 0 19.406 * [backup-simplify]: Simplify (+ (* (exp (* -0.5 (* (+ (/ 1 k) 1.0) (log (* -1 n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2))))) into 0 19.406 * [taylor]: Taking taylor expansion of 0 in n 19.406 * [backup-simplify]: Simplify 0 into 0 19.406 * [backup-simplify]: Simplify 0 into 0 19.408 * [backup-simplify]: Simplify (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))) 2) (exp (* -0.5 (* (+ (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0))))) into (* (pow (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) 2) (exp (* -0.5 (* (- 1.0 k) (+ (log -1) (log (/ -1 n))))))) 19.408 * * * [progress]: simplifying candidates 19.435 * [simplify]: Simplifying: (* (- (log n)) (* -0.5 (- 1.0 k))) (* (- 0 (log n)) (* -0.5 (- 1.0 k))) (* (- (log 1) (log n)) (* -0.5 (- 1.0 k))) (* (log (/ 1 n)) (* -0.5 (- 1.0 k))) (* (log (/ 1 n)) (* -0.5 (- 1.0 k))) (* -1 (* -0.5 (- 1.0 k))) (* (- 1) (* -0.5 (- 1.0 k))) (* 1 (* -0.5 (- 1.0 k))) (pow (/ 1 n) -0.5) (pow (/ 1 n) (* -0.5 1.0)) (pow (/ 1 n) (* -0.5 (- k))) (pow (/ 1 n) (* -0.5 1.0)) (pow (/ 1 n) (* -0.5 (- k))) (pow (/ 1 n) (* 1.0 -0.5)) (pow (/ 1 n) (* (- k) -0.5)) (pow (/ 1 n) (* 1.0 -0.5)) (pow (/ 1 n) (* (- k) -0.5)) (pow (* (cbrt (/ 1 n)) (cbrt (/ 1 n))) (* -0.5 (- 1.0 k))) (pow (cbrt (/ 1 n)) (* -0.5 (- 1.0 k))) (pow (sqrt (/ 1 n)) (* -0.5 (- 1.0 k))) (pow (sqrt (/ 1 n)) (* -0.5 (- 1.0 k))) (pow (/ (* (cbrt 1) (cbrt 1)) (* (cbrt n) (cbrt n))) (* -0.5 (- 1.0 k))) (pow (/ (cbrt 1) (cbrt n)) (* -0.5 (- 1.0 k))) (pow (/ (* (cbrt 1) (cbrt 1)) (sqrt n)) (* -0.5 (- 1.0 k))) (pow (/ (cbrt 1) (sqrt n)) (* -0.5 (- 1.0 k))) (pow (/ (* (cbrt 1) (cbrt 1)) 1) (* -0.5 (- 1.0 k))) (pow (/ (cbrt 1) n) (* -0.5 (- 1.0 k))) (pow (/ (sqrt 1) (* (cbrt n) (cbrt n))) (* -0.5 (- 1.0 k))) (pow (/ (sqrt 1) (cbrt n)) (* -0.5 (- 1.0 k))) (pow (/ (sqrt 1) (sqrt n)) (* -0.5 (- 1.0 k))) (pow (/ (sqrt 1) (sqrt n)) (* -0.5 (- 1.0 k))) (pow (/ (sqrt 1) 1) (* -0.5 (- 1.0 k))) (pow (/ (sqrt 1) n) (* -0.5 (- 1.0 k))) (pow (/ 1 (* (cbrt n) (cbrt n))) (* -0.5 (- 1.0 k))) (pow (/ 1 (cbrt n)) (* -0.5 (- 1.0 k))) (pow (/ 1 (sqrt n)) (* -0.5 (- 1.0 k))) (pow (/ 1 (sqrt n)) (* -0.5 (- 1.0 k))) (pow (/ 1 1) (* -0.5 (- 1.0 k))) (pow (/ 1 n) (* -0.5 (- 1.0 k))) (pow 1 (* -0.5 (- 1.0 k))) (pow (/ 1 n) (* -0.5 (- 1.0 k))) (pow 1 (* -0.5 (- 1.0 k))) (pow (/ 1 n) (* -0.5 (- 1.0 k))) (log (pow (/ 1 n) (* -0.5 (- 1.0 k)))) (exp (pow (/ 1 n) (* -0.5 (- 1.0 k)))) (* (cbrt (pow (/ 1 n) (* -0.5 (- 1.0 k)))) (cbrt (pow (/ 1 n) (* -0.5 (- 1.0 k))))) (cbrt (pow (/ 1 n) (* -0.5 (- 1.0 k)))) (* (* (pow (/ 1 n) (* -0.5 (- 1.0 k))) (pow (/ 1 n) (* -0.5 (- 1.0 k)))) (pow (/ 1 n) (* -0.5 (- 1.0 k)))) (sqrt (pow (/ 1 n) (* -0.5 (- 1.0 k)))) (sqrt (pow (/ 1 n) (* -0.5 (- 1.0 k)))) (pow (/ 1 n) (/ (* -0.5 (- 1.0 k)) 2)) (pow (/ 1 n) (/ (* -0.5 (- 1.0 k)) 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) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (/ 1 n) (* -0.5 (- 1.0 k)))))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (+ (log 2.0) (log PI)) (/ (/ (- 1.0 k) 2.0) 2)) (+ (* (+ (log 2.0) (log PI)) (/ (/ (- 1.0 k) 2.0) 2)) (* (- (log n)) (* -0.5 (- 1.0 k)))))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (+ (log 2.0) (log PI)) (/ (/ (- 1.0 k) 2.0) 2)) (+ (* (+ (log 2.0) (log PI)) (/ (/ (- 1.0 k) 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[simplify]: Extracting # 1 : cost 0 19.476 * * [simplify]: Extracting # 2 : cost 0 19.477 * * [simplify]: Extracting # 3 : cost 0 19.479 * * [simplify]: Extracting # 4 : cost 0 19.480 * * [simplify]: Extracting # 5 : cost 0 19.482 * * [simplify]: Extracting # 6 : cost 0 19.483 * * [simplify]: Extracting # 7 : cost 0 19.485 * * [simplify]: Extracting # 8 : cost 0 19.487 * * [simplify]: Extracting # 9 : cost 0 19.489 * * [simplify]: Extracting # 10 : cost 0 19.490 * * [simplify]: Extracting # 11 : cost 0 19.492 * * [simplify]: Extracting # 12 : cost 0 19.494 * * [simplify]: Extracting # 13 : cost 0 19.496 * * [simplify]: Extracting # 14 : cost 0 19.497 * * [simplify]: Extracting # 15 : cost 0 19.500 * * [simplify]: Extracting # 16 : cost 0 19.501 * * [simplify]: Extracting # 17 : cost 0 19.503 * * [simplify]: Extracting # 18 : cost 0 19.505 * * [simplify]: Extracting # 19 : cost 0 19.507 * * [simplify]: Extracting # 20 : cost 0 19.509 * * [simplify]: Extracting # 21 : cost 0 19.511 * * [simplify]: Extracting # 22 : cost 0 19.513 * * [simplify]: Extracting # 23 : cost 0 19.515 * * [simplify]: Extracting # 24 : cost 0 19.516 * * [simplify]: Extracting # 25 : cost 0 19.518 * * [simplify]: Extracting # 26 : cost 0 19.520 * * [simplify]: Extracting # 27 : cost 0 19.522 * * [simplify]: Extracting # 28 : cost 0 19.523 * * [simplify]: Extracting # 29 : cost 0 19.529 * * [simplify]: Extracting # 30 : cost 0 19.531 * * [simplify]: Extracting # 31 : cost 0 19.533 * * [simplify]: iteration 0 : 553 enodes (cost 17091 ) 19.772 * * [simplify]: Extracting # 0 : cost 0 19.775 * * [simplify]: Extracting # 1 : cost 0 19.776 * * [simplify]: Extracting # 2 : cost 0 19.778 * * [simplify]: Extracting # 3 : cost 0 19.779 * * [simplify]: Extracting # 4 : cost 0 19.781 * * [simplify]: Extracting # 5 : cost 0 19.782 * * [simplify]: Extracting # 6 : cost 0 19.784 * * [simplify]: Extracting # 7 : cost 0 19.785 * * [simplify]: Extracting # 8 : cost 0 19.786 * * [simplify]: Extracting # 9 : cost 0 19.788 * * [simplify]: iteration 1 : 1275 enodes (cost 12144 ) 20.493 * * [simplify]: Extracting # 0 : cost 0 20.501 * * [simplify]: Extracting # 1 : cost 0 20.511 * * [simplify]: Extracting # 2 : cost 0 20.521 * * [simplify]: Extracting # 3 : cost 0 