16.925 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.100 * * * [progress]: [2/2] Setting up program. 0.104 * [progress]: [Phase 2 of 3] Improving. 0.104 * [simplify]: Simplifying: (- (log (+ N 1.0)) (log N)) 0.104 * * [simplify]: iteration 0: 6 enodes 0.105 * * [simplify]: iteration 1: 9 enodes 0.106 * * [simplify]: iteration 2: 10 enodes 0.107 * * [simplify]: iteration complete: 10 enodes 0.107 * * [simplify]: Extracting #0: cost 1 inf + 0 0.107 * * [simplify]: Extracting #1: cost 4 inf + 0 0.107 * * [simplify]: Extracting #2: cost 6 inf + 0 0.107 * * [simplify]: Extracting #3: cost 6 inf + 1 0.107 * * [simplify]: Extracting #4: cost 0 inf + 21 0.108 * [simplify]: Simplified to: (- (log (+ 1.0 N)) (log N)) 0.113 * * [progress]: iteration 1 / 4 0.113 * * * [progress]: picking best candidate 0.117 * * * * [pick]: Picked # 0.117 * * * [progress]: localizing error 0.129 * * * [progress]: generating rewritten candidates 0.129 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.135 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.146 * * * [progress]: generating series expansions 0.146 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.146 * [backup-simplify]: Simplify (log (+ 1.0 N)) into (log (+ N 1.0)) 0.146 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.146 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.146 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.146 * [taylor]: Taking taylor expansion of N in N 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 1 into 1 0.147 * [taylor]: Taking taylor expansion of 1.0 in N 0.147 * [backup-simplify]: Simplify 1.0 into 1.0 0.147 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.147 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.147 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.147 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.147 * [taylor]: Taking taylor expansion of N in N 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 1 into 1 0.147 * [taylor]: Taking taylor expansion of 1.0 in N 0.147 * [backup-simplify]: Simplify 1.0 into 1.0 0.148 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.148 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.148 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.149 * [backup-simplify]: Simplify (+ 1 0) into 1 0.152 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.152 * [backup-simplify]: Simplify 1.0 into 1.0 0.153 * [backup-simplify]: Simplify (+ 0 0) into 0 0.158 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 0.159 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.160 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (log 1.0))) into (- (+ (log 1.0) (* 1.0 N)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) 0.160 * [backup-simplify]: Simplify (log (+ 1.0 (/ 1 N))) into (log (+ (/ 1 N) 1.0)) 0.160 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.160 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.160 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.160 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.160 * [taylor]: Taking taylor expansion of N in N 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify 1 into 1 0.160 * [backup-simplify]: Simplify (/ 1 1) into 1 0.160 * [taylor]: Taking taylor expansion of 1.0 in N 0.160 * [backup-simplify]: Simplify 1.0 into 1.0 0.161 * [backup-simplify]: Simplify (+ 1 0) into 1 0.161 * [backup-simplify]: Simplify (log 1) into 0 0.161 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.161 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.161 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.161 * [taylor]: Taking taylor expansion of N in N 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 1 into 1 0.161 * [backup-simplify]: Simplify (/ 1 1) into 1 0.161 * [taylor]: Taking taylor expansion of 1.0 in N 0.161 * [backup-simplify]: Simplify 1.0 into 1.0 0.162 * [backup-simplify]: Simplify (+ 1 0) into 1 0.162 * [backup-simplify]: Simplify (log 1) into 0 0.162 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.162 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.164 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.170 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.170 * [backup-simplify]: Simplify 1.0 into 1.0 0.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.171 * [backup-simplify]: Simplify (+ 0 0) into 0 0.195 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 0.195 * [backup-simplify]: Simplify -0.5 into -0.5 0.195 * [backup-simplify]: Simplify (+ (* -0.5 (pow (/ 1 N) 2)) (+ (* 1.0 (/ 1 N)) (- (log (/ 1 N))))) into (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) 0.195 * [backup-simplify]: Simplify (log (+ 1.0 (/ 1 (- N)))) into (log (- 1.0 (/ 1 N))) 0.195 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.195 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.195 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.196 * [taylor]: Taking taylor expansion of 1.0 in N 0.196 * [backup-simplify]: Simplify 1.0 into 1.0 0.196 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.196 * [taylor]: Taking taylor expansion of N in N 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 1 into 1 0.196 * [backup-simplify]: Simplify (/ 1 1) into 1 0.196 * [backup-simplify]: Simplify (- 1) into -1 0.196 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.197 * [backup-simplify]: Simplify (log -1) into (log -1) 0.197 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.197 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.197 * [taylor]: Taking taylor expansion of 1.0 in N 0.197 * [backup-simplify]: Simplify 1.0 into 1.0 0.197 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.197 * [taylor]: Taking taylor expansion of N in N 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 1 into 1 0.197 * [backup-simplify]: Simplify (/ 1 1) into 1 0.197 * [backup-simplify]: Simplify (- 1) into -1 0.197 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.198 * [backup-simplify]: Simplify (log -1) into (log -1) 0.198 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.199 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.199 * [backup-simplify]: Simplify (- 0) into 0 0.200 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.203 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.203 * [backup-simplify]: Simplify -1.0 into -1.0 0.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.204 * [backup-simplify]: Simplify (- 0) into 0 0.204 * [backup-simplify]: Simplify (+ 0 0) into 0 0.210 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 0.211 * [backup-simplify]: Simplify -0.5 into -0.5 0.211 * [backup-simplify]: Simplify (+ (* -0.5 (pow (/ 1 (- N)) 2)) (+ (* -1.0 (/ 1 (- N))) (- (log -1) (log (/ 1 (- N)))))) into (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) 0.211 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.211 * [backup-simplify]: Simplify (- (log (+ 1.0 N)) (log N)) into (- (log (+ N 1.0)) (log N)) 0.211 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.211 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.211 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.211 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.211 * [taylor]: Taking taylor expansion of N in N 0.211 * [backup-simplify]: Simplify 0 into 0 0.211 * [backup-simplify]: Simplify 1 into 1 0.211 * [taylor]: Taking taylor expansion of 1.0 in N 0.211 * [backup-simplify]: Simplify 1.0 into 1.0 0.212 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.212 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.212 * [taylor]: Taking taylor expansion of (log N) in N 0.212 * [taylor]: Taking taylor expansion of N in N 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify 1 into 1 0.212 * [backup-simplify]: Simplify (log 1) into 0 0.212 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.212 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.212 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.212 * [taylor]: Taking taylor expansion of N in N 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify 1 into 1 0.212 * [taylor]: Taking taylor expansion of 1.0 in N 0.212 * [backup-simplify]: Simplify 1.0 into 1.0 0.213 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.213 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.213 * [taylor]: Taking taylor expansion of (log N) in N 0.213 * [taylor]: Taking taylor expansion of N in N 0.213 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify 1 into 1 0.213 * [backup-simplify]: Simplify (log 1) into 0 0.214 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.214 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.214 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 0.214 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.214 * [backup-simplify]: Simplify (+ 1 0) into 1 0.217 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.218 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.218 * [backup-simplify]: Simplify (- 0) into 0 0.219 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.219 * [backup-simplify]: Simplify 1.0 into 1.0 0.219 * [backup-simplify]: Simplify (+ 0 0) into 0 0.225 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 0.226 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.227 * [backup-simplify]: Simplify (- 0) into 0 0.228 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.231 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.234 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (pow 1.0 2)))) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (log 1.0) (* 1.0 N)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 0.234 * [backup-simplify]: Simplify (- (log (+ 1.0 (/ 1 N))) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 0.235 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.235 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.235 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.235 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.235 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.235 * [taylor]: Taking taylor expansion of N in N 0.235 * [backup-simplify]: Simplify 0 into 0 0.235 * [backup-simplify]: Simplify 1 into 1 0.235 * [backup-simplify]: Simplify (/ 1 1) into 1 0.235 * [taylor]: Taking taylor expansion of 1.0 in N 0.235 * [backup-simplify]: Simplify 1.0 into 1.0 0.236 * [backup-simplify]: Simplify (+ 1 0) into 1 0.236 * [backup-simplify]: Simplify (log 1) into 0 0.236 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.236 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.236 * [taylor]: Taking taylor expansion of N in N 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify 1 into 1 0.237 * [backup-simplify]: Simplify (/ 1 1) into 1 0.237 * [backup-simplify]: Simplify (log 1) into 0 0.237 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.237 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.237 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.237 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.237 * [taylor]: Taking taylor expansion of N in N 0.237 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify 1 into 1 0.237 * [backup-simplify]: Simplify (/ 1 1) into 1 0.237 * [taylor]: Taking taylor expansion of 1.0 in N 0.237 * [backup-simplify]: Simplify 1.0 into 1.0 0.238 * [backup-simplify]: Simplify (+ 1 0) into 1 0.238 * [backup-simplify]: Simplify (log 1) into 0 0.238 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.238 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.238 * [taylor]: Taking taylor expansion of N in N 0.238 * [backup-simplify]: Simplify 0 into 0 0.238 * [backup-simplify]: Simplify 1 into 1 0.239 * [backup-simplify]: Simplify (/ 1 1) into 1 0.239 * [backup-simplify]: Simplify (log 1) into 0 0.240 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.240 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.240 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.240 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.241 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.242 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.248 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.250 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.251 * [backup-simplify]: Simplify (- 0) into 0 0.251 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.251 * [backup-simplify]: Simplify 1.0 into 1.0 0.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.252 * [backup-simplify]: Simplify (+ 0 0) into 0 0.263 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 0.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.267 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.268 * [backup-simplify]: Simplify (- 0) into 0 0.268 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.268 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.270 * [backup-simplify]: Simplify (+ 0 0) into 0 0.288 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 0.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.294 * [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 0.295 * [backup-simplify]: Simplify (- 0) into 0 0.296 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.296 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.297 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.297 * [backup-simplify]: Simplify (- (log (+ 1.0 (/ 1 (- N)))) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 0.297 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.297 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.297 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.297 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.297 * [taylor]: Taking taylor expansion of 1.0 in N 0.297 * [backup-simplify]: Simplify 1.0 into 1.0 0.297 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.297 * [taylor]: Taking taylor expansion of N in N 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify 1 into 1 0.298 * [backup-simplify]: Simplify (/ 1 1) into 1 0.298 * [backup-simplify]: Simplify (- 1) into -1 0.298 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.299 * [backup-simplify]: Simplify (log -1) into (log -1) 0.299 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.299 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.299 * [taylor]: Taking taylor expansion of -1 in N 0.299 * [backup-simplify]: Simplify -1 into -1 0.299 * [taylor]: Taking taylor expansion of N in N 0.299 * [backup-simplify]: Simplify 0 into 0 0.299 * [backup-simplify]: Simplify 1 into 1 0.299 * [backup-simplify]: Simplify (/ -1 1) into -1 0.300 * [backup-simplify]: Simplify (log -1) into (log -1) 0.300 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.300 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.300 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.300 * [taylor]: Taking taylor expansion of 1.0 in N 0.300 * [backup-simplify]: Simplify 1.0 into 1.0 0.300 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.300 * [taylor]: Taking taylor expansion of N in N 0.300 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify 1 into 1 0.300 * [backup-simplify]: Simplify (/ 1 1) into 1 0.301 * [backup-simplify]: Simplify (- 1) into -1 0.301 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.302 * [backup-simplify]: Simplify (log -1) into (log -1) 0.302 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.302 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.302 * [taylor]: Taking taylor expansion of -1 in N 0.302 * [backup-simplify]: Simplify -1 into -1 0.302 * [taylor]: Taking taylor expansion of N in N 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify 1 into 1 0.302 * [backup-simplify]: Simplify (/ -1 1) into -1 0.303 * [backup-simplify]: Simplify (log -1) into (log -1) 0.303 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.304 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.304 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.305 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.305 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.305 * [backup-simplify]: Simplify (- 0) into 0 0.306 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.314 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.314 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.315 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.315 * [backup-simplify]: Simplify (- 0) into 0 0.316 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 0.316 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.317 * [backup-simplify]: Simplify (- 0) into 0 0.317 * [backup-simplify]: Simplify (+ 0 0) into 0 0.323 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 0.324 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.325 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.325 * [backup-simplify]: Simplify (- 0) into 0 0.326 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.326 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.327 * [backup-simplify]: Simplify (- 0) into 0 0.327 * [backup-simplify]: Simplify (+ 0 0) into 0 0.337 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -0.3333333333333333 0.337 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.342 * [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 0.343 * [backup-simplify]: Simplify (- 0) into 0 0.343 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 0.344 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.345 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 (- N)) 3)) (+ (* (- 0.5) (pow (/ 1 (- N)) 2)) (* (- 1.0) (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.346 * * * [progress]: simplifying candidates 0.347 * [simplify]: Simplifying: (log (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (log (cbrt (+ 1.0 N))) (log (sqrt (+ 1.0 N))) (log (sqrt (+ 1.0 N))) (log 1) (log (+ 1.0 N)) (log 1) (log (+ 1.0 N)) (log (+ (pow 1.0 3) (pow N 3))) (log (+ (* 1.0 1.0) (- (* N N) (* 1.0 N)))) (log (- (* 1.0 1.0) (* N N))) (log (- 1.0 N)) (log (+ 1.0 N)) (log (log (+ 1.0 N))) (exp (log (+ 1.0 N))) (* (cbrt (log (+ 1.0 N))) (cbrt (log (+ 1.0 N)))) (cbrt (log (+ 1.0 N))) (* (* (log (+ 1.0 N)) (log (+ 1.0 N))) (log (+ 1.0 N))) (sqrt (log (+ 1.0 N))) (sqrt (log (+ 1.0 N))) (/ (+ 1.0 N) N) (log (- (log (+ 1.0 N)) (log N))) (exp (- (log (+ 1.0 N)) (log N))) (* (cbrt (- (log (+ 1.0 N)) (log N))) (cbrt (- (log (+ 1.0 N)) (log N)))) (cbrt (- (log (+ 1.0 N)) (log N))) (* (* (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N))) (- (log (+ 1.0 N)) (log N))) (sqrt (- (log (+ 1.0 N)) (log N))) (sqrt (- (log (+ 1.0 N)) (log N))) (- (pow (log (+ 1.0 N)) 3) (pow (log N) 3)) (+ (* (log (+ 1.0 N)) (log (+ 1.0 N))) (+ (* (log N) (log N)) (* (log (+ 1.0 N)) (log N)))) (- (log N)) (- (* (log (+ 1.0 N)) (log (+ 1.0 N))) (* (log N) (log N))) (+ (log (+ 1.0 N)) (log N)) (+ (sqrt (log (+ 1.0 N))) (sqrt (log N))) (- (sqrt (log (+ 1.0 N))) (sqrt (log N))) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log (* (cbrt N) (cbrt N)))) (- (log (+ 1.0 N)) (log (sqrt N))) (- (log (+ 1.0 N)) (log 1)) (- (log (cbrt (+ 1.0 N))) (log N)) (- (log (sqrt (+ 1.0 N))) (log N)) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N)) (+ (log (+ (* 1.0 1.0) (- (* N N) (* 1.0 N)))) (log N)) (+ (log (- 1.0 N)) (log N)) (- (log N)) (- (+ (log 1.0) (* 1.0 N)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ (log 1.0) (* 1.0 N)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.348 * * [simplify]: iteration 0: 100 enodes 0.384 * * [simplify]: iteration 1: 213 enodes 0.467 * * [simplify]: iteration 2: 637 enodes 0.914 * * [simplify]: iteration 3: 2683 enodes 1.720 * * [simplify]: iteration complete: 5000 enodes 1.720 * * [simplify]: Extracting #0: cost 39 inf + 0 1.721 * * [simplify]: Extracting #1: cost 227 inf + 1 1.734 * * [simplify]: Extracting #2: cost 1213 inf + 92 1.743 * * [simplify]: Extracting #3: cost 1098 inf + 2783 1.752 * * [simplify]: Extracting #4: cost 283 inf + 7412 1.761 * * [simplify]: Extracting #5: cost 88 inf + 8781 1.767 * * [simplify]: Extracting #6: cost 47 inf + 9078 1.772 * * [simplify]: Extracting #7: cost 5 inf + 9255 1.778 * * [simplify]: Extracting #8: cost 0 inf + 9280 1.784 * [simplify]: Simplified to: (* (log (cbrt (+ N 1.0))) 2) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (+ (pow 1.0 3) (pow N 3))) (log (- (pow N 2) (* 1.0 (- N 1.0)))) (log (* (+ 1.0 N) (- 1.0 N))) (log (- 1.0 N)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (/ (+ N 1.0) N) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (pow (- (log (+ N 1.0)) (log N)) 3) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log (+ N 1.0)) (+ (log (+ N 1.0)) (log N))) (* (log N) (log N))) (- (log N)) (* (+ (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log N)) (sqrt (log (+ N 1.0)))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ N 1.0)) (* -2 (log (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (log (+ N 1.0)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log N) (log (- (pow N 2) (* 1.0 (- N 1.0))))) (+ (log N) (log (- 1.0 N))) (- (log N)) (+ (+ (log 1.0) (* 1.0 N)) (* (* -1/2 (/ N 1.0)) (/ N 1.0))) (- (+ (/ 1.0 N) (log N)) (/ 0.5 (* N N))) (- (+ (/ 1.0 N) (log N)) (/ 0.5 (* N N))) (+ (log 1.0) (+ (- (* 1.0 N) (log N)) (* (* -1/2 (/ N 1.0)) (/ N 1.0)))) (+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))) (+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))) 1.784 * * * [progress]: adding candidates to table 2.044 * * [progress]: iteration 2 / 4 2.044 * * * [progress]: picking best candidate 2.065 * * * * [pick]: Picked # 2.065 * * * [progress]: localizing error 2.077 * * * [progress]: generating rewritten candidates 2.077 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.082 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 2.101 * * * [progress]: generating series expansions 2.101 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.102 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 2.102 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 2.102 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.102 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.102 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.102 * [taylor]: Taking taylor expansion of N in N 2.102 * [backup-simplify]: Simplify 0 into 0 2.102 * [backup-simplify]: Simplify 1 into 1 2.102 * [taylor]: Taking taylor expansion of 1.0 in N 2.102 * [backup-simplify]: Simplify 1.0 into 1.0 2.102 * [taylor]: Taking taylor expansion of N in N 2.102 * [backup-simplify]: Simplify 0 into 0 2.102 * [backup-simplify]: Simplify 1 into 1 2.103 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.103 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.104 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.104 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.104 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.104 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.104 * [taylor]: Taking taylor expansion of N in N 2.104 * [backup-simplify]: Simplify 0 into 0 2.104 * [backup-simplify]: Simplify 1 into 1 2.104 * [taylor]: Taking taylor expansion of 1.0 in N 2.104 * [backup-simplify]: Simplify 1.0 into 1.0 2.104 * [taylor]: Taking taylor expansion of N in N 2.104 * [backup-simplify]: Simplify 0 into 0 2.104 * [backup-simplify]: Simplify 1 into 1 2.104 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.105 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.105 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.106 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 2.107 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 2.107 * [backup-simplify]: Simplify (+ 1 0) into 1 2.108 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 2.113 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 2.113 * [backup-simplify]: Simplify 1.0 into 1.0 2.114 * [backup-simplify]: Simplify (+ 0 0) into 0 2.115 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.122 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 2.123 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 2.124 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (log 1.0) (* 1.0 N)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 2.124 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 2.124 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 2.124 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.124 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.124 * [taylor]: Taking taylor expansion of N in N 2.124 * [backup-simplify]: Simplify 0 into 0 2.124 * [backup-simplify]: Simplify 1 into 1 2.124 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.124 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.124 * [taylor]: Taking taylor expansion of N in N 2.124 * [backup-simplify]: Simplify 0 into 0 2.124 * [backup-simplify]: Simplify 1 into 1 2.124 * [backup-simplify]: Simplify (/ 1 1) into 1 2.124 * [taylor]: Taking taylor expansion of 1.0 in N 2.124 * [backup-simplify]: Simplify 1.0 into 1.0 2.125 * [backup-simplify]: Simplify (+ 1 0) into 1 2.125 * [backup-simplify]: Simplify (* 0 1) into 0 2.