52.222 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.151 * * * [progress]: [2/2] Setting up program. 0.156 * [progress]: [Phase 2 of 3] Improving. 0.157 * [simplify]: Simplifying: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.157 * * [simplify]: Extracting # 0 : cost 0 0.157 * * [simplify]: Extracting # 1 : cost 0 0.157 * * [simplify]: Extracting # 2 : cost 0 0.157 * * [simplify]: Extracting # 3 : cost 0 0.157 * * [simplify]: Extracting # 4 : cost 0 0.157 * * [simplify]: Extracting # 5 : cost 0 0.157 * * [simplify]: Extracting # 6 : cost 0 0.157 * * [simplify]: Extracting # 7 : cost 0 0.157 * * [simplify]: iteration 0 : 13 enodes (cost 16 ) 0.164 * * [simplify]: Extracting # 0 : cost 0 0.164 * * [simplify]: Extracting # 1 : cost 0 0.164 * * [simplify]: Extracting # 2 : cost 0 0.164 * * [simplify]: Extracting # 3 : cost 0 0.164 * * [simplify]: Extracting # 4 : cost 0 0.164 * * [simplify]: Extracting # 5 : cost 0 0.164 * * [simplify]: iteration 1 : 29 enodes (cost 16 ) 0.200 * * [simplify]: Extracting # 0 : cost 0 0.200 * * [simplify]: Extracting # 1 : cost 0 0.200 * * [simplify]: Extracting # 2 : cost 0 0.200 * * [simplify]: Extracting # 3 : cost 0 0.200 * * [simplify]: Extracting # 4 : cost 0 0.200 * * [simplify]: iteration 2 : 59 enodes (cost 16 ) 0.214 * * [simplify]: Extracting # 0 : cost 0 0.214 * * [simplify]: Extracting # 1 : cost 0 0.215 * * [simplify]: Extracting # 2 : cost 0 0.215 * * [simplify]: Extracting # 3 : cost 0 0.215 * * [simplify]: Extracting # 4 : cost 0 0.215 * * [simplify]: iteration 3 : 119 enodes (cost 16 ) 0.251 * * [simplify]: Extracting # 0 : cost 0 0.252 * * [simplify]: Extracting # 1 : cost 0 0.252 * * [simplify]: Extracting # 2 : cost 0 0.252 * * [simplify]: Extracting # 3 : cost 0 0.252 * * [simplify]: Extracting # 4 : cost 0 0.253 * * [simplify]: iteration 4 : 313 enodes (cost 16 ) 0.523 * * [simplify]: Extracting # 0 : cost 0 0.524 * * [simplify]: Extracting # 1 : cost 0 0.526 * * [simplify]: Extracting # 2 : cost 0 0.527 * * [simplify]: Extracting # 3 : cost 0 0.529 * * [simplify]: Extracting # 4 : cost 0 0.530 * * [simplify]: iteration 5 : 853 enodes (cost 16 ) 2.097 * * [simplify]: Extracting # 0 : cost 0 2.101 * * [simplify]: Extracting # 1 : cost 0 2.103 * * [simplify]: Extracting # 2 : cost 0 2.106 * * [simplify]: Extracting # 3 : cost 0 2.109 * * [simplify]: Extracting # 4 : cost 0 2.111 * * [simplify]: iteration 6 : 3196 enodes (cost 16 ) 3.976 * * [simplify]: Extracting # 0 : cost 0 3.987 * * [simplify]: Extracting # 1 : cost 0 3.997 * * [simplify]: Extracting # 2 : cost 0 4.007 * * [simplify]: Extracting # 3 : cost 0 4.017 * * [simplify]: Extracting # 4 : cost 0 4.026 * * [simplify]: iteration done: 5001 enodes (cost 16 ) 4.026 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 4.027 * * [progress]: iteration 1 / 4 4.027 * * * [progress]: picking best candidate 4.032 * * * * [pick]: Picked # 4.032 * * * [progress]: localizing error 4.072 * * * [progress]: generating rewritten candidates 4.072 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 4.119 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 4.132 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 4.163 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 4.234 * * * [progress]: generating series expansions 4.234 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 4.235 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 4.235 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 4.235 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.235 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.235 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.235 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.235 * [taylor]: Taking taylor expansion of 0.5 in k 4.236 * [backup-simplify]: Simplify 0.5 into 0.5 4.236 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.236 * [taylor]: Taking taylor expansion of 1.0 in k 4.236 * [backup-simplify]: Simplify 1.0 into 1.0 4.236 * [taylor]: Taking taylor expansion of k in k 4.236 * [backup-simplify]: Simplify 0 into 0 4.236 * [backup-simplify]: Simplify 1 into 1 4.236 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.236 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.236 * [taylor]: Taking taylor expansion of 2.0 in k 4.236 * [backup-simplify]: Simplify 2.0 into 2.0 4.236 * [taylor]: Taking taylor expansion of (* n PI) in k 4.236 * [taylor]: Taking taylor expansion of n in k 4.236 * [backup-simplify]: Simplify n into n 4.236 * [taylor]: Taking taylor expansion of PI in k 4.236 * [backup-simplify]: Simplify PI into PI 4.236 * [backup-simplify]: Simplify (* n PI) into (* n PI) 4.236 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 4.236 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 4.237 * [backup-simplify]: Simplify (- 0) into 0 4.237 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.238 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.238 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 4.238 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 4.238 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.238 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.238 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.238 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.238 * [taylor]: Taking taylor expansion of 0.5 in n 4.238 * [backup-simplify]: Simplify 0.5 into 0.5 4.238 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.238 * [taylor]: Taking taylor expansion of 1.0 in n 4.238 * [backup-simplify]: Simplify 1.0 into 1.0 4.238 * [taylor]: Taking taylor expansion of k in n 4.238 * [backup-simplify]: Simplify k into k 4.239 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.239 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.239 * [taylor]: Taking taylor expansion of 2.0 in n 4.239 * [backup-simplify]: Simplify 2.0 into 2.0 4.239 * [taylor]: Taking taylor expansion of (* n PI) in n 4.239 * [taylor]: Taking taylor expansion of n in n 4.239 * [backup-simplify]: Simplify 0 into 0 4.239 * [backup-simplify]: Simplify 1 into 1 4.239 * [taylor]: Taking taylor expansion of PI in n 4.239 * [backup-simplify]: Simplify PI into PI 4.239 * [backup-simplify]: Simplify (* 0 PI) into 0 4.240 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.241 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.244 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.245 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.245 * [backup-simplify]: Simplify (- k) into (- k) 4.245 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 4.245 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 4.246 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.247 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 4.248 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 4.248 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.248 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.248 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.248 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.248 * [taylor]: Taking taylor expansion of 0.5 in n 4.248 * [backup-simplify]: Simplify 0.5 into 0.5 4.248 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.248 * [taylor]: Taking taylor expansion of 1.0 in n 4.248 * [backup-simplify]: Simplify 1.0 into 1.0 4.249 * [taylor]: Taking taylor expansion of k in n 4.249 * [backup-simplify]: Simplify k into k 4.249 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.249 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.249 * [taylor]: Taking taylor expansion of 2.0 in n 4.249 * [backup-simplify]: Simplify 2.0 into 2.0 4.249 * [taylor]: Taking taylor expansion of (* n PI) in n 4.249 * [taylor]: Taking taylor expansion of n in n 4.249 * [backup-simplify]: Simplify 0 into 0 4.249 * [backup-simplify]: Simplify 1 into 1 4.249 * [taylor]: Taking taylor expansion of PI in n 4.249 * [backup-simplify]: Simplify PI into PI 4.249 * [backup-simplify]: Simplify (* 0 PI) into 0 4.249 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.250 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.251 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.252 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.252 * [backup-simplify]: Simplify (- k) into (- k) 4.252 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 4.252 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 4.253 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.254 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 4.254 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 4.255 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 4.255 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 4.255 * [taylor]: Taking taylor expansion of 0.5 in k 4.255 * [backup-simplify]: Simplify 0.5 into 0.5 4.255 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 4.255 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.255 * [taylor]: Taking taylor expansion of 1.0 in k 4.255 * [backup-simplify]: Simplify 1.0 into 1.0 4.255 * [taylor]: Taking taylor expansion of k in k 4.255 * [backup-simplify]: Simplify 0 into 0 4.255 * [backup-simplify]: Simplify 1 into 1 4.255 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 4.255 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.255 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.255 * [taylor]: Taking taylor expansion of 2.0 in k 4.255 * [backup-simplify]: Simplify 2.0 into 2.0 4.255 * [taylor]: Taking taylor expansion of PI in k 4.255 * [backup-simplify]: Simplify PI into PI 4.255 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.256 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.256 * [taylor]: Taking taylor expansion of (log n) in k 4.256 * [taylor]: Taking taylor expansion of n in k 4.256 * [backup-simplify]: Simplify n into n 4.256 * [backup-simplify]: Simplify (log n) into (log n) 4.256 * [backup-simplify]: Simplify (- 0) into 0 4.256 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.257 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 4.258 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 4.258 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 4.259 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 4.260 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 4.261 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 4.261 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 4.262 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 4.262 * [backup-simplify]: Simplify (- 0) into 0 4.263 * [backup-simplify]: Simplify (+ 0 0) into 0 4.263 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 4.264 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.265 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 4.266 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.266 * [taylor]: Taking taylor expansion of 0 in k 4.266 * [backup-simplify]: Simplify 0 into 0 4.266 * [backup-simplify]: Simplify 0 into 0 4.266 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 4.267 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 4.268 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 4.268 * [backup-simplify]: Simplify (+ 0 0) into 0 4.268 * [backup-simplify]: Simplify (- 1) into -1 4.269 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.270 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 4.271 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n))))) into (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 4.273 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 1) 1)))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 4.275 * [backup-simplify]: Simplify (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 4.276 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 4.276 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 4.283 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 4.284 * [backup-simplify]: Simplify (- 0) into 0 4.284 * [backup-simplify]: Simplify (+ 0 0) into 0 4.285 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 4.287 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.288 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 4.291 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.291 * [taylor]: Taking taylor expansion of 0 in k 4.291 * [backup-simplify]: Simplify 0 into 0 4.291 * [backup-simplify]: Simplify 0 into 0 4.291 * [backup-simplify]: Simplify 0 into 0 4.293 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.297 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 4.299 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 4.299 * [backup-simplify]: Simplify (+ 0 0) into 0 4.300 * [backup-simplify]: Simplify (- 0) into 0 4.300 * [backup-simplify]: Simplify (+ 0 0) into 0 4.302 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 4.305 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 4.309 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 4.315 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 4.327 * [backup-simplify]: Simplify (+ (* (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (* k 1)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) 4.328 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 n)) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) 4.328 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 4.328 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.328 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.328 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.328 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.328 * [taylor]: Taking taylor expansion of 0.5 in k 4.328 * [backup-simplify]: Simplify 0.5 into 0.5 4.328 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.328 * [taylor]: Taking taylor expansion of 1.0 in k 4.328 * [backup-simplify]: Simplify 1.0 into 1.0 4.328 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.328 * [taylor]: Taking taylor expansion of k in k 4.328 * [backup-simplify]: Simplify 0 into 0 4.328 * [backup-simplify]: Simplify 1 into 1 4.329 * [backup-simplify]: Simplify (/ 1 1) into 1 4.329 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.329 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.329 * [taylor]: Taking taylor expansion of 2.0 in k 4.329 * [backup-simplify]: Simplify 2.0 into 2.0 4.329 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.329 * [taylor]: Taking taylor expansion of PI in k 4.329 * [backup-simplify]: Simplify PI into PI 4.329 * [taylor]: Taking taylor expansion of n in k 4.329 * [backup-simplify]: Simplify n into n 4.329 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.329 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 4.329 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 4.330 * [backup-simplify]: Simplify (- 1) into -1 4.330 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.331 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 4.331 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 4.331 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 4.331 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.331 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.331 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.331 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.331 * [taylor]: Taking taylor expansion of 0.5 in n 4.331 * [backup-simplify]: Simplify 0.5 into 0.5 4.331 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.331 * [taylor]: Taking taylor expansion of 1.0 in n 4.332 * [backup-simplify]: Simplify 1.0 into 1.0 4.332 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.332 * [taylor]: Taking taylor expansion of k in n 4.332 * [backup-simplify]: Simplify k into k 4.332 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.332 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.332 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.332 * [taylor]: Taking taylor expansion of 2.0 in n 4.332 * [backup-simplify]: Simplify 2.0 into 2.0 4.332 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.332 * [taylor]: Taking taylor expansion of PI in n 4.332 * [backup-simplify]: Simplify PI into PI 4.332 * [taylor]: Taking taylor expansion of n in n 4.332 * [backup-simplify]: Simplify 0 into 0 4.332 * [backup-simplify]: Simplify 1 into 1 4.333 * [backup-simplify]: Simplify (/ PI 1) into PI 4.333 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.334 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.334 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.334 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.335 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 4.336 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.337 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 4.339 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 4.339 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.339 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.339 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.339 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.339 * [taylor]: Taking taylor expansion of 0.5 in n 4.339 * [backup-simplify]: Simplify 0.5 into 0.5 4.339 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.339 * [taylor]: Taking taylor expansion of 1.0 in n 4.339 * [backup-simplify]: Simplify 1.0 into 1.0 4.339 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.339 * [taylor]: Taking taylor expansion of k in n 4.339 * [backup-simplify]: Simplify k into k 4.339 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.339 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.339 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.339 * [taylor]: Taking taylor expansion of 2.0 in n 4.339 * [backup-simplify]: Simplify 2.0 into 2.0 4.339 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.339 * [taylor]: Taking taylor expansion of PI in n 4.339 * [backup-simplify]: Simplify PI into PI 4.339 * [taylor]: Taking taylor expansion of n in n 4.339 * [backup-simplify]: Simplify 0 into 0 4.339 * [backup-simplify]: Simplify 1 into 1 4.340 * [backup-simplify]: Simplify (/ PI 1) into PI 4.340 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.342 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.342 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.342 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.342 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 4.343 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.345 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 4.346 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 4.346 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 4.346 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 4.346 * [taylor]: Taking taylor expansion of 0.5 in k 4.346 * [backup-simplify]: Simplify 0.5 into 0.5 4.346 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 4.346 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 4.346 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.346 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.346 * [taylor]: Taking taylor expansion of 2.0 in k 4.346 * [backup-simplify]: Simplify 2.0 into 2.0 4.346 * [taylor]: Taking taylor expansion of PI in k 4.346 * [backup-simplify]: Simplify PI into PI 4.347 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.348 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.348 * [taylor]: Taking taylor expansion of (log n) in k 4.348 * [taylor]: Taking taylor expansion of n in k 4.348 * [backup-simplify]: Simplify n into n 4.348 * [backup-simplify]: Simplify (log n) into (log n) 4.348 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.348 * [taylor]: Taking taylor expansion of 1.0 in k 4.348 * [backup-simplify]: Simplify 1.0 into 1.0 4.348 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.348 * [taylor]: Taking taylor expansion of k in k 4.348 * [backup-simplify]: Simplify 0 into 0 4.348 * [backup-simplify]: Simplify 1 into 1 4.349 * [backup-simplify]: Simplify (/ 1 1) into 1 4.349 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 4.350 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 4.350 * [backup-simplify]: Simplify (- 1) into -1 4.350 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.352 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 4.353 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 4.354 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 4.356 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 4.357 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.358 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 4.359 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 4.360 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.360 * [backup-simplify]: Simplify (- 0) into 0 4.360 * [backup-simplify]: Simplify (+ 0 0) into 0 4.361 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 4.362 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.364 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 4.366 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.366 * [taylor]: Taking taylor expansion of 0 in k 4.366 * [backup-simplify]: Simplify 0 into 0 4.366 * [backup-simplify]: Simplify 0 into 0 4.366 * [backup-simplify]: Simplify 0 into 0 4.367 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.368 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.371 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 4.372 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.372 * [backup-simplify]: Simplify (- 0) into 0 4.372 * [backup-simplify]: Simplify (+ 0 0) into 0 4.373 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 4.375 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.376 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 4.379 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.379 * [taylor]: Taking taylor expansion of 0 in k 4.379 * [backup-simplify]: Simplify 0 into 0 4.379 * [backup-simplify]: Simplify 0 into 0 4.379 * [backup-simplify]: Simplify 0 into 0 4.379 * [backup-simplify]: Simplify 0 into 0 4.380 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.381 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.387 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0 4.388 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.388 * [backup-simplify]: Simplify (- 0) into 0 4.388 * [backup-simplify]: Simplify (+ 0 0) into 0 4.390 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 4.391 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.393 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 4.396 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.396 * [taylor]: Taking taylor expansion of 0 in k 4.396 * [backup-simplify]: Simplify 0 into 0 4.396 * [backup-simplify]: Simplify 0 into 0 4.397 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) 4.398 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) 4.398 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 4.398 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.398 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.398 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.398 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.398 * [taylor]: Taking taylor expansion of 0.5 in k 4.398 * [backup-simplify]: Simplify 0.5 into 0.5 4.398 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.398 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.398 * [taylor]: Taking taylor expansion of k in k 4.398 * [backup-simplify]: Simplify 0 into 0 4.398 * [backup-simplify]: Simplify 1 into 1 4.399 * [backup-simplify]: Simplify (/ 1 1) into 1 4.399 * [taylor]: Taking taylor expansion of 1.0 in k 4.399 * [backup-simplify]: Simplify 1.0 into 1.0 4.399 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.399 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.399 * [taylor]: Taking taylor expansion of -2.0 in k 4.399 * [backup-simplify]: Simplify -2.0 into -2.0 4.399 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.399 * [taylor]: Taking taylor expansion of PI in k 4.399 * [backup-simplify]: Simplify PI into PI 4.399 * [taylor]: Taking taylor expansion of n in k 4.399 * [backup-simplify]: Simplify n into n 4.399 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.399 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 4.399 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 4.399 * [backup-simplify]: Simplify (+ 1 0) into 1 4.400 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.400 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 4.400 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 4.400 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.400 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.400 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.400 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.400 * [taylor]: Taking taylor expansion of 0.5 in n 4.400 * [backup-simplify]: Simplify 0.5 into 0.5 4.400 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.400 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.400 * [taylor]: Taking taylor expansion of k in n 4.400 * [backup-simplify]: Simplify k into k 4.400 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.400 * [taylor]: Taking taylor expansion of 1.0 in n 4.400 * [backup-simplify]: Simplify 1.0 into 1.0 4.400 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.400 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.400 * [taylor]: Taking taylor expansion of -2.0 in n 4.400 * [backup-simplify]: Simplify -2.0 into -2.0 4.400 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.400 * [taylor]: Taking taylor expansion of PI in n 4.400 * [backup-simplify]: Simplify PI into PI 4.400 * [taylor]: Taking taylor expansion of n in n 4.400 * [backup-simplify]: Simplify 0 into 0 4.400 * [backup-simplify]: Simplify 1 into 1 4.401 * [backup-simplify]: Simplify (/ PI 1) into PI 4.401 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.402 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.402 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.402 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 4.403 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.404 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 4.405 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 4.405 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.405 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.405 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.405 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.405 * [taylor]: Taking taylor expansion of 0.5 in n 4.405 * [backup-simplify]: Simplify 0.5 into 0.5 4.405 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.405 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.405 * [taylor]: Taking taylor expansion of k in n 4.405 * [backup-simplify]: Simplify k into k 4.405 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.405 * [taylor]: Taking taylor expansion of 1.0 in n 4.405 * [backup-simplify]: Simplify 1.0 into 1.0 4.405 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.405 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.405 * [taylor]: Taking taylor expansion of -2.0 in n 4.405 * [backup-simplify]: Simplify -2.0 into -2.0 4.405 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.405 * [taylor]: Taking taylor expansion of PI in n 4.405 * [backup-simplify]: Simplify PI into PI 4.405 * [taylor]: Taking taylor expansion of n in n 4.405 * [backup-simplify]: Simplify 0 into 0 4.405 * [backup-simplify]: Simplify 1 into 1 4.405 * [backup-simplify]: Simplify (/ PI 1) into PI 4.406 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.406 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.406 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.406 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 4.407 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.408 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 4.409 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 4.409 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 4.409 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 4.409 * [taylor]: Taking taylor expansion of 0.5 in k 4.409 * [backup-simplify]: Simplify 0.5 into 0.5 4.409 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 4.409 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.409 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.409 * [taylor]: Taking taylor expansion of k in k 4.409 * [backup-simplify]: Simplify 0 into 0 4.409 * [backup-simplify]: Simplify 1 into 1 4.409 * [backup-simplify]: Simplify (/ 1 1) into 1 4.409 * [taylor]: Taking taylor expansion of 1.0 in k 4.409 * [backup-simplify]: Simplify 1.0 into 1.0 4.409 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 4.409 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 4.409 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 4.409 * [taylor]: Taking taylor expansion of -2.0 in k 4.409 * [backup-simplify]: Simplify -2.0 into -2.0 4.409 * [taylor]: Taking taylor expansion of PI in k 4.410 * [backup-simplify]: Simplify PI into PI 4.410 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.410 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.410 * [taylor]: Taking taylor expansion of (log n) in k 4.411 * [taylor]: Taking taylor expansion of n in k 4.411 * [backup-simplify]: Simplify n into n 4.411 * [backup-simplify]: Simplify (log n) into (log n) 4.411 * [backup-simplify]: Simplify (+ 1 0) into 1 4.411 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 4.412 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 4.412 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 4.413 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 4.414 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 4.414 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 4.415 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.416 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 4.417 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 4.417 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.417 * [backup-simplify]: Simplify (+ 0 0) into 0 4.417 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 4.418 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.419 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 4.420 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.420 * [taylor]: Taking taylor expansion of 0 in k 4.420 * [backup-simplify]: Simplify 0 into 0 4.420 * [backup-simplify]: Simplify 0 into 0 4.420 * [backup-simplify]: Simplify 0 into 0 4.421 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.425 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.427 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0 4.427 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.427 * [backup-simplify]: Simplify (+ 0 0) into 0 4.428 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 4.429 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.430 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 4.431 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.432 * [taylor]: Taking taylor expansion of 0 in k 4.432 * [backup-simplify]: Simplify 0 into 0 4.432 * [backup-simplify]: Simplify 0 into 0 4.432 * [backup-simplify]: Simplify 0 into 0 4.432 * [backup-simplify]: Simplify 0 into 0 4.432 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.433 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.436 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2.0 PI) 1)))) 6) into 0 4.436 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.437 * [backup-simplify]: Simplify (+ 0 0) into 0 4.438 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 4.439 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.440 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 4.441 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.441 * [taylor]: Taking taylor expansion of 0 in k 4.441 * [backup-simplify]: Simplify 0 into 0 4.442 * [backup-simplify]: Simplify 0 into 0 4.442 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))) into (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 4.442 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 4.443 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 4.443 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 4.443 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 4.443 * [taylor]: Taking taylor expansion of 1.0 in k 4.443 * [backup-simplify]: Simplify 1.0 into 1.0 4.443 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.443 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.443 * [taylor]: Taking taylor expansion of k in k 4.443 * [backup-simplify]: Simplify 0 into 0 4.443 * [backup-simplify]: Simplify 1 into 1 4.443 * [backup-simplify]: Simplify (/ 1 1) into 1 4.443 * [backup-simplify]: Simplify (sqrt 0) into 0 4.444 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.444 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 4.444 * [taylor]: Taking taylor expansion of 1.0 in k 4.444 * [backup-simplify]: Simplify 1.0 into 1.0 4.444 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.444 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.444 * [taylor]: Taking taylor expansion of k in k 4.444 * [backup-simplify]: Simplify 0 into 0 4.444 * [backup-simplify]: Simplify 1 into 1 4.445 * [backup-simplify]: Simplify (/ 1 1) into 1 4.445 * [backup-simplify]: Simplify (sqrt 0) into 0 4.446 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.446 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.446 * [backup-simplify]: Simplify 0 into 0 4.447 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 4.447 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.450 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.451 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 4.451 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.457 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.460 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 4.460 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.462 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 4.462 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 4.462 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 4.462 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 4.462 * [taylor]: Taking taylor expansion of 1.0 in k 4.462 * [backup-simplify]: Simplify 1.0 into 1.0 4.462 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.462 * [taylor]: Taking taylor expansion of k in k 4.462 * [backup-simplify]: Simplify 0 into 0 4.462 * [backup-simplify]: Simplify 1 into 1 4.462 * [backup-simplify]: Simplify (sqrt 0) into 0 4.464 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.464 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 4.464 * [taylor]: Taking taylor expansion of 1.0 in k 4.464 * [backup-simplify]: Simplify 1.0 into 1.0 4.464 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.464 * [taylor]: Taking taylor expansion of k in k 4.464 * [backup-simplify]: Simplify 0 into 0 4.464 * [backup-simplify]: Simplify 1 into 1 4.465 * [backup-simplify]: Simplify (sqrt 0) into 0 4.466 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.466 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.466 * [backup-simplify]: Simplify 0 into 0 4.468 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 4.468 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.471 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.474 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 4.474 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.478 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.480 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 4.481 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.483 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 k) 3)) (+ (* (- +nan.0) (pow (/ 1 k) 2)) (* (- +nan.0) (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 4.483 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 4.483 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 4.483 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 4.483 * [taylor]: Taking taylor expansion of 1.0 in k 4.483 * [backup-simplify]: Simplify 1.0 into 1.0 4.483 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.483 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.483 * [taylor]: Taking taylor expansion of -1 in k 4.483 * [backup-simplify]: Simplify -1 into -1 4.483 * [taylor]: Taking taylor expansion of k in k 4.483 * [backup-simplify]: Simplify 0 into 0 4.483 * [backup-simplify]: Simplify 1 into 1 4.484 * [backup-simplify]: Simplify (/ -1 1) into -1 4.484 * [backup-simplify]: Simplify (sqrt 0) into 0 4.485 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.486 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 4.486 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 4.486 * [taylor]: Taking taylor expansion of 1.0 in k 4.486 * [backup-simplify]: Simplify 1.0 into 1.0 4.486 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.486 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.486 * [taylor]: Taking taylor expansion of -1 in k 4.486 * [backup-simplify]: Simplify -1 into -1 4.486 * [taylor]: Taking taylor expansion of k in k 4.486 * [backup-simplify]: Simplify 0 into 0 4.486 * [backup-simplify]: Simplify 1 into 1 4.486 * [backup-simplify]: Simplify (/ -1 1) into -1 4.487 * [backup-simplify]: Simplify (sqrt 0) into 0 4.488 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.488 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 4.489 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.489 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.492 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.495 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 4.495 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.496 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.500 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.505 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 4.505 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.507 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 4.507 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 4.507 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 4.507 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 4.507 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.507 * [taylor]: Taking taylor expansion of 2.0 in n 4.507 * [backup-simplify]: Simplify 2.0 into 2.0 4.507 * [taylor]: Taking taylor expansion of (* n PI) in n 4.507 * [taylor]: Taking taylor expansion of n in n 4.507 * [backup-simplify]: Simplify 0 into 0 4.507 * [backup-simplify]: Simplify 1 into 1 4.507 * [taylor]: Taking taylor expansion of PI in n 4.507 * [backup-simplify]: Simplify PI into PI 4.507 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.507 * [taylor]: Taking taylor expansion of 2.0 in n 4.507 * [backup-simplify]: Simplify 2.0 into 2.0 4.507 * [taylor]: Taking taylor expansion of (* n PI) in n 4.507 * [taylor]: Taking taylor expansion of n in n 4.507 * [backup-simplify]: Simplify 0 into 0 4.507 * [backup-simplify]: Simplify 1 into 1 4.507 * [taylor]: Taking taylor expansion of PI in n 4.507 * [backup-simplify]: Simplify PI into PI 4.508 * [backup-simplify]: Simplify (* 0 PI) into 0 4.508 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.508 * [backup-simplify]: Simplify 0 into 0 4.509 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.510 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.510 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.511 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 4.511 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 4.511 * [backup-simplify]: Simplify 0 into 0 4.512 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 4.513 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 4.513 * [backup-simplify]: Simplify 0 into 0 4.514 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 4.515 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 4.515 * [backup-simplify]: Simplify 