45.082 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.169 * * * [progress]: [2/2] Setting up program. 0.174 * [progress]: [Phase 2 of 3] Improving. 0.175 * [simplify]: Simplifying: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.175 * * [simplify]: Extracting # 0 : cost 0 0.175 * * [simplify]: Extracting # 1 : cost 0 0.175 * * [simplify]: Extracting # 2 : cost 0 0.175 * * [simplify]: Extracting # 3 : cost 0 0.175 * * [simplify]: Extracting # 4 : cost 0 0.175 * * [simplify]: Extracting # 5 : cost 0 0.175 * * [simplify]: Extracting # 6 : cost 0 0.175 * * [simplify]: Extracting # 7 : cost 0 0.175 * * [simplify]: iteration 0 : 13 enodes (cost 16 ) 0.181 * * [simplify]: Extracting # 0 : cost 0 0.181 * * [simplify]: Extracting # 1 : cost 0 0.181 * * [simplify]: Extracting # 2 : cost 0 0.181 * * [simplify]: Extracting # 3 : cost 0 0.181 * * [simplify]: Extracting # 4 : cost 0 0.181 * * [simplify]: Extracting # 5 : cost 0 0.181 * * [simplify]: iteration 1 : 29 enodes (cost 16 ) 0.223 * * [simplify]: Extracting # 0 : cost 0 0.224 * * [simplify]: Extracting # 1 : cost 0 0.224 * * [simplify]: Extracting # 2 : cost 0 0.224 * * [simplify]: Extracting # 3 : cost 0 0.224 * * [simplify]: Extracting # 4 : cost 0 0.224 * * [simplify]: iteration 2 : 59 enodes (cost 16 ) 0.238 * * [simplify]: Extracting # 0 : cost 0 0.239 * * [simplify]: Extracting # 1 : cost 0 0.239 * * [simplify]: Extracting # 2 : cost 0 0.239 * * [simplify]: Extracting # 3 : cost 0 0.239 * * [simplify]: Extracting # 4 : cost 0 0.240 * * [simplify]: iteration 3 : 120 enodes (cost 16 ) 0.273 * * [simplify]: Extracting # 0 : cost 0 0.273 * * [simplify]: Extracting # 1 : cost 0 0.273 * * [simplify]: Extracting # 2 : cost 0 0.274 * * [simplify]: Extracting # 3 : cost 0 0.274 * * [simplify]: Extracting # 4 : cost 0 0.274 * * [simplify]: iteration 4 : 330 enodes (cost 16 ) 0.933 * * [simplify]: Extracting # 0 : cost 0 0.936 * * [simplify]: Extracting # 1 : cost 0 0.940 * * [simplify]: Extracting # 2 : cost 0 0.943 * * [simplify]: Extracting # 3 : cost 0 0.946 * * [simplify]: Extracting # 4 : cost 0 0.949 * * [simplify]: Extracting # 5 : cost 0 0.952 * * [simplify]: iteration 5 : 1545 enodes (cost 16 ) 1.873 * * [simplify]: Extracting # 0 : cost 0 1.933 * * [simplify]: Extracting # 1 : cost 0 1.947 * * [simplify]: Extracting # 2 : cost 0 1.960 * * [simplify]: Extracting # 3 : cost 0 1.974 * * [simplify]: Extracting # 4 : cost 0 1.987 * * [simplify]: iteration done: 5000 enodes (cost 16 ) 1.987 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 1.988 * * [progress]: iteration 1 / 4 1.988 * * * [progress]: picking best candidate 1.993 * * * * [pick]: Picked # 1.993 * * * [progress]: localizing error 2.021 * * * [progress]: generating rewritten candidates 2.021 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 2.028 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 2.063 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 2.099 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 2.198 * * * [progress]: generating series expansions 2.198 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 2.198 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 2.198 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 2.198 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.198 * [taylor]: Taking taylor expansion of 1.0 in k 2.198 * [backup-simplify]: Simplify 1.0 into 1.0 2.198 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.198 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.198 * [taylor]: Taking taylor expansion of k in k 2.198 * [backup-simplify]: Simplify 0 into 0 2.198 * [backup-simplify]: Simplify 1 into 1 2.199 * [backup-simplify]: Simplify (/ 1 1) into 1 2.200 * [backup-simplify]: Simplify (sqrt 0) into 0 2.201 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.201 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.201 * [taylor]: Taking taylor expansion of 1.0 in k 2.201 * [backup-simplify]: Simplify 1.0 into 1.0 2.201 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.201 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.202 * [taylor]: Taking taylor expansion of k in k 2.202 * [backup-simplify]: Simplify 0 into 0 2.202 * [backup-simplify]: Simplify 1 into 1 2.202 * [backup-simplify]: Simplify (/ 1 1) into 1 2.202 * [backup-simplify]: Simplify (sqrt 0) into 0 2.204 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.204 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.204 * [backup-simplify]: Simplify 0 into 0 2.206 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 2.206 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.210 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.212 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 2.213 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.218 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.220 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 2.221 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.222 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 2.222 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 2.222 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 2.222 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.222 * [taylor]: Taking taylor expansion of 1.0 in k 2.222 * [backup-simplify]: Simplify 1.0 into 1.0 2.222 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.222 * [taylor]: Taking taylor expansion of k in k 2.222 * [backup-simplify]: Simplify 0 into 0 2.222 * [backup-simplify]: Simplify 1 into 1 2.223 * [backup-simplify]: Simplify (sqrt 0) into 0 2.224 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.224 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.224 * [taylor]: Taking taylor expansion of 1.0 in k 2.224 * [backup-simplify]: Simplify 1.0 into 1.0 2.224 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.224 * [taylor]: Taking taylor expansion of k in k 2.224 * [backup-simplify]: Simplify 0 into 0 2.224 * [backup-simplify]: Simplify 1 into 1 2.225 * [backup-simplify]: Simplify (sqrt 0) into 0 2.226 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.227 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.227 * [backup-simplify]: Simplify 0 into 0 2.228 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 2.229 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.231 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.233 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 2.234 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.237 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.240 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 2.240 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.242 * [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)))))))) 2.242 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 2.242 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 2.242 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.242 * [taylor]: Taking taylor expansion of 1.0 in k 2.242 * [backup-simplify]: Simplify 1.0 into 1.0 2.242 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.242 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.242 * [taylor]: Taking taylor expansion of -1 in k 2.242 * [backup-simplify]: Simplify -1 into -1 2.242 * [taylor]: Taking taylor expansion of k in k 2.242 * [backup-simplify]: Simplify 0 into 0 2.242 * [backup-simplify]: Simplify 1 into 1 2.243 * [backup-simplify]: Simplify (/ -1 1) into -1 2.243 * [backup-simplify]: Simplify (sqrt 0) into 0 2.244 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.245 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 2.245 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.245 * [taylor]: Taking taylor expansion of 1.0 in k 2.245 * [backup-simplify]: Simplify 1.0 into 1.0 2.245 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.245 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.245 * [taylor]: Taking taylor expansion of -1 in k 2.245 * [backup-simplify]: Simplify -1 into -1 2.245 * [taylor]: Taking taylor expansion of k in k 2.245 * [backup-simplify]: Simplify 0 into 0 2.245 * [backup-simplify]: Simplify 1 into 1 2.246 * [backup-simplify]: Simplify (/ -1 1) into -1 2.246 * [backup-simplify]: Simplify (sqrt 0) into 0 2.247 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.248 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 2.248 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.249 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.252 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.254 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 2.255 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.258 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.261 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 2.261 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.262 * [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))))) 2.262 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 2.262 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 2.262 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 2.262 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.262 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.262 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.262 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.262 * [taylor]: Taking taylor expansion of 0.5 in k 2.262 * [backup-simplify]: Simplify 0.5 into 0.5 2.262 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.262 * [taylor]: Taking taylor expansion of 1.0 in k 2.262 * [backup-simplify]: Simplify 1.0 into 1.0 2.262 * [taylor]: Taking taylor expansion of k in k 2.262 * [backup-simplify]: Simplify 0 into 0 2.262 * [backup-simplify]: Simplify 1 into 1 2.262 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.263 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.263 * [taylor]: Taking taylor expansion of 2.0 in k 2.263 * [backup-simplify]: Simplify 2.0 into 2.0 2.263 * [taylor]: Taking taylor expansion of (* n PI) in k 2.263 * [taylor]: Taking taylor expansion of n in k 2.263 * [backup-simplify]: Simplify n into n 2.263 * [taylor]: Taking taylor expansion of PI in k 2.263 * [backup-simplify]: Simplify PI into PI 2.263 * [backup-simplify]: Simplify (* n PI) into (* n PI) 2.263 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 2.263 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 2.263 * [backup-simplify]: Simplify (- 0) into 0 2.263 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.264 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 2.264 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 2.264 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 2.264 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.264 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.264 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.264 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.264 * [taylor]: Taking taylor expansion of 0.5 in n 2.264 * [backup-simplify]: Simplify 0.5 into 0.5 2.264 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.264 * [taylor]: Taking taylor expansion of 1.0 in n 2.264 * [backup-simplify]: Simplify 1.0 into 1.0 2.264 * [taylor]: Taking taylor expansion of k in n 2.264 * [backup-simplify]: Simplify k into k 2.264 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.264 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.264 * [taylor]: Taking taylor expansion of 2.0 in n 2.264 * [backup-simplify]: Simplify 2.0 into 2.0 2.264 * [taylor]: Taking taylor expansion of (* n PI) in n 2.264 * [taylor]: Taking taylor expansion of n in n 2.264 * [backup-simplify]: Simplify 0 into 0 2.264 * [backup-simplify]: Simplify 1 into 1 2.264 * [taylor]: Taking taylor expansion of PI in n 2.264 * [backup-simplify]: Simplify PI into PI 2.264 * [backup-simplify]: Simplify (* 0 PI) into 0 2.265 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.266 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.267 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.267 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.267 * [backup-simplify]: Simplify (- k) into (- k) 2.267 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 2.267 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 2.268 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.269 * [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)))) 2.270 * [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))))) 2.270 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.270 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.270 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.270 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.270 * [taylor]: Taking taylor expansion of 0.5 in n 2.270 * [backup-simplify]: Simplify 0.5 into 0.5 2.270 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.270 * [taylor]: Taking taylor expansion of 1.0 in n 2.270 * [backup-simplify]: Simplify 1.0 into 1.0 2.270 * [taylor]: Taking taylor expansion of k in n 2.270 * [backup-simplify]: Simplify k into k 2.270 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.270 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.270 * [taylor]: Taking taylor expansion of 2.0 in n 2.270 * [backup-simplify]: Simplify 2.0 into 2.0 2.270 * [taylor]: Taking taylor expansion of (* n PI) in n 2.270 * [taylor]: Taking taylor expansion of n in n 2.270 * [backup-simplify]: Simplify 0 into 0 2.270 * [backup-simplify]: Simplify 1 into 1 2.270 * [taylor]: Taking taylor expansion of PI in n 2.270 * [backup-simplify]: Simplify PI into PI 2.270 * [backup-simplify]: Simplify (* 0 PI) into 0 2.271 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.271 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.272 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.273 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.273 * [backup-simplify]: Simplify (- k) into (- k) 2.273 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 2.273 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 2.278 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.279 * [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)))) 2.279 * [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))))) 2.279 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 2.280 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 2.280 * [taylor]: Taking taylor expansion of 0.5 in k 2.280 * [backup-simplify]: Simplify 0.5 into 0.5 2.280 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 2.280 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.280 * [taylor]: Taking taylor expansion of 1.0 in k 2.280 * [backup-simplify]: Simplify 1.0 into 1.0 2.280 * [taylor]: Taking taylor expansion of k in k 2.280 * [backup-simplify]: Simplify 0 into 0 2.280 * [backup-simplify]: Simplify 1 into 1 2.280 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 2.280 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.280 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.280 * [taylor]: Taking taylor expansion of 2.0 in k 2.280 * [backup-simplify]: Simplify 2.0 into 2.0 2.280 * [taylor]: Taking taylor expansion of PI in k 2.280 * [backup-simplify]: Simplify PI into PI 2.280 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.281 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.281 * [taylor]: Taking taylor expansion of (log n) in k 2.281 * [taylor]: Taking taylor expansion of n in k 2.281 * [backup-simplify]: Simplify n into n 2.281 * [backup-simplify]: Simplify (log n) into (log n) 2.281 * [backup-simplify]: Simplify (- 0) into 0 2.281 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.282 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 2.283 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 2.283 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 2.284 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 2.285 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 2.285 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.286 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 2.287 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 2.287 * [backup-simplify]: Simplify (- 0) into 0 2.288 * [backup-simplify]: Simplify (+ 0 0) into 0 2.288 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 2.289 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.289 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 2.291 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.291 * [taylor]: Taking taylor expansion of 0 in k 2.291 * [backup-simplify]: Simplify 0 into 0 2.291 * [backup-simplify]: Simplify 0 into 0 2.291 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 2.292 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 2.293 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 2.293 * [backup-simplify]: Simplify (+ 0 0) into 0 2.294 * [backup-simplify]: Simplify (- 1) into -1 2.294 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.296 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 2.298 * [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)))) 2.302 * [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)))))) 2.305 * [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)))))) 2.306 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.308 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 2.311 * [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 2.312 * [backup-simplify]: Simplify (- 0) into 0 2.312 * [backup-simplify]: Simplify (+ 0 0) into 0 2.313 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 2.315 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.316 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 2.319 * [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 2.319 * [taylor]: Taking taylor expansion of 0 in k 2.319 * [backup-simplify]: Simplify 0 into 0 2.319 * [backup-simplify]: Simplify 0 into 0 2.319 * [backup-simplify]: Simplify 0 into 0 2.320 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 2.324 * [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 2.326 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 2.326 * [backup-simplify]: Simplify (+ 0 0) into 0 2.327 * [backup-simplify]: Simplify (- 0) into 0 2.327 * [backup-simplify]: Simplify (+ 0 0) into 0 2.329 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 2.332 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 2.336 * [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)))))) 2.342 * [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)))))) 2.353 * [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)))))) 2.354 * [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)))) 2.354 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 2.354 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.354 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.354 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.354 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.354 * [taylor]: Taking taylor expansion of 0.5 in k 2.354 * [backup-simplify]: Simplify 0.5 into 0.5 2.354 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.354 * [taylor]: Taking taylor expansion of 1.0 in k 2.354 * [backup-simplify]: Simplify 1.0 into 1.0 2.355 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.355 * [taylor]: Taking taylor expansion of k in k 2.355 * [backup-simplify]: Simplify 0 into 0 2.355 * [backup-simplify]: Simplify 1 into 1 2.355 * [backup-simplify]: Simplify (/ 1 1) into 1 2.355 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.355 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.355 * [taylor]: Taking taylor expansion of 2.0 in k 2.355 * [backup-simplify]: Simplify 2.0 into 2.0 2.355 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.355 * [taylor]: Taking taylor expansion of PI in k 2.355 * [backup-simplify]: Simplify PI into PI 2.355 * [taylor]: Taking taylor expansion of n in k 2.355 * [backup-simplify]: Simplify n into n 2.355 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 2.355 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 2.356 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 2.356 * [backup-simplify]: Simplify (- 1) into -1 2.356 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.357 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 2.357 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 2.357 * [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))))) 2.357 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.357 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.357 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.357 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.357 * [taylor]: Taking taylor expansion of 0.5 in n 2.357 * [backup-simplify]: Simplify 0.5 into 0.5 2.357 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.357 * [taylor]: Taking taylor expansion of 1.0 in n 2.357 * [backup-simplify]: Simplify 1.0 into 1.0 2.357 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.357 * [taylor]: Taking taylor expansion of k in n 2.357 * [backup-simplify]: Simplify k into k 2.357 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.357 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.357 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.357 * [taylor]: Taking taylor expansion of 2.0 in n 2.357 * [backup-simplify]: Simplify 2.0 into 2.0 2.357 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.357 * [taylor]: Taking taylor expansion of PI in n 2.357 * [backup-simplify]: Simplify PI into PI 2.357 * [taylor]: Taking taylor expansion of n in n 2.357 * [backup-simplify]: Simplify 0 into 0 2.357 * [backup-simplify]: Simplify 1 into 1 2.358 * [backup-simplify]: Simplify (/ PI 1) into PI 2.358 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.359 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.359 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 2.359 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 2.359 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 2.360 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.360 * [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)))) 2.361 * [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))))) 2.361 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.361 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.361 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.361 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.361 * [taylor]: Taking taylor expansion of 0.5 in n 2.361 * [backup-simplify]: Simplify 0.5 into 0.5 2.361 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.361 * [taylor]: Taking taylor expansion of 1.0 in n 2.361 * [backup-simplify]: Simplify 1.0 into 1.0 2.361 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.361 * [taylor]: Taking taylor expansion of k in n 2.361 * [backup-simplify]: Simplify k into k 2.361 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.361 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.361 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.361 * [taylor]: Taking taylor expansion of 2.0 in n 2.361 * [backup-simplify]: Simplify 2.0 into 2.0 2.361 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.361 * [taylor]: Taking taylor expansion of PI in n 2.362 * [backup-simplify]: Simplify PI into PI 2.362 * [taylor]: Taking taylor expansion of n in n 2.362 * [backup-simplify]: Simplify 0 into 0 2.362 * [backup-simplify]: Simplify 1 into 1 2.362 * [backup-simplify]: Simplify (/ PI 1) into PI 2.362 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.363 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.363 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 2.363 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 2.363 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 2.364 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.365 * [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)))) 2.366 * [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))))) 2.366 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 2.366 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 2.366 * [taylor]: Taking taylor expansion of 0.5 in k 2.366 * [backup-simplify]: Simplify 0.5 into 0.5 2.366 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 2.366 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 2.366 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.366 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.366 * [taylor]: Taking taylor expansion of 2.0 in k 2.366 * [backup-simplify]: Simplify 2.0 into 2.0 2.366 * [taylor]: Taking taylor expansion of PI in k 2.366 * [backup-simplify]: Simplify PI into PI 2.366 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.367 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.367 * [taylor]: Taking taylor expansion of (log n) in k 2.367 * [taylor]: Taking taylor expansion of n in k 2.367 * [backup-simplify]: Simplify n into n 2.367 * [backup-simplify]: Simplify (log n) into (log n) 2.367 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.367 * [taylor]: Taking taylor expansion of 1.0 in k 2.367 * [backup-simplify]: Simplify 1.0 into 1.0 2.367 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.367 * [taylor]: Taking taylor expansion of k in k 2.367 * [backup-simplify]: Simplify 0 into 0 2.367 * [backup-simplify]: Simplify 1 into 1 2.367 * [backup-simplify]: Simplify (/ 1 1) into 1 2.367 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 2.368 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 2.368 * [backup-simplify]: Simplify (- 1) into -1 2.368 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.369 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 2.370 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 2.370 * [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))))) 2.371 * [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))))) 2.372 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.372 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 2.373 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 2.373 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 2.374 * [backup-simplify]: Simplify (- 0) into 0 2.374 * [backup-simplify]: Simplify (+ 0 0) into 0 2.374 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 2.375 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.376 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 2.377 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.377 * [taylor]: Taking taylor expansion of 0 in k 2.377 * [backup-simplify]: Simplify 0 into 0 2.377 * [backup-simplify]: Simplify 0 into 0 2.377 * [backup-simplify]: Simplify 0 into 0 2.378 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.378 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 2.380 * [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 2.380 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 2.381 * [backup-simplify]: Simplify (- 0) into 0 2.381 * [backup-simplify]: Simplify (+ 0 0) into 0 2.382 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 2.382 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.383 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 2.385 * [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 2.385 * [taylor]: Taking taylor expansion of 0 in k 2.385 * [backup-simplify]: Simplify 0 into 0 2.385 * [backup-simplify]: Simplify 0 into 0 2.385 * [backup-simplify]: Simplify 0 into 0 2.385 * [backup-simplify]: Simplify 0 into 0 2.386 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.386 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.391 * [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 2.391 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 2.392 * [backup-simplify]: Simplify (- 0) into 0 2.392 * [backup-simplify]: Simplify (+ 0 0) into 0 2.393 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 2.395 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.401 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 2.404 * [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 2.404 * [taylor]: Taking taylor expansion of 0 in k 2.404 * [backup-simplify]: Simplify 0 into 0 2.404 * [backup-simplify]: Simplify 0 into 0 2.406 * [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)))) 2.407 * [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))) 2.407 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 2.407 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.407 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.407 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.407 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.407 * [taylor]: Taking taylor expansion of 0.5 in k 2.407 * [backup-simplify]: Simplify 0.5 into 0.5 2.407 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.407 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.407 * [taylor]: Taking taylor expansion of k in k 2.407 * [backup-simplify]: Simplify 0 into 0 2.407 * [backup-simplify]: Simplify 1 into 1 2.407 * [backup-simplify]: Simplify (/ 1 1) into 1 2.407 * [taylor]: Taking taylor expansion of 1.0 in k 2.407 * [backup-simplify]: Simplify 1.0 into 1.0 2.407 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.407 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.407 * [taylor]: Taking taylor expansion of -2.0 in k 2.407 * [backup-simplify]: Simplify -2.0 into -2.0 2.407 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.407 * [taylor]: Taking taylor expansion of PI in k 2.407 * [backup-simplify]: Simplify PI into PI 2.408 * [taylor]: Taking taylor expansion of n in k 2.408 * [backup-simplify]: Simplify n into n 2.408 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 2.408 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 2.408 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 2.408 * [backup-simplify]: Simplify (+ 1 0) into 1 2.409 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 2.409 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 2.409 * [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)))))) 2.409 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.409 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.409 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.409 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.409 * [taylor]: Taking taylor expansion of 0.5 in n 2.409 * [backup-simplify]: Simplify 0.5 into 0.5 2.409 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.409 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.409 * [taylor]: Taking taylor expansion of k in n 2.409 * [backup-simplify]: Simplify k into k 2.409 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.409 * [taylor]: Taking taylor expansion of 1.0 in n 2.409 * [backup-simplify]: Simplify 1.0 into 1.0 2.410 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.410 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.410 * [taylor]: Taking taylor expansion of -2.0 in n 2.410 * [backup-simplify]: Simplify -2.0 into -2.0 2.410 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.410 * [taylor]: Taking taylor expansion of PI in n 2.410 * [backup-simplify]: Simplify PI into PI 2.410 * [taylor]: Taking taylor expansion of n in n 2.410 * [backup-simplify]: Simplify 0 into 0 2.410 * [backup-simplify]: Simplify 1 into 1 2.410 * [backup-simplify]: Simplify (/ PI 1) into PI 2.411 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.412 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 2.412 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 2.412 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 2.414 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.415 * [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)))) 2.416 * [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))))) 2.416 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.417 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.417 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.417 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.417 * [taylor]: Taking taylor expansion of 0.5 in n 2.417 * [backup-simplify]: Simplify 0.5 into 0.5 2.417 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.417 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.417 * [taylor]: Taking taylor expansion of k in n 2.417 * [backup-simplify]: Simplify k into k 2.417 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.417 * [taylor]: Taking taylor expansion of 1.0 in n 2.417 * [backup-simplify]: Simplify 1.0 into 1.0 2.417 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.417 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.417 * [taylor]: Taking taylor expansion of -2.0 in n 2.417 * [backup-simplify]: Simplify -2.0 into -2.0 2.417 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.417 * [taylor]: Taking taylor expansion of PI in n 2.417 * [backup-simplify]: Simplify PI into PI 2.417 * [taylor]: Taking taylor expansion of n in n 2.417 * [backup-simplify]: Simplify 0 into 0 2.417 * [backup-simplify]: Simplify 1 into 1 2.418 * [backup-simplify]: Simplify (/ PI 1) into PI 2.418 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.419 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 2.419 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 2.419 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 2.421 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.422 * [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)))) 2.423 * [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))))) 2.423 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 2.423 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 2.423 * [taylor]: Taking taylor expansion of 0.5 in k 2.423 * [backup-simplify]: Simplify 0.5 into 0.5 2.423 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 2.423 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.423 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.423 * [taylor]: Taking taylor expansion of k in k 2.423 * [backup-simplify]: Simplify 0 into 0 2.423 * [backup-simplify]: Simplify 1 into 1 2.424 * [backup-simplify]: Simplify (/ 1 1) into 1 2.424 * [taylor]: Taking taylor expansion of 1.0 in k 2.424 * [backup-simplify]: Simplify 1.0 into 1.0 2.424 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.424 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.424 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.424 * [taylor]: Taking taylor expansion of -2.0 in k 2.424 * [backup-simplify]: Simplify -2.0 into -2.0 2.424 * [taylor]: Taking taylor expansion of PI in k 2.424 * [backup-simplify]: Simplify PI into PI 2.424 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.425 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 2.425 * [taylor]: Taking taylor expansion of (log n) in k 2.425 * [taylor]: Taking taylor expansion of n in k 2.425 * [backup-simplify]: Simplify n into n 2.425 * [backup-simplify]: Simplify (log n) into (log n) 2.426 * [backup-simplify]: Simplify (+ 1 0) into 1 2.426 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 2.427 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 2.428 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 2.429 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 2.430 * [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))))) 2.432 * [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))))) 2.433 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.434 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 2.436 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 2.436 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 2.436 * [backup-simplify]: Simplify (+ 0 0) into 0 2.437 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 2.438 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.440 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 2.442 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.442 * [taylor]: Taking taylor expansion of 0 in k 2.442 * [backup-simplify]: Simplify 0 into 0 2.442 * [backup-simplify]: Simplify 0 into 0 2.442 * [backup-simplify]: Simplify 0 into 0 2.443 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.444 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 2.448 * [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 2.448 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 2.448 * [backup-simplify]: Simplify (+ 0 0) into 0 2.449 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 2.451 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.453 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 2.455 * [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 2.455 * [taylor]: Taking taylor expansion of 0 in k 2.455 * [backup-simplify]: Simplify 0 into 0 2.455 * [backup-simplify]: Simplify 0 into 0 2.455 * [backup-simplify]: Simplify 0 into 0 2.455 * [backup-simplify]: Simplify 0 into 0 2.457 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.458 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.464 * [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 2.464 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 2.465 * [backup-simplify]: Simplify (+ 0 0) into 0 2.466 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 2.467 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.468 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 2.469 * [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 2.469 * [taylor]: Taking taylor expansion of 0 in k 2.470 * [backup-simplify]: Simplify 0 into 0 2.470 * [backup-simplify]: Simplify 0 into 0 2.470 * [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)))))) 2.470 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 2.471 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 2.471 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.471 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.471 * [taylor]: Taking taylor expansion of 2.0 in n 2.471 * [backup-simplify]: Simplify 2.0 into 2.0 2.471 * [taylor]: Taking taylor expansion of (* n PI) in n 2.471 * [taylor]: Taking taylor expansion of n in n 2.471 * [backup-simplify]: Simplify 0 into 0 2.471 * [backup-simplify]: Simplify 1 into 1 2.471 * [taylor]: Taking taylor expansion of PI in n 2.471 * [backup-simplify]: Simplify PI into PI 2.471 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.471 * [taylor]: Taking taylor expansion of 2.0 in n 2.471 * [backup-simplify]: Simplify 2.0 into 2.0 2.471 * [taylor]: Taking taylor expansion of (* n PI) in n 2.471 * [taylor]: Taking taylor expansion of n in n 2.471 * [backup-simplify]: Simplify 0 into 0 2.471 * [backup-simplify]: Simplify 1 into 1 2.471 * [taylor]: Taking taylor expansion of PI in n 2.471 * [backup-simplify]: Simplify PI into PI 2.471 * [backup-simplify]: Simplify (* 0 PI) into 0 2.472 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.472 * [backup-simplify]: Simplify 0 into 0 2.473 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.474 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.474 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.475 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.475 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 2.475 * [backup-simplify]: Simplify 0 into 0 2.476 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.477 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 2.477 * [backup-simplify]: Simplify 0 into 0 2.477 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.478 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 2.478 * [backup-simplify]: Simplify 0 into 0 2.479 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 2.480 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 2.480 * [backup-simplify]: Simplify 0 into 0 2.481 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 2.482 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 2.482 * [backup-simplify]: Simplify 0 into 0 2.483 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 2.484 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 2.484 * [backup-simplify]: Simplify 0 into 0 2.484 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 2.485 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 2.485 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.485 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.485 * [taylor]: Taking taylor expansion of 2.0 in n 2.485 * [backup-simplify]: Simplify 2.0 into 2.0 2.485 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.485 * [taylor]: Taking taylor expansion of PI in n 2.485 * [backup-simplify]: Simplify PI into PI 2.485 * [taylor]: Taking taylor expansion of n in n 2.485 * [backup-simplify]: Simplify 0 into 0 2.485 * [backup-simplify]: Simplify 1 into 1 2.485 * [backup-simplify]: Simplify (/ PI 1) into PI 2.485 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.485 * [taylor]: Taking taylor expansion of 2.0 in n 2.485 * [backup-simplify]: Simplify 2.0 into 2.0 2.485 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.485 * [taylor]: Taking taylor expansion of PI in n 2.485 * [backup-simplify]: Simplify PI into PI 2.485 * [taylor]: Taking taylor expansion of n in n 2.485 * [backup-simplify]: Simplify 0 into 0 2.485 * [backup-simplify]: Simplify 1 into 1 2.486 * [backup-simplify]: Simplify (/ PI 1) into PI 2.486 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.486 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.487 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.487 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 2.487 * [backup-simplify]: Simplify 0 into 0 2.488 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.488 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 2.488 * [backup-simplify]: Simplify 0 into 0 2.489 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.490 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.490 * [backup-simplify]: Simplify 0 into 0 2.490 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.491 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.491 * [backup-simplify]: Simplify 0 into 0 2.492 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.493 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 2.493 * [backup-simplify]: Simplify 0 into 0 2.493 * [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 2.494 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 2.494 * [backup-simplify]: Simplify 0 into 0 2.495 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 2.495 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 2.495 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 2.495 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.495 * [taylor]: Taking taylor expansion of -2.0 in n 2.495 * [backup-simplify]: Simplify -2.0 into -2.0 2.495 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.495 * [taylor]: Taking taylor expansion of PI in n 2.495 * [backup-simplify]: Simplify PI into PI 2.495 * [taylor]: Taking taylor expansion of n in n 2.495 * [backup-simplify]: Simplify 0 into 0 2.495 * [backup-simplify]: Simplify 1 into 1 2.495 * [backup-simplify]: Simplify (/ PI 1) into PI 2.495 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.495 * [taylor]: Taking taylor expansion of -2.0 in n 2.495 * [backup-simplify]: Simplify -2.0 into -2.0 2.495 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.496 * [taylor]: Taking taylor expansion of PI in n 2.496 * [backup-simplify]: Simplify PI into PI 2.496 * [taylor]: Taking taylor expansion of n in n 2.496 * [backup-simplify]: Simplify 0 into 0 2.496 * [backup-simplify]: Simplify 1 into 1 2.496 * [backup-simplify]: Simplify (/ PI 1) into PI 2.496 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.497 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.498 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.498 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 2.498 * [backup-simplify]: Simplify 0 into 0 2.500 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.501 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 2.501 * [backup-simplify]: Simplify 0 into 0 2.502 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.503 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.503 * [backup-simplify]: Simplify 0 into 0 2.504 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.506 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.506 * [backup-simplify]: Simplify 0 into 0 2.507 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.508 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 2.508 * [backup-simplify]: Simplify 0 into 0 2.510 * [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 2.511 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 2.511 * [backup-simplify]: Simplify 0 into 0 2.512 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 2.512 * * * * [progress]: [ 4 / 4 ] generating series at (2) 2.513 * [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))))) 2.513 * [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 2.513 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 2.513 * [taylor]: Taking taylor expansion of 1.0 in n 2.513 * [backup-simplify]: Simplify 1.0 into 1.0 2.513 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 2.513 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 2.513 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.513 * [taylor]: Taking taylor expansion of k in n 2.513 * [backup-simplify]: Simplify k into k 2.513 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.513 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 2.514 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 2.514 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 2.514 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.514 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.514 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.514 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.514 * [taylor]: Taking taylor expansion of 0.5 in n 2.514 * [backup-simplify]: Simplify 0.5 into 0.5 2.514 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.514 * [taylor]: Taking taylor expansion of 1.0 in n 2.514 * [backup-simplify]: Simplify 1.0 into 1.0 2.514 * [taylor]: Taking taylor expansion of k in n 2.514 * [backup-simplify]: Simplify k into k 2.514 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.514 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.514 * [taylor]: Taking taylor expansion of 2.0 in n 2.514 * [backup-simplify]: Simplify 2.0 into 2.0 2.514 * [taylor]: Taking taylor expansion of (* n PI) in n 2.514 * [taylor]: Taking taylor expansion of n in n 2.514 * [backup-simplify]: Simplify 0 into 0 2.514 * [backup-simplify]: Simplify 1 into 1 2.514 * [taylor]: Taking taylor expansion of PI in n 2.514 * [backup-simplify]: Simplify PI into PI 2.515 * [backup-simplify]: Simplify (* 0 PI) into 0 2.515 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.517 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.519 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.520 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.520 * [backup-simplify]: Simplify (- k) into (- k) 2.520 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 2.520 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 2.522 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.523 * [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)))) 2.524 * [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))))) 2.524 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 2.524 * [taylor]: Taking taylor expansion of 1.0 in k 2.525 * [backup-simplify]: Simplify 1.0 into 1.0 2.525 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 2.525 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.525 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.525 * [taylor]: Taking taylor expansion of k in k 2.525 * [backup-simplify]: Simplify 0 into 0 2.525 * [backup-simplify]: Simplify 1 into 1 2.525 * [backup-simplify]: Simplify (/ 1 1) into 1 2.525 * [backup-simplify]: Simplify (sqrt 0) into 0 2.527 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.527 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.527 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.527 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.527 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.527 * [taylor]: Taking taylor expansion of 0.5 in k 2.527 * [backup-simplify]: Simplify 0.5 into 0.5 2.527 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.527 * [taylor]: Taking taylor expansion of 1.0 in k 2.527 * [backup-simplify]: Simplify 1.0 into 1.0 2.527 * [taylor]: Taking taylor expansion of k in k 2.527 * [backup-simplify]: Simplify 0 into 0 2.527 * [backup-simplify]: Simplify 1 into 1 2.527 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.527 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.527 * [taylor]: Taking taylor expansion of 2.0 in k 2.527 * [backup-simplify]: Simplify 2.0 into 2.0 2.527 * [taylor]: Taking taylor expansion of (* n PI) in k 2.527 * [taylor]: Taking taylor expansion of n in k 2.527 * [backup-simplify]: Simplify n into n 2.527 * [taylor]: Taking taylor expansion of PI in k 2.528 * [backup-simplify]: Simplify PI into PI 2.528 * [backup-simplify]: Simplify (* n PI) into (* n PI) 2.528 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 2.528 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 2.528 * [backup-simplify]: Simplify (- 0) into 0 2.529 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.529 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 2.529 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 2.529 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 2.529 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 2.529 * [taylor]: Taking taylor expansion of 1.0 in k 2.530 * [backup-simplify]: Simplify 1.0 into 1.0 2.530 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 2.530 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.530 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.530 * [taylor]: Taking taylor expansion of k in k 2.530 * [backup-simplify]: Simplify 0 into 0 2.530 * [backup-simplify]: Simplify 1 into 1 2.530 * [backup-simplify]: Simplify (/ 1 1) into 1 2.530 * [backup-simplify]: Simplify (sqrt 0) into 0 2.532 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.532 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.532 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.532 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.532 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.532 * [taylor]: Taking taylor expansion of 0.5 in k 2.532 * [backup-simplify]: Simplify 0.5 into 0.5 2.532 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.532 * [taylor]: Taking taylor expansion of 1.0 in k 2.532 * [backup-simplify]: Simplify 1.0 into 1.0 2.532 * [taylor]: Taking taylor expansion of k in k 2.532 * [backup-simplify]: Simplify 0 into 0 2.532 * [backup-simplify]: Simplify 1 into 1 2.532 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.532 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.532 * [taylor]: Taking taylor expansion of 2.0 in k 2.532 * [backup-simplify]: Simplify 2.0 into 2.0 2.532 * [taylor]: Taking taylor expansion of (* n PI) in k 2.532 * [taylor]: Taking taylor expansion of n in k 2.532 * [backup-simplify]: Simplify n into n 2.532 * [taylor]: Taking taylor expansion of PI in k 2.533 * [backup-simplify]: Simplify PI into PI 2.533 * [backup-simplify]: Simplify (* n PI) into (* n PI) 2.533 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 2.533 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 2.538 * [backup-simplify]: Simplify (- 0) into 0 2.538 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.539 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 2.539 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 2.539 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 2.539 * [backup-simplify]: Simplify (* 0 (pow (* 2.0 (* n PI)) 0.5)) into 0 2.540 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.540 * [taylor]: Taking taylor expansion of 0 in n 2.540 * [backup-simplify]: Simplify 0 into 0 2.540 * [backup-simplify]: Simplify 0 into 0 2.541 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 2.541 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (* n PI))) into 0 2.542 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 1) into 0 2.542 * [backup-simplify]: Simplify (- 1) into -1 2.543 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.544 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 2.546 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 (* n PI))))) into (- (* 0.5 (log (* 2.0 (* n PI))))) 2.546 * [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))) 2.548 * [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))) 2.550 * [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))) 2.550 * [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 2.550 * [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 2.550 * [taylor]: Taking taylor expansion of +nan.0 in n 2.550 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.550 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.550 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.550 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.550 * [taylor]: Taking taylor expansion of 0.5 in n 2.550 * [backup-simplify]: Simplify 0.5 into 0.5 2.550 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.550 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.550 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.550 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.550 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.550 * [taylor]: Taking taylor expansion of 1.0 in n 2.550 * [backup-simplify]: Simplify 1.0 into 1.0 2.551 * [taylor]: Taking taylor expansion of (log PI) in n 2.551 * [taylor]: Taking taylor expansion of PI in n 2.551 * [backup-simplify]: Simplify PI into PI 2.551 * [backup-simplify]: Simplify (log PI) into (log PI) 2.552 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.554 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.554 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.554 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.554 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.554 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.554 * [taylor]: Taking taylor expansion of 1.0 in n 2.554 * [backup-simplify]: Simplify 1.0 into 1.0 2.554 * [taylor]: Taking taylor expansion of (log n) in n 2.554 * [taylor]: Taking taylor expansion of n in n 2.554 * [backup-simplify]: Simplify 0 into 0 2.554 * [backup-simplify]: Simplify 1 into 1 2.554 * [backup-simplify]: Simplify (log 1) into 0 2.555 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.555 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.555 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.555 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.555 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.555 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.555 * [taylor]: Taking taylor expansion of 1.0 in n 2.555 * [backup-simplify]: Simplify 1.0 into 1.0 2.555 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.555 * [taylor]: Taking taylor expansion of 2.0 in n 2.555 * [backup-simplify]: Simplify 2.0 into 2.0 2.556 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.557 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.558 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.559 * [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) 2.560 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 2.561 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 2.563 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 2.564 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 2.566 * [backup-simplify]: Simplify (* +nan.0 (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 2.567 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 2.569 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 2.569 * [backup-simplify]: Simplify 0 into 0 2.569 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 2.570 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 2.572 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 2) into 0 2.572 * [backup-simplify]: Simplify (- 0) into 0 2.573 * [backup-simplify]: Simplify (+ 0 0) into 0 2.574 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 2.575 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 (* n PI)))))) into 0 2.576 * [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))) 2.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.580 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.584 * [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)))))))) 2.589 * [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)))))))) 2.589 * [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 2.589 * [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 2.589 * [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 2.589 * [taylor]: Taking taylor expansion of +nan.0 in n 2.589 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.589 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.589 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.590 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.590 * [taylor]: Taking taylor expansion of 0.5 in n 2.590 * [backup-simplify]: Simplify 0.5 into 0.5 2.590 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.590 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.590 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.590 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.590 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.590 * [taylor]: Taking taylor expansion of 1.0 in n 2.590 * [backup-simplify]: Simplify 1.0 into 1.0 2.590 * [taylor]: Taking taylor expansion of (log PI) in n 2.590 * [taylor]: Taking taylor expansion of PI in n 2.590 * [backup-simplify]: Simplify PI into PI 2.590 * [backup-simplify]: Simplify (log PI) into (log PI) 2.591 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.593 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.593 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.593 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.593 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.593 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.593 * [taylor]: Taking taylor expansion of 1.0 in n 2.593 * [backup-simplify]: Simplify 1.0 into 1.0 2.593 * [taylor]: Taking taylor expansion of (log n) in n 2.593 * [taylor]: Taking taylor expansion of n in n 2.593 * [backup-simplify]: Simplify 0 into 0 2.593 * [backup-simplify]: Simplify 1 into 1 2.594 * [backup-simplify]: Simplify (log 1) into 0 2.594 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.594 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.594 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.594 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.594 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.594 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.594 * [taylor]: Taking taylor expansion of 1.0 in n 2.595 * [backup-simplify]: Simplify 1.0 into 1.0 2.595 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.595 * [taylor]: Taking taylor expansion of 2.0 in n 2.595 * [backup-simplify]: Simplify 2.0 into 2.0 2.595 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.596 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.597 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.598 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 2.599 * [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) 2.601 * [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)) 2.602 * [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))) 2.603 * [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) 2.603 * [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 2.604 * [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 2.604 * [taylor]: Taking taylor expansion of +nan.0 in n 2.604 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.604 * [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 2.604 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.604 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.604 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.604 * [taylor]: Taking taylor expansion of 0.5 in n 2.604 * [backup-simplify]: Simplify 0.5 into 0.5 2.604 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.604 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.604 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.604 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.604 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.604 * [taylor]: Taking taylor expansion of 1.0 in n 2.604 * [backup-simplify]: Simplify 1.0 into 1.0 2.604 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.604 * [taylor]: Taking taylor expansion of 2.0 in n 2.604 * [backup-simplify]: Simplify 2.0 into 2.0 2.605 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.605 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.607 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.607 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.607 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.607 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.607 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.607 * [taylor]: Taking taylor expansion of 1.0 in n 2.607 * [backup-simplify]: Simplify 1.0 into 1.0 2.607 * [taylor]: Taking taylor expansion of (log PI) in n 2.607 * [taylor]: Taking taylor expansion of PI in n 2.607 * [backup-simplify]: Simplify PI into PI 2.608 * [backup-simplify]: Simplify (log PI) into (log PI) 2.609 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.610 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.610 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.610 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.610 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.610 * [taylor]: Taking taylor expansion of 1.0 in n 2.611 * [backup-simplify]: Simplify 1.0 into 1.0 2.611 * [taylor]: Taking taylor expansion of (log n) in n 2.611 * [taylor]: Taking taylor expansion of n in n 2.611 * [backup-simplify]: Simplify 0 into 0 2.611 * [backup-simplify]: Simplify 1 into 1 2.611 * [backup-simplify]: Simplify (log 1) into 0 2.611 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.612 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.612 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.612 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 2.614 * [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) 2.615 * [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)) 2.616 * [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))) 2.618 * [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) 2.618 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.618 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.618 * [taylor]: Taking taylor expansion of 2.0 in n 2.618 * [backup-simplify]: Simplify 2.0 into 2.0 2.618 * [taylor]: Taking taylor expansion of (* n PI) in n 2.618 * [taylor]: Taking taylor expansion of n in n 2.618 * [backup-simplify]: Simplify 0 into 0 2.618 * [backup-simplify]: Simplify 1 into 1 2.618 * [taylor]: Taking taylor expansion of PI in n 2.618 * [backup-simplify]: Simplify PI into PI 2.619 * [backup-simplify]: Simplify (* 0 PI) into 0 2.619 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.621 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.622 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.623 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.625 * [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)) 2.625 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.627 * [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)) 2.628 * [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))) 2.630 * [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)))))) 2.633 * [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)))))))) 2.637 * [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)))))))) 2.642 * [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)))))))) 2.643 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 2.643 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 2.644 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 2.645 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.645 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.646 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 2.646 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 2.647 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 2.648 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 2.648 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 2.649 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 2.650 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0 2.651 * [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 2.652 * [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 2.654 * [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 2.656 * [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 2.657 * [backup-simplify]: Simplify (- 0) into 0 2.657 * [backup-simplify]: Simplify 0 into 0 2.657 * [backup-simplify]: Simplify 0 into 0 2.658 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.659 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 2.662 * [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 2.662 * [backup-simplify]: Simplify (- 0) into 0 2.663 * [backup-simplify]: Simplify (+ 0 0) into 0 2.664 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 2.665 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 (* n PI))))))) into 0 2.667 * [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))) 2.