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.126 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.126 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 2.126 * [backup-simplify]: Simplify (log 1) into 0 2.126 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.126 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.126 * [taylor]: Taking taylor expansion of N in N 2.126 * [backup-simplify]: Simplify 0 into 0 2.126 * [backup-simplify]: Simplify 1 into 1 2.127 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.127 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.127 * [taylor]: Taking taylor expansion of N in N 2.127 * [backup-simplify]: Simplify 0 into 0 2.127 * [backup-simplify]: Simplify 1 into 1 2.127 * [backup-simplify]: Simplify (/ 1 1) into 1 2.127 * [taylor]: Taking taylor expansion of 1.0 in N 2.127 * [backup-simplify]: Simplify 1.0 into 1.0 2.127 * [backup-simplify]: Simplify (+ 1 0) into 1 2.127 * [backup-simplify]: Simplify (* 0 1) into 0 2.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.128 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.128 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 2.129 * [backup-simplify]: Simplify (log 1) into 0 2.129 * [backup-simplify]: Simplify 0 into 0 2.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.130 * [backup-simplify]: Simplify (+ 0 0) into 0 2.131 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 2.135 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 2.135 * [backup-simplify]: Simplify 1.0 into 1.0 2.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.136 * [backup-simplify]: Simplify (+ 0 0) into 0 2.137 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 2.145 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 2.145 * [backup-simplify]: Simplify -0.5 into -0.5 2.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.145 * [backup-simplify]: Simplify (+ 0 0) into 0 2.146 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 2.156 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 2.156 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.156 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* -0.5 (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 2.156 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 2.156 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 2.156 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 2.157 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.157 * [taylor]: Taking taylor expansion of -1 in N 2.157 * [backup-simplify]: Simplify -1 into -1 2.157 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.157 * [taylor]: Taking taylor expansion of N in N 2.157 * [backup-simplify]: Simplify 0 into 0 2.157 * [backup-simplify]: Simplify 1 into 1 2.157 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.157 * [taylor]: Taking taylor expansion of 1.0 in N 2.157 * [backup-simplify]: Simplify 1.0 into 1.0 2.157 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.157 * [taylor]: Taking taylor expansion of N in N 2.157 * [backup-simplify]: Simplify 0 into 0 2.157 * [backup-simplify]: Simplify 1 into 1 2.157 * [backup-simplify]: Simplify (/ 1 1) into 1 2.157 * [backup-simplify]: Simplify (- 1) into -1 2.158 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.158 * [backup-simplify]: Simplify (* 0 -1) into 0 2.158 * [backup-simplify]: Simplify (* -1 0) into 0 2.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.159 * [backup-simplify]: Simplify (- 0) into 0 2.159 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.159 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 2.160 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 2.160 * [backup-simplify]: Simplify (log 1) into 0 2.160 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 2.160 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.160 * [taylor]: Taking taylor expansion of -1 in N 2.160 * [backup-simplify]: Simplify -1 into -1 2.160 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.160 * [taylor]: Taking taylor expansion of N in N 2.160 * [backup-simplify]: Simplify 0 into 0 2.160 * [backup-simplify]: Simplify 1 into 1 2.160 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.160 * [taylor]: Taking taylor expansion of 1.0 in N 2.160 * [backup-simplify]: Simplify 1.0 into 1.0 2.160 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.160 * [taylor]: Taking taylor expansion of N in N 2.160 * [backup-simplify]: Simplify 0 into 0 2.160 * [backup-simplify]: Simplify 1 into 1 2.161 * [backup-simplify]: Simplify (/ 1 1) into 1 2.161 * [backup-simplify]: Simplify (- 1) into -1 2.161 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.161 * [backup-simplify]: Simplify (* 0 -1) into 0 2.162 * [backup-simplify]: Simplify (* -1 0) into 0 2.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.162 * [backup-simplify]: Simplify (- 0) into 0 2.163 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.163 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 2.163 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 2.164 * [backup-simplify]: Simplify (log 1) into 0 2.164 * [backup-simplify]: Simplify 0 into 0 2.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.164 * [backup-simplify]: Simplify (- 0) into 0 2.165 * [backup-simplify]: Simplify (+ 0 0) into 0 2.167 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 2.168 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 2.174 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 2.174 * [backup-simplify]: Simplify -1.0 into -1.0 2.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.175 * [backup-simplify]: Simplify (- 0) into 0 2.176 * [backup-simplify]: Simplify (+ 0 0) into 0 2.177 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 2.179 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 2.191 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 1.0)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 2.191 * [backup-simplify]: Simplify -0.5 into -0.5 2.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.192 * [backup-simplify]: Simplify (- 0) into 0 2.193 * [backup-simplify]: Simplify (+ 0 0) into 0 2.194 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 2.196 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 2.221 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- 1.0)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (- 1.0)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -0.3333333333333333 2.221 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 2.222 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) (+ (* -0.5 (pow (/ 1 (- N)) 2)) (* -1.0 (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 2.222 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 2.222 * [backup-simplify]: Simplify (/ (+ N 1.0) N) into (/ (+ N 1.0) N) 2.222 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 2.222 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.222 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.222 * [taylor]: Taking taylor expansion of N in N 2.222 * [backup-simplify]: Simplify 0 into 0 2.222 * [backup-simplify]: Simplify 1 into 1 2.222 * [taylor]: Taking taylor expansion of 1.0 in N 2.222 * [backup-simplify]: Simplify 1.0 into 1.0 2.222 * [taylor]: Taking taylor expansion of N in N 2.222 * [backup-simplify]: Simplify 0 into 0 2.222 * [backup-simplify]: Simplify 1 into 1 2.223 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.223 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.223 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.223 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.223 * [taylor]: Taking taylor expansion of N in N 2.223 * [backup-simplify]: Simplify 0 into 0 2.223 * [backup-simplify]: Simplify 1 into 1 2.223 * [taylor]: Taking taylor expansion of 1.0 in N 2.223 * [backup-simplify]: Simplify 1.0 into 1.0 2.223 * [taylor]: Taking taylor expansion of N in N 2.223 * [backup-simplify]: Simplify 0 into 0 2.223 * [backup-simplify]: Simplify 1 into 1 2.224 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.224 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.224 * [backup-simplify]: Simplify 1.0 into 1.0 2.224 * [backup-simplify]: Simplify (+ 1 0) into 1 2.225 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 2.225 * [backup-simplify]: Simplify 1 into 1 2.225 * [backup-simplify]: Simplify (+ 0 0) into 0 2.226 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.226 * [backup-simplify]: Simplify 0 into 0 2.226 * [backup-simplify]: Simplify (+ 0 0) into 0 2.227 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.227 * [backup-simplify]: Simplify 0 into 0 2.227 * [backup-simplify]: Simplify (+ 0 0) into 0 2.228 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.228 * [backup-simplify]: Simplify 0 into 0 2.228 * [backup-simplify]: Simplify (+ 0 0) into 0 2.229 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.229 * [backup-simplify]: Simplify 0 into 0 2.229 * [backup-simplify]: Simplify (+ 0 0) into 0 2.230 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.230 * [backup-simplify]: Simplify 0 into 0 2.230 * [backup-simplify]: Simplify (+ 0 0) into 0 2.231 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.231 * [backup-simplify]: Simplify 0 into 0 2.231 * [backup-simplify]: Simplify (+ 1 (* 1.0 (/ 1 N))) into (+ (* 1.0 (/ 1 N)) 1) 2.231 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1.0) (/ 1 N)) into (* N (+ (/ 1 N) 1.0)) 2.231 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 2.231 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.231 * [taylor]: Taking taylor expansion of N in N 2.231 * [backup-simplify]: Simplify 0 into 0 2.231 * [backup-simplify]: Simplify 1 into 1 2.231 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.231 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.231 * [taylor]: Taking taylor expansion of N in N 2.231 * [backup-simplify]: Simplify 0 into 0 2.231 * [backup-simplify]: Simplify 1 into 1 2.231 * [backup-simplify]: Simplify (/ 1 1) into 1 2.231 * [taylor]: Taking taylor expansion of 1.0 in N 2.231 * [backup-simplify]: Simplify 1.0 into 1.0 2.231 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.231 * [taylor]: Taking taylor expansion of N in N 2.231 * [backup-simplify]: Simplify 0 into 0 2.231 * [backup-simplify]: Simplify 1 into 1 2.231 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.232 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.232 * [taylor]: Taking taylor expansion of N in N 2.232 * [backup-simplify]: Simplify 0 into 0 2.232 * [backup-simplify]: Simplify 1 into 1 2.232 * [backup-simplify]: Simplify (/ 1 1) into 1 2.232 * [taylor]: Taking taylor expansion of 1.0 in N 2.232 * [backup-simplify]: Simplify 1.0 into 1.0 2.232 * [backup-simplify]: Simplify (+ 1 0) into 1 2.232 * [backup-simplify]: Simplify (* 0 1) into 0 2.232 * [backup-simplify]: Simplify 0 into 0 2.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.233 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.234 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 2.234 * [backup-simplify]: Simplify 1 into 1 2.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.235 * [backup-simplify]: Simplify (+ 0 0) into 0 2.236 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 2.236 * [backup-simplify]: Simplify 1.0 into 1.0 2.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.237 * [backup-simplify]: Simplify (+ 0 0) into 0 2.238 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 2.238 * [backup-simplify]: Simplify 0 into 0 2.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.239 * [backup-simplify]: Simplify (+ 0 0) into 0 2.240 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 2.240 * [backup-simplify]: Simplify 0 into 0 2.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.241 * [backup-simplify]: Simplify (+ 0 0) into 0 2.242 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))) into 0 2.242 * [backup-simplify]: Simplify 0 into 0 2.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.243 * [backup-simplify]: Simplify (+ 0 0) into 0 2.244 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))) into 0 2.244 * [backup-simplify]: Simplify 0 into 0 2.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.245 * [backup-simplify]: Simplify (+ 0 0) into 0 2.246 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))))) into 0 2.246 * [backup-simplify]: Simplify 0 into 0 2.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.247 * [backup-simplify]: Simplify (+ 0 0) into 0 2.248 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))))) into 0 2.248 * [backup-simplify]: Simplify 0 into 0 2.248 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) 1) into (+ (* 1.0 (/ 1 N)) 1) 2.248 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (* N (- 1.0 (/ 1 N)))) 2.248 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 2.248 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.249 * [taylor]: Taking taylor expansion of -1 in N 2.249 * [backup-simplify]: Simplify -1 into -1 2.249 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.249 * [taylor]: Taking taylor expansion of N in N 2.249 * [backup-simplify]: Simplify 0 into 0 2.249 * [backup-simplify]: Simplify 1 into 1 2.249 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.249 * [taylor]: Taking taylor expansion of 1.0 in N 2.249 * [backup-simplify]: Simplify 1.0 into 1.0 2.249 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.249 * [taylor]: Taking taylor expansion of N in N 2.249 * [backup-simplify]: Simplify 0 into 0 2.249 * [backup-simplify]: Simplify 1 into 1 2.249 * [backup-simplify]: Simplify (/ 1 1) into 1 2.249 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.249 * [taylor]: Taking taylor expansion of -1 in N 2.250 * [backup-simplify]: Simplify -1 into -1 2.250 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.250 * [taylor]: Taking taylor expansion of N in N 2.250 * [backup-simplify]: Simplify 0 into 0 2.250 * [backup-simplify]: Simplify 1 into 1 2.250 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.250 * [taylor]: Taking taylor expansion of 1.0 in N 2.250 * [backup-simplify]: Simplify 1.0 into 1.0 2.250 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.250 * [taylor]: Taking taylor expansion of N in N 2.250 * [backup-simplify]: Simplify 0 into 0 2.250 * [backup-simplify]: Simplify 1 into 1 2.250 * [backup-simplify]: Simplify (/ 1 1) into 1 2.250 * [backup-simplify]: Simplify (- 1) into -1 2.251 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.251 * [backup-simplify]: Simplify (* 0 -1) into 0 2.251 * [backup-simplify]: Simplify (* -1 0) into 0 2.251 * [backup-simplify]: Simplify 0 into 0 2.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.252 * [backup-simplify]: Simplify (- 0) into 0 2.252 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.253 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 2.253 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 2.253 * [backup-simplify]: Simplify 1 into 1 2.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.254 * [backup-simplify]: Simplify (- 0) into 0 2.255 * [backup-simplify]: Simplify (+ 0 0) into 0 2.256 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 2.258 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 2.258 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.259 * [backup-simplify]: Simplify (- 0) into 0 2.259 * [backup-simplify]: Simplify (+ 0 0) into 0 2.260 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 2.260 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 2.260 * [backup-simplify]: Simplify 0 into 0 2.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.261 * [backup-simplify]: Simplify (- 0) into 0 2.261 * [backup-simplify]: Simplify (+ 0 0) into 0 2.262 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 2.263 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 2.263 * [backup-simplify]: Simplify 0 into 0 2.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.264 * [backup-simplify]: Simplify (- 0) into 0 2.264 * [backup-simplify]: Simplify (+ 0 0) into 0 2.265 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 2.266 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))) into 0 2.266 * [backup-simplify]: Simplify 0 into 0 2.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.267 * [backup-simplify]: Simplify (- 0) into 0 2.267 * [backup-simplify]: Simplify (+ 0 0) into 0 2.268 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 2.269 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))) into 0 2.269 * [backup-simplify]: Simplify 0 into 0 2.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.270 * [backup-simplify]: Simplify (- 0) into 0 2.270 * [backup-simplify]: Simplify (+ 0 0) into 0 2.272 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 2.274 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))))) into 0 2.274 * [backup-simplify]: Simplify 0 into 0 2.