0 into 0 4.516 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 4.517 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 4.517 * [backup-simplify]: Simplify 0 into 0 4.518 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 4.519 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 4.519 * [backup-simplify]: Simplify 0 into 0 4.520 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 4.521 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 4.522 * [backup-simplify]: Simplify 0 into 0 4.522 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 4.522 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 4.522 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 4.522 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.522 * [taylor]: Taking taylor expansion of 2.0 in n 4.522 * [backup-simplify]: Simplify 2.0 into 2.0 4.522 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.522 * [taylor]: Taking taylor expansion of PI in n 4.522 * [backup-simplify]: Simplify PI into PI 4.522 * [taylor]: Taking taylor expansion of n in n 4.522 * [backup-simplify]: Simplify 0 into 0 4.522 * [backup-simplify]: Simplify 1 into 1 4.523 * [backup-simplify]: Simplify (/ PI 1) into PI 4.523 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.523 * [taylor]: Taking taylor expansion of 2.0 in n 4.523 * [backup-simplify]: Simplify 2.0 into 2.0 4.523 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.523 * [taylor]: Taking taylor expansion of PI in n 4.523 * [backup-simplify]: Simplify PI into PI 4.523 * [taylor]: Taking taylor expansion of n in n 4.523 * [backup-simplify]: Simplify 0 into 0 4.523 * [backup-simplify]: Simplify 1 into 1 4.523 * [backup-simplify]: Simplify (/ PI 1) into PI 4.524 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.524 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.524 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.525 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 4.525 * [backup-simplify]: Simplify 0 into 0 4.526 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.526 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.526 * [backup-simplify]: Simplify 0 into 0 4.527 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.527 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.527 * [backup-simplify]: Simplify 0 into 0 4.528 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.529 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 4.529 * [backup-simplify]: Simplify 0 into 0 4.529 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.530 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 4.530 * [backup-simplify]: Simplify 0 into 0 4.531 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.532 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 4.532 * [backup-simplify]: Simplify 0 into 0 4.532 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 4.533 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 4.533 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 4.533 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.533 * [taylor]: Taking taylor expansion of -2.0 in n 4.533 * [backup-simplify]: Simplify -2.0 into -2.0 4.533 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.533 * [taylor]: Taking taylor expansion of PI in n 4.533 * [backup-simplify]: Simplify PI into PI 4.533 * [taylor]: Taking taylor expansion of n in n 4.533 * [backup-simplify]: Simplify 0 into 0 4.533 * [backup-simplify]: Simplify 1 into 1 4.533 * [backup-simplify]: Simplify (/ PI 1) into PI 4.533 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.533 * [taylor]: Taking taylor expansion of -2.0 in n 4.533 * [backup-simplify]: Simplify -2.0 into -2.0 4.533 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.533 * [taylor]: Taking taylor expansion of PI in n 4.533 * [backup-simplify]: Simplify PI into PI 4.533 * [taylor]: Taking taylor expansion of n in n 4.533 * [backup-simplify]: Simplify 0 into 0 4.533 * [backup-simplify]: Simplify 1 into 1 4.534 * [backup-simplify]: Simplify (/ PI 1) into PI 4.534 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.534 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.535 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.538 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 4.538 * [backup-simplify]: Simplify 0 into 0 4.539 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.540 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.540 * [backup-simplify]: Simplify 0 into 0 4.540 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.541 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.541 * [backup-simplify]: Simplify 0 into 0 4.542 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.543 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 4.543 * [backup-simplify]: Simplify 0 into 0 4.543 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.544 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 4.544 * [backup-simplify]: Simplify 0 into 0 4.545 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.546 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 4.546 * [backup-simplify]: Simplify 0 into 0 4.546 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 4.546 * * * * [progress]: [ 4 / 4 ] generating series at (2) 4.547 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) into (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) 4.547 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in (k n) around 0 4.547 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 4.547 * [taylor]: Taking taylor expansion of 1.0 in n 4.547 * [backup-simplify]: Simplify 1.0 into 1.0 4.547 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 4.547 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.547 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.547 * [taylor]: Taking taylor expansion of k in n 4.547 * [backup-simplify]: Simplify k into k 4.547 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.547 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 4.547 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.547 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 4.547 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.547 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.547 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.547 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.547 * [taylor]: Taking taylor expansion of 0.5 in n 4.547 * [backup-simplify]: Simplify 0.5 into 0.5 4.547 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.547 * [taylor]: Taking taylor expansion of 1.0 in n 4.547 * [backup-simplify]: Simplify 1.0 into 1.0 4.547 * [taylor]: Taking taylor expansion of k in n 4.547 * [backup-simplify]: Simplify k into k 4.547 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.547 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.547 * [taylor]: Taking taylor expansion of 2.0 in n 4.547 * [backup-simplify]: Simplify 2.0 into 2.0 4.547 * [taylor]: Taking taylor expansion of (* n PI) in n 4.547 * [taylor]: Taking taylor expansion of n in n 4.547 * [backup-simplify]: Simplify 0 into 0 4.547 * [backup-simplify]: Simplify 1 into 1 4.548 * [taylor]: Taking taylor expansion of PI in n 4.548 * [backup-simplify]: Simplify PI into PI 4.548 * [backup-simplify]: Simplify (* 0 PI) into 0 4.548 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.549 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.550 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.551 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.551 * [backup-simplify]: Simplify (- k) into (- k) 4.551 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 4.551 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 4.552 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.553 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 4.554 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 4.555 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 4.555 * [taylor]: Taking taylor expansion of 1.0 in k 4.555 * [backup-simplify]: Simplify 1.0 into 1.0 4.555 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 4.555 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.555 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.555 * [taylor]: Taking taylor expansion of k in k 4.555 * [backup-simplify]: Simplify 0 into 0 4.555 * [backup-simplify]: Simplify 1 into 1 4.555 * [backup-simplify]: Simplify (/ 1 1) into 1 4.556 * [backup-simplify]: Simplify (sqrt 0) into 0 4.557 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.557 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.557 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.557 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.557 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.557 * [taylor]: Taking taylor expansion of 0.5 in k 4.557 * [backup-simplify]: Simplify 0.5 into 0.5 4.557 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.557 * [taylor]: Taking taylor expansion of 1.0 in k 4.557 * [backup-simplify]: Simplify 1.0 into 1.0 4.557 * [taylor]: Taking taylor expansion of k in k 4.557 * [backup-simplify]: Simplify 0 into 0 4.558 * [backup-simplify]: Simplify 1 into 1 4.558 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.558 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.558 * [taylor]: Taking taylor expansion of 2.0 in k 4.558 * [backup-simplify]: Simplify 2.0 into 2.0 4.558 * [taylor]: Taking taylor expansion of (* n PI) in k 4.558 * [taylor]: Taking taylor expansion of n in k 4.558 * [backup-simplify]: Simplify n into n 4.558 * [taylor]: Taking taylor expansion of PI in k 4.558 * [backup-simplify]: Simplify PI into PI 4.558 * [backup-simplify]: Simplify (* n PI) into (* n PI) 4.558 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 4.558 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 4.558 * [backup-simplify]: Simplify (- 0) into 0 4.559 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.559 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.559 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 4.560 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 4.560 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 4.560 * [taylor]: Taking taylor expansion of 1.0 in k 4.560 * [backup-simplify]: Simplify 1.0 into 1.0 4.560 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 4.560 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.560 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.560 * [taylor]: Taking taylor expansion of k in k 4.560 * [backup-simplify]: Simplify 0 into 0 4.560 * [backup-simplify]: Simplify 1 into 1 4.560 * [backup-simplify]: Simplify (/ 1 1) into 1 4.561 * [backup-simplify]: Simplify (sqrt 0) into 0 4.562 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.562 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.562 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.562 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.562 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.562 * [taylor]: Taking taylor expansion of 0.5 in k 4.562 * [backup-simplify]: Simplify 0.5 into 0.5 4.562 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.562 * [taylor]: Taking taylor expansion of 1.0 in k 4.562 * [backup-simplify]: Simplify 1.0 into 1.0 4.562 * [taylor]: Taking taylor expansion of k in k 4.562 * [backup-simplify]: Simplify 0 into 0 4.562 * [backup-simplify]: Simplify 1 into 1 4.562 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.562 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.562 * [taylor]: Taking taylor expansion of 2.0 in k 4.562 * [backup-simplify]: Simplify 2.0 into 2.0 4.562 * [taylor]: Taking taylor expansion of (* n PI) in k 4.562 * [taylor]: Taking taylor expansion of n in k 4.562 * [backup-simplify]: Simplify n into n 4.562 * [taylor]: Taking taylor expansion of PI in k 4.562 * [backup-simplify]: Simplify PI into PI 4.562 * [backup-simplify]: Simplify (* n PI) into (* n PI) 4.563 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 4.563 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 4.563 * [backup-simplify]: Simplify (- 0) into 0 4.564 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.564 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.564 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 4.565 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 4.565 * [backup-simplify]: Simplify (* 0 (pow (* 2.0 (* n PI)) 0.5)) into 0 4.565 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.565 * [taylor]: Taking taylor expansion of 0 in n 4.565 * [backup-simplify]: Simplify 0 into 0 4.565 * [backup-simplify]: Simplify 0 into 0 4.566 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 4.567 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (* n PI))) into 0 4.567 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 1) into 0 4.568 * [backup-simplify]: Simplify (- 1) into -1 4.568 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.570 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 4.570 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 (* n PI))))) into (- (* 0.5 (log (* 2.0 (* n PI))))) 4.571 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 1) 1)))) into (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 4.572 * [backup-simplify]: Simplify (+ (* 0 (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (* +nan.0 (pow (* 2.0 (* n PI)) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 4.573 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0)) into (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 4.573 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 4.573 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 4.573 * [taylor]: Taking taylor expansion of +nan.0 in n 4.573 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.573 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.573 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.573 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.573 * [taylor]: Taking taylor expansion of 0.5 in n 4.573 * [backup-simplify]: Simplify 0.5 into 0.5 4.573 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.573 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.573 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.573 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.573 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.573 * [taylor]: Taking taylor expansion of 1.0 in n 4.573 * [backup-simplify]: Simplify 1.0 into 1.0 4.573 * [taylor]: Taking taylor expansion of (log PI) in n 4.574 * [taylor]: Taking taylor expansion of PI in n 4.574 * [backup-simplify]: Simplify PI into PI 4.574 * [backup-simplify]: Simplify (log PI) into (log PI) 4.574 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.575 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.575 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.575 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.575 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.575 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.575 * [taylor]: Taking taylor expansion of 1.0 in n 4.576 * [backup-simplify]: Simplify 1.0 into 1.0 4.576 * [taylor]: Taking taylor expansion of (log n) in n 4.576 * [taylor]: Taking taylor expansion of n in n 4.576 * [backup-simplify]: Simplify 0 into 0 4.576 * [backup-simplify]: Simplify 1 into 1 4.576 * [backup-simplify]: Simplify (log 1) into 0 4.576 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.576 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.576 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.576 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.576 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.576 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.576 * [taylor]: Taking taylor expansion of 1.0 in n 4.576 * [backup-simplify]: Simplify 1.0 into 1.0 4.576 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.576 * [taylor]: Taking taylor expansion of 2.0 in n 4.576 * [backup-simplify]: Simplify 2.0 into 2.0 4.577 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.577 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.578 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.579 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 4.579 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 4.580 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 4.581 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 4.582 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 4.583 * [backup-simplify]: Simplify (* +nan.0 (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 4.584 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 4.584 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 4.585 * [backup-simplify]: Simplify 0 into 0 4.585 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 4.586 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 4.587 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 2) into 0 4.587 * [backup-simplify]: Simplify (- 0) into 0 4.587 * [backup-simplify]: Simplify (+ 0 0) into 0 4.588 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 4.588 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 (* n PI)))))) into 0 4.589 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log (* 2.0 (* n PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 4.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.591 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.594 * [backup-simplify]: Simplify (+ (* 0 (* 0.125 (* (pow (log (* 2.0 (* n PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (+ (* +nan.0 (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (* +nan.0 (pow (* 2.0 (* n PI)) 0.5)))) into (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) 4.597 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0))) into (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) 4.597 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) in n 4.597 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))) in n 4.597 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 4.597 * [taylor]: Taking taylor expansion of +nan.0 in n 4.597 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.597 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.597 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.597 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.597 * [taylor]: Taking taylor expansion of 0.5 in n 4.597 * [backup-simplify]: Simplify 0.5 into 0.5 4.597 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.597 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.597 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.597 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.597 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.597 * [taylor]: Taking taylor expansion of 1.0 in n 4.597 * [backup-simplify]: Simplify 1.0 into 1.0 4.597 * [taylor]: Taking taylor expansion of (log PI) in n 4.597 * [taylor]: Taking taylor expansion of PI in n 4.597 * [backup-simplify]: Simplify PI into PI 4.597 * [backup-simplify]: Simplify (log PI) into (log PI) 4.598 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.599 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.599 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.599 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.599 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.599 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.599 * [taylor]: Taking taylor expansion of 1.0 in n 4.599 * [backup-simplify]: Simplify 1.0 into 1.0 4.599 * [taylor]: Taking taylor expansion of (log n) in n 4.599 * [taylor]: Taking taylor expansion of n in n 4.599 * [backup-simplify]: Simplify 0 into 0 4.599 * [backup-simplify]: Simplify 1 into 1 4.599 * [backup-simplify]: Simplify (log 1) into 0 4.600 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.600 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.600 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.600 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.600 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.600 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.600 * [taylor]: Taking taylor expansion of 1.0 in n 4.600 * [backup-simplify]: Simplify 1.0 into 1.0 4.600 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.600 * [taylor]: Taking taylor expansion of 2.0 in n 4.600 * [backup-simplify]: Simplify 2.0 into 2.0 4.600 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.601 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.602 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.602 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 4.603 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 4.605 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 4.606 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 4.608 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 4.608 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))) in n 4.608 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 4.608 * [taylor]: Taking taylor expansion of +nan.0 in n 4.608 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.608 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 4.608 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 4.608 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 4.608 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 4.608 * [taylor]: Taking taylor expansion of 0.5 in n 4.608 * [backup-simplify]: Simplify 0.5 into 0.5 4.608 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 4.608 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 4.608 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.608 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.608 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.608 * [taylor]: Taking taylor expansion of 1.0 in n 4.608 * [backup-simplify]: Simplify 1.0 into 1.0 4.609 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.609 * [taylor]: Taking taylor expansion of 2.0 in n 4.609 * [backup-simplify]: Simplify 2.0 into 2.0 4.609 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.610 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.611 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.611 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 4.611 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.611 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.612 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.612 * [taylor]: Taking taylor expansion of 1.0 in n 4.612 * [backup-simplify]: Simplify 1.0 into 1.0 4.612 * [taylor]: Taking taylor expansion of (log PI) in n 4.612 * [taylor]: Taking taylor expansion of PI in n 4.612 * [backup-simplify]: Simplify PI into PI 4.612 * [backup-simplify]: Simplify (log PI) into (log PI) 4.613 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.615 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.615 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.615 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.615 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.615 * [taylor]: Taking taylor expansion of 1.0 in n 4.615 * [backup-simplify]: Simplify 1.0 into 1.0 4.615 * [taylor]: Taking taylor expansion of (log n) in n 4.615 * [taylor]: Taking taylor expansion of n in n 4.615 * [backup-simplify]: Simplify 0 into 0 4.615 * [backup-simplify]: Simplify 1 into 1 4.615 * [backup-simplify]: Simplify (log 1) into 0 4.616 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.616 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.616 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.617 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 4.618 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 4.619 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 4.621 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 4.622 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 4.622 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.622 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.622 * [taylor]: Taking taylor expansion of 2.0 in n 4.622 * [backup-simplify]: Simplify 2.0 into 2.0 4.622 * [taylor]: Taking taylor expansion of (* n PI) in n 4.622 * [taylor]: Taking taylor expansion of n in n 4.623 * [backup-simplify]: Simplify 0 into 0 4.623 * [backup-simplify]: Simplify 1 into 1 4.623 * [taylor]: Taking taylor expansion of PI in n 4.623 * [backup-simplify]: Simplify PI into PI 4.623 * [backup-simplify]: Simplify (* 0 PI) into 0 4.624 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.625 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.627 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.628 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.630 * [backup-simplify]: Simplify (* +nan.0 (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 4.631 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.633 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (+ (log (* 2.0 PI)) (log n))) into (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 4.634 * [backup-simplify]: Simplify (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 4.636 * [backup-simplify]: Simplify (- (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))) 4.639 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))) into (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 4.643 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))) into (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 4.647 * [backup-simplify]: Simplify (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 4.648 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 4.649 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 4.653 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 4.654 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.654 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.655 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 4.655 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 4.656 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 4.657 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 4.657 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 4.658 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 4.660 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0 4.662 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1)))) 1) into 0 4.664 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)))) into 0 4.666 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 4.668 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5))) into 0 4.668 * [backup-simplify]: Simplify (- 0) into 0 4.668 * [backup-simplify]: Simplify 0 into 0 4.668 * [backup-simplify]: Simplify 0 into 0 4.668 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.669 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 4.671 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 (* n PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 (* n PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 6) into 0 4.672 * [backup-simplify]: Simplify (- 0) into 0 4.672 * [backup-simplify]: Simplify (+ 0 0) into 0 4.673 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 4.674 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 (* n PI))))))) into 0 4.675 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 3) 6)) (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (log (* 2.0 (* n PI))) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 4.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.678 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.681 * [backup-simplify]: Simplify (+ (* 0 (* -0.020833333333333332 (* (pow (log (* 2.0 (* n PI))) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (+ (* +nan.0 (* 0.125 (* (pow (log (* 2.0 (* n PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (+ (* +nan.0 (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (* +nan.0 (pow (* 2.0 (* n PI)) 0.5))))) into (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) 4.688 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))))) (+ (* 0 (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0)))) into (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) 4.688 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) in n 4.688 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))) in n 4.688 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 4.688 * [taylor]: Taking taylor expansion of +nan.0 in n 4.688 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.688 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.688 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.688 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.689 * [taylor]: Taking taylor expansion of 0.5 in n 4.689 * [backup-simplify]: Simplify 0.5 into 0.5 4.689 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.689 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.689 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.689 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.689 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.689 * [taylor]: Taking taylor expansion of 1.0 in n 4.689 * [backup-simplify]: Simplify 1.0 into 1.0 4.689 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.689 * [taylor]: Taking taylor expansion of 2.0 in n 4.689 * [backup-simplify]: Simplify 2.0 into 2.0 4.689 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.690 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.690 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.691 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.691 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.691 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.691 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.691 * [taylor]: Taking taylor expansion of 1.0 in n 4.691 * [backup-simplify]: Simplify 1.0 into 1.0 4.691 * [taylor]: Taking taylor expansion of (log n) in n 4.691 * [taylor]: Taking taylor expansion of n in n 4.691 * [backup-simplify]: Simplify 0 into 0 4.691 * [backup-simplify]: Simplify 1 into 1 4.691 * [backup-simplify]: Simplify (log 1) into 0 4.691 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.691 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.691 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.691 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.691 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.691 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.691 * [taylor]: Taking taylor expansion of 1.0 in n 4.691 * [backup-simplify]: Simplify 1.0 into 1.0 4.691 * [taylor]: Taking taylor expansion of (log PI) in n 4.692 * [taylor]: Taking taylor expansion of PI in n 4.692 * [backup-simplify]: Simplify PI into PI 4.692 * [backup-simplify]: Simplify (log PI) into (log PI) 4.692 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.694 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.694 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 4.695 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 4.696 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 4.698 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 4.699 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 4.699 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))) in n 4.699 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))) in n 4.699 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 4.699 * [taylor]: Taking taylor expansion of +nan.0 in n 4.699 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.699 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 4.699 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 4.699 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 4.699 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 4.700 * [taylor]: Taking taylor expansion of 0.5 in n 4.700 * [backup-simplify]: Simplify 0.5 into 0.5 4.700 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 4.700 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 4.700 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.700 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.700 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.700 * [taylor]: Taking taylor expansion of 1.0 in n 4.700 * [backup-simplify]: Simplify 1.0 into 1.0 4.700 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.700 * [taylor]: Taking taylor expansion of 2.0 in n 4.700 * [backup-simplify]: Simplify 2.0 into 2.0 4.700 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.701 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.703 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.703 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 4.703 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.703 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.703 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.703 * [taylor]: Taking taylor expansion of 1.0 in n 4.703 * [backup-simplify]: Simplify 1.0 into 1.0 4.703 * [taylor]: Taking taylor expansion of (log PI) in n 4.703 * [taylor]: Taking taylor expansion of PI in n 4.703 * [backup-simplify]: Simplify PI into PI 4.703 * [backup-simplify]: Simplify (log PI) into (log PI) 4.704 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.706 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.706 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.706 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.706 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.706 * [taylor]: Taking taylor expansion of 1.0 in n 4.706 * [backup-simplify]: Simplify 1.0 into 1.0 4.706 * [taylor]: Taking taylor expansion of (log n) in n 4.706 * [taylor]: Taking taylor expansion of n in n 4.706 * [backup-simplify]: Simplify 0 into 0 4.706 * [backup-simplify]: Simplify 1 into 1 4.707 * [backup-simplify]: Simplify (log 1) into 0 4.707 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.707 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.707 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.708 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 4.709 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 4.710 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 4.712 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 4.713 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 4.713 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.713 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.713 * [taylor]: Taking taylor expansion of 2.0 in n 4.713 * [backup-simplify]: Simplify 2.0 into 2.0 4.714 * [taylor]: Taking taylor expansion of (* n PI) in n 4.714 * [taylor]: Taking taylor expansion of n in n 4.714 * [backup-simplify]: Simplify 0 into 0 4.714 * [backup-simplify]: Simplify 1 into 1 4.714 * [taylor]: Taking taylor expansion of PI in n 4.714 * [backup-simplify]: Simplify PI into PI 4.714 * [backup-simplify]: Simplify (* 0 PI) into 0 4.715 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.716 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.718 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.719 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.719 * [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 4.719 * [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 4.719 * [taylor]: Taking taylor expansion of +nan.0 in n 4.719 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.719 * [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 4.719 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 4.719 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 4.719 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 4.719 * [taylor]: Taking taylor expansion of 0.5 in n 4.719 * [backup-simplify]: Simplify 0.5 into 0.5 4.719 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 4.719 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 4.719 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.719 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.719 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.719 * [taylor]: Taking taylor expansion of 1.0 in n 4.720 * [backup-simplify]: Simplify 1.0 into 1.0 4.720 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.720 * [taylor]: Taking taylor expansion of 2.0 in n 4.720 * [backup-simplify]: Simplify 2.0 into 2.0 4.720 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.721 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.723 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.723 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 4.723 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.723 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.723 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.723 * [taylor]: Taking taylor expansion of 1.0 in n 4.723 * [backup-simplify]: Simplify 1.0 into 1.0 4.723 * [taylor]: Taking taylor expansion of (log PI) in n 4.723 * [taylor]: Taking taylor expansion of PI in n 4.723 * [backup-simplify]: Simplify PI into PI 4.723 * [backup-simplify]: Simplify (log PI) into (log PI) 4.724 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.726 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.726 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.726 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.726 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.726 * [taylor]: Taking taylor expansion of 1.0 in n 4.726 * [backup-simplify]: Simplify 1.0 into 1.0 4.726 * [taylor]: Taking taylor expansion of (log n) in n 4.726 * [taylor]: Taking taylor expansion of n in n 4.726 * [backup-simplify]: Simplify 0 into 0 4.726 * [backup-simplify]: Simplify 1 into 1 4.727 * [backup-simplify]: Simplify (log 1) into 0 4.727 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.727 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.727 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.728 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 4.729 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 4.731 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 4.732 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 4.734 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 4.734 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 4.734 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.734 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.734 * [taylor]: Taking taylor expansion of 2.0 in n 4.734 * [backup-simplify]: Simplify 2.0 into 2.0 4.734 * [taylor]: Taking taylor expansion of (* n PI) in n 4.734 * [taylor]: Taking taylor expansion of n in n 4.734 * [backup-simplify]: Simplify 0 into 0 4.734 * [backup-simplify]: Simplify 1 into 1 4.734 * [taylor]: Taking taylor expansion of PI in n 4.734 * [backup-simplify]: Simplify PI into PI 4.735 * [backup-simplify]: Simplify (* 0 PI) into 0 4.735 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.737 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.738 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.739 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.741 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.743 * [backup-simplify]: Simplify (* +nan.0 (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 4.744 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.747 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (+ (log (* 2.0 PI)) (log n))) into (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 4.749 * [backup-simplify]: Simplify (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 4.751 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.752 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.753 * [backup-simplify]: Simplify (* (+ (log (* 2.0 PI)) (log n)) (+ (log (* 2.0 PI)) (log n))) into (pow (+ (log (* 2.0 PI)) (log n)) 2) 4.755 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (pow (+ (log (* 2.0 PI)) (log n)) 2)) into (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 4.756 * [backup-simplify]: Simplify (* +nan.0 (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (* +nan.0 (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 4.758 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) into (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 4.765 * [backup-simplify]: Simplify (+ (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))))))) 4.778 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))) 4.795 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) 4.813 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) 4.830 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) 4.858 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) (pow (* 1 k) 2)) (+ (* (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) (* 1 k)) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) into (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))))))))))) 4.859 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 k))) (pow (* (* 2.0 PI) (/ 1 n)) (/ (- 1.0 (/ 1 k)) 2.0))) into (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) 4.859 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in (k n) around 0 4.859 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 4.859 * [taylor]: Taking taylor expansion of 1.0 in n 4.859 * [backup-simplify]: Simplify 1.0 into 1.0 4.859 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 4.859 * [taylor]: Taking taylor expansion of (sqrt k) in n 4.859 * [taylor]: Taking taylor expansion of k in n 4.859 * [backup-simplify]: Simplify k into k 4.860 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 4.860 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 4.860 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.860 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.860 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.860 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.860 * [taylor]: Taking taylor expansion of 0.5 in n 4.860 * [backup-simplify]: Simplify 0.5 into 0.5 4.860 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.860 * [taylor]: Taking taylor expansion of 1.0 in n 4.860 * [backup-simplify]: Simplify 1.0 into 1.0 4.860 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.860 * [taylor]: Taking taylor expansion of k in n 4.860 * [backup-simplify]: Simplify k into k 4.860 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.860 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.860 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.860 * [taylor]: Taking taylor expansion of 2.0 in n 4.860 * [backup-simplify]: Simplify 2.0 into 2.0 4.860 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.860 * [taylor]: Taking taylor expansion of PI in n 4.860 * [backup-simplify]: Simplify PI into PI 4.860 * [taylor]: Taking taylor expansion of n in n 4.860 * [backup-simplify]: Simplify 0 into 0 4.860 * [backup-simplify]: Simplify 1 into 1 4.861 * [backup-simplify]: Simplify (/ PI 1) into PI 4.861 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.862 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.862 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.863 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.863 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 4.864 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.865 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 4.866 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 4.866 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 4.867 * [taylor]: Taking taylor expansion of 1.0 in k 4.867 * [backup-simplify]: Simplify 1.0 into 1.0 4.867 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 4.867 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.867 * [taylor]: Taking taylor expansion of k in k 4.867 * [backup-simplify]: Simplify 0 into 0 4.867 * [backup-simplify]: Simplify 1 into 1 4.867 * [backup-simplify]: Simplify (sqrt 0) into 0 4.868 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.869 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.869 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.869 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.869 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.869 * [taylor]: Taking taylor expansion of 0.5 in k 4.869 * [backup-simplify]: Simplify 0.5 into 0.5 4.869 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.869 * [taylor]: Taking taylor expansion of 1.0 in k 4.869 * [backup-simplify]: Simplify 1.0 into 1.0 4.869 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.869 * [taylor]: Taking taylor expansion of k in k 4.869 * [backup-simplify]: Simplify 0 into 0 4.869 * [backup-simplify]: Simplify 1 into 1 4.869 * [backup-simplify]: Simplify (/ 1 1) into 1 4.869 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.869 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.869 * [taylor]: Taking taylor expansion of 2.0 in k 4.869 * [backup-simplify]: Simplify 2.0 into 2.0 4.869 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.869 * [taylor]: Taking taylor expansion of PI in k 4.869 * [backup-simplify]: Simplify PI into PI 4.869 * [taylor]: Taking taylor expansion of n in k 4.869 * [backup-simplify]: Simplify n into n 4.870 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.870 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 4.870 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 4.870 * [backup-simplify]: Simplify (- 1) into -1 4.871 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.871 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 4.871 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 4.872 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 4.872 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 4.872 * [taylor]: Taking taylor expansion of 1.0 in k 4.872 * [backup-simplify]: Simplify 1.0 into 1.0 4.872 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 4.872 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.872 * [taylor]: Taking taylor expansion of k in k 4.872 * [backup-simplify]: Simplify 0 into 0 4.872 * [backup-simplify]: Simplify 1 into 1 4.872 * [backup-simplify]: Simplify (sqrt 0) into 0 4.874 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.874 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.874 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.874 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.874 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.874 * [taylor]: Taking taylor expansion of 0.5 in k 4.874 * [backup-simplify]: Simplify 0.5 into 0.5 4.874 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.874 * [taylor]: Taking taylor expansion of 1.0 in k 4.874 * [backup-simplify]: Simplify 1.0 into 1.0 4.874 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.874 * [taylor]: Taking taylor expansion of k in k 4.874 * [backup-simplify]: Simplify 0 into 0 4.874 * [backup-simplify]: Simplify 1 into 1 4.874 * [backup-simplify]: Simplify (/ 1 1) into 1 4.874 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.874 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.874 * [taylor]: Taking taylor expansion of 2.0 in k 4.874 * [backup-simplify]: Simplify 2.0 into 2.0 4.874 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.875 * [taylor]: Taking taylor expansion of PI in k 4.875 * [backup-simplify]: Simplify PI into PI 4.875 * [taylor]: Taking taylor expansion of n in k 4.875 * [backup-simplify]: Simplify n into n 4.875 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.875 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 4.875 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 4.875 * [backup-simplify]: Simplify (- 1) into -1 4.876 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.876 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 4.876 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 4.876 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 4.877 * [backup-simplify]: Simplify (* 0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) into 0 4.877 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.877 * [taylor]: Taking taylor expansion of 0 in n 4.877 * [backup-simplify]: Simplify 0 into 0 4.877 * [backup-simplify]: Simplify 0 into 0 4.878 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 4.879 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (* 0 0)) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 4.879 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 4.879 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 4.879 * [taylor]: Taking taylor expansion of +nan.0 in n 4.879 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.879 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 4.879 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 4.879 * [taylor]: Taking taylor expansion of 0.5 in n 4.879 * [backup-simplify]: Simplify 0.5 into 0.5 4.879 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 4.879 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.879 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.879 * [taylor]: Taking taylor expansion of 2.0 in n 4.879 * [backup-simplify]: Simplify 2.0 into 2.0 4.879 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.879 * [taylor]: Taking taylor expansion of PI in n 4.879 * [backup-simplify]: Simplify PI into PI 4.879 * [taylor]: Taking taylor expansion of n in n 4.879 * [backup-simplify]: Simplify 0 into 0 4.879 * [backup-simplify]: Simplify 1 into 1 4.880 * [backup-simplify]: Simplify (/ PI 1) into PI 4.880 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.881 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.881 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.881 * [taylor]: Taking taylor expansion of 1.0 in n 4.881 * [backup-simplify]: Simplify 1.0 into 1.0 4.882 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.882 * [taylor]: Taking taylor expansion of k in n 4.882 * [backup-simplify]: Simplify k into k 4.882 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.883 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.883 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.883 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.884 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 4.886 * [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)))) 4.887 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 4.888 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) 4.889 * [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))))))) 4.891 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 4.891 * [backup-simplify]: Simplify 0 into 0 4.894 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.895 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 4.896 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (* 0 0))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 4.896 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 4.896 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 4.896 * [taylor]: Taking taylor expansion of +nan.0 in n 4.896 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.896 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 4.896 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 4.896 * [taylor]: Taking taylor expansion of 0.5 in n 4.896 * [backup-simplify]: Simplify 0.5 into 0.5 4.896 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 4.896 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.896 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.896 * [taylor]: Taking taylor expansion of 2.0 in n 4.897 * [backup-simplify]: Simplify 2.0 into 2.0 4.897 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.897 * [taylor]: Taking taylor expansion of PI in n 4.897 * [backup-simplify]: Simplify PI into PI 4.897 * [taylor]: Taking taylor expansion of n in n 4.897 * [backup-simplify]: Simplify 0 into 0 4.897 * [backup-simplify]: Simplify 1 into 1 4.897 * [backup-simplify]: Simplify (/ PI 1) into PI 4.898 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.899 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.899 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.899 * [taylor]: Taking taylor expansion of 1.0 in n 4.899 * [backup-simplify]: Simplify 1.0 into 1.0 4.899 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.899 * [taylor]: Taking taylor expansion of k in n 4.899 * [backup-simplify]: Simplify k into k 4.899 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.900 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.901 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.901 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.902 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 4.903 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 4.904 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 4.905 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) 4.907 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 4.908 * [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))))))) 4.910 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.910 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.910 * [backup-simplify]: Simplify (- 0) into 0 4.910 * [backup-simplify]: Simplify (+ 0 0) into 0 4.911 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.912 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 4.914 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 4.915 * [backup-simplify]: Simplify (+ (* (- (log (* 2.0 PI)) (log n)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 4.917 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into 0 4.919 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.921 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into 0 4.921 * [backup-simplify]: Simplify (- 0) into 0 4.921 * [backup-simplify]: Simplify 0 into 0 4.921 * [backup-simplify]: Simplify 0 into 0 4.930 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.932 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 4.933 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (* 0 0)))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 4.933 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 4.933 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 4.933 * [taylor]: Taking taylor expansion of +nan.0 in n 4.933 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.933 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 4.933 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 4.933 * [taylor]: Taking taylor expansion of 0.5 in n 4.933 * [backup-simplify]: Simplify 0.5 into 0.5 4.933 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 4.934 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.934 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.934 * [taylor]: Taking taylor expansion of 2.0 in n 4.934 * [backup-simplify]: Simplify 2.0 into 2.0 4.934 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.934 * [taylor]: Taking taylor expansion of PI in n 4.934 * [backup-simplify]: Simplify PI into PI 4.934 * [taylor]: Taking taylor expansion of n in n 4.934 * [backup-simplify]: Simplify 0 into 0 4.934 * [backup-simplify]: Simplify 1 into 1 4.934 * [backup-simplify]: Simplify (/ PI 1) into PI 4.935 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.936 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.936 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.936 * [taylor]: Taking taylor expansion of 1.0 in n 4.936 * [backup-simplify]: Simplify 1.0 into 1.0 4.936 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.936 * [taylor]: Taking taylor expansion of k in n 4.936 * [backup-simplify]: Simplify k into k 4.936 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.938 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.938 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.938 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.939 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 4.940 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 4.942 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 4.943 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) 4.944 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 4.946 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 4.951 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))))))) 4.952 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 (- k)))) (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (- 1.0 (/ 1 (- k))) 2.0))) into (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) 4.952 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k n) around 0 4.952 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 4.952 * [taylor]: Taking taylor expansion of 1.0 in n 4.952 * [backup-simplify]: Simplify 1.0 into 1.0 4.952 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 4.952 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.952 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.952 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.952 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.952 * [taylor]: Taking taylor expansion of 0.5 in n 4.952 * [backup-simplify]: Simplify 0.5 into 0.5 4.952 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.952 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.952 * [taylor]: Taking taylor expansion of k in n 4.952 * [backup-simplify]: Simplify k into k 4.952 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.952 * [taylor]: Taking taylor expansion of 1.0 in n 4.952 * [backup-simplify]: Simplify 1.0 into 1.0 4.952 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.952 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.952 * [taylor]: Taking taylor expansion of -2.0 in n 4.952 * [backup-simplify]: Simplify -2.0 into -2.0 4.952 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.952 * [taylor]: Taking taylor expansion of PI in n 4.952 * [backup-simplify]: Simplify PI into PI 4.953 * [taylor]: Taking taylor expansion of n in n 4.953 * [backup-simplify]: Simplify 0 into 0 4.953 * [backup-simplify]: Simplify 1 into 1 4.953 * [backup-simplify]: Simplify (/ PI 1) into PI 4.954 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.955 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.955 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.955 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 4.956 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.956 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 4.957 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 4.957 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 4.957 * [taylor]: Taking taylor expansion of (/ -1 k) in n 4.957 * [taylor]: Taking taylor expansion of -1 in n 4.957 * [backup-simplify]: Simplify -1 into -1 4.957 * [taylor]: Taking taylor expansion of k in n 4.957 * [backup-simplify]: Simplify k into k 4.957 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 4.957 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 4.957 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 4.957 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 4.958 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))) 4.958 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 4.958 * [taylor]: Taking taylor expansion of 1.0 in k 4.958 * [backup-simplify]: Simplify 1.0 into 1.0 4.958 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 4.958 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.958 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.958 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.958 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.958 * [taylor]: Taking taylor expansion of 0.5 in k 4.958 * [backup-simplify]: Simplify 0.5 into 0.5 4.958 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.958 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.958 * [taylor]: Taking taylor expansion of k in k 4.958 * [backup-simplify]: Simplify 0 into 0 4.958 * [backup-simplify]: Simplify 1 into 1 4.959 * [backup-simplify]: Simplify (/ 1 1) into 1 4.959 * [taylor]: Taking taylor expansion of 1.0 in k 4.959 * [backup-simplify]: Simplify 1.0 into 1.0 4.959 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.959 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.959 * [taylor]: Taking taylor expansion of -2.0 in k 4.959 * [backup-simplify]: Simplify -2.0 into -2.0 4.959 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.959 * [taylor]: Taking taylor expansion of PI in k 4.959 * [backup-simplify]: Simplify PI into PI 4.959 * [taylor]: Taking taylor expansion of n in k 4.959 * [backup-simplify]: Simplify n into n 4.959 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.959 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 4.959 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 4.959 * [backup-simplify]: Simplify (+ 1 0) into 1 4.960 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.960 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 4.960 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 4.960 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.960 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.960 * [taylor]: Taking taylor expansion of -1 in k 4.960 * [backup-simplify]: Simplify -1 into -1 4.960 * [taylor]: Taking taylor expansion of k in k 4.960 * [backup-simplify]: Simplify 0 into 0 4.960 * [backup-simplify]: Simplify 1 into 1 4.960 * [backup-simplify]: Simplify (/ -1 1) into -1 4.961 * [backup-simplify]: Simplify (sqrt 0) into 0 4.961 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.962 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) 4.962 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 4.962 * [taylor]: Taking taylor expansion of 1.0 in k 4.962 * [backup-simplify]: Simplify 1.0 into 1.0 4.962 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 4.962 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.962 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.962 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.962 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.962 * [taylor]: Taking taylor expansion of 0.5 in k 4.962 * [backup-simplify]: Simplify 0.5 into 0.5 4.962 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.962 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.962 * [taylor]: Taking taylor expansion of k in k 4.962 * [backup-simplify]: Simplify 0 into 0 4.962 * [backup-simplify]: Simplify 1 into 1 4.962 * [backup-simplify]: Simplify (/ 1 1) into 1 4.962 * [taylor]: Taking taylor expansion of 1.0 in k 4.962 * [backup-simplify]: Simplify 1.0 into 1.0 4.962 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.962 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.962 * [taylor]: Taking taylor expansion of -2.0 in k 4.962 * [backup-simplify]: Simplify -2.0 into -2.0 4.962 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.962 * [taylor]: Taking taylor expansion of PI in k 4.962 * [backup-simplify]: Simplify PI into PI 4.962 * [taylor]: Taking taylor expansion of n in k 4.962 * [backup-simplify]: Simplify n into n 4.962 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.962 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 4.962 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 4.963 * [backup-simplify]: Simplify (+ 1 0) into 1 4.963 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.963 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 4.963 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 4.963 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.963 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.963 * [taylor]: Taking taylor expansion of -1 in k 4.963 * [backup-simplify]: Simplify -1 into -1 4.963 * [taylor]: Taking taylor expansion of k in k 4.963 * [backup-simplify]: Simplify 0 into 0 4.963 * [backup-simplify]: Simplify 1 into 1 4.964 * [backup-simplify]: Simplify (/ -1 1) into -1 4.964 * [backup-simplify]: Simplify (sqrt 0) into 0 4.965 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.965 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) 4.965 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) 4.965 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 4.965 * [taylor]: Taking taylor expansion of +nan.0 in n 4.965 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.965 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 4.965 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 4.965 * [taylor]: Taking taylor expansion of 0.5 in n 4.965 * [backup-simplify]: Simplify 0.5 into 0.5 4.965 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 4.965 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.965 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.965 * [taylor]: Taking taylor expansion of k in n 4.965 * [backup-simplify]: Simplify k into k 4.965 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.965 * [taylor]: Taking taylor expansion of 1.0 in n 4.965 * [backup-simplify]: Simplify 1.0 into 1.0 4.965 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.965 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.965 * [taylor]: Taking taylor expansion of -2.0 in n 4.965 * [backup-simplify]: Simplify -2.0 into -2.0 4.965 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.965 * [taylor]: Taking taylor expansion of PI in n 4.965 * [backup-simplify]: Simplify PI into PI 4.965 * [taylor]: Taking taylor expansion of n in n 4.965 * [backup-simplify]: Simplify 0 into 0 4.965 * [backup-simplify]: Simplify 1 into 1 4.966 * [backup-simplify]: Simplify (/ PI 1) into PI 4.966 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.967 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.967 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.968 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.968 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 4.969 * [backup-simplify]: Simplify (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 4.970 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 4.971 * [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)))))) 4.971 * [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)))))) 4.972 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.974 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.974 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) 4.975 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) 4.975 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 4.975 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 4.975 * [taylor]: Taking taylor expansion of +nan.0 in n 4.975 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.975 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 4.975 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 4.975 * [taylor]: Taking taylor expansion of 0.5 in n 4.975 * [backup-simplify]: Simplify 0.5 into 0.5 4.975 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 4.975 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.975 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.975 * [taylor]: Taking taylor expansion of k in n 4.975 * [backup-simplify]: Simplify k into k 4.975 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.975 * [taylor]: Taking taylor expansion of 1.0 in n 4.975 * [backup-simplify]: Simplify 1.0 into 1.0 4.975 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.975 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.975 * [taylor]: Taking taylor expansion of -2.0 in n 4.975 * [backup-simplify]: Simplify -2.0 into -2.0 4.975 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.975 * [taylor]: Taking taylor expansion of PI in n 4.975 * [backup-simplify]: Simplify PI into PI 4.975 * [taylor]: Taking taylor expansion of n in n 4.976 * [backup-simplify]: Simplify 0 into 0 4.976 * [backup-simplify]: Simplify 1 into 1 4.976 * [backup-simplify]: Simplify (/ PI 1) into PI 4.976 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.977 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.978 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.979 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.980 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 4.982 * [backup-simplify]: Simplify (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 4.983 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 4.984 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) 4.985 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) 4.987 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) 4.988 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.988 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 4.990 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 4.990 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.991 * [backup-simplify]: Simplify (+ 0 0) into 0 4.992 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.993 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 4.995 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into 0 4.997 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.999 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into 0 4.999 * [backup-simplify]: Simplify 0 into 0 5.000 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.004 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.006 * [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)))))))) 5.007 * [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)))))))) 5.007 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 5.007 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 5.007 * [taylor]: Taking taylor expansion of +nan.0 in n 5.007 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.007 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 5.008 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 5.008 * [taylor]: Taking taylor expansion of 0.5 in n 5.008 * [backup-simplify]: Simplify 0.5 into 0.5 5.008 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 5.008 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.008 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.008 * [taylor]: Taking taylor expansion of k in n 5.008 * [backup-simplify]: Simplify k into k 5.008 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.008 * [taylor]: Taking taylor expansion of 1.0 in n 5.008 * [backup-simplify]: Simplify 1.0 into 1.0 5.008 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.008 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.008 * [taylor]: Taking taylor expansion of -2.0 in n 5.008 * [backup-simplify]: Simplify -2.0 into -2.0 5.008 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.008 * [taylor]: Taking taylor expansion of PI in n 5.008 * [backup-simplify]: Simplify PI into PI 5.008 * [taylor]: Taking taylor expansion of n in n 5.008 * [backup-simplify]: Simplify 0 into 0 5.008 * [backup-simplify]: Simplify 1 into 1 5.009 * [backup-simplify]: Simplify (/ PI 1) into PI 5.009 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 5.010 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 5.011 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 5.012 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 5.013 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 5.014 * [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)))) 5.015 * [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))))) 5.016 * [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)))))) 5.017 * [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))))))) 5.017 * [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))))))) 5.020 * [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)))))))))))) 5.020 * * * [progress]: simplifying candidates 5.023 * [simplify]: Simplifying: (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (+ (+ (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)) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (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) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 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) (expm1 (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))))))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))))))) 5.027 * * [simplify]: Extracting # 0 : cost 0 5.028 * * [simplify]: Extracting # 1 : cost 0 5.028 * * [simplify]: Extracting # 2 : cost 0 5.028 * * [simplify]: Extracting # 3 : cost 0 5.029 * * [simplify]: Extracting # 4 : cost 0 5.029 * * [simplify]: Extracting # 5 : cost 0 5.030 * * [simplify]: Extracting # 6 : cost 0 5.030 * * [simplify]: Extracting # 7 : cost 0 5.030 * * [simplify]: Extracting # 8 : cost 0 5.031 * * [simplify]: Extracting # 9 : cost 0 5.031 * * [simplify]: Extracting # 10 : cost 0 5.032 * * [simplify]: Extracting # 11 : cost 0 5.032 * * [simplify]: Extracting # 12 : cost 0 5.033 * * [simplify]: Extracting # 13 : cost 0 5.034 * * [simplify]: Extracting # 14 : cost 0 5.034 * * [simplify]: Extracting # 15 : cost 0 5.035 * * [simplify]: Extracting # 16 : cost 0 5.035 * * [simplify]: Extracting # 17 : cost 0 5.036 * * [simplify]: Extracting # 18 : cost 0 5.040 * * [simplify]: Extracting # 19 : cost 0 5.041 * * [simplify]: Extracting # 20 : cost 0 5.041 * * [simplify]: Extracting # 21 : cost 0 5.042 * * [simplify]: Extracting # 22 : cost 0 5.042 * * [simplify]: Extracting # 23 : cost 0 5.043 * * [simplify]: Extracting # 24 : cost 0 5.043 * * [simplify]: Extracting # 25 : cost 0 5.044 * * [simplify]: Extracting # 26 : cost 0 5.044 * * [simplify]: Extracting # 27 : cost 0 5.045 * * [simplify]: Extracting # 28 : cost 0 5.045 * * [simplify]: Extracting # 29 : cost 0 5.046 * * [simplify]: Extracting # 30 : cost 0 5.046 * * [simplify]: Extracting # 31 : cost 0 5.047 * * [simplify]: Extracting # 32 : cost 0 5.048 * * [simplify]: iteration 0 : 369 enodes (cost 2880 ) 5.168 * * [simplify]: Extracting # 0 : cost 0 5.169 * * [simplify]: Extracting # 1 : cost 0 5.170 * * [simplify]: Extracting # 2 : cost 0 5.172 * * [simplify]: Extracting # 3 : cost 0 5.173 * * [simplify]: Extracting # 4 : cost 0 5.174 * * [simplify]: Extracting # 5 : cost 0 5.176 * * [simplify]: Extracting # 6 : cost 0 5.177 * * [simplify]: iteration 1 : 961 enodes (cost 2712 ) 5.865 * * [simplify]: Extracting # 0 : cost 0 5.872 * * [simplify]: Extracting # 1 : cost 0 5.880 * * [simplify]: Extracting # 2 : cost 0 5.888 * * [simplify]: Extracting # 3 : cost 0 5.896 * * [simplify]: Extracting # 4 : cost 0 5.904 * * [simplify]: Extracting # 5 : cost 0 5.912 * * [simplify]: iteration 2 : 3131 enodes (cost 2550 ) 7.185 * * [simplify]: Extracting # 0 : cost 0 7.192 * * [simplify]: Extracting # 1 : cost 0 7.198 * * [simplify]: Extracting # 2 : cost 0 7.210 * * [simplify]: Extracting # 3 : cost 0 7.225 * * [simplify]: Extracting # 4 : cost 0 7.231 * * [simplify]: iteration done: 5000 enodes (cost 2540 ) 7.232 * [simplify]: Simplified to: (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* 2.0 (* n PI)) (/ 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 (* (* 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 (* n PI)) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (pow (* n (* 2.0 PI)) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* n (* 2.0 PI)) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (/ (pow 1.0 3) k) (sqrt k)) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (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) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* 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 (* 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) (* PI n) (expm1 (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 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)))) (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) k) (sqrt k))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (fma (- 0.5) (* k (fma (log (* 2.0 PI)) (pow (* 2.0 (* n PI)) 0.5) (* (log n) (pow (* 2.0 (* n PI)) 0.5)))) (fma (* 0.125 (pow k 2)) (fma (pow (log (* 2.0 PI)) 2) (pow (* 2.0 (* n PI)) 0.5) (* (pow (* 2.0 (* n PI)) 0.5) (pow (log n) 2))) (fma 0.25 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* 2.0 (* n PI)) 0.5)) (pow (* 2.0 (* n PI)) 0.5)))) (pow (pow (* 2.0 (* n PI)) 0.5) (- 1.0 k)) (pow (exp (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))) 0.5) (- (- (fma k +nan.0 +nan.0) (* (* +nan.0 k) k))) (- (- (/ +nan.0 (pow k 2)) (- (/ +nan.0 k) (/ +nan.0 (pow k 3))))) (- (- (/ +nan.0 (pow k 2)) (- (/ +nan.0 k) +nan.0))) (* n (* 2.0 PI)) (* n (* 2.0 PI)) (* n (* 2.0 PI)) (fma (* +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)) (fma (* (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) (fma (- (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (log n))))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (fma (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) +nan.0 (fma +nan.0 (- (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (fma +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)) (fma (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) +nan.0 (- (* +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 (* k (log n))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))) (fma +nan.0 (- (/ (pow (pow (* 2.0 (* n PI)) 0.5) (- 1.0 k)) k) (/ (pow (pow (* 2.0 (* n PI)) 0.5) (- 1.0 k)) (pow k 2))) (- (/ +nan.0 (/ (pow k 3) (pow (pow (* 2.0 (* n PI)) 0.5) (- 1.0 k)))))) (fma (- +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)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))))) 7.234 * * * [progress]: adding candidates to table 7.910 * * [progress]: iteration 2 / 4 7.910 * * * [progress]: picking best candidate 7.944 * * * * [pick]: Picked # 7.944 * * * [progress]: localizing error 7.967 * * * [progress]: generating rewritten candidates 7.968 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 7.983 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 8.008 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 8.021 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 8.110 * * * [progress]: generating series expansions 8.110 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 8.111 * [backup-simplify]: Simplify (pow n (/ (- 1.0 k) 2.0)) into (pow n (* 0.5 (- 1.0 k))) 8.111 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 8.111 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 8.111 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 8.111 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 8.111 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 8.111 * [taylor]: Taking taylor expansion of 0.5 in k 8.111 * [backup-simplify]: Simplify 0.5 into 0.5 8.111 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.111 * [taylor]: Taking taylor expansion of 1.0 in k 8.111 * [backup-simplify]: Simplify 1.0 into 1.0 8.111 * [taylor]: Taking taylor expansion of k in k 8.111 * [backup-simplify]: Simplify 0 into 0 8.111 * [backup-simplify]: Simplify 1 into 1 8.111 * [taylor]: Taking taylor expansion of (log n) in k 8.111 * [taylor]: Taking taylor expansion of n in k 8.111 * [backup-simplify]: Simplify n into n 8.111 * [backup-simplify]: Simplify (log n) into (log n) 8.112 * [backup-simplify]: Simplify (- 0) into 0 8.113 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.113 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 8.113 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 8.114 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 8.114 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 8.114 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 8.114 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 8.114 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 8.114 * [taylor]: Taking taylor expansion of 0.5 in n 8.114 * [backup-simplify]: Simplify 0.5 into 0.5 8.114 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 8.114 * [taylor]: Taking taylor expansion of 1.0 in n 8.114 * [backup-simplify]: Simplify 1.0 into 1.0 8.114 * [taylor]: Taking taylor expansion of k in n 8.114 * [backup-simplify]: Simplify k into k 8.114 * [taylor]: Taking taylor expansion of (log n) in n 8.114 * [taylor]: Taking taylor expansion of n in n 8.114 * [backup-simplify]: Simplify 0 into 0 8.114 * [backup-simplify]: Simplify 1 into 1 8.115 * [backup-simplify]: Simplify (log 1) into 0 8.115 * [backup-simplify]: Simplify (- k) into (- k) 8.115 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 8.115 