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.677 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.682 * [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)))))))) 2.694 * [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)))))))) 2.694 * [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 2.694 * [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 2.694 * [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 2.694 * [taylor]: Taking taylor expansion of +nan.0 in n 2.694 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.694 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.694 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.694 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.695 * [taylor]: Taking taylor expansion of 0.5 in n 2.695 * [backup-simplify]: Simplify 0.5 into 0.5 2.695 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.695 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.695 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.695 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.695 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.695 * [taylor]: Taking taylor expansion of 1.0 in n 2.695 * [backup-simplify]: Simplify 1.0 into 1.0 2.695 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.695 * [taylor]: Taking taylor expansion of 2.0 in n 2.695 * [backup-simplify]: Simplify 2.0 into 2.0 2.695 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.696 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.698 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.698 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.698 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.698 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.698 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.698 * [taylor]: Taking taylor expansion of 1.0 in n 2.698 * [backup-simplify]: Simplify 1.0 into 1.0 2.698 * [taylor]: Taking taylor expansion of (log n) in n 2.698 * [taylor]: Taking taylor expansion of n in n 2.698 * [backup-simplify]: Simplify 0 into 0 2.698 * [backup-simplify]: Simplify 1 into 1 2.698 * [backup-simplify]: Simplify (log 1) into 0 2.699 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.699 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.699 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.699 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.699 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.699 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.699 * [taylor]: Taking taylor expansion of 1.0 in n 2.699 * [backup-simplify]: Simplify 1.0 into 1.0 2.699 * [taylor]: Taking taylor expansion of (log PI) in n 2.699 * [taylor]: Taking taylor expansion of PI in n 2.699 * [backup-simplify]: Simplify PI into PI 2.700 * [backup-simplify]: Simplify (log PI) into (log PI) 2.701 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.702 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.703 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 2.704 * [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) 2.705 * [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)) 2.706 * [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))) 2.707 * [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) 2.707 * [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 2.707 * [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 2.707 * [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 2.707 * [taylor]: Taking taylor expansion of +nan.0 in n 2.707 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.707 * [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 2.707 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.707 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.707 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.707 * [taylor]: Taking taylor expansion of 0.5 in n 2.707 * [backup-simplify]: Simplify 0.5 into 0.5 2.707 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.707 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.707 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.707 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.707 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.707 * [taylor]: Taking taylor expansion of 1.0 in n 2.707 * [backup-simplify]: Simplify 1.0 into 1.0 2.707 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.707 * [taylor]: Taking taylor expansion of 2.0 in n 2.707 * [backup-simplify]: Simplify 2.0 into 2.0 2.707 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.708 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.709 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.709 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.709 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.709 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.709 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.709 * [taylor]: Taking taylor expansion of 1.0 in n 2.709 * [backup-simplify]: Simplify 1.0 into 1.0 2.709 * [taylor]: Taking taylor expansion of (log PI) in n 2.709 * [taylor]: Taking taylor expansion of PI in n 2.709 * [backup-simplify]: Simplify PI into PI 2.709 * [backup-simplify]: Simplify (log PI) into (log PI) 2.710 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.711 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.711 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.711 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.711 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.711 * [taylor]: Taking taylor expansion of 1.0 in n 2.711 * [backup-simplify]: Simplify 1.0 into 1.0 2.711 * [taylor]: Taking taylor expansion of (log n) in n 2.711 * [taylor]: Taking taylor expansion of n in n 2.711 * [backup-simplify]: Simplify 0 into 0 2.711 * [backup-simplify]: Simplify 1 into 1 2.712 * [backup-simplify]: Simplify (log 1) into 0 2.712 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.712 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.712 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.712 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 2.713 * [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) 2.714 * [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)) 2.715 * [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))) 2.716 * [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) 2.716 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.716 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.716 * [taylor]: Taking taylor expansion of 2.0 in n 2.716 * [backup-simplify]: Simplify 2.0 into 2.0 2.716 * [taylor]: Taking taylor expansion of (* n PI) in n 2.716 * [taylor]: Taking taylor expansion of n in n 2.716 * [backup-simplify]: Simplify 0 into 0 2.716 * [backup-simplify]: Simplify 1 into 1 2.716 * [taylor]: Taking taylor expansion of PI in n 2.716 * [backup-simplify]: Simplify PI into PI 2.716 * [backup-simplify]: Simplify (* 0 PI) into 0 2.716 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.717 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.718 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.719 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.719 * [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 2.719 * [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 2.719 * [taylor]: Taking taylor expansion of +nan.0 in n 2.719 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.719 * [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 2.719 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.719 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.719 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.719 * [taylor]: Taking taylor expansion of 0.5 in n 2.719 * [backup-simplify]: Simplify 0.5 into 0.5 2.719 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.719 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.719 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.719 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.719 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.719 * [taylor]: Taking taylor expansion of 1.0 in n 2.719 * [backup-simplify]: Simplify 1.0 into 1.0 2.719 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.719 * [taylor]: Taking taylor expansion of 2.0 in n 2.719 * [backup-simplify]: Simplify 2.0 into 2.0 2.720 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.720 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.721 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.721 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.721 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.721 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.721 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.721 * [taylor]: Taking taylor expansion of 1.0 in n 2.721 * [backup-simplify]: Simplify 1.0 into 1.0 2.721 * [taylor]: Taking taylor expansion of (log PI) in n 2.721 * [taylor]: Taking taylor expansion of PI in n 2.721 * [backup-simplify]: Simplify PI into PI 2.721 * [backup-simplify]: Simplify (log PI) into (log PI) 2.722 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.723 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.723 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.723 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.723 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.723 * [taylor]: Taking taylor expansion of 1.0 in n 2.723 * [backup-simplify]: Simplify 1.0 into 1.0 2.723 * [taylor]: Taking taylor expansion of (log n) in n 2.723 * [taylor]: Taking taylor expansion of n in n 2.723 * [backup-simplify]: Simplify 0 into 0 2.723 * [backup-simplify]: Simplify 1 into 1 2.723 * [backup-simplify]: Simplify (log 1) into 0 2.724 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.724 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.724 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.724 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 2.725 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 2.726 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 2.727 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 2.727 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 2.727 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 2.727 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.727 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.727 * [taylor]: Taking taylor expansion of 2.0 in n 2.728 * [backup-simplify]: Simplify 2.0 into 2.0 2.728 * [taylor]: Taking taylor expansion of (* n PI) in n 2.728 * [taylor]: Taking taylor expansion of n in n 2.728 * [backup-simplify]: Simplify 0 into 0 2.728 * [backup-simplify]: Simplify 1 into 1 2.728 * [taylor]: Taking taylor expansion of PI in n 2.728 * [backup-simplify]: Simplify PI into PI 2.728 * [backup-simplify]: Simplify (* 0 PI) into 0 2.728 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.729 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.730 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.731 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.731 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.732 * [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)) 2.733 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.735 * [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)) 2.736 * [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))) 2.737 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.738 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.739 * [backup-simplify]: Simplify (* (+ (log (* 2.0 PI)) (log n)) (+ (log (* 2.0 PI)) (log n))) into (pow (+ (log (* 2.0 PI)) (log n)) 2) 2.741 * [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)) 2.742 * [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))) 2.744 * [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)))))))) 2.751 * [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)))))))))))) 2.760 * [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)))))))))))) 2.773 * [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)))))))))))))) 2.797 * [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)))))))))))))) 2.814 * [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)))))))))))))) 2.841 * [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)))))))))))))))))))))) 2.842 * [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)))))) 2.842 * [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 2.842 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 2.842 * [taylor]: Taking taylor expansion of 1.0 in n 2.842 * [backup-simplify]: Simplify 1.0 into 1.0 2.842 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 2.843 * [taylor]: Taking taylor expansion of (sqrt k) in n 2.843 * [taylor]: Taking taylor expansion of k in n 2.843 * [backup-simplify]: Simplify k into k 2.843 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 2.843 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 2.843 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.843 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.843 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.843 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.843 * [taylor]: Taking taylor expansion of 0.5 in n 2.843 * [backup-simplify]: Simplify 0.5 into 0.5 2.843 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.843 * [taylor]: Taking taylor expansion of 1.0 in n 2.843 * [backup-simplify]: Simplify 1.0 into 1.0 2.843 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.843 * [taylor]: Taking taylor expansion of k in n 2.843 * [backup-simplify]: Simplify k into k 2.843 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.843 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.843 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.844 * [taylor]: Taking taylor expansion of 2.0 in n 2.844 * [backup-simplify]: Simplify 2.0 into 2.0 2.844 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.844 * [taylor]: Taking taylor expansion of PI in n 2.844 * [backup-simplify]: Simplify PI into PI 2.844 * [taylor]: Taking taylor expansion of n in n 2.844 * [backup-simplify]: Simplify 0 into 0 2.844 * [backup-simplify]: Simplify 1 into 1 2.844 * [backup-simplify]: Simplify (/ PI 1) into PI 2.845 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.846 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.846 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 2.846 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 2.846 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 2.848 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.849 * [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)))) 2.850 * [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))))) 2.850 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 2.850 * [taylor]: Taking taylor expansion of 1.0 in k 2.850 * [backup-simplify]: Simplify 1.0 into 1.0 2.850 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 2.851 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.851 * [taylor]: Taking taylor expansion of k in k 2.851 * [backup-simplify]: Simplify 0 into 0 2.851 * [backup-simplify]: Simplify 1 into 1 2.851 * [backup-simplify]: Simplify (sqrt 0) into 0 2.852 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.852 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.853 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.853 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.853 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.853 * [taylor]: Taking taylor expansion of 0.5 in k 2.853 * [backup-simplify]: Simplify 0.5 into 0.5 2.853 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.853 * [taylor]: Taking taylor expansion of 1.0 in k 2.853 * [backup-simplify]: Simplify 1.0 into 1.0 2.853 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.853 * [taylor]: Taking taylor expansion of k in k 2.853 * [backup-simplify]: Simplify 0 into 0 2.853 * [backup-simplify]: Simplify 1 into 1 2.853 * [backup-simplify]: Simplify (/ 1 1) into 1 2.853 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.853 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.853 * [taylor]: Taking taylor expansion of 2.0 in k 2.853 * [backup-simplify]: Simplify 2.0 into 2.0 2.853 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.853 * [taylor]: Taking taylor expansion of PI in k 2.854 * [backup-simplify]: Simplify PI into PI 2.854 * [taylor]: Taking taylor expansion of n in k 2.854 * [backup-simplify]: Simplify n into n 2.854 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 2.854 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 2.854 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 2.854 * [backup-simplify]: Simplify (- 1) into -1 2.855 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.855 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 2.856 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 2.856 * [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))))) 2.856 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 2.856 * [taylor]: Taking taylor expansion of 1.0 in k 2.856 * [backup-simplify]: Simplify 1.0 into 1.0 2.856 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 2.856 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.856 * [taylor]: Taking taylor expansion of k in k 2.856 * [backup-simplify]: Simplify 0 into 0 2.856 * [backup-simplify]: Simplify 1 into 1 2.856 * [backup-simplify]: Simplify (sqrt 0) into 0 2.858 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.858 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.858 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.858 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.858 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.858 * [taylor]: Taking taylor expansion of 0.5 in k 2.858 * [backup-simplify]: Simplify 0.5 into 0.5 2.858 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.858 * [taylor]: Taking taylor expansion of 1.0 in k 2.858 * [backup-simplify]: Simplify 1.0 into 1.0 2.858 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.858 * [taylor]: Taking taylor expansion of k in k 2.858 * [backup-simplify]: Simplify 0 into 0 2.858 * [backup-simplify]: Simplify 1 into 1 2.859 * [backup-simplify]: Simplify (/ 1 1) into 1 2.859 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.859 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.859 * [taylor]: Taking taylor expansion of 2.0 in k 2.859 * [backup-simplify]: Simplify 2.0 into 2.0 2.859 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.859 * [taylor]: Taking taylor expansion of PI in k 2.859 * [backup-simplify]: Simplify PI into PI 2.859 * [taylor]: Taking taylor expansion of n in k 2.859 * [backup-simplify]: Simplify n into n 2.859 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 2.859 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 2.859 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 2.860 * [backup-simplify]: Simplify (- 1) into -1 2.860 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.861 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 2.861 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 2.861 * [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))))) 2.862 * [backup-simplify]: Simplify (* 0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) into 0 2.862 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.862 * [taylor]: Taking taylor expansion of 0 in n 2.862 * [backup-simplify]: Simplify 0 into 0 2.862 * [backup-simplify]: Simplify 0 into 0 2.863 * [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))))))) 2.864 * [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))))))) 2.864 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 2.864 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 2.864 * [taylor]: Taking taylor expansion of +nan.0 in n 2.864 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.864 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 2.864 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 2.864 * [taylor]: Taking taylor expansion of 0.5 in n 2.864 * [backup-simplify]: Simplify 0.5 into 0.5 2.864 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 2.864 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.864 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.864 * [taylor]: Taking taylor expansion of 2.0 in n 2.864 * [backup-simplify]: Simplify 2.0 into 2.0 2.864 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.864 * [taylor]: Taking taylor expansion of PI in n 2.864 * [backup-simplify]: Simplify PI into PI 2.864 * [taylor]: Taking taylor expansion of n in n 2.864 * [backup-simplify]: Simplify 0 into 0 2.864 * [backup-simplify]: Simplify 1 into 1 2.865 * [backup-simplify]: Simplify (/ PI 1) into PI 2.865 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.866 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.866 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.866 * [taylor]: Taking taylor expansion of 1.0 in n 2.866 * [backup-simplify]: Simplify 1.0 into 1.0 2.866 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.866 * [taylor]: Taking taylor expansion of k in n 2.867 * [backup-simplify]: Simplify k into k 2.867 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.868 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.868 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 2.868 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 2.869 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 2.871 * [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)))) 2.872 * [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))))) 2.873 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) 2.875 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 2.876 * [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))))))) 2.876 * [backup-simplify]: Simplify 0 into 0 2.879 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.880 * [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))))))) 2.881 * [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))))))) 2.881 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 2.881 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 2.881 * [taylor]: Taking taylor expansion of +nan.0 in n 2.881 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.881 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 2.881 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 2.881 * [taylor]: Taking taylor expansion of 0.5 in n 2.881 * [backup-simplify]: Simplify 0.5 into 0.5 2.881 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 2.881 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.881 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.881 * [taylor]: Taking taylor expansion of 2.0 in n 2.882 * [backup-simplify]: Simplify 2.0 into 2.0 2.882 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.882 * [taylor]: Taking taylor expansion of PI in n 2.882 * [backup-simplify]: Simplify PI into PI 2.882 * [taylor]: Taking taylor expansion of n in n 2.882 * [backup-simplify]: Simplify 0 into 0 2.882 * [backup-simplify]: Simplify 1 into 1 2.882 * [backup-simplify]: Simplify (/ PI 1) into PI 2.882 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.883 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.883 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.883 * [taylor]: Taking taylor expansion of 1.0 in n 2.883 * [backup-simplify]: Simplify 1.0 into 1.0 2.883 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.883 * [taylor]: Taking taylor expansion of k in n 2.883 * [backup-simplify]: Simplify k into k 2.883 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.884 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.884 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 2.884 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 2.885 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 2.886 * [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)))) 2.886 * [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))))) 2.887 * [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)))))) 2.888 * [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))))))) 2.889 * [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))))))) 2.890 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.890 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 2.890 * [backup-simplify]: Simplify (- 0) into 0 2.890 * [backup-simplify]: Simplify (+ 0 0) into 0 2.891 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.891 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 2.892 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 2.893 * [backup-simplify]: Simplify (+ (* (- (log (* 2.0 PI)) (log n)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 2.894 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into 0 2.895 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.896 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into 0 2.896 * [backup-simplify]: Simplify (- 0) into 0 2.896 * [backup-simplify]: Simplify 0 into 0 2.897 * [backup-simplify]: Simplify 0 into 0 2.899 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.900 * [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))))))) 2.900 * [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))))))) 2.900 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 2.901 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 2.901 * [taylor]: Taking taylor expansion of +nan.0 in n 2.901 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.901 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 2.901 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 2.901 * [taylor]: Taking taylor expansion of 0.5 in n 2.901 * [backup-simplify]: Simplify 0.5 into 0.5 2.901 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 2.901 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.901 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.901 * [taylor]: Taking taylor expansion of 2.0 in n 2.901 * [backup-simplify]: Simplify 2.0 into 2.0 2.901 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.901 * [taylor]: Taking taylor expansion of PI in n 2.901 * [backup-simplify]: Simplify PI into PI 2.901 * [taylor]: Taking taylor expansion of n in n 2.901 * [backup-simplify]: Simplify 0 into 0 2.901 * [backup-simplify]: Simplify 1 into 1 2.901 * [backup-simplify]: Simplify (/ PI 1) into PI 2.901 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.902 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.902 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.902 * [taylor]: Taking taylor expansion of 1.0 in n 2.902 * [backup-simplify]: Simplify 1.0 into 1.0 2.902 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.902 * [taylor]: Taking taylor expansion of k in n 2.902 * [backup-simplify]: Simplify k into k 2.902 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.903 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.903 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 2.903 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 2.904 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 2.905 * [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)))) 2.906 * [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))))) 2.907 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) 2.908 * [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))))))) 2.908 * [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))))))) 2.911 * [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)))))))) 2.912 * [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)))) 2.912 * [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 2.912 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 2.912 * [taylor]: Taking taylor expansion of 1.0 in n 2.912 * [backup-simplify]: Simplify 1.0 into 1.0 2.912 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 2.912 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.912 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.912 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.912 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.912 * [taylor]: Taking taylor expansion of 0.5 in n 2.912 * [backup-simplify]: Simplify 0.5 into 0.5 2.912 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.912 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.912 * [taylor]: Taking taylor expansion of k in n 2.912 * [backup-simplify]: Simplify k into k 2.912 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.912 * [taylor]: Taking taylor expansion of 1.0 in n 2.912 * [backup-simplify]: Simplify 1.0 into 1.0 2.912 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.913 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.913 * [taylor]: Taking taylor expansion of -2.0 in n 2.913 * [backup-simplify]: Simplify -2.0 into -2.0 2.913 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.913 * [taylor]: Taking taylor expansion of PI in n 2.913 * [backup-simplify]: Simplify PI into PI 2.913 * [taylor]: Taking taylor expansion of n in n 2.913 * [backup-simplify]: Simplify 0 into 0 2.913 * [backup-simplify]: Simplify 1 into 1 2.913 * [backup-simplify]: Simplify (/ PI 1) into PI 2.914 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.915 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 2.915 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 2.915 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 2.916 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.922 * [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)))) 2.923 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 2.923 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.923 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.923 * [taylor]: Taking taylor expansion of -1 in n 2.923 * [backup-simplify]: Simplify -1 into -1 2.923 * [taylor]: Taking taylor expansion of k in n 2.923 * [backup-simplify]: Simplify k into k 2.924 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 2.924 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 2.924 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 2.924 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 2.925 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))) 2.925 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 2.925 * [taylor]: Taking taylor expansion of 1.0 in k 2.925 * [backup-simplify]: Simplify 1.0 into 1.0 2.925 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 2.925 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.925 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.925 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.925 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.925 * [taylor]: Taking taylor expansion of 0.5 in k 2.926 * [backup-simplify]: Simplify 0.5 into 0.5 2.926 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.926 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.926 * [taylor]: Taking taylor expansion of k in k 2.926 * [backup-simplify]: Simplify 0 into 0 2.926 * [backup-simplify]: Simplify 1 into 1 2.926 * [backup-simplify]: Simplify (/ 1 1) into 1 2.926 * [taylor]: Taking taylor expansion of 1.0 in k 2.926 * [backup-simplify]: Simplify 1.0 into 1.0 2.926 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.926 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.926 * [taylor]: Taking taylor expansion of -2.0 in k 2.926 * [backup-simplify]: Simplify -2.0 into -2.0 2.926 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.926 * [taylor]: Taking taylor expansion of PI in k 2.926 * [backup-simplify]: Simplify PI into PI 2.926 * [taylor]: Taking taylor expansion of n in k 2.926 * [backup-simplify]: Simplify n into n 2.926 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 2.926 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 2.927 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 2.927 * [backup-simplify]: Simplify (+ 1 0) into 1 2.927 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 2.928 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 2.928 * [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)))))) 2.928 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.928 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.928 * [taylor]: Taking taylor expansion of -1 in k 2.928 * [backup-simplify]: Simplify -1 into -1 2.928 * [taylor]: Taking taylor expansion of k in k 2.928 * [backup-simplify]: Simplify 0 into 0 2.928 * [backup-simplify]: Simplify 1 into 1 2.928 * [backup-simplify]: Simplify (/ -1 1) into -1 2.929 * [backup-simplify]: Simplify (sqrt 0) into 0 2.930 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.931 * [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))))))) 2.931 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 2.931 * [taylor]: Taking taylor expansion of 1.0 in k 2.931 * [backup-simplify]: Simplify 1.0 into 1.0 2.931 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 2.931 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.931 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.931 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.931 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.931 * [taylor]: Taking taylor expansion of 0.5 in k 2.931 * [backup-simplify]: Simplify 0.5 into 0.5 2.931 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.931 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.931 * [taylor]: Taking taylor expansion of k in k 2.931 * [backup-simplify]: Simplify 0 into 0 2.931 * [backup-simplify]: Simplify 1 into 1 2.931 * [backup-simplify]: Simplify (/ 1 1) into 1 2.931 * [taylor]: Taking taylor expansion of 1.0 in k 2.931 * [backup-simplify]: Simplify 1.0 into 1.0 2.932 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.932 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.932 * [taylor]: Taking taylor expansion of -2.0 in k 2.932 * [backup-simplify]: Simplify -2.0 into -2.0 2.932 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.932 * [taylor]: Taking taylor expansion of PI in k 2.932 * [backup-simplify]: Simplify PI into PI 2.932 * [taylor]: Taking taylor expansion of n in k 2.932 * [backup-simplify]: Simplify n into n 2.932 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 2.932 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 2.932 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 2.932 * [backup-simplify]: Simplify (+ 1 0) into 1 2.933 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 2.933 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 2.933 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 2.933 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.933 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.933 * [taylor]: Taking taylor expansion of -1 in k 2.933 * [backup-simplify]: Simplify -1 into -1 2.933 * [taylor]: Taking taylor expansion of k in k 2.933 * [backup-simplify]: Simplify 0 into 0 2.933 * [backup-simplify]: Simplify 1 into 1 2.933 * [backup-simplify]: Simplify (/ -1 1) into -1 2.934 * [backup-simplify]: Simplify (sqrt 0) into 0 2.934 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.934 * [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))))))) 2.935 * [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))))))) 2.935 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 2.935 * [taylor]: Taking taylor expansion of +nan.0 in n 2.935 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.935 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 2.935 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 2.935 * [taylor]: Taking taylor expansion of 0.5 in n 2.935 * [backup-simplify]: Simplify 0.5 into 0.5 2.935 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 2.935 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.935 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.935 * [taylor]: Taking taylor expansion of k in n 2.935 * [backup-simplify]: Simplify k into k 2.935 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.935 * [taylor]: Taking taylor expansion of 1.0 in n 2.935 * [backup-simplify]: Simplify 1.0 into 1.0 2.935 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.935 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.935 * [taylor]: Taking taylor expansion of -2.0 in n 2.935 * [backup-simplify]: Simplify -2.0 into -2.0 2.935 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.935 * [taylor]: Taking taylor expansion of PI in n 2.935 * [backup-simplify]: Simplify PI into PI 2.935 * [taylor]: Taking taylor expansion of n in n 2.935 * [backup-simplify]: Simplify 0 into 0 2.935 * [backup-simplify]: Simplify 1 into 1 2.936 * [backup-simplify]: Simplify (/ PI 1) into PI 2.936 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.936 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 2.937 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 2.937 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.938 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 2.939 * [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)))) 2.940 * [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))))) 2.940 * [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)))))) 2.941 * [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)))))) 2.942 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.943 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.944 * [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)))))))) 2.945 * [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)))))))) 2.945 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 2.945 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 2.945 * [taylor]: Taking taylor expansion of +nan.0 in n 2.945 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.945 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 2.945 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 2.945 * [taylor]: Taking taylor expansion of 0.5 in n 2.945 * [backup-simplify]: Simplify 0.5 into 0.5 2.945 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 2.945 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.945 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.945 * [taylor]: Taking taylor expansion of k in n 2.945 * [backup-simplify]: Simplify k into k 2.945 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.945 * [taylor]: Taking taylor expansion of 1.0 in n 2.945 * [backup-simplify]: Simplify 1.0 into 1.0 2.945 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.945 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.945 * [taylor]: Taking taylor expansion of -2.0 in n 2.945 * [backup-simplify]: Simplify -2.0 into -2.0 2.945 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.945 * [taylor]: Taking taylor expansion of PI in n 2.945 * [backup-simplify]: Simplify PI into PI 2.945 * [taylor]: Taking taylor expansion of n in n 2.945 * [backup-simplify]: Simplify 0 into 0 2.945 * [backup-simplify]: Simplify 1 into 1 2.945 * [backup-simplify]: Simplify (/ PI 1) into PI 2.946 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.946 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 2.946 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 2.947 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.948 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 2.949 * [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)))) 2.949 * [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))))) 2.950 * [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)))))) 2.951 * [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))))))) 2.952 * [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))))))) 2.952 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.953 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 2.954 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 2.954 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 2.954 * [backup-simplify]: Simplify (+ 0 0) into 0 2.955 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.956 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 2.957 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into 0 2.958 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.959 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into 0 2.959 * [backup-simplify]: Simplify 0 into 0 2.960 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.962 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.963 * [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)))))))) 2.964 * [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)))))))) 2.964 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 2.964 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 2.964 * [taylor]: Taking taylor expansion of +nan.0 in n 2.964 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.964 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 2.964 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 2.964 * [taylor]: Taking taylor expansion of 0.5 in n 2.964 * [backup-simplify]: Simplify 0.5 into 0.5 2.964 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 2.964 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.964 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.964 * [taylor]: Taking taylor expansion of k in n 2.964 * [backup-simplify]: Simplify k into k 2.964 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.964 * [taylor]: Taking taylor expansion of 1.0 in n 2.964 * [backup-simplify]: Simplify 1.0 into 1.0 2.964 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.964 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.964 * [taylor]: Taking taylor expansion of -2.0 in n 2.964 * [backup-simplify]: Simplify -2.0 into -2.0 2.964 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.964 * [taylor]: Taking taylor expansion of PI in n 2.964 * [backup-simplify]: Simplify PI into PI 2.964 * [taylor]: Taking taylor expansion of n in n 2.964 * [backup-simplify]: Simplify 0 into 0 2.964 * [backup-simplify]: Simplify 1 into 1 2.965 * [backup-simplify]: Simplify (/ PI 1) into PI 2.965 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.966 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 2.966 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 2.967 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.968 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 2.968 * [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)))) 2.969 * [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))))) 2.970 * [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)))))) 2.971 * [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))))))) 2.971 * [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))))))) 2.974 * [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)))))))))))) 2.974 * * * [progress]: simplifying candidates 2.977 * [simplify]: Simplifying: (- (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) (* (+ (+ (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 (* 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n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (- (+ (* +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))))) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))))))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))))))) 2.981 * * [simplify]: Extracting # 0 : cost 0 2.982 * * [simplify]: Extracting # 1 : cost 0 2.982 * * [simplify]: Extracting # 2 : cost 0 2.982 * * [simplify]: Extracting # 3 : cost 0 2.983 * * [simplify]: Extracting # 4 : cost 0 2.983 * * [simplify]: Extracting # 5 : cost 0 2.984 * * [simplify]: Extracting # 6 : cost 0 2.984 * * [simplify]: Extracting # 7 : cost 0 2.985 * * [simplify]: Extracting # 8 : cost 0 2.986 * * [simplify]: Extracting # 9 : cost 0 2.987 * * [simplify]: Extracting # 10 : cost 0 2.988 * * [simplify]: Extracting # 11 : cost 0 2.989 * * [simplify]: Extracting # 12 : cost 0 2.990 * * [simplify]: Extracting # 13 : cost 0 2.991 * * [simplify]: Extracting # 14 : cost 0 2.992 * * [simplify]: Extracting # 15 : cost 0 2.993 * * [simplify]: Extracting # 16 : cost 0 2.994 * * [simplify]: Extracting # 17 : cost 0 2.995 * * [simplify]: Extracting # 18 : cost 0 2.996 * * [simplify]: Extracting # 19 : cost 0 2.997 * * [simplify]: Extracting # 20 : cost 0 2.998 * * [simplify]: Extracting # 21 : cost 0 2.999 * * [simplify]: Extracting # 22 : cost 0 3.001 * * [simplify]: Extracting # 23 : cost 0 3.002 * * [simplify]: Extracting # 24 : cost 0 3.003 * * [simplify]: Extracting # 25 : cost 0 3.004 * * [simplify]: Extracting # 26 : cost 0 3.005 * * [simplify]: Extracting # 27 : cost 0 3.007 * * [simplify]: Extracting # 28 : cost 0 3.008 * * [simplify]: Extracting # 29 : cost 0 3.009 * * [simplify]: Extracting # 30 : cost 0 3.010 * * [simplify]: Extracting # 31 : cost 0 3.011 * * [simplify]: Extracting # 32 : cost 0 3.017 * * [simplify]: Extracting # 33 : cost 0 3.018 * * [simplify]: iteration 0 : 361 enodes (cost 2800 ) 3.175 * * [simplify]: Extracting # 0 : cost 0 3.176 * * [simplify]: Extracting # 1 : cost 0 3.178 * * [simplify]: Extracting # 2 : cost 0 3.179 * * [simplify]: Extracting # 3 : cost 0 3.180 * * [simplify]: Extracting # 4 : cost 0 3.182 * * [simplify]: Extracting # 5 : cost 0 3.183 * * [simplify]: Extracting # 6 : cost 0 3.185 * * [simplify]: iteration 1 : 1009 enodes (cost 2643 ) 3.770 * * [simplify]: Extracting # 0 : cost 0 3.775 * * [simplify]: Extracting # 1 : cost 0 3.782 * * [simplify]: Extracting # 2 : cost 0 3.788 * * [simplify]: Extracting # 3 : cost 0 3.795 * * [simplify]: Extracting # 4 : cost 0 3.805 * * [simplify]: Extracting # 5 : cost 0 3.817 * * [simplify]: Extracting # 6 : cost 0 3.830 * * [simplify]: iteration 2 : 4753 enodes (cost 2479 ) 5.628 * * [simplify]: Extracting # 0 : cost 0 5.643 * * [simplify]: Extracting # 1 : cost 0 5.656 * * [simplify]: Extracting # 2 : cost 0 5.668 * * [simplify]: Extracting # 3 : cost 0 5.677 * * [simplify]: iteration done: 5001 enodes (cost 2479 ) 5.678 * [simplify]: Simplified to: (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (pow 1.0 3) (* (sqrt k) k)) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt k))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log (pow (* (* 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 (* n PI)) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 (* 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))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (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)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (pow n 3) (pow PI 3)) (pow 2.0 3)) (* (pow n 3) (pow (* 2.0 PI) 3)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* n PI) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (/ (pow 1.0 3) (* (sqrt k) k))) (* (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (pow (/ 1.0 (sqrt k)) 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))) (- (- (* +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)) (- (+ (+ (* (* 0.125 (pow k 2)) (+ (* (pow (log (* 2.0 PI)) 2) (pow (* (* 2.0 PI) n) 0.5)) (* (pow (log n) 2) (pow (* (* 2.0 PI) n) 0.5)))) (* (* (pow k 2) (log (* 2.0 PI))) (* (* (pow (* (* 2.0 PI) n) 0.5) (log n)) 0.25))) (pow (* (* 2.0 PI) n) 0.5)) (* (* k (+ (* (log (* 2.0 PI)) (pow (* (* 2.0 PI) n) 0.5)) (* (pow (* (* 2.0 PI) n) 0.5) (log n)))) 0.5)) (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (- (* +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)) (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))) (+ (* (- +nan.0) (/ (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) (pow k 3))) (* +nan.0 (- (/ (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) k) (/ (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) (pow k 2))))) (+ (* +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)))) 5.680 * * * [progress]: adding candidates to table 6.329 * * [progress]: iteration 2 / 4 6.329 * * * [progress]: picking best candidate 6.408 * * * * [pick]: Picked # 6.408 * * * [progress]: localizing error 6.427 * * * [progress]: generating rewritten candidates 6.427 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 6.434 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 6.441 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 6.481 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 6.504 * * * [progress]: generating series expansions 6.504 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 6.504 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 6.504 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 6.504 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 6.504 * [taylor]: Taking taylor expansion of 1.0 in k 6.504 * [backup-simplify]: Simplify 1.0 into 1.0 6.504 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 6.504 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.504 * [taylor]: Taking taylor expansion of k in k 6.504 * [backup-simplify]: Simplify 0 into 0 6.504 * [backup-simplify]: Simplify 1 into 1 6.505 * [backup-simplify]: Simplify (/ 1 1) into 1 6.505 * [backup-simplify]: Simplify (sqrt 0) into 0 6.506 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.506 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 6.506 * [taylor]: Taking taylor expansion of 1.0 in k 6.506 * [backup-simplify]: Simplify 1.0 into 1.0 6.506 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 6.506 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.506 * [taylor]: Taking taylor expansion of k in k 6.506 * [backup-simplify]: Simplify 0 into 0 6.506 * [backup-simplify]: Simplify 1 into 1 6.506 * [backup-simplify]: Simplify (/ 1 1) into 1 6.507 * [backup-simplify]: Simplify (sqrt 0) into 0 6.507 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.508 * [backup-simplify]: Simplify (* 1.0 0) into 0 6.508 * [backup-simplify]: Simplify 0 into 0 6.509 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 6.509 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.511 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.512 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 6.513 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.515 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.517 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 6.517 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.518 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 6.518 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 6.518 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 6.518 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 6.518 * [taylor]: Taking taylor expansion of 1.0 in k 6.518 * [backup-simplify]: Simplify 1.0 into 1.0 6.518 * [taylor]: Taking taylor expansion of (sqrt k) in k 6.518 * [taylor]: Taking taylor expansion of k in k 6.518 * [backup-simplify]: Simplify 0 into 0 6.518 * [backup-simplify]: Simplify 1 into 1 6.518 * [backup-simplify]: Simplify (sqrt 0) into 0 6.519 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.519 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 6.519 * [taylor]: Taking taylor expansion of 1.0 in k 6.519 * [backup-simplify]: Simplify 1.0 into 1.0 6.519 * [taylor]: Taking taylor expansion of (sqrt k) in k 6.519 * [taylor]: Taking taylor expansion of k in k 6.519 * [backup-simplify]: Simplify 0 into 0 6.519 * [backup-simplify]: Simplify 1 into 1 6.519 * [backup-simplify]: Simplify (sqrt 0) into 0 6.520 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.520 * [backup-simplify]: Simplify (* 1.0 0) into 0 6.520 * [backup-simplify]: Simplify 0 into 0 6.521 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 6.522 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.523 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.524 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 6.525 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.527 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.528 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 6.529 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.530 * [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)))))))) 6.530 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 6.530 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 6.530 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 6.530 * [taylor]: Taking taylor expansion of 1.0 in k 6.530 * [backup-simplify]: Simplify 1.0 into 1.0 6.530 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 6.530 * [taylor]: Taking taylor expansion of (/ -1 k) in k 6.530 * [taylor]: Taking taylor expansion of -1 in k 6.530 * [backup-simplify]: Simplify -1 into -1 6.530 * [taylor]: Taking taylor expansion of k in k 6.530 * [backup-simplify]: Simplify 0 into 0 6.530 * [backup-simplify]: Simplify 1 into 1 6.530 * [backup-simplify]: Simplify (/ -1 1) into -1 6.530 * [backup-simplify]: Simplify (sqrt 0) into 0 6.531 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.532 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 6.532 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 6.532 * [taylor]: Taking taylor expansion of 1.0 in k 6.532 * [backup-simplify]: Simplify 1.0 into 1.0 6.532 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 6.532 * [taylor]: Taking taylor expansion of (/ -1 k) in k 6.532 * [taylor]: Taking taylor expansion of -1 in k 6.532 * [backup-simplify]: Simplify -1 into -1 6.532 * [taylor]: Taking taylor expansion of k in k 6.532 * [backup-simplify]: Simplify 0 into 0 6.532 * [backup-simplify]: Simplify 1 into 1 6.532 * [backup-simplify]: Simplify (/ -1 1) into -1 6.532 * [backup-simplify]: Simplify (sqrt 0) into 0 6.533 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.533 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 6.534 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.534 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.536 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.538 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 6.538 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.543 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.546 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.548 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 6.548 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.550 * [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))))) 6.550 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 6.550 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 6.550 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 6.550 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 6.550 * [taylor]: Taking taylor expansion of 1.0 in k 6.550 * [backup-simplify]: Simplify 1.0 into 1.0 6.550 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 6.550 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.550 * [taylor]: Taking taylor expansion of k in k 6.550 * [backup-simplify]: Simplify 0 into 0 6.550 * [backup-simplify]: Simplify 1 into 1 6.551 * [backup-simplify]: Simplify (/ 1 1) into 1 6.551 * [backup-simplify]: Simplify (sqrt 0) into 0 6.552 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.552 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 6.553 * [taylor]: Taking taylor expansion of 1.0 in k 6.553 * [backup-simplify]: Simplify 1.0 into 1.0 6.553 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 6.553 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.553 * [taylor]: Taking taylor expansion of k in k 6.553 * [backup-simplify]: Simplify 0 into 0 6.553 * [backup-simplify]: Simplify 1 into 1 6.553 * [backup-simplify]: Simplify (/ 1 1) into 1 6.554 * [backup-simplify]: Simplify (sqrt 0) into 0 6.555 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.555 * [backup-simplify]: Simplify (* 1.0 0) into 0 6.555 * [backup-simplify]: Simplify 0 into 0 6.557 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 6.557 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.561 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.563 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 6.563 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.568 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.571 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 6.571 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.572 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 6.572 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 6.573 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 6.573 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 6.573 * [taylor]: Taking taylor expansion of 1.0 in k 6.573 * [backup-simplify]: Simplify 1.0 into 1.0 6.573 * [taylor]: Taking taylor expansion of (sqrt k) in k 6.573 * [taylor]: Taking taylor expansion of k in k 6.573 * [backup-simplify]: Simplify 0 into 0 6.573 * [backup-simplify]: Simplify 1 into 1 6.573 * [backup-simplify]: Simplify (sqrt 0) into 0 6.574 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.574 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 6.574 * [taylor]: Taking taylor expansion of 1.0 in k 6.574 * [backup-simplify]: Simplify 1.0 into 1.0 6.575 * [taylor]: Taking taylor expansion of (sqrt k) in k 6.575 * [taylor]: Taking taylor expansion of k in k 6.575 * [backup-simplify]: Simplify 0 into 0 6.575 * [backup-simplify]: Simplify 1 into 1 6.575 * [backup-simplify]: Simplify (sqrt 0) into 0 6.576 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.577 * [backup-simplify]: Simplify (* 1.0 0) into 0 6.577 * [backup-simplify]: Simplify 0 into 0 6.579 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 6.579 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.581 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.582 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 6.583 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.585 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.586 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 6.586 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.587 * [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)))))))) 6.588 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 6.588 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 6.588 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 6.588 * [taylor]: Taking taylor expansion of 1.0 in k 6.588 * [backup-simplify]: Simplify 1.0 into 1.0 6.588 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 6.588 * [taylor]: Taking taylor expansion of (/ -1 k) in k 6.588 * [taylor]: Taking taylor expansion of -1 in k 6.588 * [backup-simplify]: Simplify -1 into -1 6.588 * [taylor]: Taking taylor expansion of k in k 6.588 * [backup-simplify]: Simplify 0 into 0 6.588 * [backup-simplify]: Simplify 1 into 1 6.588 * [backup-simplify]: Simplify (/ -1 1) into -1 6.588 * [backup-simplify]: Simplify (sqrt 0) into 0 6.589 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.589 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 6.589 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 6.589 * [taylor]: Taking taylor expansion of 1.0 in k 6.589 * [backup-simplify]: Simplify 1.0 into 1.0 6.589 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 6.590 * [taylor]: Taking taylor expansion of (/ -1 k) in k 6.590 * [taylor]: Taking taylor expansion of -1 in k 6.590 * [backup-simplify]: Simplify -1 into -1 6.590 * [taylor]: Taking taylor expansion of k in k 6.590 * [backup-simplify]: Simplify 0 into 0 6.590 * [backup-simplify]: Simplify 1 into 1 6.590 * [backup-simplify]: Simplify (/ -1 1) into -1 6.590 * [backup-simplify]: Simplify (sqrt 0) into 0 6.591 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.591 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 6.591 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.592 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.594 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.595 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 6.595 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.596 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.598 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.601 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 6.601 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.602 * [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))))) 6.602 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 6.603 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 6.603 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 6.603 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 6.603 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 6.603 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 6.603 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 6.603 * [taylor]: Taking taylor expansion of 0.5 in k 6.603 * [backup-simplify]: Simplify 0.5 into 0.5 6.603 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 6.603 * [taylor]: Taking taylor expansion of 1.0 in k 6.603 * [backup-simplify]: Simplify 1.0 into 1.0 6.603 * [taylor]: Taking taylor expansion of k in k 6.603 * [backup-simplify]: Simplify 0 into 0 6.603 * [backup-simplify]: Simplify 1 into 1 6.603 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 6.603 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 6.603 * [taylor]: Taking taylor expansion of 2.0 in k 6.603 * [backup-simplify]: Simplify 2.0 into 2.0 6.603 * [taylor]: Taking taylor expansion of (* n PI) in k 6.603 * [taylor]: Taking taylor expansion of n in k 6.603 * [backup-simplify]: Simplify n into n 6.603 * [taylor]: Taking taylor expansion of PI in k 6.603 * [backup-simplify]: Simplify PI into PI 6.603 * [backup-simplify]: Simplify (* n PI) into (* n PI) 6.603 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 6.603 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 6.604 * [backup-simplify]: Simplify (- 0) into 0 6.604 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.604 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 6.604 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 6.604 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 6.604 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 6.604 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 6.604 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 6.604 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 6.604 * [taylor]: Taking taylor expansion of 0.5 in n 6.604 * [backup-simplify]: Simplify 0.5 into 0.5 6.604 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 6.604 * [taylor]: Taking taylor expansion of 1.0 in n 6.604 * [backup-simplify]: Simplify 1.0 into 1.0 6.604 * [taylor]: Taking taylor expansion of k in n 6.605 * [backup-simplify]: Simplify k into k 6.605 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 6.605 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 6.605 * [taylor]: Taking taylor expansion of 2.0 in n 6.605 * [backup-simplify]: Simplify 2.0 into 2.0 6.605 * [taylor]: Taking taylor expansion of (* n PI) in n 6.605 * [taylor]: Taking taylor expansion of n in n 6.605 * [backup-simplify]: Simplify 0 into 0 6.605 * [backup-simplify]: Simplify 1 into 1 6.605 * [taylor]: Taking taylor expansion of PI in n 6.605 * [backup-simplify]: Simplify PI into PI 6.605 * [backup-simplify]: Simplify (* 0 PI) into 0 6.605 * [backup-simplify]: Simplify (* 2.0 0) into 0 6.606 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 6.607 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 6.608 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.608 * [backup-simplify]: Simplify (- k) into (- k) 6.608 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 6.608 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 6.609 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 6.609 * [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)))) 6.610 * [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))))) 6.610 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 6.610 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 6.610 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 6.610 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 6.610 * [taylor]: Taking taylor expansion of 0.5 in n 6.610 * [backup-simplify]: Simplify 0.5 into 0.5 6.610 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 6.610 * [taylor]: Taking taylor expansion of 1.0 in n 6.610 * [backup-simplify]: Simplify 1.0 into 1.0 6.610 * [taylor]: Taking taylor expansion of k in n 6.610 * [backup-simplify]: Simplify k into k 6.610 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 6.610 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 6.610 * [taylor]: Taking taylor expansion of 2.0 in n 6.611 * [backup-simplify]: Simplify 2.0 into 2.0 6.611 * [taylor]: Taking taylor expansion of (* n PI) in n 6.611 * [taylor]: Taking taylor expansion of n in n 6.611 * [backup-simplify]: Simplify 0 into 0 6.611 * [backup-simplify]: Simplify 1 into 1 6.611 * [taylor]: Taking taylor expansion of PI in n 6.611 * [backup-simplify]: Simplify PI into PI 6.611 * [backup-simplify]: Simplify (* 0 PI) into 0 6.611 * [backup-simplify]: Simplify (* 2.0 0) into 0 6.612 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 6.614 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 6.615 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.615 * [backup-simplify]: Simplify (- k) into (- k) 6.615 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 6.615 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 6.616 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 6.617 * [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)))) 6.618 * [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))))) 6.618 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 6.618 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 6.619 * [taylor]: Taking taylor expansion of 0.5 in k 6.619 * [backup-simplify]: Simplify 0.5 into 0.5 6.619 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 6.619 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 6.619 * [taylor]: Taking taylor expansion of 1.0 in k 6.619 * [backup-simplify]: Simplify 1.0 into 1.0 6.619 * [taylor]: Taking taylor expansion of k in k 6.619 * [backup-simplify]: Simplify 0 into 0 6.619 * [backup-simplify]: Simplify 1 into 1 6.619 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 6.619 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.619 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.619 * [taylor]: Taking taylor expansion of 2.0 in k 6.619 * [backup-simplify]: Simplify 2.0 into 2.0 6.619 * [taylor]: Taking taylor expansion of PI in k 6.619 * [backup-simplify]: Simplify PI into PI 6.619 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.621 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.621 * [taylor]: Taking taylor expansion of (log n) in k 6.621 * [taylor]: Taking taylor expansion of n in k 6.621 * [backup-simplify]: Simplify n into n 6.621 * [backup-simplify]: Simplify (log n) into (log n) 6.621 * [backup-simplify]: Simplify (- 0) into 0 6.621 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.623 