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.276 * [backup-simplify]: Simplify (- 0) into 0 2.276 * [backup-simplify]: Simplify (+ 0 0) into 0 2.279 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))))) into 0 2.281 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))))) into 0 2.281 * [backup-simplify]: Simplify 0 into 0 2.282 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (- N))) 1) into (+ (* 1.0 (/ 1 N)) 1) 2.282 * * * [progress]: simplifying candidates 2.283 * [simplify]: Simplifying: (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1)) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log 1) (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (exp (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (- (log (+ N 1.0)) (log N)) (log (/ (+ N 1.0) N)) (exp (/ (+ N 1.0) N)) (/ (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* (* N N) N)) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (* (* (/ (+ N 1.0) N) (/ (+ N 1.0) N)) (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (- (+ N 1.0)) (- N) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)) (/ (cbrt (+ N 1.0)) (sqrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) 1) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (/ (+ N 1.0) 1) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (* N (- N 1.0)) (- (+ (log 1.0) (* 1.0 N)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 2.284 * * [simplify]: iteration 0: 108 enodes 2.305 * * [simplify]: iteration 1: 243 enodes 2.803 * * [simplify]: iteration 2: 1007 enodes 3.089 * * [simplify]: iteration complete: 5000 enodes 3.089 * * [simplify]: Extracting #0: cost 63 inf + 0 3.090 * * [simplify]: Extracting #1: cost 545 inf + 2 3.094 * * [simplify]: Extracting #2: cost 1691 inf + 76 3.113 * * [simplify]: Extracting #3: cost 2395 inf + 1684 3.128 * * [simplify]: Extracting #4: cost 591 inf + 13943 3.135 * * [simplify]: Extracting #5: cost 15 inf + 18919 3.143 * * [simplify]: Extracting #6: cost 0 inf + 18958 3.152 * * [simplify]: Extracting #7: cost 0 inf + 18952 3.159 * [simplify]: Simplified to: (* 2 (log (cbrt (/ (+ 1.0 N) N)))) (log (cbrt (/ (+ 1.0 N) N))) (log (sqrt (/ (+ 1.0 N) N))) (log (sqrt (/ (+ 1.0 N) N))) (* 2 (log (/ (cbrt (+ 1.0 N)) (cbrt N)))) (log (/ (cbrt (+ 1.0 N)) (cbrt N))) (- (* 2 (log (cbrt (+ 1.0 N)))) (log (sqrt N))) (log (/ (cbrt (+ 1.0 N)) (sqrt N))) (* 2 (log (cbrt (+ 1.0 N)))) (log (/ (cbrt (+ 1.0 N)) N)) (log (/ (sqrt (+ 1.0 N)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ 1.0 N)) (cbrt N))) (log (/ (sqrt (+ 1.0 N)) (sqrt N))) (log (/ (sqrt (+ 1.0 N)) (sqrt N))) (log (sqrt (+ 1.0 N))) (log (/ (sqrt (+ 1.0 N)) N)) (- (* 2 (log (cbrt N)))) (log (/ (+ 1.0 N) (cbrt N))) (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))) 0 (log (/ (+ 1.0 N) N)) (- (* 2 (log (cbrt N)))) (log (/ (+ 1.0 N) (cbrt N))) (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))) 0 (log (/ (+ 1.0 N) N)) 0 (log (/ (+ 1.0 N) N)) (log (+ 1.0 N)) (- (log N)) (log (+ 1.0 N)) (log N) (log (/ (+ 1.0 N) N)) (log (log (/ (+ 1.0 N) N))) (/ (+ 1.0 N) N) (* (cbrt (log (/ (+ 1.0 N) N))) (cbrt (log (/ (+ 1.0 N) N)))) (cbrt (log (/ (+ 1.0 N) N))) (pow (log (/ (+ 1.0 N) N)) 3) (sqrt (log (/ (+ 1.0 N) N))) (sqrt (log (/ (+ 1.0 N) N))) (log (/ (+ 1.0 N) N)) (log (/ (+ 1.0 N) N)) (exp (/ (+ 1.0 N) N)) (pow (/ (+ 1.0 N) N) 3) (* (cbrt (/ (+ 1.0 N) N)) (cbrt (/ (+ 1.0 N) N))) (cbrt (/ (+ 1.0 N) N)) (pow (/ (+ 1.0 N) N) 3) (sqrt (/ (+ 1.0 N) N)) (sqrt (/ (+ 1.0 N) N)) (- (+ 1.0 N)) (- N) (* (/ (cbrt (+ 1.0 N)) (* (cbrt N) (cbrt N))) (cbrt (+ 1.0 N))) (/ (cbrt (+ 1.0 N)) (cbrt N)) (/ (cbrt (+ 1.0 N)) (/ (sqrt N) (cbrt (+ 1.0 N)))) (/ (cbrt (+ 1.0 N)) (sqrt N)) (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (/ (cbrt (+ 1.0 N)) N) (/ (sqrt (+ 1.0 N)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1.0 N)) (cbrt N)) (/ (sqrt (+ 1.0 N)) (sqrt N)) (/ (sqrt (+ 1.0 N)) (sqrt N)) (sqrt (+ 1.0 N)) (/ (sqrt (+ 1.0 N)) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (+ 1.0 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1.0 N) (sqrt N)) 1 (/ (+ 1.0 N) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (+ 1.0 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1.0 N) (sqrt N)) 1 (/ (+ 1.0 N) N) (/ 1 N) (/ N (+ 1.0 N)) (/ (+ 1.0 N) (* (cbrt N) (cbrt N))) (/ (+ 1.0 N) (sqrt N)) (+ 1.0 N) (/ N (cbrt (+ 1.0 N))) (/ N (sqrt (+ 1.0 N))) (/ N (+ 1.0 N)) (/ N (+ 1.0 N)) (* N (+ (* N N) (* 1.0 (- 1.0 N)))) (* (- N 1.0) N) (- (+ (log 1.0) (- (* N 1.0) (log N))) (* (/ 1/2 1.0) (/ (pow N 2) 1.0))) (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ (/ 0.5 N) N))) (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ (/ 0.5 N) N))) (+ 1 (/ 1.0 N)) (+ 1 (/ 1.0 N)) (+ 1 (/ 1.0 N)) 3.159 * * * [progress]: adding candidates to table 3.428 * * [progress]: iteration 3 / 4 3.428 * * * [progress]: picking best candidate 3.452 * * * * [pick]: Picked # 3.452 * * * [progress]: localizing error 3.486 * * * [progress]: generating rewritten candidates 3.486 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 3.743 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 3.762 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 3.777 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 3.850 * * * [progress]: generating series expansions 3.850 * * * * [progress]: [ 1 / 4 ] generating series at (2) 3.850 * [backup-simplify]: Simplify (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ (/ 0.5 N) N))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 3.850 * [approximate]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in (N) around 0 3.850 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N 3.850 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 3.850 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 3.850 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.850 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.850 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 3.850 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.850 * [taylor]: Taking taylor expansion of N in N 3.850 * [backup-simplify]: Simplify 0 into 0 3.850 * [backup-simplify]: Simplify 1 into 1 3.851 * [backup-simplify]: Simplify (* 1 1) into 1 3.851 * [backup-simplify]: Simplify (* 1 1) into 1 3.851 * [backup-simplify]: Simplify (/ 1 1) into 1 3.851 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 3.851 * [taylor]: Taking taylor expansion of 1.0 in N 3.852 * [backup-simplify]: Simplify 1.0 into 1.0 3.852 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.852 * [taylor]: Taking taylor expansion of N in N 3.852 * [backup-simplify]: Simplify 0 into 0 3.852 * [backup-simplify]: Simplify 1 into 1 3.852 * [backup-simplify]: Simplify (/ 1 1) into 1 3.852 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 3.852 * [taylor]: Taking taylor expansion of 0.5 in N 3.852 * [backup-simplify]: Simplify 0.5 into 0.5 3.852 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.852 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.852 * [taylor]: Taking taylor expansion of N in N 3.852 * [backup-simplify]: Simplify 0 into 0 3.852 * [backup-simplify]: Simplify 1 into 1 3.852 * [backup-simplify]: Simplify (* 1 1) into 1 3.852 * [backup-simplify]: Simplify (/ 1 1) into 1 3.852 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N 3.852 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 3.853 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 3.853 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.853 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.853 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 3.853 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.853 * [taylor]: Taking taylor expansion of N in N 3.853 * [backup-simplify]: Simplify 0 into 0 3.853 * [backup-simplify]: Simplify 1 into 1 3.853 * [backup-simplify]: Simplify (* 1 1) into 1 3.853 * [backup-simplify]: Simplify (* 1 1) into 1 3.853 * [backup-simplify]: Simplify (/ 1 1) into 1 3.853 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 3.853 * [taylor]: Taking taylor expansion of 1.0 in N 3.853 * [backup-simplify]: Simplify 1.0 into 1.0 3.853 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.853 * [taylor]: Taking taylor expansion of N in N 3.853 * [backup-simplify]: Simplify 0 into 0 3.853 * [backup-simplify]: Simplify 1 into 1 3.854 * [backup-simplify]: Simplify (/ 1 1) into 1 3.854 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 3.854 * [taylor]: Taking taylor expansion of 0.5 in N 3.854 * [backup-simplify]: Simplify 0.5 into 0.5 3.854 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.854 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.854 * [taylor]: Taking taylor expansion of N in N 3.854 * [backup-simplify]: Simplify 0 into 0 3.854 * [backup-simplify]: Simplify 1 into 1 3.854 * [backup-simplify]: Simplify (* 1 1) into 1 3.854 * [backup-simplify]: Simplify (/ 1 1) into 1 3.855 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 3.855 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 3.855 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 3.855 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.856 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.856 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.859 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 3.860 * [backup-simplify]: Simplify (+ 0 0) into 0 3.860 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.860 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.861 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 3.861 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.861 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.862 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.864 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 3.865 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 3.865 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.866 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.868 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 3.868 * [backup-simplify]: Simplify (- 0) into 0 3.869 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.869 * [backup-simplify]: Simplify 1.0 into 1.0 3.870 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 0.3333333333333333 (pow (/ 1 N) 3)))) into (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) 3.870 * [backup-simplify]: Simplify (+ (/ 0.3333333333333333 (pow (/ 1 N) 3)) (- (/ 1.0 (/ 1 N)) (/ (/ 0.5 (/ 1 N)) (/ 1 N)))) into (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) 3.870 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in (N) around 0 3.870 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 3.870 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 3.870 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 3.870 * [taylor]: Taking taylor expansion of 1.0 in N 3.870 * [backup-simplify]: Simplify 1.0 into 1.0 3.871 * [taylor]: Taking taylor expansion of N in N 3.871 * [backup-simplify]: Simplify 0 into 0 3.871 * [backup-simplify]: Simplify 1 into 1 3.871 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.871 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.871 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.871 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.871 * [taylor]: Taking taylor expansion of N in N 3.871 * [backup-simplify]: Simplify 0 into 0 3.871 * [backup-simplify]: Simplify 1 into 1 3.871 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.871 * [taylor]: Taking taylor expansion of 0.5 in N 3.871 * [backup-simplify]: Simplify 0.5 into 0.5 3.871 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.871 * [taylor]: Taking taylor expansion of N in N 3.871 * [backup-simplify]: Simplify 0 into 0 3.871 * [backup-simplify]: Simplify 1 into 1 3.871 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 3.871 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 3.871 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 3.871 * [taylor]: Taking taylor expansion of 1.0 in N 3.871 * [backup-simplify]: Simplify 1.0 into 1.0 3.871 * [taylor]: Taking taylor expansion of N in N 3.871 * [backup-simplify]: Simplify 0 into 0 3.871 * [backup-simplify]: Simplify 1 into 1 3.871 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.871 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.871 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.871 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.871 * [taylor]: Taking taylor expansion of N in N 3.871 * [backup-simplify]: Simplify 0 into 0 3.871 * [backup-simplify]: Simplify 1 into 1 3.871 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.871 * [taylor]: Taking taylor expansion of 0.5 in N 3.871 * [backup-simplify]: Simplify 0.5 into 0.5 3.871 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.871 * [taylor]: Taking taylor expansion of N in N 3.871 * [backup-simplify]: Simplify 0 into 0 3.871 * [backup-simplify]: Simplify 1 into 1 3.872 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.873 * [backup-simplify]: Simplify (+ 0 0) into 0 3.873 * [backup-simplify]: Simplify (+ 0 0) into 0 3.873 * [backup-simplify]: Simplify 0 into 0 3.874 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 3.875 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.875 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.875 * [backup-simplify]: Simplify 1.0 into 1.0 3.876 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 3.877 * [backup-simplify]: Simplify (+ 0 0) into 0 3.877 * [backup-simplify]: Simplify (* 1 1) into 1 3.878 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.878 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.879 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 3.879 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.880 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.881 * [backup-simplify]: Simplify (* 1 1) into 1 3.881 * [backup-simplify]: Simplify (* 1 1) into 1 3.881 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 3.882 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 3.883 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.883 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 3.884 * [backup-simplify]: Simplify (- 0) into 0 3.884 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 3.884 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.885 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 3.886 * [backup-simplify]: Simplify (+ (/ 0.3333333333333333 (pow (/ 1 (- N)) 3)) (- (/ 1.0 (/ 1 (- N))) (/ (/ 0.5 (/ 1 (- N))) (/ 1 (- N))))) into (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) 3.886 * [approximate]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in (N) around 0 3.886 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 3.886 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 3.886 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.886 * [taylor]: Taking taylor expansion of 0.5 in N 3.886 * [backup-simplify]: Simplify 0.5 into 0.5 3.886 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.886 * [taylor]: Taking taylor expansion of N in N 3.886 * [backup-simplify]: Simplify 0 into 0 3.886 * [backup-simplify]: Simplify 1 into 1 3.886 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 3.886 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 3.886 * [taylor]: Taking taylor expansion of 1.0 in N 3.886 * [backup-simplify]: Simplify 1.0 into 1.0 3.886 * [taylor]: Taking taylor expansion of N in N 3.887 * [backup-simplify]: Simplify 0 into 0 3.887 * [backup-simplify]: Simplify 1 into 1 3.887 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.887 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.887 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.887 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.887 * [taylor]: Taking taylor expansion of N in N 3.887 * [backup-simplify]: Simplify 0 into 0 3.887 * [backup-simplify]: Simplify 1 into 1 3.887 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 3.887 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 3.887 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.887 * [taylor]: Taking taylor expansion of 0.5 in N 3.887 * [backup-simplify]: Simplify 0.5 into 0.5 3.887 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.887 * [taylor]: Taking taylor expansion of N in N 3.887 * [backup-simplify]: Simplify 0 into 0 3.887 * [backup-simplify]: Simplify 1 into 1 3.887 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 3.887 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 3.887 * [taylor]: Taking taylor expansion of 1.0 in N 3.887 * [backup-simplify]: Simplify 1.0 into 1.0 3.887 * [taylor]: Taking taylor expansion of N in N 3.887 * [backup-simplify]: Simplify 0 into 0 3.887 * [backup-simplify]: Simplify 1 into 1 3.887 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.887 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.887 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.887 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.887 * [taylor]: Taking taylor expansion of N in N 3.887 * [backup-simplify]: Simplify 0 into 0 3.887 * [backup-simplify]: Simplify 1 into 1 3.888 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.888 * [backup-simplify]: Simplify (+ 0 0) into 0 3.889 * [backup-simplify]: Simplify (+ 0 0) into 0 3.889 * [backup-simplify]: Simplify (- 0) into 0 3.889 * [backup-simplify]: Simplify 0 into 0 3.891 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 3.891 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.892 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.892 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.892 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.893 * [backup-simplify]: Simplify (* 1 1) into 1 3.893 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.894 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 3.894 * [backup-simplify]: Simplify (+ 0 0) into 0 3.895 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 3.895 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.895 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.896 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.896 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 3.897 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.897 * [backup-simplify]: Simplify (* 1 1) into 1 3.897 * [backup-simplify]: Simplify (* 1 1) into 1 3.897 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 3.898 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 3.898 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 3.898 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 3.898 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 3.900 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 (- N)) 3)) (+ (* (- 0.5) (pow (/ 1 (- N)) 2)) (* (- 1.0) (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 3.900 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 3.900 * [backup-simplify]: Simplify (/ (/ 0.5 N) N) into (/ 0.5 (pow N 2)) 3.900 * [approximate]: Taking taylor expansion of (/ 0.5 (pow N 2)) in (N) around 0 3.900 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 3.900 * [taylor]: Taking taylor expansion of 0.5 in N 3.900 * [backup-simplify]: Simplify 0.5 into 0.5 3.900 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.900 * [taylor]: Taking taylor expansion of N in N 3.900 * [backup-simplify]: Simplify 0 into 0 3.900 * [backup-simplify]: Simplify 1 into 1 3.900 * [backup-simplify]: Simplify (* 1 1) into 1 3.900 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 3.900 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 3.900 * [taylor]: Taking taylor expansion of 0.5 in N 3.900 * [backup-simplify]: Simplify 0.5 into 0.5 3.900 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.900 * [taylor]: Taking taylor expansion of N in N 3.901 * [backup-simplify]: Simplify 0 into 0 3.901 * [backup-simplify]: Simplify 1 into 1 3.901 * [backup-simplify]: Simplify (* 1 1) into 1 3.901 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 3.901 * [backup-simplify]: Simplify 0.5 into 0.5 3.901 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.902 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0 3.902 * [backup-simplify]: Simplify 0 into 0 3.903 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.903 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.903 * [backup-simplify]: Simplify 0 into 0 3.904 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.904 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.904 * [backup-simplify]: Simplify 0 into 0 3.905 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.906 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.906 * [backup-simplify]: Simplify 0 into 0 3.906 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.907 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.907 * [backup-simplify]: Simplify 0 into 0 3.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.908 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.908 * [backup-simplify]: Simplify 0 into 0 3.909 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 N) 2)) into (/ 0.5 (pow N 2)) 3.909 * [backup-simplify]: Simplify (/ (/ 0.5 (/ 1 N)) (/ 1 N)) into (* 0.5 (pow N 2)) 3.909 * [approximate]: Taking taylor expansion of (* 0.5 (pow N 2)) in (N) around 0 3.909 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.909 * [taylor]: Taking taylor expansion of 0.5 in N 3.909 * [backup-simplify]: Simplify 0.5 into 0.5 3.909 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.909 * [taylor]: Taking taylor expansion of N in N 3.909 * [backup-simplify]: Simplify 0 into 0 3.909 * [backup-simplify]: Simplify 1 into 1 3.909 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.909 * [taylor]: Taking taylor expansion of 0.5 in N 3.909 * [backup-simplify]: Simplify 0.5 into 0.5 3.909 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.909 * [taylor]: Taking taylor expansion of N in N 3.909 * [backup-simplify]: Simplify 0 into 0 3.909 * [backup-simplify]: Simplify 1 into 1 3.909 * [backup-simplify]: Simplify (* 1 1) into 1 3.910 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.910 * [backup-simplify]: Simplify 0.5 into 0.5 3.910 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.910 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 3.910 * [backup-simplify]: Simplify 0 into 0 3.911 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.912 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 3.912 * [backup-simplify]: Simplify 0 into 0 3.912 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.913 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.913 * [backup-simplify]: Simplify 0 into 0 3.914 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.914 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.914 * [backup-simplify]: Simplify 0 into 0 3.915 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.916 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.916 * [backup-simplify]: Simplify 0 into 0 3.917 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.918 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.918 * [backup-simplify]: Simplify 0 into 0 3.918 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 N) 2)) into (/ 0.5 (pow N 2)) 3.918 * [backup-simplify]: Simplify (/ (/ 0.5 (/ 1 (- N))) (/ 1 (- N))) into (* 0.5 (pow N 2)) 3.918 * [approximate]: Taking taylor expansion of (* 0.5 (pow N 2)) in (N) around 0 3.918 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.918 * [taylor]: Taking taylor expansion of 0.5 in N 3.918 * [backup-simplify]: Simplify 0.5 into 0.5 3.918 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.918 * [taylor]: Taking taylor expansion of N in N 3.918 * [backup-simplify]: Simplify 0 into 0 3.918 * [backup-simplify]: Simplify 1 into 1 3.918 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.918 * [taylor]: Taking taylor expansion of 0.5 in N 3.918 * [backup-simplify]: Simplify 0.5 into 0.5 3.918 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.918 * [taylor]: Taking taylor expansion of N in N 3.918 * [backup-simplify]: Simplify 0 into 0 3.918 * [backup-simplify]: Simplify 1 into 1 3.919 * [backup-simplify]: Simplify (* 1 1) into 1 3.919 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.919 * [backup-simplify]: Simplify 0.5 into 0.5 3.919 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.920 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 3.920 * [backup-simplify]: Simplify 0 into 0 3.