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 8.115 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.116 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 8.116 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 8.116 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 8.116 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 8.116 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 8.116 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 8.116 * [taylor]: Taking taylor expansion of 0.5 in n 8.116 * [backup-simplify]: Simplify 0.5 into 0.5 8.116 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 8.116 * [taylor]: Taking taylor expansion of 1.0 in n 8.116 * [backup-simplify]: Simplify 1.0 into 1.0 8.116 * [taylor]: Taking taylor expansion of k in n 8.116 * [backup-simplify]: Simplify k into k 8.116 * [taylor]: Taking taylor expansion of (log n) in n 8.116 * [taylor]: Taking taylor expansion of n in n 8.116 * [backup-simplify]: Simplify 0 into 0 8.116 * [backup-simplify]: Simplify 1 into 1 8.117 * [backup-simplify]: Simplify (log 1) into 0 8.117 * [backup-simplify]: Simplify (- k) into (- k) 8.117 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 8.117 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 8.117 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.118 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 8.118 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 8.118 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 8.118 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 8.118 * [taylor]: Taking taylor expansion of 0.5 in k 8.118 * [backup-simplify]: Simplify 0.5 into 0.5 8.118 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 8.118 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.118 * [taylor]: Taking taylor expansion of 1.0 in k 8.118 * [backup-simplify]: Simplify 1.0 into 1.0 8.118 * [taylor]: Taking taylor expansion of k in k 8.118 * [backup-simplify]: Simplify 0 into 0 8.118 * [backup-simplify]: Simplify 1 into 1 8.118 * [taylor]: Taking taylor expansion of (log n) in k 8.118 * [taylor]: Taking taylor expansion of n in k 8.118 * [backup-simplify]: Simplify n into n 8.118 * [backup-simplify]: Simplify (log n) into (log n) 8.119 * [backup-simplify]: Simplify (- 0) into 0 8.119 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.119 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 8.119 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (log n))) into (* 0.5 (log n)) 8.119 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 8.119 * [backup-simplify]: Simplify (pow n 0.5) into (pow n 0.5) 8.120 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.120 * [backup-simplify]: Simplify (- 0) into 0 8.121 * [backup-simplify]: Simplify (+ 0 0) into 0 8.121 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 8.121 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.121 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (log n))) into 0 8.122 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 8.122 * [taylor]: Taking taylor expansion of 0 in k 8.122 * [backup-simplify]: Simplify 0 into 0 8.122 * [backup-simplify]: Simplify 0 into 0 8.122 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 8.123 * [backup-simplify]: Simplify (- 1) into -1 8.123 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.123 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (log n))) into (- (log n)) 8.123 * [backup-simplify]: Simplify (+ (* 0.5 (- (log n))) (* 0 (* 1.0 (log n)))) into (- (* 0.5 (log n))) 8.124 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 1) 1)))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 8.124 * [backup-simplify]: Simplify (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 8.125 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 8.126 * [backup-simplify]: Simplify (- 0) into 0 8.126 * [backup-simplify]: Simplify (+ 0 0) into 0 8.126 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 8.127 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.127 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 8.128 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.128 * [taylor]: Taking taylor expansion of 0 in k 8.128 * [backup-simplify]: Simplify 0 into 0 8.128 * [backup-simplify]: Simplify 0 into 0 8.128 * [backup-simplify]: Simplify 0 into 0 8.129 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 8.129 * [backup-simplify]: Simplify (- 0) into 0 8.129 * [backup-simplify]: Simplify (+ 0 0) into 0 8.130 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (log n)))) into 0 8.130 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (log n))) (* 0 (* 1.0 (log n))))) into 0 8.131 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 8.131 * [backup-simplify]: Simplify (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 8.132 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) (* k 1)) (pow n 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) 8.132 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) 8.132 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 8.132 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.132 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 8.132 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 8.132 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.132 * [taylor]: Taking taylor expansion of 0.5 in k 8.132 * [backup-simplify]: Simplify 0.5 into 0.5 8.132 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.132 * [taylor]: Taking taylor expansion of 1.0 in k 8.132 * [backup-simplify]: Simplify 1.0 into 1.0 8.132 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.132 * [taylor]: Taking taylor expansion of k in k 8.132 * [backup-simplify]: Simplify 0 into 0 8.132 * [backup-simplify]: Simplify 1 into 1 8.133 * [backup-simplify]: Simplify (/ 1 1) into 1 8.133 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 8.133 * [taylor]: Taking taylor expansion of (/ 1 n) in k 8.133 * [taylor]: Taking taylor expansion of n in k 8.133 * [backup-simplify]: Simplify n into n 8.133 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.133 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 8.133 * [backup-simplify]: Simplify (- 1) into -1 8.133 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.134 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 8.134 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 8.134 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 8.134 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 8.134 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 8.134 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 8.134 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 8.134 * [taylor]: Taking taylor expansion of 0.5 in n 8.134 * [backup-simplify]: Simplify 0.5 into 0.5 8.134 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.134 * [taylor]: Taking taylor expansion of 1.0 in n 8.134 * [backup-simplify]: Simplify 1.0 into 1.0 8.134 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.134 * [taylor]: Taking taylor expansion of k in n 8.134 * [backup-simplify]: Simplify k into k 8.134 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.134 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 8.134 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.134 * [taylor]: Taking taylor expansion of n in n 8.134 * [backup-simplify]: Simplify 0 into 0 8.134 * [backup-simplify]: Simplify 1 into 1 8.134 * [backup-simplify]: Simplify (/ 1 1) into 1 8.135 * [backup-simplify]: Simplify (log 1) into 0 8.135 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 8.135 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 8.135 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 8.135 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 8.135 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 8.135 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 8.135 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 8.135 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 8.135 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 8.135 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 8.136 * [taylor]: Taking taylor expansion of 0.5 in n 8.136 * [backup-simplify]: Simplify 0.5 into 0.5 8.136 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.136 * [taylor]: Taking taylor expansion of 1.0 in n 8.136 * [backup-simplify]: Simplify 1.0 into 1.0 8.136 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.136 * [taylor]: Taking taylor expansion of k in n 8.136 * [backup-simplify]: Simplify k into k 8.136 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.136 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 8.136 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.136 * [taylor]: Taking taylor expansion of n in n 8.136 * [backup-simplify]: Simplify 0 into 0 8.136 * [backup-simplify]: Simplify 1 into 1 8.136 * [backup-simplify]: Simplify (/ 1 1) into 1 8.136 * [backup-simplify]: Simplify (log 1) into 0 8.136 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 8.136 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 8.136 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 8.137 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 8.137 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 8.137 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 8.137 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in k 8.137 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in k 8.137 * [taylor]: Taking taylor expansion of -0.5 in k 8.137 * [backup-simplify]: Simplify -0.5 into -0.5 8.137 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 8.137 * [taylor]: Taking taylor expansion of (log n) in k 8.137 * [taylor]: Taking taylor expansion of n in k 8.137 * [backup-simplify]: Simplify n into n 8.137 * [backup-simplify]: Simplify (log n) into (log n) 8.137 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.137 * [taylor]: Taking taylor expansion of 1.0 in k 8.137 * [backup-simplify]: Simplify 1.0 into 1.0 8.137 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.137 * [taylor]: Taking taylor expansion of k in k 8.137 * [backup-simplify]: Simplify 0 into 0 8.137 * [backup-simplify]: Simplify 1 into 1 8.138 * [backup-simplify]: Simplify (/ 1 1) into 1 8.138 * [backup-simplify]: Simplify (- 1) into -1 8.138 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.138 * [backup-simplify]: Simplify (* (log n) -1) into (* -1 (log n)) 8.138 * [backup-simplify]: Simplify (* -0.5 (* -1 (log n))) into (* 0.5 (log n)) 8.138 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 8.138 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 8.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.140 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.140 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 8.140 * [backup-simplify]: Simplify (- 0) into 0 8.140 * [backup-simplify]: Simplify (+ 0 0) into 0 8.141 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 8.141 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 8.141 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 8.142 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 8.142 * [taylor]: Taking taylor expansion of 0 in k 8.142 * [backup-simplify]: Simplify 0 into 0 8.142 * [backup-simplify]: Simplify 0 into 0 8.142 * [backup-simplify]: Simplify 0 into 0 8.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.144 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 8.144 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.144 * [backup-simplify]: Simplify (- 0) into 0 8.144 * [backup-simplify]: Simplify (+ 0 0) into 0 8.145 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 8.145 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 8.146 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 8.146 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.146 * [taylor]: Taking taylor expansion of 0 in k 8.146 * [backup-simplify]: Simplify 0 into 0 8.146 * [backup-simplify]: Simplify 0 into 0 8.146 * [backup-simplify]: Simplify 0 into 0 8.146 * [backup-simplify]: Simplify 0 into 0 8.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.154 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 8.154 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.154 * [backup-simplify]: Simplify (- 0) into 0 8.155 * [backup-simplify]: Simplify (+ 0 0) into 0 8.155 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 8.156 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 8.156 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 8.157 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 8.157 * [taylor]: Taking taylor expansion of 0 in k 8.157 * [backup-simplify]: Simplify 0 into 0 8.157 * [backup-simplify]: Simplify 0 into 0 8.157 * [backup-simplify]: Simplify (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) 8.158 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) 8.158 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 8.158 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.158 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 8.158 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 8.158 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.158 * [taylor]: Taking taylor expansion of 0.5 in k 8.158 * [backup-simplify]: Simplify 0.5 into 0.5 8.158 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.158 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.158 * [taylor]: Taking taylor expansion of k in k 8.158 * [backup-simplify]: Simplify 0 into 0 8.158 * [backup-simplify]: Simplify 1 into 1 8.158 * [backup-simplify]: Simplify (/ 1 1) into 1 8.158 * [taylor]: Taking taylor expansion of 1.0 in k 8.158 * [backup-simplify]: Simplify 1.0 into 1.0 8.158 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 8.158 * [taylor]: Taking taylor expansion of (/ -1 n) in k 8.158 * [taylor]: Taking taylor expansion of -1 in k 8.158 * [backup-simplify]: Simplify -1 into -1 8.158 * [taylor]: Taking taylor expansion of n in k 8.158 * [backup-simplify]: Simplify n into n 8.158 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 8.158 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 8.159 * [backup-simplify]: Simplify (+ 1 0) into 1 8.159 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.159 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 8.160 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 8.160 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 8.160 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 8.160 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 8.160 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 8.160 * [taylor]: Taking taylor expansion of 0.5 in n 8.160 * [backup-simplify]: Simplify 0.5 into 0.5 8.160 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.160 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.160 * [taylor]: Taking taylor expansion of k in n 8.160 * [backup-simplify]: Simplify k into k 8.160 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.160 * [taylor]: Taking taylor expansion of 1.0 in n 8.160 * [backup-simplify]: Simplify 1.0 into 1.0 8.160 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 8.160 * [taylor]: Taking taylor expansion of (/ -1 n) in n 8.160 * [taylor]: Taking taylor expansion of -1 in n 8.160 * [backup-simplify]: Simplify -1 into -1 8.160 * [taylor]: Taking taylor expansion of n in n 8.160 * [backup-simplify]: Simplify 0 into 0 8.160 * [backup-simplify]: Simplify 1 into 1 8.161 * [backup-simplify]: Simplify (/ -1 1) into -1 8.161 * [backup-simplify]: Simplify (log -1) into (log -1) 8.161 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 8.161 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 8.162 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 8.163 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 8.163 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 8.164 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 8.164 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 8.164 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 8.164 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 8.164 * [taylor]: Taking taylor expansion of 0.5 in n 8.164 * [backup-simplify]: Simplify 0.5 into 0.5 8.164 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.164 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.164 * [taylor]: Taking taylor expansion of k in n 8.164 * [backup-simplify]: Simplify k into k 8.164 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.164 * [taylor]: Taking taylor expansion of 1.0 in n 8.164 * [backup-simplify]: Simplify 1.0 into 1.0 8.164 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 8.164 * [taylor]: Taking taylor expansion of (/ -1 n) in n 8.164 * [taylor]: Taking taylor expansion of -1 in n 8.164 * [backup-simplify]: Simplify -1 into -1 8.164 * [taylor]: Taking taylor expansion of n in n 8.164 * [backup-simplify]: Simplify 0 into 0 8.164 * [backup-simplify]: Simplify 1 into 1 8.165 * [backup-simplify]: Simplify (/ -1 1) into -1 8.165 * [backup-simplify]: Simplify (log -1) into (log -1) 8.166 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 8.166 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 8.167 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 8.167 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 8.168 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 8.168 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 8.168 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 8.168 * [taylor]: Taking taylor expansion of 0.5 in k 8.168 * [backup-simplify]: Simplify 0.5 into 0.5 8.168 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 8.168 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 8.168 * [taylor]: Taking taylor expansion of (log -1) in k 8.168 * [taylor]: Taking taylor expansion of -1 in k 8.168 * [backup-simplify]: Simplify -1 into -1 8.169 * [backup-simplify]: Simplify (log -1) into (log -1) 8.169 * [taylor]: Taking taylor expansion of (log n) in k 8.169 * [taylor]: Taking taylor expansion of n in k 8.169 * [backup-simplify]: Simplify n into n 8.169 * [backup-simplify]: Simplify (log n) into (log n) 8.169 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.169 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.169 * [taylor]: Taking taylor expansion of k in k 8.169 * [backup-simplify]: Simplify 0 into 0 8.169 * [backup-simplify]: Simplify 1 into 1 8.169 * [backup-simplify]: Simplify (/ 1 1) into 1 8.169 * [taylor]: Taking taylor expansion of 1.0 in k 8.169 * [backup-simplify]: Simplify 1.0 into 1.0 8.170 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 8.170 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 8.170 * [backup-simplify]: Simplify (+ 1 0) into 1 8.171 * [backup-simplify]: Simplify (* (- (log -1) (log n)) 1) into (- (log -1) (log n)) 8.171 * [backup-simplify]: Simplify (* 0.5 (- (log -1) (log n))) into (* 0.5 (- (log -1) (log n))) 8.172 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 8.173 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 8.174 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.175 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 8.175 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 8.175 * [backup-simplify]: Simplify (+ 0 0) into 0 8.176 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 8.176 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 8.177 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log -1) (log n)))) into 0 8.177 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 8.177 * [taylor]: Taking taylor expansion of 0 in k 8.177 * [backup-simplify]: Simplify 0 into 0 8.177 * [backup-simplify]: Simplify 0 into 0 8.177 * [backup-simplify]: Simplify 0 into 0 8.178 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.179 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 8.180 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.180 * [backup-simplify]: Simplify (+ 0 0) into 0 8.180 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 8.181 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 8.181 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 8.183 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.183 * [taylor]: Taking taylor expansion of 0 in k 8.183 * [backup-simplify]: Simplify 0 into 0 8.183 * [backup-simplify]: Simplify 0 into 0 8.183 * [backup-simplify]: Simplify 0 into 0 8.183 * [backup-simplify]: Simplify 0 into 0 8.183 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.186 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 8.186 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.187 * [backup-simplify]: Simplify (+ 0 0) into 0 8.187 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 8.188 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 8.189 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 8.190 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 8.190 * [taylor]: Taking taylor expansion of 0 in k 8.190 * [backup-simplify]: Simplify 0 into 0 8.190 * [backup-simplify]: Simplify 0 into 0 8.190 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) 8.191 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 8.191 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) 8.191 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in (k) around 0 8.191 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 8.191 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 8.191 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 8.191 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 8.191 * [taylor]: Taking taylor expansion of 0.5 in k 8.191 * [backup-simplify]: Simplify 0.5 into 0.5 8.191 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.191 * [taylor]: Taking taylor expansion of 1.0 in k 8.191 * [backup-simplify]: Simplify 1.0 into 1.0 8.191 * [taylor]: Taking taylor expansion of k in k 8.191 * [backup-simplify]: Simplify 0 into 0 8.191 * [backup-simplify]: Simplify 1 into 1 8.191 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.191 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.191 * [taylor]: Taking taylor expansion of 2.0 in k 8.191 * [backup-simplify]: Simplify 2.0 into 2.0 8.191 * [taylor]: Taking taylor expansion of PI in k 8.191 * [backup-simplify]: Simplify PI into PI 8.192 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.192 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.193 * [backup-simplify]: Simplify (- 0) into 0 8.193 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.193 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 8.194 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 8.196 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 8.196 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 8.196 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 8.196 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 8.196 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 8.196 * [taylor]: Taking taylor expansion of 0.5 in k 8.196 * [backup-simplify]: Simplify 0.5 into 0.5 8.196 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.196 * [taylor]: Taking taylor expansion of 1.0 in k 8.196 * [backup-simplify]: Simplify 1.0 into 1.0 8.196 * [taylor]: Taking taylor expansion of k in k 8.196 * [backup-simplify]: Simplify 0 into 0 8.196 * [backup-simplify]: Simplify 1 into 1 8.196 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.196 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.196 * [taylor]: Taking taylor expansion of 2.0 in k 8.196 * [backup-simplify]: Simplify 2.0 into 2.0 8.196 * [taylor]: Taking taylor expansion of PI in k 8.196 * [backup-simplify]: Simplify PI into PI 8.196 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.197 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.197 * [backup-simplify]: Simplify (- 0) into 0 8.198 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.198 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 8.199 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 8.201 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 8.202 * [backup-simplify]: Simplify (pow (* 2.0 PI) 0.5) into (pow (* 2.0 PI) 0.5) 8.202 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 8.203 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 8.204 * [backup-simplify]: Simplify (- 1) into -1 8.204 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.205 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 8.208 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 PI)))) into (- (* 0.5 (log (* 2.0 PI)))) 8.215 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 1) 1)))) into (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 8.219 * [backup-simplify]: Simplify (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) into (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 8.220 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 8.222 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 8.222 * [backup-simplify]: Simplify (- 0) into 0 8.223 * [backup-simplify]: Simplify (+ 0 0) into 0 8.224 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 8.225 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 PI))))) into 0 8.234 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 8.239 * [backup-simplify]: Simplify (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) into (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 8.256 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (pow k 2)) (+ (* (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) k) (pow (* 2.0 PI) 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) 8.257 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) 8.257 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 8.257 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.257 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 8.257 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 8.257 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.257 * [taylor]: Taking taylor expansion of 0.5 in k 8.257 * [backup-simplify]: Simplify 0.5 into 0.5 8.257 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.257 * [taylor]: Taking taylor expansion of 1.0 in k 8.257 * [backup-simplify]: Simplify 1.0 into 1.0 8.257 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.257 * [taylor]: Taking taylor expansion of k in k 8.257 * [backup-simplify]: Simplify 0 into 0 8.257 * [backup-simplify]: Simplify 1 into 1 8.257 * [backup-simplify]: Simplify (/ 1 1) into 1 8.258 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.258 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.258 * [taylor]: Taking taylor expansion of 2.0 in k 8.258 * [backup-simplify]: Simplify 2.0 into 2.0 8.258 * [taylor]: Taking taylor expansion of PI in k 8.258 * [backup-simplify]: Simplify PI into PI 8.261 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.262 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.262 * [backup-simplify]: Simplify (- 1) into -1 8.262 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.263 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 8.264 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 8.264 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 8.264 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.264 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 8.264 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 8.264 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.264 * [taylor]: Taking taylor expansion of 0.5 in k 8.264 * [backup-simplify]: Simplify 0.5 into 0.5 8.264 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.265 * [taylor]: Taking taylor expansion of 1.0 in k 8.265 * [backup-simplify]: Simplify 1.0 into 1.0 8.265 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.265 * [taylor]: Taking taylor expansion of k in k 8.265 * [backup-simplify]: Simplify 0 into 0 8.265 * [backup-simplify]: Simplify 1 into 1 8.265 * [backup-simplify]: Simplify (/ 1 1) into 1 8.265 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.265 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.265 * [taylor]: Taking taylor expansion of 2.0 in k 8.265 * [backup-simplify]: Simplify 2.0 into 2.0 8.265 * [taylor]: Taking taylor expansion of PI in k 8.265 * [backup-simplify]: Simplify PI into PI 8.265 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.266 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.266 * [backup-simplify]: Simplify (- 1) into -1 8.266 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.267 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 8.268 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 8.268 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 8.269 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 8.269 * [backup-simplify]: Simplify 0 into 0 8.269 * [backup-simplify]: Simplify 0 into 0 8.269 * [backup-simplify]: Simplify 0 into 0 8.269 * [backup-simplify]: Simplify 0 into 0 8.269 * [backup-simplify]: Simplify 0 into 0 8.269 * [backup-simplify]: Simplify 0 into 0 8.270 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) 8.271 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) 8.271 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 8.271 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.271 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 8.271 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 8.271 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.271 * [taylor]: Taking taylor expansion of 0.5 in k 8.271 * [backup-simplify]: Simplify 0.5 into 0.5 8.271 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.271 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.271 * [taylor]: Taking taylor expansion of k in k 8.271 * [backup-simplify]: Simplify 0 into 0 8.271 * [backup-simplify]: Simplify 1 into 1 8.271 * [backup-simplify]: Simplify (/ 1 1) into 1 8.271 * [taylor]: Taking taylor expansion of 1.0 in k 8.271 * [backup-simplify]: Simplify 1.0 into 1.0 8.271 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.271 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.271 * [taylor]: Taking taylor expansion of 2.0 in k 8.271 * [backup-simplify]: Simplify 2.0 into 2.0 8.271 * [taylor]: Taking taylor expansion of PI in k 8.271 * [backup-simplify]: Simplify PI into PI 8.272 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.272 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.272 * [backup-simplify]: Simplify (+ 1 0) into 1 8.273 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.274 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 8.274 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 8.275 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.275 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 8.275 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 8.275 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.275 * [taylor]: Taking taylor expansion of 0.5 in k 8.275 * [backup-simplify]: Simplify 0.5 into 0.5 8.275 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.275 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.275 * [taylor]: Taking taylor expansion of k in k 8.275 * [backup-simplify]: Simplify 0 into 0 8.275 * [backup-simplify]: Simplify 1 into 1 8.275 * [backup-simplify]: Simplify (/ 1 1) into 1 8.275 * [taylor]: Taking taylor expansion of 1.0 in k 8.275 * [backup-simplify]: Simplify 1.0 into 1.0 8.275 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.275 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.275 * [taylor]: Taking taylor expansion of 2.0 in k 8.275 * [backup-simplify]: Simplify 2.0 into 2.0 8.275 * [taylor]: Taking taylor expansion of PI in k 8.275 * [backup-simplify]: Simplify PI into PI 8.276 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.276 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.277 * [backup-simplify]: Simplify (+ 1 0) into 1 8.277 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.278 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 8.279 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 8.279 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 8.279 * [backup-simplify]: Simplify 0 into 0 8.279 * [backup-simplify]: Simplify 0 into 0 8.280 * [backup-simplify]: Simplify 0 into 0 8.280 * [backup-simplify]: Simplify 0 into 0 8.280 * [backup-simplify]: Simplify 0 into 0 8.280 * [backup-simplify]: Simplify 0 into 0 8.280 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) 8.280 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 8.280 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 8.281 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 8.281 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 8.281 * [taylor]: Taking taylor expansion of 1.0 in k 8.281 * [backup-simplify]: Simplify 1.0 into 1.0 8.281 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.281 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.281 * [taylor]: Taking taylor expansion of k in k 8.281 * [backup-simplify]: Simplify 0 into 0 8.281 * [backup-simplify]: Simplify 1 into 1 8.281 * [backup-simplify]: Simplify (/ 1 1) into 1 8.281 * [backup-simplify]: Simplify (sqrt 0) into 0 8.282 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.282 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 8.282 * [taylor]: Taking taylor expansion of 1.0 in k 8.282 * [backup-simplify]: Simplify 1.0 into 1.0 8.282 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.282 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.282 * [taylor]: Taking taylor expansion of k in k 8.282 * [backup-simplify]: Simplify 0 into 0 8.282 * [backup-simplify]: Simplify 1 into 1 8.282 * [backup-simplify]: Simplify (/ 1 1) into 1 8.283 * [backup-simplify]: Simplify (sqrt 0) into 0 8.283 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.284 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.284 * [backup-simplify]: Simplify 0 into 0 8.285 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 8.285 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.288 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.290 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 8.290 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.295 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.297 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 8.298 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.299 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 8.300 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 8.300 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 8.300 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 8.300 * [taylor]: Taking taylor expansion of 1.0 in k 8.300 * [backup-simplify]: Simplify 1.0 into 1.0 8.300 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.300 * [taylor]: Taking taylor expansion of k in k 8.300 * [backup-simplify]: Simplify 0 into 0 8.300 * [backup-simplify]: Simplify 1 into 1 8.300 * [backup-simplify]: Simplify (sqrt 0) into 0 8.302 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.302 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 8.302 * [taylor]: Taking taylor expansion of 1.0 in k 8.302 * [backup-simplify]: Simplify 1.0 into 1.0 8.302 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.302 * [taylor]: Taking taylor expansion of k in k 8.302 * [backup-simplify]: Simplify 0 into 0 8.302 * [backup-simplify]: Simplify 1 into 1 8.302 * [backup-simplify]: Simplify (sqrt 0) into 0 8.304 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.305 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.305 * [backup-simplify]: Simplify 0 into 0 8.307 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 8.307 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.310 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.312 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 8.313 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.317 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.319 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 8.319 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.320 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 k) 3)) (+ (* (- +nan.0) (pow (/ 1 k) 2)) (* (- +nan.0) (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 8.320 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 8.320 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 8.320 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 8.320 * [taylor]: Taking taylor expansion of 1.0 in k 8.320 * [backup-simplify]: Simplify 1.0 into 1.0 8.320 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.320 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.320 * [taylor]: Taking taylor expansion of -1 in k 8.320 * [backup-simplify]: Simplify -1 into -1 8.320 * [taylor]: Taking taylor expansion of k in k 8.320 * [backup-simplify]: Simplify 0 into 0 8.321 * [backup-simplify]: Simplify 1 into 1 8.321 * [backup-simplify]: Simplify (/ -1 1) into -1 8.321 * [backup-simplify]: Simplify (sqrt 0) into 0 8.322 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.322 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 8.322 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 8.322 * [taylor]: Taking taylor expansion of 1.0 in k 8.322 * [backup-simplify]: Simplify 1.0 into 1.0 8.322 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.322 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.322 * [taylor]: Taking taylor expansion of -1 in k 8.322 * [backup-simplify]: Simplify -1 into -1 8.322 * [taylor]: Taking taylor expansion of k in k 8.322 * [backup-simplify]: Simplify 0 into 0 8.322 * [backup-simplify]: Simplify 1 into 1 8.323 * [backup-simplify]: Simplify (/ -1 1) into -1 8.323 * [backup-simplify]: Simplify (sqrt 0) into 0 8.324 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.324 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 8.324 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.324 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.326 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.328 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 8.328 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.329 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.331 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.333 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 8.334 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.334 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 8.334 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 8.335 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) into (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) 8.335 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in (k) around 0 8.335 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in k 8.335 * [taylor]: Taking taylor expansion of 1.0 in k 8.335 * [backup-simplify]: Simplify 1.0 into 1.0 8.335 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) in k 8.335 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.335 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.335 * [taylor]: Taking taylor expansion of k in k 8.335 * [backup-simplify]: Simplify 0 into 0 8.335 * [backup-simplify]: Simplify 1 into 1 8.335 * [backup-simplify]: Simplify (/ 1 1) into 1 8.336 * [backup-simplify]: Simplify (sqrt 0) into 0 8.336 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.336 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 8.336 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 8.336 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 8.336 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 8.336 * [taylor]: Taking taylor expansion of 0.5 in k 8.336 * [backup-simplify]: Simplify 0.5 into 0.5 8.336 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.336 * [taylor]: Taking taylor expansion of 1.0 in k 8.337 * [backup-simplify]: Simplify 1.0 into 1.0 8.337 * [taylor]: Taking taylor expansion of k in k 8.337 * [backup-simplify]: Simplify 0 into 0 8.337 * [backup-simplify]: Simplify 1 into 1 8.337 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.337 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.337 * [taylor]: Taking taylor expansion of 2.0 in k 8.337 * [backup-simplify]: Simplify 2.0 into 2.0 8.337 * [taylor]: Taking taylor expansion of PI in k 8.337 * [backup-simplify]: Simplify PI into PI 8.337 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.338 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.338 * [backup-simplify]: Simplify (- 0) into 0 8.338 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.338 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 8.339 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 8.341 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 8.341 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in k 8.341 * [taylor]: Taking taylor expansion of 1.0 in k 8.341 * [backup-simplify]: Simplify 1.0 into 1.0 8.341 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) in k 8.341 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.341 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.341 * [taylor]: Taking taylor expansion of k in k 8.341 * [backup-simplify]: Simplify 0 into 0 8.341 * [backup-simplify]: Simplify 1 into 1 8.341 * [backup-simplify]: Simplify (/ 1 1) into 1 8.342 * [backup-simplify]: Simplify (sqrt 0) into 0 8.342 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.342 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 8.342 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 8.342 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 8.343 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 8.343 * [taylor]: Taking taylor expansion of 0.5 in k 8.343 * [backup-simplify]: Simplify 0.5 into 0.5 8.343 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.343 * [taylor]: Taking taylor expansion of 1.0 in k 8.343 * [backup-simplify]: Simplify 1.0 into 1.0 8.343 * [taylor]: Taking taylor expansion of k in k 8.343 * [backup-simplify]: Simplify 0 into 0 8.343 * [backup-simplify]: Simplify 1 into 1 8.343 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.343 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.343 * [taylor]: Taking taylor expansion of 2.0 in k 8.343 * [backup-simplify]: Simplify 2.0 into 2.0 8.343 * [taylor]: Taking taylor expansion of PI in k 8.343 * [backup-simplify]: Simplify PI into PI 8.343 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.344 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.344 * [backup-simplify]: Simplify (- 0) into 0 8.344 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.345 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 8.346 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 8.349 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 8.349 * [backup-simplify]: Simplify (* 0 (pow (* 2.0 PI) 0.5)) into 0 8.350 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.350 * [backup-simplify]: Simplify 0 into 0 8.350 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 8.351 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 8.351 * [backup-simplify]: Simplify (- 1) into -1 8.352 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.353 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 8.355 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 PI)))) into (- (* 0.5 (log (* 2.0 PI)))) 8.362 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 1) 1)))) into (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 8.370 * [backup-simplify]: Simplify (+ (* 0 (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* +nan.0 (pow (* 2.0 PI) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 8.376 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (* 0 0)) into (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 8.379 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 8.380 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 8.382 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 8.382 * [backup-simplify]: Simplify (- 0) into 0 8.382 * [backup-simplify]: Simplify (+ 0 0) into 0 8.383 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 8.384 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 PI))))) into 0 8.393 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 8.