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 6.624 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 6.625 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 6.626 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 6.627 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 6.628 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 6.629 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 6.630 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 6.631 * [backup-simplify]: Simplify (- 0) into 0 6.631 * [backup-simplify]: Simplify (+ 0 0) into 0 6.632 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 6.633 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 6.634 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 6.636 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.636 * [taylor]: Taking taylor expansion of 0 in k 6.636 * [backup-simplify]: Simplify 0 into 0 6.636 * [backup-simplify]: Simplify 0 into 0 6.637 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 6.639 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 6.640 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 6.640 * [backup-simplify]: Simplify (+ 0 0) into 0 6.640 * [backup-simplify]: Simplify (- 1) into -1 6.641 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.642 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 6.643 * [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)))) 6.645 * [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)))))) 6.647 * [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)))))) 6.647 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 6.648 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 6.650 * [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 6.650 * [backup-simplify]: Simplify (- 0) into 0 6.650 * [backup-simplify]: Simplify (+ 0 0) into 0 6.651 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 6.652 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 6.653 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 6.660 * [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 6.660 * [taylor]: Taking taylor expansion of 0 in k 6.660 * [backup-simplify]: Simplify 0 into 0 6.660 * [backup-simplify]: Simplify 0 into 0 6.660 * [backup-simplify]: Simplify 0 into 0 6.661 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 6.663 * [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 6.664 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 6.664 * [backup-simplify]: Simplify (+ 0 0) into 0 6.664 * [backup-simplify]: Simplify (- 0) into 0 6.665 * [backup-simplify]: Simplify (+ 0 0) into 0 6.666 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 6.667 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 6.670 * [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)))))) 6.673 * [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)))))) 6.679 * [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)))))) 6.680 * [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)))) 6.680 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 6.680 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 6.680 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 6.680 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 6.680 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 6.680 * [taylor]: Taking taylor expansion of 0.5 in k 6.680 * [backup-simplify]: Simplify 0.5 into 0.5 6.680 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 6.680 * [taylor]: Taking taylor expansion of 1.0 in k 6.680 * [backup-simplify]: Simplify 1.0 into 1.0 6.680 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.680 * [taylor]: Taking taylor expansion of k in k 6.680 * [backup-simplify]: Simplify 0 into 0 6.680 * [backup-simplify]: Simplify 1 into 1 6.680 * [backup-simplify]: Simplify (/ 1 1) into 1 6.680 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 6.680 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 6.680 * [taylor]: Taking taylor expansion of 2.0 in k 6.680 * [backup-simplify]: Simplify 2.0 into 2.0 6.681 * [taylor]: Taking taylor expansion of (/ PI n) in k 6.681 * [taylor]: Taking taylor expansion of PI in k 6.681 * [backup-simplify]: Simplify PI into PI 6.681 * [taylor]: Taking taylor expansion of n in k 6.681 * [backup-simplify]: Simplify n into n 6.681 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 6.681 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 6.681 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 6.681 * [backup-simplify]: Simplify (- 1) into -1 6.682 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.682 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 6.682 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 6.683 * [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))))) 6.683 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 6.683 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 6.683 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 6.683 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 6.683 * [taylor]: Taking taylor expansion of 0.5 in n 6.683 * [backup-simplify]: Simplify 0.5 into 0.5 6.683 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.683 * [taylor]: Taking taylor expansion of 1.0 in n 6.683 * [backup-simplify]: Simplify 1.0 into 1.0 6.683 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.683 * [taylor]: Taking taylor expansion of k in n 6.683 * [backup-simplify]: Simplify k into k 6.683 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.683 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 6.683 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.683 * [taylor]: Taking taylor expansion of 2.0 in n 6.683 * [backup-simplify]: Simplify 2.0 into 2.0 6.683 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.683 * [taylor]: Taking taylor expansion of PI in n 6.683 * [backup-simplify]: Simplify PI into PI 6.683 * [taylor]: Taking taylor expansion of n in n 6.683 * [backup-simplify]: Simplify 0 into 0 6.683 * [backup-simplify]: Simplify 1 into 1 6.684 * [backup-simplify]: Simplify (/ PI 1) into PI 6.684 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.685 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.685 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 6.685 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 6.685 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 6.686 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 6.687 * [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)))) 6.688 * [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))))) 6.688 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 6.688 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 6.688 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 6.688 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 6.688 * [taylor]: Taking taylor expansion of 0.5 in n 6.688 * [backup-simplify]: Simplify 0.5 into 0.5 6.688 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.688 * [taylor]: Taking taylor expansion of 1.0 in n 6.688 * [backup-simplify]: Simplify 1.0 into 1.0 6.688 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.688 * [taylor]: Taking taylor expansion of k in n 6.688 * [backup-simplify]: Simplify k into k 6.688 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.688 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 6.688 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.688 * [taylor]: Taking taylor expansion of 2.0 in n 6.688 * [backup-simplify]: Simplify 2.0 into 2.0 6.688 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.688 * [taylor]: Taking taylor expansion of PI in n 6.688 * [backup-simplify]: Simplify PI into PI 6.688 * [taylor]: Taking taylor expansion of n in n 6.688 * [backup-simplify]: Simplify 0 into 0 6.688 * [backup-simplify]: Simplify 1 into 1 6.689 * [backup-simplify]: Simplify (/ PI 1) into PI 6.689 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.689 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.690 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 6.690 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 6.690 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 6.691 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 6.691 * [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)))) 6.692 * [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))))) 6.692 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 6.692 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 6.692 * [taylor]: Taking taylor expansion of 0.5 in k 6.692 * [backup-simplify]: Simplify 0.5 into 0.5 6.692 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 6.692 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 6.692 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.692 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.692 * [taylor]: Taking taylor expansion of 2.0 in k 6.692 * [backup-simplify]: Simplify 2.0 into 2.0 6.692 * [taylor]: Taking taylor expansion of PI in k 6.692 * [backup-simplify]: Simplify PI into PI 6.693 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.693 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.693 * [taylor]: Taking taylor expansion of (log n) in k 6.693 * [taylor]: Taking taylor expansion of n in k 6.693 * [backup-simplify]: Simplify n into n 6.693 * [backup-simplify]: Simplify (log n) into (log n) 6.693 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 6.693 * [taylor]: Taking taylor expansion of 1.0 in k 6.693 * [backup-simplify]: Simplify 1.0 into 1.0 6.693 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.693 * [taylor]: Taking taylor expansion of k in k 6.693 * [backup-simplify]: Simplify 0 into 0 6.693 * [backup-simplify]: Simplify 1 into 1 6.694 * [backup-simplify]: Simplify (/ 1 1) into 1 6.694 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 6.694 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 6.695 * [backup-simplify]: Simplify (- 1) into -1 6.695 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.696 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 6.696 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 6.697 * [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))))) 6.698 * [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))))) 6.698 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.699 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 6.700 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 6.700 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 6.700 * [backup-simplify]: Simplify (- 0) into 0 6.700 * [backup-simplify]: Simplify (+ 0 0) into 0 6.701 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 6.702 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 6.702 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 6.703 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.704 * [taylor]: Taking taylor expansion of 0 in k 6.704 * [backup-simplify]: Simplify 0 into 0 6.704 * [backup-simplify]: Simplify 0 into 0 6.704 * [backup-simplify]: Simplify 0 into 0 6.704 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.705 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 6.707 * [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 6.707 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 6.707 * [backup-simplify]: Simplify (- 0) into 0 6.708 * [backup-simplify]: Simplify (+ 0 0) into 0 6.708 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 6.709 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 6.710 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 6.711 * [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 6.711 * [taylor]: Taking taylor expansion of 0 in k 6.711 * [backup-simplify]: Simplify 0 into 0 6.711 * [backup-simplify]: Simplify 0 into 0 6.711 * [backup-simplify]: Simplify 0 into 0 6.711 * [backup-simplify]: Simplify 0 into 0 6.712 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.713 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 6.716 * [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 6.716 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 6.717 * [backup-simplify]: Simplify (- 0) into 0 6.717 * [backup-simplify]: Simplify (+ 0 0) into 0 6.718 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 6.718 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 6.720 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 6.722 * [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 6.722 * [taylor]: Taking taylor expansion of 0 in k 6.722 * [backup-simplify]: Simplify 0 into 0 6.722 * [backup-simplify]: Simplify 0 into 0 6.724 * [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)))) 6.725 * [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))) 6.725 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 6.725 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 6.725 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 6.725 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 6.725 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 6.725 * [taylor]: Taking taylor expansion of 0.5 in k 6.725 * [backup-simplify]: Simplify 0.5 into 0.5 6.725 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.725 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.725 * [taylor]: Taking taylor expansion of k in k 6.725 * [backup-simplify]: Simplify 0 into 0 6.725 * [backup-simplify]: Simplify 1 into 1 6.726 * [backup-simplify]: Simplify (/ 1 1) into 1 6.726 * [taylor]: Taking taylor expansion of 1.0 in k 6.726 * [backup-simplify]: Simplify 1.0 into 1.0 6.726 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 6.726 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 6.726 * [taylor]: Taking taylor expansion of -2.0 in k 6.726 * [backup-simplify]: Simplify -2.0 into -2.0 6.726 * [taylor]: Taking taylor expansion of (/ PI n) in k 6.726 * [taylor]: Taking taylor expansion of PI in k 6.726 * [backup-simplify]: Simplify PI into PI 6.726 * [taylor]: Taking taylor expansion of n in k 6.726 * [backup-simplify]: Simplify n into n 6.726 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 6.726 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 6.726 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 6.727 * [backup-simplify]: Simplify (+ 1 0) into 1 6.727 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 6.727 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 6.728 * [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)))))) 6.728 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 6.728 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 6.728 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 6.728 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 6.728 * [taylor]: Taking taylor expansion of 0.5 in n 6.728 * [backup-simplify]: Simplify 0.5 into 0.5 6.728 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.728 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.728 * [taylor]: Taking taylor expansion of k in n 6.728 * [backup-simplify]: Simplify k into k 6.728 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.728 * [taylor]: Taking taylor expansion of 1.0 in n 6.728 * [backup-simplify]: Simplify 1.0 into 1.0 6.728 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 6.728 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.728 * [taylor]: Taking taylor expansion of -2.0 in n 6.728 * [backup-simplify]: Simplify -2.0 into -2.0 6.728 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.728 * [taylor]: Taking taylor expansion of PI in n 6.728 * [backup-simplify]: Simplify PI into PI 6.728 * [taylor]: Taking taylor expansion of n in n 6.728 * [backup-simplify]: Simplify 0 into 0 6.728 * [backup-simplify]: Simplify 1 into 1 6.729 * [backup-simplify]: Simplify (/ PI 1) into PI 6.730 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 6.731 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 6.731 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 6.731 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 6.733 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 6.734 * [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)))) 6.735 * [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))))) 6.735 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 6.735 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 6.735 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 6.735 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 6.736 * [taylor]: Taking taylor expansion of 0.5 in n 6.736 * [backup-simplify]: Simplify 0.5 into 0.5 6.736 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.736 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.736 * [taylor]: Taking taylor expansion of k in n 6.736 * [backup-simplify]: Simplify k into k 6.736 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.736 * [taylor]: Taking taylor expansion of 1.0 in n 6.736 * [backup-simplify]: Simplify 1.0 into 1.0 6.736 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 6.736 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.736 * [taylor]: Taking taylor expansion of -2.0 in n 6.736 * [backup-simplify]: Simplify -2.0 into -2.0 6.736 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.736 * [taylor]: Taking taylor expansion of PI in n 6.736 * [backup-simplify]: Simplify PI into PI 6.736 * [taylor]: Taking taylor expansion of n in n 6.736 * [backup-simplify]: Simplify 0 into 0 6.736 * [backup-simplify]: Simplify 1 into 1 6.737 * [backup-simplify]: Simplify (/ PI 1) into PI 6.737 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 6.739 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 6.739 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 6.739 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 6.740 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 6.742 * [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)))) 6.743 * [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))))) 6.743 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 6.743 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 6.743 * [taylor]: Taking taylor expansion of 0.5 in k 6.743 * [backup-simplify]: Simplify 0.5 into 0.5 6.743 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 6.743 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.743 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.743 * [taylor]: Taking taylor expansion of k in k 6.743 * [backup-simplify]: Simplify 0 into 0 6.743 * [backup-simplify]: Simplify 1 into 1 6.744 * [backup-simplify]: Simplify (/ 1 1) into 1 6.744 * [taylor]: Taking taylor expansion of 1.0 in k 6.744 * [backup-simplify]: Simplify 1.0 into 1.0 6.744 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 6.744 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 6.744 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 6.744 * [taylor]: Taking taylor expansion of -2.0 in k 6.744 * [backup-simplify]: Simplify -2.0 into -2.0 6.744 * [taylor]: Taking taylor expansion of PI in k 6.744 * [backup-simplify]: Simplify PI into PI 6.745 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 6.746 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 6.746 * [taylor]: Taking taylor expansion of (log n) in k 6.746 * [taylor]: Taking taylor expansion of n in k 6.746 * [backup-simplify]: Simplify n into n 6.746 * [backup-simplify]: Simplify (log n) into (log n) 6.746 * [backup-simplify]: Simplify (+ 1 0) into 1 6.746 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 6.747 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 6.749 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 6.750 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 6.751 * [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))))) 6.752 * [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))))) 6.753 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.754 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 6.756 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 6.756 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 6.757 * [backup-simplify]: Simplify (+ 0 0) into 0 6.757 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 6.759 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 6.760 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 6.762 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.762 * [taylor]: Taking taylor expansion of 0 in k 6.762 * [backup-simplify]: Simplify 0 into 0 6.762 * [backup-simplify]: Simplify 0 into 0 6.762 * [backup-simplify]: Simplify 0 into 0 6.763 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.764 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 6.768 * [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 6.768 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 6.769 * [backup-simplify]: Simplify (+ 0 0) into 0 6.770 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 6.771 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 6.773 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 6.784 * [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 6.784 * [taylor]: Taking taylor expansion of 0 in k 6.784 * [backup-simplify]: Simplify 0 into 0 6.784 * [backup-simplify]: Simplify 0 into 0 6.784 * [backup-simplify]: Simplify 0 into 0 6.784 * [backup-simplify]: Simplify 0 into 0 6.785 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.786 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 6.792 * [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 6.793 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 6.793 * [backup-simplify]: Simplify (+ 0 0) into 0 6.795 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 6.796 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 6.799 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 6.801 * [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 6.801 * [taylor]: Taking taylor expansion of 0 in k 6.801 * [backup-simplify]: Simplify 0 into 0 6.801 * [backup-simplify]: Simplify 0 into 0 6.802 * [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)))))) 6.802 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 6.802 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 6.802 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 6.802 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 6.802 * [taylor]: Taking taylor expansion of 2.0 in n 6.802 * [backup-simplify]: Simplify 2.0 into 2.0 6.802 * [taylor]: Taking taylor expansion of (* n PI) in n 6.802 * [taylor]: Taking taylor expansion of n in n 6.802 * [backup-simplify]: Simplify 0 into 0 6.802 * [backup-simplify]: Simplify 1 into 1 6.802 * [taylor]: Taking taylor expansion of PI in n 6.802 * [backup-simplify]: Simplify PI into PI 6.802 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 6.802 * [taylor]: Taking taylor expansion of 2.0 in n 6.802 * [backup-simplify]: Simplify 2.0 into 2.0 6.802 * [taylor]: Taking taylor expansion of (* n PI) in n 6.803 * [taylor]: Taking taylor expansion of n in n 6.803 * [backup-simplify]: Simplify 0 into 0 6.803 * [backup-simplify]: Simplify 1 into 1 6.803 * [taylor]: Taking taylor expansion of PI in n 6.803 * [backup-simplify]: Simplify PI into PI 6.803 * [backup-simplify]: Simplify (* 0 PI) into 0 6.803 * [backup-simplify]: Simplify (* 2.0 0) into 0 6.803 * [backup-simplify]: Simplify 0 into 0 6.804 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 6.805 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 6.806 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.806 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 6.807 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 6.807 * [backup-simplify]: Simplify 0 into 0 6.807 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 6.808 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 6.808 * [backup-simplify]: Simplify 0 into 0 6.809 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 6.810 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 6.810 * [backup-simplify]: Simplify 0 into 0 6.811 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 6.812 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 6.812 * [backup-simplify]: Simplify 0 into 0 6.813 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 6.813 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 6.814 * [backup-simplify]: Simplify 0 into 0 6.815 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 6.816 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 6.816 * [backup-simplify]: Simplify 0 into 0 6.816 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 6.816 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 6.816 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 6.816 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.816 * [taylor]: Taking taylor expansion of 2.0 in n 6.816 * [backup-simplify]: Simplify 2.0 into 2.0 6.816 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.816 * [taylor]: Taking taylor expansion of PI in n 6.817 * [backup-simplify]: Simplify PI into PI 6.817 * [taylor]: Taking taylor expansion of n in n 6.817 * [backup-simplify]: Simplify 0 into 0 6.817 * [backup-simplify]: Simplify 1 into 1 6.817 * [backup-simplify]: Simplify (/ PI 1) into PI 6.817 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.817 * [taylor]: Taking taylor expansion of 2.0 in n 6.817 * [backup-simplify]: Simplify 2.0 into 2.0 6.817 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.817 * [taylor]: Taking taylor expansion of PI in n 6.817 * [backup-simplify]: Simplify PI into PI 6.817 * [taylor]: Taking taylor expansion of n in n 6.817 * [backup-simplify]: Simplify 0 into 0 6.817 * [backup-simplify]: Simplify 1 into 1 6.817 * [backup-simplify]: Simplify (/ PI 1) into PI 6.818 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.818 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.819 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.819 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 6.819 * [backup-simplify]: Simplify 0 into 0 6.820 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.820 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 6.820 * [backup-simplify]: Simplify 0 into 0 6.821 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.822 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 6.822 * [backup-simplify]: Simplify 0 into 0 6.822 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.823 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 6.823 * [backup-simplify]: Simplify 0 into 0 6.824 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.824 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 6.824 * [backup-simplify]: Simplify 0 into 0 6.825 * [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 6.826 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 6.826 * [backup-simplify]: Simplify 0 into 0 6.826 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 6.827 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 6.827 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 6.827 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.827 * [taylor]: Taking taylor expansion of -2.0 in n 6.827 * [backup-simplify]: Simplify -2.0 into -2.0 6.827 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.827 * [taylor]: Taking taylor expansion of PI in n 6.827 * [backup-simplify]: Simplify PI into PI 6.827 * [taylor]: Taking taylor expansion of n in n 6.827 * [backup-simplify]: Simplify 0 into 0 6.827 * [backup-simplify]: Simplify 1 into 1 6.827 * [backup-simplify]: Simplify (/ PI 1) into PI 6.827 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.827 * [taylor]: Taking taylor expansion of -2.0 in n 6.827 * [backup-simplify]: Simplify -2.0 into -2.0 6.827 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.827 * [taylor]: Taking taylor expansion of PI in n 6.827 * [backup-simplify]: Simplify PI into PI 6.828 * [taylor]: Taking taylor expansion of n in n 6.828 * [backup-simplify]: Simplify 0 into 0 6.828 * [backup-simplify]: Simplify 1 into 1 6.828 * [backup-simplify]: Simplify (/ PI 1) into PI 6.828 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 6.829 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 6.830 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.831 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 6.831 * [backup-simplify]: Simplify 0 into 0 6.832 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.833 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 6.833 * [backup-simplify]: Simplify 0 into 0 6.834 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.835 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 6.835 * [backup-simplify]: Simplify 0 into 0 6.836 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.838 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 6.838 * [backup-simplify]: Simplify 0 into 0 6.839 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.841 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 6.841 * [backup-simplify]: Simplify 0 into 0 6.842 * [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 6.844 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 6.844 * [backup-simplify]: Simplify 0 into 0 6.844 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 6.844 * * * [progress]: simplifying candidates 6.848 * [simplify]: Simplifying: (- (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) (- (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) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (+ (* +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 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))))) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 6.854 * * [simplify]: Extracting # 0 : cost 0 6.855 * * [simplify]: Extracting # 1 : cost 0 6.855 * * [simplify]: Extracting # 2 : cost 0 6.856 * * [simplify]: Extracting # 3 : cost 0 6.856 * * [simplify]: Extracting # 4 : cost 0 6.857 * * [simplify]: Extracting # 5 : cost 0 6.857 * * [simplify]: Extracting # 6 : cost 0 6.858 * * [simplify]: Extracting # 7 : cost 0 6.859 * * [simplify]: Extracting # 8 : cost 0 6.859 * * [simplify]: Extracting # 9 : cost 0 6.860 * * [simplify]: Extracting # 10 : cost 0 6.860 * * [simplify]: Extracting # 11 : cost 0 6.861 * * [simplify]: Extracting # 12 : cost 0 6.861 * * [simplify]: Extracting # 13 : cost 0 6.862 * * [simplify]: Extracting # 14 : cost 0 6.863 * * [simplify]: Extracting # 15 : cost 0 6.863 * * [simplify]: iteration 0 : 234 enodes (cost 1642 ) 6.987 * * [simplify]: Extracting # 0 : cost 0 6.988 * * [simplify]: Extracting # 1 : cost 0 6.990 * * [simplify]: Extracting # 2 : cost 0 6.992 * * [simplify]: Extracting # 3 : cost 0 6.994 * * [simplify]: Extracting # 4 : cost 0 6.995 * * [simplify]: Extracting # 5 : cost 0 6.997 * * [simplify]: iteration 1 : 602 enodes (cost 1507 ) 7.400 * * [simplify]: Extracting # 0 : cost 0 7.407 * * [simplify]: Extracting # 1 : cost 0 7.411 * * [simplify]: Extracting # 2 : cost 0 7.415 * * [simplify]: Extracting # 3 : cost 0 7.419 * * [simplify]: Extracting # 4 : cost 0 7.423 * * [simplify]: iteration 2 : 2730 enodes (cost 1405 ) 8.697 * * [simplify]: Extracting # 0 : cost 0 8.717 * * [simplify]: Extracting # 1 : cost 0 8.728 * * [simplify]: Extracting # 2 : cost 0 8.740 * * [simplify]: Extracting # 3 : cost 0 8.756 * * [simplify]: Extracting # 4 : cost 0 8.762 * * [simplify]: iteration done: 5000 enodes (cost 1401 ) 8.763 * [simplify]: Simplified to: (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (pow 1.0 3) (* (sqrt k) k)) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt k))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (pow 1.0 3) (* (sqrt k) k)) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt k))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log (pow (* (* 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 (* n PI)) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 (* 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 (* n (* 2.0 PI)) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (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 (* n (* 2.0 PI))) (log (* n (* 2.0 PI))) (log (* n (* 2.0 PI))) (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)) (* (* (cbrt n) (cbrt n)) (* 2.0 PI)) (* (sqrt n) (* 2.0 PI)) (* 2.0 PI) (* PI n) (- (- (* +nan.0 k) (- (* +nan.0 (pow k 2)) +nan.0))) (+ (- (/ +nan.0 k) (/ +nan.0 (pow k 3))) (/ (- +nan.0) (pow k 2))) (+ (/ (- +nan.0) (pow k 2)) (- (/ +nan.0 k) +nan.0)) (- (- (* +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)) (- (+ (+ (* (* (pow k 2) (log (* 2.0 PI))) (* (* (log n) (pow (* (* 2.0 PI) n) 0.5)) 0.25)) (pow (* (* 2.0 PI) n) 0.5)) (* (* 0.125 (pow k 2)) (+ (* (pow (log (* 2.0 PI)) 2) (pow (* (* 2.0 PI) n) 0.5)) (* (pow (log n) 2) (pow (* (* 2.0 PI) n) 0.5))))) (* (* k (+ (* (log (* 2.0 PI)) (pow (* (* 2.0 PI) n) 0.5)) (* (log n) (pow (* (* 2.0 PI) n) 0.5)))) 0.5)) (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)) 8.764 * * * [progress]: adding candidates to table 9.488 * * [progress]: iteration 3 / 4 9.488 * * * [progress]: picking best candidate 9.561 * * * * [pick]: Picked # 9.561 * * * [progress]: localizing error 9.592 * * * [progress]: generating rewritten candidates 9.592 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 9.599 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 9.622 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 9.664 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 9.886 * * * [progress]: generating series expansions 9.886 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 9.886 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 9.886 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 9.886 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 9.886 * [taylor]: Taking taylor expansion of 1.0 in k 9.886 * [backup-simplify]: Simplify 1.0 into 1.0 9.886 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 9.886 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.886 * [taylor]: Taking taylor expansion of k in k 9.886 * [backup-simplify]: Simplify 0 into 0 9.886 * [backup-simplify]: Simplify 1 into 1 9.887 * [backup-simplify]: Simplify (/ 1 1) into 1 9.887 * [backup-simplify]: Simplify (sqrt 0) into 0 9.888 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.888 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 9.888 * [taylor]: Taking taylor expansion of 1.0 in k 9.888 * [backup-simplify]: Simplify 1.0 into 1.0 9.888 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 9.888 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.888 * [taylor]: Taking taylor expansion of k in k 9.888 * [backup-simplify]: Simplify 0 into 0 9.888 * [backup-simplify]: Simplify 1 into 1 9.888 * [backup-simplify]: Simplify (/ 1 1) into 1 9.889 * [backup-simplify]: Simplify (sqrt 0) into 0 9.889 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.890 * [backup-simplify]: Simplify (* 1.0 0) into 0 9.890 * [backup-simplify]: Simplify 0 into 0 9.891 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 9.891 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.893 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.895 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 9.895 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.898 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.899 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 9.899 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.900 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 9.900 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 9.900 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 9.900 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 9.900 * [taylor]: Taking taylor expansion of 1.0 in k 9.900 * [backup-simplify]: Simplify 1.0 into 1.0 9.900 * [taylor]: Taking taylor expansion of (sqrt k) in k 9.900 * [taylor]: Taking taylor expansion of k in k 9.900 * [backup-simplify]: Simplify 0 into 0 9.900 * [backup-simplify]: Simplify 1 into 1 9.901 * [backup-simplify]: Simplify (sqrt 0) into 0 9.901 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.901 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 9.901 * [taylor]: Taking taylor expansion of 1.0 in k 9.901 * [backup-simplify]: Simplify 1.0 into 1.0 9.901 * [taylor]: Taking taylor expansion of (sqrt k) in k 9.901 * [taylor]: Taking taylor expansion of k in k 9.901 * [backup-simplify]: Simplify 0 into 0 9.901 * [backup-simplify]: Simplify 1 into 1 9.902 * [backup-simplify]: Simplify (sqrt 0) into 0 9.902 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.903 * [backup-simplify]: Simplify (* 1.0 0) into 0 9.903 * [backup-simplify]: Simplify 0 into 0 9.904 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 9.904 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.906 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.907 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 9.907 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.917 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.919 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 9.919 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.921 * [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)))))))) 9.921 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 9.921 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 9.921 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 9.922 * [taylor]: Taking taylor expansion of 1.0 in k 9.922 * [backup-simplify]: Simplify 1.0 into 1.0 9.922 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 9.922 * [taylor]: Taking taylor expansion of (/ -1 k) in k 9.922 * [taylor]: Taking taylor expansion of -1 in k 9.922 * [backup-simplify]: Simplify -1 into -1 9.922 * [taylor]: Taking taylor expansion of k in k 9.922 * [backup-simplify]: Simplify 0 into 0 9.922 * [backup-simplify]: Simplify 1 into 1 9.922 * [backup-simplify]: Simplify (/ -1 1) into -1 9.923 * [backup-simplify]: Simplify (sqrt 0) into 0 9.924 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.924 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 9.924 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 9.925 * [taylor]: Taking taylor expansion of 1.0 in k 9.925 * [backup-simplify]: Simplify 1.0 into 1.0 9.925 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 9.925 * [taylor]: Taking taylor expansion of (/ -1 k) in k 9.925 * [taylor]: Taking taylor expansion of -1 in k 9.925 * [backup-simplify]: Simplify -1 into -1 9.925 * [taylor]: Taking taylor expansion of k in k 9.925 * [backup-simplify]: Simplify 0 into 0 9.925 * [backup-simplify]: Simplify 1 into 1 9.925 * [backup-simplify]: Simplify (/ -1 1) into -1 9.926 * [backup-simplify]: Simplify (sqrt 0) into 0 9.927 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.928 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 9.928 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.929 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.932 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.934 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 9.935 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.936 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.940 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.944 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 9.945 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.946 * [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))))) 9.946 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 9.946 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 9.946 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 9.946 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 9.947 * [taylor]: Taking taylor expansion of 2.0 in n 9.947 * [backup-simplify]: Simplify 2.0 into 2.0 9.947 * [taylor]: Taking taylor expansion of (* n PI) in n 9.947 * [taylor]: Taking taylor expansion of n in n 9.947 * [backup-simplify]: Simplify 0 into 0 9.947 * [backup-simplify]: Simplify 1 into 1 9.947 * [taylor]: Taking taylor expansion of PI in n 9.947 * [backup-simplify]: Simplify PI into PI 9.947 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 9.947 * [taylor]: Taking taylor expansion of 2.0 in n 9.947 * [backup-simplify]: Simplify 2.0 into 2.0 9.947 * [taylor]: Taking taylor expansion of (* n PI) in n 9.947 * [taylor]: Taking taylor expansion of n in n 9.947 * [backup-simplify]: Simplify 0 into 0 9.947 * [backup-simplify]: Simplify 1 into 1 9.947 * [taylor]: Taking taylor expansion of PI in n 9.947 * [backup-simplify]: Simplify PI into PI 9.947 * [backup-simplify]: Simplify (* 0 PI) into 0 9.948 * [backup-simplify]: Simplify (* 2.0 0) into 0 9.948 * [backup-simplify]: Simplify 0 into 0 9.949 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 9.951 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 9.952 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.953 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 9.954 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 9.954 * [backup-simplify]: Simplify 0 into 0 9.955 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 9.956 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 9.956 * [backup-simplify]: Simplify 0 into 0 9.958 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 9.959 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 9.959 * [backup-simplify]: Simplify 0 into 0 9.961 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 9.962 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 9.962 * [backup-simplify]: Simplify 0 into 0 9.964 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 9.966 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 9.966 * [backup-simplify]: Simplify 0 into 0 9.968 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 9.970 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 9.970 * [backup-simplify]: Simplify 0 into 0 9.971 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 9.972 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 9.972 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 9.972 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 9.972 * [taylor]: Taking taylor expansion of 2.0 in n 9.972 * [backup-simplify]: Simplify 2.0 into 2.0 9.972 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.972 * [taylor]: Taking taylor expansion of PI in n 9.972 * [backup-simplify]: Simplify PI into PI 9.972 * [taylor]: Taking taylor expansion of n in n 9.972 * [backup-simplify]: Simplify 0 into 0 9.972 * [backup-simplify]: Simplify 1 into 1 9.973 * [backup-simplify]: Simplify (/ PI 1) into PI 9.973 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 9.973 * [taylor]: Taking taylor expansion of 2.0 in n 9.973 * [backup-simplify]: Simplify 2.0 into 2.0 9.973 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.973 * [taylor]: Taking taylor expansion of PI in n 9.973 * [backup-simplify]: Simplify PI into PI 9.973 * [taylor]: Taking taylor expansion of n in n 9.973 * [backup-simplify]: Simplify 0 into 0 9.973 * [backup-simplify]: Simplify 1 into 1 9.973 * [backup-simplify]: Simplify (/ PI 1) into PI 9.974 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.974 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.975 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.976 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 9.976 * [backup-simplify]: Simplify 0 into 0 9.977 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.978 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 9.978 * [backup-simplify]: Simplify 0 into 0 9.980 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.981 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.981 * [backup-simplify]: Simplify 0 into 0 9.982 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.983 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 9.983 * [backup-simplify]: Simplify 0 into 0 9.985 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.986 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 9.986 * [backup-simplify]: Simplify 0 into 0 9.988 * [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 9.989 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 9.989 * [backup-simplify]: Simplify 0 into 0 9.990 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 9.991 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 9.991 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 9.991 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 9.991 * [taylor]: Taking taylor expansion of -2.0 in n 9.991 * [backup-simplify]: Simplify -2.0 into -2.0 9.991 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.991 * [taylor]: Taking taylor expansion of PI in n 9.991 * [backup-simplify]: Simplify PI into PI 9.991 * [taylor]: Taking taylor expansion of n in n 9.991 * [backup-simplify]: Simplify 0 into 0 9.991 * [backup-simplify]: Simplify 1 into 1 9.991 * [backup-simplify]: Simplify (/ PI 1) into PI 9.992 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 9.992 * [taylor]: Taking taylor expansion of -2.0 in n 9.992 * [backup-simplify]: Simplify -2.0 into -2.0 9.992 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.992 * [taylor]: Taking taylor expansion of PI in n 9.992 * [backup-simplify]: Simplify PI into PI 9.992 * [taylor]: Taking taylor expansion of n in n 9.992 * [backup-simplify]: Simplify 0 into 0 9.992 * [backup-simplify]: Simplify 1 into 1 9.992 * [backup-simplify]: Simplify (/ PI 1) into PI 9.993 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 9.993 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 9.994 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.995 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 9.995 * [backup-simplify]: Simplify 0 into 0 9.996 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.997 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 9.997 * [backup-simplify]: Simplify 0 into 0 9.997 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.998 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.998 * [backup-simplify]: Simplify 0 into 0 9.999 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.999 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 9.999 * [backup-simplify]: Simplify 0 into 0 10.000 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.001 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 10.001 * [backup-simplify]: Simplify 0 into 0 10.002 * [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 10.003 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 10.003 * [backup-simplify]: Simplify 0 into 0 10.003 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 10.003 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 10.003 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 10.003 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 10.003 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 10.003 * [taylor]: Taking taylor expansion of 2.0 in n 10.003 * [backup-simplify]: Simplify 2.0 into 2.0 10.003 * [taylor]: Taking taylor expansion of (* n PI) in n 10.003 * [taylor]: Taking taylor expansion of n in n 10.003 * [backup-simplify]: Simplify 0 into 0 10.004 * [backup-simplify]: Simplify 1 into 1 10.004 * [taylor]: Taking taylor expansion of PI in n 10.004 * [backup-simplify]: Simplify PI into PI 10.004 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 10.004 * [taylor]: Taking taylor expansion of 2.0 in n 10.004 * [backup-simplify]: Simplify 2.0 into 2.0 10.004 * [taylor]: Taking taylor expansion of (* n PI) in n 10.004 * [taylor]: Taking taylor expansion of n in n 10.004 * [backup-simplify]: Simplify 0 into 0 10.004 * [backup-simplify]: Simplify 1 into 1 10.004 * [taylor]: Taking taylor expansion of PI in n 10.004 * [backup-simplify]: Simplify PI into PI 10.004 * [backup-simplify]: Simplify (* 0 PI) into 0 10.004 * [backup-simplify]: Simplify (* 2.0 0) into 0 10.004 * [backup-simplify]: Simplify 0 into 0 10.005 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 10.006 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 10.006 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 10.007 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 10.008 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 10.008 * [backup-simplify]: Simplify 0 into 0 10.008 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 10.009 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 10.009 * [backup-simplify]: Simplify 0 into 0 10.010 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 10.011 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 10.011 * [backup-simplify]: Simplify 0 into 0 10.011 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 10.012 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 10.012 * [backup-simplify]: Simplify 0 into 0 10.013 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 10.014 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 10.014 * [backup-simplify]: Simplify 0 into 0 10.015 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 10.016 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 10.016 * [backup-simplify]: Simplify 0 into 0 10.017 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 10.017 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 10.017 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 10.017 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 10.017 * [taylor]: Taking taylor expansion of 2.0 in n 10.017 * [backup-simplify]: Simplify 2.0 into 2.0 10.017 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.017 * [taylor]: Taking taylor expansion of PI in n 10.017 * [backup-simplify]: Simplify PI into PI 10.017 * [taylor]: Taking taylor expansion of n in n 10.017 * [backup-simplify]: Simplify 0 into 0 10.017 * [backup-simplify]: Simplify 1 into 1 10.018 * [backup-simplify]: Simplify (/ PI 1) into PI 10.018 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 10.018 * [taylor]: Taking taylor expansion of 2.0 in n 10.018 * [backup-simplify]: Simplify 2.0 into 2.0 10.018 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.018 * [taylor]: Taking taylor expansion of PI in n 10.018 * [backup-simplify]: Simplify PI into PI 10.018 * [taylor]: Taking taylor expansion of n in n 10.018 * [backup-simplify]: Simplify 0 into 0 10.018 * [backup-simplify]: Simplify 1 into 1 10.018 * [backup-simplify]: Simplify (/ PI 1) into PI 10.018 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 10.019 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 10.019 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 10.020 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 10.020 * [backup-simplify]: Simplify 0 into 0 10.020 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.021 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 10.021 * [backup-simplify]: Simplify 0 into 0 10.022 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.022 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 10.022 * [backup-simplify]: Simplify 0 into 0 10.023 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.024 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 10.024 * [backup-simplify]: Simplify 0 into 0 10.024 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.025 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 10.025 * [backup-simplify]: Simplify 0 into 0 10.026 * [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 10.027 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 10.027 * [backup-simplify]: Simplify 0 into 0 10.027 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 10.028 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 10.028 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 10.028 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 10.028 * [taylor]: Taking taylor expansion of -2.0 in n 10.028 * [backup-simplify]: Simplify -2.0 into -2.0 10.028 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.028 * [taylor]: Taking taylor expansion of PI in n 10.028 * [backup-simplify]: Simplify PI into PI 10.028 * [taylor]: Taking taylor expansion of n in n 10.028 * [backup-simplify]: Simplify 0 into 0 10.028 * [backup-simplify]: Simplify 1 into 1 10.028 * [backup-simplify]: Simplify (/ PI 1) into PI 10.028 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 10.028 * [taylor]: Taking taylor expansion of -2.0 in n 10.028 * [backup-simplify]: Simplify -2.0 into -2.0 10.028 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.028 * [taylor]: Taking taylor expansion of PI in n 10.028 * [backup-simplify]: Simplify PI into PI 10.028 * [taylor]: Taking taylor expansion of n in n 10.028 * [backup-simplify]: Simplify 0 into 0 10.028 * [backup-simplify]: Simplify 1 into 1 10.029 * [backup-simplify]: Simplify (/ PI 1) into PI 10.029 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 10.030 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 10.031 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 10.032 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 10.032 * [backup-simplify]: Simplify 0 into 0 10.033 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.034 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 10.034 * [backup-simplify]: Simplify 0 into 0 10.035 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.036 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 10.036 * [backup-simplify]: Simplify 0 into 0 10.037 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.038 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 10.038 * [backup-simplify]: Simplify 0 into 0 10.039 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.041 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 10.041 * [backup-simplify]: Simplify 0 into 0 10.050 * [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 10.053 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 10.053 * [backup-simplify]: Simplify 0 into 0 10.053 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 10.053 * * * * [progress]: [ 4 / 4 ] generating series at (2) 10.055 * [backup-simplify]: Simplify (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) into (* 1.0 (* (sqrt (/ 1 k)) (pow (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 2))) 10.055 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 2))) in (k n) around 0 10.055 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 2))) in n 10.055 * [taylor]: Taking taylor expansion of 1.0 in n 10.055 * [backup-simplify]: Simplify 1.0 into 1.0 10.055 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 2)) in n 10.055 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 10.055 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.055 * [taylor]: Taking taylor expansion of k in n 10.055 * [backup-simplify]: Simplify k into k 10.056 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 10.056 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 10.056 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 10.056 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 10.056 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 2) in n 10.056 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 10.056 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 10.056 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 10.056 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 10.056 * [taylor]: Taking taylor expansion of 0.25 in n 10.056 * [backup-simplify]: Simplify 0.25 into 0.25 10.056 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 10.056 * [taylor]: Taking taylor expansion of 1.0 in n 10.056 * [backup-simplify]: Simplify 1.0 into 1.0 10.056 * [taylor]: Taking taylor expansion of k in n 10.056 * [backup-simplify]: Simplify k into k 10.056 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 10.056 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 10.056 * [taylor]: Taking taylor expansion of 2.0 in n 10.056 * [backup-simplify]: Simplify 2.0 into 2.0 10.056 * [taylor]: Taking taylor expansion of (* n PI) in n 10.056 * [taylor]: Taking taylor expansion of n in n 10.057 * [backup-simplify]: Simplify 0 into 0 10.057 * [backup-simplify]: Simplify 1 into 1 10.057 * [taylor]: Taking taylor expansion of PI in n 10.057 * [backup-simplify]: Simplify PI into PI 10.057 * [backup-simplify]: Simplify (* 0 PI) into 0 10.058 * [backup-simplify]: Simplify (* 2.0 0) into 0 10.059 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 10.061 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 10.062 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 10.062 * [backup-simplify]: Simplify (- k) into (- k) 10.062 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 10.062 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 10.063 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 10.065 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 10.066 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 10.066 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 2))) in k 10.066 * [taylor]: Taking taylor expansion of 1.0 in k 10.066 * [backup-simplify]: Simplify 1.0 into 1.0 10.066 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 2)) in k 10.066 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 10.066 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.066 * [taylor]: Taking taylor expansion of k in k 10.066 * [backup-simplify]: Simplify 0 into 0 10.066 * [backup-simplify]: Simplify 1 into 1 10.067 * [backup-simplify]: Simplify (/ 1 1) into 1 10.067 * [backup-simplify]: Simplify (sqrt 0) into 0 10.068 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.068 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 2) in k 10.068 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 10.068 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 10.069 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 10.069 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 10.069 * [taylor]: Taking taylor expansion of 0.25 in k 10.069 * [backup-simplify]: Simplify 0.25 into 0.25 10.069 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 10.069 * [taylor]: Taking taylor expansion of 1.0 in k 10.069 * [backup-simplify]: Simplify 1.0 into 1.0 10.069 * [taylor]: Taking taylor expansion of k in k 10.069 * [backup-simplify]: Simplify 0 into 0 10.069 * [backup-simplify]: Simplify 1 into 1 10.069 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 10.069 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 10.069 * [taylor]: Taking taylor expansion of 2.0 in k 10.069 * [backup-simplify]: Simplify 2.0 into 2.0 10.069 * [taylor]: Taking taylor expansion of (* n PI) in k 10.069 * [taylor]: Taking taylor expansion of n in k 10.069 * [backup-simplify]: Simplify n into n 10.069 * [taylor]: Taking taylor expansion of PI in k 10.069 * [backup-simplify]: Simplify PI into PI 10.069 * [backup-simplify]: Simplify (* n PI) into (* n PI) 10.069 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 10.069 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 10.070 * [backup-simplify]: Simplify (- 0) into 0 10.070 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.071 * [backup-simplify]: Simplify (* 0.25 1.0) into 0.25 10.071 * [backup-simplify]: Simplify (* 0.25 (log (* 2.0 (* n PI)))) into (* 0.25 (log (* 2.0 (* n PI)))) 10.071 * [backup-simplify]: Simplify (exp (* 0.25 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.25) 10.071 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 2))) in k 10.071 * [taylor]: Taking taylor expansion of 1.0 in k 10.071 * [backup-simplify]: Simplify 1.0 into 1.0 10.071 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 2)) in k 10.071 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 10.071 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.071 * [taylor]: Taking taylor expansion of k in k 10.071 * [backup-simplify]: Simplify 0 into 0 10.071 * [backup-simplify]: Simplify 1 into 1 10.072 * [backup-simplify]: Simplify (/ 1 1) into 1 10.072 * [backup-simplify]: Simplify (sqrt 0) into 0 10.073 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.073 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 2) in k 10.073 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 10.073 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 10.074 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 10.074 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 10.074 * [taylor]: Taking taylor expansion of 0.25 in k 10.074 * [backup-simplify]: Simplify 0.25 into 0.25 10.074 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 10.074 * [taylor]: Taking taylor expansion of 1.0 in k 10.074 * [backup-simplify]: Simplify 1.0 into 1.0 10.074 * [taylor]: Taking taylor expansion of k in k 10.074 * [backup-simplify]: Simplify 0 into 0 10.074 * [backup-simplify]: Simplify 1 into 1 10.074 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 10.074 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 10.074 * [taylor]: Taking taylor expansion of 2.0 in k 10.074 * [backup-simplify]: Simplify 2.0 into 2.0 10.074 * [taylor]: Taking taylor expansion of (* n PI) in k 10.074 * [taylor]: Taking taylor expansion of n in k 10.074 * [backup-simplify]: Simplify n into n 10.074 * [taylor]: Taking taylor expansion of PI in k 10.074 * [backup-simplify]: Simplify PI into PI 10.074 * [backup-simplify]: Simplify (* n PI) into (* n PI) 10.074 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 10.074 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 10.075 * [backup-simplify]: Simplify (- 0) into 0 10.075 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.075 * [backup-simplify]: Simplify (* 0.25 1.0) into 0.25 10.076 * [backup-simplify]: Simplify (* 0.25 (log (* 2.0 (* n PI)))) into (* 0.25 (log (* 2.0 (* n PI)))) 10.076 * [backup-simplify]: Simplify (exp (* 0.25 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.25) 10.076 * [backup-simplify]: Simplify (* (pow (* 2.0 (* n PI)) 0.25) (pow (* 2.0 (* n PI)) 0.25)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) 10.077 * [backup-simplify]: Simplify (* 0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) into 0 10.077 * [backup-simplify]: Simplify (* 1.0 0) into 0 10.077 * [taylor]: Taking taylor expansion of 0 in n 10.077 * [backup-simplify]: Simplify 0 into 0 10.077 * [backup-simplify]: Simplify 0 into 0 10.078 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 10.078 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (* n PI))) into 0 10.079 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 1) into 0 10.079 * [backup-simplify]: Simplify (- 1) into -1 10.079 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.080 * [backup-simplify]: Simplify (+ (* 0.25 -1) (* 0 1.0)) into (- 0.25) 10.081 * [backup-simplify]: Simplify (+ (* 0.25 0) (* (- 0.25) (log (* 2.0 (* n PI))))) into (- (* 0.25 (log (* 2.0 (* n PI))))) 10.081 * [backup-simplify]: Simplify (* (exp (* 0.25 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.25 (log (* 2.0 (* n PI))))) 1) 1)))) into (* -0.25 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25))) 10.083 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 (* n PI)) 0.25) (* -0.25 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25)))) (* (* -0.25 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25))) (pow (* 2.0 (* n PI)) 0.25))) into (- (+ (* 0.25 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))) 10.086 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 0.25 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.25 (* (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 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))) 10.087 * [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))) 10.087 * [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 10.087 * [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 10.087 * [taylor]: Taking taylor expansion of +nan.0 in n 10.087 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.087 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 10.087 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 10.087 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 10.087 * [taylor]: Taking taylor expansion of 0.5 in n 10.087 * [backup-simplify]: Simplify 0.5 into 0.5 10.087 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 10.087 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 10.087 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 10.087 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 10.087 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 10.087 * [taylor]: Taking taylor expansion of 1.0 in n 10.087 * [backup-simplify]: Simplify 1.0 into 1.0 10.087 * [taylor]: Taking taylor expansion of (log PI) in n 10.087 * [taylor]: Taking taylor expansion of PI in n 10.087 * [backup-simplify]: Simplify PI into PI 10.088 * [backup-simplify]: Simplify (log PI) into (log PI) 10.088 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 10.089 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 10.089 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 10.089 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 10.089 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 10.089 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 10.089 * [taylor]: Taking taylor expansion of 1.0 in n 10.089 * [backup-simplify]: Simplify 1.0 into 1.0 10.089 * [taylor]: Taking taylor expansion of (log n) in n 10.089 * [taylor]: Taking taylor expansion of n in n 10.089 * [backup-simplify]: Simplify 0 into 0 10.089 * [backup-simplify]: Simplify 1 into 1 10.090 * [backup-simplify]: Simplify (log 1) into 0 10.090 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 10.090 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 10.090 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 10.090 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 10.090 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 10.090 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 10.090 * [taylor]: Taking taylor expansion of 1.0 in n 10.090 * [backup-simplify]: Simplify 1.0 into 1.0 10.090 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.090 * [taylor]: Taking taylor expansion of 2.0 in n 10.090 * [backup-simplify]: Simplify 2.0 into 2.0 10.090 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 10.091 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 10.092 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 10.092 * [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) 10.093 * [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) 10.094 * [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)) 10.095 * [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))) 10.095 * [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) 10.096 * [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)) 10.097 * [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))) 10.098 * [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))) 10.098 * [backup-simplify]: Simplify 0 into 0 10.099 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 10.099 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 10.100 * [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 10.101 * [backup-simplify]: Simplify (- 0) into 0 10.101 * [backup-simplify]: Simplify (+ 0 0) into 0 10.101 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 -1) (* 0 1.0))) into 0 10.102 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* (- 0.25) 0) (* 0 (log (* 2.0 (* n PI)))))) into 0 10.103 * [backup-simplify]: Simplify (* (exp (* 0.25 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.25 (log (* 2.0 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.03125 (* (pow (log (* 2.0 (* n PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25))) 10.107 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 (* n PI)) 0.25) (* 0.03125 (* (pow (log (* 2.0 (* n PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25)))) (+ (* (* -0.25 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25))) (* -0.25 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25)))) (* (* 0.03125 (* (pow (log (* 2.0 (* n PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25))) (pow (* 2.0 (* n PI)) 0.25)))) into (+ (* 0.09375 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) (* 0.03125 (* (pow (log (* 2.0 (* n PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) 10.