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.921 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 3.921 * [backup-simplify]: Simplify 0 into 0 3.921 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.922 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.922 * [backup-simplify]: Simplify 0 into 0 3.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.924 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.924 * [backup-simplify]: Simplify 0 into 0 3.925 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.925 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.925 * [backup-simplify]: Simplify 0 into 0 3.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.928 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.928 * [backup-simplify]: Simplify 0 into 0 3.928 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 (- N)) 2)) into (/ 0.5 (pow N 2)) 3.928 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 3.929 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow N 3)) into (/ 0.3333333333333333 (pow N 3)) 3.929 * [approximate]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in (N) around 0 3.929 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 3.929 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.929 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.929 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.929 * [taylor]: Taking taylor expansion of N in N 3.929 * [backup-simplify]: Simplify 0 into 0 3.929 * [backup-simplify]: Simplify 1 into 1 3.929 * [backup-simplify]: Simplify (* 1 1) into 1 3.930 * [backup-simplify]: Simplify (* 1 1) into 1 3.930 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 3.930 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 3.930 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.930 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.930 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.930 * [taylor]: Taking taylor expansion of N in N 3.930 * [backup-simplify]: Simplify 0 into 0 3.930 * [backup-simplify]: Simplify 1 into 1 3.931 * [backup-simplify]: Simplify (* 1 1) into 1 3.931 * [backup-simplify]: Simplify (* 1 1) into 1 3.932 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 3.932 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.932 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.933 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.934 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)))) into 0 3.934 * [backup-simplify]: Simplify 0 into 0 3.935 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.936 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.937 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.937 * [backup-simplify]: Simplify 0 into 0 3.938 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.939 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.940 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.940 * [backup-simplify]: Simplify 0 into 0 3.942 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.943 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.944 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.944 * [backup-simplify]: Simplify 0 into 0 3.946 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.947 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.948 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.948 * [backup-simplify]: Simplify 0 into 0 3.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.952 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.953 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.953 * [backup-simplify]: Simplify 0 into 0 3.953 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 3.953 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow (/ 1 N) 3)) into (* 0.3333333333333333 (pow N 3)) 3.953 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in (N) around 0 3.953 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.953 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.953 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.953 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.954 * [taylor]: Taking taylor expansion of N in N 3.954 * [backup-simplify]: Simplify 0 into 0 3.954 * [backup-simplify]: Simplify 1 into 1 3.954 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.954 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.954 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.954 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.954 * [taylor]: Taking taylor expansion of N in N 3.954 * [backup-simplify]: Simplify 0 into 0 3.954 * [backup-simplify]: Simplify 1 into 1 3.954 * [backup-simplify]: Simplify (* 1 1) into 1 3.955 * [backup-simplify]: Simplify (* 1 1) into 1 3.955 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 3.955 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.956 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.957 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.957 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 3.957 * [backup-simplify]: Simplify 0 into 0 3.958 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.959 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.960 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 3.960 * [backup-simplify]: Simplify 0 into 0 3.961 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.962 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.964 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.964 * [backup-simplify]: Simplify 0 into 0 3.965 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.966 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.968 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.968 * [backup-simplify]: Simplify 0 into 0 3.969 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.971 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.972 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.972 * [backup-simplify]: Simplify 0 into 0 3.974 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.977 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.977 * [backup-simplify]: Simplify 0 into 0 3.978 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 3.978 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow (/ 1 (- N)) 3)) into (* -0.3333333333333333 (pow N 3)) 3.978 * [approximate]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in (N) around 0 3.978 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 3.978 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 3.978 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 3.978 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.978 * [taylor]: Taking taylor expansion of N in N 3.978 * [backup-simplify]: Simplify 0 into 0 3.978 * [backup-simplify]: Simplify 1 into 1 3.978 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 3.978 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 3.978 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 3.978 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.978 * [taylor]: Taking taylor expansion of N in N 3.978 * [backup-simplify]: Simplify 0 into 0 3.978 * [backup-simplify]: Simplify 1 into 1 3.979 * [backup-simplify]: Simplify (* 1 1) into 1 3.979 * [backup-simplify]: Simplify (* 1 1) into 1 3.980 * [backup-simplify]: Simplify (* -0.3333333333333333 1) into -0.3333333333333333 3.980 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 3.981 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.981 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.982 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (* 0 1)) into 0 3.982 * [backup-simplify]: Simplify 0 into 0 3.983 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.984 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.985 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 3.985 * [backup-simplify]: Simplify 0 into 0 3.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.988 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.989 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.989 * [backup-simplify]: Simplify 0 into 0 3.990 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.990 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.991 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.991 * [backup-simplify]: Simplify 0 into 0 3.992 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.992 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.993 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.993 * [backup-simplify]: Simplify 0 into 0 3.994 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.995 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.996 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.996 * [backup-simplify]: Simplify 0 into 0 3.996 * [backup-simplify]: Simplify (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) into (/ 0.3333333333333333 (pow N 3)) 3.996 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 3.996 * [backup-simplify]: Simplify (- (/ 1.0 N) (/ (/ 0.5 N) N)) into (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) 3.996 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) in (N) around 0 3.996 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) in N 3.996 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 3.996 * [taylor]: Taking taylor expansion of 1.0 in N 3.996 * [backup-simplify]: Simplify 1.0 into 1.0 3.996 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.996 * [taylor]: Taking taylor expansion of N in N 3.996 * [backup-simplify]: Simplify 0 into 0 3.996 * [backup-simplify]: Simplify 1 into 1 3.997 * [backup-simplify]: Simplify (/ 1 1) into 1 3.997 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 3.997 * [taylor]: Taking taylor expansion of 0.5 in N 3.997 * [backup-simplify]: Simplify 0.5 into 0.5 3.997 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.997 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.997 * [taylor]: Taking taylor expansion of N in N 3.997 * [backup-simplify]: Simplify 0 into 0 3.997 * [backup-simplify]: Simplify 1 into 1 3.997 * [backup-simplify]: Simplify (* 1 1) into 1 3.997 * [backup-simplify]: Simplify (/ 1 1) into 1 3.997 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) in N 3.997 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 3.997 * [taylor]: Taking taylor expansion of 1.0 in N 3.997 * [backup-simplify]: Simplify 1.0 into 1.0 3.997 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.997 * [taylor]: Taking taylor expansion of N in N 3.998 * [backup-simplify]: Simplify 0 into 0 3.998 * [backup-simplify]: Simplify 1 into 1 3.998 * [backup-simplify]: Simplify (/ 1 1) into 1 3.998 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 3.998 * [taylor]: Taking taylor expansion of 0.5 in N 3.998 * [backup-simplify]: Simplify 0.5 into 0.5 3.998 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.998 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.998 * [taylor]: Taking taylor expansion of N in N 3.998 * [backup-simplify]: Simplify 0 into 0 3.998 * [backup-simplify]: Simplify 1 into 1 3.998 * [backup-simplify]: Simplify (* 1 1) into 1 3.998 * [backup-simplify]: Simplify (/ 1 1) into 1 3.999 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.999 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.000 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 4.000 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.000 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 4.001 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.002 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 4.002 * [backup-simplify]: Simplify (- 0) into 0 4.002 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.002 * [backup-simplify]: Simplify 1.0 into 1.0 4.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.003 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 4.004 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.005 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 4.005 * [backup-simplify]: Simplify (- 0) into 0 4.005 * [backup-simplify]: Simplify (+ 0 0) into 0 4.005 * [backup-simplify]: Simplify 0 into 0 4.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.006 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 4.007 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.008 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.008 * [backup-simplify]: Simplify (- 0) into 0 4.009 * [backup-simplify]: Simplify (+ 0 0) into 0 4.009 * [backup-simplify]: Simplify 0 into 0 4.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.010 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.011 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.012 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.012 * [backup-simplify]: Simplify (- 0) into 0 4.012 * [backup-simplify]: Simplify (+ 0 0) into 0 4.012 * [backup-simplify]: Simplify 0 into 0 4.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.014 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.015 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.017 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.018 * [backup-simplify]: Simplify (- 0) into 0 4.018 * [backup-simplify]: Simplify (+ 0 0) into 0 4.018 * [backup-simplify]: Simplify 0 into 0 4.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.021 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.022 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.025 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.026 * [backup-simplify]: Simplify (- 0) into 0 4.026 * [backup-simplify]: Simplify (+ 0 0) into 0 4.026 * [backup-simplify]: Simplify 0 into 0 4.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.028 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.029 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 4.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.030 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 4.030 * [backup-simplify]: Simplify (- 0) into 0 4.031 * [backup-simplify]: Simplify (+ 0 0) into 0 4.031 * [backup-simplify]: Simplify 0 into 0 4.031 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) (* (- 0.5) (pow (/ 1 N) 2))) into (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) 4.031 * [backup-simplify]: Simplify (- (/ 1.0 (/ 1 N)) (/ (/ 0.5 (/ 1 N)) (/ 1 N))) into (- (* 1.0 N) (* 0.5 (pow N 2))) 4.031 * [approximate]: Taking taylor expansion of (- (* 1.0 N) (* 0.5 (pow N 2))) in (N) around 0 4.031 * [taylor]: Taking taylor expansion of (- (* 1.0 N) (* 0.5 (pow N 2))) in N 4.031 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 4.031 * [taylor]: Taking taylor expansion of 1.0 in N 4.031 * [backup-simplify]: Simplify 1.0 into 1.0 4.031 * [taylor]: Taking taylor expansion of N in N 4.031 * [backup-simplify]: Simplify 0 into 0 4.031 * [backup-simplify]: Simplify 1 into 1 4.031 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 4.031 * [taylor]: Taking taylor expansion of 0.5 in N 4.032 * [backup-simplify]: Simplify 0.5 into 0.5 4.032 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.032 * [taylor]: Taking taylor expansion of N in N 4.032 * [backup-simplify]: Simplify 0 into 0 4.032 * [backup-simplify]: Simplify 1 into 1 4.032 * [taylor]: Taking taylor expansion of (- (* 1.0 N) (* 0.5 (pow N 2))) in N 4.032 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 4.032 * [taylor]: Taking taylor expansion of 1.0 in N 4.032 * [backup-simplify]: Simplify 1.0 into 1.0 4.032 * [taylor]: Taking taylor expansion of N in N 4.032 * [backup-simplify]: Simplify 0 into 0 4.032 * [backup-simplify]: Simplify 1 into 1 4.032 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 4.032 * [taylor]: Taking taylor expansion of 0.5 in N 4.032 * [backup-simplify]: Simplify 0.5 into 0.5 4.032 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.032 * [taylor]: Taking taylor expansion of N in N 4.032 * [backup-simplify]: Simplify 0 into 0 4.032 * [backup-simplify]: Simplify 1 into 1 4.032 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.032 * [backup-simplify]: Simplify (+ 0 0) into 0 4.032 * [backup-simplify]: Simplify 0 into 0 4.033 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 4.034 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.034 * [backup-simplify]: Simplify 1.0 into 1.0 4.034 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 4.034 * [backup-simplify]: Simplify (* 1 1) into 1 4.035 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.035 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.035 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 4.036 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.036 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.037 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.037 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 4.037 * [backup-simplify]: Simplify (- 0) into 0 4.038 * [backup-simplify]: Simplify (+ 0 0) into 0 4.038 * [backup-simplify]: Simplify 0 into 0 4.038 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.039 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.040 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 4.040 * [backup-simplify]: Simplify (- 0) into 0 4.040 * [backup-simplify]: Simplify (+ 0 0) into 0 4.040 * [backup-simplify]: Simplify 0 into 0 4.041 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 4.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.042 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.042 * [backup-simplify]: Simplify (- 0) into 0 4.043 * [backup-simplify]: Simplify (+ 0 0) into 0 4.043 * [backup-simplify]: Simplify 0 into 0 4.043 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 4.044 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.045 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.045 * [backup-simplify]: Simplify (- 0) into 0 4.045 * [backup-simplify]: Simplify (+ 0 0) into 0 4.045 * [backup-simplify]: Simplify 0 into 0 4.046 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 4.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.048 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.048 * [backup-simplify]: Simplify (- 0) into 0 4.048 * [backup-simplify]: Simplify (+ 0 0) into 0 4.048 * [backup-simplify]: Simplify 0 into 0 4.050 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 4.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.051 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.052 * [backup-simplify]: Simplify (- 0) into 0 4.052 * [backup-simplify]: Simplify (+ 0 0) into 0 4.052 * [backup-simplify]: Simplify 0 into 0 4.052 * [backup-simplify]: Simplify (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 1.0 (/ 1 N))) into (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) 4.053 * [backup-simplify]: Simplify (- (/ 1.0 (/ 1 (- N))) (/ (/ 0.5 (/ 1 (- N))) (/ 1 (- N)))) into (- (+ (* 1.0 N) (* 0.5 (pow N 2)))) 4.053 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.5 (pow N 2)))) in (N) around 0 4.053 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.5 (pow N 2)))) in N 4.053 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.5 (pow N 2))) in N 4.053 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 4.053 * [taylor]: Taking taylor expansion of 1.0 in N 4.053 * [backup-simplify]: Simplify 1.0 into 1.0 4.053 * [taylor]: Taking taylor expansion of N in N 4.053 * [backup-simplify]: Simplify 0 into 0 4.053 * [backup-simplify]: Simplify 1 into 1 4.053 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 4.053 * [taylor]: Taking taylor expansion of 0.5 in N 4.053 * [backup-simplify]: Simplify 0.5 into 0.5 4.053 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.053 * [taylor]: Taking taylor expansion of N in N 4.053 * [backup-simplify]: Simplify 0 into 0 4.053 * [backup-simplify]: Simplify 1 into 1 4.053 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.5 (pow N 2)))) in N 4.053 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.5 (pow N 2))) in N 4.053 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 4.053 * [taylor]: Taking taylor expansion of 1.0 in N 4.053 * [backup-simplify]: Simplify 1.0 into 1.0 4.053 * [taylor]: Taking taylor expansion of N in N 4.053 * [backup-simplify]: Simplify 0 into 0 4.053 * [backup-simplify]: Simplify 1 into 1 4.053 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 4.053 * [taylor]: Taking taylor expansion of 0.5 in N 4.053 * [backup-simplify]: Simplify 0.5 into 0.5 4.053 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.053 * [taylor]: Taking taylor expansion of N in N 4.053 * [backup-simplify]: Simplify 0 into 0 4.053 * [backup-simplify]: Simplify 1 into 1 4.054 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.054 * [backup-simplify]: Simplify (+ 0 0) into 0 4.054 * [backup-simplify]: Simplify (- 0) into 0 4.054 * [backup-simplify]: Simplify 0 into 0 4.055 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 4.055 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.056 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 4.056 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 4.056 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 4.057 * [backup-simplify]: Simplify (* 1 1) into 1 4.057 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.057 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 4.058 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.058 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.059 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.060 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.060 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 4.061 * [backup-simplify]: Simplify (+ 0 0) into 0 4.061 * [backup-simplify]: Simplify (- 0) into 0 4.061 * [backup-simplify]: Simplify 0 into 0 4.062 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.063 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.064 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 4.065 * [backup-simplify]: Simplify (+ 0 0) into 0 4.065 * [backup-simplify]: Simplify (- 0) into 0 4.065 * [backup-simplify]: Simplify 0 into 0 4.067 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 4.068 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.069 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.069 * [backup-simplify]: Simplify (+ 0 0) into 0 4.070 * [backup-simplify]: Simplify (- 0) into 0 4.070 * [backup-simplify]: Simplify 0 into 0 4.071 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 4.