20.532 * * [simplify]: Extracting # 4 : cost 0 20.541 * * [simplify]: Extracting # 5 : cost 0 20.550 * * [simplify]: Extracting # 6 : cost 0 20.565 * * [simplify]: iteration 2 : 3946 enodes (cost 11464 ) 22.056 * * [simplify]: Extracting # 0 : cost 0 22.075 * * [simplify]: Extracting # 1 : cost 0 22.088 * * [simplify]: Extracting # 2 : cost 0 22.100 * * [simplify]: Extracting # 3 : cost 0 22.111 * * [simplify]: Extracting # 4 : cost 0 22.123 * * [simplify]: Extracting # 5 : cost 0 22.134 * * [simplify]: iteration done: 5000 enodes (cost 10460 ) 22.143 * [simplify]: Simplified to: (* (- (log n)) (* -0.5 (- 1.0 k))) (* (- (log n)) (* -0.5 (- 1.0 k))) (* (- (log n)) (* -0.5 (- 1.0 k))) (* (- (log n)) (* -0.5 (- 1.0 k))) (* (- (log n)) (* -0.5 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(/ (- 1.0 k) 2.0)) (log (* 2.0 PI))) (* (log n) (* -0.5 (- 1.0 k)))) (- (* (* 1 (/ (- 1.0 k) 2.0)) (log (* 2.0 PI))) (* (log n) (* -0.5 (- 1.0 k)))) (- (* (* 1 (/ (- 1.0 k) 2.0)) (log (* 2.0 PI))) (* (log n) (* -0.5 (- 1.0 k)))) (- (* (* 1 (/ (- 1.0 k) 2.0)) (log (* 2.0 PI))) (* (log n) (* -0.5 (- 1.0 k)))) (- (* (* 1 (/ (- 1.0 k) 2.0)) (log (* 2.0 PI))) (* (log n) (* -0.5 (- 1.0 k)))) (- (* (* 1 (/ (- 1.0 k) 2.0)) (log (* 2.0 PI))) (* (log n) (* -0.5 (- 1.0 k)))) (- (* (* 1 (/ (- 1.0 k) 2.0)) (log (* 2.0 PI))) (* (log n) (* -0.5 (- 1.0 k)))) (- (* (* 1 (/ (- 1.0 k) 2.0)) (log (* 2.0 PI))) (* (log n) (* -0.5 (- 1.0 k)))) (- (* (* 1 (/ (- 1.0 k) 2.0)) (log (* 2.0 PI))) (* (log n) (* -0.5 (- 1.0 k)))) (- (* (* 1 (/ (- 1.0 k) 2.0)) (log (* 2.0 PI))) (* (log n) (* -0.5 (- 1.0 k)))) (- (* (* 1 (/ (- 1.0 k) 2.0)) (log (* 2.0 PI))) (* (log n) (* -0.5 (- 1.0 k)))) (pow (exp (pow (* 2.0 PI) (* 1 (/ (- 1.0 k) 2.0)))) (pow n (- (* -0.5 (- 1.0 k))))) (pow (* (pow n (- (* -0.5 (- 1.0 k)))) (pow (* 2.0 PI) (* 1 (/ (- 1.0 k) 2.0)))) 3) (pow (* (pow n (- (* -0.5 (- 1.0 k)))) (pow (* 2.0 PI) (* 1 (/ (- 1.0 k) 2.0)))) 3) (* (cbrt (* (pow n (- (* -0.5 (- 1.0 k)))) (pow (* 2.0 PI) (* 1 (/ (- 1.0 k) 2.0))))) (cbrt (* (pow n (- (* -0.5 (- 1.0 k)))) (pow (* 2.0 PI) (* 1 (/ (- 1.0 k) 2.0)))))) (cbrt (* (pow n (- (* -0.5 (- 1.0 k)))) (pow (* 2.0 PI) (* 1 (/ (- 1.0 k) 2.0))))) (pow (* (pow n (- (* -0.5 (- 1.0 k)))) (pow (* 2.0 PI) (* 1 (/ (- 1.0 k) 2.0)))) 3) (sqrt (* (pow n (- (* -0.5 (- 1.0 k)))) (pow (* 2.0 PI) (* 1 (/ (- 1.0 k) 2.0))))) (sqrt (* (pow n (- (* -0.5 (- 1.0 k)))) (pow (* 2.0 PI) (* 1 (/ (- 1.0 k) 2.0))))) (* (pow (* 2.0 PI) (* 2 (/ (/ 1.0 2.0) 2))) (pow n (- (* -0.5 (- 1.0 k))))) (pow (* 2.0 PI) (* 1 (/ k 2.0))) (pow (* 2.0 PI) (* 1 (/ (- 1.0 k) 2.0))) (* (* (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow n (- (* -0.5 (- 1.0 k))))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (pow n (- (* -0.5 (- 1.0 k)))) (* (cbrt (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (* (pow