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.109 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.116 * [backup-simplify]: Simplify (+ (* 0 (+ (* 0.09375 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) (* 0.03125 (* (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 (- (+ (* 0.25 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.25 (* (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 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 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) 10.121 * [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)))))))) 10.121 * [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 10.121 * [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 10.121 * [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 10.121 * [taylor]: Taking taylor expansion of +nan.0 in n 10.121 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.121 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 10.121 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 10.121 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 10.121 * [taylor]: Taking taylor expansion of 0.5 in n 10.121 * [backup-simplify]: Simplify 0.5 into 0.5 10.121 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 10.121 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 10.121 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 10.121 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 10.121 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 10.121 * [taylor]: Taking taylor expansion of 1.0 in n 10.121 * [backup-simplify]: Simplify 1.0 into 1.0 10.121 * [taylor]: Taking taylor expansion of (log PI) in n 10.121 * [taylor]: Taking taylor expansion of PI in n 10.122 * [backup-simplify]: Simplify PI into PI 10.122 * [backup-simplify]: Simplify (log PI) into (log PI) 10.123 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 10.125 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 10.125 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 10.125 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 10.125 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 10.125 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 10.125 * [taylor]: Taking taylor expansion of 1.0 in n 10.125 * [backup-simplify]: Simplify 1.0 into 1.0 10.125 * [taylor]: Taking taylor expansion of (log n) in n 10.125 * [taylor]: Taking taylor expansion of n in n 10.125 * [backup-simplify]: Simplify 0 into 0 10.125 * [backup-simplify]: Simplify 1 into 1 10.125 * [backup-simplify]: Simplify (log 1) into 0 10.126 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 10.126 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 10.126 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 10.126 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 10.126 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 10.126 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 10.126 * [taylor]: Taking taylor expansion of 1.0 in n 10.126 * [backup-simplify]: Simplify 1.0 into 1.0 10.126 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.126 * [taylor]: Taking taylor expansion of 2.0 in n 10.126 * [backup-simplify]: Simplify 2.0 into 2.0 10.127 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 10.127 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 10.129 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 10.130 * [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) 10.131 * [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) 10.132 * [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)) 10.133 * [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))) 10.135 * [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) 10.135 * [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 10.135 * [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 10.135 * [taylor]: Taking taylor expansion of +nan.0 in n 10.135 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.135 * [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 10.135 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 10.135 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 10.135 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 10.135 * [taylor]: Taking taylor expansion of 0.5 in n 10.135 * [backup-simplify]: Simplify 0.5 into 0.5 10.135 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 10.135 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 10.135 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 10.135 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 10.135 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 10.135 * [taylor]: Taking taylor expansion of 1.0 in n 10.135 * [backup-simplify]: Simplify 1.0 into 1.0 10.135 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.135 * [taylor]: Taking taylor expansion of 2.0 in n 10.136 * [backup-simplify]: Simplify 2.0 into 2.0 10.136 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 10.137 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 10.138 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 10.138 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 10.138 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 10.138 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 10.138 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 10.138 * [taylor]: Taking taylor expansion of 1.0 in n 10.138 * [backup-simplify]: Simplify 1.0 into 1.0 10.139 * [taylor]: Taking taylor expansion of (log PI) in n 10.139 * [taylor]: Taking taylor expansion of PI in n 10.139 * [backup-simplify]: Simplify PI into PI 10.139 * [backup-simplify]: Simplify (log PI) into (log PI) 10.140 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 10.142 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 10.142 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 10.142 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 10.142 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 10.142 * [taylor]: Taking taylor expansion of 1.0 in n 10.142 * [backup-simplify]: Simplify 1.0 into 1.0 10.142 * [taylor]: Taking taylor expansion of (log n) in n 10.142 * [taylor]: Taking taylor expansion of n in n 10.142 * [backup-simplify]: Simplify 0 into 0 10.142 * [backup-simplify]: Simplify 1 into 1 10.142 * [backup-simplify]: Simplify (log 1) into 0 10.143 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 10.143 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 10.143 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 10.144 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 10.145 * [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) 10.146 * [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)) 10.148 * [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))) 10.149 * [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) 10.149 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 10.149 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 10.149 * [taylor]: Taking taylor expansion of 2.0 in n 10.149 * [backup-simplify]: Simplify 2.0 into 2.0 10.149 * [taylor]: Taking taylor expansion of (* n PI) in n 10.149 * [taylor]: Taking taylor expansion of n in n 10.149 * [backup-simplify]: Simplify 0 into 0 10.149 * [backup-simplify]: Simplify 1 into 1 10.149 * [taylor]: Taking taylor expansion of PI in n 10.149 * [backup-simplify]: Simplify PI into PI 10.149 * [backup-simplify]: Simplify (* 0 PI) into 0 10.149 * [backup-simplify]: Simplify (* 2.0 0) into 0 10.150 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 10.151 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 10.152 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 10.153 * [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)) 10.154 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 10.156 * [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)) 10.158 * [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))) 10.159 * [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)))))) 10.163 * [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)))))))) 10.166 * [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)))))))) 10.177 * [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)))))))) 10.178 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 10.179 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 10.179 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 10.180 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.181 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 10.181 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 10.181 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 10.182 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 10.183 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 10.183 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 10.184 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 10.186 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0 10.188 * [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 10.190 * [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 10.192 * [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 10.194 * [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 10.194 * [backup-simplify]: Simplify (- 0) into 0 10.194 * [backup-simplify]: Simplify 0 into 0 10.194 * [backup-simplify]: Simplify 0 into 0 10.195 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 10.196 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 10.199 * [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 10.200 * [backup-simplify]: Simplify (- 0) into 0 10.200 * [backup-simplify]: Simplify (+ 0 0) into 0 10.202 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 10.203 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* (- 0.25) 0) (+ (* 0 0) (* 0 (log (* 2.0 (* n PI))))))) into 0 10.205 * [backup-simplify]: Simplify (* (exp (* 0.25 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.25 (log (* 2.0 (* n PI))))) 3) 6)) (* (/ (pow (- (* 0.25 (log (* 2.0 (* n PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.0026041666666666665 (* (pow (log (* 2.0 (* n PI))) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25))) 10.214 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 (* n PI)) 0.25) (* -0.0026041666666666665 (* (pow (log (* 2.0 (* n PI))) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25)))) (+ (* (* -0.25 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25))) (* 0.03125 (* (pow (log (* 2.0 (* n PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25)))) (+ (* (* 0.03125 (* (pow (log (* 2.0 (* n PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25))) (* -0.25 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25)))) (* (* -0.0026041666666666665 (* (pow (log (* 2.0 (* n PI))) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25))) (pow (* 2.0 (* n PI)) 0.25))))) into (- (+ (* 0.0026041666666666665 (* (pow (log (* 2.0 (* n PI))) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.018229166666666664 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 3))))) 10.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.217 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.224 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 0.0026041666666666665 (* (pow (log (* 2.0 (* n PI))) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.018229166666666664 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 3)))))) (+ (* +nan.0 (+ (* 0.09375 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) (* 0.03125 (* (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 (- (+ (* 0.25 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.25 (* (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 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 (* (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)))))))) 10.231 * [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)))))))) 10.231 * [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 10.231 * [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 10.231 * [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 10.231 * [taylor]: Taking taylor expansion of +nan.0 in n 10.231 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.231 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 10.231 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 10.231 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 10.231 * [taylor]: Taking taylor expansion of 0.5 in n 10.231 * [backup-simplify]: Simplify 0.5 into 0.5 10.231 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 10.231 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 10.231 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 10.231 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 10.231 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 10.231 * [taylor]: Taking taylor expansion of 1.0 in n 10.231 * [backup-simplify]: Simplify 1.0 into 1.0 10.231 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.231 * [taylor]: Taking taylor expansion of 2.0 in n 10.231 * [backup-simplify]: Simplify 2.0 into 2.0 10.232 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 10.232 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 10.233 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 10.233 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 10.233 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 10.233 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 10.233 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 10.233 * [taylor]: Taking taylor expansion of 1.0 in n 10.233 * [backup-simplify]: Simplify 1.0 into 1.0 10.233 * [taylor]: Taking taylor expansion of (log n) in n 10.233 * [taylor]: Taking taylor expansion of n in n 10.233 * [backup-simplify]: Simplify 0 into 0 10.233 * [backup-simplify]: Simplify 1 into 1 10.234 * [backup-simplify]: Simplify (log 1) into 0 10.234 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 10.234 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 10.234 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 10.234 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 10.234 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 10.234 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 10.234 * [taylor]: Taking taylor expansion of 1.0 in n 10.234 * [backup-simplify]: Simplify 1.0 into 1.0 10.234 * [taylor]: Taking taylor expansion of (log PI) in n 10.234 * [taylor]: Taking taylor expansion of PI in n 10.234 * [backup-simplify]: Simplify PI into PI 10.234 * [backup-simplify]: Simplify (log PI) into (log PI) 10.235 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 10.236 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 10.236 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 10.237 * [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) 10.238 * [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)) 10.239 * [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))) 10.240 * [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) 10.240 * [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 10.240 * [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 10.240 * [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 10.240 * [taylor]: Taking taylor expansion of +nan.0 in n 10.240 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.240 * [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 10.240 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 10.240 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 10.240 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 10.240 * [taylor]: Taking taylor expansion of 0.5 in n 10.240 * [backup-simplify]: Simplify 0.5 into 0.5 10.240 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 10.240 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 10.240 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 10.240 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 10.240 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 10.240 * [taylor]: Taking taylor expansion of 1.0 in n 10.240 * [backup-simplify]: Simplify 1.0 into 1.0 10.240 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.240 * [taylor]: Taking taylor expansion of 2.0 in n 10.240 * [backup-simplify]: Simplify 2.0 into 2.0 10.240 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 10.241 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 10.242 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 10.242 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 10.242 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 10.242 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 10.242 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 10.242 * [taylor]: Taking taylor expansion of 1.0 in n 10.242 * [backup-simplify]: Simplify 1.0 into 1.0 10.242 * [taylor]: Taking taylor expansion of (log PI) in n 10.242 * [taylor]: Taking taylor expansion of PI in n 10.242 * [backup-simplify]: Simplify PI into PI 10.242 * [backup-simplify]: Simplify (log PI) into (log PI) 10.243 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 10.244 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 10.244 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 10.244 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 10.244 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 10.244 * [taylor]: Taking taylor expansion of 1.0 in n 10.244 * [backup-simplify]: Simplify 1.0 into 1.0 10.244 * [taylor]: Taking taylor expansion of (log n) in n 10.244 * [taylor]: Taking taylor expansion of n in n 10.244 * [backup-simplify]: Simplify 0 into 0 10.244 * [backup-simplify]: Simplify 1 into 1 10.244 * [backup-simplify]: Simplify (log 1) into 0 10.245 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 10.245 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 10.245 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 10.245 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 10.247 * [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) 10.248 * [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)) 10.249 * [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))) 10.251 * [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) 10.251 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 10.251 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 10.251 * [taylor]: Taking taylor expansion of 2.0 in n 10.251 * [backup-simplify]: Simplify 2.0 into 2.0 10.251 * [taylor]: Taking taylor expansion of (* n PI) in n 10.251 * [taylor]: Taking taylor expansion of n in n 10.251 * [backup-simplify]: Simplify 0 into 0 10.251 * [backup-simplify]: Simplify 1 into 1 10.251 * [taylor]: Taking taylor expansion of PI in n 10.251 * [backup-simplify]: Simplify PI into PI 10.251 * [backup-simplify]: Simplify (* 0 PI) into 0 10.252 * [backup-simplify]: Simplify (* 2.0 0) into 0 10.253 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 10.255 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 10.256 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 10.256 * [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 10.256 * [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 10.256 * [taylor]: Taking taylor expansion of +nan.0 in n 10.256 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.256 * [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 10.256 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 10.256 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 10.256 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 10.256 * [taylor]: Taking taylor expansion of 0.5 in n 10.256 * [backup-simplify]: Simplify 0.5 into 0.5 10.256 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 10.256 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 10.257 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 10.257 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 10.257 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 10.257 * [taylor]: Taking taylor expansion of 1.0 in n 10.257 * [backup-simplify]: Simplify 1.0 into 1.0 10.257 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.257 * [taylor]: Taking taylor expansion of 2.0 in n 10.257 * [backup-simplify]: Simplify 2.0 into 2.0 10.257 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 10.258 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 10.259 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 10.259 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 10.260 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 10.260 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 10.260 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 10.260 * [taylor]: Taking taylor expansion of 1.0 in n 10.260 * [backup-simplify]: Simplify 1.0 into 1.0 10.260 * [taylor]: Taking taylor expansion of (log PI) in n 10.260 * [taylor]: Taking taylor expansion of PI in n 10.260 * [backup-simplify]: Simplify PI into PI 10.260 * [backup-simplify]: Simplify (log PI) into (log PI) 10.261 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 10.263 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 10.263 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 10.263 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 10.263 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 10.263 * [taylor]: Taking taylor expansion of 1.0 in n 10.263 * [backup-simplify]: Simplify 1.0 into 1.0 10.263 * [taylor]: Taking taylor expansion of (log n) in n 10.263 * [taylor]: Taking taylor expansion of n in n 10.263 * [backup-simplify]: Simplify 0 into 0 10.263 * [backup-simplify]: Simplify 1 into 1 10.263 * [backup-simplify]: Simplify (log 1) into 0 10.264 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 10.264 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 10.264 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 10.265 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 10.266 * [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) 10.267 * [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)) 10.269 * [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))) 10.270 * [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) 10.270 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 10.271 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 10.271 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 10.271 * [taylor]: Taking taylor expansion of 2.0 in n 10.271 * [backup-simplify]: Simplify 2.0 into 2.0 10.271 * [taylor]: Taking taylor expansion of (* n PI) in n 10.271 * [taylor]: Taking taylor expansion of n in n 10.271 * [backup-simplify]: Simplify 0 into 0 10.271 * [backup-simplify]: Simplify 1 into 1 10.271 * [taylor]: Taking taylor expansion of PI in n 10.271 * [backup-simplify]: Simplify PI into PI 10.271 * [backup-simplify]: Simplify (* 0 PI) into 0 10.272 * [backup-simplify]: Simplify (* 2.0 0) into 0 10.273 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 10.275 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 10.276 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 10.277 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 10.279 * [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)) 10.281 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 10.283 * [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)) 10.286 * [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))) 10.287 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 10.289 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 10.291 * [backup-simplify]: Simplify (* (+ (log (* 2.0 PI)) (log n)) (+ (log (* 2.0 PI)) (log n))) into (pow (+ (log (* 2.0 PI)) (log n)) 2) 10.294 * [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)) 10.304 * [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))) 10.307 * [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)))))))) 10.320 * [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)))))))))))) 10.336 * [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)))))))))))) 10.353 * [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)))))))))))))) 10.372 * [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)))))))))))))) 10.389 * [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)))))))))))))) 10.416 * [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)))))))))))))))))))))) 10.418 * [backup-simplify]: Simplify (* (* (/ 1.0 (sqrt (/ 1 k))) (pow (* (* 2.0 PI) (/ 1 n)) (/ (/ (- 1.0 (/ 1 k)) 2.0) 2))) (pow (* (* 2.0 PI) (/ 1 n)) (/ (/ (- 1.0 (/ 1 k)) 2.0) 2))) into (* 1.0 (* (sqrt k) (pow (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) 2))) 10.418 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) 2))) in (k n) around 0 10.418 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) 2))) in n 10.418 * [taylor]: Taking taylor expansion of 1.0 in n 10.418 * [backup-simplify]: Simplify 1.0 into 1.0 10.418 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) 2)) in n 10.418 * [taylor]: Taking taylor expansion of (sqrt k) in n 10.418 * [taylor]: Taking taylor expansion of k in n 10.418 * [backup-simplify]: Simplify k into k 10.418 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 10.419 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 10.419 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) 2) in n 10.419 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 10.419 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 10.419 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 10.419 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 10.419 * [taylor]: Taking taylor expansion of 0.25 in n 10.419 * [backup-simplify]: Simplify 0.25 into 0.25 10.419 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 10.419 * [taylor]: Taking taylor expansion of 1.0 in n 10.419 * [backup-simplify]: Simplify 1.0 into 1.0 10.419 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.419 * [taylor]: Taking taylor expansion of k in n 10.419 * [backup-simplify]: Simplify k into k 10.419 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 10.419 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 10.419 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 10.419 * [taylor]: Taking taylor expansion of 2.0 in n 10.419 * [backup-simplify]: Simplify 2.0 into 2.0 10.419 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.419 * [taylor]: Taking taylor expansion of PI in n 10.419 * [backup-simplify]: Simplify PI into PI 10.419 * [taylor]: Taking taylor expansion of n in n 10.419 * [backup-simplify]: Simplify 0 into 0 10.419 * [backup-simplify]: Simplify 1 into 1 10.420 * [backup-simplify]: Simplify (/ PI 1) into PI 10.420 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 10.421 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 10.422 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 10.422 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 10.422 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 10.423 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 10.425 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 10.426 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 10.426 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) 2))) in k 10.426 * [taylor]: Taking taylor expansion of 1.0 in k 10.426 * [backup-simplify]: Simplify 1.0 into 1.0 10.426 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) 2)) in k 10.426 * [taylor]: Taking taylor expansion of (sqrt k) in k 10.426 * [taylor]: Taking taylor expansion of k in k 10.426 * [backup-simplify]: Simplify 0 into 0 10.426 * [backup-simplify]: Simplify 1 into 1 10.427 * [backup-simplify]: Simplify (sqrt 0) into 0 10.428 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.428 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) 2) in k 10.428 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 10.428 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 10.428 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 10.428 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 10.428 * [taylor]: Taking taylor expansion of 0.25 in k 10.428 * [backup-simplify]: Simplify 0.25 into 0.25 10.428 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 10.428 * [taylor]: Taking taylor expansion of 1.0 in k 10.429 * [backup-simplify]: Simplify 1.0 into 1.0 10.429 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.429 * [taylor]: Taking taylor expansion of k in k 10.429 * [backup-simplify]: Simplify 0 into 0 10.429 * [backup-simplify]: Simplify 1 into 1 10.429 * [backup-simplify]: Simplify (/ 1 1) into 1 10.429 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 10.429 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 10.429 * [taylor]: Taking taylor expansion of 2.0 in k 10.429 * [backup-simplify]: Simplify 2.0 into 2.0 10.429 * [taylor]: Taking taylor expansion of (/ PI n) in k 10.429 * [taylor]: Taking taylor expansion of PI in k 10.429 * [backup-simplify]: Simplify PI into PI 10.429 * [taylor]: Taking taylor expansion of n in k 10.429 * [backup-simplify]: Simplify n into n 10.430 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 10.430 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 10.430 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 10.430 * [backup-simplify]: Simplify (- 1) into -1 10.431 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.431 * [backup-simplify]: Simplify (* 0.25 -1) into -0.25 10.431 * [backup-simplify]: Simplify (* -0.25 (log (* 2.0 (/ PI n)))) into (* -0.25 (log (* 2.0 (/ PI n)))) 10.431 * [backup-simplify]: Simplify (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 10.431 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) 2))) in k 10.432 * [taylor]: Taking taylor expansion of 1.0 in k 10.432 * [backup-simplify]: Simplify 1.0 into 1.0 10.432 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) 2)) in k 10.432 * [taylor]: Taking taylor expansion of (sqrt k) in k 10.432 * [taylor]: Taking taylor expansion of k in k 10.432 * [backup-simplify]: Simplify 0 into 0 10.432 * [backup-simplify]: Simplify 1 into 1 10.432 * [backup-simplify]: Simplify (sqrt 0) into 0 10.433 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.433 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) 2) in k 10.433 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 10.433 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 10.433 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 10.433 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 10.433 * [taylor]: Taking taylor expansion of 0.25 in k 10.433 * [backup-simplify]: Simplify 0.25 into 0.25 10.433 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 10.433 * [taylor]: Taking taylor expansion of 1.0 in k 10.433 * [backup-simplify]: Simplify 1.0 into 1.0 10.433 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.433 * [taylor]: Taking taylor expansion of k in k 10.433 * [backup-simplify]: Simplify 0 into 0 10.433 * [backup-simplify]: Simplify 1 into 1 10.433 * [backup-simplify]: Simplify (/ 1 1) into 1 10.433 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 10.433 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 10.434 * [taylor]: Taking taylor expansion of 2.0 in k 10.434 * [backup-simplify]: Simplify 2.0 into 2.0 10.434 * [taylor]: Taking taylor expansion of (/ PI n) in k 10.434 * [taylor]: Taking taylor expansion of PI in k 10.434 * [backup-simplify]: Simplify PI into PI 10.434 * [taylor]: Taking taylor expansion of n in k 10.434 * [backup-simplify]: Simplify n into n 10.434 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 10.434 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 10.434 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 10.434 * [backup-simplify]: Simplify (- 1) into -1 10.434 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.435 * [backup-simplify]: Simplify (* 0.25 -1) into -0.25 10.435 * [backup-simplify]: Simplify (* -0.25 (log (* 2.0 (/ PI n)))) into (* -0.25 (log (* 2.0 (/ PI n)))) 10.435 * [backup-simplify]: Simplify (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 10.435 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) into (pow (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 2) 10.435 * [backup-simplify]: Simplify (* 0 (pow (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 2)) into 0 10.436 * [backup-simplify]: Simplify (* 1.0 0) into 0 10.436 * [taylor]: Taking taylor expansion of 0 in n 10.436 * [backup-simplify]: Simplify 0 into 0 10.436 * [backup-simplify]: Simplify 0 into 0 10.436 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 0) (* 0 (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) into 0 10.437 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (pow (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 2))) into (- (* +nan.0 (pow (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 2))) 10.437 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (pow (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 2)))) (* 0 0)) into (- (* +nan.0 (pow (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 2))) 10.437 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 2))) in n 10.437 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 2)) in n 10.437 * [taylor]: Taking taylor expansion of +nan.0 in n 10.437 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.437 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 2) in n 10.437 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 10.437 * [taylor]: Taking taylor expansion of (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 10.437 * [taylor]: Taking taylor expansion of 0.25 in n 10.437 * [backup-simplify]: Simplify 0.25 into 0.25 10.437 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 10.437 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 10.437 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 10.438 * [taylor]: Taking taylor expansion of 2.0 in n 10.438 * [backup-simplify]: Simplify 2.0 into 2.0 10.438 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.438 * [taylor]: Taking taylor expansion of PI in n 10.438 * [backup-simplify]: Simplify PI into PI 10.438 * [taylor]: Taking taylor expansion of n in n 10.438 * [backup-simplify]: Simplify 0 into 0 10.438 * [backup-simplify]: Simplify 1 into 1 10.438 * [backup-simplify]: Simplify (/ PI 1) into PI 10.438 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 10.439 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 10.439 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 10.439 * [taylor]: Taking taylor expansion of 1.0 in n 10.439 * [backup-simplify]: Simplify 1.0 into 1.0 10.439 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.439 * [taylor]: Taking taylor expansion of k in n 10.439 * [backup-simplify]: Simplify k into k 10.439 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 10.440 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 10.440 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 10.440 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 10.441 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 10.441 * [backup-simplify]: Simplify (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) into (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 10.442 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 10.444 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (pow (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 2) 10.445 * [backup-simplify]: Simplify (* +nan.0 (pow (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 2)) into (* +nan.0 (pow (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 2)) 10.445 * [backup-simplify]: Simplify (- (* +nan.0 (pow (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 2))) into (- (* +nan.0 (pow (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 2))) 10.446 * [backup-simplify]: Simplify (- (* +nan.0 (pow (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 2))) into (- (* +nan.0 (pow (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 2))) 10.446 * [backup-simplify]: Simplify 0 into 0 10.447 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) into 0 10.454 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.454 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (pow (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 2)))) into (- (* +nan.0 (pow (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 2))) 10.455 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (pow (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 2)))) (+ (* 0 (- (* +nan.0 (pow (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 2)))) (* 0 0))) into (- (* +nan.0 (pow (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 2))) 10.455 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 2))) in n 10.455 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 2)) in n 10.455 * [taylor]: Taking taylor expansion of +nan.0 in n 10.456 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.456 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 2) in n 10.456 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 10.456 * [taylor]: Taking taylor expansion of (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 10.456 * [taylor]: Taking taylor expansion of 0.25 in n 10.456 * [backup-simplify]: Simplify 0.25 into 0.25 10.456 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 10.456 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 10.456 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 10.456 * [taylor]: Taking taylor expansion of 2.0 in n 10.456 * [backup-simplify]: Simplify 2.0 into 2.0 10.456 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.456 * [taylor]: Taking taylor expansion of PI in n 10.456 * [backup-simplify]: Simplify PI into PI 10.456 * [taylor]: Taking taylor expansion of n in n 10.456 * [backup-simplify]: Simplify 0 into 0 10.456 * [backup-simplify]: Simplify 1 into 1 10.456 * [backup-simplify]: Simplify (/ PI 1) into PI 10.456 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 10.457 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 10.457 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 10.457 * [taylor]: Taking taylor expansion of 1.0 in n 10.457 * [backup-simplify]: Simplify 1.0 into 1.0 10.457 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.457 * [taylor]: Taking taylor expansion of k in n 10.457 * [backup-simplify]: Simplify k into k 10.457 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 10.458 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 10.458 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 10.458 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 10.459 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 10.460 * [backup-simplify]: Simplify (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) into (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 10.461 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 10.463 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (pow (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 2) 10.465 * [backup-simplify]: Simplify (* +nan.0 (pow (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 2)) into (* +nan.0 (pow (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 2)) 10.466 * [backup-simplify]: Simplify (- (* +nan.0 (pow (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 2))) into (- (* +nan.0 (pow (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 2))) 10.468 * [backup-simplify]: Simplify (- (* +nan.0 (pow (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 2))) into (- (* +nan.0 (pow (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 2))) 10.469 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 10.470 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 10.470 * [backup-simplify]: Simplify (- 0) into 0 10.470 * [backup-simplify]: Simplify (+ 0 0) into 0 10.471 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 10.472 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 10.474 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 10.475 * [backup-simplify]: Simplify (+ (* (- (log (* 2.0 PI)) (log n)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 10.477 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into 0 10.479 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 10.482 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 0) (* 0 (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into 0 10.484 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (pow (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 2))) into 0 10.484 * [backup-simplify]: Simplify (- 0) into 0 10.484 * [backup-simplify]: Simplify 0 into 0 10.484 * [backup-simplify]: Simplify 0 into 0 10.486 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))))) into 0 10.489 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.490 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (pow (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 2))))) into (- (* +nan.0 (pow (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 2))) 10.491 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (pow (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 2)))) (+ (* 0 (- (* +nan.0 (pow (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 2)))) (+ (* 0 (- (* +nan.0 (pow (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 2)))) (* 0 0)))) into (- (* +nan.0 (pow (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 2))) 10.491 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 2))) in n 10.491 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 2)) in n 10.491 * [taylor]: Taking taylor expansion of +nan.0 in n 10.491 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.491 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 2) in n 10.491 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 10.491 * [taylor]: Taking taylor expansion of (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 10.492 * [taylor]: Taking taylor expansion of 0.25 in n 10.492 * [backup-simplify]: Simplify 0.25 into 0.25 10.492 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 10.492 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 10.492 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 10.492 * [taylor]: Taking taylor expansion of 2.0 in n 10.492 * [backup-simplify]: Simplify 2.0 into 2.0 10.492 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.492 * [taylor]: Taking taylor expansion of PI in n 10.492 * [backup-simplify]: Simplify PI into PI 10.492 * [taylor]: Taking taylor expansion of n in n 10.492 * [backup-simplify]: Simplify 0 into 0 10.492 * [backup-simplify]: Simplify 1 into 1 10.492 * [backup-simplify]: Simplify (/ PI 1) into PI 10.492 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 10.493 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 10.493 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 10.493 * [taylor]: Taking taylor expansion of 1.0 in n 10.493 * [backup-simplify]: Simplify 1.0 into 1.0 10.493 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.493 * [taylor]: Taking taylor expansion of k in n 10.493 * [backup-simplify]: Simplify k into k 10.493 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 10.494 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 10.494 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 10.494 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 10.495 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 10.496 * [backup-simplify]: Simplify (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) into (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 10.496 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 10.498 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (pow (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 2) 10.499 * [backup-simplify]: Simplify (* +nan.0 (pow (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 2)) into (* +nan.0 (pow (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 2)) 10.500 * [backup-simplify]: Simplify (- (* +nan.0 (pow (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 2))) into (- (* +nan.0 (pow (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 2))) 10.501 * [backup-simplify]: Simplify (- (* +nan.0 (pow (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 2))) into (- (* +nan.0 (pow (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 2))) 10.504 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (pow (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))) 2))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (pow (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))) 2))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (pow (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))) 2))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (pow (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) 2) (pow k 2))) (- (+ (* +nan.0 (/ (pow (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) 2) (pow k 3))) (- (* +nan.0 (/ (pow (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) 2) k))))))) 10.505 * [backup-simplify]: Simplify (* (* (/ 1.0 (sqrt (/ 1 (- k)))) (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (/ (- 1.0 (/ 1 (- k))) 2.0) 2))) (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (/ (- 1.0 (/ 1 (- k))) 2.0) 2))) into (* 1.0 (/ (pow (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) 2) (sqrt (/ -1 k)))) 10.505 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) 2) (sqrt (/ -1 k)))) in (k n) around 0 10.505 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) 2) (sqrt (/ -1 k)))) in n 10.505 * [taylor]: Taking taylor expansion of 1.0 in n 10.505 * [backup-simplify]: Simplify 1.0 into 1.0 10.505 * [taylor]: Taking taylor expansion of (/ (pow (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) 2) (sqrt (/ -1 k))) in n 10.505 * [taylor]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) 2) in n 10.505 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 10.505 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 10.505 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 10.505 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 10.505 * [taylor]: Taking taylor expansion of 0.25 in n 10.505 * [backup-simplify]: Simplify 0.25 into 0.25 10.505 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 10.505 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.505 * [taylor]: Taking taylor expansion of k in n 10.505 * [backup-simplify]: Simplify k into k 10.505 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 10.505 * [taylor]: Taking taylor expansion of 1.0 in n 10.505 * [backup-simplify]: Simplify 1.0 into 1.0 10.505 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 10.505 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 10.505 * [taylor]: Taking taylor expansion of -2.0 in n 10.505 * [backup-simplify]: Simplify -2.0 into -2.0 10.505 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.505 * [taylor]: Taking taylor expansion of PI in n 10.506 * [backup-simplify]: Simplify PI into PI 10.506 * [taylor]: Taking taylor expansion of n in n 10.506 * [backup-simplify]: Simplify 0 into 0 10.506 * [backup-simplify]: Simplify 1 into 1 10.506 * [backup-simplify]: Simplify (/ PI 1) into PI 10.506 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 10.507 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 10.507 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 10.507 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 10.508 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 10.509 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 10.509 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 10.509 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 10.509 * [taylor]: Taking taylor expansion of (/ -1 k) in n 10.509 * [taylor]: Taking taylor expansion of -1 in n 10.509 * [backup-simplify]: Simplify -1 into -1 10.509 * [taylor]: Taking taylor expansion of k in n 10.509 * [backup-simplify]: Simplify k into k 10.510 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 10.510 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 10.510 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 10.510 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 10.511 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (pow (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 2) 10.512 * [backup-simplify]: Simplify (/ (pow (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 2) (sqrt (/ -1 k))) into (/ (pow (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 2) (sqrt (/ -1 k))) 10.512 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) 2) (sqrt (/ -1 k)))) in k 10.512 * [taylor]: Taking taylor expansion of 1.0 in k 10.512 * [backup-simplify]: Simplify 1.0 into 1.0 10.512 * [taylor]: Taking taylor expansion of (/ (pow (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) 2) (sqrt (/ -1 k))) in k 10.512 * [taylor]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) 2) in k 10.512 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 10.512 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 10.512 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 10.512 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 10.512 * [taylor]: Taking taylor expansion of 0.25 in k 10.512 * [backup-simplify]: Simplify 0.25 into 0.25 10.512 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 10.512 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.512 * [taylor]: Taking taylor expansion of k in k 10.512 * [backup-simplify]: Simplify 0 into 0 10.512 * [backup-simplify]: Simplify 1 into 1 10.513 * [backup-simplify]: Simplify (/ 1 1) into 1 10.513 * [taylor]: Taking taylor expansion of 1.0 in k 10.513 * [backup-simplify]: Simplify 1.0 into 1.0 10.513 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 10.513 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 10.513 * [taylor]: Taking taylor expansion of -2.0 in k 10.513 * [backup-simplify]: Simplify -2.0 into -2.0 10.513 * [taylor]: Taking taylor expansion of (/ PI n) in k 10.513 * [taylor]: Taking taylor expansion of PI in k 10.513 * [backup-simplify]: Simplify PI into PI 10.513 * [taylor]: Taking taylor expansion of n in k 10.513 * [backup-simplify]: Simplify n into n 10.513 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 10.513 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 10.513 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 10.513 * [backup-simplify]: Simplify (+ 1 0) into 1 10.514 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 10.514 * [backup-simplify]: Simplify (* 0.25 (log (* -2.0 (/ PI n)))) into (* 0.25 (log (* -2.0 (/ PI n)))) 10.514 * [backup-simplify]: Simplify (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 10.514 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 10.514 * [taylor]: Taking taylor expansion of (/ -1 k) in k 10.514 * [taylor]: Taking taylor expansion of -1 in k 10.514 * [backup-simplify]: Simplify -1 into -1 10.514 * [taylor]: Taking taylor expansion of k in k 10.514 * [backup-simplify]: Simplify 0 into 0 10.514 * [backup-simplify]: Simplify 1 into 1 10.514 * [backup-simplify]: Simplify (/ -1 1) into -1 10.514 * [backup-simplify]: Simplify (sqrt 0) into 0 10.515 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 10.516 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) into (pow (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 2) 10.516 * [backup-simplify]: Simplify (/ (pow (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 2) +nan.0) into (* +nan.0 (pow (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 2)) 10.516 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) 2) (sqrt (/ -1 k)))) in k 10.516 * [taylor]: Taking taylor expansion of 1.0 in k 10.516 * [backup-simplify]: Simplify 1.0 into 1.0 10.516 * [taylor]: Taking taylor expansion of (/ (pow (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) 2) (sqrt (/ -1 k))) in k 10.516 * [taylor]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) 2) in k 10.516 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 10.516 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 10.516 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 10.516 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 10.516 * [taylor]: Taking taylor expansion of 0.25 in k 10.516 * [backup-simplify]: Simplify 0.25 into 0.25 10.516 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 10.516 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.516 * [taylor]: Taking taylor expansion of k in k 10.516 * [backup-simplify]: Simplify 0 into 0 10.516 * [backup-simplify]: Simplify 1 into 1 10.516 * [backup-simplify]: Simplify (/ 1 1) into 1 10.516 * [taylor]: Taking taylor expansion of 1.0 in k 10.516 * [backup-simplify]: Simplify 1.0 into 1.0 10.516 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 10.516 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 10.516 * [taylor]: Taking taylor expansion of -2.0 in k 10.517 * [backup-simplify]: Simplify -2.0 into -2.0 10.517 * [taylor]: Taking taylor expansion of (/ PI n) in k 10.517 * [taylor]: Taking taylor expansion of PI in k 10.517 * [backup-simplify]: Simplify PI into PI 10.517 * [taylor]: Taking taylor expansion of n in k 10.517 * [backup-simplify]: Simplify n into n 10.517 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 10.517 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 10.517 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 10.517 * [backup-simplify]: Simplify (+ 1 0) into 1 10.517 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 10.517 * [backup-simplify]: Simplify (* 0.25 (log (* -2.0 (/ PI n)))) into (* 0.25 (log (* -2.0 (/ PI n)))) 10.518 * [backup-simplify]: Simplify (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 10.518 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 10.518 * [taylor]: Taking taylor expansion of (/ -1 k) in k 10.518 * [taylor]: Taking taylor expansion of -1 in k 10.518 * [backup-simplify]: Simplify -1 into -1 10.518 * [taylor]: Taking taylor expansion of k in k 10.518 * [backup-simplify]: Simplify 0 into 0 10.518 * [backup-simplify]: Simplify 1 into 1 10.518 * [backup-simplify]: Simplify (/ -1 1) into -1 10.518 * [backup-simplify]: Simplify (sqrt 0) into 0 10.519 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 10.519 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) into (pow (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 2) 10.519 * [backup-simplify]: Simplify (/ (pow (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 2) +nan.0) into (* +nan.0 (pow (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 2)) 10.520 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (pow (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 2))) into (* +nan.0 (pow (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 2)) 10.520 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 2)) in n 10.520 * [taylor]: Taking taylor expansion of +nan.0 in n 10.520 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.520 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 2) in n 10.520 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 10.520 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 10.520 * [taylor]: Taking taylor expansion of 0.25 in n 10.520 * [backup-simplify]: Simplify 0.25 into 0.25 10.520 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 10.520 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 10.520 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.520 * [taylor]: Taking taylor expansion of k in n 10.520 * [backup-simplify]: Simplify k into k 10.520 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 10.520 * [taylor]: Taking taylor expansion of 1.0 in n 10.520 * [backup-simplify]: Simplify 1.0 into 1.0 10.520 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 10.520 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 10.520 * [taylor]: Taking taylor expansion of -2.0 in n 10.520 * [backup-simplify]: Simplify -2.0 into -2.0 10.520 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.520 * [taylor]: Taking taylor expansion of PI in n 10.520 * [backup-simplify]: Simplify PI into PI 10.520 * [taylor]: Taking taylor expansion of n in n 10.520 * [backup-simplify]: Simplify 0 into 0 10.520 * [backup-simplify]: Simplify 1 into 1 10.521 * [backup-simplify]: Simplify (/ PI 1) into PI 10.521 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 10.522 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 10.522 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 10.523 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 10.523 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 10.524 * [backup-simplify]: Simplify (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) into (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 10.525 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 10.526 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (pow (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 2) 10.527 * [backup-simplify]: Simplify (* +nan.0 (pow (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 2)) into (* +nan.0 (pow (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 2)) 10.528 * [backup-simplify]: Simplify (* +nan.0 (pow (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 2)) into (* +nan.0 (pow (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 2)) 10.528 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 0) (* 0 (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) into 0 10.529 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.532 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.533 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (pow (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 2)) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (pow (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 2))) 10.534 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (pow (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 2)))) (* 0 (* +nan.0 (pow (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 2)))) into (- (* +nan.0 (pow (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 2))) 10.534 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 2))) in n 10.534 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 2)) in n 10.534 * [taylor]: Taking taylor expansion of +nan.0 in n 10.534 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.534 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 2) in n 10.534 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 10.534 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 10.535 * [taylor]: Taking taylor expansion of 0.25 in n 10.535 * [backup-simplify]: Simplify 0.25 into 0.25 10.535 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 10.535 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 10.535 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.535 * [taylor]: Taking taylor expansion of k in n 10.535 * [backup-simplify]: Simplify k into k 10.535 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 10.535 * [taylor]: Taking taylor expansion of 1.0 in n 10.535 * [backup-simplify]: Simplify 1.0 into 1.0 10.535 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 10.535 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 10.535 * [taylor]: Taking taylor expansion of -2.0 in n 10.535 * [backup-simplify]: Simplify -2.0 into -2.0 10.535 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.535 * [taylor]: Taking taylor expansion of PI in n 10.535 * [backup-simplify]: Simplify PI into PI 10.535 * [taylor]: Taking taylor expansion of n in n 10.535 * [backup-simplify]: Simplify 0 into 0 10.535 * [backup-simplify]: Simplify 1 into 1 10.536 * [backup-simplify]: Simplify (/ PI 1) into PI 10.536 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 10.537 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 10.537 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 10.538 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 10.540 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 10.541 * [backup-simplify]: Simplify (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) into (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 10.542 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 10.544 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (pow (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 2) 10.546 * [backup-simplify]: Simplify (* +nan.0 (pow (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 2)) into (* +nan.0 (pow (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 2)) 10.547 * [backup-simplify]: Simplify (- (* +nan.0 (pow (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 2))) into (- (* +nan.0 (pow (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 2))) 10.548 * [backup-simplify]: Simplify (- (* +nan.0 (pow (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 2))) into (- (* +nan.0 (pow (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 2))) 10.549 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 10.550 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 10.552 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 10.552 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 10.552 * [backup-simplify]: Simplify (+ 0 0) into 0 10.554 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 10.555 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 10.556 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into 0 10.558 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 10.560 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 0) (* 0 (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into 0 10.562 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (pow (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 2))) into 0 10.562 * [backup-simplify]: Simplify 0 into 0 10.563 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 0) (+ (* 0 0) (* 0 (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) into 0 10.564 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.568 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.577 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (pow (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 2)) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (pow (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 2))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (pow (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 2))) 10.579 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (pow (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 2)))) (+ (* 0 (- (* +nan.0 (pow (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 2)))) (* 0 (* +nan.0 (pow (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 2))))) into (- (* +nan.0 (pow (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 2))) 10.579 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 2))) in n 10.579 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 2)) in n 10.579 * [taylor]: Taking taylor expansion of +nan.0 in n 10.579 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.579 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 2) in n 10.579 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 10.579 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 10.579 * [taylor]: Taking taylor expansion of 0.25 in n 10.579 * [backup-simplify]: Simplify 0.25 into 0.25 10.579 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 10.579 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 10.579 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.579 * [taylor]: Taking taylor expansion of k in n 10.579 * [backup-simplify]: Simplify k into k 10.579 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 10.579 * [taylor]: Taking taylor expansion of 1.0 in n 10.579 * [backup-simplify]: Simplify 1.0 into 1.0 10.579 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 10.579 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 10.579 * [taylor]: Taking taylor expansion of -2.0 in n 10.579 * [backup-simplify]: Simplify -2.0 into -2.0 10.579 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.579 * [taylor]: Taking taylor expansion of PI in n 10.579 * [backup-simplify]: Simplify PI into PI 10.579 * [taylor]: Taking taylor expansion of n in n 10.579 * [backup-simplify]: Simplify 0 into 