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.074 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.075 * [backup-simplify]: Simplify (+ 0 0) into 0 4.075 * [backup-simplify]: Simplify (- 0) into 0 4.075 * [backup-simplify]: Simplify 0 into 0 4.077 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 4.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.080 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.081 * [backup-simplify]: Simplify (+ 0 0) into 0 4.081 * [backup-simplify]: Simplify (- 0) into 0 4.081 * [backup-simplify]: Simplify 0 into 0 4.083 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 4.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.087 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.087 * [backup-simplify]: Simplify (+ 0 0) into 0 4.087 * [backup-simplify]: Simplify (- 0) into 0 4.087 * [backup-simplify]: Simplify 0 into 0 4.089 * [backup-simplify]: Simplify (+ (* (- 0.5) (pow (/ 1 (- N)) 2)) (* (- 1.0) (/ 1 (- N)))) into (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) 4.089 * * * [progress]: simplifying candidates 4.097 * [simplify]: Simplifying: (* (exp (/ 0.3333333333333333 (pow N 3))) (/ (exp (/ 1.0 N)) (exp (/ (/ 0.5 N) N)))) (* (exp (/ 0.3333333333333333 (pow N 3))) (exp (- (/ 1.0 N) (/ (/ 0.5 N) N)))) (log (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ (/ 0.5 N) N)))) (exp (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ (/ 0.5 N) N)))) (* (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ (/ 0.5 N) N)))) (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ (/ 0.5 N) N))))) (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ (/ 0.5 N) N)))) (* (* (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ (/ 0.5 N) N))) (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ (/ 0.5 N) N)))) (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ (/ 0.5 N) N)))) (sqrt (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ (/ 0.5 N) N)))) (sqrt (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ (/ 0.5 N) N)))) (+ (* 0.3333333333333333 N) (* (pow N 3) (- 1.0 (/ 0.5 N)))) (* (pow N 3) N) (+ (* 0.3333333333333333 (* N N)) (* (pow N 3) (- (* 1.0 N) (* N (/ 0.5 N))))) (* (pow N 3) (* N N)) (+ (* 0.3333333333333333 (+ (* (/ 1.0 N) (/ 1.0 N)) (+ (* (/ (/ 0.5 N) N) (/ (/ 0.5 N) N)) (* (/ 1.0 N) (/ (/ 0.5 N) N))))) (* (pow N 3) (- (pow (/ 1.0 N) 3) (pow (/ (/ 0.5 N) N) 3)))) (* (pow N 3) (+ (* (/ 1.0 N) (/ 1.0 N)) (+ (* (/ (/ 0.5 N) N) (/ (/ 0.5 N) N)) (* (/ 1.0 N) (/ (/ 0.5 N) N))))) (+ (* 0.3333333333333333 (+ (/ 1.0 N) (/ (/ 0.5 N) N))) (* (pow N 3) (- (* (/ 1.0 N) (/ 1.0 N)) (* (/ (/ 0.5 N) N) (/ (/ 0.5 N) N))))) (* (pow N 3) (+ (/ 1.0 N) (/ (/ 0.5 N) N))) (+ (pow (/ 0.3333333333333333 (pow N 3)) 3) (pow (- (/ 1.0 N) (/ (/ 0.5 N) N)) 3)) (+ (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (- (* (- (/ 1.0 N) (/ (/ 0.5 N) N)) (- (/ 1.0 N) (/ (/ 0.5 N) N))) (* (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ (/ 0.5 N) N))))) (- (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (* (- (/ 1.0 N) (/ (/ 0.5 N) N)) (- (/ 1.0 N) (/ (/ 0.5 N) N)))) (- (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ (/ 0.5 N) N))) (+ (/ 0.3333333333333333 (* N N)) (- 1.0 (/ 0.5 N))) (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ (/ 0.5 N) N))) (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ (/ 0.5 N) N))) (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ (/ 0.5 N) N))) (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (- (- (log 0.5) (log N)) (log N)) (- (log (/ 0.5 N)) (log N)) (log (/ (/ 0.5 N) N)) (exp (/ (/ 0.5 N) N)) (/ (/ (* (* 0.5 0.5) 0.5) (* (* N N) N)) (* (* N N) N)) (/ (* (* (/ 0.5 N) (/ 0.5 N)) (/ 0.5 N)) (* (* N N) N)) (* (cbrt (/ (/ 0.5 N) N)) (cbrt (/ (/ 0.5 N) N))) (cbrt (/ (/ 0.5 N) N)) (* (* (/ (/ 0.5 N) N) (/ (/ 0.5 N) N)) (/ (/ 0.5 N) N)) (sqrt (/ (/ 0.5 N) N)) (sqrt (/ (/ 0.5 N) N)) (- (/ 0.5 N)) (- N) (/ (* (cbrt (/ 0.5 N)) (cbrt (/ 0.5 N))) (* (cbrt N) (cbrt N))) (/ (cbrt (/ 0.5 N)) (cbrt N)) (/ (* (cbrt (/ 0.5 N)) (cbrt (/ 0.5 N))) (sqrt N)) (/ (cbrt (/ 0.5 N)) (sqrt N)) (/ (* (cbrt (/ 0.5 N)) (cbrt (/ 0.5 N))) 1) (/ (cbrt (/ 0.5 N)) N) (/ (sqrt (/ 0.5 N)) (* (cbrt N) (cbrt N))) (/ (sqrt (/ 0.5 N)) (cbrt N)) (/ (sqrt (/ 0.5 N)) (sqrt N)) (/ (sqrt (/ 0.5 N)) (sqrt N)) (/ (sqrt (/ 0.5 N)) 1) (/ (sqrt (/ 0.5 N)) N) (/ (/ (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt N) (cbrt N))) (* (cbrt N) (cbrt N))) (/ (/ (cbrt 0.5) (cbrt N)) (cbrt N)) (/ (/ (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt N) (cbrt N))) (sqrt N)) (/ (/ (cbrt 0.5) (cbrt N)) (sqrt N)) (/ (/ (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt N) (cbrt N))) 1) (/ (/ (cbrt 0.5) (cbrt N)) N) (/ (/ (* (cbrt 0.5) (cbrt 0.5)) (sqrt N)) (* (cbrt N) (cbrt N))) (/ (/ (cbrt 0.5) (sqrt N)) (cbrt N)) (/ (/ (* (cbrt 0.5) (cbrt 0.5)) (sqrt N)) (sqrt N)) (/ (/ (cbrt 0.5) (sqrt N)) (sqrt N)) (/ (/ (* (cbrt 0.5) (cbrt 0.5)) (sqrt N)) 1) (/ (/ (cbrt 0.5) (sqrt N)) N) (/ (/ (* (cbrt 0.5) (cbrt 0.5)) 1) (* (cbrt N) (cbrt N))) (/ (/ (cbrt 0.5) N) (cbrt N)) (/ (/ (* (cbrt 0.5) (cbrt 0.5)) 1) (sqrt N)) (/ (/ (cbrt 0.5) N) (sqrt N)) (/ (/ (* (cbrt 0.5) (cbrt 0.5)) 1) 1) (/ (/ (cbrt 0.5) N) N) (/ (/ (sqrt 0.5) (* (cbrt N) (cbrt N))) (* (cbrt N) (cbrt N))) (/ (/ (sqrt 0.5) (cbrt N)) (cbrt N)) (/ (/ (sqrt 0.5) (* (cbrt N) (cbrt N))) (sqrt N)) (/ (/ (sqrt 0.5) (cbrt N)) (sqrt N)) (/ (/ (sqrt 0.5) (* (cbrt N) (cbrt N))) 1) (/ (/ (sqrt 0.5) (cbrt N)) N) (/ (/ (sqrt 0.5) (sqrt N)) (* (cbrt N) (cbrt N))) (/ (/ (sqrt 0.5) (sqrt N)) (cbrt N)) (/ (/ (sqrt 0.5) (sqrt N)) (sqrt N)) (/ (/ (sqrt 0.5) (sqrt N)) (sqrt N)) (/ (/ (sqrt 0.5) (sqrt N)) 1) (/ (/ (sqrt 0.5) (sqrt N)) N) (/ (/ (sqrt 0.5) 1) (* (cbrt N) (cbrt N))) (/ (/ (sqrt 0.5) N) (cbrt N)) (/ (/ (sqrt 0.5) 1) (sqrt N)) (/ (/ (sqrt 0.5) N) (sqrt N)) (/ (/ (sqrt 0.5) 1) 1) (/ (/ (sqrt 0.5) N) N) (/ (/ 1 (* (cbrt N) (cbrt N))) (* (cbrt N) (cbrt N))) (/ (/ 0.5 (cbrt N)) (cbrt N)) (/ (/ 1 (* (cbrt N) (cbrt N))) (sqrt N)) (/ (/ 0.5 (cbrt N)) (sqrt N)) (/ (/ 1 (* (cbrt N) (cbrt N))) 1) (/ (/ 0.5 (cbrt N)) N) (/ (/ 1 (sqrt N)) (* (cbrt N) (cbrt N))) (/ (/ 0.5 (sqrt N)) (cbrt N)) (/ (/ 1 (sqrt N)) (sqrt N)) (/ (/ 0.5 (sqrt N)) (sqrt N)) (/ (/ 1 (sqrt N)) 1) (/ (/ 0.5 (sqrt N)) N) (/ (/ 1 1) (* (cbrt N) (cbrt N))) (/ (/ 0.5 N) (cbrt N)) (/ (/ 1 1) (sqrt N)) (/ (/ 0.5 N) (sqrt N)) (/ (/ 1 1) 1) (/ (/ 0.5 N) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (/ 0.5 N) (cbrt N)) (/ 1 (sqrt N)) (/ (/ 0.5 N) (sqrt N)) (/ 1 1) (/ (/ 0.5 N) N) (/ 0.5 (* (cbrt N) (cbrt N))) (/ (/ 1 N) (cbrt N)) (/ 0.5 (sqrt N)) (/ (/ 1 N) (sqrt N)) (/ 0.5 1) (/ (/ 1 N) N) (/ 1 N) (/ N (/ 0.5 N)) (/ (/ 0.5 N) (* (cbrt N) (cbrt N))) (/ (/ 0.5 N) (sqrt N)) (/ (/ 0.5 N) 1) (/ N (cbrt (/ 0.5 N))) (/ N (sqrt (/ 0.5 N))) (/ N (/ (cbrt 0.5) (cbrt N))) (/ N (/ (cbrt 0.5) (sqrt N))) (/ N (/ (cbrt 0.5) N)) (/ N (/ (sqrt 0.5) (cbrt N))) (/ N (/ (sqrt 0.5) (sqrt N))) (/ N (/ (sqrt 0.5) N)) (/ N (/ 0.5 (cbrt N))) (/ N (/ 0.5 (sqrt N))) (/ N (/ 0.5 N)) (/ N (/ 0.5 N)) (/ N (/ 1 N)) (* N N) (- (log 0.3333333333333333) (* (log N) 3)) (- (log 0.3333333333333333) (* (log N) 3)) (- (log 0.3333333333333333) (log (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (exp (/ 0.3333333333333333 (pow N 3))) (/ (* (* 0.3333333333333333 0.3333333333333333) 0.3333333333333333) (* (* (pow N 3) (pow N 3)) (pow N 3))) (* (cbrt (/ 0.3333333333333333 (pow N 3))) (cbrt (/ 0.3333333333333333 (pow N 3)))) (cbrt (/ 0.3333333333333333 (pow N 3))) (* (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (/ 0.3333333333333333 (pow N 3))) (sqrt (/ 0.3333333333333333 (pow N 3))) (sqrt (/ 0.3333333333333333 (pow N 3))) (- 0.3333333333333333) (- (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (* (cbrt N) (cbrt N)) 3)) (/ (cbrt 0.3333333333333333) (pow (cbrt N) 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (sqrt N) 3)) (/ (cbrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow 1 3)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* N N)) (/ (cbrt 0.3333333333333333) N) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ (cbrt 0.3333333333333333) (cbrt (pow N 3))) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (* (cbrt N) (cbrt N)) 3)) (/ (cbrt 0.3333333333333333) (pow (cbrt N) 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (sqrt N) 3)) (/ (cbrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow 1 3)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) N) (/ (cbrt 0.3333333333333333) (* N N)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (sqrt (pow N 3))) (/ (cbrt 0.3333333333333333) (sqrt (pow N 3))) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) 1) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow N (/ 3 2))) (/ (cbrt 0.3333333333333333) (pow N (/ 3 2))) (/ (sqrt 0.3333333333333333) (pow (* (cbrt N) (cbrt N)) 3)) (/ (sqrt 0.3333333333333333) (pow (cbrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow 1 3)) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ (sqrt 0.3333333333333333) (cbrt (pow N 3))) (/ (sqrt 0.3333333333333333) (pow (* (cbrt N) (cbrt N)) 3)) (/ (sqrt 0.3333333333333333) (pow (cbrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow 1 3)) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (/ (sqrt 0.3333333333333333) 1) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) (pow N (/ 3 2))) (/ (sqrt 0.3333333333333333) (pow N (/ 3 2))) (/ 1 (pow (* (cbrt N) (cbrt N)) 3)) (/ 0.3333333333333333 (pow (cbrt N) 3)) (/ 1 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) (/ 1 (pow 1 3)) (/ 0.3333333333333333 (pow N 3)) (/ 1 (* N N)) (/ 0.3333333333333333 N) (/ 1 (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ 0.3333333333333333 (cbrt (pow N 3))) (/ 1 (pow (* (cbrt N) (cbrt N)) 3)) (/ 0.3333333333333333 (pow (cbrt N) 3)) (/ 1 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) (/ 1 (pow 1 3)) (/ 0.3333333333333333 (pow N 3)) (/ 1 N) (/ 0.3333333333333333 (* N N)) (/ 1 (sqrt (pow N 3))) (/ 0.3333333333333333 (sqrt (pow N 3))) (/ 1 1) (/ 0.3333333333333333 (pow N 3)) (/ 1 (pow N (/ 3 2))) (/ 0.3333333333333333 (pow N (/ 3 2))) (/ 1 (pow N 3)) (/ (pow N 3) 0.3333333333333333) (/ 0.3333333333333333 (pow (* (cbrt N) (cbrt N)) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow 1 3)) (/ 0.3333333333333333 (* N N)) (/ 0.3333333333333333 (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ 0.3333333333333333 (pow (* (cbrt N) (cbrt N)) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow 1 3)) (/ 0.3333333333333333 N) (/ 0.3333333333333333 (sqrt (pow N 3))) (/ 0.3333333333333333 1) (/ 0.3333333333333333 (pow N (/ 3 2))) (/ (pow N 3) (cbrt 0.3333333333333333)) (/ (pow N 3) (sqrt 0.3333333333333333)) (/ (pow N 3) 0.3333333333333333) (/ (exp (/ 1.0 N)) (exp (/ (/ 0.5 N) N))) (log (- (/ 1.0 N) (/ (/ 0.5 N) N))) (exp (- (/ 1.0 N) (/ (/ 0.5 N) N))) (* (cbrt (- (/ 1.0 N) (/ (/ 0.5 N) N))) (cbrt (- (/ 1.0 N) (/ (/ 0.5 N) N)))) (cbrt (- (/ 1.0 N) (/ (/ 0.5 N) N))) (* (* (- (/ 1.0 N) (/ (/ 0.5 N) N)) (- (/ 1.0 N) (/ (/ 0.5 N) N))) (- (/ 1.0 N) (/ (/ 0.5 N) N))) (sqrt (- (/ 1.0 N) (/ (/ 0.5 N) N))) (sqrt (- (/ 1.0 N) (/ (/ 0.5 N) N))) (- 1.0 (/ 0.5 N)) (- (* 1.0 N) (* N (/ 0.5 N))) (* N N) (- (pow (/ 1.0 N) 3) (pow (/ (/ 0.5 N) N) 3)) (+ (* (/ 1.0 N) (/ 1.0 N)) (+ (* (/ (/ 0.5 N) N) (/ (/ 0.5 N) N)) (* (/ 1.0 N) (/ (/ 0.5 N) N)))) (- (/ (/ 0.5 N) N)) (- (* (/ 1.0 N) (/ 1.0 N)) (* (/ (/ 0.5 N) N) (/ (/ 0.5 N) N))) (+ (/ 1.0 N) (/ (/ 0.5 N) N)) (+ (sqrt (/ 1.0 N)) (sqrt (/ (/ 0.5 N) N))) (- (sqrt (/ 1.0 N)) (sqrt (/ (/ 0.5 N) N))) (+ (sqrt (/ 1.0 N)) (/ (sqrt (/ 0.5 N)) (sqrt N))) (- (sqrt (/ 1.0 N)) (/ (sqrt (/ 0.5 N)) (sqrt N))) (+ (sqrt (/ 1.0 N)) (/ (/ (sqrt 0.5) (sqrt N)) (sqrt N))) (- (sqrt (/ 1.0 N)) (/ (/ (sqrt 0.5) (sqrt N)) (sqrt N))) (+ (/ (sqrt 1.0) (sqrt N)) (sqrt (/ (/ 0.5 N) N))) (- (/ (sqrt 1.0) (sqrt N)) (sqrt (/ (/ 0.5 N) N))) (+ (/ (sqrt 1.0) (sqrt N)) (/ (sqrt (/ 0.5 N)) (sqrt N))) (- (/ (sqrt 1.0) (sqrt N)) (/ (sqrt (/ 0.5 N)) (sqrt N))) (+ (/ (sqrt 1.0) (sqrt N)) (/ (/ (sqrt 0.5) (sqrt N)) (sqrt N))) (- (/ (sqrt 1.0) (sqrt N)) (/ (/ (sqrt 0.5) (sqrt N)) (sqrt N))) (- (/ 1.0 (cbrt N)) (/ (/ 0.5 N) (cbrt N))) (- (/ 1.0 (sqrt N)) (/ (/ 0.5 N) (sqrt N))) (- (/ 1.0 N) (/ (/ 0.5 N) N)) (- (/ 1.0 N) (/ (/ 0.5 N) N)) (- 1.0 (/ 0.5 N)) (- (/ (/ 0.5 N) N)) (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (/ 0.5 (pow N 2)) (/ 0.5 (pow N 2)) (/ 0.5 (pow N 2)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) 4.103 * * [simplify]: iteration 0: 316 enodes 4.230 * * [simplify]: iteration 1: 801 enodes 5.188 * * [simplify]: iteration 2: 4419 enodes 6.825 * * [simplify]: iteration complete: 5002 enodes 6.825 * * [simplify]: Extracting #0: cost 179 inf + 0 6.830 * * [simplify]: Extracting #1: cost 1244 inf + 5 6.839 * * [simplify]: Extracting #2: cost 1932 inf + 978 6.847 * * [simplify]: Extracting #3: cost 826 inf + 7579 6.854 * * [simplify]: Extracting #4: cost 98 inf + 14241 6.867 * * [simplify]: Extracting #5: cost 3 inf + 16095 6.874 * * [simplify]: Extracting #6: cost 0 inf + 16184 6.882 * [simplify]: Simplified to: (exp (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (exp (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (log (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))) (exp (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (* (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))) (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))))) (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))) (pow (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))) 3) (sqrt (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))) (sqrt (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))) (+ (* (pow N 3) (- 1.0 (/ 0.5 N))) (* N 0.3333333333333333)) (pow N 4) (+ (* N (* N 0.3333333333333333)) (* (pow N 3) (- (* N 1.0) (/ (* 0.5 N) N)))) (* N (pow N 4)) (+ (* 0.3333333333333333 (+ (/ (* 1.0 (/ 1.0 N)) N) (* (/ 0.5 (* N N)) (+ (/ 0.5 (* N N)) (/ 1.0 N))))) (* (pow N 3) (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3)))) (* (+ (/ (* 1.0 (/ 1.0 N)) N) (* (/ 0.5 (* N N)) (+ (/ 0.5 (* N N)) (/ 1.0 N)))) (pow N 3)) (+ (* 0.3333333333333333 (+ (/ 1.0 N) (/ 0.5 (* N N)))) (* (pow N 3) (* (- (/ 1.0 N) (/ 0.5 (* N N))) (+ (/ 0.5 (* N N)) (/ 1.0 N))))) (* (pow N 3) (+ (/ 0.5 (* N N)) (/ 1.0 N))) (+ (pow (- (/ 1.0 N) (/ 0.5 (* N N))) 3) (pow (/ 0.3333333333333333 (pow N 3)) 3)) (+ (/ (* 0.3333333333333333 0.3333333333333333) (pow N 6)) (* (- (/ 1.0 N) (/ 0.5 (* N N))) (- (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))))) (- (/ (* 0.3333333333333333 0.3333333333333333) (pow N 6)) (* (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N))))) (+ (- (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (/ 0.5 (* N N))) (- (+ (/ (/ 0.3333333333333333 N) N) 1.0) (/ 0.5 N)) (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))) (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))) (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))) (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (log (/ 0.5 (* N N))) (log (/ 0.5 (* N N))) (log (/ 0.5 (* N N))) (exp (/ 0.5 (* N N))) (pow (/ 0.5 (* N N)) 3) (pow (/ 0.5 (* N N)) 3) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N)))) (cbrt (/ 0.5 (* N N))) (pow (/ 0.5 (* N N)) 3) (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N))) (/ (- 0.5) N) (- N) (/ (cbrt (/ 0.5 N)) (/ (* (cbrt N) (cbrt N)) (cbrt (/ 0.5 N)))) (/ (cbrt (/ 0.5 N)) (cbrt N)) (/ (cbrt (/ 0.5 N)) (/ (sqrt N) (cbrt (/ 0.5 N)))) (/ (cbrt (/ 0.5 N)) (sqrt N)) (* (cbrt (/ 0.5 N)) (cbrt (/ 0.5 N))) (/ (cbrt (/ 0.5 N)) N) (/ (sqrt (/ 0.5 N)) (* (cbrt N) (cbrt N))) (/ (sqrt (/ 0.5 N)) (cbrt N)) (/ (sqrt (/ 0.5 N)) (sqrt N)) (/ (sqrt (/ 0.5 N)) (sqrt N)) (sqrt (/ 0.5 N)) (/ (sqrt (/ 0.5 N)) N) (/ (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt N) N)) (/ (cbrt 0.5) (* (cbrt N) (cbrt N))) (/ (/ (/ (* (cbrt 0.5) (cbrt 0.5)) (cbrt N)) (cbrt N)) (sqrt N)) (/ (cbrt 0.5) (* (sqrt N) (cbrt N))) (/ (/ (* (cbrt 0.5) (cbrt 0.5)) (cbrt N)) (cbrt N)) (/ (cbrt 0.5) (* (cbrt N) N)) (/ (/ (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt N) (sqrt N))) (cbrt N)) (/ (cbrt 0.5) (* (sqrt N) (cbrt N))) (/ (cbrt 0.5) (/ N (cbrt 0.5))) (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) (sqrt N)) (/ (/ (cbrt 0.5) (sqrt N)) N) (/ (/ (* (cbrt 0.5) (cbrt 0.5)) (cbrt N)) (cbrt N)) (/ (/ (cbrt 0.5) (cbrt N)) N) (/ (* (cbrt 0.5) (cbrt 0.5)) (sqrt N)) (/ (cbrt 0.5) (* (sqrt N) N)) (* (cbrt 0.5) (cbrt 0.5)) (/ (/ (cbrt 0.5) N) N) (/ (/ (sqrt 0.5) N) (cbrt N)) (/ (/ (sqrt 0.5) (cbrt N)) (cbrt N)) (/ (sqrt 0.5) (* (sqrt N) (* (cbrt N) (cbrt N)))) (/ (/ (sqrt 0.5) (sqrt N)) (cbrt N)) (/ (/ (sqrt 0.5) (cbrt N)) (cbrt N)) (/ (/ (sqrt 0.5) N) (cbrt N)) (/ (/ (sqrt 0.5) (sqrt N)) (* (cbrt N) (cbrt N))) (/ (sqrt 0.5) (* (cbrt N) (sqrt N))) (/ (sqrt 0.5) N) (/ (sqrt 0.5) N) (/ (sqrt 0.5) (sqrt N)) (/ (sqrt 0.5) (* N (sqrt N))) (/ (/ (sqrt 0.5) (cbrt N)) (cbrt N)) (/ (sqrt 0.5) (* (cbrt N) N)) (/ (sqrt 0.5) (sqrt N)) (/ (/ (sqrt 0.5) N) (sqrt N)) (sqrt 0.5) (/ (sqrt 0.5) (* N N)) (/ 1 (* (cbrt N) N)) (/ 0.5 (* (cbrt N) (cbrt N))) (/ 1 (* (sqrt N) (* (cbrt N) (cbrt N)))) (/ (/ 0.5 (sqrt N)) (cbrt N)) (/ 1 (* (cbrt N) (cbrt N))) (/ 0.5 (* N (cbrt N))) (/ (/ 1 (* (cbrt N) (sqrt N))) (cbrt N)) (/ 0.5 (* (sqrt N) (cbrt N))) (/ 1 N) (/ 0.5 N) (/ 1 (sqrt N)) (/ (/ 0.5 N) (sqrt N)) (/ 1 (* (cbrt N) (cbrt N))) (/ 0.5 (* (cbrt N) N)) (/ 1 (sqrt N)) (/ (/ 0.5 (sqrt N)) N) 1 (/ 0.5 (* N N)) (/ 1 (* (cbrt N) (cbrt N))) (/ 0.5 (* (cbrt N) N)) (/ 1 (sqrt N)) (/ (/ 0.5 (sqrt N)) N) 1 (/ 0.5 (* N N)) (/ (/ 0.5 (cbrt N)) (cbrt N)) (/ 1 (* (cbrt N) N)) (/ 0.5 (sqrt N)) (/ 1 (* N (sqrt N))) 0.5 (/ 1 (* N N)) (/ 1 N) (/ N (/ 0.5 N)) (/ (/ (/ 0.5 N) (cbrt N)) (cbrt N)) (/ (/ 0.5 (sqrt N)) N) (/ 0.5 N) (/ N (cbrt (/ 0.5 N))) (/ N (sqrt (/ 0.5 N))) (* (/ N (cbrt 0.5)) (cbrt N)) (/ N (/ (cbrt 0.5) (sqrt N))) (/ N (/ (cbrt 0.5) N)) (* (/ N (sqrt 0.5)) (cbrt N)) (* (/ N (sqrt 0.5)) (sqrt N)) (* (/ N (sqrt 0.5)) N) (* (/ N 0.5) (cbrt N)) (* (sqrt N) (/ N 0.5)) (/ N (/ 0.5 N)) (/ N (/ 0.5 N)) (* N N) (* N N) (log (/ 0.3333333333333333 (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (exp (/ 0.3333333333333333 (pow N 3))) (pow (/ 0.3333333333333333 (pow N 3)) 3) (* (cbrt (/ 0.3333333333333333 (pow N 3))) (cbrt (/ 0.3333333333333333 (pow N 3)))) (cbrt (/ 0.3333333333333333 (pow N 3))) (pow (/ 0.3333333333333333 (pow N 3)) 3) (sqrt (/ 0.3333333333333333 (pow N 3))) (sqrt (/ 0.3333333333333333 (pow N 3))) (- 0.3333333333333333) (- (pow N 3)) (* (/ (cbrt 0.3333333333333333) N) (/ (cbrt 0.3333333333333333) N)) (/ (cbrt 0.3333333333333333) N) (/ (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) N) (sqrt N)) (/ (cbrt 0.3333333333333333) (* N (sqrt N))) (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) (pow N 3)) (* (/ (cbrt 0.3333333333333333) N) (/ (cbrt 0.3333333333333333) N)) (/ (cbrt 0.3333333333333333) N) (* (/ (cbrt 0.3333333333333333) N) (/ (cbrt 0.3333333333333333) N)) (/ (cbrt 0.3333333333333333) N) (* (/ (cbrt 0.3333333333333333) N) (/ (cbrt 0.3333333333333333) N)) (/ (cbrt 0.3333333333333333) N) (/ (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) N) (sqrt N)) (/ (cbrt 0.3333333333333333) (* N (sqrt N))) (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) (pow N 3)) (* (/ (cbrt 0.3333333333333333) N) (cbrt 0.3333333333333333)) (/ (/ (cbrt 0.3333333333333333) N) N) (/ (cbrt 0.3333333333333333) (/ (sqrt (pow N 3)) (cbrt 0.3333333333333333))) (/ (cbrt 0.3333333333333333) (sqrt (pow N 3))) (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow N 3/2)) (/ (cbrt 0.3333333333333333) (pow N 3/2)) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N) (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N) (sqrt 0.3333333333333333) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N) (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N) (sqrt 0.3333333333333333) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (sqrt 0.3333333333333333) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) (pow N 3/2)) (/ (sqrt 0.3333333333333333) (pow N 3/2)) (/ (/ 1 N) N) (/ 0.3333333333333333 N) (/ 1 (* N (sqrt N))) (/ (/ 0.3333333333333333 N) (sqrt N)) 1 (/ 0.3333333333333333 (pow N 3)) (/ (/ 1 N) N) (/ 0.3333333333333333 N) (/ (/ 1 N) N) (/ 0.3333333333333333 N) (/ (/ 1 N) N) (/ 0.3333333333333333 N) (/ 1 (* N (sqrt N))) (/ (/ 0.3333333333333333 N) (sqrt N)) 1 (/ 0.3333333333333333 (pow N 3)) (/ 1 N) (/ (/ 0.3333333333333333 N) N) (/ 1 (sqrt (pow N 3))) (/ 0.3333333333333333 (sqrt (pow N 3))) 1 (/ 0.3333333333333333 (pow N 3)) (/ 1 (pow N 3/2)) (/ 0.3333333333333333 (pow N 3/2)) (/ 1 (pow N 3)) (/ (pow N 3) 0.3333333333333333) (/ (/ 0.3333333333333333 N) N) (/ (/ 0.3333333333333333 N) (sqrt N)) 0.3333333333333333 (/ (/ 0.3333333333333333 N) N) (/ (/ 0.3333333333333333 N) N) (/ (/ 0.3333333333333333 N) N) (/ (/ 0.3333333333333333 N) (sqrt N)) 0.3333333333333333 (/ 0.3333333333333333 N) (/ 0.3333333333333333 (sqrt (pow N 3))) 0.3333333333333333 (/ 0.3333333333333333 (pow N 3/2)) (/ (pow N 3) (cbrt 0.3333333333333333)) (/ (pow N 3) (sqrt 0.3333333333333333)) (/ (pow N 3) 0.3333333333333333) (exp (- (/ 1.0 N) (/ 0.5 (* N N)))) (log (- (/ 1.0 N) (/ 0.5 (* N N)))) (exp (- (/ 1.0 N) (/ 0.5 (* N N)))) (* (cbrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (cbrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (cbrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (pow (- (/ 1.0 N) (/ 0.5 (* N N))) 3) (sqrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (sqrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (- 1.0 (/ 0.5 N)) (- (* N 1.0) (/ (* 0.5 N) N)) (* N N) (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3)) (+ (/ (* 1.0 (/ 1.0 N)) N) (* (/ 0.5 (* N N)) (+ (/ 0.5 (* N N)) (/ 1.0 N)))) (- (/ 0.5 (* N N))) (* (- (/ 1.0 N) (/ 0.5 (* N N))) (+ (/ 0.5 (* N N)) (/ 1.0 N))) (+ (/ 0.5 (* N N)) (/ 1.0 N)) (+ (sqrt (/ 0.5 (* N N))) (sqrt (/ 1.0 N))) (- (sqrt (/ 1.0 N)) (sqrt (/ 0.5 (* N N)))) (+ (sqrt (/ 1.0 N)) (/ (sqrt (/ 0.5 N)) (sqrt N))) (- (sqrt (/ 1.0 N)) (/ (sqrt (/ 0.5 N)) (sqrt N))) (+ (/ (sqrt 0.5) N) (sqrt (/ 1.0 N))) (- (sqrt (/ 1.0 N)) (/ (sqrt 0.5) N)) (+ (/ (sqrt 1.0) (sqrt N)) (sqrt (/ 0.5 (* N N)))) (- (/ (sqrt 1.0) (sqrt N)) (sqrt (/ 0.5 (* N N)))) (+ (/ (sqrt 1.0) (sqrt N)) (/ (sqrt (/ 0.5 N)) (sqrt N))) (- (/ (sqrt 1.0) (sqrt N)) (/ (sqrt (/ 0.5 N)) (sqrt N))) (+ (/ (sqrt 0.5) N) (/ (sqrt 1.0) (sqrt N))) (- (/ (sqrt 1.0) (sqrt N)) (/ (sqrt 0.5) N)) (- (/ 1.0 (cbrt N)) (/ 0.5 (* (cbrt N) N))) (- (/ 1.0 (sqrt N)) (/ (/ 0.5 (sqrt N)) N)) (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N))) (- 1.0 (/ 0.5 N)) (- (/ 0.5 (* N N))) (+ (- (/ 1.0 N) (/ (/ 0.5 N) N)) (/ 0.3333333333333333 (pow N 3))) (+ (- (/ 1.0 N) (/ (/ 0.5 N) N)) (/ 0.3333333333333333 (pow N 3))) (+ (- (/ 1.0 N) (/ (/ 0.5 N) N)) (/ 0.3333333333333333 (pow N 3))) (/ (/ 0.5 N) N) (/ (/ 0.5 N) N) (/ (/ 0.5 N) N) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ (/ 0.5 N) N)) (- (/ 1.0 N) (/ (/ 0.5 N) N)) (- (/ 1.0 N) (/ (/ 0.5 N) N)) 6.884 * * * [progress]: adding candidates to table 7.810 * * [progress]: iteration 4 / 4 7.810 * * * [progress]: picking best candidate 7.835 * * * * [pick]: Picked # 7.835 * * * [progress]: localizing error 7.853 * * * [progress]: generating rewritten candidates 7.853 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 7.896 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 7.972 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 7.979 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 7.995 * * * [progress]: generating series expansions 7.995 * * * * [progress]: [ 1 / 4 ] generating series at (2) 7.995 * [backup-simplify]: Simplify (+ (/ 0.3333333333333333 (pow N 3)) (* (/ 1 N) (- 1.0 (/ 0.5 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 7.996 * [approximate]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in (N) around 0 7.996 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N 7.996 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 7.996 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 7.996 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 7.996 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.996 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 7.996 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.996 * [taylor]: Taking taylor expansion of N in N 7.996 * [backup-simplify]: Simplify 0 into 0 7.996 * [backup-simplify]: Simplify 1 into 1 7.997 * [backup-simplify]: Simplify (* 1 1) into 1 7.997 * [backup-simplify]: Simplify (* 1 1) into 1 7.997 * [backup-simplify]: Simplify (/ 1 1) into 1 7.997 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 7.997 * [taylor]: Taking taylor expansion of 1.0 in N 7.997 * [backup-simplify]: Simplify 1.0 into 1.0 7.997 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.997 * [taylor]: Taking taylor expansion of N in N 7.998 * [backup-simplify]: Simplify 0 into 0 7.998 * [backup-simplify]: Simplify 1 into 1 7.998 * [backup-simplify]: Simplify (/ 1 1) into 1 7.998 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 7.998 * [taylor]: Taking taylor expansion of 0.5 in N 7.998 * [backup-simplify]: Simplify 0.5 into 0.5 7.998 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 7.998 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.998 * [taylor]: Taking taylor expansion of N in N 7.998 * [backup-simplify]: Simplify 0 into 0 7.998 * [backup-simplify]: Simplify 1 into 1 7.999 * [backup-simplify]: Simplify (* 1 1) into 1 7.999 * [backup-simplify]: Simplify (/ 1 1) into 1 7.999 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N 7.999 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 7.999 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 7.999 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 7.999 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.999 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 7.999 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.999 * [taylor]: Taking taylor expansion of N in N 7.999 * [backup-simplify]: Simplify 0 into 0 7.999 * [backup-simplify]: Simplify 1 into 1 8.000 * [backup-simplify]: Simplify (* 1 1) into 1 8.000 * [backup-simplify]: Simplify (* 1 1) into 1 8.000 * [backup-simplify]: Simplify (/ 1 1) into 1 8.000 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 8.000 * [taylor]: Taking taylor expansion of 1.0 in N 8.000 * [backup-simplify]: Simplify 1.0 into 1.0 8.000 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.000 * [taylor]: Taking taylor expansion of N in N 8.001 * [backup-simplify]: Simplify 0 into 0 8.001 * [backup-simplify]: Simplify 1 into 1 8.001 * [backup-simplify]: Simplify (/ 1 1) into 1 8.001 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 8.001 * [taylor]: Taking taylor expansion of 0.5 in N 8.001 * [backup-simplify]: Simplify 0.5 into 0.5 8.001 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 8.001 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.001 * [taylor]: Taking taylor expansion of N in N 8.001 * [backup-simplify]: Simplify 0 into 0 8.001 * [backup-simplify]: Simplify 1 into 1 8.002 * [backup-simplify]: Simplify (* 1 1) into 1 8.002 * [backup-simplify]: Simplify (/ 1 1) into 1 8.002 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 8.003 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 8.003 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 8.003 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.004 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.005 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.006 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 8.007 * [backup-simplify]: Simplify (+ 0 0) into 0 8.007 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.008 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 8.008 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 8.009 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 8.010 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.011 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.013 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 8.013 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 8.014 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.014 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.016 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 8.017 * [backup-simplify]: Simplify (- 0) into 0 8.021 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.021 * [backup-simplify]: Simplify 1.0 into 1.0 8.022 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 0.3333333333333333 (pow (/ 1 N) 3)))) into (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) 8.023 * [backup-simplify]: Simplify (+ (/ 0.3333333333333333 (pow (/ 1 N) 3)) (* (/ 1 (/ 1 N)) (- 1.0 (/ 0.5 (/ 1 N))))) into (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) 8.023 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in (N) around 0 8.023 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 8.023 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 8.023 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 8.023 * [taylor]: Taking taylor expansion of 1.0 in N 8.023 * [backup-simplify]: Simplify 1.0 into 1.0 8.023 * [taylor]: Taking taylor expansion of N in N 8.023 * [backup-simplify]: Simplify 0 into 0 8.023 * [backup-simplify]: Simplify 1 into 1 8.023 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 8.023 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 8.023 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.023 * [taylor]: Taking taylor expansion of (pow N 3) in N 8.023 * [taylor]: Taking taylor expansion of N in N 8.023 * [backup-simplify]: Simplify 0 into 0 8.023 * [backup-simplify]: Simplify 1 into 1 8.023 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 8.023 * [taylor]: Taking taylor expansion of 0.5 in N 8.023 * [backup-simplify]: Simplify 0.5 into 0.5 8.023 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.023 * [taylor]: Taking taylor expansion of N in N 8.023 * [backup-simplify]: Simplify 0 into 0 8.023 * [backup-simplify]: Simplify 1 into 1 8.024 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 8.024 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 8.024 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 8.024 * [taylor]: Taking taylor expansion of 1.0 in N 8.024 * [backup-simplify]: Simplify 1.0 into 1.0 8.024 * [taylor]: Taking taylor expansion of N in N 8.024 * [backup-simplify]: Simplify 0 into 0 8.024 * [backup-simplify]: Simplify 1 into 1 8.024 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 8.024 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 8.024 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.024 * [taylor]: Taking taylor expansion of (pow N 3) in N 8.024 * [taylor]: Taking taylor expansion of N in N 8.024 * [backup-simplify]: Simplify 0 into 0 8.024 * [backup-simplify]: Simplify 1 into 1 8.024 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 8.024 * [taylor]: Taking taylor expansion of 0.5 in N 8.024 * [backup-simplify]: Simplify 0.5 into 0.5 8.024 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.024 * [taylor]: Taking taylor expansion of N in N 8.024 * [backup-simplify]: Simplify 0 into 0 8.024 * [backup-simplify]: Simplify 1 into 1 8.025 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.026 * [backup-simplify]: Simplify (+ 0 0) into 0 8.026 * [backup-simplify]: Simplify (+ 0 0) into 0 8.026 * [backup-simplify]: Simplify 0 into 0 8.027 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 8.028 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.028 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.028 * [backup-simplify]: Simplify 1.0 into 1.0 8.029 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 8.029 * [backup-simplify]: Simplify (+ 0 0) into 0 8.029 * [backup-simplify]: Simplify (* 1 1) into 1 8.030 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.030 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 8.031 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 8.031 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 8.032 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.032 * [backup-simplify]: Simplify (* 1 1) into 1 8.032 * [backup-simplify]: Simplify (* 1 1) into 1 8.032 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 8.033 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 8.033 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.034 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 8.034 * [backup-simplify]: Simplify (- 0) into 0 8.034 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 8.034 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.035 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 8.035 * [backup-simplify]: Simplify (+ (/ 0.3333333333333333 (pow (/ 1 (- N)) 3)) (* (/ 1 (/ 1 (- N))) (- 1.0 (/ 0.5 (/ 1 (- N)))))) into (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) 8.035 * [approximate]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in (N) around 0 8.035 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 8.035 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 8.035 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 8.035 * [taylor]: Taking taylor expansion of 0.5 in N 8.035 * [backup-simplify]: Simplify 0.5 into 0.5 8.035 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.035 * [taylor]: Taking taylor expansion of N in N 8.035 * [backup-simplify]: Simplify 0 into 0 8.035 * [backup-simplify]: Simplify 1 into 1 8.035 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 8.035 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 8.035 * [taylor]: Taking taylor expansion of 1.0 in N 8.035 * [backup-simplify]: Simplify 1.0 into 1.0 8.035 * [taylor]: Taking taylor expansion of N in N 8.035 * [backup-simplify]: Simplify 0 into 0 8.035 * [backup-simplify]: Simplify 1 into 1 8.035 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 8.035 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 8.035 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.035 * [taylor]: Taking taylor expansion of (pow N 3) in N 8.035 * [taylor]: Taking taylor expansion of N in N 8.035 * [backup-simplify]: Simplify 0 into 0 8.036 * [backup-simplify]: Simplify 1 into 1 8.036 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 8.036 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 8.036 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 8.036 * [taylor]: Taking taylor expansion of 0.5 in N 8.036 * [backup-simplify]: Simplify 0.5 into 0.5 8.036 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.036 * [taylor]: Taking taylor expansion of N in N 8.036 * [backup-simplify]: Simplify 0 into 0 8.036 * [backup-simplify]: Simplify 1 into 1 8.036 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 8.036 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 8.036 * [taylor]: Taking taylor expansion of 1.0 in N 8.036 * [backup-simplify]: Simplify 1.0 into 1.0 8.036 * [taylor]: Taking taylor expansion of N in N 8.036 * [backup-simplify]: Simplify 0 into 0 8.036 * [backup-simplify]: Simplify 1 into 1 8.036 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 8.036 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 8.036 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.036 * [taylor]: Taking taylor expansion of (pow N 3) in N 8.036 * [taylor]: Taking taylor expansion of N in N 8.036 * [backup-simplify]: Simplify 0 into 0 8.036 * [backup-simplify]: Simplify 1 into 1 8.036 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.037 * [backup-simplify]: Simplify (+ 0 0) into 0 8.037 * [backup-simplify]: Simplify (+ 0 0) into 0 8.037 * [backup-simplify]: Simplify (- 0) into 0 8.037 * [backup-simplify]: Simplify 0 into 0 8.038 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 8.038 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.039 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.039 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 8.039 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 8.039 * [backup-simplify]: Simplify (* 1 1) into 1 8.040 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.040 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 8.040 * [backup-simplify]: Simplify (+ 0 0) into 0 8.041 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 8.041 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 8.041 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 8.042 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.042 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 8.043 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.043 * [backup-simplify]: Simplify (* 1 1) into 1 8.043 * [backup-simplify]: Simplify (* 1 1) into 1 8.043 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 8.044 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 8.044 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 8.044 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 8.044 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 8.045 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 (- N)) 3)) (+ (* (- 0.5) (pow (/ 1 (- N)) 2)) (* (- 1.0) (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 8.046 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 8.046 * [backup-simplify]: Simplify (* (/ 1 N) (- 1.0 (/ 0.5 N))) into (/ (- 1.0 (* 0.5 (/ 1 N))) N) 8.046 * [approximate]: Taking taylor expansion of (/ (- 1.0 (* 0.5 (/ 1 N))) N) in (N) around 0 8.046 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 0.5 (/ 1 N))) N) in N 8.046 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 N))) in N 8.046 * [taylor]: Taking taylor expansion of 1.0 in N 8.046 * [backup-simplify]: Simplify 1.0 into 1.0 8.046 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 N)) in N 8.046 * [taylor]: Taking taylor expansion of 0.5 in N 8.046 * [backup-simplify]: Simplify 0.5 into 0.5 8.046 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.046 * [taylor]: Taking taylor expansion of N in N 8.046 * [backup-simplify]: Simplify 0 into 0 8.046 * [backup-simplify]: Simplify 1 into 1 8.046 * [backup-simplify]: Simplify (/ 1 1) into 1 8.046 * [taylor]: Taking taylor expansion of N in N 8.046 * [backup-simplify]: Simplify 0 into 0 8.046 * [backup-simplify]: Simplify 1 into 1 8.047 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.047 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 8.047 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 8.048 * [backup-simplify]: Simplify (/ (- 0.5) 1) into -0.5 8.048 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 0.5 (/ 1 N))) N) in N 8.048 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 N))) in N 8.048 * [taylor]: Taking taylor expansion of 1.0 in N 8.048 * [backup-simplify]: Simplify 1.0 into 1.0 8.048 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 N)) in N 8.048 * [taylor]: Taking taylor expansion of 0.5 in N 8.048 * [backup-simplify]: Simplify 0.5 into 0.5 8.048 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.048 * [taylor]: Taking taylor expansion of N in N 8.048 * [backup-simplify]: Simplify 0 into 0 8.048 * [backup-simplify]: Simplify 1 into 1 8.048 * [backup-simplify]: Simplify (/ 1 1) into 1 8.048 * [taylor]: Taking taylor expansion of N in N 8.048 * [backup-simplify]: Simplify 0 into 0 8.048 * [backup-simplify]: Simplify 1 into 1 8.049 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.049 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 8.049 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 8.050 * [backup-simplify]: Simplify (/ (- 0.5) 1) into -0.5 8.050 * [backup-simplify]: Simplify -0.5 into -0.5 8.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.051 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 8.051 * [backup-simplify]: Simplify (- 0) into 0 8.051 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.053 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -0.5 (/ 0 1)))) into 1.0 8.053 * [backup-simplify]: Simplify 1.0 into 1.0 8.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.054 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 8.054 * [backup-simplify]: Simplify (- 0) into 0 8.054 * [backup-simplify]: Simplify (+ 0 0) into 0 8.055 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -0.5 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 8.055 * [backup-simplify]: Simplify 0 into 0 8.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.057 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.058 * [backup-simplify]: Simplify (- 0) into 0 8.058 * [backup-simplify]: Simplify (+ 0 0) into 0 8.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -0.5 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.059 * [backup-simplify]: Simplify 0 into 0 8.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.062 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.062 * [backup-simplify]: Simplify (- 0) into 0 8.062 * [backup-simplify]: Simplify (+ 0 0) into 0 8.064 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -0.5 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.064 * [backup-simplify]: Simplify 0 into 0 8.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.066 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.067 * [backup-simplify]: Simplify (- 0) into 0 8.067 * [backup-simplify]: Simplify (+ 0 0) into 0 8.068 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -0.5 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.068 * [backup-simplify]: Simplify 0 into 0 8.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.071 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.071 * [backup-simplify]: Simplify (- 0) into 0 8.071 * [backup-simplify]: Simplify (+ 0 0) into 0 8.072 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -0.5 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.072 * [backup-simplify]: Simplify 0 into 0 8.