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.395 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.406 * [backup-simplify]: Simplify (+ (* 0 (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (+ (* +nan.0 (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* +nan.0 (pow (* 2.0 PI) 0.5)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) 8.422 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (* 0 0))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) 8.432 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) 8.433 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.436 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0 8.437 * [backup-simplify]: Simplify (- 0) into 0 8.437 * [backup-simplify]: Simplify (+ 0 0) into 0 8.438 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 8.439 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 PI)))))) into 0 8.450 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 3) 6)) (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 8.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.457 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.486 * [backup-simplify]: Simplify (+ (* 0 (* -0.020833333333333332 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (+ (* +nan.0 (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (+ (* +nan.0 (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* +nan.0 (pow (* 2.0 PI) 0.5))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))))) 8.541 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) (+ (* 0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (* 0 0)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))))) 8.569 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) 8.616 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) (pow k 2)) (+ (* (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) k) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) into (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* k (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))))))))))) 8.616 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 k))) (pow (* 2.0 PI) (/ (- 1.0 (/ 1 k)) 2.0))) into (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) 8.616 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in (k) around 0 8.616 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 8.616 * [taylor]: Taking taylor expansion of 1.0 in k 8.616 * [backup-simplify]: Simplify 1.0 into 1.0 8.616 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 8.616 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.616 * [taylor]: Taking taylor expansion of k in k 8.616 * [backup-simplify]: Simplify 0 into 0 8.616 * [backup-simplify]: Simplify 1 into 1 8.617 * [backup-simplify]: Simplify (sqrt 0) into 0 8.618 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.618 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.618 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 8.618 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 8.618 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.618 * [taylor]: Taking taylor expansion of 0.5 in k 8.618 * [backup-simplify]: Simplify 0.5 into 0.5 8.618 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.618 * [taylor]: Taking taylor expansion of 1.0 in k 8.618 * [backup-simplify]: Simplify 1.0 into 1.0 8.618 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.618 * [taylor]: Taking taylor expansion of k in k 8.618 * [backup-simplify]: Simplify 0 into 0 8.618 * [backup-simplify]: Simplify 1 into 1 8.618 * [backup-simplify]: Simplify (/ 1 1) into 1 8.618 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.618 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.618 * [taylor]: Taking taylor expansion of 2.0 in k 8.618 * [backup-simplify]: Simplify 2.0 into 2.0 8.618 * [taylor]: Taking taylor expansion of PI in k 8.618 * [backup-simplify]: Simplify PI into PI 8.619 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.619 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.619 * [backup-simplify]: Simplify (- 1) into -1 8.620 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.620 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 8.621 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 8.622 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 8.622 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 8.622 * [taylor]: Taking taylor expansion of 1.0 in k 8.622 * [backup-simplify]: Simplify 1.0 into 1.0 8.622 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 8.622 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.622 * [taylor]: Taking taylor expansion of k in k 8.622 * [backup-simplify]: Simplify 0 into 0 8.622 * [backup-simplify]: Simplify 1 into 1 8.622 * [backup-simplify]: Simplify (sqrt 0) into 0 8.623 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.623 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.623 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 8.623 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 8.623 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.623 * [taylor]: Taking taylor expansion of 0.5 in k 8.623 * [backup-simplify]: Simplify 0.5 into 0.5 8.623 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.623 * [taylor]: Taking taylor expansion of 1.0 in k 8.624 * [backup-simplify]: Simplify 1.0 into 1.0 8.624 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.624 * [taylor]: Taking taylor expansion of k in k 8.624 * [backup-simplify]: Simplify 0 into 0 8.624 * [backup-simplify]: Simplify 1 into 1 8.624 * [backup-simplify]: Simplify (/ 1 1) into 1 8.624 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.624 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.624 * [taylor]: Taking taylor expansion of 2.0 in k 8.624 * [backup-simplify]: Simplify 2.0 into 2.0 8.624 * [taylor]: Taking taylor expansion of PI in k 8.624 * [backup-simplify]: Simplify PI into PI 8.625 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.626 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.626 * [backup-simplify]: Simplify (- 1) into -1 8.627 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.627 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 8.629 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 8.630 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 8.631 * [backup-simplify]: Simplify (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into 0 8.632 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.632 * [backup-simplify]: Simplify 0 into 0 8.634 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 8.635 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (* 0 0)) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 8.637 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 8.640 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.642 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 8.645 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (* 0 0))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 8.646 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 8.649 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.651 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 8.654 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (* 0 0)))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 8.655 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 8.657 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))))) (pow (/ 1 k) 3)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))))) (pow (/ 1 k) 2)) (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))))) (/ 1 k)))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 3)))))))) 8.658 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 (- k)))) (pow (* 2.0 PI) (/ (- 1.0 (/ 1 (- k))) 2.0))) into (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) 8.658 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k) around 0 8.658 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 8.658 * [taylor]: Taking taylor expansion of 1.0 in k 8.658 * [backup-simplify]: Simplify 1.0 into 1.0 8.658 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 8.658 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.658 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 8.658 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 8.658 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.658 * [taylor]: Taking taylor expansion of 0.5 in k 8.658 * [backup-simplify]: Simplify 0.5 into 0.5 8.658 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.658 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.658 * [taylor]: Taking taylor expansion of k in k 8.658 * [backup-simplify]: Simplify 0 into 0 8.658 * [backup-simplify]: Simplify 1 into 1 8.659 * [backup-simplify]: Simplify (/ 1 1) into 1 8.659 * [taylor]: Taking taylor expansion of 1.0 in k 8.659 * [backup-simplify]: Simplify 1.0 into 1.0 8.659 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.659 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.659 * [taylor]: Taking taylor expansion of 2.0 in k 8.659 * [backup-simplify]: Simplify 2.0 into 2.0 8.659 * [taylor]: Taking taylor expansion of PI in k 8.659 * [backup-simplify]: Simplify PI into PI 8.659 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.660 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.660 * [backup-simplify]: Simplify (+ 1 0) into 1 8.660 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.661 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 8.662 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 8.662 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.662 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.662 * [taylor]: Taking taylor expansion of -1 in k 8.662 * [backup-simplify]: Simplify -1 into -1 8.662 * [taylor]: Taking taylor expansion of k in k 8.662 * [backup-simplify]: Simplify 0 into 0 8.662 * [backup-simplify]: Simplify 1 into 1 8.662 * [backup-simplify]: Simplify (/ -1 1) into -1 8.663 * [backup-simplify]: Simplify (sqrt 0) into 0 8.663 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.664 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) 8.664 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 8.664 * [taylor]: Taking taylor expansion of 1.0 in k 8.664 * [backup-simplify]: Simplify 1.0 into 1.0 8.664 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 8.664 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.664 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 8.664 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 8.664 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.664 * [taylor]: Taking taylor expansion of 0.5 in k 8.664 * [backup-simplify]: Simplify 0.5 into 0.5 8.664 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.664 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.664 * [taylor]: Taking taylor expansion of k in k 8.664 * [backup-simplify]: Simplify 0 into 0 8.664 * [backup-simplify]: Simplify 1 into 1 8.665 * [backup-simplify]: Simplify (/ 1 1) into 1 8.665 * [taylor]: Taking taylor expansion of 1.0 in k 8.665 * [backup-simplify]: Simplify 1.0 into 1.0 8.665 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.665 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.665 * [taylor]: Taking taylor expansion of 2.0 in k 8.665 * [backup-simplify]: Simplify 2.0 into 2.0 8.665 * [taylor]: Taking taylor expansion of PI in k 8.665 * [backup-simplify]: Simplify PI into PI 8.665 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.666 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.666 * [backup-simplify]: Simplify (+ 1 0) into 1 8.666 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.667 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 8.668 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 8.668 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.668 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.668 * [taylor]: Taking taylor expansion of -1 in k 8.668 * [backup-simplify]: Simplify -1 into -1 8.668 * [taylor]: Taking taylor expansion of k in k 8.668 * [backup-simplify]: Simplify 0 into 0 8.668 * [backup-simplify]: Simplify 1 into 1 8.669 * [backup-simplify]: Simplify (/ -1 1) into -1 8.669 * [backup-simplify]: Simplify (sqrt 0) into 0 8.670 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.670 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) 8.671 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) 8.672 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) 8.672 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.674 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.676 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 8.679 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 8.680 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 8.681 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.685 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.693 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 8.696 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 8.697 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 8.700 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))))) (/ 1 (- k))) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0))))))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k)) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))))))))) 8.700 * * * [progress]: simplifying candidates 8.703 * [simplify]: Simplifying: (expm1 (pow n (/ (- 1.0 k) 2.0))) (log1p (pow n (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (/ (sqrt (- 1.0 k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n 1) (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))) (exp (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log1p (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0)) (pow (* 2.0 PI) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) 1) (pow (* 2.0 PI) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (exp (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (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) (expm1 (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* 2.0 PI) (/ 1.0 2.0))) (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ 1.0 2.0))) (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* k (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))))))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 3)))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k)) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))))))))) 8.707 * * [simplify]: Extracting # 0 : cost 0 8.708 * * [simplify]: Extracting # 1 : cost 0 8.708 * * [simplify]: Extracting # 2 : cost 0 8.708 * * [simplify]: Extracting # 3 : cost 0 8.709 * * [simplify]: Extracting # 4 : cost 0 8.709 * * [simplify]: Extracting # 5 : cost 0 8.710 * * [simplify]: Extracting # 6 : cost 0 8.710 * * [simplify]: Extracting # 7 : cost 0 8.711 * * [simplify]: Extracting # 8 : cost 0 8.711 * * [simplify]: Extracting # 9 : cost 0 8.712 * * [simplify]: Extracting # 10 : cost 0 8.712 * * [simplify]: Extracting # 11 : cost 0 8.713 * * [simplify]: Extracting # 12 : cost 0 8.713 * * [simplify]: Extracting # 13 : cost 0 8.714 * * [simplify]: Extracting # 14 : cost 0 8.714 * * [simplify]: Extracting # 15 : cost 0 8.715 * * [simplify]: Extracting # 16 : cost 0 8.715 * * [simplify]: Extracting # 17 : cost 0 8.716 * * [simplify]: Extracting # 18 : cost 0 8.716 * * [simplify]: Extracting # 19 : cost 0 8.717 * * [simplify]: Extracting # 20 : cost 0 8.717 * * [simplify]: Extracting # 21 : cost 0 8.718 * * [simplify]: iteration 0 : 333 enodes (cost 2626 ) 8.882 * * [simplify]: Extracting # 0 : cost 0 8.885 * * [simplify]: Extracting # 1 : cost 0 8.887 * * [simplify]: Extracting # 2 : cost 0 8.889 * * [simplify]: Extracting # 3 : cost 0 8.891 * * [simplify]: Extracting # 4 : cost 0 8.893 * * [simplify]: iteration 1 : 831 enodes (cost 2468 ) 9.361 * * [simplify]: Extracting # 0 : cost 0 9.364 * * [simplify]: Extracting # 1 : cost 0 9.368 * * [simplify]: Extracting # 2 : cost 0 9.371 * * [simplify]: Extracting # 3 : cost 0 9.375 * * [simplify]: Extracting # 4 : cost 0 9.383 * * [simplify]: iteration 2 : 2407 enodes (cost 2362 ) 10.397 * * [simplify]: Extracting # 0 : cost 0 10.410 * * [simplify]: Extracting # 1 : cost 0 10.421 * * [simplify]: Extracting # 2 : cost 0 10.427 * * [simplify]: Extracting # 3 : cost 0 10.434 * * [simplify]: Extracting # 4 : cost 0 10.442 * * [simplify]: Extracting # 5 : cost 0 10.459 * * [simplify]: iteration done: 5000 enodes (cost 2337 ) 10.461 * [simplify]: Simplified to: (expm1 (pow n (/ (- 1.0 k) 2.0))) (log1p (pow n (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0))) (/ (- 1.0 k) 2.0) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (sqrt (- 1.0 k))) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) n (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (+ (sqrt 1.0) (sqrt k))) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) n n (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) 1 (pow n (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))) (exp (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))) (pow (pow n (/ (- 1.0 k) 2.0)) 3) (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log1p (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (- 1.0 k) 2.0) (log (* 2.0 PI))) (* (/ (- 1.0 k) 2.0) (log (* 2.0 PI))) (* (/ (- 1.0 k) 2.0) (log (* 2.0 PI))) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0)) (pow (* 2.0 PI) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 PI) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 PI) (sqrt (- 1.0 k))) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (* 2.0 PI) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 PI) (+ (sqrt 1.0) (sqrt k))) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (* 2.0 PI) (* 2.0 PI) (pow (* 2.0 PI) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (* (/ (- 1.0 k) 2.0) (log (* 2.0 PI))) (exp (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (/ (pow 1.0 3) k) (sqrt k)) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt k))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (expm1 (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (pow 1.0 3) k) (/ (pow (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) 3) (sqrt k))) (pow (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) 3) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) 3) (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* 2.0 PI) (/ 1.0 2.0))) (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ 1.0 2.0))) (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (- (fma 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5)) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) (pow (/ 1 n) (* -0.5 (- 1.0 k))) (pow (exp (- 1.0 k)) (* (+ 0 (log n)) 0.5)) (- (fma 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (pow (pow (* 2.0 PI) (- 1.0 k)) 0.5) (pow (pow (* 2.0 PI) (- 1.0 k)) 0.5) (fma +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)) (fma (- +nan.0) (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) (fma (* (pow k 2) (log (* 2.0 PI))) (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) (fma (- (* +nan.0 k)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (fma (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) +nan.0 (- (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (- (* +nan.0 (* (pow k 2) (pow (log (* 2.0 PI)) 2))) +nan.0))))))) (fma (/ (/ (pow (pow (* 2.0 PI) (- 1.0 k)) 0.5) k) k) (- +nan.0) (* +nan.0 (- (/ (pow (pow (* 2.0 PI) (- 1.0 k)) 0.5) k) (/ (pow (pow (* 2.0 PI) (- 1.0 k)) 0.5) (pow k 3))))) (fma (/ (- (pow (pow (* 2.0 PI) (- 1.0 k)) 0.5)) (* k k)) +nan.0 (* +nan.0 (- (/ (pow (pow (* 2.0 PI) (- 1.0 k)) 0.5) k) (pow (pow (* 2.0 PI) (- 1.0 k)) 0.5)))) 10.463 * * * [progress]: adding candidates to table 11.278 * * [progress]: iteration 3 / 4 11.278 * * * [progress]: picking best candidate 11.298 * * * * [pick]: Picked # 11.298 * * * [progress]: localizing error 11.329 * * * [progress]: generating rewritten candidates 11.330 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 11.362 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 11.386 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1) 11.409 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 11.434 * * * [progress]: generating series expansions 11.434 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 11.434 * [backup-simplify]: Simplify (pow n (/ (- 1.0 k) 2.0)) into (pow n (* 0.5 (- 1.0 k))) 11.434 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 11.434 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 11.434 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 11.434 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 11.434 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 11.434 * [taylor]: Taking taylor expansion of 0.5 in k 11.434 * [backup-simplify]: Simplify 0.5 into 0.5 11.434 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.435 * [taylor]: Taking taylor expansion of 1.0 in k 11.435 * [backup-simplify]: Simplify 1.0 into 1.0 11.435 * [taylor]: Taking taylor expansion of k in k 11.435 * [backup-simplify]: Simplify 0 into 0 11.435 * [backup-simplify]: Simplify 1 into 1 11.435 * [taylor]: Taking taylor expansion of (log n) in k 11.435 * [taylor]: Taking taylor expansion of n in k 11.435 * [backup-simplify]: Simplify n into n 11.435 * [backup-simplify]: Simplify (log n) into (log n) 11.436 * [backup-simplify]: Simplify (- 0) into 0 11.436 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.437 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 11.437 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 11.437 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 11.437 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 11.437 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 11.437 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 11.437 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 11.437 * [taylor]: Taking taylor expansion of 0.5 in n 11.437 * [backup-simplify]: Simplify 0.5 into 0.5 11.437 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 11.437 * [taylor]: Taking taylor expansion of 1.0 in n 11.437 * [backup-simplify]: Simplify 1.0 into 1.0 11.437 * [taylor]: Taking taylor expansion of k in n 11.437 * [backup-simplify]: Simplify k into k 11.437 * [taylor]: Taking taylor expansion of (log n) in n 11.437 * [taylor]: Taking taylor expansion of n in n 11.437 * [backup-simplify]: Simplify 0 into 0 11.437 * [backup-simplify]: Simplify 1 into 1 11.438 * [backup-simplify]: Simplify (log 1) into 0 11.438 * [backup-simplify]: Simplify (- k) into (- k) 11.438 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 11.438 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 11.438 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.439 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 11.439 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 11.439 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 11.439 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 11.439 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 11.439 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 11.439 * [taylor]: Taking taylor expansion of 0.5 in n 11.439 * [backup-simplify]: Simplify 0.5 into 0.5 11.439 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 11.439 * [taylor]: Taking taylor expansion of 1.0 in n 11.439 * [backup-simplify]: Simplify 1.0 into 1.0 11.439 * [taylor]: Taking taylor expansion of k in n 11.439 * [backup-simplify]: Simplify k into k 11.439 * [taylor]: Taking taylor expansion of (log n) in n 11.439 * [taylor]: Taking taylor expansion of n in n 11.439 * [backup-simplify]: Simplify 0 into 0 11.439 * [backup-simplify]: Simplify 1 into 1 11.440 * [backup-simplify]: Simplify (log 1) into 0 11.440 * [backup-simplify]: Simplify (- k) into (- k) 11.440 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 11.440 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 11.440 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.441 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 11.441 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 11.441 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 11.441 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 11.441 * [taylor]: Taking taylor expansion of 0.5 in k 11.441 * [backup-simplify]: Simplify 0.5 into 0.5 11.441 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 11.441 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.441 * [taylor]: Taking taylor expansion of 1.0 in k 11.441 * [backup-simplify]: Simplify 1.0 into 1.0 11.441 * [taylor]: Taking taylor expansion of k in k 11.441 * [backup-simplify]: Simplify 0 into 0 11.441 * [backup-simplify]: Simplify 1 into 1 11.441 * [taylor]: Taking taylor expansion of (log n) in k 11.441 * [taylor]: Taking taylor expansion of n in k 11.441 * [backup-simplify]: Simplify n into n 11.441 * [backup-simplify]: Simplify (log n) into (log n) 11.442 * [backup-simplify]: Simplify (- 0) into 0 11.442 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.442 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 11.442 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (log n))) into (* 0.5 (log n)) 11.442 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 11.443 * [backup-simplify]: Simplify (pow n 0.5) into (pow n 0.5) 11.444 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.445 * [backup-simplify]: Simplify (- 0) into 0 11.445 * [backup-simplify]: Simplify (+ 0 0) into 0 11.446 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 11.446 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.446 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (log n))) into 0 11.447 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 11.447 * [taylor]: Taking taylor expansion of 0 in k 11.447 * [backup-simplify]: Simplify 0 into 0 11.447 * [backup-simplify]: Simplify 0 into 0 11.448 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 11.449 * [backup-simplify]: Simplify (- 1) into -1 11.449 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.450 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (log n))) into (- (log n)) 11.450 * [backup-simplify]: Simplify (+ (* 0.5 (- (log n))) (* 0 (* 1.0 (log n)))) into (- (* 0.5 (log n))) 11.450 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 1) 1)))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 11.451 * [backup-simplify]: Simplify (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 11.454 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 11.454 * [backup-simplify]: Simplify (- 0) into 0 11.455 * [backup-simplify]: Simplify (+ 0 0) into 0 11.456 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 11.456 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.457 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 11.458 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.458 * [taylor]: Taking taylor expansion of 0 in k 11.458 * [backup-simplify]: Simplify 0 into 0 11.458 * [backup-simplify]: Simplify 0 into 0 11.458 * [backup-simplify]: Simplify 0 into 0 11.460 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 11.461 * [backup-simplify]: Simplify (- 0) into 0 11.461 * [backup-simplify]: Simplify (+ 0 0) into 0 11.462 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (log n)))) into 0 11.463 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (log n))) (* 0 (* 1.0 (log n))))) into 0 11.464 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 11.464 * [backup-simplify]: Simplify (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 11.466 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) (* k 1)) (pow n 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) 11.466 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) 11.466 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 11.466 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 11.466 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 11.466 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 11.466 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 11.466 * [taylor]: Taking taylor expansion of 0.5 in k 11.466 * [backup-simplify]: Simplify 0.5 into 0.5 11.466 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 11.467 * [taylor]: Taking taylor expansion of 1.0 in k 11.467 * [backup-simplify]: Simplify 1.0 into 1.0 11.467 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.467 * [taylor]: Taking taylor expansion of k in k 11.467 * [backup-simplify]: Simplify 0 into 0 11.467 * [backup-simplify]: Simplify 1 into 1 11.467 * [backup-simplify]: Simplify (/ 1 1) into 1 11.467 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 11.467 * [taylor]: Taking taylor expansion of (/ 1 n) in k 11.467 * [taylor]: Taking taylor expansion of n in k 11.467 * [backup-simplify]: Simplify n into n 11.467 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.468 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 11.468 * [backup-simplify]: Simplify (- 1) into -1 11.468 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.469 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 11.469 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 11.469 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 11.469 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 11.469 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 11.469 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 11.469 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 11.469 * [taylor]: Taking taylor expansion of 0.5 in n 11.469 * [backup-simplify]: Simplify 0.5 into 0.5 11.469 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 11.470 * [taylor]: Taking taylor expansion of 1.0 in n 11.470 * [backup-simplify]: Simplify 1.0 into 1.0 11.470 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.470 * [taylor]: Taking taylor expansion of k in n 11.470 * [backup-simplify]: Simplify k into k 11.470 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 11.470 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 11.470 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.470 * [taylor]: Taking taylor expansion of n in n 11.470 * [backup-simplify]: Simplify 0 into 0 11.470 * [backup-simplify]: Simplify 1 into 1 11.470 * [backup-simplify]: Simplify (/ 1 1) into 1 11.471 * [backup-simplify]: Simplify (log 1) into 0 11.471 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 11.471 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 11.471 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 11.472 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 11.472 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 11.472 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 11.472 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 11.472 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 11.472 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 11.472 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 11.472 * [taylor]: Taking taylor expansion of 0.5 in n 11.472 * [backup-simplify]: Simplify 0.5 into 0.5 11.472 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 11.472 * [taylor]: Taking taylor expansion of 1.0 in n 11.472 * [backup-simplify]: Simplify 1.0 into 1.0 11.472 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.472 * [taylor]: Taking taylor expansion of k in n 11.472 * [backup-simplify]: Simplify k into k 11.472 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 11.473 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 11.473 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.473 * [taylor]: Taking taylor expansion of n in n 11.473 * [backup-simplify]: Simplify 0 into 0 11.473 * [backup-simplify]: Simplify 1 into 1 11.473 * [backup-simplify]: Simplify (/ 1 1) into 1 11.473 * [backup-simplify]: Simplify (log 1) into 0 11.474 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 11.474 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 11.474 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 11.474 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 11.475 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 11.475 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 11.475 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in k 11.475 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in k 11.475 * [taylor]: Taking taylor expansion of -0.5 in k 11.475 * [backup-simplify]: Simplify -0.5 into -0.5 11.475 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 11.475 * [taylor]: Taking taylor expansion of (log n) in k 11.475 * [taylor]: Taking taylor expansion of n in k 11.475 * [backup-simplify]: Simplify n into n 11.475 * [backup-simplify]: Simplify (log n) into (log n) 11.475 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 11.475 * [taylor]: Taking taylor expansion of 1.0 in k 11.475 * [backup-simplify]: Simplify 1.0 into 1.0 11.475 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.475 * [taylor]: Taking taylor expansion of k in k 11.475 * [backup-simplify]: Simplify 0 into 0 11.475 * [backup-simplify]: Simplify 1 into 1 11.476 * [backup-simplify]: Simplify (/ 1 1) into 1 11.477 * [backup-simplify]: Simplify (- 1) into -1 11.477 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.477 * [backup-simplify]: Simplify (* (log n) -1) into (* -1 (log n)) 11.477 * [backup-simplify]: Simplify (* -0.5 (* -1 (log n))) into (* 0.5 (log n)) 11.477 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 11.478 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 11.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.480 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.480 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 11.481 * [backup-simplify]: Simplify (- 0) into 0 11.481 * [backup-simplify]: Simplify (+ 0 0) into 0 11.482 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 11.482 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 11.482 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 11.483 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.483 * [taylor]: Taking taylor expansion of 0 in k 11.483 * [backup-simplify]: Simplify 0 into 0 11.483 * [backup-simplify]: Simplify 0 into 0 11.483 * [backup-simplify]: Simplify 0 into 0 11.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.487 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 11.488 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 11.488 * [backup-simplify]: Simplify (- 0) into 0 11.488 * [backup-simplify]: Simplify (+ 0 0) into 0 11.489 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 11.490 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 11.490 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 11.492 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.492 * [taylor]: Taking taylor expansion of 0 in k 11.492 * [backup-simplify]: Simplify 0 into 0 11.492 * [backup-simplify]: Simplify 0 into 0 11.492 * [backup-simplify]: Simplify 0 into 0 11.492 * [backup-simplify]: Simplify 0 into 0 11.