0 10.579 * [backup-simplify]: Simplify 1 into 1 10.580 * [backup-simplify]: Simplify (/ PI 1) into PI 10.581 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 10.581 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 10.582 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 10.583 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 10.584 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 10.585 * [backup-simplify]: Simplify (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) into (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 10.586 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 10.588 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (pow (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 2) 10.590 * [backup-simplify]: Simplify (* +nan.0 (pow (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 2)) into (* +nan.0 (pow (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 2)) 10.591 * [backup-simplify]: Simplify (- (* +nan.0 (pow (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 2))) into (- (* +nan.0 (pow (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 2))) 10.592 * [backup-simplify]: Simplify (- (* +nan.0 (pow (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 2))) into (- (* +nan.0 (pow (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 2))) 10.597 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (pow (exp (* 0.25 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))) 2))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (pow (exp (* 0.25 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))) 2))) (* 1 (/ 1 (- k)))) (* +nan.0 (pow (exp (* 0.25 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))) 2)))) into (- (+ (* +nan.0 (pow (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 2)) (- (+ (* +nan.0 (/ (pow (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 2) k)) (- (* +nan.0 (/ (pow (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 2) (pow k 2)))))))) 10.597 * * * [progress]: simplifying candidates 10.602 * [simplify]: Simplifying: (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (+ (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2))) (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2))) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2))) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2))) (log (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2))) (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2))) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2))) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2))) (log (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2))) (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2))) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2))) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2))) (log (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2))) (+ (+ (- (log 1.0) (log 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1.0 k)))) 2) (pow k 3))) (- (* +nan.0 (/ (pow (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) 2) k))))))) (- (+ (* +nan.0 (pow (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 2)) (- (+ (* +nan.0 (/ (pow (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 2) k)) (- (* +nan.0 (/ (pow (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 2) (pow k 2)))))))) 10.612 * * [simplify]: Extracting # 0 : cost 0 10.612 * * [simplify]: Extracting # 1 : cost 0 10.613 * * [simplify]: Extracting # 2 : cost 0 10.613 * * [simplify]: Extracting # 3 : cost 0 10.614 * * [simplify]: Extracting # 4 : cost 0 10.614 * * [simplify]: Extracting # 5 : cost 0 10.615 * * [simplify]: Extracting # 6 : cost 0 10.616 * * [simplify]: Extracting # 7 : cost 0 10.617 * * [simplify]: Extracting # 8 : cost 0 10.617 * * [simplify]: Extracting # 9 : cost 0 10.618 * * [simplify]: Extracting # 10 : cost 0 10.619 * * [simplify]: Extracting # 11 : cost 0 10.620 * * [simplify]: Extracting # 12 : cost 0 10.620 * * [simplify]: Extracting # 13 : cost 0 10.621 * * [simplify]: Extracting # 14 : cost 0 10.622 * * [simplify]: Extracting # 15 : cost 0 10.623 * * [simplify]: Extracting # 16 : cost 0 10.624 * * [simplify]: Extracting # 17 : cost 0 10.625 * * [simplify]: Extracting # 18 : cost 0 10.625 * * [simplify]: Extracting # 19 : cost 0 10.626 * * [simplify]: Extracting # 20 : cost 0 10.627 * * [simplify]: Extracting # 21 : cost 0 10.628 * * [simplify]: Extracting # 22 : cost 0 10.629 * * [simplify]: Extracting # 23 : cost 0 10.630 * * [simplify]: Extracting # 24 : cost 0 10.631 * * [simplify]: Extracting # 25 : cost 0 10.631 * * [simplify]: Extracting # 26 : cost 0 10.632 * * [simplify]: Extracting # 27 : cost 0 10.633 * * [simplify]: Extracting # 28 : cost 0 10.634 * * [simplify]: Extracting # 29 : cost 0 10.635 * * [simplify]: Extracting # 30 : cost 0 10.636 * * [simplify]: iteration 0 : 337 enodes (cost 4193 ) 10.798 * * [simplify]: Extracting # 0 : cost 0 10.802 * * [simplify]: Extracting # 1 : cost 0 10.804 * * [simplify]: Extracting # 2 : cost 0 10.805 * * [simplify]: Extracting # 3 : cost 0 10.806 * * [simplify]: Extracting # 4 : cost 0 10.808 * * [simplify]: Extracting # 5 : cost 0 10.809 * * [simplify]: Extracting # 6 : cost 0 10.810 * * [simplify]: Extracting # 7 : cost 0 10.811 * * [simplify]: iteration 1 : 934 enodes (cost 3027 ) 11.509 * * [simplify]: Extracting # 0 : cost 0 11.529 * * [simplify]: Extracting # 1 : cost 0 11.545 * * [simplify]: Extracting # 2 : cost 0 11.557 * * [simplify]: Extracting # 3 : cost 0 11.568 * * [simplify]: Extracting # 4 : cost 0 11.579 * * [simplify]: iteration 2 : 4690 enodes (cost 2769 ) 13.632 * * [simplify]: Extracting # 0 : cost 0 13.639 * * [simplify]: Extracting # 1 : cost 0 13.648 * * [simplify]: Extracting # 2 : cost 0 13.655 * * [simplify]: Extracting # 3 : cost 0 13.666 * * [simplify]: iteration done: 5000 enodes (cost 2763 ) 13.669 * [simplify]: Simplified to: (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (pow 1.0 3) (* (sqrt k) k)) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt k))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (log (* 2.0 (* n PI))) (log (* 2.0 (* n PI))) (log (* 2.0 (* n PI))) (exp (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (pow (* 2.0 (* n PI)) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 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) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (log (* 2.0 (* n PI))) (log (* 2.0 (* n PI))) (log (* 2.0 (* n PI))) (exp (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (pow (* 2.0 (* n PI)) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* n PI) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 (* n PI)) (* 2 (/ (/ (- 1.0 k) 2.0) 2))))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 (* n PI)) (* 2 (/ (/ (- 1.0 k) 2.0) 2))))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 (* n PI)) (* 2 (/ (/ (- 1.0 k) 2.0) 2))))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 (* n PI)) (* 2 (/ (/ (- 1.0 k) 2.0) 2))))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 (* n PI)) (* 2 (/ (/ (- 1.0 k) 2.0) 2))))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 (* n PI)) (* 2 (/ (/ (- 1.0 k) 2.0) 2))))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 (* n PI)) (* 2 (/ (/ (- 1.0 k) 2.0) 2))))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 (* n PI)) (* 2 (/ (/ (- 1.0 k) 2.0) 2))))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 (* n PI)) (* 2 (/ (/ (- 1.0 k) 2.0) 2))))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 (* n PI)) (* 2 (/ (/ (- 1.0 k) 2.0) 2))))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 (* n PI)) (* 2 (/ (/ (- 1.0 k) 2.0) 2))))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 (* n PI)) (* 2 (/ (/ (- 1.0 k) 2.0) 2))))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 (* n PI)) (* 2 (/ (/ (- 1.0 k) 2.0) 2))))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 (* n PI)) (* 2 (/ (/ (- 1.0 k) 2.0) 2))))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 (* n PI)) (* 2 (/ (/ (- 1.0 k) 2.0) 2))))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 (* n PI)) (* 2 (/ (/ (- 1.0 k) 2.0) 2))))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 (* n PI)) (* 2 (/ (/ (- 1.0 k) 2.0) 2))))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 (* n PI)) (* 2 (/ (/ (- 1.0 k) 2.0) 2))))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 (* n PI)) (* 2 (/ (/ (- 1.0 k) 2.0) 2))))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 (* n PI)) (* 2 (/ (/ (- 1.0 k) 2.0) 2))))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 (* n PI)) (* 2 (/ (/ (- 1.0 k) 2.0) 2))))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 (* n PI)) (* 2 (/ (/ (- 1.0 k) 2.0) 2))))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 (* n PI)) (* 2 (/ (/ (- 1.0 k) 2.0) 2))))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 (* n PI)) (* 2 (/ (/ (- 1.0 k) 2.0) 2))))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 (* n PI)) (* 2 (/ (/ (- 1.0 k) 2.0) 2))))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 (* n PI)) (* 2 (/ (/ (- 1.0 k) 2.0) 2))))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 (* n PI)) (* 2 (/ (/ (- 1.0 k) 2.0) 2))))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 (* n PI)) (* 2 (/ (/ (- 1.0 k) 2.0) 2))))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 (* n PI)) (* 2 (/ (/ (- 1.0 k) 2.0) 2))))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 (* n PI)) (* 2 (/ (/ (- 1.0 k) 2.0) 2))))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 (* n PI)) (* 2 (/ (/ (- 1.0 k) 2.0) 2))))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 (* n PI)) (* 2 (/ (/ (- 1.0 k) 2.0) 2))))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 (* n PI)) (* 2 (/ (/ (- 1.0 k) 2.0) 2))))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 (* n PI)) (* 2 (/ (/ (- 1.0 k) 2.0) 2))))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 (* n PI)) (* 2 (/ (/ (- 1.0 k) 2.0) 2))))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 (* n PI)) (* 2 (/ (/ (- 1.0 k) 2.0) 2))))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 (* n PI)) (* 2 (/ (/ (- 1.0 k) 2.0) 2))))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 (* n PI)) (* 2 (/ (/ (- 1.0 k) 2.0) 2))))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 (* n PI)) (* 2 (/ (/ (- 1.0 k) 2.0) 2))))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 (* n PI)) (* 2 (/ (/ (- 1.0 k) 2.0) 2))))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 (* n PI)) (* 2 (/ (/ (- 1.0 k) 2.0) 2))))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 (* n PI)) (* 2 (/ (/ (- 1.0 k) 2.0) 2))))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 (* n PI)) (* 2 (/ (/ (- 1.0 k) 2.0) 2))))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 (* n PI)) (* 2 (/ (/ (- 1.0 k) 2.0) 2))))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 (* n PI)) (* 2 (/ (/ (- 1.0 k) 2.0) 2))))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 (* n PI)) (* 2 (/ (/ (- 1.0 k) 2.0) 2))))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 (* n PI)) (* 2 (/ (/ (- 1.0 k) 2.0) 2))))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 (* n PI)) (* 2 (/ (/ (- 1.0 k) 2.0) 2))))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 (* n PI)) (* 2 (/ (/ (- 1.0 k) 2.0) 2))))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 (* n PI)) (* 2 (/ (/ (- 1.0 k) 2.0) 2))))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 (* n PI)) (* 2 (/ (/ (- 1.0 k) 2.0) 2))))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 (* n PI)) (* 2 (/ (/ (- 1.0 k) 2.0) 2))))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 (* n PI)) (* 2 (/ (/ (- 1.0 k) 2.0) 2))))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 (* n PI)) (* 2 (/ (/ (- 1.0 k) 2.0) 2))))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 (* n PI)) (* 2 (/ (/ (- 1.0 k) 2.0) 2))))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 (* n PI)) (* 2 (/ (/ (- 1.0 k) 2.0) 2))))) (exp (* (/ 1.0 (sqrt k)) (pow (* 2.0 (* n PI)) (* 2 (/ (/ (- 1.0 k) 2.0) 2))))) (/ (* (pow (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 3) (* (pow (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 3) (pow 1.0 3))) (* (sqrt k) k)) (* (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) 3) (pow (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 3)) (* (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) 3) (pow (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 3)) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 (* n PI)) (* 2 (/ (/ (- 1.0 k) 2.0) 2))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 (* n PI)) (* 2 (/ (/ (- 1.0 k) 2.0) 2)))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 (* n PI)) (* 2 (/ (/ (- 1.0 k) 2.0) 2))))) (pow (* (/ 1.0 (sqrt k)) (pow (* 2.0 (* n PI)) (* 2 (/ (/ (- 1.0 k) 2.0) 2)))) 3) (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 (* n PI)) (* 2 (/ (/ (- 1.0 k) 2.0) 2))))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 (* n PI)) (* 2 (/ (/ (- 1.0 k) 2.0) 2))))) (* 1.0 (pow (* 2.0 (* n PI)) (* 2 (/ (/ 1.0 2.0) 2)))) (* (sqrt k) (pow (* 2.0 (* n PI)) (* 2 (/ (/ k 2.0) 2)))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 (* n PI)) (* 2 (/ (/ 1.0 2.0) 2)))) (pow (* 2.0 (* n PI)) (* 2 (/ (/ k 2.0) 2))) (* (* 1.0 (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2))) (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))) (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* 2.0 (* n PI)) (/ (/ (- 1.0 k) 2.0) 4))) (pow (* 2.0 (* n PI)) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (* 1.0 (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* 1.0 (pow (* 2.0 (* n PI)) (* 2 (/ (/ (- 1.0 k) 2.0) 2)))) (- (- (* +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 k) +nan.0) (- (/ +nan.0 (pow k 2)))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (- (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (+ (- (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)))) (+ (- (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)))) (+ (- (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* +nan.0 (- (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))) (+ (* +nan.0 (- (/ (pow (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 2) (pow k 3)) (/ (pow (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 2) k))) (* (- +nan.0) (/ (pow (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 2) (pow k 2)))) (+ (- (* +nan.0 (pow (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 2))) (* +nan.0 (- (/ (pow (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 2) k) (/ (pow (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 2) (pow k 2))))) 13.671 * * * [progress]: adding candidates to table 14.142 * * [progress]: iteration 4 / 4 14.143 * * * [progress]: picking best candidate 14.211 * * * * [pick]: Picked # 14.211 * * * [progress]: localizing error 14.269 * * * [progress]: generating rewritten candidates 14.269 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 14.282 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1) 14.318 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 14.709 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 14.797 * * * [progress]: generating series expansions 14.797 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 14.797 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 14.797 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 14.797 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 14.797 * [taylor]: Taking taylor expansion of 1.0 in k 14.797 * [backup-simplify]: Simplify 1.0 into 1.0 14.797 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 14.797 * [taylor]: Taking taylor expansion of (/ 1 k) in k 14.797 * [taylor]: Taking taylor expansion of k in k 14.797 * [backup-simplify]: Simplify 0 into 0 14.797 * [backup-simplify]: Simplify 1 into 1 14.798 * [backup-simplify]: Simplify (/ 1 1) into 1 14.798 * [backup-simplify]: Simplify (sqrt 0) into 0 14.799 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 14.799 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 14.799 * [taylor]: Taking taylor expansion of 1.0 in k 14.799 * [backup-simplify]: Simplify 1.0 into 1.0 14.799 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 14.799 * [taylor]: Taking taylor expansion of (/ 1 k) in k 14.799 * [taylor]: Taking taylor expansion of k in k 14.799 * [backup-simplify]: Simplify 0 into 0 14.799 * [backup-simplify]: Simplify 1 into 1 14.799 * [backup-simplify]: Simplify (/ 1 1) into 1 14.799 * [backup-simplify]: Simplify (sqrt 0) into 0 14.800 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 14.801 * [backup-simplify]: Simplify (* 1.0 0) into 0 14.801 * [backup-simplify]: Simplify 0 into 0 14.801 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 14.802 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 14.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.804 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 14.805 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 14.805 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 14.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.808 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 14.809 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 14.810 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 14.810 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 14.811 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 14.811 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 14.811 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 14.811 * [taylor]: Taking taylor expansion of 1.0 in k 14.811 * [backup-simplify]: Simplify 1.0 into 1.0 14.811 * [taylor]: Taking taylor expansion of (sqrt k) in k 14.811 * [taylor]: Taking taylor expansion of k in k 14.811 * [backup-simplify]: Simplify 0 into 0 14.811 * [backup-simplify]: Simplify 1 into 1 14.811 * [backup-simplify]: Simplify (sqrt 0) into 0 14.812 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 14.812 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 14.812 * [taylor]: Taking taylor expansion of 1.0 in k 14.812 * [backup-simplify]: Simplify 1.0 into 1.0 14.812 * [taylor]: Taking taylor expansion of (sqrt k) in k 14.812 * [taylor]: Taking taylor expansion of k in k 14.812 * [backup-simplify]: Simplify 0 into 0 14.812 * [backup-simplify]: Simplify 1 into 1 14.812 * [backup-simplify]: Simplify (sqrt 0) into 0 14.813 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 14.813 * [backup-simplify]: Simplify (* 1.0 0) into 0 14.813 * [backup-simplify]: Simplify 0 into 0 14.814 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 14.814 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 14.816 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 14.817 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 14.818 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 14.820 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 14.822 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 14.822 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 14.823 * [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)))))))) 14.823 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 14.823 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 14.823 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 14.823 * [taylor]: Taking taylor expansion of 1.0 in k 14.823 * [backup-simplify]: Simplify 1.0 into 1.0 14.823 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 14.823 * [taylor]: Taking taylor expansion of (/ -1 k) in k 14.824 * [taylor]: Taking taylor expansion of -1 in k 14.824 * [backup-simplify]: Simplify -1 into -1 14.824 * [taylor]: Taking taylor expansion of k in k 14.824 * [backup-simplify]: Simplify 0 into 0 14.824 * [backup-simplify]: Simplify 1 into 1 14.824 * [backup-simplify]: Simplify (/ -1 1) into -1 14.824 * [backup-simplify]: Simplify (sqrt 0) into 0 14.833 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 14.833 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 14.833 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 14.833 * [taylor]: Taking taylor expansion of 1.0 in k 14.833 * [backup-simplify]: Simplify 1.0 into 1.0 14.833 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 14.833 * [taylor]: Taking taylor expansion of (/ -1 k) in k 14.833 * [taylor]: Taking taylor expansion of -1 in k 14.833 * [backup-simplify]: Simplify -1 into -1 14.833 * [taylor]: Taking taylor expansion of k in k 14.833 * [backup-simplify]: Simplify 0 into 0 14.833 * [backup-simplify]: Simplify 1 into 1 14.834 * [backup-simplify]: Simplify (/ -1 1) into -1 14.834 * [backup-simplify]: Simplify (sqrt 0) into 0 14.834 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 14.835 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 14.835 * [backup-simplify]: Simplify +nan.0 into +nan.0 14.835 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 14.837 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 14.839 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 14.839 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 14.840 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.842 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 14.844 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 14.845 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 14.845 * [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))))) 14.845 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1) 14.846 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 14.846 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 14.846 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 14.846 * [taylor]: Taking taylor expansion of 2.0 in n 14.846 * [backup-simplify]: Simplify 2.0 into 2.0 14.846 * [taylor]: Taking taylor expansion of (* n PI) in n 14.846 * [taylor]: Taking taylor expansion of n in n 14.846 * [backup-simplify]: Simplify 0 into 0 14.846 * [backup-simplify]: Simplify 1 into 1 14.846 * [taylor]: Taking taylor expansion of PI in n 14.846 * [backup-simplify]: Simplify PI into PI 14.846 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 14.846 * [taylor]: Taking taylor expansion of 2.0 in n 14.846 * [backup-simplify]: Simplify 2.0 into 2.0 14.846 * [taylor]: Taking taylor expansion of (* n PI) in n 14.846 * [taylor]: Taking taylor expansion of n in n 14.846 * [backup-simplify]: Simplify 0 into 0 14.846 * [backup-simplify]: Simplify 1 into 1 14.846 * [taylor]: Taking taylor expansion of PI in n 14.846 * [backup-simplify]: Simplify PI into PI 14.846 * [backup-simplify]: Simplify (* 0 PI) into 0 14.847 * [backup-simplify]: Simplify (* 2.0 0) into 0 14.847 * [backup-simplify]: Simplify 0 into 0 14.848 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 14.848 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 14.849 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 14.849 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 14.850 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 14.850 * [backup-simplify]: Simplify 0 into 0 14.851 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 14.851 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 14.851 * [backup-simplify]: Simplify 0 into 0 14.852 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 14.853 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 14.853 * [backup-simplify]: Simplify 0 into 0 14.854 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 14.855 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 14.855 * [backup-simplify]: Simplify 0 into 0 14.856 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 14.857 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 14.857 * [backup-simplify]: Simplify 0 into 0 14.858 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 14.859 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 14.859 * [backup-simplify]: Simplify 0 into 0 14.859 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 14.860 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 14.860 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 14.860 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 14.860 * [taylor]: Taking taylor expansion of 2.0 in n 14.860 * [backup-simplify]: Simplify 2.0 into 2.0 14.860 * [taylor]: Taking taylor expansion of (/ PI n) in n 14.860 * [taylor]: Taking taylor expansion of PI in n 14.860 * [backup-simplify]: Simplify PI into PI 14.860 * [taylor]: Taking taylor expansion of n in n 14.860 * [backup-simplify]: Simplify 0 into 0 14.860 * [backup-simplify]: Simplify 1 into 1 14.860 * [backup-simplify]: Simplify (/ PI 1) into PI 14.860 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 14.860 * [taylor]: Taking taylor expansion of 2.0 in n 14.860 * [backup-simplify]: Simplify 2.0 into 2.0 14.860 * [taylor]: Taking taylor expansion of (/ PI n) in n 14.860 * [taylor]: Taking taylor expansion of PI in n 14.860 * [backup-simplify]: Simplify PI into PI 14.860 * [taylor]: Taking taylor expansion of n in n 14.860 * [backup-simplify]: Simplify 0 into 0 14.860 * [backup-simplify]: Simplify 1 into 1 14.861 * [backup-simplify]: Simplify (/ PI 1) into PI 14.861 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 14.861 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 14.862 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 14.862 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 14.862 * [backup-simplify]: Simplify 0 into 0 14.863 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.863 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 14.863 * [backup-simplify]: Simplify 0 into 0 14.864 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.865 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 14.865 * [backup-simplify]: Simplify 0 into 0 14.865 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.866 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 14.866 * [backup-simplify]: Simplify 0 into 0 14.867 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.868 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 14.868 * [backup-simplify]: Simplify 0 into 0 14.868 * [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 14.869 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 14.869 * [backup-simplify]: Simplify 0 into 0 14.870 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 14.870 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 14.870 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 14.870 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 14.870 * [taylor]: Taking taylor expansion of -2.0 in n 14.870 * [backup-simplify]: Simplify -2.0 into -2.0 14.870 * [taylor]: Taking taylor expansion of (/ PI n) in n 14.870 * [taylor]: Taking taylor expansion of PI in n 14.870 * [backup-simplify]: Simplify PI into PI 14.870 * [taylor]: Taking taylor expansion of n in n 14.870 * [backup-simplify]: Simplify 0 into 0 14.870 * [backup-simplify]: Simplify 1 into 1 14.871 * [backup-simplify]: Simplify (/ PI 1) into PI 14.871 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 14.871 * [taylor]: Taking taylor expansion of -2.0 in n 14.871 * [backup-simplify]: Simplify -2.0 into -2.0 14.871 * [taylor]: Taking taylor expansion of (/ PI n) in n 14.871 * [taylor]: Taking taylor expansion of PI in n 14.871 * [backup-simplify]: Simplify PI into PI 14.871 * [taylor]: Taking taylor expansion of n in n 14.871 * [backup-simplify]: Simplify 0 into 0 14.871 * [backup-simplify]: Simplify 1 into 1 14.871 * [backup-simplify]: Simplify (/ PI 1) into PI 14.872 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 14.872 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 14.872 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 14.873 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 14.873 * [backup-simplify]: Simplify 0 into 0 14.873 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.874 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 14.874 * [backup-simplify]: Simplify 0 into 0 14.875 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.875 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 14.875 * [backup-simplify]: Simplify 0 into 0 14.876 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.877 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 14.877 * [backup-simplify]: Simplify 0 into 0 14.878 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.878 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 14.879 * [backup-simplify]: Simplify 0 into 0 14.879 * [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 14.880 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 14.880 * [backup-simplify]: Simplify 0 into 0 14.881 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 14.881 * * * * [progress]: [ 3 / 4 ] generating series at (2) 14.882 * [backup-simplify]: Simplify (* (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) 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))) into (* 1.0 (* (sqrt (/ 1 k)) (* (pow n (* 0.25 (- 1.0 k))) (* (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) (pow (* 2.0 PI) (* 0.25 (- 1.0 k))))))) 14.882 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow n (* 0.25 (- 1.0 k))) (* (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) (pow (* 2.0 PI) (* 0.25 (- 1.0 k))))))) in (k n) around 0 14.882 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow n (* 0.25 (- 1.0 k))) (* (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) (pow (* 2.0 PI) (* 0.25 (- 1.0 k))))))) in n 14.882 * [taylor]: Taking taylor expansion of 1.0 in n 14.882 * [backup-simplify]: Simplify 1.0 into 1.0 14.882 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow n (* 0.25 (- 1.0 k))) (* (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) (pow (* 2.0 PI) (* 0.25 (- 1.0 k)))))) in n 14.882 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 14.882 * [taylor]: Taking taylor expansion of (/ 1 k) in n 14.882 * [taylor]: Taking taylor expansion of k in n 14.882 * [backup-simplify]: Simplify k into k 14.882 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 14.882 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 14.882 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 14.882 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 14.882 * [taylor]: Taking taylor expansion of (* (pow n (* 0.25 (- 1.0 k))) (* (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) (pow (* 2.0 PI) (* 0.25 (- 1.0 k))))) in n 14.882 * [taylor]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in n 14.882 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log n))) in n 14.882 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log n)) in n 14.882 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 14.882 * [taylor]: Taking taylor expansion of 0.25 in n 14.882 * [backup-simplify]: Simplify 0.25 into 0.25 14.882 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 14.882 * [taylor]: Taking taylor expansion of 1.0 in n 14.882 * [backup-simplify]: Simplify 1.0 into 1.0 14.882 * [taylor]: Taking taylor expansion of k in n 14.882 * [backup-simplify]: Simplify k into k 14.882 * [taylor]: Taking taylor expansion of (log n) in n 14.882 * [taylor]: Taking taylor expansion of n in n 14.882 * [backup-simplify]: Simplify 0 into 0 14.883 * [backup-simplify]: Simplify 1 into 1 14.883 * [backup-simplify]: Simplify (log 1) into 0 14.883 * [backup-simplify]: Simplify (- k) into (- k) 14.883 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 14.883 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 14.883 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 14.883 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (log n)) into (* 0.25 (* (- 1.0 k) (log n))) 14.883 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (log n)))) into (exp (* 0.25 (* (- 1.0 k) (log n)))) 14.883 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) (pow (* 2.0 PI) (* 0.25 (- 1.0 k)))) in n 14.883 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 14.883 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 14.883 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 14.884 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 14.884 * [taylor]: Taking taylor expansion of 0.25 in n 14.884 * [backup-simplify]: Simplify 0.25 into 0.25 14.884 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 14.884 * [taylor]: Taking taylor expansion of 1.0 in n 14.884 * [backup-simplify]: Simplify 1.0 into 1.0 14.884 * [taylor]: Taking taylor expansion of k in n 14.884 * [backup-simplify]: Simplify k into k 14.884 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 14.884 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 14.884 * [taylor]: Taking taylor expansion of 2.0 in n 14.884 * [backup-simplify]: Simplify 2.0 into 2.0 14.884 * [taylor]: Taking taylor expansion of (* n PI) in n 14.884 * [taylor]: Taking taylor expansion of n in n 14.884 * [backup-simplify]: Simplify 0 into 0 14.884 * [backup-simplify]: Simplify 1 into 1 14.884 * [taylor]: Taking taylor expansion of PI in n 14.884 * [backup-simplify]: Simplify PI into PI 14.884 * [backup-simplify]: Simplify (* 0 PI) into 0 14.884 * [backup-simplify]: Simplify (* 2.0 0) into 0 14.885 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 14.886 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 14.887 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 14.887 * [backup-simplify]: Simplify (- k) into (- k) 14.887 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 14.887 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 14.888 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 14.889 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 14.890 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 14.890 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) in n 14.890 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI)))) in n 14.890 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI))) in n 14.890 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 14.890 * [taylor]: Taking taylor expansion of 0.25 in n 14.890 * [backup-simplify]: Simplify 0.25 into 0.25 14.890 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 14.890 * [taylor]: Taking taylor expansion of 1.0 in n 14.890 * [backup-simplify]: Simplify 1.0 into 1.0 14.890 * [taylor]: Taking taylor expansion of k in n 14.890 * [backup-simplify]: Simplify k into k 14.890 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 14.890 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 14.890 * [taylor]: Taking taylor expansion of 2.0 in n 14.890 * [backup-simplify]: Simplify 2.0 into 2.0 14.890 * [taylor]: Taking taylor expansion of PI in n 14.890 * [backup-simplify]: Simplify PI into PI 14.890 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 14.891 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 14.891 * [backup-simplify]: Simplify (- k) into (- k) 14.891 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 14.891 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 14.892 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI))) into (* 0.25 (* (- 1.0 k) (log (* 2.0 PI)))) 14.893 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) into (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) 14.893 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow n (* 0.25 (- 1.0 k))) (* (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) (pow (* 2.0 PI) (* 0.25 (- 1.0 k))))))) in k 14.893 * [taylor]: Taking taylor expansion of 1.0 in k 14.893 * [backup-simplify]: Simplify 1.0 into 1.0 14.893 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow n (* 0.25 (- 1.0 k))) (* (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) (pow (* 2.0 PI) (* 0.25 (- 1.0 k)))))) in k 14.893 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 14.893 * [taylor]: Taking taylor expansion of (/ 1 k) in k 14.893 * [taylor]: Taking taylor expansion of k in k 14.893 * [backup-simplify]: Simplify 0 into 0 14.893 * [backup-simplify]: Simplify 1 into 1 14.893 * [backup-simplify]: Simplify (/ 1 1) into 1 14.893 * [backup-simplify]: Simplify (sqrt 0) into 0 14.894 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 14.894 * [taylor]: Taking taylor expansion of (* (pow n (* 0.25 (- 1.0 k))) (* (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) (pow (* 2.0 PI) (* 0.25 (- 1.0 k))))) in k 14.894 * [taylor]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in k 14.894 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log n))) in k 14.894 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log n)) in k 14.894 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 14.894 * [taylor]: Taking taylor expansion of 0.25 in k 14.894 * [backup-simplify]: Simplify 0.25 into 0.25 14.894 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 14.894 * [taylor]: Taking taylor expansion of 1.0 in k 14.894 * [backup-simplify]: Simplify 1.0 into 1.0 14.894 * [taylor]: Taking taylor expansion of k in k 14.894 * [backup-simplify]: Simplify 0 into 0 14.894 * [backup-simplify]: Simplify 1 into 1 14.894 * [taylor]: Taking taylor expansion of (log n) in k 14.894 * [taylor]: Taking taylor expansion of n in k 14.894 * [backup-simplify]: Simplify n into n 14.894 * [backup-simplify]: Simplify (log n) into (log n) 14.895 * [backup-simplify]: Simplify (- 0) into 0 14.895 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 14.895 * [backup-simplify]: Simplify (* 0.25 1.0) into 0.25 14.895 * [backup-simplify]: Simplify (* 0.25 (log n)) into (* 0.25 (log n)) 14.895 * [backup-simplify]: Simplify (exp (* 0.25 (log n))) into (pow n 0.25) 14.895 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) (pow (* 2.0 PI) (* 0.25 (- 1.0 k)))) in k 14.896 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 14.896 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 14.896 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 14.896 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 14.896 * [taylor]: Taking taylor expansion of 0.25 in k 14.896 * [backup-simplify]: Simplify 0.25 into 0.25 14.896 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 14.896 * [taylor]: Taking taylor expansion of 1.0 in k 14.896 * [backup-simplify]: Simplify 1.0 into 1.0 14.896 * [taylor]: Taking taylor expansion of k in k 14.896 * [backup-simplify]: Simplify 0 into 0 14.896 * [backup-simplify]: Simplify 1 into 1 14.896 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 14.896 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 14.896 * [taylor]: Taking taylor expansion of 2.0 in k 14.896 * [backup-simplify]: Simplify 2.0 into 2.0 14.896 * [taylor]: Taking taylor expansion of (* n PI) in k 14.896 * [taylor]: Taking taylor expansion of n in k 14.896 * [backup-simplify]: Simplify n into n 14.896 * [taylor]: Taking taylor expansion of PI in k 14.896 * [backup-simplify]: Simplify PI into PI 14.896 * [backup-simplify]: Simplify (* n PI) into (* n PI) 14.896 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 14.896 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 14.896 * [backup-simplify]: Simplify (- 0) into 0 14.897 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 14.897 * [backup-simplify]: Simplify (* 0.25 1.0) into 0.25 14.897 * [backup-simplify]: Simplify (* 0.25 (log (* 2.0 (* n PI)))) into (* 0.25 (log (* 2.0 (* n PI)))) 14.897 * [backup-simplify]: Simplify (exp (* 0.25 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.25) 14.897 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) in k 14.897 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI)))) in k 14.897 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI))) in k 14.897 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 14.897 * [taylor]: Taking taylor expansion of 0.25 in k 14.897 * [backup-simplify]: Simplify 0.25 into 0.25 14.897 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 14.897 * [taylor]: Taking taylor expansion of 1.0 in k 14.897 * [backup-simplify]: Simplify 1.0 into 1.0 14.898 * [taylor]: Taking taylor expansion of k in k 14.898 * [backup-simplify]: Simplify 0 into 0 14.898 * [backup-simplify]: Simplify 1 into 1 14.898 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 14.898 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 14.898 * [taylor]: Taking taylor expansion of 2.0 in k 14.898 * [backup-simplify]: Simplify 2.0 into 2.0 14.898 * [taylor]: Taking taylor expansion of PI in k 14.898 * [backup-simplify]: Simplify PI into PI 14.898 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 14.899 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 14.899 * [backup-simplify]: Simplify (- 0) into 0 14.899 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 14.900 * [backup-simplify]: Simplify (* 0.25 1.0) into 0.25 14.901 * [backup-simplify]: Simplify (* 0.25 (log (* 2.0 PI))) into (* 0.25 (log (* 2.0 PI))) 14.902 * [backup-simplify]: Simplify (exp (* 0.25 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.25) 14.902 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow n (* 0.25 (- 1.0 k))) (* (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) (pow (* 2.0 PI) (* 0.25 (- 1.0 k))))))) in k 14.902 * [taylor]: Taking taylor expansion of 1.0 in k 14.902 * [backup-simplify]: Simplify 1.0 into 1.0 14.902 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow n (* 0.25 (- 1.0 k))) (* (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) (pow (* 2.0 PI) (* 0.25 (- 1.0 k)))))) in k 14.902 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 14.902 * [taylor]: Taking taylor expansion of (/ 1 k) in k 14.902 * [taylor]: Taking taylor expansion of k in k 14.902 * [backup-simplify]: Simplify 0 into 0 14.902 * [backup-simplify]: Simplify 1 into 1 14.903 * [backup-simplify]: Simplify (/ 1 1) into 1 14.903 * [backup-simplify]: Simplify (sqrt 0) into 0 14.904 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 14.904 * [taylor]: Taking taylor expansion of (* (pow n (* 0.25 (- 1.0 k))) (* (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) (pow (* 2.0 PI) (* 0.25 (- 1.0 k))))) in k 14.904 * [taylor]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in k 14.904 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log n))) in k 14.904 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log n)) in k 14.904 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 14.904 * [taylor]: Taking taylor expansion of 0.25 in k 14.904 * [backup-simplify]: Simplify 0.25 into 0.25 14.904 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 14.904 * [taylor]: Taking taylor expansion of 1.0 in k 14.904 * [backup-simplify]: Simplify 1.0 into 1.0 14.904 * [taylor]: Taking taylor expansion of k in k 14.904 * [backup-simplify]: Simplify 0 into 0 14.904 * [backup-simplify]: Simplify 1 into 1 14.904 * [taylor]: Taking taylor expansion of (log n) in k 14.904 * [taylor]: Taking taylor expansion of n in k 14.904 * [backup-simplify]: Simplify n into n 14.904 * [backup-simplify]: Simplify (log n) into (log n) 14.904 * [backup-simplify]: Simplify (- 0) into 0 14.905 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 14.905 * [backup-simplify]: Simplify (* 0.25 1.0) into 0.25 14.905 * [backup-simplify]: Simplify (* 0.25 (log n)) into (* 0.25 (log n)) 14.905 * [backup-simplify]: Simplify (exp (* 0.25 (log n))) into (pow n 0.25) 14.905 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) (pow (* 2.0 PI) (* 0.25 (- 1.0 k)))) in k 14.905 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 14.905 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 14.905 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 14.905 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 14.905 * [taylor]: Taking taylor expansion of 0.25 in k 14.905 * [backup-simplify]: Simplify 0.25 into 0.25 14.905 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 14.905 * [taylor]: Taking taylor expansion of 1.0 in k 14.905 * [backup-simplify]: Simplify 1.0 into 1.0 14.905 * [taylor]: Taking taylor expansion of k in k 14.905 * [backup-simplify]: Simplify 0 into 0 14.905 * [backup-simplify]: Simplify 1 into 1 14.905 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 14.905 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 14.905 * [taylor]: Taking taylor expansion of 2.0 in k 14.905 * [backup-simplify]: Simplify 2.0 into 2.0 14.905 * [taylor]: Taking taylor expansion of (* n PI) in k 14.905 * [taylor]: Taking taylor expansion of n in k 14.905 * [backup-simplify]: Simplify n into n 14.905 * [taylor]: Taking taylor expansion of PI in k 14.905 * [backup-simplify]: Simplify PI into PI 14.905 * [backup-simplify]: Simplify (* n PI) into (* n PI) 14.905 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 14.906 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 14.906 * [backup-simplify]: Simplify (- 0) into 0 14.906 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 14.906 * [backup-simplify]: Simplify (* 0.25 1.0) into 0.25 14.906 * [backup-simplify]: Simplify (* 0.25 (log (* 2.0 (* n PI)))) into (* 0.25 (log (* 2.0 (* n PI)))) 14.907 * [backup-simplify]: Simplify (exp (* 0.25 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.25) 14.907 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) in k 14.907 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI)))) in k 14.907 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI))) in k 14.907 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 14.907 * [taylor]: Taking taylor expansion of 0.25 in k 14.907 * [backup-simplify]: Simplify 0.25 into 0.25 14.907 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 14.907 * [taylor]: Taking taylor expansion of 1.0 in k 14.907 * [backup-simplify]: Simplify 1.0 into 1.0 14.907 * [taylor]: Taking taylor expansion of k in k 14.907 * [backup-simplify]: Simplify 0 into 0 14.907 * [backup-simplify]: Simplify 1 into 1 14.907 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 14.907 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 14.907 * [taylor]: Taking taylor expansion of 2.0 in k 14.907 * [backup-simplify]: Simplify 2.0 into 2.0 14.907 * [taylor]: Taking taylor expansion of PI in k 14.907 * [backup-simplify]: Simplify PI into PI 14.907 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 14.908 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 14.908 * [backup-simplify]: Simplify (- 0) into 0 14.909 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 14.909 * [backup-simplify]: Simplify (* 0.25 1.0) into 0.25 14.911 * [backup-simplify]: Simplify (* 0.25 (log (* 2.0 PI))) into (* 0.25 (log (* 2.0 PI))) 14.914 * [backup-simplify]: Simplify (exp (* 0.25 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.25) 14.916 * [backup-simplify]: Simplify (* (pow (* 2.0 (* n PI)) 0.25) (pow (* 2.0 PI) 0.25)) into (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (pow n 1.0) 0.25)) 14.920 * [backup-simplify]: Simplify (* (pow n 0.25) (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (pow n 1.0) 0.25))) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) 14.921 * [backup-simplify]: Simplify (* 0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) into 0 14.921 * [backup-simplify]: Simplify (* 1.0 0) into 0 14.922 * [taylor]: Taking taylor expansion of 0 in n 14.922 * [backup-simplify]: Simplify 0 into 0 14.922 * [backup-simplify]: Simplify 0 into 0 14.923 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 14.924 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 14.925 * [backup-simplify]: Simplify (- 1) into -1 14.925 * [backup-simplify]: Simplify (+ 0 -1) into -1 14.927 * [backup-simplify]: Simplify (+ (* 0.25 -1) (* 0 1.0)) into (- 0.25) 14.930 * [backup-simplify]: Simplify (+ (* 0.25 0) (* (- 0.25) (log (* 2.0 PI)))) into (- (* 0.25 (log (* 2.0 PI)))) 14.952 * [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))) 14.953 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 14.953 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (* n PI))) into 0 14.954 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 1) into 0 14.954 * [backup-simplify]: Simplify (- 1) into -1 14.955 * [backup-simplify]: Simplify (+ 0 -1) into -1 14.956 * [backup-simplify]: Simplify (+ (* 0.25 -1) (* 0 1.0)) into (- 0.25) 14.957 * [backup-simplify]: Simplify (+ (* 0.25 0) (* (- 0.25) (log (* 2.0 (* n PI))))) into (- (* 0.25 (log (* 2.0 (* n PI))))) 14.958 * [backup-simplify]: Simplify (* (exp (* 0.25 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.25 (log (* 2.0 (* n PI))))) 1) 1)))) into (* -0.25 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25))) 14.968 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 (* n 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 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25))) (pow (* 2.0 PI) 0.25))) into (- (+ (* 0.25 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (pow (pow n 1.0) 0.25) (log (* 2.0 (* n PI)))))) (* 0.25 (* (log (* 2.0 PI)) (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (pow n 1.0) 0.25)))))) 14.969 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 14.969 * [backup-simplify]: Simplify (- 1) into -1 14.970 * [backup-simplify]: Simplify (+ 0 -1) into -1 14.971 * [backup-simplify]: Simplify (+ (* 0.25 -1) (* 0 1.0)) into (- 0.25) 14.972 * [backup-simplify]: Simplify (+ (* 0.25 0) (* (- 0.25) (log n))) into (- (* 0.25 (log n))) 14.972 * [backup-simplify]: Simplify (* (exp (* 0.25 (log n))) (+ (* (/ (pow (- (* 0.25 (log n))) 1) 1)))) into (* -0.25 (* (pow (pow n 1.0) 0.25) (log n))) 14.984 * [backup-simplify]: Simplify (+ (* (pow n 0.25) (- (+ (* 0.25 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (pow (pow n 1.0) 0.25) (log (* 2.0 (* n PI)))))) (* 0.25 (* (log (* 2.0 PI)) (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (pow n 1.0) 0.25))))))) (* (* -0.25 (* (pow (pow n 1.0) 0.25) (log n))) (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (pow n 1.0) 0.25)))) into (- (+ (* 0.25 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)))))) 14.992 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 0.25 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.25 (* (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 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))) 14.993 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 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))) 14.993 * [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 14.993 * [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 14.993 * [taylor]: Taking taylor expansion of +nan.0 in n 14.993 * [backup-simplify]: Simplify +nan.0 into +nan.0 14.993 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 14.993 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 14.993 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 14.993 * [taylor]: Taking taylor expansion of 0.5 in n 14.993 * [backup-simplify]: Simplify 0.5 into 0.5 14.993 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 14.993 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 14.993 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 14.993 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 14.993 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 14.993 * [taylor]: Taking taylor expansion of 1.0 in n 14.993 * [backup-simplify]: Simplify 1.0 into 1.0 14.993 * [taylor]: Taking taylor expansion of (log 2.0) in n 14.993 * [taylor]: Taking taylor expansion of 2.0 in n 14.993 * [backup-simplify]: Simplify 2.0 into 2.0 14.994 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 14.994 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 14.995 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 14.995 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 14.995 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 14.995 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 14.995 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 14.995 * [taylor]: Taking taylor expansion of 1.0 in n 14.995 * [backup-simplify]: Simplify 1.0 into 1.0 14.995 * [taylor]: Taking taylor expansion of (log n) in n 14.995 * [taylor]: Taking taylor expansion of n in n 14.995 * [backup-simplify]: Simplify 0 into 0 14.995 * [backup-simplify]: Simplify 1 into 1 14.996 * [backup-simplify]: Simplify (log 1) into 0 14.996 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 14.996 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 14.996 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 14.996 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 14.996 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 14.996 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 14.996 * [taylor]: Taking taylor expansion of 1.0 in n 14.996 * [backup-simplify]: Simplify 1.0 into 1.0 14.996 * [taylor]: Taking taylor expansion of (log PI) in n 14.996 * [taylor]: Taking taylor expansion of PI in n 14.996 * [backup-simplify]: Simplify PI into PI 14.996 * [backup-simplify]: Simplify (log PI) into (log PI) 14.997 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 14.998 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 14.999 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 15.000 * [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) 15.000 * [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)) 15.001 * [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))) 15.002 * [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) 15.003 * [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)) 15.004 * [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))) 15.005 * [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))) 15.005 * [backup-simplify]: Simplify 0 into 0 15.006 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 15.008 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 15.008 * [backup-simplify]: Simplify (- 0) into 0 15.008 * [backup-simplify]: Simplify (+ 0 0) into 0 15.009 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 -1) (* 0 1.0))) into 0 15.010 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* (- 0.25) 0) (* 0 (log (* 2.0 PI))))) into 0 15.019 * [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))) 15.019 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 15.020 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 15.021 * [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 15.022 * [backup-simplify]: Simplify (- 0) into 0 15.022 * [backup-simplify]: Simplify (+ 0 0) into 0 15.023 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 -1) (* 0 1.0))) into 0 15.024 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* (- 0.25) 0) (* 0 (log (* 2.0 (* n PI)))))) into 0 15.026 * [backup-simplify]: Simplify (* (exp (* 0.25 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.25 (log (* 2.0 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.03125 (* (pow (log (* 2.0 (* n PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25))) 15.049 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 (* n 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 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 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 (* n PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25))) (pow (* 2.0 PI) 0.25)))) into (+ (* 0.03125 (* (pow (log (* 2.0 PI)) 2) (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (pow n 1.0) 0.25)))) (+ (* 0.0625 (* (* (log (* 2.0 PI)) (log (* 2.0 (* n PI)))) (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (pow n 1.0) 0.25)))) (* 0.03125 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (pow (pow n 1.0) 0.25) (pow (log (* 2.0 (* n PI))) 2)))))) 15.051 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 15.052 * [backup-simplify]: Simplify (- 0) into 0 15.052 * [backup-simplify]: Simplify (+ 0 0) into 0 15.053 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 -1) (* 0 1.0))) into 0 15.054 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* (- 0.25) 0) (* 0 (log n)))) into 0 15.055 * [backup-simplify]: Simplify (* (exp (* 0.25 (log n))) (+ (* (/ (pow (- (* 0.25 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.03125 (* (pow (pow n 1.0) 0.25) (pow (log n) 2))) 15.092 * [backup-simplify]: Simplify (+ (* (pow n 0.25) (+ (* 0.03125 (* (pow (log (* 2.0 PI)) 2) (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (pow n 1.0) 0.25)))) (+ (* 0.0625 (* (* (log (* 2.0 PI)) (log (* 2.0 (* n PI)))) (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (pow n 1.0) 0.25)))) (* 0.03125 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (pow (pow n 1.0) 0.25) (pow (log (* 2.0 (* n PI))) 2))))))) (+ (* (* -0.25 (* (pow (pow n 1.0) 0.25) (log n))) (- (+ (* 0.25 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (pow (pow n 1.0) 0.25) (log (* 2.0 (* n PI)))))) (* 0.25 (* (log (* 2.0 PI)) (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (pow n 1.0) 0.25))))))) (* (* 0.03125 (* (pow (pow n 1.0) 0.25) (pow (log n) 2))) (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (pow n 1.0) 0.25))))) into (+ (* 0.03125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (+ (* 0.03125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.0625 (* (* (log (* 2.0 PI)) (log (* 2.0 (* n PI)))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (+ (* 0.03125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) (+ (* 0.0625 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.0625 (* (* (log (* 2.0 (* n PI))) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))) 15.