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.074 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 8.074 * [backup-simplify]: Simplify (- 0) into 0 8.074 * [backup-simplify]: Simplify (+ 0 0) into 0 8.075 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -0.5 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.075 * [backup-simplify]: Simplify 0 into 0 8.075 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) (* -0.5 (pow (/ 1 N) 2))) into (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) 8.075 * [backup-simplify]: Simplify (* (/ 1 (/ 1 N)) (- 1.0 (/ 0.5 (/ 1 N)))) into (* (- 1.0 (* 0.5 N)) N) 8.075 * [approximate]: Taking taylor expansion of (* (- 1.0 (* 0.5 N)) N) in (N) around 0 8.075 * [taylor]: Taking taylor expansion of (* (- 1.0 (* 0.5 N)) N) in N 8.075 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 N)) in N 8.075 * [taylor]: Taking taylor expansion of 1.0 in N 8.075 * [backup-simplify]: Simplify 1.0 into 1.0 8.075 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 8.075 * [taylor]: Taking taylor expansion of 0.5 in N 8.075 * [backup-simplify]: Simplify 0.5 into 0.5 8.075 * [taylor]: Taking taylor expansion of N in N 8.075 * [backup-simplify]: Simplify 0 into 0 8.075 * [backup-simplify]: Simplify 1 into 1 8.075 * [taylor]: Taking taylor expansion of N in N 8.075 * [backup-simplify]: Simplify 0 into 0 8.075 * [backup-simplify]: Simplify 1 into 1 8.075 * [taylor]: Taking taylor expansion of (* (- 1.0 (* 0.5 N)) N) in N 8.075 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 N)) in N 8.075 * [taylor]: Taking taylor expansion of 1.0 in N 8.075 * [backup-simplify]: Simplify 1.0 into 1.0 8.075 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 8.075 * [taylor]: Taking taylor expansion of 0.5 in N 8.075 * [backup-simplify]: Simplify 0.5 into 0.5 8.076 * [taylor]: Taking taylor expansion of N in N 8.076 * [backup-simplify]: Simplify 0 into 0 8.076 * [backup-simplify]: Simplify 1 into 1 8.076 * [taylor]: Taking taylor expansion of N in N 8.076 * [backup-simplify]: Simplify 0 into 0 8.076 * [backup-simplify]: Simplify 1 into 1 8.076 * [backup-simplify]: Simplify (* 0.5 0) into 0 8.076 * [backup-simplify]: Simplify (- 0) into 0 8.076 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.077 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.077 * [backup-simplify]: Simplify 0 into 0 8.078 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 8.078 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 8.078 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 8.079 * [backup-simplify]: Simplify (+ (* 1.0 1) (* (- 0.5) 0)) into 1.0 8.079 * [backup-simplify]: Simplify 1.0 into 1.0 8.080 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 8.080 * [backup-simplify]: Simplify (- 0) into 0 8.080 * [backup-simplify]: Simplify (+ 0 0) into 0 8.082 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* (- 0.5) 1) (* 0 0))) into (- 0.5) 8.083 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 8.083 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.084 * [backup-simplify]: Simplify (- 0) into 0 8.084 * [backup-simplify]: Simplify (+ 0 0) into 0 8.085 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* (- 0.5) 0) (+ (* 0 1) (* 0 0)))) into 0 8.085 * [backup-simplify]: Simplify 0 into 0 8.085 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.086 * [backup-simplify]: Simplify (- 0) into 0 8.086 * [backup-simplify]: Simplify (+ 0 0) into 0 8.087 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* (- 0.5) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.087 * [backup-simplify]: Simplify 0 into 0 8.088 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 8.088 * [backup-simplify]: Simplify (- 0) into 0 8.088 * [backup-simplify]: Simplify (+ 0 0) into 0 8.089 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* (- 0.5) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 8.089 * [backup-simplify]: Simplify 0 into 0 8.090 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 8.091 * [backup-simplify]: Simplify (- 0) into 0 8.091 * [backup-simplify]: Simplify (+ 0 0) into 0 8.092 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* (- 0.5) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 8.092 * [backup-simplify]: Simplify 0 into 0 8.093 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 8.093 * [backup-simplify]: Simplify (- 0) into 0 8.093 * [backup-simplify]: Simplify (+ 0 0) into 0 8.095 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* (- 0.5) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 8.095 * [backup-simplify]: Simplify 0 into 0 8.096 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 8.096 * [backup-simplify]: Simplify (- 0) into 0 8.096 * [backup-simplify]: Simplify (+ 0 0) into 0 8.098 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* (- 0.5) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 8.098 * [backup-simplify]: Simplify 0 into 0 8.098 * [backup-simplify]: Simplify (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 1.0 (/ 1 N))) into (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) 8.098 * [backup-simplify]: Simplify (* (/ 1 (/ 1 (- N))) (- 1.0 (/ 0.5 (/ 1 (- N))))) into (* -1 (* N (+ (* 0.5 N) 1.0))) 8.098 * [approximate]: Taking taylor expansion of (* -1 (* N (+ (* 0.5 N) 1.0))) in (N) around 0 8.098 * [taylor]: Taking taylor expansion of (* -1 (* N (+ (* 0.5 N) 1.0))) in N 8.098 * [taylor]: Taking taylor expansion of -1 in N 8.098 * [backup-simplify]: Simplify -1 into -1 8.098 * [taylor]: Taking taylor expansion of (* N (+ (* 0.5 N) 1.0)) in N 8.098 * [taylor]: Taking taylor expansion of N in N 8.099 * [backup-simplify]: Simplify 0 into 0 8.099 * [backup-simplify]: Simplify 1 into 1 8.099 * [taylor]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in N 8.099 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 8.099 * [taylor]: Taking taylor expansion of 0.5 in N 8.099 * [backup-simplify]: Simplify 0.5 into 0.5 8.099 * [taylor]: Taking taylor expansion of N in N 8.099 * [backup-simplify]: Simplify 0 into 0 8.099 * [backup-simplify]: Simplify 1 into 1 8.099 * [taylor]: Taking taylor expansion of 1.0 in N 8.099 * [backup-simplify]: Simplify 1.0 into 1.0 8.099 * [taylor]: Taking taylor expansion of (* -1 (* N (+ (* 0.5 N) 1.0))) in N 8.099 * [taylor]: Taking taylor expansion of -1 in N 8.099 * [backup-simplify]: Simplify -1 into -1 8.099 * [taylor]: Taking taylor expansion of (* N (+ (* 0.5 N) 1.0)) in N 8.099 * [taylor]: Taking taylor expansion of N in N 8.099 * [backup-simplify]: Simplify 0 into 0 8.099 * [backup-simplify]: Simplify 1 into 1 8.099 * [taylor]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in N 8.099 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 8.099 * [taylor]: Taking taylor expansion of 0.5 in N 8.099 * [backup-simplify]: Simplify 0.5 into 0.5 8.099 * [taylor]: Taking taylor expansion of N in N 8.099 * [backup-simplify]: Simplify 0 into 0 8.099 * [backup-simplify]: Simplify 1 into 1 8.099 * [taylor]: Taking taylor expansion of 1.0 in N 8.099 * [backup-simplify]: Simplify 1.0 into 1.0 8.100 * [backup-simplify]: Simplify (* 0.5 0) into 0 8.100 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.101 * [backup-simplify]: Simplify (* 0 1.0) into 0 8.101 * [backup-simplify]: Simplify (* -1 0) into 0 8.101 * [backup-simplify]: Simplify 0 into 0 8.102 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 8.103 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 8.105 * [backup-simplify]: Simplify (+ (* 0 0.5) (* 1 1.0)) into 1.0 8.106 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 0 0)) into (- 1.0) 8.106 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 8.107 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 8.108 * [backup-simplify]: Simplify (+ 0 0) into 0 8.111 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0.5) (* 0 1.0))) into 0.5 8.113 * [backup-simplify]: Simplify (+ (* -1 0.5) (+ (* 0 1.0) (* 0 0))) into (- 0.5) 8.113 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 8.114 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.115 * [backup-simplify]: Simplify (+ 0 0) into 0 8.116 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0.5) (* 0 1.0)))) into 0 8.117 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0.5) (+ (* 0 1.0) (* 0 0)))) into 0 8.117 * [backup-simplify]: Simplify 0 into 0 8.119 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.119 * [backup-simplify]: Simplify (+ 0 0) into 0 8.121 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0.5) (* 0 1.0))))) into 0 8.122 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0.5) (+ (* 0 1.0) (* 0 0))))) into 0 8.122 * [backup-simplify]: Simplify 0 into 0 8.124 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 8.124 * [backup-simplify]: Simplify (+ 0 0) into 0 8.131 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.5) (* 0 1.0)))))) into 0 8.133 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.5) (+ (* 0 1.0) (* 0 0)))))) into 0 8.133 * [backup-simplify]: Simplify 0 into 0 8.134 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 8.135 * [backup-simplify]: Simplify (+ 0 0) into 0 8.136 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.5) (* 0 1.0))))))) into 0 8.137 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.5) (+ (* 0 1.0) (* 0 0))))))) into 0 8.138 * [backup-simplify]: Simplify 0 into 0 8.139 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 8.139 * [backup-simplify]: Simplify (+ 0 0) into 0 8.140 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.5) (* 0 1.0)))))))) into 0 8.141 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.5) (+ (* 0 1.0) (* 0 0)))))))) into 0 8.141 * [backup-simplify]: Simplify 0 into 0 8.143 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 8.143 * [backup-simplify]: Simplify (+ 0 0) into 0 8.144 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.5) (* 0 1.0))))))))) into 0 8.145 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.5) (+ (* 0 1.0) (* 0 0))))))))) into 0 8.145 * [backup-simplify]: Simplify 0 into 0 8.146 * [backup-simplify]: Simplify (+ (* (- 0.5) (pow (/ 1 (- N)) 2)) (* (- 1.0) (/ 1 (- N)))) into (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) 8.146 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 8.146 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow N 3)) into (/ 0.3333333333333333 (pow N 3)) 8.146 * [approximate]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in (N) around 0 8.146 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 8.147 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 8.147 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.147 * [taylor]: Taking taylor expansion of (pow N 3) in N 8.147 * [taylor]: Taking taylor expansion of N in N 8.147 * [backup-simplify]: Simplify 0 into 0 8.147 * [backup-simplify]: Simplify 1 into 1 8.147 * [backup-simplify]: Simplify (* 1 1) into 1 8.147 * [backup-simplify]: Simplify (* 1 1) into 1 8.147 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 8.147 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 8.147 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 8.147 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.147 * [taylor]: Taking taylor expansion of (pow N 3) in N 8.147 * [taylor]: Taking taylor expansion of N in N 8.147 * [backup-simplify]: Simplify 0 into 0 8.148 * [backup-simplify]: Simplify 1 into 1 8.148 * [backup-simplify]: Simplify (* 1 1) into 1 8.148 * [backup-simplify]: Simplify (* 1 1) into 1 8.148 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 8.148 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.149 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.149 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.150 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)))) into 0 8.150 * [backup-simplify]: Simplify 0 into 0 8.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.151 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.151 * [backup-simplify]: Simplify 0 into 0 8.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.153 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.153 * [backup-simplify]: Simplify 0 into 0 8.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.155 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.155 * [backup-simplify]: Simplify 0 into 0 8.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.157 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.157 * [backup-simplify]: Simplify 0 into 0 8.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.159 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.159 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.159 * [backup-simplify]: Simplify 0 into 0 8.160 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 8.160 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow (/ 1 N) 3)) into (* 0.3333333333333333 (pow N 3)) 8.160 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in (N) around 0 8.160 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 8.160 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 8.160 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.160 * [taylor]: Taking taylor expansion of (pow N 3) in N 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 8.160 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 8.160 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 8.160 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.160 * [taylor]: Taking taylor expansion of (pow N 3) in N 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 8.160 * [backup-simplify]: Simplify (* 1 1) into 1 8.161 * [backup-simplify]: Simplify (* 1 1) into 1 8.161 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 8.161 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.161 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.162 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.162 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 8.162 * [backup-simplify]: Simplify 0 into 0 8.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.164 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 8.164 * [backup-simplify]: Simplify 0 into 0 8.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.166 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.166 * [backup-simplify]: Simplify 0 into 0 8.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.168 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.168 * [backup-simplify]: Simplify 0 into 0 8.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.170 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.170 * [backup-simplify]: Simplify 0 into 0 8.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.172 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.173 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.173 * [backup-simplify]: Simplify 0 into 0 8.173 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 8.173 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow (/ 1 (- N)) 3)) into (* -0.3333333333333333 (pow N 3)) 8.173 * [approximate]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in (N) around 0 8.173 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 8.173 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 8.173 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 8.173 * [taylor]: Taking taylor expansion of (pow N 3) in N 8.173 * [taylor]: Taking taylor expansion of N in N 8.173 * [backup-simplify]: Simplify 0 into 0 8.173 * [backup-simplify]: Simplify 1 into 1 8.173 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 8.173 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 8.173 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 8.173 * [taylor]: Taking taylor expansion of (pow N 3) in N 8.173 * [taylor]: Taking taylor expansion of N in N 8.173 * [backup-simplify]: Simplify 0 into 0 8.173 * [backup-simplify]: Simplify 1 into 1 8.174 * [backup-simplify]: Simplify (* 1 1) into 1 8.174 * [backup-simplify]: Simplify (* 1 1) into 1 8.174 * [backup-simplify]: Simplify (* -0.3333333333333333 1) into -0.3333333333333333 8.174 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 8.174 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.175 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.175 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (* 0 1)) into 0 8.175 * [backup-simplify]: Simplify 0 into 0 8.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.177 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 8.177 * [backup-simplify]: Simplify 0 into 0 8.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.179 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.179 * [backup-simplify]: Simplify 0 into 0 8.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.181 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.181 * [backup-simplify]: Simplify 0 into 0 8.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.183 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.184 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.184 * [backup-simplify]: Simplify 0 into 0 8.185 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.185 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.186 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.187 * [backup-simplify]: Simplify 0 into 0 8.187 * [backup-simplify]: Simplify (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) into (/ 0.3333333333333333 (pow N 3)) 8.187 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 8.187 * [backup-simplify]: Simplify (- 1.0 (/ 0.5 N)) into (- 1.0 (* 0.5 (/ 1 N))) 8.187 * [approximate]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 N))) in (N) around 0 8.187 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 N))) in N 8.187 * [taylor]: Taking taylor expansion of 1.0 in N 8.187 * [backup-simplify]: Simplify 1.0 into 1.0 8.187 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 N)) in N 8.187 * [taylor]: Taking taylor expansion of 0.5 in N 8.187 * [backup-simplify]: Simplify 0.5 into 0.5 8.187 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.187 * [taylor]: Taking taylor expansion of N in N 8.187 * [backup-simplify]: Simplify 0 into 0 8.187 * [backup-simplify]: Simplify 1 into 1 8.187 * [backup-simplify]: Simplify (/ 1 1) into 1 8.187 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 N))) in N 8.187 * [taylor]: Taking taylor expansion of 1.0 in N 8.187 * [backup-simplify]: Simplify 1.0 into 1.0 8.187 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 N)) in N 8.187 * [taylor]: Taking taylor expansion of 0.5 in N 8.187 * [backup-simplify]: Simplify 0.5 into 0.5 8.187 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.187 * [taylor]: Taking taylor expansion of N in N 8.188 * [backup-simplify]: Simplify 0 into 0 8.188 * [backup-simplify]: Simplify 1 into 1 8.188 * [backup-simplify]: Simplify (/ 1 1) into 1 8.188 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.188 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 8.189 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 8.189 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 8.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.190 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 8.190 * [backup-simplify]: Simplify (- 0) into 0 8.191 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.191 * [backup-simplify]: Simplify 1.0 into 1.0 8.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.193 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 8.193 * [backup-simplify]: Simplify (- 0) into 0 8.193 * [backup-simplify]: Simplify (+ 0 0) into 0 8.194 * [backup-simplify]: Simplify 0 into 0 8.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.195 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.195 * [backup-simplify]: Simplify (- 0) into 0 8.195 * [backup-simplify]: Simplify (+ 0 0) into 0 8.195 * [backup-simplify]: Simplify 0 into 0 8.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.197 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.197 * [backup-simplify]: Simplify (- 0) into 0 8.197 * [backup-simplify]: Simplify (+ 0 0) into 0 8.197 * [backup-simplify]: Simplify 0 into 0 8.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.199 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.199 * [backup-simplify]: Simplify (- 0) into 0 8.199 * [backup-simplify]: Simplify (+ 0 0) into 0 8.199 * [backup-simplify]: Simplify 0 into 0 8.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.201 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.201 * [backup-simplify]: Simplify (- 0) into 0 8.201 * [backup-simplify]: Simplify (+ 0 0) into 0 8.201 * [backup-simplify]: Simplify 0 into 0 8.