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.507 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 11.507 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 11.508 * [backup-simplify]: Simplify (- 0) into 0 11.508 * [backup-simplify]: Simplify (+ 0 0) into 0 11.510 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 11.510 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 11.511 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 11.513 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 11.513 * [taylor]: Taking taylor expansion of 0 in k 11.513 * [backup-simplify]: Simplify 0 into 0 11.514 * [backup-simplify]: Simplify 0 into 0 11.514 * [backup-simplify]: Simplify (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) 11.514 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) 11.514 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 11.514 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 11.514 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 11.514 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 11.514 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 11.514 * [taylor]: Taking taylor expansion of 0.5 in k 11.514 * [backup-simplify]: Simplify 0.5 into 0.5 11.514 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 11.515 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.515 * [taylor]: Taking taylor expansion of k in k 11.515 * [backup-simplify]: Simplify 0 into 0 11.515 * [backup-simplify]: Simplify 1 into 1 11.515 * [backup-simplify]: Simplify (/ 1 1) into 1 11.515 * [taylor]: Taking taylor expansion of 1.0 in k 11.515 * [backup-simplify]: Simplify 1.0 into 1.0 11.515 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 11.515 * [taylor]: Taking taylor expansion of (/ -1 n) in k 11.515 * [taylor]: Taking taylor expansion of -1 in k 11.515 * [backup-simplify]: Simplify -1 into -1 11.515 * [taylor]: Taking taylor expansion of n in k 11.515 * [backup-simplify]: Simplify n into n 11.515 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 11.516 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 11.516 * [backup-simplify]: Simplify (+ 1 0) into 1 11.517 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 11.517 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 11.517 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 11.517 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 11.517 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 11.517 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 11.517 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 11.517 * [taylor]: Taking taylor expansion of 0.5 in n 11.517 * [backup-simplify]: Simplify 0.5 into 0.5 11.517 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 11.517 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.517 * [taylor]: Taking taylor expansion of k in n 11.517 * [backup-simplify]: Simplify k into k 11.518 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 11.518 * [taylor]: Taking taylor expansion of 1.0 in n 11.518 * [backup-simplify]: Simplify 1.0 into 1.0 11.518 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 11.518 * [taylor]: Taking taylor expansion of (/ -1 n) in n 11.518 * [taylor]: Taking taylor expansion of -1 in n 11.518 * [backup-simplify]: Simplify -1 into -1 11.518 * [taylor]: Taking taylor expansion of n in n 11.518 * [backup-simplify]: Simplify 0 into 0 11.518 * [backup-simplify]: Simplify 1 into 1 11.518 * [backup-simplify]: Simplify (/ -1 1) into -1 11.519 * [backup-simplify]: Simplify (log -1) into (log -1) 11.519 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 11.519 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 11.520 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 11.520 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 11.521 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 11.521 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 11.521 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 11.521 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 11.521 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 11.521 * [taylor]: Taking taylor expansion of 0.5 in n 11.521 * [backup-simplify]: Simplify 0.5 into 0.5 11.521 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 11.521 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.521 * [taylor]: Taking taylor expansion of k in n 11.521 * [backup-simplify]: Simplify k into k 11.522 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 11.522 * [taylor]: Taking taylor expansion of 1.0 in n 11.522 * [backup-simplify]: Simplify 1.0 into 1.0 11.522 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 11.522 * [taylor]: Taking taylor expansion of (/ -1 n) in n 11.522 * [taylor]: Taking taylor expansion of -1 in n 11.522 * [backup-simplify]: Simplify -1 into -1 11.522 * [taylor]: Taking taylor expansion of n in n 11.522 * [backup-simplify]: Simplify 0 into 0 11.522 * [backup-simplify]: Simplify 1 into 1 11.522 * [backup-simplify]: Simplify (/ -1 1) into -1 11.523 * [backup-simplify]: Simplify (log -1) into (log -1) 11.523 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 11.523 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 11.524 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 11.524 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 11.525 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 11.525 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 11.525 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 11.525 * [taylor]: Taking taylor expansion of 0.5 in k 11.525 * [backup-simplify]: Simplify 0.5 into 0.5 11.525 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 11.525 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 11.525 * [taylor]: Taking taylor expansion of (log -1) in k 11.525 * [taylor]: Taking taylor expansion of -1 in k 11.526 * [backup-simplify]: Simplify -1 into -1 11.526 * [backup-simplify]: Simplify (log -1) into (log -1) 11.526 * [taylor]: Taking taylor expansion of (log n) in k 11.526 * [taylor]: Taking taylor expansion of n in k 11.526 * [backup-simplify]: Simplify n into n 11.526 * [backup-simplify]: Simplify (log n) into (log n) 11.526 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 11.526 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.526 * [taylor]: Taking taylor expansion of k in k 11.526 * [backup-simplify]: Simplify 0 into 0 11.526 * [backup-simplify]: Simplify 1 into 1 11.527 * [backup-simplify]: Simplify (/ 1 1) into 1 11.527 * [taylor]: Taking taylor expansion of 1.0 in k 11.527 * [backup-simplify]: Simplify 1.0 into 1.0 11.527 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 11.527 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 11.528 * [backup-simplify]: Simplify (+ 1 0) into 1 11.528 * [backup-simplify]: Simplify (* (- (log -1) (log n)) 1) into (- (log -1) (log n)) 11.529 * [backup-simplify]: Simplify (* 0.5 (- (log -1) (log n))) into (* 0.5 (- (log -1) (log n))) 11.529 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 11.530 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 11.531 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.532 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 11.533 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 11.533 * [backup-simplify]: Simplify (+ 0 0) into 0 11.534 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 11.535 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 11.535 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log -1) (log n)))) into 0 11.537 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 11.537 * [taylor]: Taking taylor expansion of 0 in k 11.537 * [backup-simplify]: Simplify 0 into 0 11.537 * [backup-simplify]: Simplify 0 into 0 11.537 * [backup-simplify]: Simplify 0 into 0 11.538 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.541 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 11.541 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 11.542 * [backup-simplify]: Simplify (+ 0 0) into 0 11.542 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 11.543 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 11.544 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 11.546 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.546 * [taylor]: Taking taylor expansion of 0 in k 11.546 * [backup-simplify]: Simplify 0 into 0 11.546 * [backup-simplify]: Simplify 0 into 0 11.547 * [backup-simplify]: Simplify 0 into 0 11.547 * [backup-simplify]: Simplify 0 into 0 11.548 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.553 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 11.554 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 11.554 * [backup-simplify]: Simplify (+ 0 0) into 0 11.556 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 11.557 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 11.558 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 11.561 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 11.561 * [taylor]: Taking taylor expansion of 0 in k 11.561 * [backup-simplify]: Simplify 0 into 0 11.561 * [backup-simplify]: Simplify 0 into 0 11.562 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) 11.562 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 11.562 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) 11.563 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in (k) around 0 11.563 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 11.563 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 11.563 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 11.563 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 11.563 * [taylor]: Taking taylor expansion of 0.5 in k 11.563 * [backup-simplify]: Simplify 0.5 into 0.5 11.563 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.563 * [taylor]: Taking taylor expansion of 1.0 in k 11.563 * [backup-simplify]: Simplify 1.0 into 1.0 11.563 * [taylor]: Taking taylor expansion of k in k 11.563 * [backup-simplify]: Simplify 0 into 0 11.563 * [backup-simplify]: Simplify 1 into 1 11.563 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 11.563 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 11.563 * [taylor]: Taking taylor expansion of 2.0 in k 11.563 * [backup-simplify]: Simplify 2.0 into 2.0 11.563 * [taylor]: Taking taylor expansion of PI in k 11.563 * [backup-simplify]: Simplify PI into PI 11.564 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 11.565 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 11.565 * [backup-simplify]: Simplify (- 0) into 0 11.566 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.567 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 11.569 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 11.572 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 11.572 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 11.572 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 11.572 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 11.572 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 11.572 * [taylor]: Taking taylor expansion of 0.5 in k 11.572 * [backup-simplify]: Simplify 0.5 into 0.5 11.572 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.572 * [taylor]: Taking taylor expansion of 1.0 in k 11.572 * [backup-simplify]: Simplify 1.0 into 1.0 11.572 * [taylor]: Taking taylor expansion of k in k 11.572 * [backup-simplify]: Simplify 0 into 0 11.572 * [backup-simplify]: Simplify 1 into 1 11.572 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 11.572 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 11.572 * [taylor]: Taking taylor expansion of 2.0 in k 11.572 * [backup-simplify]: Simplify 2.0 into 2.0 11.572 * [taylor]: Taking taylor expansion of PI in k 11.572 * [backup-simplify]: Simplify PI into PI 11.573 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 11.574 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 11.574 * [backup-simplify]: Simplify (- 0) into 0 11.575 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.575 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 11.577 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 11.580 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 11.582 * [backup-simplify]: Simplify (pow (* 2.0 PI) 0.5) into (pow (* 2.0 PI) 0.5) 11.583 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 11.585 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 11.585 * [backup-simplify]: Simplify (- 1) into -1 11.586 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.588 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 11.592 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 PI)))) into (- (* 0.5 (log (* 2.0 PI)))) 11.605 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 1) 1)))) into (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 11.615 * [backup-simplify]: Simplify (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) into (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 11.616 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 11.620 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 11.620 * [backup-simplify]: Simplify (- 0) into 0 11.621 * [backup-simplify]: Simplify (+ 0 0) into 0 11.622 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 11.624 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 PI))))) into 0 11.640 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 11.645 * [backup-simplify]: Simplify (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) into (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 11.656 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (pow k 2)) (+ (* (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) k) (pow (* 2.0 PI) 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) 11.656 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) 11.656 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 11.656 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 11.656 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 11.656 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 11.656 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 11.656 * [taylor]: Taking taylor expansion of 0.5 in k 11.656 * [backup-simplify]: Simplify 0.5 into 0.5 11.657 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 11.657 * [taylor]: Taking taylor expansion of 1.0 in k 11.657 * [backup-simplify]: Simplify 1.0 into 1.0 11.657 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.657 * [taylor]: Taking taylor expansion of k in k 11.657 * [backup-simplify]: Simplify 0 into 0 11.657 * [backup-simplify]: Simplify 1 into 1 11.657 * [backup-simplify]: Simplify (/ 1 1) into 1 11.657 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 11.657 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 11.657 * [taylor]: Taking taylor expansion of 2.0 in k 11.657 * [backup-simplify]: Simplify 2.0 into 2.0 11.657 * [taylor]: Taking taylor expansion of PI in k 11.657 * [backup-simplify]: Simplify PI into PI 11.657 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 11.664 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 11.665 * [backup-simplify]: Simplify (- 1) into -1 11.665 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.665 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 11.666 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 11.667 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 11.667 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 11.667 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 11.667 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 11.667 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 11.667 * [taylor]: Taking taylor expansion of 0.5 in k 11.667 * [backup-simplify]: Simplify 0.5 into 0.5 11.667 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 11.667 * [taylor]: Taking taylor expansion of 1.0 in k 11.667 * [backup-simplify]: Simplify 1.0 into 1.0 11.667 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.667 * [taylor]: Taking taylor expansion of k in k 11.667 * [backup-simplify]: Simplify 0 into 0 11.668 * [backup-simplify]: Simplify 1 into 1 11.668 * [backup-simplify]: Simplify (/ 1 1) into 1 11.668 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 11.668 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 11.668 * [taylor]: Taking taylor expansion of 2.0 in k 11.668 * [backup-simplify]: Simplify 2.0 into 2.0 11.668 * [taylor]: Taking taylor expansion of PI in k 11.668 * [backup-simplify]: Simplify PI into PI 11.668 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 11.669 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 11.669 * [backup-simplify]: Simplify (- 1) into -1 11.669 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.670 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 11.671 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 11.672 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 11.674 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 11.674 * [backup-simplify]: Simplify 0 into 0 11.674 * [backup-simplify]: Simplify 0 into 0 11.674 * [backup-simplify]: Simplify 0 into 0 11.674 * [backup-simplify]: Simplify 0 into 0 11.674 * [backup-simplify]: Simplify 0 into 0 11.674 * [backup-simplify]: Simplify 0 into 0 11.675 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) 11.676 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) 11.676 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 11.676 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 11.676 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 11.676 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 11.676 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 11.676 * [taylor]: Taking taylor expansion of 0.5 in k 11.676 * [backup-simplify]: Simplify 0.5 into 0.5 11.677 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 11.677 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.677 * [taylor]: Taking taylor expansion of k in k 11.677 * [backup-simplify]: Simplify 0 into 0 11.677 * [backup-simplify]: Simplify 1 into 1 11.677 * [backup-simplify]: Simplify (/ 1 1) into 1 11.677 * [taylor]: Taking taylor expansion of 1.0 in k 11.677 * [backup-simplify]: Simplify 1.0 into 1.0 11.677 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 11.677 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 11.677 * [taylor]: Taking taylor expansion of 2.0 in k 11.677 * [backup-simplify]: Simplify 2.0 into 2.0 11.677 * [taylor]: Taking taylor expansion of PI in k 11.677 * [backup-simplify]: Simplify PI into PI 11.678 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 11.679 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 11.679 * [backup-simplify]: Simplify (+ 1 0) into 1 11.680 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 11.682 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 11.683 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 11.683 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 11.683 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 11.683 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 11.683 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 11.683 * [taylor]: Taking taylor expansion of 0.5 in k 11.683 * [backup-simplify]: Simplify 0.5 into 0.5 11.683 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 11.683 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.683 * [taylor]: Taking taylor expansion of k in k 11.683 * [backup-simplify]: Simplify 0 into 0 11.683 * [backup-simplify]: Simplify 1 into 1 11.684 * [backup-simplify]: Simplify (/ 1 1) into 1 11.684 * [taylor]: Taking taylor expansion of 1.0 in k 11.684 * [backup-simplify]: Simplify 1.0 into 1.0 11.684 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 11.684 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 11.684 * [taylor]: Taking taylor expansion of 2.0 in k 11.684 * [backup-simplify]: Simplify 2.0 into 2.0 11.684 * [taylor]: Taking taylor expansion of PI in k 11.684 * [backup-simplify]: Simplify PI into PI 11.685 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 11.686 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 11.686 * [backup-simplify]: Simplify (+ 1 0) into 1 11.686 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 11.688 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 11.690 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 11.691 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 11.691 * [backup-simplify]: Simplify 0 into 0 11.691 * [backup-simplify]: Simplify 0 into 0 11.691 * [backup-simplify]: Simplify 0 into 0 11.691 * [backup-simplify]: Simplify 0 into 0 11.691 * [backup-simplify]: Simplify 0 into 0 11.691 * [backup-simplify]: Simplify 0 into 0 11.693 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) 11.693 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1) 11.693 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) 11.693 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in (k) around 0 11.693 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 11.693 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 11.694 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 11.694 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 11.694 * [taylor]: Taking taylor expansion of 0.5 in k 11.694 * [backup-simplify]: Simplify 0.5 into 0.5 11.694 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.694 * [taylor]: Taking taylor expansion of 1.0 in k 11.694 * [backup-simplify]: Simplify 1.0 into 1.0 11.694 * [taylor]: Taking taylor expansion of k in k 11.694 * [backup-simplify]: Simplify 0 into 0 11.694 * [backup-simplify]: Simplify 1 into 1 11.694 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 11.694 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 11.694 * [taylor]: Taking taylor expansion of 2.0 in k 11.694 * [backup-simplify]: Simplify 2.0 into 2.0 11.694 * [taylor]: Taking taylor expansion of PI in k 11.694 * [backup-simplify]: Simplify PI into PI 11.695 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 11.696 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 11.696 * [backup-simplify]: Simplify (- 0) into 0 11.696 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.697 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 11.699 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 11.700 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 11.700 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 11.700 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 11.700 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 11.700 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 11.700 * [taylor]: Taking taylor expansion of 0.5 in k 11.701 * [backup-simplify]: Simplify 0.5 into 0.5 11.701 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.701 * [taylor]: Taking taylor expansion of 1.0 in k 11.701 * [backup-simplify]: Simplify 1.0 into 1.0 11.701 * [taylor]: Taking taylor expansion of k in k 11.701 * [backup-simplify]: Simplify 0 into 0 11.701 * [backup-simplify]: Simplify 1 into 1 11.701 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 11.701 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 11.701 * [taylor]: Taking taylor expansion of 2.0 in k 11.701 * [backup-simplify]: Simplify 2.0 into 2.0 11.701 * [taylor]: Taking taylor expansion of PI in k 11.701 * [backup-simplify]: Simplify PI into PI 11.701 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 11.702 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 11.702 * [backup-simplify]: Simplify (- 0) into 0 11.702 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.702 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 11.703 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 11.705 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 11.706 * [backup-simplify]: Simplify (pow (* 2.0 PI) 0.5) into (pow (* 2.0 PI) 0.5) 11.706 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 11.707 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 11.708 * [backup-simplify]: Simplify (- 1) into -1 11.708 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.709 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 11.711 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 PI)))) into (- (* 0.5 (log (* 2.0 PI)))) 11.718 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 1) 1)))) into (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 11.723 * [backup-simplify]: Simplify (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) into (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 11.723 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 11.725 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 11.725 * [backup-simplify]: Simplify (- 0) into 0 11.726 * [backup-simplify]: Simplify (+ 0 0) into 0 11.726 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 11.727 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 PI))))) into 0 11.736 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 11.741 * [backup-simplify]: Simplify (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) into (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 11.755 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (pow k 2)) (+ (* (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) k) (pow (* 2.0 PI) 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) 11.756 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) 11.756 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 11.756 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 11.756 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 11.756 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 11.756 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 11.756 * [taylor]: Taking taylor expansion of 0.5 in k 11.756 * [backup-simplify]: Simplify 0.5 into 0.5 11.756 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 11.756 * [taylor]: Taking taylor expansion of 1.0 in k 11.756 * [backup-simplify]: Simplify 1.0 into 1.0 11.756 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.756 * [taylor]: Taking taylor expansion of k in k 11.756 * [backup-simplify]: Simplify 0 into 0 11.756 * [backup-simplify]: Simplify 1 into 1 11.757 * [backup-simplify]: Simplify (/ 1 1) into 1 11.757 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 11.757 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 11.757 * [taylor]: Taking taylor expansion of 2.0 in k 11.757 * [backup-simplify]: Simplify 2.0 into 2.0 11.757 * [taylor]: Taking taylor expansion of PI in k 11.757 * [backup-simplify]: Simplify PI into PI 11.758 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 11.759 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 11.759 * [backup-simplify]: Simplify (- 1) into -1 11.760 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.760 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 11.762 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 11.763 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 11.763 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 11.763 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 11.763 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 11.764 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 11.764 * [taylor]: Taking taylor expansion of 0.5 in k 11.764 * [backup-simplify]: Simplify 0.5 into 0.5 11.764 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 11.764 * [taylor]: Taking taylor expansion of 1.0 in k 11.764 * [backup-simplify]: Simplify 1.0 into 1.0 11.764 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.764 * [taylor]: Taking taylor expansion of k in k 11.764 * [backup-simplify]: Simplify 0 into 0 11.764 * [backup-simplify]: Simplify 1 into 1 11.765 * [backup-simplify]: Simplify (/ 1 1) into 1 11.765 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 11.765 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 11.765 * [taylor]: Taking taylor expansion of 2.0 in k 11.765 * [backup-simplify]: Simplify 2.0 into 2.0 11.765 * [taylor]: Taking taylor expansion of PI in k 11.765 * [backup-simplify]: Simplify PI into PI 11.765 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 11.766 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 11.767 * [backup-simplify]: Simplify (- 1) into -1 11.768 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.768 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 11.770 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 11.771 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 11.773 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 11.773 * [backup-simplify]: Simplify 0 into 0 11.773 * [backup-simplify]: Simplify 0 into 0 11.773 * [backup-simplify]: Simplify 0 into 0 11.773 * [backup-simplify]: Simplify 0 into 0 11.773 * [backup-simplify]: Simplify 0 into 0 11.773 * [backup-simplify]: Simplify 0 into 0 11.782 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) 11.783 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) 11.783 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 11.783 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 11.783 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 11.783 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 11.783 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 11.783 * [taylor]: Taking taylor expansion of 0.5 in k 11.783 * [backup-simplify]: Simplify 0.5 into 0.5 11.783 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 11.784 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.784 * [taylor]: Taking taylor expansion of k in k 11.784 * [backup-simplify]: Simplify 0 into 0 11.784 * [backup-simplify]: Simplify 1 into 1 11.784 * [backup-simplify]: Simplify (/ 1 1) into 1 11.784 * [taylor]: Taking taylor expansion of 1.0 in k 11.784 * [backup-simplify]: Simplify 1.0 into 1.0 11.784 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 11.784 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 11.784 * [taylor]: Taking taylor expansion of 2.0 in k 11.784 * [backup-simplify]: Simplify 2.0 into 2.0 11.784 * [taylor]: Taking taylor expansion of PI in k 11.784 * [backup-simplify]: Simplify PI into PI 11.785 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 11.786 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 11.786 * [backup-simplify]: Simplify (+ 1 0) into 1 11.787 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 11.788 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 11.790 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 11.790 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 11.790 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 11.790 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 11.790 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 11.790 * [taylor]: Taking taylor expansion of 0.5 in k 11.790 * [backup-simplify]: Simplify 0.5 into 0.5 11.790 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 11.790 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.790 * [taylor]: Taking taylor expansion of k in k 11.790 * [backup-simplify]: Simplify 0 into 0 11.790 * [backup-simplify]: Simplify 1 into 1 11.790 * [backup-simplify]: Simplify (/ 1 1) into 1 11.790 * [taylor]: Taking taylor expansion of 1.0 in k 11.790 * [backup-simplify]: Simplify 1.0 into 1.0 11.790 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 11.791 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 11.791 * [taylor]: Taking taylor expansion of 2.0 in k 11.791 * [backup-simplify]: Simplify 2.0 into 2.0 11.791 * [taylor]: Taking taylor expansion of PI in k 11.791 * [backup-simplify]: Simplify PI into PI 11.791 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 11.792 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 11.793 * [backup-simplify]: Simplify (+ 1 0) into 1 11.793 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 11.795 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 11.796 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 11.798 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 11.798 * [backup-simplify]: Simplify 0 into 0 11.798 * [backup-simplify]: Simplify 0 into 0 11.798 * [backup-simplify]: Simplify 0 into 0 11.798 * [backup-simplify]: Simplify 0 into 0 11.798 * [backup-simplify]: Simplify 0 into 0 11.798 * [backup-simplify]: Simplify 0 into 0 11.799 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) 11.800 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 11.800 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 11.800 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 11.800 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 11.800 * [taylor]: Taking taylor expansion of 1.0 in k 11.800 * [backup-simplify]: Simplify 1.0 into 1.0 11.800 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 11.800 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.800 * [taylor]: Taking taylor expansion of k in k 11.800 * [backup-simplify]: Simplify 0 into 0 11.800 * [backup-simplify]: Simplify 1 into 1 11.801 * [backup-simplify]: Simplify (/ 1 1) into 1 11.801 * [backup-simplify]: Simplify (sqrt 0) into 0 11.803 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.803 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 11.803 * [taylor]: Taking taylor expansion of 1.0 in k 11.803 * [backup-simplify]: Simplify 1.0 into 1.0 11.803 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 11.803 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.803 * [taylor]: Taking taylor expansion of k in k 11.803 * [backup-simplify]: Simplify 0 into 0 11.803 * [backup-simplify]: Simplify 1 into 1 11.803 * [backup-simplify]: Simplify (/ 1 1) into 1 11.804 * [backup-simplify]: Simplify (sqrt 0) into 0 11.805 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.806 * [backup-simplify]: Simplify (* 1.0 0) into 0 11.806 * [backup-simplify]: Simplify 0 into 0 11.808 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 11.808 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.812 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.814 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 11.815 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.820 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 11.823 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 11.823 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.825 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 11.825 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 11.825 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 11.825 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 11.825 * [taylor]: Taking taylor expansion of 1.0 in k 11.826 * [backup-simplify]: Simplify 1.0 into 1.0 11.826 * [taylor]: Taking taylor expansion of (sqrt k) in k 11.826 * [taylor]: Taking taylor expansion of k in k 11.826 * [backup-simplify]: Simplify 0 into 0 11.826 * [backup-simplify]: Simplify 1 into 1 11.826 * [backup-simplify]: Simplify (sqrt 0) into 0 11.828 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.828 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 11.828 * [taylor]: Taking taylor expansion of 1.0 in k 11.828 * [backup-simplify]: Simplify 1.0 into 1.0 11.828 * [taylor]: Taking taylor expansion of (sqrt k) in k 11.828 * [taylor]: Taking taylor expansion of k in k 11.828 * [backup-simplify]: Simplify 0 into 0 11.828 * [backup-simplify]: Simplify 1 into 1 11.828 * [backup-simplify]: Simplify (sqrt 0) into 0 11.830 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.830 * [backup-simplify]: Simplify (* 1.0 0) into 0 11.830 * [backup-simplify]: Simplify 0 into 0 11.832 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 11.832 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.836 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.838 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 11.839 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.843 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 11.845 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 11.846 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.847 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 k) 3)) (+ (* (- +nan.0) (pow (/ 1 k) 2)) (* (- +nan.0) (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 11.847 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 11.847 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 11.847 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 11.847 * [taylor]: Taking taylor expansion of 1.0 in k 11.847 * [backup-simplify]: Simplify 1.0 into 1.0 11.847 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 11.847 * [taylor]: Taking taylor expansion of (/ -1 k) in k 11.847 * [taylor]: Taking taylor expansion of -1 in k 11.847 * [backup-simplify]: Simplify -1 into -1 11.847 * [taylor]: Taking taylor expansion of k in k 11.847 * [backup-simplify]: Simplify 0 into 0 11.847 * [backup-simplify]: Simplify 1 into 1 11.848 * [backup-simplify]: Simplify (/ -1 1) into -1 11.848 * [backup-simplify]: Simplify (sqrt 0) into 0 11.849 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 11.849 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 11.849 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 11.849 * [taylor]: Taking taylor expansion of 1.0 in k 11.849 * [backup-simplify]: Simplify 1.0 into 1.0 11.849 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 11.849 * [taylor]: Taking taylor expansion of (/ -1 k) in k 11.849 * [taylor]: Taking taylor expansion of -1 in k 11.849 * [backup-simplify]: Simplify -1 into -1 11.849 * [taylor]: Taking taylor expansion of k in k 11.849 * [backup-simplify]: Simplify 0 into 0 11.849 * [backup-simplify]: Simplify 1 into 1 11.849 * [backup-simplify]: Simplify (/ -1 1) into -1 11.850 * [backup-simplify]: Simplify (sqrt 0) into 0 11.850 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 11.851 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 11.851 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.851 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.853 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.855 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 11.855 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.855 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.858 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 11.860 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 11.861 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.861 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 11.861 * * * [progress]: simplifying candidates 11.865 * [simplify]: Simplifying: (expm1 (pow n (/ (- 1.0 k) 2.0))) (log1p (pow n (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (/ (sqrt (- 1.0 k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n 1) (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))) (exp (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log1p (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0)) (pow (* 2.0 PI) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) 1) (pow (* 2.0 PI) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (exp (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log1p (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0)) (pow (* 2.0 PI) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) 1) (pow (* 2.0 PI) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (exp (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (- (+ (* +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))))) 11.868 * * [simplify]: Extracting # 0 : cost 0 11.868 * * [simplify]: Extracting # 1 : cost 0 11.869 * * [simplify]: Extracting # 2 : cost 0 11.869 * * [simplify]: Extracting # 3 : cost 0 11.869 * * [simplify]: Extracting # 4 : cost 0 11.869 * * [simplify]: Extracting # 5 : cost 0 11.870 * * [simplify]: Extracting # 6 : cost 0 11.870 * * [simplify]: Extracting # 7 : cost 0 11.870 * * [simplify]: Extracting # 8 : cost 0 11.871 * * [simplify]: Extracting # 9 : cost 0 11.871 * * [simplify]: Extracting # 10 : cost 0 11.871 * * [simplify]: Extracting # 11 : cost 0 11.871 * * [simplify]: Extracting # 12 : cost 0 11.872 * * [simplify]: Extracting # 13 : cost 0 11.872 * * [simplify]: Extracting # 14 : cost 0 11.872 * * [simplify]: iteration 0 : 246 enodes (cost 1851 ) 11.979 * * [simplify]: Extracting # 0 : cost 0 11.980 * * [simplify]: Extracting # 1 : cost 0 11.981 * * [simplify]: Extracting # 2 : cost 0 11.981 * * [simplify]: Extracting # 3 : cost 0 11.982 * * [simplify]: Extracting # 4 : cost 0 11.983 * * [simplify]: iteration 1 : 565 enodes (cost 1716 ) 12.310 * * [simplify]: Extracting # 0 : cost 0 12.313 * * [simplify]: Extracting # 1 : cost 0 12.317 * * [simplify]: Extracting # 2 : cost 0 12.321 * * [simplify]: Extracting # 3 : cost 0 12.324 * * [simplify]: Extracting # 4 : cost 0 12.328 * * [simplify]: iteration 2 : 1464 enodes (cost 1668 ) 13.611 * * [simplify]: Extracting # 0 : cost 0 13.617 * * [simplify]: Extracting # 1 : cost 0 13.623 * * [simplify]: Extracting # 2 : cost 0 13.629 * * [simplify]: Extracting # 3 : cost 0 13.635 * * [simplify]: Extracting # 4 : cost 0 13.651 * * [simplify]: iteration 3 : 4938 enodes (cost 1627 ) 15.294 * * [simplify]: Extracting # 0 : cost 0 15.317 * * [simplify]: Extracting # 1 : cost 0 15.329 * * [simplify]: iteration done: 5000 enodes (cost 1627 ) 15.331 * [simplify]: Simplified to: (expm1 (pow n (/ (- 1.0 k) 2.0))) (log1p (pow n (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0))) (/ (- 1.0 k) 2.0) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (sqrt (- 1.0 k))) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) n (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (+ (sqrt 1.0) (sqrt k))) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) n n (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) 1 (pow n (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))) (exp (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))) (pow (pow n (/ (- 1.0 k) 2.0)) 3) (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log1p (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (- 1.0 k) 2.0) (log (* 2.0 PI))) (* (/ (- 1.0 k) 2.0) (log (* 2.0 PI))) (* (/ (- 1.0 k) 2.0) (log (* 2.0 PI))) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0)) (pow (* 2.0 PI) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 PI) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 PI) (sqrt (- 1.0 k))) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (* 2.0 PI) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 PI) (+ (sqrt 1.0) (sqrt k))) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (* 2.0 PI) (* 2.0 PI) (pow (* 2.0 PI) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (* (/ (- 1.0 k) 2.0) (log (* 2.0 PI))) (exp (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log1p (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (- 1.0 k) 2.0) (log (* 2.0 PI))) (* (/ (- 1.0 k) 2.0) (log (* 2.0 PI))) (* (/ (- 1.0 k) 2.0) (log (* 2.0 PI))) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0)) (pow (* 2.0 PI) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 PI) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 PI) (sqrt (- 1.0 k))) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (* 2.0 PI) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 PI) (+ (sqrt 1.0) (sqrt k))) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (* 2.0 PI) (* 2.0 PI) (pow (* 2.0 PI) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (* (/ (- 1.0 k) 2.0) (log (* 2.0 PI))) (exp (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt k))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (+ (* (pow (pow n 1.0) 0.5) (- (* 0.125 (* (pow k 2) (pow (log n) 2))) (* 0.5 (* k (log n))))) (pow n 0.5)) (pow (/ 1 n) (* -0.5 (- 1.0 k))) (pow (exp (* 0.5 (- 1.0 k))) (+ 0 (log n))) (+ (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (- (* 0.125 (* (pow k 2) (pow (log (* 2.0 PI)) 2))) (* 0.5 (* k (log (* 2.0 PI)))))) (pow (* 2.0 PI) 0.5)) (pow (pow (* 2.0 PI) (- 1.0 k)) 0.5) (pow (pow (* 2.0 PI) (- 1.0 k)) 0.5) (+ (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (- (* 0.125 (* (pow k 2) (pow (log (* 2.0 PI)) 2))) (* 0.5 (* k (log (* 2.0 PI)))))) (pow (* 2.0 PI) 0.5)) (pow (pow (* 2.0 PI) (- 1.0 k)) 0.5) (pow (pow (* 2.0 PI) (- 1.0 k)) 0.5) (- (+ +nan.0 (* +nan.0 (- k (pow k 2))))) (- (- (/ +nan.0 k) (/ +nan.0 (pow k 3))) (/ (/ +nan.0 k) k)) (- (- (/ +nan.0 k) +nan.0) (/ (/ +nan.0 k) k)) 15.333 * * * [progress]: adding candidates to table 16.296 * * [progress]: iteration 4 / 4 16.297 * * * [progress]: picking best candidate 16.326 * * * * [pick]: Picked # 16.326 * * * [progress]: localizing error 16.376 * * * [progress]: generating rewritten candidates 16.376 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2) 16.420 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 16.462 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 16.477 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 16.489 * * * [progress]: generating series expansions 16.489 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2) 16.490 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 16.490 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 16.490 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 16.490 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 16.490 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 16.490 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 16.490 * [taylor]: Taking taylor expansion of 0.5 in k 16.490 * [backup-simplify]: Simplify 0.5 into 0.5 16.490 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 16.490 * [taylor]: Taking taylor expansion of 1.0 in k 16.490 * [backup-simplify]: Simplify 1.0 into 1.0 16.490 * [taylor]: Taking taylor expansion of k in k 16.490 * [backup-simplify]: Simplify 0 into 0 16.491 * [backup-simplify]: Simplify 1 into 1 16.491 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 16.491 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 16.491 * [taylor]: Taking taylor expansion of 2.0 in k 16.491 * [backup-simplify]: Simplify 2.0 into 2.0 16.491 * [taylor]: Taking taylor expansion of (* n PI) in k 16.491 * [taylor]: Taking taylor expansion of n in k 16.491 * [backup-simplify]: Simplify n into n 16.491 * [taylor]: Taking taylor expansion of PI in k 16.491 * [backup-simplify]: Simplify PI into PI 16.491 * [backup-simplify]: Simplify (* n PI) into (* n PI) 16.491 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 16.491 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 16.491 * [backup-simplify]: Simplify (- 0) into 0 16.491 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 16.492 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 16.492 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 16.492 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 16.492 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 16.492 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 16.492 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 16.492 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 16.492 * [taylor]: Taking taylor expansion of 0.5 in n 16.492 * [backup-simplify]: Simplify 0.5 into 0.5 16.492 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 16.492 * [taylor]: Taking taylor expansion of 1.0 in n 16.492 * [backup-simplify]: Simplify 1.0 into 1.0 16.492 * [taylor]: Taking taylor expansion of k in n 16.492 * [backup-simplify]: Simplify k into k 16.492 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 16.492 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 16.492 * [taylor]: Taking taylor expansion of 2.0 in n 16.492 * [backup-simplify]: Simplify 2.0 into 2.0 16.492 * [taylor]: Taking taylor expansion of (* n PI) in n 16.492 * [taylor]: Taking taylor expansion of n in n 16.492 * [backup-simplify]: Simplify 0 into 0 16.492 * [backup-simplify]: Simplify 1 into 1 16.492 * [taylor]: Taking taylor expansion of PI in n 16.492 * [backup-simplify]: Simplify PI into PI 16.493 * [backup-simplify]: Simplify (* 0 PI) into 0 16.493 * [backup-simplify]: Simplify (* 2.0 0) into 0 16.494 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 16.495 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 16.496 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.496 * [backup-simplify]: Simplify (- k) into (- k) 16.496 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 16.496 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 16.497 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 16.498 * [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)))) 16.499 * [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))))) 16.499 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 16.499 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 16.499 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 16.499 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 16.499 * [taylor]: Taking taylor expansion of 0.5 in n 16.499 * [backup-simplify]: Simplify 0.5 into 0.5 16.499 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 16.499 * [taylor]: Taking taylor expansion of 1.0 in n 16.499 * [backup-simplify]: Simplify 1.0 into 1.0 16.499 * [taylor]: Taking taylor expansion of k in n 16.499 * [backup-simplify]: Simplify k into k 16.499 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 16.499 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 16.499 * [taylor]: Taking taylor expansion of 2.0 in n 16.499 * [backup-simplify]: Simplify 2.0 into 2.0 16.499 * [taylor]: Taking taylor expansion of (* n PI) in n 16.499 * [taylor]: Taking taylor expansion of n in n 16.499 * [backup-simplify]: Simplify 0 into 0 16.499 * [backup-simplify]: Simplify 1 into 1 16.499 * [taylor]: Taking taylor expansion of PI in n 16.499 * [backup-simplify]: Simplify PI into PI 16.500 * [backup-simplify]: Simplify (* 0 PI) into 0 16.500 * [backup-simplify]: Simplify (* 2.0 0) into 0 16.501 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 16.502 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 16.503 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.503 * [backup-simplify]: Simplify (- k) into (- k) 16.503 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 16.503 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 16.504 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 16.504 * [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)))) 16.505 * [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))))) 16.505 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 16.505 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 16.505 * [taylor]: Taking taylor expansion of 0.5 in k 16.505 * [backup-simplify]: Simplify 0.5 into 0.5 16.505 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 16.505 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 16.505 * [taylor]: Taking taylor expansion of 1.0 in k 16.505 * [backup-simplify]: Simplify 1.0 into 1.0 16.505 * [taylor]: Taking taylor expansion of k in k 16.505 * [backup-simplify]: Simplify 0 into 0 16.505 * [backup-simplify]: Simplify 1 into 1 16.505 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 16.505 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 16.505 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 16.505 * [taylor]: Taking taylor expansion of 2.0 in k 16.505 * [backup-simplify]: Simplify 2.0 into 2.0 16.505 * [taylor]: Taking taylor expansion of PI in k 16.505 * [backup-simplify]: Simplify PI into PI 16.506 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.506 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.506 * [taylor]: Taking taylor expansion of (log n) in k 16.506 * [taylor]: Taking taylor expansion of n in k 16.506 * [backup-simplify]: Simplify n into n 16.506 * [backup-simplify]: Simplify (log n) into (log n) 16.507 * [backup-simplify]: Simplify (- 0) into 0 16.507 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 16.508 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 16.508 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 16.509 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 16.510 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 16.510 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 16.511 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 16.512 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 16.513 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 16.513 * [backup-simplify]: Simplify (- 0) into 0 16.513 * [backup-simplify]: Simplify (+ 0 0) into 0 16.513 * [backup-simplify]: Simplify (+ (* 0.5 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)) 16.515 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 16.516 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 16.516 * [taylor]: Taking taylor expansion of 0 in k 16.516 * [backup-simplify]: Simplify 0 into 0 16.516 * [backup-simplify]: Simplify 0 into 0 16.517 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 16.518 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 16.518 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 16.518 * [backup-simplify]: Simplify (+ 0 0) into 0 16.519 * [backup-simplify]: Simplify (- 1) into -1 16.519 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.520 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 16.521 * [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)))) 16.523 * [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)))))) 16.525 * [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)))))) 16.526 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 16.527 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 16.528 * [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 16.529 * [backup-simplify]: Simplify (- 0) into 0 16.529 * [backup-simplify]: Simplify (+ 0 0) into 0 16.529 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 16.530 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 16.532 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 16.534 * [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 16.534 * [taylor]: Taking taylor expansion of 0 in k 16.534 * [backup-simplify]: Simplify 0 into 0 16.534 * [backup-simplify]: Simplify 0 into 0 16.534 * [backup-simplify]: Simplify 0 into 0 16.536 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) 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 16.542 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 16.542 * [backup-simplify]: Simplify (+ 0 0) into 0 16.542 * [backup-simplify]: Simplify (- 0) into 0 16.543 * [backup-simplify]: Simplify (+ 0 0) into 0 16.545 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 16.548 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 16.551 * [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)))))) 16.555 * [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)))))) 16.561 * [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)))))) 16.567 * [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)))) 16.567 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 16.567 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 16.567 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 16.567 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 16.567 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 16.567 * [taylor]: Taking taylor expansion of 0.5 in k 16.567 * [backup-simplify]: Simplify 0.5 into 0.5 16.567 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 16.567 * [taylor]: Taking taylor expansion of 1.0 in k 16.567 * [backup-simplify]: Simplify 1.0 into 1.0 16.567 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.567 * [taylor]: Taking taylor expansion of k in k 16.567 * [backup-simplify]: Simplify 0 into 0 16.567 * [backup-simplify]: Simplify 1 into 1 16.568 * [backup-simplify]: Simplify (/ 1 1) into 1 16.568 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 16.568 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 16.568 * [taylor]: Taking taylor expansion of 2.0 in k 16.568 * [backup-simplify]: Simplify 2.0 into 2.0 16.568 * [taylor]: Taking taylor expansion of (/ PI n) in k 16.568 * [taylor]: Taking taylor expansion of PI in k 16.568 * [backup-simplify]: Simplify PI into PI 16.568 * [taylor]: Taking taylor expansion of n in k 16.568 * [backup-simplify]: Simplify n into n 16.568 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 16.568 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 16.568 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 16.568 * [backup-simplify]: Simplify (- 1) into -1 16.569 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.569 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 16.569 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 16.569 * [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))))) 16.569 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 16.569 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 16.569 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 16.569 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 16.569 * [taylor]: Taking taylor expansion of 0.5 in n 16.569 * [backup-simplify]: Simplify 0.5 into 0.5 16.569 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 16.569 * [taylor]: Taking taylor expansion of 1.0 in n 16.570 * [backup-simplify]: Simplify 1.0 into 1.0 16.570 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.570 * [taylor]: Taking taylor expansion of k in n 16.570 * [backup-simplify]: Simplify k into k 16.570 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.570 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 16.570 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 16.570 * [taylor]: Taking taylor expansion of 2.0 in n 16.570 * [backup-simplify]: Simplify 2.0 into 2.0 16.570 * [taylor]: Taking taylor expansion of (/ PI n) in n 16.570 * [taylor]: Taking taylor expansion of PI in n 16.570 * [backup-simplify]: Simplify PI into PI 16.570 * [taylor]: Taking taylor expansion of n in n 16.570 * [backup-simplify]: Simplify 0 into 0 16.570 * [backup-simplify]: Simplify 1 into 1 16.570 * [backup-simplify]: Simplify (/ PI 1) into PI 16.570 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.571 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.571 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 16.571 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 16.571 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 16.572 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 16.573 * [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)))) 16.574 * [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))))) 16.574 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 16.574 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 16.574 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 16.574 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 16.574 * [taylor]: Taking taylor expansion of 0.5 in n 16.574 * [backup-simplify]: Simplify 0.5 into 0.5 16.574 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 16.574 * [taylor]: Taking taylor expansion of 1.0 in n 16.574 * [backup-simplify]: Simplify 1.0 into 1.0 16.574 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.574 * [taylor]: Taking taylor expansion of k in n 16.574 * [backup-simplify]: Simplify k into k 16.574 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.574 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 16.574 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 16.574 * [taylor]: Taking taylor expansion of 2.0 in n 16.574 * [backup-simplify]: Simplify 2.0 into 2.0 16.574 * [taylor]: Taking taylor expansion of (/ PI n) in n 16.574 * [taylor]: Taking taylor expansion of PI in n 16.574 * [backup-simplify]: Simplify PI into PI 16.574 * [taylor]: Taking taylor expansion of n in n 16.574 * [backup-simplify]: Simplify 0 into 0 16.574 * [backup-simplify]: Simplify 1 into 1 16.574 * [backup-simplify]: Simplify (/ PI 1) into PI 16.575 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.575 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.575 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 16.576 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 16.576 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 16.577 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 16.577 * [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)))) 16.578 * [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))))) 16.578 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 16.578 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 16.578 * [taylor]: Taking taylor expansion of 0.5 in k 16.578 * [backup-simplify]: Simplify 0.5 into 0.5 16.578 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 16.578 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 16.578 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 16.578 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 16.578 * [taylor]: Taking taylor expansion of 2.0 in k 16.578 * [backup-simplify]: Simplify 2.0 into 2.0 16.578 * [taylor]: Taking taylor expansion of PI in k 16.578 * [backup-simplify]: Simplify PI into PI 16.579 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.579 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.579 * [taylor]: Taking taylor expansion of (log n) in k 16.579 * [taylor]: Taking taylor expansion of n in k 16.579 * [backup-simplify]: Simplify n into n 16.579 * [backup-simplify]: Simplify (log n) into (log n) 16.580 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 16.580 * [taylor]: Taking taylor expansion of 1.0 in k 16.580 * [backup-simplify]: Simplify 1.0 into 1.0 16.580 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.580 * [taylor]: Taking taylor expansion of k in k 16.580 * [backup-simplify]: Simplify 0 into 0 16.580 * [backup-simplify]: Simplify 1 into 1 16.580 * [backup-simplify]: Simplify (/ 1 1) into 1 16.580 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 16.581 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 16.581 * [backup-simplify]: Simplify (- 1) into -1 16.581 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.582 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 16.582 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 16.584 * [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))))) 16.585 * [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))))) 16.586 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 16.586 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 16.588 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 16.588 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 16.589 * [backup-simplify]: Simplify (- 0) into 0 16.589 * [backup-simplify]: Simplify (+ 0 0) into 0 16.590 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 16.591 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 16.592 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 16.594 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 16.594 * [taylor]: Taking taylor expansion of 0 in k 16.594 * [backup-simplify]: Simplify 0 into 0 16.594 * [backup-simplify]: Simplify 0 into 0 16.594 * [backup-simplify]: Simplify 0 into 0 16.595 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.596 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 16.600 * [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 16.600 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 16.600 * [backup-simplify]: Simplify (- 0) into 0 16.601 * [backup-simplify]: Simplify (+ 0 0) into 0 16.601 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 16.603 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 16.604 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 16.607 * [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 16.607 * [taylor]: Taking taylor expansion of 0 in k 16.607 * [backup-simplify]: Simplify 0 into 0 16.607 * [backup-simplify]: Simplify 0 into 0 16.607 * [backup-simplify]: Simplify 0 into 0 16.607 * [backup-simplify]: Simplify 0 into 0 16.608 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.609 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 16.615 * [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 16.615 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 16.616 * [backup-simplify]: Simplify (- 0) into 0 16.616 * [backup-simplify]: Simplify (+ 0 0) into 0 16.617 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 16.618 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 16.620 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 16.623 * [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 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 16.624 * [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)))) 16.625 * [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))) 16.625 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 16.625 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 16.625 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 16.625 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 16.625 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 16.625 * [taylor]: Taking taylor expansion of 0.5 in k 16.625 * [backup-simplify]: Simplify 0.5 into 0.5 16.625 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 16.625 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.625 * [taylor]: Taking taylor expansion of k in k 16.625 * [backup-simplify]: Simplify 0 into 0 16.625 * [backup-simplify]: Simplify 1 into 1 16.626 * [backup-simplify]: Simplify (/ 1 1) into 1 16.626 * [taylor]: Taking taylor expansion of 1.0 in k 16.626 * [backup-simplify]: Simplify 1.0 into 1.0 16.626 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 16.626 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 16.626 * [taylor]: Taking taylor expansion of -2.0 in k 16.626 * [backup-simplify]: Simplify -2.0 into -2.0 16.626 * [taylor]: Taking taylor expansion of (/ PI n) in k 16.626 * [taylor]: Taking taylor expansion of PI in k 16.626 * [backup-simplify]: Simplify PI into PI 16.626 * [taylor]: Taking taylor expansion of n in k 16.626 * [backup-simplify]: Simplify n into n 16.626 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 16.626 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 16.626 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 16.627 * [backup-simplify]: Simplify (+ 1 0) into 1 16.627 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 16.627 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 16.627 * [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)))))) 16.627 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 16.627 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 16.628 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 16.628 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 16.628 * [taylor]: Taking taylor expansion of 0.5 in n 16.628 * [backup-simplify]: Simplify 0.5 into 0.5 16.628 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 16.628 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.628 * [taylor]: Taking taylor expansion of k in n 16.628 * [backup-simplify]: Simplify k into k 16.628 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.628 * [taylor]: Taking taylor expansion of 1.0 in n 16.628 * [backup-simplify]: Simplify 1.0 into 1.0 16.628 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 16.628 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 16.628 * [taylor]: Taking taylor expansion of -2.0 in n 16.628 * [backup-simplify]: Simplify -2.0 into -2.0 16.628 * [taylor]: Taking taylor expansion of (/ PI n) in n 16.628 * [taylor]: Taking taylor expansion of PI in n 16.628 * [backup-simplify]: Simplify PI into PI 16.628 * [taylor]: Taking taylor expansion of n in n 16.628 * [backup-simplify]: Simplify 0 into 0 16.628 * [backup-simplify]: Simplify 1 into 1 16.629 * [backup-simplify]: Simplify (/ PI 1) into PI 16.629 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 16.630 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 16.630 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 16.630 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 16.631 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 16.632 * [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)))) 16.634 * [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))))) 16.634 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 16.634 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 16.634 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 16.634 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 16.634 * [taylor]: Taking taylor expansion of 0.5 in n 16.634 * [backup-simplify]: Simplify 0.5 into 0.5 16.634 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 16.634 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.634 * [taylor]: Taking taylor expansion of k in n 16.634 * [backup-simplify]: Simplify k into k 16.634 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.634 * [taylor]: Taking taylor expansion of 1.0 in n 16.634 * [backup-simplify]: Simplify 1.0 into 1.0 16.634 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 16.634 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 16.634 * [taylor]: Taking taylor expansion of -2.0 in n 16.634 * [backup-simplify]: Simplify -2.0 into -2.0 16.634 * [taylor]: Taking taylor expansion of (/ PI n) in n 16.634 * [taylor]: Taking taylor expansion of PI in n 16.634 * [backup-simplify]: Simplify PI into PI 16.634 * [taylor]: Taking taylor expansion of n in n 16.634 * [backup-simplify]: Simplify 0 into 0 16.634 * [backup-simplify]: Simplify 1 into 1 16.635 * [backup-simplify]: Simplify (/ PI 1) into PI 16.635 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 16.636 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 16.636 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 16.636 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 16.638 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 16.639 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 16.640 * [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))))) 16.640 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 16.640 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 16.640 * [taylor]: Taking taylor expansion of 0.5 in k 16.640 * [backup-simplify]: Simplify 0.5 into 0.5 16.640 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 16.640 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 16.640 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.640 * [taylor]: Taking taylor expansion of k in k 16.640 * [backup-simplify]: Simplify 0 into 0 16.640 * [backup-simplify]: Simplify 1 into 1 16.641 * [backup-simplify]: Simplify (/ 1 1) into 1 16.641 * [taylor]: Taking taylor expansion of 1.0 in k 16.641 * [backup-simplify]: Simplify 1.0 into 1.0 16.641 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 16.641 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 16.641 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 16.641 * [taylor]: Taking taylor expansion of -2.0 in k 16.641 * [backup-simplify]: Simplify -2.0 into -2.0 16.641 * [taylor]: Taking taylor expansion of PI in k 16.641 * [backup-simplify]: Simplify PI into PI 16.641 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 16.642 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 16.642 * [taylor]: Taking taylor expansion of (log n) in k 16.642 * [taylor]: Taking taylor expansion of n in k 16.642 * [backup-simplify]: Simplify n into n 16.642 * [backup-simplify]: Simplify (log n) into (log n) 16.643 * [backup-simplify]: Simplify (+ 1 0) into 1 16.643 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 16.644 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 16.645 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 16.646 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 16.647 * [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))))) 16.648 * [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))))) 16.649 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 16.650 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 16.652 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 16.652 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 16.652 * [backup-simplify]: Simplify (+ 0 0) into 0 16.653 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 16.654 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 16.656 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 16.658 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 16.658 * [taylor]: Taking taylor expansion of 0 in k 16.658 * [backup-simplify]: Simplify 0 into 0 16.658 * [backup-simplify]: Simplify 0 into 0 16.658 * [backup-simplify]: Simplify 0 into 0 16.659 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.660 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 16.663 * [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 16.664 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 16.664 * [backup-simplify]: Simplify (+ 0 0) into 0 16.665 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 16.666 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 16.668 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 16.670 * [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 16.670 * [taylor]: Taking taylor expansion of 0 in k 16.670 * [backup-simplify]: Simplify 0 into 0 16.670 * [backup-simplify]: Simplify 0 into 0 16.670 * [backup-simplify]: Simplify 0 into 0 16.670 * [backup-simplify]: Simplify 0 into 0 16.671 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.672 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 16.678 * [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 16.679 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 16.679 * [backup-simplify]: Simplify (+ 0 0) into 0 16.680 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 16.682 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 16.684 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 16.686 * [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 16.686 * [taylor]: Taking taylor expansion of 0 in k 16.686 * [backup-simplify]: Simplify 0 into 0 16.686 * [backup-simplify]: Simplify 0 into 0 16.688 * [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)))))) 16.688 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 16.688 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 16.688 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 16.689 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 16.689 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 16.689 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 16.689 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 16.689 * [taylor]: Taking taylor expansion of 0.5 in k 16.689 * [backup-simplify]: Simplify 0.5 into 0.5 16.689 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 16.689 * [taylor]: Taking taylor expansion of 1.0 in k 16.689 * [backup-simplify]: Simplify 1.0 into 1.0 16.689 * [taylor]: Taking taylor expansion of k in k 16.689 * [backup-simplify]: Simplify 0 into 0 16.689 * [backup-simplify]: Simplify 1 into 1 16.689 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 16.689 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 16.689 * [taylor]: Taking taylor expansion of 2.0 in k 16.689 * [backup-simplify]: Simplify 2.0 into 2.0 16.689 * [taylor]: Taking taylor expansion of (* n PI) in k 16.689 * [taylor]: Taking taylor expansion of n in k 16.689 * [backup-simplify]: Simplify n into n 16.689 * [taylor]: Taking taylor expansion of PI in k 16.689 * [backup-simplify]: Simplify PI into PI 16.689 * [backup-simplify]: Simplify (* n PI) into (* n PI) 16.689 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 16.689 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 16.690 * [backup-simplify]: Simplify (- 0) into 0 16.690 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 16.690 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 16.690 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 16.691 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 16.691 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 16.691 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 16.691 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 16.691 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 16.691 * [taylor]: Taking taylor expansion of 0.5 in n 16.691 * [backup-simplify]: Simplify 0.5 into 0.5 16.691 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 16.691 * [taylor]: Taking taylor expansion of 1.0 in n 16.691 * [backup-simplify]: Simplify 1.0 into 1.0 16.691 * [taylor]: Taking taylor expansion of k in n 16.691 * [backup-simplify]: Simplify k into k 16.691 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 16.691 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 16.691 * [taylor]: Taking taylor expansion of 2.0 in n 16.691 * [backup-simplify]: Simplify 2.0 into 2.0 16.691 * [taylor]: Taking taylor expansion of (* n PI) in n 16.691 * [taylor]: Taking taylor expansion of n in n 16.691 * [backup-simplify]: Simplify 0 into 0 16.691 * [backup-simplify]: Simplify 1 into 1 16.691 * [taylor]: Taking taylor expansion of PI in n 16.691 * [backup-simplify]: Simplify PI into PI 16.692 * [backup-simplify]: Simplify (* 0 PI) into 0 16.692 * [backup-simplify]: Simplify (* 2.0 0) into 0 16.693 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 16.695 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 16.696 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.696 * [backup-simplify]: Simplify (- k) into (- k) 16.696 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 16.696 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 16.697 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 16.706 * [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)))) 16.707 * [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))))) 16.707 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 16.707 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 16.707 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 16.707 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 16.707 * [taylor]: Taking taylor expansion of 0.5 in n 16.707 * [backup-simplify]: Simplify 0.5 into 0.5 16.707 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 16.707 * [taylor]: Taking taylor expansion of 1.0 in n 16.707 * [backup-simplify]: Simplify 1.0 into 1.0 16.707 * [taylor]: Taking taylor expansion of k in n 16.707 * [backup-simplify]: Simplify k into k 16.707 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 16.707 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 16.707 * [taylor]: Taking taylor expansion of 2.0 in n 16.707 * [backup-simplify]: Simplify 2.0 into 2.0 16.707 * [taylor]: Taking taylor expansion of (* n PI) in n 16.708 * [taylor]: Taking taylor expansion of n in n 16.708 * [backup-simplify]: Simplify 0 into 0 16.708 * [backup-simplify]: Simplify 1 into 1 16.708 * [taylor]: Taking taylor expansion of PI in n 16.708 * [backup-simplify]: Simplify PI into PI 16.708 * [backup-simplify]: Simplify (* 0 PI) into 0 16.708 * [backup-simplify]: Simplify (* 2.0 0) into 0 16.710 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 16.711 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 16.712 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.712 * [backup-simplify]: Simplify (- k) into (- k) 16.712 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 16.712 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 16.714 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 16.715 * [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)))) 16.716 * [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))))) 16.716 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 16.716 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 16.716 * [taylor]: Taking taylor expansion of 0.5 in k 16.716 * [backup-simplify]: Simplify 0.5 into 0.5 16.716 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 16.716 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 16.716 * [taylor]: Taking taylor expansion of 1.0 in k 16.716 * [backup-simplify]: Simplify 1.0 into 1.0 16.716 * [taylor]: Taking taylor expansion of k in k 16.716 * [backup-simplify]: Simplify 0 into 0 16.716 * [backup-simplify]: Simplify 1 into 1 16.716 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 16.716 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 16.716 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 16.716 * [taylor]: Taking taylor expansion of 2.0 in k 16.716 * [backup-simplify]: Simplify 2.0 into 2.0 16.716 * [taylor]: Taking taylor expansion of PI in k 16.716 * [backup-simplify]: Simplify PI into PI 16.717 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.718 