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.096 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 15.120 * [backup-simplify]: Simplify (+ (* 0 (+ (* 0.03125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (+ (* 0.03125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.0625 (* (* (log (* 2.0 PI)) (log (* 2.0 (* n PI)))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (+ (* 0.03125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) (+ (* 0.0625 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.0625 (* (* (log (* 2.0 (* n PI))) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))) (+ (* +nan.0 (- (+ (* 0.25 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.25 (* (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 n 1.0) (pow PI 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 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) (log (* 2.0 (* n PI))))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))) 15.131 * [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 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) (log (* 2.0 (* n PI))))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))) (+ (* 0 (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 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 (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)))))))))) 15.131 * [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 (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)))))))))) in n 15.131 * [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 (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))))))))) in n 15.131 * [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 15.131 * [taylor]: Taking taylor expansion of +nan.0 in n 15.131 * [backup-simplify]: Simplify +nan.0 into +nan.0 15.131 * [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 15.131 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 15.131 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 15.132 * [taylor]: Taking taylor expansion of 2.0 in n 15.132 * [backup-simplify]: Simplify 2.0 into 2.0 15.132 * [taylor]: Taking taylor expansion of PI in n 15.132 * [backup-simplify]: Simplify PI into PI 15.132 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 15.133 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 15.133 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 15.133 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 15.133 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 15.133 * [taylor]: Taking taylor expansion of 0.5 in n 15.133 * [backup-simplify]: Simplify 0.5 into 0.5 15.134 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 15.134 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 15.134 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 15.134 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 15.134 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 15.134 * [taylor]: Taking taylor expansion of 1.0 in n 15.134 * [backup-simplify]: Simplify 1.0 into 1.0 15.134 * [taylor]: Taking taylor expansion of (log PI) in n 15.134 * [taylor]: Taking taylor expansion of PI in n 15.134 * [backup-simplify]: Simplify PI into PI 15.134 * [backup-simplify]: Simplify (log PI) into (log PI) 15.135 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 15.137 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 15.137 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 15.137 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 15.137 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 15.137 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 15.137 * [taylor]: Taking taylor expansion of 1.0 in n 15.137 * [backup-simplify]: Simplify 1.0 into 1.0 15.137 * [taylor]: Taking taylor expansion of (log n) in n 15.137 * [taylor]: Taking taylor expansion of n in n 15.137 * [backup-simplify]: Simplify 0 into 0 15.137 * [backup-simplify]: Simplify 1 into 1 15.138 * [backup-simplify]: Simplify (log 1) into 0 15.138 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 15.138 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 15.138 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 15.138 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 15.138 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 15.138 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 15.138 * [taylor]: Taking taylor expansion of 1.0 in n 15.139 * [backup-simplify]: Simplify 1.0 into 1.0 15.139 * [taylor]: Taking taylor expansion of (log 2.0) in n 15.139 * [taylor]: Taking taylor expansion of 2.0 in n 15.139 * [backup-simplify]: Simplify 2.0 into 2.0 15.139 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 15.140 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 15.141 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 15.142 * [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) 15.143 * [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) 15.145 * [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)) 15.146 * [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))) 15.148 * [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) 15.148 * [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))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)))))))) in n 15.148 * [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))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))))))) in n 15.148 * [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 15.148 * [taylor]: Taking taylor expansion of +nan.0 in n 15.148 * [backup-simplify]: Simplify +nan.0 into +nan.0 15.148 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 15.148 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 15.148 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 15.148 * [taylor]: Taking taylor expansion of 0.5 in n 15.148 * [backup-simplify]: Simplify 0.5 into 0.5 15.148 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 15.148 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 15.148 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 15.148 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 15.148 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 15.148 * [taylor]: Taking taylor expansion of 1.0 in n 15.148 * [backup-simplify]: Simplify 1.0 into 1.0 15.149 * [taylor]: Taking taylor expansion of (log PI) in n 15.149 * [taylor]: Taking taylor expansion of PI in n 15.149 * [backup-simplify]: Simplify PI into PI 15.149 * [backup-simplify]: Simplify (log PI) into (log PI) 15.150 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 15.152 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 15.152 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 15.152 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 15.152 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 15.152 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 15.152 * [taylor]: Taking taylor expansion of 1.0 in n 15.152 * [backup-simplify]: Simplify 1.0 into 1.0 15.152 * [taylor]: Taking taylor expansion of (log n) in n 15.152 * [taylor]: Taking taylor expansion of n in n 15.152 * [backup-simplify]: Simplify 0 into 0 15.152 * [backup-simplify]: Simplify 1 into 1 15.152 * [backup-simplify]: Simplify (log 1) into 0 15.153 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 15.153 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 15.153 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 15.153 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 15.153 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 15.153 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 15.153 * [taylor]: Taking taylor expansion of 1.0 in n 15.153 * [backup-simplify]: Simplify 1.0 into 1.0 15.153 * [taylor]: Taking taylor expansion of (log 2.0) in n 15.153 * [taylor]: Taking taylor expansion of 2.0 in n 15.153 * [backup-simplify]: Simplify 2.0 into 2.0 15.154 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 15.155 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 15.156 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 15.157 * [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) 15.158 * [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) 15.159 * [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)) 15.161 * [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))) 15.162 * [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) 15.162 * [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) (log n)))))) in n 15.162 * [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) (log n))))) in n 15.162 * [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 15.162 * [taylor]: Taking taylor expansion of +nan.0 in n 15.162 * [backup-simplify]: Simplify +nan.0 into +nan.0 15.162 * [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 15.163 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 15.163 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 15.163 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 15.163 * [taylor]: Taking taylor expansion of 0.5 in n 15.163 * [backup-simplify]: Simplify 0.5 into 0.5 15.163 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 15.163 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 15.163 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 15.163 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 15.163 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 15.163 * [taylor]: Taking taylor expansion of 1.0 in n 15.163 * [backup-simplify]: Simplify 1.0 into 1.0 15.163 * [taylor]: Taking taylor expansion of (log 2.0) in n 15.163 * [taylor]: Taking taylor expansion of 2.0 in n 15.163 * [backup-simplify]: Simplify 2.0 into 2.0 15.163 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 15.164 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 15.166 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 15.166 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 15.166 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 15.166 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 15.166 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 15.166 * [taylor]: Taking taylor expansion of 1.0 in n 15.166 * [backup-simplify]: Simplify 1.0 into 1.0 15.166 * [taylor]: Taking taylor expansion of (log PI) in n 15.166 * [taylor]: Taking taylor expansion of PI in n 15.166 * [backup-simplify]: Simplify PI into PI 15.167 * [backup-simplify]: Simplify (log PI) into (log PI) 15.168 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 15.169 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 15.169 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 15.170 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 15.170 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 15.170 * [taylor]: Taking taylor expansion of 1.0 in n 15.170 * [backup-simplify]: Simplify 1.0 into 1.0 15.170 * [taylor]: Taking taylor expansion of (log n) in n 15.170 * [taylor]: Taking taylor expansion of n in n 15.170 * [backup-simplify]: Simplify 0 into 0 15.170 * [backup-simplify]: Simplify 1 into 1 15.170 * [backup-simplify]: Simplify (log 1) into 0 15.171 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 15.171 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 15.171 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 15.171 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 15.173 * [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) 15.174 * [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)) 15.175 * [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))) 15.177 * [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) 15.177 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 15.177 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 15.177 * [taylor]: Taking taylor expansion of 2.0 in n 15.177 * [backup-simplify]: Simplify 2.0 into 2.0 15.177 * [taylor]: Taking taylor expansion of (* n PI) in n 15.177 * [taylor]: Taking taylor expansion of n in n 15.177 * [backup-simplify]: Simplify 0 into 0 15.177 * [backup-simplify]: Simplify 1 into 1 15.177 * [taylor]: Taking taylor expansion of PI in n 15.177 * [backup-simplify]: Simplify PI into PI 15.178 * [backup-simplify]: Simplify (* 0 PI) into 0 15.178 * [backup-simplify]: Simplify (* 2.0 0) into 0 15.179 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 15.181 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 15.182 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 15.182 * [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 15.182 * [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 15.182 * [taylor]: Taking taylor expansion of +nan.0 in n 15.182 * [backup-simplify]: Simplify +nan.0 into +nan.0 15.182 * [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 15.182 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 15.182 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 15.182 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 15.182 * [taylor]: Taking taylor expansion of 0.5 in n 15.182 * [backup-simplify]: Simplify 0.5 into 0.5 15.182 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 15.183 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 15.183 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 15.183 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 15.183 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 15.183 * [taylor]: Taking taylor expansion of 1.0 in n 15.183 * [backup-simplify]: Simplify 1.0 into 1.0 15.183 * [taylor]: Taking taylor expansion of (log 2.0) in n 15.183 * [taylor]: Taking taylor expansion of 2.0 in n 15.183 * [backup-simplify]: Simplify 2.0 into 2.0 15.183 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 15.184 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 15.185 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 15.185 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 15.185 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 15.185 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 15.185 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 15.186 * [taylor]: Taking taylor expansion of 1.0 in n 15.186 * [backup-simplify]: Simplify 1.0 into 1.0 15.186 * [taylor]: Taking taylor expansion of (log PI) in n 15.186 * [taylor]: Taking taylor expansion of PI in n 15.186 * [backup-simplify]: Simplify PI into PI 15.186 * [backup-simplify]: Simplify (log PI) into (log PI) 15.187 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 15.189 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 15.189 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 15.189 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 15.189 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 15.189 * [taylor]: Taking taylor expansion of 1.0 in n 15.190 * [backup-simplify]: Simplify 1.0 into 1.0 15.190 * [taylor]: Taking taylor expansion of (log n) in n 15.190 * [taylor]: Taking taylor expansion of n in n 15.190 * [backup-simplify]: Simplify 0 into 0 15.190 * [backup-simplify]: Simplify 1 into 1 15.190 * [backup-simplify]: Simplify (log 1) into 0 15.191 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 15.191 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 15.191 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 15.191 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 15.193 * [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) 15.194 * [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)) 15.195 * [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))) 15.197 * [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) 15.197 * [taylor]: Taking taylor expansion of (log n) in n 15.197 * [taylor]: Taking taylor expansion of n in n 15.197 * [backup-simplify]: Simplify 0 into 0 15.197 * [backup-simplify]: Simplify 1 into 1 15.198 * [backup-simplify]: Simplify (log 1) into 0 15.201 * [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)) 15.203 * [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))) 15.205 * [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)) 15.207 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 15.210 * [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)) 15.212 * [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))) 15.213 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 15.214 * [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)) 15.216 * [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))) 15.218 * [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)))) 15.221 * [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 (* (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)))))) 15.224 * [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 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)))))) 15.227 * [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 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 (* 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)))))))) 15.232 * [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 (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)))))))) 15.246 * [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)) (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))))))))) 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)) (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))))))))) 15.252 * [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)) (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)))))))))) 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)) (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))))))))) 15.257 * [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)) (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))))))))) 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 (* 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)))))))))) 15.258 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 15.259 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 15.260 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 15.261 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 15.261 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 15.261 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 15.262 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 15.262 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow PI 1.0))) into 0 15.263 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 15.264 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 15.265 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 15.265 * [backup-simplify]: Simplify (+ (* (pow 2.0 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow PI 1.0)) 1.0))) into 0 15.267 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1)))) 1) into 0 15.268 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)))) into 0 15.269 * [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)))) (+ (* (/ (pow 0 1) 1)))) into 0 15.270 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 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 0 15.270 * [backup-simplify]: Simplify (- 0) into 0 15.270 * [backup-simplify]: Simplify 0 into 0 15.270 * [backup-simplify]: Simplify 0 into 0 15.271 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 15.274 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0 15.275 * [backup-simplify]: Simplify (- 0) into 0 15.275 * [backup-simplify]: Simplify (+ 0 0) into 0 15.276 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 15.277 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* (- 0.25) 0) (+ (* 0 0) (* 0 (log (* 2.0 PI)))))) into 0 15.293 * [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))) 15.294 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 15.295 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 15.299 * [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 15.299 * [backup-simplify]: Simplify (- 0) into 0 15.299 * [backup-simplify]: Simplify (+ 0 0) into 0 15.301 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 15.302 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* (- 0.25) 0) (+ (* 0 0) (* 0 (log (* 2.0 (* n PI))))))) into 0 15.304 * [backup-simplify]: Simplify (* (exp (* 0.25 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.25 (log (* 2.0 (* n PI))))) 3) 6)) (* (/ (pow (- (* 0.25 (log (* 2.0 (* n PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.0026041666666666665 (* (pow (log (* 2.0 (* n PI))) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25))) 15.337 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 (* n 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 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 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 (* n PI))) 2) (pow (* (pow PI 1.0) (* (pow n 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 (* n PI))) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25))) (pow (* 2.0 PI) 0.25))))) into (- (+ (* 0.0078125 (* (* (log (* 2.0 PI)) (pow (log (* 2.0 (* n PI))) 2)) (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (pow n 1.0) 0.25)))) (+ (* 0.0026041666666666665 (* (pow (log (* 2.0 PI)) 3) (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (pow n 1.0) 0.25)))) (+ (* 0.0078125 (* (* (pow (log (* 2.0 PI)) 2) (log (* 2.0 (* n PI)))) (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (pow n 1.0) 0.25)))) (* 0.0026041666666666665 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (pow (pow n 1.0) 0.25) (pow (log (* 2.0 (* n PI))) 3)))))))) 15.341 * [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 15.341 * [backup-simplify]: Simplify (- 0) into 0 15.342 * [backup-simplify]: Simplify (+ 0 0) into 0 15.343 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 15.345 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* (- 0.25) 0) (+ (* 0 0) (* 0 (log n))))) into 0 15.347 * [backup-simplify]: Simplify (* (exp (* 0.25 (log n))) (+ (* (/ (pow (- (* 0.25 (log n))) 3) 6)) (* (/ (pow (- (* 0.25 (log n))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.0026041666666666665 (* (pow (pow n 1.0) 0.25) (pow (log n) 3))) 15.393 * [backup-simplify]: Simplify (+ (* (pow n 0.25) (- (+ (* 0.0078125 (* (* (log (* 2.0 PI)) (pow (log (* 2.0 (* n PI))) 2)) (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (pow n 1.0) 0.25)))) (+ (* 0.0026041666666666665 (* (pow (log (* 2.0 PI)) 3) (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (pow n 1.0) 0.25)))) (+ (* 0.0078125 (* (* (pow (log (* 2.0 PI)) 2) (log (* 2.0 (* n PI)))) (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (pow n 1.0) 0.25)))) (* 0.0026041666666666665 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (pow (pow n 1.0) 0.25) (pow (log (* 2.0 (* n PI))) 3))))))))) (+ (* (* -0.25 (* (pow (pow n 1.0) 0.25) (log n))) (+ (* 0.03125 (* (pow (log (* 2.0 PI)) 2) (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (pow n 1.0) 0.25)))) (+ (* 0.0625 (* (* (log (* 2.0 PI)) (log (* 2.0 (* n PI)))) (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (pow n 1.0) 0.25)))) (* 0.03125 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (pow (pow n 1.0) 0.25) (pow (log (* 2.0 (* n PI))) 2))))))) (+ (* (* 0.03125 (* (pow (pow n 1.0) 0.25) (pow (log n) 2))) (- (+ (* 0.25 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (pow (pow n 1.0) 0.25) (log (* 2.0 (* n PI)))))) (* 0.25 (* (log (* 2.0 PI)) (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (pow n 1.0) 0.25))))))) (* (* -0.0026041666666666665 (* (pow (pow n 1.0) 0.25) (pow (log n) 3))) (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (pow n 1.0) 0.25)))))) into (- (+ (* 0.0078125 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (log n) (pow (log (* 2.0 (* n PI))) 2)))) (+ (* 0.0078125 (* (* (log (* 2.0 PI)) (pow (log n) 2)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (+ (* 0.0026041666666666665 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.0078125 (* (* (pow (log (* 2.0 PI)) 2) (log (* 2.0 (* n PI)))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (+ (* 0.0078125 (* (* (log (* 2.0 PI)) (pow (log (* 2.0 (* n PI))) 2)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (+ (* 0.0026041666666666665 (* (pow (log (* 2.0 (* n PI))) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.0078125 (* (* (pow (log n) 2) (log (* 2.0 (* n PI)))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.0078125 (* (* (pow (log (* 2.0 PI)) 2) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (+ (* 0.0026041666666666665 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 3))) (* 0.015625 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (log (* 2.0 PI)) (* (log (* 2.0 (* n PI))) (log n))))))))))))))) 15.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.396 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 15.434 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 0.0078125 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (log n) (pow (log (* 2.0 (* n PI))) 2)))) (+ (* 0.0078125 (* (* (log (* 2.0 PI)) (pow (log n) 2)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (+ (* 0.0026041666666666665 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.0078125 (* (* (pow (log (* 2.0 PI)) 2) (log (* 2.0 (* n PI)))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (+ (* 0.0078125 (* (* (log (* 2.0 PI)) (pow (log (* 2.0 (* n PI))) 2)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (+ (* 0.0026041666666666665 (* (pow (log (* 2.0 (* n PI))) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.0078125 (* (* (pow (log n) 2) (log (* 2.0 (* n PI)))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.0078125 (* (* (pow (log (* 2.0 PI)) 2) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (+ (* 0.0026041666666666665 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 3))) (* 0.015625 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (log (* 2.0 PI)) (* (log (* 2.0 (* n PI))) (log n)))))))))))))))) (+ (* +nan.0 (+ (* 0.03125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (+ (* 0.03125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.0625 (* (* (log (* 2.0 PI)) (log (* 2.0 (* n PI)))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (+ (* 0.03125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) (+ (* 0.0625 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.0625 (* (* (log (* 2.0 (* n PI))) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))) (+ (* +nan.0 (- (+ (* 0.25 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.25 (* (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 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)) (- (+ (* +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 (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 PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (log n) (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))) (- (+ (* +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))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log (* 2.0 (* n PI)))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)))))))))))))))))))))) 15.465 * [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))))) (- (+ (* +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 PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (log n) (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))) (- (+ (* +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))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log (* 2.0 (* n PI)))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 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 (* (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) (log n))) (- (+ (* +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 n 1.0) (pow PI 1.0))) 0.5)))))))))) (+ (* 0 (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 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 (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 (* 2.0 (* n PI))))) (- (+ (* +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))) (- (+ (* +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))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log (* 2.0 (* n PI)))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* (log n) (log (* 2.0 (* n PI)))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))))))))))) 15.466 * [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 (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 (* 2.0 (* n PI))))) (- (+ (* +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))) (- (+ (* +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))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log (* 2.0 (* n PI)))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* (log n) (log (* 2.0 (* n PI)))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))))))))))) in n 15.466 * [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 (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 (* 2.0 (* n PI))))) (- (+ (* +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))) (- (+ (* +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))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log (* 2.0 (* n PI)))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* (log n) (log (* 2.0 (* n PI)))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))))))))))))) in n 15.466 * [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 15.466 * [taylor]: Taking taylor expansion of +nan.0 in n 15.466 * [backup-simplify]: Simplify +nan.0 into +nan.0 15.466 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 15.466 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 15.466 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 15.466 * [taylor]: Taking taylor expansion of 0.5 in n 15.466 * [backup-simplify]: Simplify 0.5 into 0.5 15.466 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 15.466 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 15.466 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 15.466 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 15.466 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 15.466 * [taylor]: Taking taylor expansion of 1.0 in n 15.466 * [backup-simplify]: Simplify 1.0 into 1.0 15.467 * [taylor]: Taking taylor expansion of (log PI) in n 15.467 * [taylor]: Taking taylor expansion of PI in n 15.467 * [backup-simplify]: Simplify PI into PI 15.474 * [backup-simplify]: Simplify (log PI) into (log PI) 15.475 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 15.477 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 15.477 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 15.477 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 15.477 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 15.477 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 15.477 * [taylor]: Taking taylor expansion of 1.0 in n 15.477 * [backup-simplify]: Simplify 1.0 into 1.0 15.477 * [taylor]: Taking taylor expansion of (log n) in n 15.477 * [taylor]: Taking taylor expansion of n in n 15.477 * [backup-simplify]: Simplify 0 into 0 15.477 * [backup-simplify]: Simplify 1 into 1 15.478 * [backup-simplify]: Simplify (log 1) into 0 15.478 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 15.478 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 15.478 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 15.478 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 15.478 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 15.479 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 15.479 * [taylor]: Taking taylor expansion of 1.0 in n 15.479 * [backup-simplify]: Simplify 1.0 into 1.0 15.479 * [taylor]: Taking taylor expansion of (log 2.0) in n 15.479 * [taylor]: Taking taylor expansion of 2.0 in n 15.479 * [backup-simplify]: Simplify 2.0 into 2.0 15.479 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 15.481 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 15.482 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 15.483 * [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) 15.485 * [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) 15.486 * [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)) 15.488 * [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))) 15.489 * [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) 15.489 * [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 (* 2.0 (* n PI))))) (- (+ (* +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))) (- (+ (* +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))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log (* 2.0 (* n PI)))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* (log n) (log (* 2.0 (* n PI)))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))))))))) in n 15.489 * [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 (* 2.0 (* n PI))))) (- (+ (* +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))) (- (+ (* +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))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log (* 2.0 (* n PI)))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* (log n) (log (* 2.0 (* n PI)))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))))))))))) in n 15.489 * [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 15.489 * [taylor]: Taking taylor expansion of +nan.0 in n 15.489 * [backup-simplify]: Simplify +nan.0 into +nan.0 15.489 * [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 15.490 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 PI)) 2) in n 15.490 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 15.490 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 15.490 * [taylor]: Taking taylor expansion of 2.0 in n 15.490 * [backup-simplify]: Simplify 2.0 into 2.0 15.490 * [taylor]: Taking taylor expansion of PI in n 15.490 * [backup-simplify]: Simplify PI into PI 15.490 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 15.491 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 15.491 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 15.491 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 15.491 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 15.492 * [taylor]: Taking taylor expansion of 0.5 in n 15.492 * [backup-simplify]: Simplify 0.5 into 0.5 15.492 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 15.492 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 15.492 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 15.492 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 15.492 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 15.492 * [taylor]: Taking taylor expansion of 1.0 in n 15.492 * [backup-simplify]: Simplify 1.0 into 1.0 15.492 * [taylor]: Taking taylor expansion of (log PI) in n 15.492 * [taylor]: Taking taylor expansion of PI in n 15.492 * [backup-simplify]: Simplify PI into PI 15.492 * [backup-simplify]: Simplify (log PI) into (log PI) 15.493 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 15.495 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 15.495 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 15.495 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 15.495 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 15.495 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 15.495 * [taylor]: Taking taylor expansion of 1.0 in n 15.495 * [backup-simplify]: Simplify 1.0 into 1.0 15.495 * [taylor]: Taking taylor expansion of (log n) in n 15.495 * [taylor]: Taking taylor expansion of n in n 15.495 * [backup-simplify]: Simplify 0 into 0 15.495 * [backup-simplify]: Simplify 1 into 1 15.496 * [backup-simplify]: Simplify (log 1) into 0 15.496 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 15.496 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 15.496 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 15.497 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 15.497 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 15.497 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 15.497 * [taylor]: Taking taylor expansion of 1.0 in n 15.497 * [backup-simplify]: Simplify 1.0 into 1.0 15.497 * [taylor]: Taking taylor expansion of (log 2.0) in n 15.497 * [taylor]: Taking taylor expansion of 2.0 in n 15.497 * [backup-simplify]: Simplify 2.0 into 2.0 15.497 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 15.498 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 15.499 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 15.500 * [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) 15.501 * [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) 15.503 * [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)) 15.504 * [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))) 15.506 * [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) 15.506 * [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) (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))) (- (+ (* +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))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log (* 2.0 (* n PI)))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* (log n) (log (* 2.0 (* n PI)))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))))))) in n 15.506 * [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) (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))) (- (+ (* +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))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log (* 2.0 (* n PI)))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* (log n) (log (* 2.0 (* n PI)))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))))))))) in n 15.506 * [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 15.506 * [taylor]: Taking taylor expansion of +nan.0 in n 15.506 * [backup-simplify]: Simplify +nan.0 into +nan.0 15.507 * [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 15.507 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 15.507 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 15.507 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 15.507 * [taylor]: Taking taylor expansion of 0.5 in n 15.507 * [backup-simplify]: Simplify 0.5 into 0.5 15.507 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 15.507 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 15.507 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 15.507 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 15.507 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 15.507 * [taylor]: Taking taylor expansion of 1.0 in n 15.507 * [backup-simplify]: Simplify 1.0 into 1.0 15.507 * [taylor]: Taking taylor expansion of (log 2.0) in n 15.507 * [taylor]: Taking taylor expansion of 2.0 in n 15.507 * [backup-simplify]: Simplify 2.0 into 2.0 15.508 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 15.509 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 15.511 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 15.511 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 15.511 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 15.511 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 15.511 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 15.511 * [taylor]: Taking taylor expansion of 1.0 in n 15.511 * [backup-simplify]: Simplify 1.0 into 1.0 15.511 * [taylor]: Taking taylor expansion of (log PI) in n 15.511 * [taylor]: Taking taylor expansion of PI in n 15.511 * [backup-simplify]: Simplify PI into PI 15.512 * [backup-simplify]: Simplify (log PI) into (log PI) 15.513 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 15.515 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 15.515 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 15.515 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 15.515 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 15.515 * [taylor]: Taking taylor expansion of 1.0 in n 15.515 * [backup-simplify]: Simplify 1.0 into 1.0 15.515 * [taylor]: Taking taylor expansion of (log n) in n 15.515 * [taylor]: Taking taylor expansion of n in n 15.515 * [backup-simplify]: Simplify 0 into 0 15.515 * [backup-simplify]: Simplify 1 into 1 15.515 * [backup-simplify]: Simplify (log 1) into 0 15.516 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 15.516 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 15.516 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 15.517 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 15.518 * [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) 15.520 * [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)) 15.521 * [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))) 15.523 * [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) 15.523 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 15.523 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 15.523 * [taylor]: Taking taylor expansion of 2.0 in n 15.523 * [backup-simplify]: Simplify 2.0 into 2.0 15.523 * [taylor]: Taking taylor expansion of (* n PI) in n 15.523 * [taylor]: Taking taylor expansion of n in n 15.523 * [backup-simplify]: Simplify 0 into 0 15.523 * [backup-simplify]: Simplify 1 into 1 15.523 * [taylor]: Taking taylor expansion of PI in n 15.523 * [backup-simplify]: Simplify PI into PI 15.524 * [backup-simplify]: Simplify (* 0 PI) into 0 15.524 * [backup-simplify]: Simplify (* 2.0 0) into 0 15.526 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 15.527 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 15.528 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 15.528 * [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))) (- (+ (* +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))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log (* 2.0 (* n PI)))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* (log n) (log (* 2.0 (* n PI)))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))))) in n 15.528 * [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))) (- (+ (* +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))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log (* 2.0 (* n PI)))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* (log n) (log (* 2.0 (* n PI)))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))))))) in n 15.528 * [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 15.528 * [taylor]: Taking taylor expansion of +nan.0 in n 15.528 * [backup-simplify]: Simplify +nan.0 into +nan.0 15.528 * [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 15.528 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 15.528 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 15.529 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 15.529 * [taylor]: Taking taylor expansion of 0.5 in n 15.529 * [backup-simplify]: Simplify 0.5 into 0.5 15.529 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 15.529 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 15.529 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 15.529 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 15.529 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 15.529 * [taylor]: Taking taylor expansion of 1.0 in n 15.529 * [backup-simplify]: Simplify 1.0 into 1.0 15.529 * [taylor]: Taking taylor expansion of (log 2.0) in n 15.529 * [taylor]: Taking taylor expansion of 2.0 in n 15.529 * [backup-simplify]: Simplify 2.0 into 2.0 15.529 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 15.530 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 15.531 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 15.531 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 15.532 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 15.532 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 15.532 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 15.532 * [taylor]: Taking taylor expansion of 1.0 in n 15.532 * [backup-simplify]: Simplify 1.0 into 1.0 15.532 * [taylor]: Taking taylor expansion of (log PI) in n 15.532 * [taylor]: Taking taylor expansion of PI in n 15.532 * [backup-simplify]: Simplify PI into PI 15.532 * [backup-simplify]: Simplify (log PI) into (log PI) 15.533 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 15.534 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 15.535 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 15.535 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 15.535 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 15.535 * [taylor]: Taking taylor expansion of 1.0 in n 15.535 * [backup-simplify]: Simplify 1.0 into 1.0 15.535 * [taylor]: Taking taylor expansion of (log n) in n 15.535 * [taylor]: Taking taylor expansion of n in n 15.535 * [backup-simplify]: Simplify 0 into 0 15.535 * [backup-simplify]: Simplify 1 into 1 15.535 * [backup-simplify]: Simplify (log 1) into 0 15.536 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 15.536 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 15.536 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 15.536 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 15.538 * [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) 15.539 * [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)) 15.540 * [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))) 15.542 * [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) 15.542 * [taylor]: Taking taylor expansion of (log n) in n 15.542 * [taylor]: Taking taylor expansion of n in n 15.542 * [backup-simplify]: Simplify 0 into 0 15.542 * [backup-simplify]: Simplify 1 into 1 15.542 * [backup-simplify]: Simplify (log 1) into 0 15.543 * [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))) (- (+ (* +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))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log (* 2.0 (* n PI)))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* (log n) (log (* 2.0 (* n PI)))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))) in n 15.543 * [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))) (- (+ (* +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))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log (* 2.0 (* n PI)))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* (log n) (log (* 2.0 (* n PI)))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))))) in n 15.543 * [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 15.543 * [taylor]: Taking taylor expansion of +nan.0 in n 15.543 * [backup-simplify]: Simplify +nan.0 into +nan.0 15.543 * [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 15.543 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 15.543 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 15.543 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 15.543 * [taylor]: Taking taylor expansion of 0.5 in n 15.543 * [backup-simplify]: Simplify 0.5 into 0.5 15.543 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 15.543 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 15.543 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 15.543 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 15.543 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 15.543 * [taylor]: Taking taylor expansion of 1.0 in n 15.543 * [backup-simplify]: Simplify 1.0 into 1.0 15.543 * [taylor]: Taking taylor expansion of (log 2.0) in n 15.543 * [taylor]: Taking taylor expansion of 2.0 in n 15.543 * [backup-simplify]: Simplify 2.0 into 2.0 15.544 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 15.545 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 15.546 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 15.546 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 15.546 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 15.546 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 15.546 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 15.547 * [taylor]: Taking taylor expansion of 1.0 in n 15.547 * [backup-simplify]: Simplify 1.0 into 1.0 15.547 * [taylor]: Taking taylor expansion of (log PI) in n 15.547 * [taylor]: Taking taylor expansion of PI in n 15.547 * [backup-simplify]: Simplify PI into PI 15.547 * [backup-simplify]: Simplify (log PI) into (log PI) 15.548 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 15.549 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 15.550 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 15.550 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 15.550 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 15.550 * [taylor]: Taking taylor expansion of 1.0 in n 15.550 * [backup-simplify]: Simplify 1.0 into 1.0 15.550 * [taylor]: Taking taylor expansion of (log n) in n 15.550 * [taylor]: Taking taylor expansion of n in n 15.550 * [backup-simplify]: Simplify 0 into 0 15.550 * [backup-simplify]: Simplify 1 into 1 15.550 * [backup-simplify]: Simplify (log 1) into 0 15.551 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 15.551 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 15.551 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 15.552 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 15.553 * [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) 15.555 * [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)) 15.556 * [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))) 15.558 * [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) 15.558 * [taylor]: Taking taylor expansion of (pow (log n) 2) in n 15.558 * [taylor]: Taking taylor expansion of (log n) in n 15.558 * [taylor]: Taking taylor expansion of n in n 15.558 * [backup-simplify]: Simplify 0 into 0 15.558 * [backup-simplify]: Simplify 1 into 1 15.559 * [backup-simplify]: Simplify (log 1) into 0 15.559 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 15.559 * [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))) (- (+ (* +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))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log (* 2.0 (* n PI)))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* (log n) (log (* 2.0 (* n PI)))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) in n 15.559 * [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))) (- (+ (* +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))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log (* 2.0 (* n PI)))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* (log n) (log (* 2.0 (* n PI)))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))) in n 15.559 * [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 15.559 * [taylor]: Taking taylor expansion of +nan.0 in n 15.559 * [backup-simplify]: Simplify +nan.0 into +nan.0 15.560 * [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 15.560 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 15.560 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 15.560 * [taylor]: Taking taylor expansion of 2.0 in n 15.560 * [backup-simplify]: Simplify 2.0 into 2.0 15.560 * [taylor]: Taking taylor expansion of PI in n 15.560 * [backup-simplify]: Simplify PI into PI 15.560 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 15.562 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 15.562 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 15.562 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 15.562 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 15.562 * [taylor]: Taking taylor expansion of 0.5 in n 15.562 * [backup-simplify]: Simplify 0.5 into 0.5 15.562 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 15.562 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 15.562 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 15.562 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 15.562 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 15.562 * [taylor]: Taking taylor expansion of 1.0 in n 15.562 * [backup-simplify]: Simplify 1.0 into 1.0 15.562 * [taylor]: Taking taylor expansion of (log PI) in n 15.562 * [taylor]: Taking taylor expansion of PI in n 15.562 * [backup-simplify]: Simplify PI into PI 15.563 * [backup-simplify]: Simplify (log PI) into (log PI) 15.563 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 15.565 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 15.565 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 15.565 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 15.565 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 15.565 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 15.565 * [taylor]: Taking taylor expansion of 1.0 in n 15.565 * [backup-simplify]: Simplify 1.0 into 1.0 15.565 * [taylor]: Taking taylor expansion of (log n) in n 15.565 * [taylor]: Taking taylor expansion of n in n 15.565 * [backup-simplify]: Simplify 0 into 0 15.565 * [backup-simplify]: Simplify 1 into 1 15.566 * [backup-simplify]: Simplify (log 1) into 0 15.566 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 15.566 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 15.566 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 15.566 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 15.566 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 15.566 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 15.566 * [taylor]: Taking taylor expansion of 1.0 in n 15.566 * [backup-simplify]: Simplify 1.0 into 1.0 15.566 * [taylor]: Taking taylor expansion of (log 2.0) in n 15.566 * [taylor]: Taking taylor expansion of 2.0 in n 15.566 * [backup-simplify]: Simplify 2.0 into 2.0 15.567 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 15.568 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 15.569 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 15.569 * [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) 15.571 * [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) 15.573 * [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)) 15.574 * [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))) 15.576 * [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) 15.576 * [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))) (- (+ (* +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))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log (* 2.0 (* n PI)))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* (log n) (log (* 2.0 (* n PI)))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))) in n 15.576 * [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))) (- (+ (* +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))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log (* 2.0 (* n PI)))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* (log n) (log (* 2.0 (* n PI)))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))) in n 15.576 * [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 15.576 * [taylor]: Taking taylor expansion of +nan.0 in n 15.576 * [backup-simplify]: Simplify +nan.0 into +nan.0 15.576 * [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 15.576 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (log n)) in n 15.576 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 15.576 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 15.576 * [taylor]: Taking taylor expansion of 2.0 in n 15.576 * [backup-simplify]: Simplify 2.0 into 2.0 15.576 * [taylor]: Taking taylor expansion of PI in n 15.577 * [backup-simplify]: Simplify PI into PI 15.577 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 15.578 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 15.578 * [taylor]: Taking taylor expansion of (log n) in n 15.578 * [taylor]: Taking taylor expansion of n in n 15.578 * [backup-simplify]: Simplify 0 into 0 15.578 * [backup-simplify]: Simplify 1 into 1 15.579 * [backup-simplify]: Simplify (log 1) into 0 15.579 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) in n 15.579 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))))) in n 15.579 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))))) in n 15.579 * [taylor]: Taking taylor expansion of 0.5 in n 15.579 * [backup-simplify]: Simplify 0.5 into 0.5 15.579 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) in n 15.579 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) in n 15.579 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 15.579 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 15.579 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 15.579 * [taylor]: Taking taylor expansion of 1.0 in n 15.579 * [backup-simplify]: Simplify 1.0 into 1.0 15.579 * [taylor]: Taking taylor expansion of (log PI) in n 15.579 * [taylor]: Taking taylor expansion of PI in n 15.579 * [backup-simplify]: Simplify PI into PI 15.580 * [backup-simplify]: Simplify (log PI) into (log PI) 15.581 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 15.582 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 15.582 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow n 1.0)) in n 15.582 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 15.582 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 15.582 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 15.582 * [taylor]: Taking taylor expansion of 1.0 in n 15.582 * [backup-simplify]: Simplify 1.0 into 1.0 15.582 * [taylor]: Taking taylor expansion of (log 2.0) in n 15.582 * [taylor]: Taking taylor expansion of 2.0 in n 15.583 * [backup-simplify]: Simplify 2.0 into 2.0 15.583 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 15.584 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 15.585 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 15.585 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 15.585 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 15.585 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 15.585 * [taylor]: Taking taylor expansion of 1.0 in n 15.585 * [backup-simplify]: Simplify 1.0 into 1.0 15.585 * [taylor]: Taking taylor expansion of (log n) in n 15.585 * [taylor]: Taking taylor expansion of n in n 15.585 * [backup-simplify]: Simplify 0 into 0 15.585 * [backup-simplify]: Simplify 1 into 1 15.585 * [backup-simplify]: Simplify (log 1) into 0 15.586 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 15.586 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 15.586 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 15.587 * [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) 15.587 * [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) 15.588 * [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)) 15.589 * [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))) 15.590 * [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) 15.590 * [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))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log (* 2.0 (* n PI)))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* (log n) (log (* 2.0 (* n PI)))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))) in n 15.590 * [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))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log (* 2.0 (* n PI)))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* (log n) (log (* 2.0 (* n PI)))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))) in n 15.590 * [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 15.590 * [taylor]: Taking taylor expansion of +nan.0 in n 15.590 * [backup-simplify]: Simplify +nan.0 into +nan.0 15.590 * [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 15.590 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 15.590 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 15.590 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 15.590 * [taylor]: Taking taylor expansion of 0.5 in n 15.590 * [backup-simplify]: Simplify 0.5 into 0.5 15.590 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 15.590 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 15.590 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 15.590 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 15.590 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 15.590 * [taylor]: Taking taylor expansion of 1.0 in n 15.590 * [backup-simplify]: Simplify 1.0 into 1.0 15.590 * [taylor]: Taking taylor expansion of (log 2.0) in n 15.590 * [taylor]: Taking taylor expansion of 2.0 in n 15.590 * [backup-simplify]: Simplify 2.0 into 2.0 15.590 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 15.591 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 15.592 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 15.592 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 15.592 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 15.592 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 15.592 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 15.592 * [taylor]: Taking taylor expansion of 1.0 in n 15.592 * [backup-simplify]: Simplify 1.0 into 1.0 15.592 * [taylor]: Taking taylor expansion of (log PI) in n 15.592 * [taylor]: Taking taylor expansion of PI in n 15.592 * [backup-simplify]: Simplify PI into PI 15.592 * [backup-simplify]: Simplify (log PI) into (log PI) 15.593 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 15.594 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 15.594 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 15.594 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 15.594 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 15.594 * [taylor]: Taking taylor expansion of 1.0 in n 15.594 * [backup-simplify]: Simplify 1.0 into 1.0 15.594 * [taylor]: Taking taylor expansion of (log n) in n 15.594 * [taylor]: Taking taylor expansion of n in n 15.594 * [backup-simplify]: Simplify 0 into 0 15.594 * [backup-simplify]: Simplify 1 into 1 15.594 * [backup-simplify]: Simplify (log 1) into 0 15.595 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 15.595 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 15.595 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 15.595 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 15.596 * [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) 15.597 * [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)) 15.597 * [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))) 15.598 * [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) 15.598 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 15.598 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 15.598 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 15.598 * [taylor]: Taking taylor expansion of 2.0 in n 15.598 * [backup-simplify]: Simplify 2.0 into 2.0 15.598 * [taylor]: Taking taylor expansion of (* n PI) in n 15.598 * [taylor]: Taking taylor expansion of n in n 15.598 * [backup-simplify]: Simplify 0 into 0 15.598 * [backup-simplify]: Simplify 1 into 1 15.599 * [taylor]: Taking taylor expansion of PI in n 15.599 * [backup-simplify]: Simplify PI into PI 15.599 * [backup-simplify]: Simplify (* 0 PI) into 0 15.599 * [backup-simplify]: Simplify (* 2.0 0) into 0 15.600 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 15.601 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 15.602 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 15.602 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 15.602 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log (* 2.0 (* n PI)))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* (log n) (log (* 2.0 (* n PI)))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))) in n 15.602 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log (* 2.0 (* n PI)))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* (log n) (log (* 2.0 (* n PI)))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) in n 15.602 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (log (* 2.0 PI)) (log (* 2.0 (* n PI)))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) in n 15.603 * [taylor]: Taking taylor expansion of +nan.0 in n 15.603 * [backup-simplify]: Simplify +nan.0 into +nan.0 15.603 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 PI)) (log (* 2.0 (* n PI)))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)) in n 15.603 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (log (* 2.0 (* n PI)))) in n 15.603 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 15.603 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 15.603 * [taylor]: Taking taylor expansion of 2.0 in n 15.603 * [backup-simplify]: Simplify 2.0 into 2.0 15.603 * [taylor]: Taking taylor expansion of PI in n 15.603 * [backup-simplify]: Simplify PI into PI 15.603 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 15.604 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 15.604 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 15.604 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 15.604 * [taylor]: Taking taylor expansion of 2.0 in n 15.604 * [backup-simplify]: Simplify 2.0 into 2.0 15.604 * [taylor]: Taking taylor expansion of (* n PI) in n 15.604 * [taylor]: Taking taylor expansion of n in n 15.604 * [backup-simplify]: Simplify 0 into 0 15.604 * [backup-simplify]: Simplify 1 into 1 15.604 * [taylor]: Taking taylor expansion of PI in n 15.604 * [backup-simplify]: Simplify PI into PI 15.604 * [backup-simplify]: Simplify (* 0 PI) into 0 15.604 * [backup-simplify]: Simplify (* 2.0 0) into 0 15.605 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 15.606 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 15.607 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 15.607 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) in n 15.607 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))))) in n 15.607 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))))) in n 15.607 * [taylor]: Taking taylor expansion of 0.5 in n 15.607 * [backup-simplify]: Simplify 0.5 into 0.5 15.607 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) in n 15.607 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) in n 15.607 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 15.607 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 15.607 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 15.607 * [taylor]: Taking taylor expansion of 1.0 in n 15.607 * [backup-simplify]: Simplify 1.0 into 1.0 15.607 * [taylor]: Taking taylor expansion of (log PI) in n 15.607 * [taylor]: Taking taylor expansion of PI in n 15.607 * [backup-simplify]: Simplify PI into PI 15.607 * [backup-simplify]: Simplify (log PI) into (log PI) 15.608 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 15.609 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 15.609 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow n 1.0)) in n 15.609 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 15.609 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 15.609 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 15.609 * [taylor]: Taking taylor expansion of 1.0 in n 15.609 * [backup-simplify]: Simplify 1.0 into 1.0 15.609 * [taylor]: Taking taylor expansion of (log 2.0) in n 15.609 * [taylor]: Taking taylor expansion of 2.0 in n 15.609 * [backup-simplify]: Simplify 2.0 into 2.0 15.609 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 15.610 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 15.611 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 15.611 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 15.611 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 15.611 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 15.611 * [taylor]: Taking taylor expansion of 1.0 in n 15.611 * [backup-simplify]: Simplify 1.0 into 1.0 15.611 * [taylor]: Taking taylor expansion of (log n) in n 15.611 * [taylor]: Taking taylor expansion of n in n 15.611 * [backup-simplify]: Simplify 0 into 0 15.611 * [backup-simplify]: Simplify 1 into 1 15.611 * [backup-simplify]: Simplify (log 1) into 0 15.611 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 15.612 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 15.612 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 15.612 * [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) 15.613 * [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) 15.614 * [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)) 15.614 * [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))) 15.621 * [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) 15.621 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (log n) (log (* 2.0 (* n PI)))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) in n 15.621 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (log n) (log (* 2.0 (* n PI)))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 15.621 * [taylor]: Taking taylor expansion of +nan.0 in n 15.621 * [backup-simplify]: Simplify +nan.0 into +nan.0 15.621 * [taylor]: Taking taylor expansion of (* (* (log n) (log (* 2.0 (* n PI)))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 15.621 * [taylor]: Taking taylor expansion of (* (log n) (log (* 2.0 (* n PI)))) in n 15.621 * [taylor]: Taking taylor expansion of (log n) in n 15.621 * [taylor]: Taking taylor expansion of n in n 15.621 * [backup-simplify]: Simplify 0 into 0 15.621 * [backup-simplify]: Simplify 1 into 1 15.622 * [backup-simplify]: Simplify (log 1) into 0 15.622 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 15.622 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 15.622 * [taylor]: Taking taylor expansion of 2.0 in n 15.622 * [backup-simplify]: Simplify 2.0 into 2.0 15.622 * [taylor]: Taking taylor expansion of (* n PI) in n 15.622 * [taylor]: Taking taylor expansion of n in n 15.622 * [backup-simplify]: Simplify 0 into 0 15.622 * [backup-simplify]: Simplify 1 into 1 15.622 * [taylor]: Taking taylor expansion of PI in n 15.622 * [backup-simplify]: Simplify PI into PI 15.622 * [backup-simplify]: Simplify (* 0 PI) into 0 15.622 * [backup-simplify]: Simplify (* 2.0 0) into 0 15.623 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 15.624 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 15.625 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 15.625 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 15.625 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 15.625 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 15.625 * [taylor]: Taking taylor expansion of 0.5 in n 15.625 * [backup-simplify]: Simplify 0.5 into 0.5 15.625 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 15.625 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 15.626 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 15.626 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 15.626 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 15.626 * [taylor]: Taking taylor expansion of 1.0 in n 15.626 * [backup-simplify]: Simplify 1.0 into 1.0 15.626 * [taylor]: Taking taylor expansion of (log 2.0) in n 15.626 * [taylor]: Taking taylor expansion of 2.0 in n 15.626 * [backup-simplify]: Simplify 2.0 into 2.0 15.626 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 15.627 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 15.629 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 15.629 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 15.629 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 15.629 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 15.629 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 15.629 * [taylor]: Taking taylor expansion of 1.0 in n 15.629 * [backup-simplify]: Simplify 1.0 into 1.0 15.629 * [taylor]: Taking taylor expansion of (log n) in n 15.629 * [taylor]: Taking taylor expansion of n in n 15.629 * [backup-simplify]: Simplify 0 into 0 15.629 * [backup-simplify]: Simplify 1 into 1 15.629 * [backup-simplify]: Simplify (log 1) into 0 15.630 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 15.630 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 15.630 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 15.630 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 15.630 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 15.630 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 15.630 * [taylor]: Taking taylor expansion of 1.0 in n 15.630 * [backup-simplify]: Simplify 1.0 into 1.0 15.630 * [taylor]: Taking taylor expansion of (log PI) in n 15.630 * [taylor]: Taking taylor expansion of PI in n 15.630 * [backup-simplify]: Simplify PI into PI 15.631 * [backup-simplify]: Simplify (log PI) into (log PI) 15.632 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 15.634 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 15.634 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 15.636 * [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) 15.637 * [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)) 15.638 * [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))) 15.640 * [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) 15.642 * [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)) 15.645 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (log (* 2.0 PI))) into (pow (log (* 2.0 PI)) 2) 15.648 * [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)) 15.652 * [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))) 15.653 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 15.656 * [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)) 15.658 * [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))) 15.659 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 15.660 * [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)) 15.662 * [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))) 15.662 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 15.663 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 15.663 * [backup-simplify]: Simplify (* (log n) (log n)) into (pow (log n) 2) 15.665 * [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)) 15.666 * [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))) 15.669 * [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)) 15.671 * [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))) 15.672 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 15.673 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (log n)) into (* (log (* 2.0 PI)) (log n)) 15.675 * [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)) 15.677 * [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))) 15.679 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 15.680 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 15.682 * [backup-simplify]: Simplify (* (+ (log (* 2.0 PI)) (log n)) (+ (log (* 2.0 PI)) (log n))) into (pow (+ (log (* 2.0 PI)) (log n)) 2) 15.684 * [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)) 15.687 * [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))) 15.688 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 15.690 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (+ (log (* 2.0 PI)) (log n))) into (* (+ (log (* 2.0 PI)) (log n)) (log (* 2.0 PI))) 15.693 * [backup-simplify]: Simplify (* (* (+ (log (* 2.0 PI)) (log n)) (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)) (log n)) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 15.697 * [backup-simplify]: Simplify (* +nan.0 (* (* (+ (log (* 2.0 PI)) (log n)) (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)) (log n)) (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 15.697 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 15.698 