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.203 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 8.203 * [backup-simplify]: Simplify (- 0) into 0 8.203 * [backup-simplify]: Simplify (+ 0 0) into 0 8.203 * [backup-simplify]: Simplify 0 into 0 8.204 * [backup-simplify]: Simplify (+ 1.0 (* (- 0.5) (/ 1 N))) into (- 1.0 (* 0.5 (/ 1 N))) 8.204 * [backup-simplify]: Simplify (- 1.0 (/ 0.5 (/ 1 N))) into (- 1.0 (* 0.5 N)) 8.204 * [approximate]: Taking taylor expansion of (- 1.0 (* 0.5 N)) in (N) around 0 8.204 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 N)) in N 8.204 * [taylor]: Taking taylor expansion of 1.0 in N 8.204 * [backup-simplify]: Simplify 1.0 into 1.0 8.204 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 8.204 * [taylor]: Taking taylor expansion of 0.5 in N 8.204 * [backup-simplify]: Simplify 0.5 into 0.5 8.204 * [taylor]: Taking taylor expansion of N in N 8.204 * [backup-simplify]: Simplify 0 into 0 8.204 * [backup-simplify]: Simplify 1 into 1 8.204 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 N)) in N 8.204 * [taylor]: Taking taylor expansion of 1.0 in N 8.204 * [backup-simplify]: Simplify 1.0 into 1.0 8.204 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 8.204 * [taylor]: Taking taylor expansion of 0.5 in N 8.204 * [backup-simplify]: Simplify 0.5 into 0.5 8.204 * [taylor]: Taking taylor expansion of N in N 8.204 * [backup-simplify]: Simplify 0 into 0 8.204 * [backup-simplify]: Simplify 1 into 1 8.204 * [backup-simplify]: Simplify (* 0.5 0) into 0 8.205 * [backup-simplify]: Simplify (- 0) into 0 8.205 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.205 * [backup-simplify]: Simplify 1.0 into 1.0 8.206 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 8.206 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 8.207 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 8.207 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 8.208 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 8.208 * [backup-simplify]: Simplify (- 0) into 0 8.208 * [backup-simplify]: Simplify (+ 0 0) into 0 8.208 * [backup-simplify]: Simplify 0 into 0 8.209 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.209 * [backup-simplify]: Simplify (- 0) into 0 8.209 * [backup-simplify]: Simplify (+ 0 0) into 0 8.209 * [backup-simplify]: Simplify 0 into 0 8.210 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.210 * [backup-simplify]: Simplify (- 0) into 0 8.211 * [backup-simplify]: Simplify (+ 0 0) into 0 8.211 * [backup-simplify]: Simplify 0 into 0 8.211 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 8.212 * [backup-simplify]: Simplify (- 0) into 0 8.212 * [backup-simplify]: Simplify (+ 0 0) into 0 8.212 * [backup-simplify]: Simplify 0 into 0 8.213 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 8.213 * [backup-simplify]: Simplify (- 0) into 0 8.213 * [backup-simplify]: Simplify (+ 0 0) into 0 8.213 * [backup-simplify]: Simplify 0 into 0 8.214 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 8.215 * [backup-simplify]: Simplify (- 0) into 0 8.215 * [backup-simplify]: Simplify (+ 0 0) into 0 8.215 * [backup-simplify]: Simplify 0 into 0 8.215 * [backup-simplify]: Simplify (+ (* (- 0.5) (/ 1 N)) 1.0) into (- 1.0 (* 0.5 (/ 1 N))) 8.215 * [backup-simplify]: Simplify (- 1.0 (/ 0.5 (/ 1 (- N)))) into (+ (* 0.5 N) 1.0) 8.215 * [approximate]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in (N) around 0 8.215 * [taylor]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in N 8.215 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 8.215 * [taylor]: Taking taylor expansion of 0.5 in N 8.215 * [backup-simplify]: Simplify 0.5 into 0.5 8.215 * [taylor]: Taking taylor expansion of N in N 8.215 * [backup-simplify]: Simplify 0 into 0 8.215 * [backup-simplify]: Simplify 1 into 1 8.215 * [taylor]: Taking taylor expansion of 1.0 in N 8.215 * [backup-simplify]: Simplify 1.0 into 1.0 8.215 * [taylor]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in N 8.215 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 8.215 * [taylor]: Taking taylor expansion of 0.5 in N 8.215 * [backup-simplify]: Simplify 0.5 into 0.5 8.215 * [taylor]: Taking taylor expansion of N in N 8.216 * [backup-simplify]: Simplify 0 into 0 8.216 * [backup-simplify]: Simplify 1 into 1 8.216 * [taylor]: Taking taylor expansion of 1.0 in N 8.216 * [backup-simplify]: Simplify 1.0 into 1.0 8.216 * [backup-simplify]: Simplify (* 0.5 0) into 0 8.216 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.216 * [backup-simplify]: Simplify 1.0 into 1.0 8.217 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 8.217 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 8.217 * [backup-simplify]: Simplify 0.5 into 0.5 8.218 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 8.218 * [backup-simplify]: Simplify (+ 0 0) into 0 8.218 * [backup-simplify]: Simplify 0 into 0 8.219 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.219 * [backup-simplify]: Simplify (+ 0 0) into 0 8.219 * [backup-simplify]: Simplify 0 into 0 8.224 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.224 * [backup-simplify]: Simplify (+ 0 0) into 0 8.224 * [backup-simplify]: Simplify 0 into 0 8.225 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 8.226 * [backup-simplify]: Simplify (+ 0 0) into 0 8.226 * [backup-simplify]: Simplify 0 into 0 8.227 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 8.227 * [backup-simplify]: Simplify (+ 0 0) into 0 8.227 * [backup-simplify]: Simplify 0 into 0 8.228 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 8.228 * [backup-simplify]: Simplify (+ 0 0) into 0 8.228 * [backup-simplify]: Simplify 0 into 0 8.228 * [backup-simplify]: Simplify (+ (* 0.5 (/ 1 (- N))) 1.0) into (- 1.0 (* 0.5 (/ 1 N))) 8.228 * * * [progress]: simplifying candidates 8.231 * [simplify]: Simplifying: (* (exp (/ 0.3333333333333333 (pow N 3))) (exp (* (/ 1 N) (- 1.0 (/ 0.5 N))))) (log (+ (/ 0.3333333333333333 (pow N 3)) (* (/ 1 N) (- 1.0 (/ 0.5 N))))) (exp (+ (/ 0.3333333333333333 (pow N 3)) (* (/ 1 N) (- 1.0 (/ 0.5 N))))) (* (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (* (/ 1 N) (- 1.0 (/ 0.5 N))))) (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (* (/ 1 N) (- 1.0 (/ 0.5 N)))))) (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (* (/ 1 N) (- 1.0 (/ 0.5 N))))) (* (* (+ (/ 0.3333333333333333 (pow N 3)) (* (/ 1 N) (- 1.0 (/ 0.5 N)))) (+ (/ 0.3333333333333333 (pow N 3)) (* (/ 1 N) (- 1.0 (/ 0.5 N))))) (+ (/ 0.3333333333333333 (pow N 3)) (* (/ 1 N) (- 1.0 (/ 0.5 N))))) (sqrt (+ (/ 0.3333333333333333 (pow N 3)) (* (/ 1 N) (- 1.0 (/ 0.5 N))))) (sqrt (+ (/ 0.3333333333333333 (pow N 3)) (* (/ 1 N) (- 1.0 (/ 0.5 N))))) (+ (* 0.3333333333333333 (* N (+ (* 1.0 1.0) (+ (* (/ 0.5 N) (/ 0.5 N)) (* 1.0 (/ 0.5 N)))))) (* (pow N 3) (* 1 (- (pow 1.0 3) (pow (/ 0.5 N) 3))))) (* (pow N 3) (* N (+ (* 1.0 1.0) (+ (* (/ 0.5 N) (/ 0.5 N)) (* 1.0 (/ 0.5 N)))))) (+ (* 0.3333333333333333 (* N (+ 1.0 (/ 0.5 N)))) (* (pow N 3) (* 1 (- (* 1.0 1.0) (* (/ 0.5 N) (/ 0.5 N)))))) (* (pow N 3) (* N (+ 1.0 (/ 0.5 N)))) (+ (* 0.3333333333333333 (+ (* 1.0 1.0) (+ (* (/ 0.5 N) (/ 0.5 N)) (* 1.0 (/ 0.5 N))))) (* (pow N 3) (* (/ 1 N) (- (pow 1.0 3) (pow (/ 0.5 N) 3))))) (* (pow N 3) (+ (* 1.0 1.0) (+ (* (/ 0.5 N) (/ 0.5 N)) (* 1.0 (/ 0.5 N))))) (+ (* 0.3333333333333333 (+ 1.0 (/ 0.5 N))) (* (pow N 3) (* (/ 1 N) (- (* 1.0 1.0) (* (/ 0.5 N) (/ 0.5 N)))))) (* (pow N 3) (+ 1.0 (/ 0.5 N))) (+ (* 0.3333333333333333 N) (* (pow N 3) (* 1 (- 1.0 (/ 0.5 N))))) (* (pow N 3) N) (+ (pow (/ 0.3333333333333333 (pow N 3)) 3) (pow (* (/ 1 N) (- 1.0 (/ 0.5 N))) 3)) (+ (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (- (* (* (/ 1 N) (- 1.0 (/ 0.5 N))) (* (/ 1 N) (- 1.0 (/ 0.5 N)))) (* (/ 0.3333333333333333 (pow N 3)) (* (/ 1 N) (- 1.0 (/ 0.5 N)))))) (- (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (* (* (/ 1 N) (- 1.0 (/ 0.5 N))) (* (/ 1 N) (- 1.0 (/ 0.5 N))))) (- (/ 0.3333333333333333 (pow N 3)) (* (/ 1 N) (- 1.0 (/ 0.5 N)))) (+ (/ 0.3333333333333333 (* N N)) (- 1.0 (/ 0.5 N))) (+ (/ 0.3333333333333333 (pow N 3)) (* (/ 1 N) 1.0)) (+ (/ 0.3333333333333333 (pow N 3)) (* (/ 1 N) 1.0)) (+ (/ 0.3333333333333333 (pow N 3)) (* 1.0 (/ 1 N))) (+ (/ 0.3333333333333333 (pow N 3)) (* 1.0 (/ 1 N))) (* (/ 1 N) (- 1.0 (/ 0.5 N))) (+ (- (log N)) (log (- 1.0 (/ 0.5 N)))) (+ (- 0 (log N)) (log (- 1.0 (/ 0.5 N)))) (+ (- (log 1) (log N)) (log (- 1.0 (/ 0.5 N)))) (+ (log (/ 1 N)) (log (- 1.0 (/ 0.5 N)))) (log (* (/ 1 N) (- 1.0 (/ 0.5 N)))) (exp (* (/ 1 N) (- 1.0 (/ 0.5 N)))) (* (/ (* (* 1 1) 1) (* (* N N) N)) (* (* (- 1.0 (/ 0.5 N)) (- 1.0 (/ 0.5 N))) (- 1.0 (/ 0.5 N)))) (* (* (* (/ 1 N) (/ 1 N)) (/ 1 N)) (* (* (- 1.0 (/ 0.5 N)) (- 1.0 (/ 0.5 N))) (- 1.0 (/ 0.5 N)))) (* (cbrt (* (/ 1 N) (- 1.0 (/ 0.5 N)))) (cbrt (* (/ 1 N) (- 1.0 (/ 0.5 N))))) (cbrt (* (/ 1 N) (- 1.0 (/ 0.5 N)))) (* (* (* (/ 1 N) (- 1.0 (/ 0.5 N))) (* (/ 1 N) (- 1.0 (/ 0.5 N)))) (* (/ 1 N) (- 1.0 (/ 0.5 N)))) (sqrt (* (/ 1 N) (- 1.0 (/ 0.5 N)))) (sqrt (* (/ 1 N) (- 1.0 (/ 0.5 N)))) (* 1 (- (pow 1.0 3) (pow (/ 0.5 N) 3))) (* N (+ (* 1.0 1.0) (+ (* (/ 0.5 N) (/ 0.5 N)) (* 1.0 (/ 0.5 N))))) (* 1 (- (* 1.0 1.0) (* (/ 0.5 N) (/ 0.5 N)))) (* N (+ 1.0 (/ 0.5 N))) (* (sqrt (/ 1 N)) (sqrt (- 1.0 (/ 0.5 N)))) (* (sqrt (/ 1 N)) (sqrt (- 1.0 (/ 0.5 N)))) (* (/ (sqrt 1) (sqrt N)) (sqrt (- 1.0 (/ 0.5 N)))) (* (/ (sqrt 1) (sqrt N)) (sqrt (- 1.0 (/ 0.5 N)))) (* (/ 1 (sqrt N)) (sqrt (- 1.0 (/ 0.5 N)))) (* (/ 1 (sqrt N)) (sqrt (- 1.0 (/ 0.5 N)))) (* (/ 1 N) 1.0) (* (/ 1 N) (- (/ 0.5 N))) (* (/ 1 N) 1.0) (* (/ 1 N) (- (/ 0.5 N))) (* 1.0 (/ 1 N)) (* (- (/ 0.5 N)) (/ 1 N)) (* 1.0 (/ 1 N)) (* (- (/ 0.5 N)) (/ 1 N)) (* (/ 1 N) (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N))))) (* (/ 1 N) (sqrt (- 1.0 (/ 0.5 N)))) (* (/ 1 N) 1) (* (/ 1 N) (+ (sqrt 1.0) (sqrt (/ 0.5 N)))) (* (/ 1 N) (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N)))) (* (/ 1 N) 1) (* (cbrt (/ 1 N)) (- 1.0 (/ 0.5 N))) (* (sqrt (/ 1 N)) (- 1.0 (/ 0.5 N))) (* (/ (cbrt 1) (cbrt N)) (- 1.0 (/ 0.5 N))) (* (/ (cbrt 1) (sqrt N)) (- 1.0 (/ 0.5 N))) (* (/ (cbrt 1) N) (- 1.0 (/ 0.5 N))) (* (/ (sqrt 1) (cbrt N)) (- 1.0 (/ 0.5 N))) (* (/ (sqrt 1) (sqrt N)) (- 1.0 (/ 0.5 N))) (* (/ (sqrt 1) N) (- 1.0 (/ 0.5 N))) (* (/ 1 (cbrt N)) (- 1.0 (/ 0.5 N))) (* (/ 1 (sqrt N)) (- 1.0 (/ 0.5 N))) (* (/ 1 N) (- 1.0 (/ 0.5 N))) (* (/ 1 N) (- 1.0 (/ 0.5 N))) (* (/ 1 N) (- 1.0 (/ 0.5 N))) (* (/ 1 N) (- (pow 1.0 3) (pow (/ 0.5 N) 3))) (* (/ 1 N) (- (* 1.0 1.0) (* (/ 0.5 N) (/ 0.5 N)))) (* 1 (- 1.0 (/ 0.5 N))) (- (log 0.3333333333333333) (* (log N) 3)) (- (log 0.3333333333333333) (* (log N) 3)) (- (log 0.3333333333333333) (log (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (exp (/ 0.3333333333333333 (pow N 3))) (/ (* (* 0.3333333333333333 0.3333333333333333) 0.3333333333333333) (* (* (pow N 3) (pow N 3)) (pow N 3))) (* (cbrt (/ 0.3333333333333333 (pow N 3))) (cbrt (/ 0.3333333333333333 (pow N 3)))) (cbrt (/ 0.3333333333333333 (pow N 3))) (* (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (/ 0.3333333333333333 (pow N 3))) (sqrt (/ 0.3333333333333333 (pow N 3))) (sqrt (/ 0.3333333333333333 (pow N 3))) (- 0.3333333333333333) (- (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (* (cbrt N) (cbrt N)) 3)) (/ (cbrt 0.3333333333333333) (pow (cbrt N) 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (sqrt N) 3)) (/ (cbrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow 1 3)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* N N)) (/ (cbrt 0.3333333333333333) N) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ (cbrt 0.3333333333333333) (cbrt (pow N 3))) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (* (cbrt N) (cbrt N)) 3)) (/ (cbrt 0.3333333333333333) (pow (cbrt N) 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (sqrt N) 3)) (/ (cbrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow 1 3)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) N) (/ (cbrt 0.3333333333333333) (* N N)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (sqrt (pow N 3))) (/ (cbrt 0.3333333333333333) (sqrt (pow N 3))) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) 1) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow N (/ 3 2))) (/ (cbrt 0.3333333333333333) (pow N (/ 3 2))) (/ (sqrt 0.3333333333333333) (pow (* (cbrt N) (cbrt N)) 3)) (/ (sqrt 0.3333333333333333) (pow (cbrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow 1 3)) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ (sqrt 0.3333333333333333) (cbrt (pow N 3))) (/ (sqrt 0.3333333333333333) (pow (* (cbrt N) (cbrt N)) 3)) (/ (sqrt 0.3333333333333333) (pow (cbrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow 1 3)) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (/ (sqrt 0.3333333333333333) 1) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) (pow N (/ 3 2))) (/ (sqrt 0.3333333333333333) (pow N (/ 3 2))) (/ 1 (pow (* (cbrt N) (cbrt N)) 3)) (/ 0.3333333333333333 (pow (cbrt N) 3)) (/ 1 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) (/ 1 (pow 1 3)) (/ 0.3333333333333333 (pow N 3)) (/ 1 (* N N)) (/ 0.3333333333333333 N) (/ 1 (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ 0.3333333333333333 (cbrt (pow N 3))) (/ 1 (pow (* (cbrt N) (cbrt N)) 3)) (/ 0.3333333333333333 (pow (cbrt N) 3)) (/ 1 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) (/ 1 (pow 1 3)) (/ 0.3333333333333333 (pow N 3)) (/ 1 N) (/ 0.3333333333333333 (* N N)) (/ 1 (sqrt (pow N 3))) (/ 0.3333333333333333 (sqrt (pow N 3))) (/ 1 1) (/ 0.3333333333333333 (pow N 3)) (/ 1 (pow N (/ 3 2))) (/ 0.3333333333333333 (pow N (/ 3 2))) (/ 1 (pow N 3)) (/ (pow N 3) 0.3333333333333333) (/ 0.3333333333333333 (pow (* (cbrt N) (cbrt N)) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow 1 3)) (/ 0.3333333333333333 (* N N)) (/ 0.3333333333333333 (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ 0.3333333333333333 (pow (* (cbrt N) (cbrt N)) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow 1 3)) (/ 0.3333333333333333 N) (/ 0.3333333333333333 (sqrt (pow N 3))) (/ 0.3333333333333333 1) (/ 0.3333333333333333 (pow N (/ 3 2))) (/ (pow N 3) (cbrt 0.3333333333333333)) (/ (pow N 3) (sqrt 0.3333333333333333)) (/ (pow N 3) 0.3333333333333333) (/ (exp 1.0) (exp (/ 0.5 N))) (log (- 1.0 (/ 0.5 N))) (exp (- 1.0 (/ 0.5 N))) (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) (cbrt (- 1.0 (/ 0.5 N))) (* (* (- 1.0 (/ 0.5 N)) (- 1.0 (/ 0.5 N))) (- 1.0 (/ 0.5 N))) (sqrt (- 1.0 (/ 0.5 N))) (sqrt (- 1.0 (/ 0.5 N))) (- (pow 1.0 3) (pow (/ 0.5 N) 3)) (+ (* 1.0 1.0) (+ (* (/ 0.5 N) (/ 0.5 N)) (* 1.0 (/ 0.5 N)))) (- (/ 0.5 N)) (- (* 1.0 1.0) (* (/ 0.5 N) (/ 0.5 N))) (+ 1.0 (/ 0.5 N)) (+ (sqrt 1.0) (sqrt (/ 0.5 N))) (- (sqrt 1.0) (sqrt (/ 0.5 N))) (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) (- (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) (- 1.0 (/ 0.5 N)) (- (/ 0.5 N)) (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (- 1.0 (* 0.5 (/ 1 N))) (- 1.0 (* 0.5 (/ 1 N))) (- 1.0 (* 0.5 (/ 1 N))) 8.233 * * [simplify]: iteration 0: 247 enodes 8.335 * * [simplify]: iteration 1: 680 enodes 9.455 * * [simplify]: iteration 2: 4891 enodes 11.061 * * [simplify]: iteration complete: 5002 enodes 11.061 * * [simplify]: Extracting #0: cost 109 inf + 0 11.063 * * [simplify]: Extracting #1: cost 1250 inf + 4 11.069 * * [simplify]: Extracting #2: cost 1959 inf + 518 11.076 * * [simplify]: Extracting #3: cost 1321 inf + 3890 11.091 * * [simplify]: Extracting #4: cost 436 inf + 11437 11.103 * * [simplify]: Extracting #5: cost 12 inf + 17064 11.115 * * [simplify]: Extracting #6: cost 0 inf + 16893 11.125 * * [simplify]: Extracting #7: cost 0 inf + 16838 11.132 * [simplify]: Simplified to: (exp (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N))) (log (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N))) (exp (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N))) (* (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N))) (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N)))) (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N))) (pow (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N)) 3) (sqrt (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N))) (sqrt (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N))) (+ (* 0.3333333333333333 (* N (+ (* (/ 0.5 N) (+ (/ 0.5 N) 1.0)) (* 1.0 1.0)))) (* (pow N 3) (- (pow 1.0 3) (pow (/ 0.5 N) 3)))) (* (* N (+ (* (/ 0.5 N) (+ (/ 0.5 N) 1.0)) (* 1.0 1.0))) (pow N 3)) (+ (* 0.3333333333333333 (* N (+ 1.0 (/ 0.5 N)))) (* (* (- 1.0 (/ 0.5 N)) (+ (/ 0.5 N) 1.0)) (pow N 3))) (* (* N (+ 1.0 (/ 0.5 N))) (pow N 3)) (+ (* (+ (* (/ 0.5 N) (+ (/ 0.5 N) 1.0)) (* 1.0 1.0)) 0.3333333333333333) (* (pow N 3) (/ (- (pow 1.0 3) (pow (/ 0.5 N) 3)) N))) (* (pow N 3) (+ (* (/ 0.5 N) (+ (/ 0.5 N) 1.0)) (* 1.0 1.0))) (+ (* 0.3333333333333333 (+ 1.0 (/ 0.5 N))) (* (pow N 3) (/ (* (- 1.0 (/ 0.5 N)) (+ (/ 0.5 N) 1.0)) N))) (* (pow N 3) (+ 1.0 (/ 0.5 N))) (+ (* (- 1.0 (/ 0.5 N)) (pow N 3)) (* N 0.3333333333333333)) (pow N 4) (+ (pow (/ 0.3333333333333333 (pow N 3)) 3) (pow (/ (- 1.0 (/ 0.5 N)) N) 3)) (+ (/ (* 0.3333333333333333 0.3333333333333333) (pow N 6)) (/ (* (- 1.0 (/ 0.5 N)) (- (/ (- 1.0 (/ 0.5 N)) N) (/ 0.3333333333333333 (pow N 3)))) N)) (- (/ (* 0.3333333333333333 0.3333333333333333) (pow N 6)) (* (/ (- 1.0 (/ 0.5 N)) N) (/ (- 1.0 (/ 0.5 N)) N))) (- (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N)) (- (+ 1.0 (/ 0.3333333333333333 (* N N))) (/ 0.5 N)) (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (/ (- 1.0 (/ 0.5 N)) N) (log (/ (- 1.0 (/ 0.5 N)) N)) (log (/ (- 1.0 (/ 0.5 N)) N)) (log (/ (- 1.0 (/ 0.5 N)) N)) (log (/ (- 1.0 (/ 0.5 N)) N)) (log (/ (- 1.0 (/ 0.5 N)) N)) (exp (/ (- 1.0 (/ 0.5 N)) N)) (/ (pow (- 1.0 (/ 0.5 N)) 3) (pow N 3)) (pow (/ (- 1.0 (/ 0.5 N)) N) 3) (* (cbrt (/ (- 1.0 (/ 0.5 N)) N)) (cbrt (/ (- 1.0 (/ 0.5 N)) N))) (cbrt (/ (- 1.0 (/ 0.5 N)) N)) (pow (/ (- 1.0 (/ 0.5 N)) N) 3) (sqrt (/ (- 1.0 (/ 0.5 N)) N)) (sqrt (/ (- 1.0 (/ 0.5 N)) N)) (- (pow 1.0 3) (pow (/ 0.5 N) 3)) (* N (+ (* (/ 0.5 N) (+ (/ 0.5 N) 1.0)) (* 1.0 1.0))) (* (- 1.0 (/ 0.5 N)) (+ (/ 0.5 N) 1.0)) (* N (+ 1.0 (/ 0.5 N))) (* (sqrt (/ 1 N)) (sqrt (- 1.0 (/ 0.5 N)))) (* (sqrt (/ 1 N)) (sqrt (- 1.0 (/ 0.5 N)))) (/ (sqrt (- 1.0 (/ 0.5 N))) (sqrt N)) (/ (sqrt (- 1.0 (/ 0.5 N))) (sqrt N)) (/ (sqrt (- 1.0 (/ 0.5 N))) (sqrt N)) (/ (sqrt (- 1.0 (/ 0.5 N))) (sqrt N)) (/ 1.0 N) (/ (- (/ 0.5 N)) N) (/ 1.0 N) (/ (- (/ 0.5 N)) N) (/ 1.0 N) (/ (- (/ 0.5 N)) N) (/ 1.0 N) (/ (- (/ 0.5 N)) N) (/ (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) N) (/ (sqrt (- 1.0 (/ 0.5 N))) N) (/ 1 N) (/ (+ (sqrt (/ 0.5 N)) (sqrt 1.0)) N) (/ (+ (/ (sqrt 0.5) (sqrt N)) (sqrt 1.0)) N) (/ 1 N) (* (cbrt (/ 1 N)) (- 1.0 (/ 0.5 N))) (* (- 1.0 (/ 0.5 N)) (sqrt (/ 1 N))) (/ (- 1.0 (/ 0.5 N)) (cbrt N)) (/ (- 1.0 (/ 0.5 N)) (sqrt N)) (/ (- 1.0 (/ 0.5 N)) N) (/ (- 1.0 (/ 0.5 N)) (cbrt N)) (/ (- 1.0 (/ 0.5 N)) (sqrt N)) (/ (- 1.0 (/ 0.5 N)) N) (/ (- 1.0 (/ 0.5 N)) (cbrt N)) (/ (- 1.0 (/ 0.5 N)) (sqrt N)) (/ (- 1.0 (/ 0.5 N)) N) (/ (- 1.0 (/ 0.5 N)) N) (/ (- 1.0 (/ 0.5 N)) N) (/ (- (pow 1.0 3) (pow (/ 0.5 N) 3)) N) (/ (* (- 1.0 (/ 0.5 N)) (+ (/ 0.5 N) 1.0)) N) (- 1.0 (/ 0.5 N)) (log (/ 0.3333333333333333 (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (exp (/ 0.3333333333333333 (pow N 3))) (pow (/ 0.3333333333333333 (pow N 3)) 3) (* (cbrt (/ 0.3333333333333333 (pow N 3))) (cbrt (/ 0.3333333333333333 (pow N 3)))) (cbrt (/ 0.3333333333333333 (pow N 3))) (pow (/ 0.3333333333333333 (pow N 3)) 3) (sqrt (/ 0.3333333333333333 (pow N 3))) (sqrt (/ 0.3333333333333333 (pow N 3))) (- 0.3333333333333333) (- (pow N 3)) (* (/ (cbrt 0.3333333333333333) N) (/ (cbrt 0.3333333333333333) N)) (/ (cbrt 0.3333333333333333) N) (/ (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (sqrt N)) N) (/ (cbrt 0.3333333333333333) (* (sqrt N) N)) (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) (pow N 3)) (* (/ (cbrt 0.3333333333333333) N) (/ (cbrt 0.3333333333333333) N)) (/ (cbrt 0.3333333333333333) N) (* (/ (cbrt 0.3333333333333333) N) (/ (cbrt 0.3333333333333333) N)) (/ (cbrt 0.3333333333333333) N) (* (/ (cbrt 0.3333333333333333) N) (/ (cbrt 0.3333333333333333) N)) (/ (cbrt 0.3333333333333333) N) (/ (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (sqrt N)) N) (/ (cbrt 0.3333333333333333) (* (sqrt N) N)) (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (cbrt 0.3333333333333333) (/ N (cbrt 0.3333333333333333))) (/ (/ (cbrt 0.3333333333333333) N) N) (* (/ (cbrt 0.3333333333333333) (sqrt (pow N 3))) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) (sqrt (pow N 3))) (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) (pow N 3)) (* (/ (cbrt 0.3333333333333333) (pow N 3/2)) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) (pow N 3/2)) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (/ (sqrt 0.3333333333333333) N) (sqrt N)) (/ (/ (sqrt 0.3333333333333333) N) (sqrt N)) (sqrt 0.3333333333333333) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (/ (sqrt 0.3333333333333333) N) (sqrt N)) (/ (/ (sqrt 0.3333333333333333) N) (sqrt N)) (sqrt 0.3333333333333333) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (sqrt 0.3333333333333333) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) (pow N 3/2)) (/ (sqrt 0.3333333333333333) (pow N 3/2)) (/ 1 (* N N)) (/ 0.3333333333333333 N) (/ (/ 1 N) (sqrt N)) (/ (/ 0.3333333333333333 N) (sqrt N)) 1 (/ 0.3333333333333333 (pow N 3)) (/ 1 (* N N)) (/ 0.3333333333333333 N) (/ 1 (* N N)) (/ 0.3333333333333333 N) (/ 1 (* N N)) (/ 0.3333333333333333 N) (/ (/ 1 N) (sqrt N)) (/ (/ 0.3333333333333333 N) (sqrt N)) 1 (/ 0.3333333333333333 (pow N 3)) (/ 1 N) (/ 0.3333333333333333 (* N N)) (/ 1 (sqrt (pow N 3))) (/ 0.3333333333333333 (sqrt (pow N 3))) 1 (/ 0.3333333333333333 (pow N 3)) (/ 1 (pow N 3/2)) (/ 0.3333333333333333 (pow N 3/2)) (/ 1 (pow N 3)) (/ (pow N 3) 0.3333333333333333) (/ 0.3333333333333333 (* N N)) (/ (/ 0.3333333333333333 N) (sqrt N)) 0.3333333333333333 (/ 0.3333333333333333 (* N N)) (/ 0.3333333333333333 (* N N)) (/ 0.3333333333333333 (* N N)) (/ (/ 0.3333333333333333 N) (sqrt N)) 0.3333333333333333 (/ 0.3333333333333333 N) (/ 0.3333333333333333 (sqrt (pow N 3))) 0.3333333333333333 (/ 0.3333333333333333 (pow N 3/2)) (/ (pow N 3) (cbrt 0.3333333333333333)) (/ (pow N 3) (sqrt 0.3333333333333333)) (/ (pow N 3) 0.3333333333333333) (exp (- 1.0 (/ 0.5 N))) (log (- 1.0 (/ 0.5 N))) (exp (- 1.0 (/ 0.5 N))) (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) (cbrt (- 1.0 (/ 0.5 N))) (pow (- 1.0 (/ 0.5 N)) 3) (sqrt (- 1.0 (/ 0.5 N))) (sqrt (- 1.0 (/ 0.5 N))) (- (pow 1.0 3) (pow (/ 0.5 N) 3)) (+ (* (/ 0.5 N) (+ (/ 0.5 N) 1.0)) (* 1.0 1.0)) (- (/ 0.5 N)) (* (- 1.0 (/ 0.5 N)) (+ (/ 0.5 N) 1.0)) (+ (/ 0.5 N) 1.0) (+ (sqrt (/ 0.5 N)) (sqrt 1.0)) (- (sqrt 1.0) (sqrt (/ 0.5 N))) (+ (/ (sqrt 0.5) (sqrt N)) (sqrt 1.0)) (- (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) (- 1.0 (/ 0.5 N)) (- (/ 0.5 N)) (- (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (/ (/ 0.5 N) N)) (- (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (/ (/ 0.5 N) N)) (- (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (/ (/ 0.5 N) N)) (- (/ 1.0 N) (/ (/ 0.5 N) N)) (- (/ 1.0 N) (/ (/ 0.5 N) N)) (- (/ 1.0 N) (/ (/ 0.5 N) N)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (- 1.0 (/ 0.5 N)) (- 1.0 (/ 0.5 N)) (- 1.0 (/ 0.5 N)) 11.133 * * * [progress]: adding candidates to table 11.683 * [progress]: [Phase 3 of 3] Extracting. 11.683 * * [regime]: Finding splitpoints for: (# # # # #) 11.685 * * * [regime-changes]: Trying 1 branch expressions: (N) 11.685 * * * * [regimes]: Trying to branch on N from (# # # # #) 11.764 * * * [regime]: Found split indices: #