n (- (* -0.5 (- 1.0 k)))) (sqrt (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (* (pow n (- (* -0.5 (- 1.0 k)))) (pow (* 2.0 PI) (* 1 (/ (- 1.0 k) 2.0)))) (* (pow n (- (* -0.5 (- 1.0 k)))) (pow (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 4)) 3)) (* (pow (* 2.0 PI) (/ (/ 1.0 2.0) 2)) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (- (* -0.5 (- 1.0 k)))))) (* (pow (* 2.0 PI) (/ (/ 1.0 2.0) 2)) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (- (* -0.5 (- 1.0 k)))))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) (pow n (- (* -0.5 (- 1.0 k)))) (exp (* -0.5 (* (- 1.0 k) (+ (log -1) (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 (pow k 2))) (- (/ +nan.0 k) +nan.0)) (- (+ (- (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (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 k 2) (log (* 2.0 PI))) (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 (- (* (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 n (- (* -0.5 (- 1.0 k))))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2)) (* k k)) (* +nan.0 (- (/ (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2) (/ (pow k 3) (pow n (- (* -0.5 (- 1.0 k)))))) (/ (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2) (/ k (pow n (- (* -0.5 (- 1.0 k)))))))))) (+ (* (/ (* (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2) (exp (* -0.5 (* (- 1.0 k) (+ (log -1) (log (/ -1 n))))))) k) (- (/ +nan.0 k))) (* +nan.0 (- (* (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2) (exp (* -0.5 (* (- 1.0 k) (+ (log -1) (log (/ -1 n))))))) (/ (* (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2) (exp (* -0.5 (* (- 1.0 k) (+ (log -1) (log (/ -1 n))))))) k)))) (- (+ (+ (* 0.25 (* (* (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))) (pow (pow (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) 1.0) 1.0) 0.5)) (* 0.125 (+ (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) (* (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (+ (* k (log n)) (* k (log (* 2.0 PI))))) 0.5)) (* (pow n (- (* -0.5 (- 1.0 k)))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2)) (* (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2) (exp (* -0.5 (* (- 1.0 k) (+ (log -1) (log (/ -1 n))))))) 22.150 * * * [progress]: adding candidates to table 23.015 * [progress]: [Phase 3 of 3] Extracting. 23.015 * * [regime]: Finding splitpoints for: (# # # # # # #) 23.021 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 23.021 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # #) 23.077 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # #) 23.107 * * * * [regimes]: Trying to branch on n from (# # # # # # #) 23.163 * * * * [regimes]: Trying to branch on k from (# # # # # # #) 23.228 * * * [regime]: Found split indices: #