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 15.699 * [backup-simplify]: Simplify (* (log n) (+ (log (* 2.0 PI)) (log n))) into (* (+ (log (* 2.0 PI)) (log n)) (log n)) 15.702 * [backup-simplify]: Simplify (* (* (+ (log (* 2.0 PI)) (log n)) (log n)) (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 (* (* (+ (log (* 2.0 PI)) (log n)) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) 15.704 * [backup-simplify]: Simplify (* +nan.0 (* (* (+ (log (* 2.0 PI)) (log n)) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) into (* +nan.0 (* (* (+ (log (* 2.0 PI)) (log n)) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) 15.706 * [backup-simplify]: Simplify (- (* +nan.0 (* (* (+ (log (* 2.0 PI)) (log n)) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 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)))))) 15.714 * [backup-simplify]: Simplify (+ (* +nan.0 (* (* (+ (log (* 2.0 PI)) (log n)) (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))))))) 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 (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))) 15.724 * [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 (* 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)))))))) 15.735 * [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))) (- (+ (* +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))))))))) 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 (* 2.0 PI)) 2) (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)))))))))) 15.742 * [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 (* (* (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 (* 2.0 PI)) 2) (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 (* 2.0 PI)) 2) (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 (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)))))))))) 15.751 * [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))) (- (+ (* +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 (* 2.0 PI)) 2) (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)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 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 (* 2.0 PI)) 2) (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)))))))))) 15.769 * [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 (* (* (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 (* 2.0 PI)) 2) (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 (* 2.0 PI)) 2) (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 (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)))))))))) 15.785 * [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 (* 2.0 PI)) 2) (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 (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 (* (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 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 (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)))))))))))) 15.802 * [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 (* (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 (* 2.0 PI)) 2) (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)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 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)) (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 (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)))))))))))) 15.821 * [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 (* (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 (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 (* (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 (* 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 (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))))))) 15.832 * [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 (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 (* 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 (* (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 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)))))))))))) 15.843 * [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 (* (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 (* 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 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 (* (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 (* 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)))))))))))))) 15.859 * [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 (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 (* (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 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)))))))))))))) 15.878 * [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 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 (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 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 2.0 1.0) (* (pow n 1.0) (pow PI 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 (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 (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)))))))))))))))) 15.895 * [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 (* 2.0 PI)) 2) (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 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)) (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 (* (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 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))) (- (+ (* +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)))))))))))))))) 15.911 * [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 (* (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 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))) (- (+ (* +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))))))))))))))))) 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 (* (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))) (- (+ (* +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)))))))))))))))) 15.935 * [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 (* 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))) (- (+ (* +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))))))))))))))))) 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 (* (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))) (- (+ (* +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)))))))))))))))) 15.964 * [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 (* (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))) (- (+ (* +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))))))))))))))))) 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 (* (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))) (- (+ (* +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 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))))))))) 15.991 * [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 (* 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))) (- (+ (* +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 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 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 (* (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))) (- (+ (* +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 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))))))))) 16.010 * [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 (* 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))) (- (+ (* +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 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 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 (* (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 (* (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 (* (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)))))))))))))))))) 16.039 * [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 (* 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 (* (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 (* (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)))))))))))))))))) (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 (* 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)))))))))) (* 1 k)) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) into (- (+ (* +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 n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 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 k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (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))) (- (+ (* +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 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow 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 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 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)))))))))))))))))))))))))))) 16.041 * [backup-simplify]: Simplify (* (* (* (/ 1.0 (sqrt (/ 1 k))) (pow (* (* 2.0 PI) (/ 1 n)) (/ (/ (- 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) 2))) into (* 1.0 (* (sqrt k) (* (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) (* (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))))))) 16.041 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) (* (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))))))) in (k n) around 0 16.041 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) (* (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))))))) in n 16.041 * [taylor]: Taking taylor expansion of 1.0 in n 16.041 * [backup-simplify]: Simplify 1.0 into 1.0 16.041 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) (* (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k))))))) in n 16.042 * [taylor]: Taking taylor expansion of (sqrt k) in n 16.042 * [taylor]: Taking taylor expansion of k in n 16.042 * [backup-simplify]: Simplify k into k 16.042 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 16.042 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 16.042 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) (* (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))))) in n 16.042 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in n 16.042 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 16.042 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 16.042 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 16.042 * [taylor]: Taking taylor expansion of 0.25 in n 16.042 * [backup-simplify]: Simplify 0.25 into 0.25 16.042 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 16.042 * [taylor]: Taking taylor expansion of 1.0 in n 16.042 * [backup-simplify]: Simplify 1.0 into 1.0 16.042 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.042 * [taylor]: Taking taylor expansion of k in n 16.042 * [backup-simplify]: Simplify k into k 16.042 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.042 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 16.042 * [taylor]: Taking taylor expansion of (/ 1 n) in n 16.042 * [taylor]: Taking taylor expansion of n in n 16.042 * [backup-simplify]: Simplify 0 into 0 16.042 * [backup-simplify]: Simplify 1 into 1 16.043 * [backup-simplify]: Simplify (/ 1 1) into 1 16.043 * [backup-simplify]: Simplify (log 1) into 0 16.043 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 16.043 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 16.044 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 16.044 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 16.044 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.25 (* (log n) (- 1.0 (/ 1 k)))) 16.045 * [backup-simplify]: Simplify (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 16.045 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k))))) in n 16.045 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) in n 16.045 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in n 16.045 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in n 16.045 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 16.045 * [taylor]: Taking taylor expansion of 0.25 in n 16.045 * [backup-simplify]: Simplify 0.25 into 0.25 16.045 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 16.045 * [taylor]: Taking taylor expansion of 1.0 in n 16.045 * [backup-simplify]: Simplify 1.0 into 1.0 16.045 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.045 * [taylor]: Taking taylor expansion of k in n 16.045 * [backup-simplify]: Simplify k into k 16.045 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.045 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 16.045 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 16.045 * [taylor]: Taking taylor expansion of 2.0 in n 16.045 * [backup-simplify]: Simplify 2.0 into 2.0 16.045 * [taylor]: Taking taylor expansion of PI in n 16.045 * [backup-simplify]: Simplify PI into PI 16.046 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.047 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.047 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 16.047 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 16.047 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 16.048 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) into (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) 16.049 * [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))))) 16.049 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 16.050 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 16.050 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 16.050 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 16.050 * [taylor]: Taking taylor expansion of 0.25 in n 16.050 * [backup-simplify]: Simplify 0.25 into 0.25 16.050 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 16.050 * [taylor]: Taking taylor expansion of 1.0 in n 16.050 * [backup-simplify]: Simplify 1.0 into 1.0 16.050 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.050 * [taylor]: Taking taylor expansion of k in n 16.050 * [backup-simplify]: Simplify k into k 16.050 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.050 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 16.050 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 16.050 * [taylor]: Taking taylor expansion of 2.0 in n 16.050 * [backup-simplify]: Simplify 2.0 into 2.0 16.050 * [taylor]: Taking taylor expansion of (/ PI n) in n 16.050 * [taylor]: Taking taylor expansion of PI in n 16.050 * [backup-simplify]: Simplify PI into PI 16.050 * [taylor]: Taking taylor expansion of n in n 16.050 * [backup-simplify]: Simplify 0 into 0 16.050 * [backup-simplify]: Simplify 1 into 1 16.051 * [backup-simplify]: Simplify (/ PI 1) into PI 16.051 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.052 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.052 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 16.052 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 16.053 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 16.054 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 16.055 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 16.057 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 16.057 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) (* (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))))))) in k 16.057 * [taylor]: Taking taylor expansion of 1.0 in k 16.057 * [backup-simplify]: Simplify 1.0 into 1.0 16.057 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) (* (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k))))))) in k 16.057 * [taylor]: Taking taylor expansion of (sqrt k) in k 16.057 * [taylor]: Taking taylor expansion of k in k 16.057 * [backup-simplify]: Simplify 0 into 0 16.057 * [backup-simplify]: Simplify 1 into 1 16.057 * [backup-simplify]: Simplify (sqrt 0) into 0 16.059 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 16.059 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) (* (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))))) in k 16.059 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in k 16.059 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 16.059 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 16.059 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 16.059 * [taylor]: Taking taylor expansion of 0.25 in k 16.059 * [backup-simplify]: Simplify 0.25 into 0.25 16.059 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 16.059 * [taylor]: Taking taylor expansion of 1.0 in k 16.059 * [backup-simplify]: Simplify 1.0 into 1.0 16.059 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.059 * [taylor]: Taking taylor expansion of k in k 16.059 * [backup-simplify]: Simplify 0 into 0 16.059 * [backup-simplify]: Simplify 1 into 1 16.060 * [backup-simplify]: Simplify (/ 1 1) into 1 16.060 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 16.060 * [taylor]: Taking taylor expansion of (/ 1 n) in k 16.060 * [taylor]: Taking taylor expansion of n in k 16.060 * [backup-simplify]: Simplify n into n 16.060 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 16.060 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 16.060 * [backup-simplify]: Simplify (- 1) into -1 16.061 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.061 * [backup-simplify]: Simplify (* 0.25 -1) into -0.25 16.061 * [backup-simplify]: Simplify (* -0.25 (log (/ 1 n))) into (* -0.25 (log (/ 1 n))) 16.062 * [backup-simplify]: Simplify (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.25 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 16.062 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k))))) in k 16.062 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) in k 16.062 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 16.062 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 16.062 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 16.062 * [taylor]: Taking taylor expansion of 0.25 in k 16.062 * [backup-simplify]: Simplify 0.25 into 0.25 16.062 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 16.062 * [taylor]: Taking taylor expansion of 1.0 in k 16.062 * [backup-simplify]: Simplify 1.0 into 1.0 16.062 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.062 * [taylor]: Taking taylor expansion of k in k 16.062 * [backup-simplify]: Simplify 0 into 0 16.062 * [backup-simplify]: Simplify 1 into 1 16.063 * [backup-simplify]: Simplify (/ 1 1) into 1 16.063 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 16.063 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 16.063 * [taylor]: Taking taylor expansion of 2.0 in k 16.063 * [backup-simplify]: Simplify 2.0 into 2.0 16.063 * [taylor]: Taking taylor expansion of PI in k 16.063 * [backup-simplify]: Simplify PI into PI 16.063 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.065 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.065 * [backup-simplify]: Simplify (- 1) into -1 16.065 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.066 * [backup-simplify]: Simplify (* 0.25 -1) into -0.25 16.068 * [backup-simplify]: Simplify (* -0.25 (log (* 2.0 PI))) into (* -0.25 (log (* 2.0 PI))) 16.069 * [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))))) 16.069 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 16.069 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 16.069 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 16.069 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 16.069 * [taylor]: Taking taylor expansion of 0.25 in k 16.069 * [backup-simplify]: Simplify 0.25 into 0.25 16.069 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 16.069 * [taylor]: Taking taylor expansion of 1.0 in k 16.069 * [backup-simplify]: Simplify 1.0 into 1.0 16.069 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.069 * [taylor]: Taking taylor expansion of k in k 16.069 * [backup-simplify]: Simplify 0 into 0 16.069 * [backup-simplify]: Simplify 1 into 1 16.070 * [backup-simplify]: Simplify (/ 1 1) into 1 16.070 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 16.070 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 16.070 * [taylor]: Taking taylor expansion of 2.0 in k 16.070 * [backup-simplify]: Simplify 2.0 into 2.0 16.070 * [taylor]: Taking taylor expansion of (/ PI n) in k 16.070 * [taylor]: Taking taylor expansion of PI in k 16.070 * [backup-simplify]: Simplify PI into PI 16.070 * [taylor]: Taking taylor expansion of n in k 16.070 * [backup-simplify]: Simplify n into n 16.070 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 16.070 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 16.070 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 16.071 * [backup-simplify]: Simplify (- 1) into -1 16.071 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.072 * [backup-simplify]: Simplify (* 0.25 -1) into -0.25 16.072 * [backup-simplify]: Simplify (* -0.25 (log (* 2.0 (/ PI n)))) into (* -0.25 (log (* 2.0 (/ PI n)))) 16.072 * [backup-simplify]: Simplify (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 16.072 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) (* (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))))))) in k 16.072 * [taylor]: Taking taylor expansion of 1.0 in k 16.072 * [backup-simplify]: Simplify 1.0 into 1.0 16.072 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) (* (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k))))))) in k 16.072 * [taylor]: Taking taylor expansion of (sqrt k) in k 16.072 * [taylor]: Taking taylor expansion of k in k 16.072 * [backup-simplify]: Simplify 0 into 0 16.072 * [backup-simplify]: Simplify 1 into 1 16.073 * [backup-simplify]: Simplify (sqrt 0) into 0 16.073 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 16.073 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) (* (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))))) in k 16.073 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in k 16.073 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 16.074 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 16.074 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 16.074 * [taylor]: Taking taylor expansion of 0.25 in k 16.074 * [backup-simplify]: Simplify 0.25 into 0.25 16.074 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 16.074 * [taylor]: Taking taylor expansion of 1.0 in k 16.074 * [backup-simplify]: Simplify 1.0 into 1.0 16.074 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.074 * [taylor]: Taking taylor expansion of k in k 16.074 * [backup-simplify]: Simplify 0 into 0 16.074 * [backup-simplify]: Simplify 1 into 1 16.074 * [backup-simplify]: Simplify (/ 1 1) into 1 16.074 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 16.074 * [taylor]: Taking taylor expansion of (/ 1 n) in k 16.074 * [taylor]: Taking taylor expansion of n in k 16.074 * [backup-simplify]: Simplify n into n 16.074 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 16.074 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 16.074 * [backup-simplify]: Simplify (- 1) into -1 16.075 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.075 * [backup-simplify]: Simplify (* 0.25 -1) into -0.25 16.075 * [backup-simplify]: Simplify (* -0.25 (log (/ 1 n))) into (* -0.25 (log (/ 1 n))) 16.075 * [backup-simplify]: Simplify (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.25 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 16.075 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k))))) in k 16.075 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) in k 16.075 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 16.075 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 16.075 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 16.075 * [taylor]: Taking taylor expansion of 0.25 in k 16.075 * [backup-simplify]: Simplify 0.25 into 0.25 16.075 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 16.075 * [taylor]: Taking taylor expansion of 1.0 in k 16.075 * [backup-simplify]: Simplify 1.0 into 1.0 16.075 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.075 * [taylor]: Taking taylor expansion of k in k 16.075 * [backup-simplify]: Simplify 0 into 0 16.075 * [backup-simplify]: Simplify 1 into 1 16.076 * [backup-simplify]: Simplify (/ 1 1) into 1 16.076 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 16.076 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 16.076 * [taylor]: Taking taylor expansion of 2.0 in k 16.076 * [backup-simplify]: Simplify 2.0 into 2.0 16.076 * [taylor]: Taking taylor expansion of PI in k 16.076 * [backup-simplify]: Simplify PI into PI 16.076 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.077 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.077 * [backup-simplify]: Simplify (- 1) into -1 16.077 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.077 * [backup-simplify]: Simplify (* 0.25 -1) into -0.25 16.078 * [backup-simplify]: Simplify (* -0.25 (log (* 2.0 PI))) into (* -0.25 (log (* 2.0 PI))) 16.079 * [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))))) 16.079 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 16.079 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 16.079 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 16.079 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 16.079 * [taylor]: Taking taylor expansion of 0.25 in k 16.079 * [backup-simplify]: Simplify 0.25 into 0.25 16.079 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 16.079 * [taylor]: Taking taylor expansion of 1.0 in k 16.079 * [backup-simplify]: Simplify 1.0 into 1.0 16.079 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.079 * [taylor]: Taking taylor expansion of k in k 16.079 * [backup-simplify]: Simplify 0 into 0 16.079 * [backup-simplify]: Simplify 1 into 1 16.080 * [backup-simplify]: Simplify (/ 1 1) into 1 16.080 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 16.080 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 16.080 * [taylor]: Taking taylor expansion of 2.0 in k 16.080 * [backup-simplify]: Simplify 2.0 into 2.0 16.080 * [taylor]: Taking taylor expansion of (/ PI n) in k 16.080 * [taylor]: Taking taylor expansion of PI in k 16.080 * [backup-simplify]: Simplify PI into PI 16.080 * [taylor]: Taking taylor expansion of n in k 16.080 * [backup-simplify]: Simplify n into n 16.080 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 16.080 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 16.080 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 16.080 * [backup-simplify]: Simplify (- 1) into -1 16.080 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.081 * [backup-simplify]: Simplify (* 0.25 -1) into -0.25 16.081 * [backup-simplify]: Simplify (* -0.25 (log (* 2.0 (/ PI n)))) into (* -0.25 (log (* 2.0 (/ PI n)))) 16.081 * [backup-simplify]: Simplify (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 16.082 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) into (* (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) 16.083 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into (* (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))))) 16.084 * [backup-simplify]: Simplify (* 0 (* (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))))))) into 0 16.084 * [backup-simplify]: Simplify (* 1.0 0) into 0 16.084 * [taylor]: Taking taylor expansion of 0 in n 16.084 * [backup-simplify]: Simplify 0 into 0 16.084 * [backup-simplify]: Simplify 0 into 0 16.085 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 0) (* 0 (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) into 0 16.086 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 0) (* 0 (* (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) into 0 16.087 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (* (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))))))) into (- (* +nan.0 (* (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))))))) 16.089 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))))))))) (* 0 0)) into (- (* +nan.0 (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (* (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))))))) 16.089 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (* (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))))))) in n 16.089 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (* (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))))))) in n 16.089 * [taylor]: Taking taylor expansion of +nan.0 in n 16.089 * [backup-simplify]: Simplify +nan.0 into +nan.0 16.089 * [taylor]: Taking taylor expansion of (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (* (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))))) in n 16.089 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 16.089 * [taylor]: Taking taylor expansion of (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 16.089 * [taylor]: Taking taylor expansion of 0.25 in n 16.089 * [backup-simplify]: Simplify 0.25 into 0.25 16.089 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 16.089 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 16.089 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 16.089 * [taylor]: Taking taylor expansion of 2.0 in n 16.089 * [backup-simplify]: Simplify 2.0 into 2.0 16.089 * [taylor]: Taking taylor expansion of PI in n 16.089 * [backup-simplify]: Simplify PI into PI 16.089 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.090 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.090 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 16.090 * [taylor]: Taking taylor expansion of 1.0 in n 16.090 * [backup-simplify]: Simplify 1.0 into 1.0 16.090 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.090 * [taylor]: Taking taylor expansion of k in n 16.090 * [backup-simplify]: Simplify k into k 16.090 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.090 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 16.090 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 16.091 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) into (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) 16.092 * [backup-simplify]: Simplify (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) into (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) 16.092 * [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))))) 16.092 * [taylor]: Taking taylor expansion of (* (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))))) in n 16.092 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 16.092 * [taylor]: Taking taylor expansion of (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 16.093 * [taylor]: Taking taylor expansion of 0.25 in n 16.093 * [backup-simplify]: Simplify 0.25 into 0.25 16.093 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 16.093 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 16.093 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 16.093 * [taylor]: Taking taylor expansion of 2.0 in n 16.093 * [backup-simplify]: Simplify 2.0 into 2.0 16.093 * [taylor]: Taking taylor expansion of (/ PI n) in n 16.093 * [taylor]: Taking taylor expansion of PI in n 16.093 * [backup-simplify]: Simplify PI into PI 16.093 * [taylor]: Taking taylor expansion of n in n 16.093 * [backup-simplify]: Simplify 0 into 0 16.093 * [backup-simplify]: Simplify 1 into 1 16.093 * [backup-simplify]: Simplify (/ PI 1) into PI 16.093 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.094 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.094 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 16.094 * [taylor]: Taking taylor expansion of 1.0 in n 16.094 * [backup-simplify]: Simplify 1.0 into 1.0 16.094 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.094 * [taylor]: Taking taylor expansion of k in n 16.094 * [backup-simplify]: Simplify k into k 16.094 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.095 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 16.095 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 16.095 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 16.096 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 16.097 * [backup-simplify]: Simplify (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) into (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 16.097 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 16.097 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 16.097 * [taylor]: Taking taylor expansion of (* 0.25 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 16.097 * [taylor]: Taking taylor expansion of 0.25 in n 16.098 * [backup-simplify]: Simplify 0.25 into 0.25 16.098 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 16.098 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 16.098 * [taylor]: Taking taylor expansion of (/ 1 n) in n 16.098 * [taylor]: Taking taylor expansion of n in n 16.098 * [backup-simplify]: Simplify 0 into 0 16.098 * [backup-simplify]: Simplify 1 into 1 16.098 * [backup-simplify]: Simplify (/ 1 1) into 1 16.098 * [backup-simplify]: Simplify (log 1) into 0 16.098 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 16.098 * [taylor]: Taking taylor expansion of 1.0 in n 16.098 * [backup-simplify]: Simplify 1.0 into 1.0 16.098 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.098 * [taylor]: Taking taylor expansion of k in n 16.098 * [backup-simplify]: Simplify k into k 16.098 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.099 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 16.099 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 16.099 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 16.099 * [backup-simplify]: Simplify (* (- (log n)) (- 1.0 (/ 1 k))) into (* -1 (* (log n) (- 1.0 (/ 1 k)))) 16.099 * [backup-simplify]: Simplify (* 0.25 (* -1 (* (log n) (- 1.0 (/ 1 k))))) into (* -0.25 (* (log n) (- 1.0 (/ 1 k)))) 16.099 * [backup-simplify]: Simplify (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 16.100 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k)))))) into (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) 16.102 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 16.104 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) into (* +nan.0 (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) 16.107 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))))) into (- (* +nan.0 (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))))) 16.110 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))))) into (- (* +nan.0 (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))))) 16.110 * [backup-simplify]: Simplify 0 into 0 16.112 * [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 n))) (- 1.0 (/ 1 k)))))))) into 0 16.114 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (* (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))))) into 0 16.117 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 16.120 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (* (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))))))))) into (- (* +nan.0 (* (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))))))) 16.132 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))))))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))))))))) (* 0 0))) into (- (* +nan.0 (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (* (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))))))) 16.132 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (* (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))))))) in n 16.132 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (* (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))))))) in n 16.132 * [taylor]: Taking taylor expansion of +nan.0 in n 16.132 * [backup-simplify]: Simplify +nan.0 into +nan.0 16.132 * [taylor]: Taking taylor expansion of (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (* (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))))) in n 16.132 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 16.132 * [taylor]: Taking taylor expansion of (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 16.132 * [taylor]: Taking taylor expansion of 0.25 in n 16.132 * [backup-simplify]: Simplify 0.25 into 0.25 16.132 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 16.132 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 16.132 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 16.132 * [taylor]: Taking taylor expansion of 2.0 in n 16.132 * [backup-simplify]: Simplify 2.0 into 2.0 16.132 * [taylor]: Taking taylor expansion of PI in n 16.132 * [backup-simplify]: Simplify PI into PI 16.133 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.134 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.134 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 16.134 * [taylor]: Taking taylor expansion of 1.0 in n 16.134 * [backup-simplify]: Simplify 1.0 into 1.0 16.134 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.134 * [taylor]: Taking taylor expansion of k in n 16.134 * [backup-simplify]: Simplify k into k 16.134 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.134 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 16.134 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 16.136 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) into (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) 16.137 * [backup-simplify]: Simplify (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) into (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) 16.138 * [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))))) 16.138 * [taylor]: Taking taylor expansion of (* (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))))) in n 16.138 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 16.138 * [taylor]: Taking taylor expansion of (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 16.139 * [taylor]: Taking taylor expansion of 0.25 in n 16.139 * [backup-simplify]: Simplify 0.25 into 0.25 16.139 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 16.139 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 16.139 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 16.139 * [taylor]: Taking taylor expansion of 2.0 in n 16.139 * [backup-simplify]: Simplify 2.0 into 2.0 16.139 * [taylor]: Taking taylor expansion of (/ PI n) in n 16.139 * [taylor]: Taking taylor expansion of PI in n 16.139 * [backup-simplify]: Simplify PI into PI 16.139 * [taylor]: Taking taylor expansion of n in n 16.139 * [backup-simplify]: Simplify 0 into 0 16.139 * [backup-simplify]: Simplify 1 into 1 16.139 * [backup-simplify]: Simplify (/ PI 1) into PI 16.140 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.141 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.141 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 16.141 * [taylor]: Taking taylor expansion of 1.0 in n 16.141 * [backup-simplify]: Simplify 1.0 into 1.0 16.141 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.141 * [taylor]: Taking taylor expansion of k in n 16.141 * [backup-simplify]: Simplify k into k 16.142 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.143 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 16.143 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 16.143 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 16.144 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 16.146 * [backup-simplify]: Simplify (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) into (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 16.147 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 16.147 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 16.147 * [taylor]: Taking taylor expansion of (* 0.25 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 16.147 * [taylor]: Taking taylor expansion of 0.25 in n 16.147 * [backup-simplify]: Simplify 0.25 into 0.25 16.147 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 16.147 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 16.147 * [taylor]: Taking taylor expansion of (/ 1 n) in n 16.147 * [taylor]: Taking taylor expansion of n in n 16.148 * [backup-simplify]: Simplify 0 into 0 16.148 * [backup-simplify]: Simplify 1 into 1 16.148 * [backup-simplify]: Simplify (/ 1 1) into 1 16.148 * [backup-simplify]: Simplify (log 1) into 0 16.148 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 16.148 * [taylor]: Taking taylor expansion of 1.0 in n 16.149 * [backup-simplify]: Simplify 1.0 into 1.0 16.149 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.149 * [taylor]: Taking taylor expansion of k in n 16.149 * [backup-simplify]: Simplify k into k 16.149 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.149 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 16.149 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 16.149 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 16.150 * [backup-simplify]: Simplify (* (- (log n)) (- 1.0 (/ 1 k))) into (* -1 (* (log n) (- 1.0 (/ 1 k)))) 16.150 * [backup-simplify]: Simplify (* 0.25 (* -1 (* (log n) (- 1.0 (/ 1 k))))) into (* -0.25 (* (log n) (- 1.0 (/ 1 k)))) 16.150 * [backup-simplify]: Simplify (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 16.152 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k)))))) into (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) 16.155 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 16.157 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) into (* +nan.0 (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) 16.162 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))))) into (- (* +nan.0 (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))))) 16.165 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))))) into (- (* +nan.0 (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))))) 16.166 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 16.166 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 16.167 * [backup-simplify]: Simplify (- 0) into 0 16.167 * [backup-simplify]: Simplify (+ 0 0) into 0 16.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.170 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 16.170 * [backup-simplify]: Simplify (+ (* (- (log n)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 16.171 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (* -1 (* (log n) (- 1.0 (/ 1 k)))))) into 0 16.172 * [backup-simplify]: Simplify (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 16.173 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 16.174 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 16.174 * [backup-simplify]: Simplify (- 0) into 0 16.174 * [backup-simplify]: Simplify (+ 0 0) into 0 16.175 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 16.176 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 16.178 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 16.180 * [backup-simplify]: Simplify (+ (* (- (log (* 2.0 PI)) (log n)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 16.181 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into 0 16.184 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 16.185 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 0) (* 0 (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))))) into 0 16.185 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 16.186 * [backup-simplify]: Simplify (- 0) into 0 16.186 * [backup-simplify]: Simplify (+ 0 0) into 0 16.187 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 16.189 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 16.190 * [backup-simplify]: Simplify (+ (* (log (* 2.0 PI)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 16.192 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into 0 16.194 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 16.197 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 0) (* 0 (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) into 0 16.200 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))))) into 0 16.200 * [backup-simplify]: Simplify (- 0) into 0 16.200 * [backup-simplify]: Simplify 0 into 0 16.200 * [backup-simplify]: Simplify 0 into 0 16.203 * [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 n))) (- 1.0 (/ 1 k))))))))) into 0 16.205 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))))) into 0 16.208 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 16.209 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (* (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))))))))) into (- (* +nan.0 (* (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))))))) 16.213 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))))))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))))))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))))))))) (* 0 0)))) into (- (* +nan.0 (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (* (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))))))) 16.213 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (* (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))))))) in n 16.213 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (* (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))))))) in n 16.213 * [taylor]: Taking taylor expansion of +nan.0 in n 16.213 * [backup-simplify]: Simplify +nan.0 into +nan.0 16.213 * [taylor]: Taking taylor expansion of (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (* (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))))) in n 16.213 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 16.213 * [taylor]: Taking taylor expansion of (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 16.213 * [taylor]: Taking taylor expansion of 0.25 in n 16.213 * [backup-simplify]: Simplify 0.25 into 0.25 16.213 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 16.214 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 16.214 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 16.214 * [taylor]: Taking taylor expansion of 2.0 in n 16.214 * [backup-simplify]: Simplify 2.0 into 2.0 16.214 * [taylor]: Taking taylor expansion of PI in n 16.214 * [backup-simplify]: Simplify PI into PI 16.214 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.215 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.215 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 16.215 * [taylor]: Taking taylor expansion of 1.0 in n 16.215 * [backup-simplify]: Simplify 1.0 into 1.0 16.215 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.215 * [taylor]: Taking taylor expansion of k in n 16.215 * [backup-simplify]: Simplify k into k 16.215 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.215 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 16.215 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 16.216 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) into (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) 16.217 * [backup-simplify]: Simplify (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) into (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) 16.217 * [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))))) 16.217 * [taylor]: Taking taylor expansion of (* (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))))) in n 16.217 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 16.217 * [taylor]: Taking taylor expansion of (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 16.217 * [taylor]: Taking taylor expansion of 0.25 in n 16.217 * [backup-simplify]: Simplify 0.25 into 0.25 16.217 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 16.217 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 16.217 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 16.217 * [taylor]: Taking taylor expansion of 2.0 in n 16.217 * [backup-simplify]: Simplify 2.0 into 2.0 16.217 * [taylor]: Taking taylor expansion of (/ PI n) in n 16.218 * [taylor]: Taking taylor expansion of PI in n 16.218 * [backup-simplify]: Simplify PI into PI 16.218 * [taylor]: Taking taylor expansion of n in n 16.218 * [backup-simplify]: Simplify 0 into 0 16.218 * [backup-simplify]: Simplify 1 into 1 16.218 * [backup-simplify]: Simplify (/ PI 1) into PI 16.218 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.219 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.219 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 16.219 * [taylor]: Taking taylor expansion of 1.0 in n 16.219 * [backup-simplify]: Simplify 1.0 into 1.0 16.219 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.219 * [taylor]: Taking taylor expansion of k in n 16.219 * [backup-simplify]: Simplify k into k 16.219 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.220 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 16.220 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 16.220 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 16.221 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 16.222 * [backup-simplify]: Simplify (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) into (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 16.222 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 16.222 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 16.222 * [taylor]: Taking taylor expansion of (* 0.25 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 16.222 * [taylor]: Taking taylor expansion of 0.25 in n 16.222 * [backup-simplify]: Simplify 0.25 into 0.25 16.222 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 16.222 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 16.222 * [taylor]: Taking taylor expansion of (/ 1 n) in n 16.222 * [taylor]: Taking taylor expansion of n in n 16.222 * [backup-simplify]: Simplify 0 into 0 16.223 * [backup-simplify]: Simplify 1 into 1 16.223 * [backup-simplify]: Simplify (/ 1 1) into 1 16.223 * [backup-simplify]: Simplify (log 1) into 0 16.223 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 16.223 * [taylor]: Taking taylor expansion of 1.0 in n 16.223 * [backup-simplify]: Simplify 1.0 into 1.0 16.223 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.223 * [taylor]: Taking taylor expansion of k in n 16.223 * [backup-simplify]: Simplify k into k 16.223 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.223 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 16.224 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 16.224 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 16.224 * [backup-simplify]: Simplify (* (- (log n)) (- 1.0 (/ 1 k))) into (* -1 (* (log n) (- 1.0 (/ 1 k)))) 16.224 * [backup-simplify]: Simplify (* 0.25 (* -1 (* (log n) (- 1.0 (/ 1 k))))) into (* -0.25 (* (log n) (- 1.0 (/ 1 k)))) 16.224 * [backup-simplify]: Simplify (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 16.225 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k)))))) into (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) 16.226 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 16.228 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) into (* +nan.0 (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) 16.230 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))))) into (- (* +nan.0 (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))))) 16.231 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))))) into (- (* +nan.0 (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))))) 16.241 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* -0.25 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))) (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (* (exp (* -0.25 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))) (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (* (exp (* -0.25 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))) (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (* (exp (* -0.25 (* (- 1.0 k) (log (/ 1 n))))) (* (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* -0.25 (* (- 1.0 k) (log (/ 1 n))))) (* (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))))) k)) (- (* +nan.0 (/ (* (exp (* -0.25 (* (- 1.0 k) (log (/ 1 n))))) (* (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))))) (pow k 3)))))))) 16.243 * [backup-simplify]: Simplify (* (* (* (/ 1.0 (sqrt (/ 1 (- k)))) (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (/ (- 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) 2))) into (* 1.0 (/ (* (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) (* (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))))) (sqrt (/ -1 k)))) 16.244 * [approximate]: Taking taylor expansion of (* 1.0 (/ (* (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) (* (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))))) (sqrt (/ -1 k)))) in (k n) around 0 16.244 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) (* (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))))) (sqrt (/ -1 k)))) in n 16.244 * [taylor]: Taking taylor expansion of 1.0 in n 16.244 * [backup-simplify]: Simplify 1.0 into 1.0 16.244 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) (* (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))))) (sqrt (/ -1 k))) in n 16.244 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) (* (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))))) in n 16.244 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in n 16.244 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 16.244 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 16.244 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 16.244 * [taylor]: Taking taylor expansion of 0.25 in n 16.244 * [backup-simplify]: Simplify 0.25 into 0.25 16.244 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 16.244 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.244 * [taylor]: Taking taylor expansion of k in n 16.244 * [backup-simplify]: Simplify k into k 16.244 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.244 * [taylor]: Taking taylor expansion of 1.0 in n 16.244 * [backup-simplify]: Simplify 1.0 into 1.0 16.244 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 16.244 * [taylor]: Taking taylor expansion of (/ -1 n) in n 16.244 * [taylor]: Taking taylor expansion of -1 in n 16.244 * [backup-simplify]: Simplify -1 into -1 16.244 * [taylor]: Taking taylor expansion of n in n 16.244 * [backup-simplify]: Simplify 0 into 0 16.244 * [backup-simplify]: Simplify 1 into 1 16.245 * [backup-simplify]: Simplify (/ -1 1) into -1 16.245 * [backup-simplify]: Simplify (log -1) into (log -1) 16.246 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 16.246 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 16.246 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 16.247 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 16.248 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 16.248 * [taylor]: Taking taylor expansion of (* (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0)))) in n 16.248 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 16.248 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 16.248 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 16.248 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 16.248 * [taylor]: Taking taylor expansion of 0.25 in n 16.248 * [backup-simplify]: Simplify 0.25 into 0.25 16.248 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 16.248 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.248 * [taylor]: Taking taylor expansion of k in n 16.248 * [backup-simplify]: Simplify k into k 16.248 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.248 * [taylor]: Taking taylor expansion of 1.0 in n 16.248 * [backup-simplify]: Simplify 1.0 into 1.0 16.248 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 16.248 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 16.248 * [taylor]: Taking taylor expansion of -2.0 in n 16.248 * [backup-simplify]: Simplify -2.0 into -2.0 16.248 * [taylor]: Taking taylor expansion of (/ PI n) in n 16.248 * [taylor]: Taking taylor expansion of PI in n 16.248 * [backup-simplify]: Simplify PI into PI 16.249 * [taylor]: Taking taylor expansion of n in n 16.249 * [backup-simplify]: Simplify 0 into 0 16.249 * [backup-simplify]: Simplify 1 into 1 16.249 * [backup-simplify]: Simplify (/ PI 1) into PI 16.250 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 16.251 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 16.251 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 16.251 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 16.252 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 16.254 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 16.255 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 16.255 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) in n 16.255 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in n 16.255 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in n 16.255 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 16.255 * [taylor]: Taking taylor expansion of 0.25 in n 16.255 * [backup-simplify]: Simplify 0.25 into 0.25 16.255 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 16.255 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.255 * [taylor]: Taking taylor expansion of k in n 16.255 * [backup-simplify]: Simplify k into k 16.255 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.255 * [taylor]: Taking taylor expansion of 1.0 in n 16.255 * [backup-simplify]: Simplify 1.0 into 1.0 16.255 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 16.255 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 16.255 * [taylor]: Taking taylor expansion of 2.0 in n 16.255 * [backup-simplify]: Simplify 2.0 into 2.0 16.255 * [taylor]: Taking taylor expansion of PI in n 16.255 * [backup-simplify]: Simplify PI into PI 16.256 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.257 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.257 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 16.257 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 16.258 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) into (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) 16.260 * [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)))) 16.260 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 16.260 * [taylor]: Taking taylor expansion of (/ -1 k) in n 16.260 * [taylor]: Taking taylor expansion of -1 in n 16.260 * [backup-simplify]: Simplify -1 into -1 16.260 * [taylor]: Taking taylor expansion of k in n 16.260 * [backup-simplify]: Simplify k into k 16.260 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 16.260 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 16.260 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 16.260 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 16.263 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) 16.266 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) 16.269 * [backup-simplify]: Simplify (/ (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) (sqrt (/ -1 k))) into (/ (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) (sqrt (/ -1 k))) 16.269 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) (* (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))))) (sqrt (/ -1 k)))) in k 16.269 * [taylor]: Taking taylor expansion of 1.0 in k 16.270 * [backup-simplify]: Simplify 1.0 into 1.0 16.270 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) (* (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))))) (sqrt (/ -1 k))) in k 16.270 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) (* (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))))) in k 16.270 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in k 16.270 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 16.270 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 16.270 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 16.270 * [taylor]: Taking taylor expansion of 0.25 in k 16.270 * [backup-simplify]: Simplify 0.25 into 0.25 16.270 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 16.270 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.270 * [taylor]: Taking taylor expansion of k in k 16.270 * [backup-simplify]: Simplify 0 into 0 16.270 * [backup-simplify]: Simplify 1 into 1 16.278 * [backup-simplify]: Simplify (/ 1 1) into 1 16.278 * [taylor]: Taking taylor expansion of 1.0 in k 16.278 * [backup-simplify]: Simplify 1.0 into 1.0 16.278 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 16.278 * [taylor]: Taking taylor expansion of (/ -1 n) in k 16.278 * [taylor]: Taking taylor expansion of -1 in k 16.278 * [backup-simplify]: Simplify -1 into -1 16.278 * [taylor]: Taking taylor expansion of n in k 16.278 * [backup-simplify]: Simplify n into n 16.279 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 16.279 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 16.279 * [backup-simplify]: Simplify (+ 1 0) into 1 16.280 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 16.280 * [backup-simplify]: Simplify (* 0.25 (log (/ -1 n))) into (* 0.25 (log (/ -1 n))) 16.280 * [backup-simplify]: Simplify (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 16.280 * [taylor]: Taking taylor expansion of (* (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0)))) in k 16.280 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 16.280 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 16.280 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 16.281 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 16.281 * [taylor]: Taking taylor expansion of 0.25 in k 16.281 * [backup-simplify]: Simplify 0.25 into 0.25 16.281 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 16.281 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.281 * [taylor]: Taking taylor expansion of k in k 16.281 * [backup-simplify]: Simplify 0 into 0 16.281 * [backup-simplify]: Simplify 1 into 1 16.281 * [backup-simplify]: Simplify (/ 1 1) into 1 16.281 * [taylor]: Taking taylor expansion of 1.0 in k 16.281 * [backup-simplify]: Simplify 1.0 into 1.0 16.281 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 16.281 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 16.281 * [taylor]: Taking taylor expansion of -2.0 in k 16.281 * [backup-simplify]: Simplify -2.0 into -2.0 16.281 * [taylor]: Taking taylor expansion of (/ PI n) in k 16.281 * [taylor]: Taking taylor expansion of PI in k 16.282 * [backup-simplify]: Simplify PI into PI 16.282 * [taylor]: Taking taylor expansion of n in k 16.282 * [backup-simplify]: Simplify n into n 16.282 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 16.282 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 16.282 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 16.282 * [backup-simplify]: Simplify (+ 1 0) into 1 16.283 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 16.283 * [backup-simplify]: Simplify (* 0.25 (log (* -2.0 (/ PI n)))) into (* 0.25 (log (* -2.0 (/ PI n)))) 16.283 * [backup-simplify]: Simplify (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 16.283 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) in k 16.283 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 16.283 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 16.283 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 16.283 * [taylor]: Taking taylor expansion of 0.25 in k 16.284 * [backup-simplify]: Simplify 0.25 into 0.25 16.284 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 16.284 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.284 * [taylor]: Taking taylor expansion of k in k 16.284 * [backup-simplify]: Simplify 0 into 0 16.284 * [backup-simplify]: Simplify 1 into 1 16.284 * [backup-simplify]: Simplify (/ 1 1) into 1 16.284 * [taylor]: Taking taylor expansion of 1.0 in k 16.284 * [backup-simplify]: Simplify 1.0 into 1.0 16.284 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 16.284 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 16.284 * [taylor]: Taking taylor expansion of 2.0 in k 16.284 * [backup-simplify]: Simplify 2.0 into 2.0 16.284 * [taylor]: Taking taylor expansion of PI in k 16.284 * [backup-simplify]: Simplify PI into PI 16.285 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.286 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.287 * [backup-simplify]: Simplify (+ 1 0) into 1 16.287 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 16.289 * [backup-simplify]: Simplify (* 0.25 (log (* 2.0 PI))) into (* 0.25 (log (* 2.0 PI))) 16.290 * [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)))) 16.290 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 16.290 * [taylor]: Taking taylor expansion of (/ -1 k) in k 16.290 * [taylor]: Taking taylor expansion of -1 in k 16.290 * [backup-simplify]: Simplify -1 into -1 16.290 * [taylor]: Taking taylor expansion of k in k 16.290 * [backup-simplify]: Simplify 0 into 0 16.290 * [backup-simplify]: Simplify 1 into 1 16.291 * [backup-simplify]: Simplify (/ -1 1) into -1 16.291 * [backup-simplify]: Simplify (sqrt 0) into 0 16.293 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 16.294 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) 16.295 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) into (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) 16.296 * [backup-simplify]: Simplify (/ (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) +nan.0) into (* +nan.0 (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) 16.296 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) (* (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))))) (sqrt (/ -1 k)))) in k 16.296 * [taylor]: Taking taylor expansion of 1.0 in k 16.296 * [backup-simplify]: Simplify 1.0 into 1.0 16.296 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) (* (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))))) (sqrt (/ -1 k))) in k 16.296 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) (* (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))))) in k 16.296 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in k 16.296 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 16.296 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 16.296 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 16.296 * [taylor]: Taking taylor expansion of 0.25 in k 16.296 * [backup-simplify]: Simplify 0.25 into 0.25 16.296 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 16.296 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.296 * [taylor]: Taking taylor expansion of k in k 16.297 * [backup-simplify]: Simplify 0 into 0 16.297 * [backup-simplify]: Simplify 1 into 1 16.297 * [backup-simplify]: Simplify (/ 1 1) into 1 16.297 * [taylor]: Taking taylor expansion of 1.0 in k 16.297 * [backup-simplify]: Simplify 1.0 into 1.0 16.297 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 16.297 * [taylor]: Taking taylor expansion of (/ -1 n) in k 16.297 * [taylor]: Taking taylor expansion of -1 in k 16.297 * [backup-simplify]: Simplify -1 into -1 16.297 * [taylor]: Taking taylor expansion of n in k 16.297 * [backup-simplify]: Simplify n into n 16.297 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 16.297 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 16.297 * [backup-simplify]: Simplify (+ 1 0) into 1 16.298 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 16.298 * [backup-simplify]: Simplify (* 0.25 (log (/ -1 n))) into (* 0.25 (log (/ -1 n))) 16.298 * [backup-simplify]: Simplify (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 16.298 * [taylor]: Taking taylor expansion of (* (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0)))) in k 16.298 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 16.298 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 16.298 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 16.298 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 16.298 * [taylor]: Taking taylor expansion of 0.25 in k 16.298 * [backup-simplify]: Simplify 0.25 into 0.25 16.298 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 16.298 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.298 * [taylor]: Taking taylor expansion of k in k 16.298 * [backup-simplify]: Simplify 0 into 0 16.298 * [backup-simplify]: Simplify 1 into 1 16.298 * [backup-simplify]: Simplify (/ 1 1) into 1 16.299 * [taylor]: Taking taylor expansion of 1.0 in k 16.299 * [backup-simplify]: Simplify 1.0 into 1.0 16.299 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 16.299 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 16.299 * [taylor]: Taking taylor expansion of -2.0 in k 16.299 * [backup-simplify]: Simplify -2.0 into -2.0 16.299 * [taylor]: Taking taylor expansion of (/ PI n) in k 16.299 * [taylor]: Taking taylor expansion of PI in k 16.299 * [backup-simplify]: Simplify PI into PI 16.299 * [taylor]: Taking taylor expansion of n in k 16.299 * [backup-simplify]: Simplify n into n 16.299 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 16.299 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 16.299 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 16.299 * [backup-simplify]: Simplify (+ 1 0) into 1 16.300 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 16.300 * [backup-simplify]: Simplify (* 0.25 (log (* -2.0 (/ PI n)))) into (* 0.25 (log (* -2.0 (/ PI n)))) 16.300 * [backup-simplify]: Simplify (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 16.300 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) in k 16.300 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 16.300 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 16.300 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 16.300 * [taylor]: Taking taylor expansion of 0.25 in k 16.300 * [backup-simplify]: Simplify 0.25 into 0.25 16.300 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 16.300 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.300 * [taylor]: Taking taylor expansion of k in k 16.300 * [backup-simplify]: Simplify 0 into 0 16.300 * [backup-simplify]: Simplify 1 into 1 16.300 * [backup-simplify]: Simplify (/ 1 1) into 1 16.300 * [taylor]: Taking taylor expansion of 1.0 in k 16.300 * [backup-simplify]: Simplify 1.0 into 1.0 16.300 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 16.300 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 16.300 * [taylor]: Taking taylor expansion of 2.0 in k 16.300 * [backup-simplify]: Simplify 2.0 into 2.0 16.300 * [taylor]: Taking taylor expansion of PI in k 16.300 * [backup-simplify]: Simplify PI into PI 16.301 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.301 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.302 * [backup-simplify]: Simplify (+ 1 0) into 1 16.302 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 16.303 * [backup-simplify]: Simplify (* 0.25 (log (* 2.0 PI))) into (* 0.25 (log (* 2.0 PI))) 16.304 * [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)))) 16.304 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 16.304 * [taylor]: Taking taylor expansion of (/ -1 k) in k 16.304 * [taylor]: Taking taylor expansion of -1 in k 16.304 * [backup-simplify]: Simplify -1 into -1 16.304 * [taylor]: Taking taylor expansion of k in k 16.304 * [backup-simplify]: Simplify 0 into 0 16.304 * [backup-simplify]: Simplify 1 into 1 16.304 * [backup-simplify]: Simplify (/ -1 1) into -1 16.304 * [backup-simplify]: Simplify (sqrt 0) into 0 16.305 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 16.306 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) 16.307 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) into (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) 16.308 * [backup-simplify]: Simplify (/ (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) +nan.0) into (* +nan.0 (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) 16.310 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))))) into (* +nan.0 (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) 16.310 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) in n 16.310 * [taylor]: Taking taylor expansion of +nan.0 in n 16.310 * [backup-simplify]: Simplify +nan.0 into +nan.0 16.310 * [taylor]: Taking taylor expansion of (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 16.310 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n 16.310 * [taylor]: Taking taylor expansion of (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n 16.310 * [taylor]: Taking taylor expansion of 0.25 in n 16.310 * [backup-simplify]: Simplify 0.25 into 0.25 16.310 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n 16.310 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 16.310 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 16.310 * [taylor]: Taking taylor expansion of 2.0 in n 16.310 * [backup-simplify]: Simplify 2.0 into 2.0 16.310 * [taylor]: Taking taylor expansion of PI in n 16.310 * [backup-simplify]: Simplify PI into PI 16.310 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.311 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.311 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 16.311 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.311 * [taylor]: Taking taylor expansion of k in n 16.311 * [backup-simplify]: Simplify k into k 16.311 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.311 * [taylor]: Taking taylor expansion of 1.0 in n 16.311 * [backup-simplify]: Simplify 1.0 into 1.0 16.311 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 16.312 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) into (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) 16.312 * [backup-simplify]: Simplify (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) into (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) 16.313 * [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)))) 16.313 * [taylor]: Taking taylor expansion of (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 16.313 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 16.313 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 16.313 * [taylor]: Taking taylor expansion of 0.25 in n 16.313 * [backup-simplify]: Simplify 0.25 into 0.25 16.313 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 16.313 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 16.313 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.313 * [taylor]: Taking taylor expansion of k in n 16.313 * [backup-simplify]: Simplify k into k 16.313 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.313 * [taylor]: Taking taylor expansion of 1.0 in n 16.313 * [backup-simplify]: Simplify 1.0 into 1.0 16.313 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 16.313 * [taylor]: Taking taylor expansion of (/ -1 n) in n 16.314 * [taylor]: Taking taylor expansion of -1 in n 16.314 * [backup-simplify]: Simplify -1 into -1 16.314 * [taylor]: Taking taylor expansion of n in n 16.314 * [backup-simplify]: Simplify 0 into 0 16.314 * [backup-simplify]: Simplify 1 into 1 16.314 * [backup-simplify]: Simplify (/ -1 1) into -1 16.314 * [backup-simplify]: Simplify (log -1) into (log -1) 16.314 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 16.315 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 16.315 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log -1) (log n))) into (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) 16.316 * [backup-simplify]: Simplify (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) into (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 16.316 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 16.316 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 16.316 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 16.316 * [taylor]: Taking taylor expansion of 0.25 in n 16.316 * [backup-simplify]: Simplify 0.25 into 0.25 16.316 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 16.316 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 16.316 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.316 * [taylor]: Taking taylor expansion of k in n 16.316 * [backup-simplify]: Simplify k into k 16.316 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.316 * [taylor]: Taking taylor expansion of 1.0 in n 16.316 * [backup-simplify]: Simplify 1.0 into 1.0 16.316 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 16.316 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 16.316 * [taylor]: Taking taylor expansion of -2.0 in n 16.316 * [backup-simplify]: Simplify -2.0 into -2.0 16.316 * [taylor]: Taking taylor expansion of (/ PI n) in n 16.316 * [taylor]: Taking taylor expansion of PI in n 16.316 * [backup-simplify]: Simplify PI into PI 16.316 * [taylor]: Taking taylor expansion of n in n 16.316 * [backup-simplify]: Simplify 0 into 0 16.316 * [backup-simplify]: Simplify 1 into 1 16.317 * [backup-simplify]: Simplify (/ PI 1) into PI 16.317 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 16.318 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 16.318 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 16.319 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 16.320 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 16.322 * [backup-simplify]: Simplify (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) into (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 16.325 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 16.328 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) 16.331 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) 16.336 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))))) into (* +nan.0 (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))))) 16.339 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))))) into (* +nan.0 (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))))) 16.341 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into 0 16.343 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 0) (* 0 (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) into 0 16.344 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 16.348 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 16.351 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))))) 16.355 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))))) (* 0 (* +nan.0 (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))))) into (- (* +nan.0 (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))))) 16.355 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))))) in n 16.355 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) in n 16.355 * [taylor]: Taking taylor expansion of +nan.0 in n 16.355 * [backup-simplify]: Simplify +nan.0 into +nan.0 16.355 * [taylor]: Taking taylor expansion of (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 16.355 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n 16.355 * [taylor]: Taking taylor expansion of (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n 16.355 * [taylor]: Taking taylor expansion of 0.25 in n 16.355 * [backup-simplify]: Simplify 0.25 into 0.25 16.355 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n 16.355 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 16.355 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 16.355 * [taylor]: Taking taylor expansion of 2.0 in n 16.355 * [backup-simplify]: Simplify 2.0 into 2.0 16.355 * [taylor]: Taking taylor expansion of PI in n 16.355 * [backup-simplify]: Simplify PI into PI 16.356 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.357 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.357 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 16.357 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.357 * [taylor]: Taking taylor expansion of k in n 16.357 * [backup-simplify]: Simplify k into k 16.357 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.357 * [taylor]: Taking taylor expansion of 1.0 in n 16.357 * [backup-simplify]: Simplify 1.0 into 1.0 16.357 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 16.358 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) into (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) 16.360 * [backup-simplify]: Simplify (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) into (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) 16.361 * [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)))) 16.361 * [taylor]: Taking taylor expansion of (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 16.361 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 16.361 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 16.361 * [taylor]: Taking taylor expansion of 0.25 in n 16.361 * [backup-simplify]: Simplify 0.25 into 0.25 16.361 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 16.361 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 16.361 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.361 * [taylor]: Taking taylor expansion of k in n 16.361 * [backup-simplify]: Simplify k into k 16.361 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.361 * [taylor]: Taking taylor expansion of 1.0 in n 16.361 * [backup-simplify]: Simplify 1.0 into 1.0 16.361 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 16.362 * [taylor]: Taking taylor expansion of (/ -1 n) in n 16.362 * [taylor]: Taking taylor expansion of -1 in n 16.362 * [backup-simplify]: Simplify -1 into -1 16.362 * [taylor]: Taking taylor expansion of n in n 16.362 * [backup-simplify]: Simplify 0 into 0 16.362 * [backup-simplify]: Simplify 1 into 1 16.362 * [backup-simplify]: Simplify (/ -1 1) into -1 16.363 * [backup-simplify]: Simplify (log -1) into (log -1) 16.363 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 16.364 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 16.364 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log -1) (log n))) into (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) 16.365 * [backup-simplify]: Simplify (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) into (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 16.365 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 16.365 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 16.365 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 16.365 * [taylor]: Taking taylor expansion of 0.25 in n 16.366 * [backup-simplify]: Simplify 0.25 into 0.25 16.366 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 16.366 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 16.366 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.366 * [taylor]: Taking taylor expansion of k in n 16.366 * [backup-simplify]: Simplify k into k 16.366 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.366 * [taylor]: Taking taylor expansion of 1.0 in n 16.366 * [backup-simplify]: Simplify 1.0 into 1.0 16.366 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 16.366 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 16.366 * [taylor]: Taking taylor expansion of -2.0 in n 16.366 * [backup-simplify]: Simplify -2.0 into -2.0 16.366 * [taylor]: Taking taylor expansion of (/ PI n) in n 16.366 * [taylor]: Taking taylor expansion of PI in n 16.366 * [backup-simplify]: Simplify PI into PI 16.367 * [taylor]: Taking taylor expansion of n in n 16.367 * [backup-simplify]: Simplify 0 into 0 16.367 * [backup-simplify]: Simplify 1 into 1 16.367 * [backup-simplify]: Simplify (/ PI 1) into PI 16.368 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 16.369 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 16.369 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 16.370 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 16.372 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 16.373 * [backup-simplify]: Simplify (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) into (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 16.374 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 16.376 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) 16.379 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) 16.382 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))))) into (* +nan.0 (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))))) 16.385 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))))) into (- (* +nan.0 (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))))) 16.389 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))))) into (- (* +nan.0 (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))))) 16.390 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 16.391 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 16.392 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 16.393 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 16.393 * [backup-simplify]: Simplify (+ 0 0) into 0 16.394 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 16.395 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 16.396 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into 0 16.397 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 16.397 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 16.398 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 16.398 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 16.398 * [backup-simplify]: Simplify (+ 0 0) into 0 16.399 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 16.399 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (- (log -1) (log n)))) into 0 16.400 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into 0 16.401 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 16.402 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 0) (* 0 (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into 0 16.402 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 16.402 * [backup-simplify]: Simplify (+ 0 0) into 0 16.402 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 16.403 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 16.404 * [backup-simplify]: Simplify (+ (* (log (* 2.0 PI)) 0) (* 0 (+ (/ 1 k) 1.0))) into 0 16.405 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into 0 16.406 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 16.408 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 0) (* 0 (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))))) into 0 16.410 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))))) into 0 16.410 * [backup-simplify]: Simplify 0 into 0 16.411 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 0) (+ (* 0 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) into 0 16.418 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 0) (+ (* 0 0) (* 0 (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))))) into 0 16.419 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.421 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 16.424 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))))) 16.430 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))))) (* 0 (* +nan.0 (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))))))) into (- (* +nan.0 (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))))) 16.430 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))))) in n 16.430 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) in n 16.430 * [taylor]: Taking taylor expansion of +nan.0 in n 16.430 * [backup-simplify]: Simplify +nan.0 into +nan.0 16.430 * [taylor]: Taking taylor expansion of (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 16.431 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n 16.431 * [taylor]: Taking taylor expansion of (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n 16.431 * [taylor]: Taking taylor expansion of 0.25 in n 16.431 * [backup-simplify]: Simplify 0.25 into 0.25 16.431 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n 16.431 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 16.431 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 16.431 * [taylor]: Taking taylor expansion of 2.0 in n 16.431 * [backup-simplify]: Simplify 2.0 into 2.0 16.431 * [taylor]: Taking taylor expansion of PI in n 16.431 * [backup-simplify]: Simplify PI into PI 16.431 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.432 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.432 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 16.433 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.433 * [taylor]: Taking taylor expansion of k in n 16.433 * [backup-simplify]: Simplify k into k 16.433 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.433 * [taylor]: Taking taylor expansion of 1.0 in n 16.433 * [backup-simplify]: Simplify 1.0 into 1.0 16.433 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 16.434 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) into (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) 16.435 * [backup-simplify]: Simplify (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) into (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) 16.437 * [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)))) 16.437 * [taylor]: Taking taylor expansion of (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 16.437 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 16.438 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 16.438 * [taylor]: Taking taylor expansion of 0.25 in n 16.438 * [backup-simplify]: Simplify 0.25 into 0.25 16.438 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 16.438 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 16.438 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.438 * [taylor]: Taking taylor expansion of k in n 16.438 * [backup-simplify]: Simplify k into k 16.438 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.438 * [taylor]: Taking taylor expansion of 1.0 in n 16.438 * [backup-simplify]: Simplify 1.0 into 1.0 16.438 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 16.438 * [taylor]: Taking taylor expansion of (/ -1 n) in n 16.438 * [taylor]: Taking taylor expansion of -1 in n 16.438 * [backup-simplify]: Simplify -1 into -1 16.438 * [taylor]: Taking taylor expansion of n in n 16.438 * [backup-simplify]: Simplify 0 into 0 16.438 * [backup-simplify]: Simplify 1 into 1 16.438 * [backup-simplify]: Simplify (/ -1 1) into -1 16.439 * [backup-simplify]: Simplify (log -1) into (log -1) 16.439 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 16.440 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 16.440 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log -1) (log n))) into (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) 16.441 * [backup-simplify]: Simplify (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) into (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 16.441 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 16.441 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 16.441 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 16.441 * [taylor]: Taking taylor expansion of 0.25 in n 16.441 * [backup-simplify]: Simplify 0.25 into 0.25 16.441 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 16.441 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 16.441 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.441 * [taylor]: Taking taylor expansion of k in n 16.441 * [backup-simplify]: Simplify k into k 16.442 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.442 * [taylor]: Taking taylor expansion of 1.0 in n 16.442 * [backup-simplify]: Simplify 1.0 into 1.0 16.442 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 16.442 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 16.442 * [taylor]: Taking taylor expansion of -2.0 in n 16.442 * [backup-simplify]: Simplify -2.0 into -2.0 16.442 * [taylor]: Taking taylor expansion of (/ PI n) in n 16.442 * [taylor]: Taking taylor expansion of PI in n 16.442 * [backup-simplify]: Simplify PI into PI 16.442 * [taylor]: Taking taylor expansion of n in n 16.442 * [backup-simplify]: Simplify 0 into 0 16.442 * [backup-simplify]: Simplify 1 into 1 16.442 * [backup-simplify]: Simplify (/ PI 1) into PI 16.443 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 16.444 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 16.444 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 16.445 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 16.446 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 16.447 * [backup-simplify]: Simplify (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) into (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 16.448 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 16.450 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) 16.453 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) 16.456 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))))) into (* +nan.0 (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))))) 16.459 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))))) into (- (* +nan.0 (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))))) 16.462 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))))) into (- (* +nan.0 (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))))) 16.473 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))) (* (exp (* 0.25 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) (exp (* 0.25 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))) (* (exp (* 0.25 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) (exp (* 0.25 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))) (* (exp (* 0.25 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) (exp (* 0.25 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n)))))))))))) into (- (+ (* +nan.0 (* (exp (* 0.25 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (* (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))))) (- (+ (* +nan.0 (/ (* (exp (* 0.25 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (* (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (* 0.25 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (* (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))) k))))))) 16.473 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 16.474 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) into (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 16.474 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0 16.474 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 16.474 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 16.474 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 16.474 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 16.474 * [taylor]: Taking taylor expansion of 0.25 in k 16.474 * [backup-simplify]: Simplify 0.25 into 0.25 16.474 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 16.474 * [taylor]: Taking taylor expansion of 1.0 in k 16.474 * [backup-simplify]: Simplify 1.0 into 1.0 16.474 * [taylor]: Taking taylor expansion of k in k 16.474 * [backup-simplify]: Simplify 0 into 0 16.474 * [backup-simplify]: Simplify 1 into 1 16.474 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 16.475 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 16.475 * [taylor]: Taking taylor expansion of 2.0 in k 16.475 * [backup-simplify]: Simplify 2.0 into 2.0 16.475 * [taylor]: Taking taylor expansion of (* n PI) in k 16.475 * [taylor]: Taking taylor expansion of n in k 16.475 * [backup-simplify]: Simplify n into n 16.475 * [taylor]: Taking taylor expansion of PI in k 16.475 * [backup-simplify]: Simplify PI into PI 16.475 * [backup-simplify]: Simplify (* n PI) into (* n PI) 16.475 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 16.475 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 16.476 * [backup-simplify]: Simplify (- 0) into 0 16.476 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 16.477 * [backup-simplify]: Simplify (* 0.25 1.0) into 0.25 16.477 * [backup-simplify]: Simplify (* 0.25 (log (* 2.0 (* n PI)))) into (* 0.25 (log (* 2.0 (* n PI)))) 16.477 * [backup-simplify]: Simplify (exp (* 0.25 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.25) 16.477 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 16.477 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 16.477 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 16.477 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 16.478 * [taylor]: Taking taylor expansion of 0.25 in n 16.478 * [backup-simplify]: Simplify 0.25 into 0.25 16.478 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 16.478 * [taylor]: Taking taylor expansion of 1.0 in n 16.478 * [backup-simplify]: Simplify 1.0 into 1.0 16.478 * [taylor]: Taking taylor expansion of k in n 16.478 * [backup-simplify]: Simplify k into k 16.478 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 16.478 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 16.478 * [taylor]: Taking taylor expansion of 2.0 in n 16.478 * [backup-simplify]: Simplify 2.0 into 2.0 16.478 * [taylor]: Taking taylor expansion of (* n PI) in n 16.478 * [taylor]: Taking taylor expansion of n in n 16.478 * [backup-simplify]: Simplify 0 into 0 16.478 * [backup-simplify]: Simplify 1 into 1 16.478 * [taylor]: Taking taylor expansion of PI in n 16.478 * [backup-simplify]: Simplify PI into PI 16.479 * [backup-simplify]: Simplify (* 0 PI) into 0 16.479 * [backup-simplify]: Simplify (* 2.0 0) into 0 16.481 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 16.483 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 16.484 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.484 * [backup-simplify]: Simplify (- k) into (- k) 16.484 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 16.484 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 16.486 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 16.487 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 16.488 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 16.488 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 16.488 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 16.488 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 16.488 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 16.488 * [taylor]: Taking taylor expansion of 0.25 in n 16.488 * [backup-simplify]: Simplify 0.25 into 0.25 16.488 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 16.488 * [taylor]: Taking taylor expansion of 1.0 in n 16.488 * [backup-simplify]: Simplify 1.0 into 1.0 16.488 * [taylor]: Taking taylor expansion of k in n 16.488 * [backup-simplify]: Simplify k into k 16.488 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 16.488 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 16.488 * [taylor]: Taking taylor expansion of 2.0 in n 16.489 * [backup-simplify]: Simplify 2.0 into 2.0 16.489 * [taylor]: Taking taylor expansion of (* n PI) in n 16.489 * [taylor]: Taking taylor expansion of n in n 16.489 * [backup-simplify]: Simplify 0 into 0 16.489 * [backup-simplify]: Simplify 1 into 1 16.489 * [taylor]: Taking taylor expansion of PI in n 16.489 * [backup-simplify]: Simplify PI into PI 16.489 * [backup-simplify]: Simplify (* 0 PI) into 0 16.490 * [backup-simplify]: Simplify (* 2.0 0) into 0 16.491 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 16.493 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 16.494 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.494 * [backup-simplify]: Simplify (- k) into (- k) 16.494 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 16.494 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 16.496 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 16.497 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 16.498 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 16.498 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 16.498 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 16.498 * [taylor]: Taking taylor expansion of 0.25 in k 16.499 * [backup-simplify]: Simplify 0.25 into 0.25 16.499 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 16.499 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 16.499 * [taylor]: Taking taylor expansion of 1.0 in k 16.499 * [backup-simplify]: Simplify 1.0 into 1.0 16.499 * [taylor]: Taking taylor expansion of k in k 16.499 * [backup-simplify]: Simplify 0 into 0 16.499 * [backup-simplify]: Simplify 1 into 1 16.499 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 16.499 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 16.499 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 16.499 * [taylor]: Taking taylor expansion of 2.0 in k 16.499 * [backup-simplify]: Simplify 2.0 into 2.0 16.499 * [taylor]: Taking taylor expansion of PI in k 16.499 * [backup-simplify]: Simplify PI into PI 16.500 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.501 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.501 * [taylor]: Taking taylor expansion of (log n) in k 16.501 * [taylor]: Taking taylor expansion of n in k 16.501 * [backup-simplify]: Simplify n into n 16.501 * [backup-simplify]: Simplify (log n) into (log n) 16.501 * [backup-simplify]: Simplify (- 0) into 0 16.502 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 16.503 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 16.504 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 16.505 * [backup-simplify]: Simplify (* 0.25 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.25 (+ (log (* 2.0 PI)) (log n))) 16.506 * [backup-simplify]: Simplify (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 16.507 * [backup-simplify]: Simplify (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 16.509 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 16.510 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 16.512 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 16.512 * [backup-simplify]: Simplify (- 0) into 0 16.512 * [backup-simplify]: Simplify (+ 0 0) into 0 16.513 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 k))) into 0 16.514 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 16.516 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 16.518 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 16.518 * [taylor]: Taking taylor expansion of 0 in k 16.518 * [backup-simplify]: Simplify 0 into 0 16.518 * [backup-simplify]: Simplify 0 into 0 16.519 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 16.521 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 16.522 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 16.522 * [backup-simplify]: Simplify (+ 0 0) into 0 16.522 * [backup-simplify]: Simplify (- 1) into -1 16.523 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.525 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 16.527 * [backup-simplify]: Simplify (+ (* 0.25 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n))))) into (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 16.531 * [backup-simplify]: Simplify (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 1) 1)))) into (* -1 (* (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) 16.534 * [backup-simplify]: Simplify (* -1 (* (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) into (* -1 (* (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) 16.535 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 16.537 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 16.540 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 16.541 * [backup-simplify]: Simplify (- 0) into 0 16.541 * [backup-simplify]: Simplify (+ 0 0) into 0 16.542 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 16.544 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 16.545 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 16.548 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.548 * [taylor]: Taking taylor expansion of 0 in k 16.548 * [backup-simplify]: Simplify 0 into 0 16.548 * [backup-simplify]: Simplify 0 into 0 16.548 * [backup-simplify]: Simplify 0 into 0 16.549 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 16.553 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 16.555 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 16.555 * [backup-simplify]: Simplify (+ 0 0) into 0 16.556 * [backup-simplify]: Simplify (- 0) into 0 16.556 * [backup-simplify]: Simplify (+ 0 0) into 0 16.558 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 16.561 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 16.565 * [backup-simplify]: Simplify (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.03125 (pow (log n) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) 16.579 * [backup-simplify]: Simplify (* (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.03125 (pow (log n) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) into (* (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.03125 (pow (log n) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) 16.591 * [backup-simplify]: Simplify (+ (* (* (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.03125 (pow (log n) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) (* k 1)) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) into (- (+ (* 0.03125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (+ (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.0625 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (* 0.03125 (* (pow k 2) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))))))) (+ (* 0.25 (* k (* (log (* 2.0 PI)) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (* 0.25 (* k (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) 16.592 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 n)) (/ (/ (- 1.0 (/ 1 k)) 2.0) 2)) into (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) 16.592 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 16.592 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 16.592 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 16.592 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 16.592 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 16.592 * [taylor]: Taking taylor expansion of 0.25 in k 16.592 * [backup-simplify]: Simplify 0.25 into 0.25 16.592 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 16.592 * [taylor]: Taking taylor expansion of 1.0 in k 16.592 * [backup-simplify]: Simplify 1.0 into 1.0 16.592 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.592 * [taylor]: Taking taylor expansion of k in k 16.592 * [backup-simplify]: Simplify 0 into 0 16.592 * [backup-simplify]: Simplify 1 into 1 16.593 * [backup-simplify]: Simplify (/ 1 1) into 1 16.593 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 16.593 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 16.593 * [taylor]: Taking taylor expansion of 2.0 in k 16.593 * [backup-simplify]: Simplify 2.0 into 2.0 16.593 * [taylor]: Taking taylor expansion of (/ PI n) in k 16.593 * [taylor]: Taking taylor expansion of PI in k 16.593 * [backup-simplify]: Simplify PI into PI 16.593 * [taylor]: Taking taylor expansion of n in k 16.593 * [backup-simplify]: Simplify n into n 16.593 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 16.593 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 16.593 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 16.594 * [backup-simplify]: Simplify (- 1) into -1 16.594 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.594 * [backup-simplify]: Simplify (* 0.25 -1) into -0.25 16.595 * [backup-simplify]: Simplify (* -0.25 (log (* 2.0 (/ PI n)))) into (* -0.25 (log (* 2.0 (/ PI n)))) 16.595 * [backup-simplify]: Simplify (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 16.595 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 16.595 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 16.595 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 16.595 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 16.595 * [taylor]: Taking taylor expansion of 0.25 in n 16.595 * [backup-simplify]: Simplify 0.25 into 0.25 16.595 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 16.595 * [taylor]: Taking taylor expansion of 1.0 in n 16.595 * [backup-simplify]: Simplify 1.0 into 1.0 16.595 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.595 * [taylor]: Taking taylor expansion of k in n 16.595 * [backup-simplify]: Simplify k into k 16.595 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.595 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 16.595 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 16.595 * [taylor]: Taking taylor expansion of 2.0 in n 16.595 * [backup-simplify]: Simplify 2.0 into 2.0 16.595 * [taylor]: Taking taylor expansion of (/ PI n) in n 16.595 * [taylor]: Taking taylor expansion of PI in n 16.595 * [backup-simplify]: Simplify PI into PI 16.596 * [taylor]: Taking taylor expansion of n in n 16.596 * [backup-simplify]: Simplify 0 into 0 16.596 * [backup-simplify]: Simplify 1 into 1 16.596 * [backup-simplify]: Simplify (/ PI 1) into PI 16.597 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.598 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.598 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 16.598 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 16.598 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 16.599 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 16.601 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 16.602 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 16.602 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 16.602 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 16.602 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 16.602 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 16.602 * [taylor]: Taking taylor expansion of 0.25 in n 16.602 * [backup-simplify]: Simplify 0.25 into 0.25 16.602 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 16.602 * [taylor]: Taking taylor expansion of 1.0 in n 16.602 * [backup-simplify]: Simplify 1.0 into 1.0 16.602 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.603 * [taylor]: Taking taylor expansion of k in n 16.603 * [backup-simplify]: Simplify k into k 16.603 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.603 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 16.603 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 16.603 * [taylor]: Taking taylor expansion of 2.0 in n 16.603 * [backup-simplify]: Simplify 2.0 into 2.0 16.603 * [taylor]: Taking taylor expansion of (/ PI n) in n 16.603 * [taylor]: Taking taylor expansion of PI in n 16.603 * [backup-simplify]: Simplify PI into PI 16.603 * [taylor]: Taking taylor expansion of n in n 16.603 * [backup-simplify]: Simplify 0 into 0 16.603 * [backup-simplify]: Simplify 1 into 1 16.603 * [backup-simplify]: Simplify (/ PI 1) into PI 16.604 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.605 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.605 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 16.605 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 16.605 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 16.607 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 16.608 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 16.610 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 16.610 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 16.610 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 16.610 * [taylor]: Taking taylor expansion of 0.25 in k 16.610 * [backup-simplify]: Simplify 0.25 into 0.25 16.610 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 16.610 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 16.610 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 16.610 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 16.610 * [taylor]: Taking taylor expansion of 2.0 in k 16.610 * [backup-simplify]: Simplify 2.0 into 2.0 16.610 * [taylor]: Taking taylor expansion of PI in k 16.610 * [backup-simplify]: Simplify PI into PI 16.611 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.612 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.612 * [taylor]: Taking taylor expansion of (log n) in k 16.612 * [taylor]: Taking taylor expansion of n in k 16.612 * [backup-simplify]: Simplify n into n 16.612 * [backup-simplify]: Simplify (log n) into (log n) 16.612 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 16.612 * [taylor]: Taking taylor expansion of 1.0 in k 16.612 * [backup-simplify]: Simplify 1.0 into 1.0 16.612 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.612 * [taylor]: Taking taylor expansion of k in k 16.612 * [backup-simplify]: Simplify 0 into 0 16.612 * [backup-simplify]: Simplify 1 into 1 16.612 * [backup-simplify]: Simplify (/ 1 1) into 1 16.612 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 16.613 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 16.613 * [backup-simplify]: Simplify (- 1) into -1 16.614 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.614 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 16.615 * [backup-simplify]: Simplify (* 0.25 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.25 (- (log (* 2.0 PI)) (log n))) 16.616 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 16.617 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 16.617 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 16.618 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 16.619 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 16.619 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 16.619 * [backup-simplify]: Simplify (- 0) into 0 16.619 * [backup-simplify]: Simplify (+ 0 0) into 0 16.620 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 (/ 1 k)))) into 0 16.621 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 16.621 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 16.623 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 16.623 * [taylor]: Taking taylor expansion of 0 in k 16.623 * [backup-simplify]: Simplify 0 into 0 16.623 * [backup-simplify]: Simplify 0 into 0 16.623 * [backup-simplify]: Simplify 0 into 0 16.623 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.624 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 16.626 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 16.626 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 16.626 * [backup-simplify]: Simplify (- 0) into 0 16.626 * [backup-simplify]: Simplify (+ 0 0) into 0 16.627 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 16.628 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 16.629 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 16.630 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.630 * [taylor]: Taking taylor expansion of 0 in k 16.630 * [backup-simplify]: Simplify 0 into 0 16.630 * [backup-simplify]: Simplify 0 into 0 16.630 * [backup-simplify]: Simplify 0 into 0 16.630 * [backup-simplify]: Simplify 0 into 0 16.631 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.632 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 16.635 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0 16.635 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 16.636 * [backup-simplify]: Simplify (- 0) into 0 16.636 * [backup-simplify]: Simplify (+ 0 0) into 0 16.637 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 16.638 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 16.639 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 16.640 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.640 * [taylor]: Taking taylor expansion of 0 in k 16.640 * [backup-simplify]: Simplify 0 into 0 16.640 * [backup-simplify]: Simplify 0 into 0 16.641 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) 16.642 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (/ (- 1.0 (/ 1 (- k))) 2.0) 2)) into (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) 16.642 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 16.642 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 16.642 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 16.642 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 16.642 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 16.642 * [taylor]: Taking taylor expansion of 0.25 in k 16.642 * [backup-simplify]: Simplify 0.25 into 0.25 16.642 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 16.642 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.642 * [taylor]: Taking taylor expansion of k in k 16.642 * [backup-simplify]: Simplify 0 into 0 16.642 * [backup-simplify]: Simplify 1 into 1 16.642 * [backup-simplify]: Simplify (/ 1 1) into 1 16.642 * [taylor]: Taking taylor expansion of 1.0 in k 16.642 * [backup-simplify]: Simplify 1.0 into 1.0 16.642 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 16.642 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 16.642 * [taylor]: Taking taylor expansion of -2.0 in k 16.642 * [backup-simplify]: Simplify -2.0 into -2.0 16.642 * [taylor]: Taking taylor expansion of (/ PI n) in k 16.642 * [taylor]: Taking taylor expansion of PI in k 16.642 * [backup-simplify]: Simplify PI into PI 16.643 * [taylor]: Taking taylor expansion of n in k 16.643 * [backup-simplify]: Simplify n into n 16.643 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 16.643 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 16.643 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 16.643 * [backup-simplify]: Simplify (+ 1 0) into 1 16.643 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 16.643 * [backup-simplify]: Simplify (* 0.25 (log (* -2.0 (/ PI n)))) into (* 0.25 (log (* -2.0 (/ PI n)))) 16.643 * [backup-simplify]: Simplify (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 16.644 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 16.644 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 16.644 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 16.644 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 16.644 * [taylor]: Taking taylor expansion of 0.25 in n 16.644 * [backup-simplify]: Simplify 0.25 into 0.25 16.644 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 16.644 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.644 * [taylor]: Taking taylor expansion of k in n 16.644 * [backup-simplify]: Simplify k into k 16.644 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.644 * [taylor]: Taking taylor expansion of 1.0 in n 16.644 * [backup-simplify]: Simplify 1.0 into 1.0 16.644 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 16.644 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 16.644 * [taylor]: Taking taylor expansion of -2.0 in n 16.644 * [backup-simplify]: Simplify -2.0 into -2.0 16.644 * [taylor]: Taking taylor expansion of (/ PI n) in n 16.644 * [taylor]: Taking taylor expansion of PI in n 16.644 * [backup-simplify]: Simplify PI into PI 16.644 * [taylor]: Taking taylor expansion of n in n 16.644 * [backup-simplify]: Simplify 0 into 0 16.644 * [backup-simplify]: Simplify 1 into 1 16.644 * [backup-simplify]: Simplify (/ PI 1) into PI 16.645 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 16.646 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 16.646 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 16.646 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 16.648 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 16.649 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 16.650 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 16.650 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 16.650 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 16.650 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 16.650 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 16.650 * [taylor]: Taking taylor expansion of 0.25 in n 16.651 * [backup-simplify]: Simplify 0.25 into 0.25 16.651 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 16.651 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.651 * [taylor]: Taking taylor expansion of k in n 16.651 * [backup-simplify]: Simplify k into k 16.651 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.651 * [taylor]: Taking taylor expansion of 1.0 in n 16.651 * [backup-simplify]: Simplify 1.0 into 1.0 16.651 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 16.651 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 16.651 * [taylor]: Taking taylor expansion of -2.0 in n 16.651 * [backup-simplify]: Simplify -2.0 into -2.0 16.651 * [taylor]: Taking taylor expansion of (/ PI n) in n 16.651 * [taylor]: Taking taylor expansion of PI in n 16.651 * [backup-simplify]: Simplify PI into PI 16.651 * [taylor]: Taking taylor expansion of n in n 16.651 * [backup-simplify]: Simplify 0 into 0 16.651 * [backup-simplify]: Simplify 1 into 1 16.652 * [backup-simplify]: Simplify (/ PI 1) into PI 16.652 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 16.653 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 16.653 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 16.653 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 16.655 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 16.656 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 16.657 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 16.657 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 16.657 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 16.658 * [taylor]: Taking taylor expansion of 0.25 in k 16.658 * [backup-simplify]: Simplify 0.25 into 0.25 16.658 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 16.658 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 16.658 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.658 * [taylor]: Taking taylor expansion of k in k 16.658 * [backup-simplify]: Simplify 0 into 0 16.658 * [backup-simplify]: Simplify 1 into 1 16.658 * [backup-simplify]: Simplify (/ 1 1) into 1 16.658 * [taylor]: Taking taylor expansion of 1.0 in k 16.658 * [backup-simplify]: Simplify 1.0 into 1.0 16.658 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 16.658 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 16.658 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 16.658 * [taylor]: Taking taylor expansion of -2.0 in k 16.658 * [backup-simplify]: Simplify -2.0 into -2.0 16.658 * [taylor]: Taking taylor expansion of PI in k 16.658 * [backup-simplify]: Simplify PI into PI 16.659 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 16.660 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 16.660 * [taylor]: Taking taylor expansion of (log n) in k 16.660 * [taylor]: Taking taylor expansion of n in k 16.660 * [backup-simplify]: Simplify n into n 16.660 * [backup-simplify]: Simplify (log n) into (log n) 16.661 * [backup-simplify]: Simplify (+ 1 0) into 1 16.661 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 16.662 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 16.663 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 16.664 * [backup-simplify]: Simplify (* 0.25 (- (log (* -2.0 PI)) (log n))) into (* 0.25 (- (log (* -2.0 PI)) (log n))) 16.666 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 16.667 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 16.668 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 16.669 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 16.670 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 16.670 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 16.670 * [backup-simplify]: Simplify (+ 0 0) into 0 16.670 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (+ (/ 1 k) 1.0))) into 0 16.671 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 16.672 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 16.673 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 16.674 * [taylor]: Taking taylor expansion of 0 in k 16.674 * [backup-simplify]: Simplify 0 into 0 16.674 * [backup-simplify]: Simplify 0 into 0 16.674 * [backup-simplify]: Simplify 0 into 0 16.674 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.675 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 16.677 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0 16.677 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 16.677 * [backup-simplify]: Simplify (+ 0 0) into 0 16.678 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 16.679 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 16.680 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 16.681 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.681 * [taylor]: Taking taylor expansion of 0 in k 16.681 * [backup-simplify]: Simplify 0 into 0 16.681 * [backup-simplify]: Simplify 0 into 0 16.681 * [backup-simplify]: Simplify 0 into 0 16.682 * [backup-simplify]: Simplify 0 into 0 16.682 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.683 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 16.686 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2.0 PI) 1)))) 6) into 0 16.686 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 16.687 * [backup-simplify]: Simplify (+ 0 0) into 0 16.688 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 16.689 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 16.690 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 16.699 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.699 * [taylor]: Taking taylor expansion of 0 in k 16.699 * [backup-simplify]: Simplify 0 into 0 16.699 * [backup-simplify]: Simplify 0 into 0 16.700 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))) into (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 16.700 * * * [progress]: simplifying candidates 16.707 * [simplify]: Simplifying: (- (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 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0.25 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* -0.25 (* (- 1.0 k) (log (/ 1 n))))) (* (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))))) k)) (- (* +nan.0 (/ (* (exp (* -0.25 (* (- 1.0 k) (log (/ 1 n))))) (* (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))))) (pow k 3)))))))) (- (+ (* +nan.0 (* (exp (* 0.25 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (* (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))))) (- (+ (* +nan.0 (/ (* (exp (* 0.25 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (* (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (* 0.25 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (* (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))) k))))))) (- (+ (* 0.03125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (+ (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.0625 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (* 0.03125 (* (pow k 2) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))))))) (+ (* 0.25 (* k (* (log (* 2.0 PI)) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (* 0.25 (* k (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 16.722 * * [simplify]: Extracting # 0 : cost 0 16.723 * * [simplify]: Extracting # 1 : cost 0 16.725 * * [simplify]: Extracting # 2 : cost 0 16.726 * * [simplify]: Extracting # 3 : cost 0 16.728 * * [simplify]: Extracting # 4 : cost 0 16.729 * * [simplify]: Extracting # 5 : cost 0 16.731 * * [simplify]: Extracting # 6 : cost 0 16.733 * * [simplify]: Extracting # 7 : cost 0 16.735 * * [simplify]: Extracting # 8 : cost 0 16.737 * * [simplify]: Extracting # 9 : cost 0 16.739 * * [simplify]: Extracting # 10 : cost 0 16.740 * * [simplify]: Extracting # 11 : cost 0 16.742 * * [simplify]: Extracting # 12 : cost 0 16.744 * * [simplify]: Extracting # 13 : cost 0 16.746 * * [simplify]: Extracting # 14 : cost 0 16.748 * * [simplify]: Extracting # 15 : cost 0 16.750 * * [simplify]: Extracting # 16 : cost 0 16.752 * * [simplify]: Extracting # 17 : cost 0 16.754 * * [simplify]: Extracting # 18 : cost 0 16.756 * * [simplify]: Extracting # 19 : cost 0 16.758 * * [simplify]: Extracting # 20 : cost 0 16.760 * * [simplify]: Extracting # 21 : cost 0 16.762 * * [simplify]: Extracting # 22 : cost 0 16.764 * * [simplify]: Extracting # 23 : cost 0 16.766 * * [simplify]: Extracting # 24 : cost 0 16.768 * * [simplify]: Extracting # 25 : cost 0 16.777 * * [simplify]: Extracting # 26 : cost 0 16.779 * * [simplify]: Extracting # 27 : cost 0 16.782 * * [simplify]: Extracting # 28 : cost 0 16.784 * * [simplify]: Extracting # 29 : cost 0 16.786 * * [simplify]: Extracting # 30 : cost 0 16.789 * * [simplify]: Extracting # 31 : cost 0 16.791 * * [simplify]: Extracting # 32 : cost 0 16.793 * * [simplify]: Extracting # 33 : cost 0 16.795 * * [simplify]: Extracting # 34 : cost 0 16.798 * * [simplify]: Extracting # 35 : cost 0 16.800 * * [simplify]: Extracting # 36 : cost 0 16.801 * * [simplify]: Extracting # 37 : cost 0 16.802 * * [simplify]: iteration 0 : 617 enodes (cost 10616 ) 17.023 * * [simplify]: Extracting # 0 : cost 0 17.029 * * [simplify]: Extracting # 1 : cost 0 17.034 * * [simplify]: Extracting # 2 : cost 0 17.039 * * [simplify]: Extracting # 3 : cost 0 17.044 * * [simplify]: Extracting # 4 : cost 0 17.047 * * [simplify]: Extracting # 5 : cost 0 17.057 * * [simplify]: Extracting # 6 : cost 0 17.060 * * [simplify]: Extracting # 7 : cost 0 17.063 * * [simplify]: iteration 1 : 1916 enodes (cost 10084 ) 17.687 * * [simplify]: Extracting # 0 : cost 0 17.694 * * [simplify]: Extracting # 1 : cost 0 17.711 * * [simplify]: Extracting # 2 : cost 0 17.720 * * [simplify]: Extracting # 3 : cost 0 17.729 * * [simplify]: Extracting # 4 : cost 0 17.736 * * [simplify]: Extracting # 5 : cost 0 17.743 * * [simplify]: Extracting # 6 : cost 0 17.751 * * [simplify]: Extracting # 7 : cost 0 17.760 * * [simplify]: iteration done: 5000 enodes (cost 8835 ) 17.765 * [simplify]: Simplified to: (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (pow 1.0 3) (* (sqrt k) k)) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt k))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 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2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2))) (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (sqrt 2))) (pow (* (* 2.0 PI) n) (- 1.0 k)) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (log (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (exp (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 4)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 4)) (- (- (* +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)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (- (* +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 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 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 (* (* (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))) (+ (- (* +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 (* 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 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 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (* +nan.0 (* (pow k 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* (* +nan.0 (* k (log (* 2.0 PI)))) (- (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 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 (- (/ (exp (+ (* 0.25 (+ (* (- 1.0 k) (log (* 2.0 PI))) (* (- 1.0 k) (log (* (* 2.0 PI) n))))) (* (* -0.25 (- 1.0 k)) (- (log n))))) k) (/ (exp (+ (* 0.25 (+ (* (- 1.0 k) (log (* 2.0 PI))) (* (- 1.0 k) (log (* (* 2.0 PI) n))))) (* (* -0.25 (- 1.0 k)) (- (log n))))) (pow k 3)))) (* (/ (exp (+ (* 0.25 (+ (* (- 1.0 k) (log (* 2.0 PI))) (* (- 1.0 k) (log (* (* 2.0 PI) n))))) (* (* -0.25 (- 1.0 k)) (- (log n))))) (pow k 2)) (- +nan.0))) (+ (* +nan.0 (- (/ (exp (+ (* 0.25 (+ (* (- 1.0 k) (log (* 2.0 PI))) (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* 0.25 (* (- 1.0 k) (- (log -1) (log (/ -1 n))))))) (pow k 2)) (/ (exp (+ (* 0.25 (+ (* (- 1.0 k) (log (* 2.0 PI))) (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* 0.25 (* (- 1.0 k) (- (log -1) (log (/ -1 n))))))) k))) (* (exp (+ (* 0.25 (+ (* (- 1.0 k) (log (* 2.0 PI))) (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* 0.25 (* (- 1.0 k) (- (log -1) (log (/ -1 n))))))) (- +nan.0))) (+ (+ (* (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (* 2.0 PI) n) 0.25)) 0.03125) (pow (* (* 2.0 PI) n) 0.25)) (- (+ (* (* 0.03125 (pow k 2)) (* (pow (* (* 2.0 PI) n) 0.25) (pow (log n) 2))) (* (* (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (* 2.0 PI) n) 0.25)) (log n)) 0.0625)) (* 0.25 (* k (+ (* (log (* 2.0 PI)) (pow (* (* 2.0 PI) n) 0.25)) (* (log n) (pow (* (* 2.0 PI) n) 0.25))))))) (pow (pow (* (* 2.0 PI) n) 0.25) (- 1.0 k)) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 17.771 * * * [progress]: adding candidates to table 19.071 * [progress]: [Phase 3 of 3] Extracting. 19.071 * * [regime]: Finding splitpoints for: (# # # # # # # # # # #) 19.088 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 19.088 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # # # # #) 19.143 * * * * [regimes]: Trying to branch on n from (# # # # # # # # # # #) 19.234 * * * * [regimes]: Trying to branch on k from (# # # # # # # # # # #) 19.303 * * * [regime]: Found split indices: #