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.718 * [taylor]: Taking taylor expansion of (log n) in k 16.718 * [taylor]: Taking taylor expansion of n in k 16.718 * [backup-simplify]: Simplify n into n 16.718 * [backup-simplify]: Simplify (log n) into (log n) 16.718 * [backup-simplify]: Simplify (- 0) into 0 16.719 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 16.720 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 16.721 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 16.722 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 16.723 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 16.724 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 16.725 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 16.726 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 16.727 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 16.728 * [backup-simplify]: Simplify (- 0) into 0 16.728 * [backup-simplify]: Simplify (+ 0 0) into 0 16.729 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 16.730 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 16.731 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 16.733 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 16.733 * [taylor]: Taking taylor expansion of 0 in k 16.733 * [backup-simplify]: Simplify 0 into 0 16.733 * [backup-simplify]: Simplify 0 into 0 16.734 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 16.735 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 16.735 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 16.736 * [backup-simplify]: Simplify (+ 0 0) into 0 16.736 * [backup-simplify]: Simplify (- 1) into -1 16.736 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.737 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 16.739 * [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)))) 16.741 * [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)))))) 16.742 * [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)))))) 16.743 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 16.744 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 16.746 * [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 16.746 * [backup-simplify]: Simplify (- 0) into 0 16.746 * [backup-simplify]: Simplify (+ 0 0) into 0 16.747 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 16.748 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 16.749 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 16.750 * [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 16.750 * [taylor]: Taking taylor expansion of 0 in k 16.750 * [backup-simplify]: Simplify 0 into 0 16.750 * [backup-simplify]: Simplify 0 into 0 16.750 * [backup-simplify]: Simplify 0 into 0 16.751 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 16.753 * [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 16.754 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 16.754 * [backup-simplify]: Simplify (+ 0 0) into 0 16.754 * [backup-simplify]: Simplify (- 0) into 0 16.755 * [backup-simplify]: Simplify (+ 0 0) into 0 16.756 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 16.757 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 16.760 * [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)))))) 16.763 * [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)))))) 16.774 * [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)))))) 16.775 * [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)))) 16.775 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 16.775 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 16.775 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 16.775 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 16.775 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 16.775 * [taylor]: Taking taylor expansion of 0.5 in k 16.775 * [backup-simplify]: Simplify 0.5 into 0.5 16.775 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 16.775 * [taylor]: Taking taylor expansion of 1.0 in k 16.775 * [backup-simplify]: Simplify 1.0 into 1.0 16.775 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.775 * [taylor]: Taking taylor expansion of k in k 16.775 * [backup-simplify]: Simplify 0 into 0 16.775 * [backup-simplify]: Simplify 1 into 1 16.776 * [backup-simplify]: Simplify (/ 1 1) into 1 16.776 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 16.776 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 16.776 * [taylor]: Taking taylor expansion of 2.0 in k 16.776 * [backup-simplify]: Simplify 2.0 into 2.0 16.776 * [taylor]: Taking taylor expansion of (/ PI n) in k 16.776 * [taylor]: Taking taylor expansion of PI in k 16.776 * [backup-simplify]: Simplify PI into PI 16.776 * [taylor]: Taking taylor expansion of n in k 16.776 * [backup-simplify]: Simplify n into n 16.776 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 16.776 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 16.776 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 16.776 * [backup-simplify]: Simplify (- 1) into -1 16.777 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.777 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 16.778 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 16.778 * [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))))) 16.778 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 16.778 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 16.778 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 16.778 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 16.778 * [taylor]: Taking taylor expansion of 0.5 in n 16.778 * [backup-simplify]: Simplify 0.5 into 0.5 16.778 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 16.778 * [taylor]: Taking taylor expansion of 1.0 in n 16.778 * [backup-simplify]: Simplify 1.0 into 1.0 16.778 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.778 * [taylor]: Taking taylor expansion of k in n 16.778 * [backup-simplify]: Simplify k into k 16.778 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.778 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 16.778 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 16.778 * [taylor]: Taking taylor expansion of 2.0 in n 16.778 * [backup-simplify]: Simplify 2.0 into 2.0 16.778 * [taylor]: Taking taylor expansion of (/ PI n) in n 16.778 * [taylor]: Taking taylor expansion of PI in n 16.778 * [backup-simplify]: Simplify PI into PI 16.778 * [taylor]: Taking taylor expansion of n in n 16.778 * [backup-simplify]: Simplify 0 into 0 16.779 * [backup-simplify]: Simplify 1 into 1 16.779 * [backup-simplify]: Simplify (/ PI 1) into PI 16.779 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.780 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.780 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 16.781 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 16.781 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 16.782 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 16.783 * [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)))) 16.785 * [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))))) 16.785 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 16.785 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 16.785 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 16.785 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 16.785 * [taylor]: Taking taylor expansion of 0.5 in n 16.785 * [backup-simplify]: Simplify 0.5 into 0.5 16.785 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 16.785 * [taylor]: Taking taylor expansion of 1.0 in n 16.785 * [backup-simplify]: Simplify 1.0 into 1.0 16.785 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.785 * [taylor]: Taking taylor expansion of k in n 16.785 * [backup-simplify]: Simplify k into k 16.785 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.785 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 16.785 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 16.785 * [taylor]: Taking taylor expansion of 2.0 in n 16.785 * [backup-simplify]: Simplify 2.0 into 2.0 16.785 * [taylor]: Taking taylor expansion of (/ PI n) in n 16.785 * [taylor]: Taking taylor expansion of PI in n 16.785 * [backup-simplify]: Simplify PI into PI 16.785 * [taylor]: Taking taylor expansion of n in n 16.785 * [backup-simplify]: Simplify 0 into 0 16.785 * [backup-simplify]: Simplify 1 into 1 16.786 * [backup-simplify]: Simplify (/ PI 1) into PI 16.786 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.787 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.788 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 16.788 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 16.788 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 16.789 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 16.791 * [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)))) 16.793 * [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))))) 16.793 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 16.793 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 16.793 * [taylor]: Taking taylor expansion of 0.5 in k 16.793 * [backup-simplify]: Simplify 0.5 into 0.5 16.793 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 16.793 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 16.793 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 16.793 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 16.793 * [taylor]: Taking taylor expansion of 2.0 in k 16.793 * [backup-simplify]: Simplify 2.0 into 2.0 16.793 * [taylor]: Taking taylor expansion of PI in k 16.793 * [backup-simplify]: Simplify PI into PI 16.794 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.795 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.795 * [taylor]: Taking taylor expansion of (log n) in k 16.795 * [taylor]: Taking taylor expansion of n in k 16.795 * [backup-simplify]: Simplify n into n 16.795 * [backup-simplify]: Simplify (log n) into (log n) 16.795 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 16.795 * [taylor]: Taking taylor expansion of 1.0 in k 16.795 * [backup-simplify]: Simplify 1.0 into 1.0 16.795 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.795 * [taylor]: Taking taylor expansion of k in k 16.795 * [backup-simplify]: Simplify 0 into 0 16.795 * [backup-simplify]: Simplify 1 into 1 16.795 * [backup-simplify]: Simplify (/ 1 1) into 1 16.796 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 16.797 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 16.797 * [backup-simplify]: Simplify (- 1) into -1 16.797 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.799 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 16.800 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 16.801 * [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))))) 16.802 * [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))))) 16.804 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 16.804 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 16.806 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 16.807 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 16.807 * [backup-simplify]: Simplify (- 0) into 0 16.808 * [backup-simplify]: Simplify (+ 0 0) into 0 16.808 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 16.810 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 16.811 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 16.813 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 16.813 * [taylor]: Taking taylor expansion of 0 in k 16.813 * [backup-simplify]: Simplify 0 into 0 16.813 * [backup-simplify]: Simplify 0 into 0 16.813 * [backup-simplify]: Simplify 0 into 0 16.815 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.816 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 16.820 * [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 16.820 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 16.821 * [backup-simplify]: Simplify (- 0) into 0 16.821 * [backup-simplify]: Simplify (+ 0 0) into 0 16.822 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 16.824 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 16.825 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 16.827 * [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 16.827 * [taylor]: Taking taylor expansion of 0 in k 16.828 * [backup-simplify]: Simplify 0 into 0 16.828 * [backup-simplify]: Simplify 0 into 0 16.828 * [backup-simplify]: Simplify 0 into 0 16.828 * [backup-simplify]: Simplify 0 into 0 16.829 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.829 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 16.841 * [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 16.842 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 16.842 * [backup-simplify]: Simplify (- 0) into 0 16.843 * [backup-simplify]: Simplify (+ 0 0) into 0 16.843 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 16.844 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 16.846 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 16.847 * [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 16.847 * [taylor]: Taking taylor expansion of 0 in k 16.847 * [backup-simplify]: Simplify 0 into 0 16.847 * [backup-simplify]: Simplify 0 into 0 16.848 * [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)))) 16.849 * [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))) 16.849 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 16.849 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 16.849 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 16.849 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 16.849 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 16.849 * [taylor]: Taking taylor expansion of 0.5 in k 16.849 * [backup-simplify]: Simplify 0.5 into 0.5 16.849 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 16.849 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.849 * [taylor]: Taking taylor expansion of k in k 16.849 * [backup-simplify]: Simplify 0 into 0 16.849 * [backup-simplify]: Simplify 1 into 1 16.849 * [backup-simplify]: Simplify (/ 1 1) into 1 16.849 * [taylor]: Taking taylor expansion of 1.0 in k 16.849 * [backup-simplify]: Simplify 1.0 into 1.0 16.849 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 16.849 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 16.849 * [taylor]: Taking taylor expansion of -2.0 in k 16.849 * [backup-simplify]: Simplify -2.0 into -2.0 16.849 * [taylor]: Taking taylor expansion of (/ PI n) in k 16.849 * [taylor]: Taking taylor expansion of PI in k 16.849 * [backup-simplify]: Simplify PI into PI 16.849 * [taylor]: Taking taylor expansion of n in k 16.849 * [backup-simplify]: Simplify n into n 16.850 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 16.850 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 16.850 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 16.850 * [backup-simplify]: Simplify (+ 1 0) into 1 16.850 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 16.850 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 16.850 * [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)))))) 16.850 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 16.851 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 16.851 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 16.851 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 16.851 * [taylor]: Taking taylor expansion of 0.5 in n 16.851 * [backup-simplify]: Simplify 0.5 into 0.5 16.851 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 16.851 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.851 * [taylor]: Taking taylor expansion of k in n 16.851 * [backup-simplify]: Simplify k into k 16.851 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.851 * [taylor]: Taking taylor expansion of 1.0 in n 16.851 * [backup-simplify]: Simplify 1.0 into 1.0 16.851 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 16.851 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 16.851 * [taylor]: Taking taylor expansion of -2.0 in n 16.851 * [backup-simplify]: Simplify -2.0 into -2.0 16.851 * [taylor]: Taking taylor expansion of (/ PI n) in n 16.851 * [taylor]: Taking taylor expansion of PI in n 16.851 * [backup-simplify]: Simplify PI into PI 16.851 * [taylor]: Taking taylor expansion of n in n 16.851 * [backup-simplify]: Simplify 0 into 0 16.851 * [backup-simplify]: Simplify 1 into 1 16.851 * [backup-simplify]: Simplify (/ PI 1) into PI 16.852 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 16.852 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 16.852 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 16.852 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 16.853 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 16.854 * [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)))) 16.855 * [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))))) 16.855 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 16.855 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 16.855 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 16.855 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 16.855 * [taylor]: Taking taylor expansion of 0.5 in n 16.855 * [backup-simplify]: Simplify 0.5 into 0.5 16.855 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 16.855 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.855 * [taylor]: Taking taylor expansion of k in n 16.855 * [backup-simplify]: Simplify k into k 16.855 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.855 * [taylor]: Taking taylor expansion of 1.0 in n 16.856 * [backup-simplify]: Simplify 1.0 into 1.0 16.856 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 16.856 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 16.856 * [taylor]: Taking taylor expansion of -2.0 in n 16.856 * [backup-simplify]: Simplify -2.0 into -2.0 16.856 * [taylor]: Taking taylor expansion of (/ PI n) in n 16.856 * [taylor]: Taking taylor expansion of PI in n 16.856 * [backup-simplify]: Simplify PI into PI 16.856 * [taylor]: Taking taylor expansion of n in n 16.856 * [backup-simplify]: Simplify 0 into 0 16.856 * [backup-simplify]: Simplify 1 into 1 16.856 * [backup-simplify]: Simplify (/ PI 1) into PI 16.857 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 16.858 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 16.858 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 16.858 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 16.859 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 16.860 * [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)))) 16.862 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 16.862 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 16.862 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 16.862 * [taylor]: Taking taylor expansion of 0.5 in k 16.862 * [backup-simplify]: Simplify 0.5 into 0.5 16.862 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 16.862 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 16.862 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.862 * [taylor]: Taking taylor expansion of k in k 16.862 * [backup-simplify]: Simplify 0 into 0 16.862 * [backup-simplify]: Simplify 1 into 1 16.862 * [backup-simplify]: Simplify (/ 1 1) into 1 16.862 * [taylor]: Taking taylor expansion of 1.0 in k 16.862 * [backup-simplify]: Simplify 1.0 into 1.0 16.862 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 16.862 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 16.862 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 16.862 * [taylor]: Taking taylor expansion of -2.0 in k 16.863 * [backup-simplify]: Simplify -2.0 into -2.0 16.863 * [taylor]: Taking taylor expansion of PI in k 16.863 * [backup-simplify]: Simplify PI into PI 16.863 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 16.864 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 16.864 * [taylor]: Taking taylor expansion of (log n) in k 16.864 * [taylor]: Taking taylor expansion of n in k 16.864 * [backup-simplify]: Simplify n into n 16.864 * [backup-simplify]: Simplify (log n) into (log n) 16.864 * [backup-simplify]: Simplify (+ 1 0) into 1 16.865 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 16.866 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 16.867 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 16.868 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 16.869 * [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))))) 16.870 * [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))))) 16.871 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 16.871 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 16.873 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 16.873 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 16.873 * [backup-simplify]: Simplify (+ 0 0) into 0 16.874 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 16.875 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 16.876 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 16.879 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 16.879 * [taylor]: Taking taylor expansion of 0 in k 16.879 * [backup-simplify]: Simplify 0 into 0 16.879 * [backup-simplify]: Simplify 0 into 0 16.879 * [backup-simplify]: Simplify 0 into 0 16.880 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.881 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 16.884 * [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 16.884 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 16.884 * [backup-simplify]: Simplify (+ 0 0) into 0 16.885 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 16.887 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 16.889 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 16.891 * [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 16.892 * [taylor]: Taking taylor expansion of 0 in k 16.892 * [backup-simplify]: Simplify 0 into 0 16.892 * [backup-simplify]: Simplify 0 into 0 16.892 * [backup-simplify]: Simplify 0 into 0 16.892 * [backup-simplify]: Simplify 0 into 0 16.893 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.894 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 16.899 * [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 16.900 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 16.900 * [backup-simplify]: Simplify (+ 0 0) into 0 16.901 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 16.902 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 16.904 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 16.907 * [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 16.907 * [taylor]: Taking taylor expansion of 0 in k 16.907 * [backup-simplify]: Simplify 0 into 0 16.907 * [backup-simplify]: Simplify 0 into 0 16.908 * [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)))))) 16.908 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 16.908 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 16.908 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 16.908 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 16.908 * [taylor]: Taking taylor expansion of 1.0 in k 16.908 * [backup-simplify]: Simplify 1.0 into 1.0 16.908 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 16.908 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.908 * [taylor]: Taking taylor expansion of k in k 16.908 * [backup-simplify]: Simplify 0 into 0 16.908 * [backup-simplify]: Simplify 1 into 1 16.909 * [backup-simplify]: Simplify (/ 1 1) into 1 16.909 * [backup-simplify]: Simplify (sqrt 0) into 0 16.910 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 16.910 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 16.910 * [taylor]: Taking taylor expansion of 1.0 in k 16.910 * [backup-simplify]: Simplify 1.0 into 1.0 16.910 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 16.910 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.910 * [taylor]: Taking taylor expansion of k in k 16.910 * [backup-simplify]: Simplify 0 into 0 16.910 * [backup-simplify]: Simplify 1 into 1 16.911 * [backup-simplify]: Simplify (/ 1 1) into 1 16.911 * [backup-simplify]: Simplify (sqrt 0) into 0 16.912 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 16.913 * [backup-simplify]: Simplify (* 1.0 0) into 0 16.913 * [backup-simplify]: Simplify 0 into 0 16.914 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 16.914 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 16.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.918 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 16.919 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 16.919 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 16.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.922 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 16.923 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 16.924 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 16.924 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 16.925 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 16.925 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 16.925 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 16.925 * [taylor]: Taking taylor expansion of 1.0 in k 16.925 * [backup-simplify]: Simplify 1.0 into 1.0 16.925 * [taylor]: Taking taylor expansion of (sqrt k) in k 16.925 * [taylor]: Taking taylor expansion of k in k 16.925 * [backup-simplify]: Simplify 0 into 0 16.925 * [backup-simplify]: Simplify 1 into 1 16.925 * [backup-simplify]: Simplify (sqrt 0) into 0 16.926 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 16.926 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 16.926 * [taylor]: Taking taylor expansion of 1.0 in k 16.926 * [backup-simplify]: Simplify 1.0 into 1.0 16.926 * [taylor]: Taking taylor expansion of (sqrt k) in k 16.926 * [taylor]: Taking taylor expansion of k in k 16.926 * [backup-simplify]: Simplify 0 into 0 16.926 * [backup-simplify]: Simplify 1 into 1 16.926 * [backup-simplify]: Simplify (sqrt 0) into 0 16.927 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 16.927 * [backup-simplify]: Simplify (* 1.0 0) into 0 16.927 * [backup-simplify]: Simplify 0 into 0 16.928 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 16.928 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 16.930 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 16.931 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 16.932 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 16.934 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 16.935 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 16.935 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 16.936 * [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)))))))) 16.936 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 16.936 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 16.937 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 16.937 * [taylor]: Taking taylor expansion of 1.0 in k 16.937 * [backup-simplify]: Simplify 1.0 into 1.0 16.937 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 16.937 * [taylor]: Taking taylor expansion of (/ -1 k) in k 16.937 * [taylor]: Taking taylor expansion of -1 in k 16.937 * [backup-simplify]: Simplify -1 into -1 16.937 * [taylor]: Taking taylor expansion of k in k 16.937 * [backup-simplify]: Simplify 0 into 0 16.937 * [backup-simplify]: Simplify 1 into 1 16.937 * [backup-simplify]: Simplify (/ -1 1) into -1 16.937 * [backup-simplify]: Simplify (sqrt 0) into 0 16.938 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 16.938 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 16.938 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 16.938 * [taylor]: Taking taylor expansion of 1.0 in k 16.939 * [backup-simplify]: Simplify 1.0 into 1.0 16.939 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 16.939 * [taylor]: Taking taylor expansion of (/ -1 k) in k 16.939 * [taylor]: Taking taylor expansion of -1 in k 16.939 * [backup-simplify]: Simplify -1 into -1 16.939 * [taylor]: Taking taylor expansion of k in k 16.939 * [backup-simplify]: Simplify 0 into 0 16.939 * [backup-simplify]: Simplify 1 into 1 16.939 * [backup-simplify]: Simplify (/ -1 1) into -1 16.939 * [backup-simplify]: Simplify (sqrt 0) into 0 16.940 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 16.940 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 16.940 * [backup-simplify]: Simplify +nan.0 into +nan.0 16.941 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 16.943 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 16.944 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 16.944 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 16.945 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.947 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 16.950 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 16.950 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 16.951 * [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))))) 16.951 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 16.951 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 16.951 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 16.951 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 16.951 * [taylor]: Taking taylor expansion of 1.0 in k 16.951 * [backup-simplify]: Simplify 1.0 into 1.0 16.951 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 16.951 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.951 * [taylor]: Taking taylor expansion of k in k 16.951 * [backup-simplify]: Simplify 0 into 0 16.951 * [backup-simplify]: Simplify 1 into 1 16.951 * [backup-simplify]: Simplify (/ 1 1) into 1 16.958 * [backup-simplify]: Simplify (sqrt 0) into 0 16.960 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 16.960 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 16.960 * [taylor]: Taking taylor expansion of 1.0 in k 16.960 * [backup-simplify]: Simplify 1.0 into 1.0 16.961 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 16.961 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.961 * [taylor]: Taking taylor expansion of k in k 16.961 * [backup-simplify]: Simplify 0 into 0 16.961 * [backup-simplify]: Simplify 1 into 1 16.961 * [backup-simplify]: Simplify (/ 1 1) into 1 16.962 * [backup-simplify]: Simplify (sqrt 0) into 0 16.963 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 16.964 * [backup-simplify]: Simplify (* 1.0 0) into 0 16.964 * [backup-simplify]: Simplify 0 into 0 16.965 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 16.966 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 16.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.970 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 16.972 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 16.972 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 16.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.977 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 16.980 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 16.980 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 16.981 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 16.982 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 16.982 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 16.982 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 16.982 * [taylor]: Taking taylor expansion of 1.0 in k 16.982 * [backup-simplify]: Simplify 1.0 into 1.0 16.982 * [taylor]: Taking taylor expansion of (sqrt k) in k 16.982 * [taylor]: Taking taylor expansion of k in k 16.982 * [backup-simplify]: Simplify 0 into 0 16.982 * [backup-simplify]: Simplify 1 into 1 16.982 * [backup-simplify]: Simplify (sqrt 0) into 0 16.984 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 16.984 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 16.984 * [taylor]: Taking taylor expansion of 1.0 in k 16.984 * [backup-simplify]: Simplify 1.0 into 1.0 16.984 * [taylor]: Taking taylor expansion of (sqrt k) in k 16.984 * [taylor]: Taking taylor expansion of k in k 16.984 * [backup-simplify]: Simplify 0 into 0 16.984 * [backup-simplify]: Simplify 1 into 1 16.984 * [backup-simplify]: Simplify (sqrt 0) into 0 16.985 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 16.986 * [backup-simplify]: Simplify (* 1.0 0) into 0 16.986 * [backup-simplify]: Simplify 0 into 0 16.987 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 16.988 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 16.991 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 16.993 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 16.994 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 16.998 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 17.000 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 17.000 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 17.002 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 k) 3)) (+ (* (- +nan.0) (pow (/ 1 k) 2)) (* (- +nan.0) (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 17.002 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 17.002 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 17.002 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 17.002 * [taylor]: Taking taylor expansion of 1.0 in k 17.002 * [backup-simplify]: Simplify 1.0 into 1.0 17.002 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 17.002 * [taylor]: Taking taylor expansion of (/ -1 k) in k 17.002 * [taylor]: Taking taylor expansion of -1 in k 17.002 * [backup-simplify]: Simplify -1 into -1 17.002 * [taylor]: Taking taylor expansion of k in k 17.002 * [backup-simplify]: Simplify 0 into 0 17.003 * [backup-simplify]: Simplify 1 into 1 17.003 * [backup-simplify]: Simplify (/ -1 1) into -1 17.003 * [backup-simplify]: Simplify (sqrt 0) into 0 17.005 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 17.005 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 17.005 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 17.005 * [taylor]: Taking taylor expansion of 1.0 in k 17.005 * [backup-simplify]: Simplify 1.0 into 1.0 17.005 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 17.005 * [taylor]: Taking taylor expansion of (/ -1 k) in k 17.006 * [taylor]: Taking taylor expansion of -1 in k 17.006 * [backup-simplify]: Simplify -1 into -1 17.006 * [taylor]: Taking taylor expansion of k in k 17.006 * [backup-simplify]: Simplify 0 into 0 17.006 * [backup-simplify]: Simplify 1 into 1 17.006 * [backup-simplify]: Simplify (/ -1 1) into -1 17.006 * [backup-simplify]: Simplify (sqrt 0) into 0 17.008 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 17.008 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 17.008 * [backup-simplify]: Simplify +nan.0 into +nan.0 17.009 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 17.013 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 17.015 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 17.016 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 17.017 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.021 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 17.026 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 17.026 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 17.027 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 17.027 * * * [progress]: simplifying candidates 17.032 * [simplify]: Simplifying: (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (+ (+ (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)) (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (+ (+ (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)) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (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) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (- (+ (* +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))))) 17.040 * * [simplify]: Extracting # 0 : cost 0 17.040 * * [simplify]: Extracting # 1 : cost 0 17.040 * * [simplify]: Extracting # 2 : cost 0 17.041 * * [simplify]: Extracting # 3 : cost 0 17.041 * * [simplify]: Extracting # 4 : cost 0 17.042 * * [simplify]: Extracting # 5 : cost 0 17.042 * * [simplify]: Extracting # 6 : cost 0 17.043 * * [simplify]: Extracting # 7 : cost 0 17.043 * * [simplify]: Extracting # 8 : cost 0 17.044 * * [simplify]: Extracting # 9 : cost 0 17.044 * * [simplify]: Extracting # 10 : cost 0 17.045 * * [simplify]: Extracting # 11 : cost 0 17.045 * * [simplify]: Extracting # 12 : cost 0 17.046 * * [simplify]: iteration 0 : 212 enodes (cost 2208 ) 17.147 * * [simplify]: Extracting # 0 : cost 0 17.147 * * [simplify]: Extracting # 1 : cost 0 17.148 * * [simplify]: Extracting # 2 : cost 0 17.149 * * [simplify]: Extracting # 3 : cost 0 17.149 * * [simplify]: Extracting # 4 : cost 0 17.150 * * [simplify]: Extracting # 5 : cost 0 17.151 * * [simplify]: iteration 1 : 494 enodes (cost 2028 ) 17.412 * * [simplify]: Extracting # 0 : cost 0 17.414 * * [simplify]: Extracting # 1 : cost 0 17.416 * * [simplify]: Extracting # 2 : cost 0 17.418 * * [simplify]: Extracting # 3 : cost 0 17.421 * * [simplify]: Extracting # 4 : cost 0 17.424 * * [simplify]: iteration 2 : 1361 enodes (cost 1920 ) 18.185 * * [simplify]: Extracting # 0 : cost 0 18.191 * * [simplify]: Extracting # 1 : cost 0 18.197 * * [simplify]: Extracting # 2 : cost 0 18.208 * * [simplify]: Extracting # 3 : cost 0 18.222 * * [simplify]: Extracting # 4 : cost 0 18.236 * * [simplify]: Extracting # 5 : cost 0 18.249 * * [simplify]: iteration done: 5000 enodes (cost 1880 ) 18.250 * [simplify]: Simplified to: (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (sqrt (- 1.0 k))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 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 (* (* 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)) (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (sqrt (- 1.0 k))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 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 (* (* 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)) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (pow 1.0 3) (* k (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt k))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (pow 1.0 3) (* k (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt k))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (fma (* 0.125 (pow k 2)) (* (pow (* (* 2.0 PI) n) 0.5) (+ (pow (log (* 2.0 PI)) 2) (pow (log n) 2))) (- (fma (* (* (pow (* (* 2.0 PI) n) 0.5) (log n)) (* (pow k 2) (log (* 2.0 PI)))) 0.25 (pow (* (* 2.0 PI) n) 0.5)) (* (* 0.5 k) (* (pow (* (* 2.0 PI) n) 0.5) (log (* (* 2.0 PI) n)))))) (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (fma (* 0.125 (pow k 2)) (* (pow (* (* 2.0 PI) n) 0.5) (+ (pow (log (* 2.0 PI)) 2) (pow (log n) 2))) (- (fma (* (* (pow (* (* 2.0 PI) n) 0.5) (log n)) (* (pow k 2) (log (* 2.0 PI)))) 0.25 (pow (* (* 2.0 PI) n) 0.5)) (* (* 0.5 k) (* (pow (* (* 2.0 PI) n) 0.5) (log (* (* 2.0 PI) n)))))) (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* +nan.0 (- k (* k k))) +nan.0)) (- (- (/ +nan.0 (pow k 2)) (- (/ +nan.0 k) (/ +nan.0 (pow k 3))))) (+ (/ (- +nan.0) (pow k 2)) (- (/ +nan.0 k) +nan.0)) (- (+ (* +nan.0 (- k (* k k))) +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)) 18.251 * * * [progress]: adding candidates to table 19.122 * [progress]: [Phase 3 of 3] Extracting. 19.123 * * [regime]: Finding splitpoints for: (# # # # # # # #) 19.128 * * * [regime-changes]: Trying 4 branch expressions: ((* (* 2.0 PI) n) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) n k) 19.128 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # #) 19.182 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # #) 19.227 * * * * [regimes]: Trying to branch on (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) from (# # # # # # # #) 19.316 * * * * [regimes]: Trying to branch on n from (# # # # # # # #) 19.392 * * * * [regimes]: Trying to branch on k from (# # # # # # # #) 19.461 * * * [regime]: Found split indices: #