23.396 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.096 * * * [progress]: [2/2] Setting up program. 0.102 * [progress]: [Phase 2 of 3] Improving. 0.103 * [simplify]: Simplifying: (- (log (+ N 1.0)) (log N)) 0.103 * * [simplify]: iteration 0: 6 enodes 0.104 * * [simplify]: iteration 1: 9 enodes 0.106 * * [simplify]: iteration 2: 10 enodes 0.108 * * [simplify]: iteration complete: 10 enodes 0.108 * * [simplify]: Extracting #0: cost 1 inf + 0 0.108 * * [simplify]: Extracting #1: cost 4 inf + 0 0.108 * * [simplify]: Extracting #2: cost 6 inf + 0 0.108 * * [simplify]: Extracting #3: cost 6 inf + 1 0.108 * * [simplify]: Extracting #4: cost 0 inf + 560 0.108 * [simplify]: Simplified to: (- (log (+ 1.0 N)) (log N)) 0.109 * * [progress]: iteration 1 / 4 0.109 * * * [progress]: picking best candidate 0.115 * * * * [pick]: Picked # 0.115 * * * [progress]: localizing error 0.128 * * * [progress]: generating rewritten candidates 0.129 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.133 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.169 * * * [progress]: generating series expansions 0.169 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.170 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 0.170 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.170 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.170 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.170 * [taylor]: Taking taylor expansion of N in N 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify 1 into 1 0.170 * [taylor]: Taking taylor expansion of 1.0 in N 0.170 * [backup-simplify]: Simplify 1.0 into 1.0 0.171 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.171 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.171 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.171 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.171 * [taylor]: Taking taylor expansion of N in N 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify 1 into 1 0.172 * [taylor]: Taking taylor expansion of 1.0 in N 0.172 * [backup-simplify]: Simplify 1.0 into 1.0 0.172 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.173 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.173 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.175 * [backup-simplify]: Simplify (+ 1 0) into 1 0.181 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.181 * [backup-simplify]: Simplify 1.0 into 1.0 0.182 * [backup-simplify]: Simplify (+ 0 0) into 0 0.195 * [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)) 0.196 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.198 * [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)))) 0.198 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 0.198 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.198 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.199 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.199 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.199 * [taylor]: Taking taylor expansion of N in N 0.199 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify 1 into 1 0.199 * [backup-simplify]: Simplify (/ 1 1) into 1 0.199 * [taylor]: Taking taylor expansion of 1.0 in N 0.199 * [backup-simplify]: Simplify 1.0 into 1.0 0.200 * [backup-simplify]: Simplify (+ 1 0) into 1 0.200 * [backup-simplify]: Simplify (log 1) into 0 0.200 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.200 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.200 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.200 * [taylor]: Taking taylor expansion of N in N 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify 1 into 1 0.201 * [backup-simplify]: Simplify (/ 1 1) into 1 0.201 * [taylor]: Taking taylor expansion of 1.0 in N 0.201 * [backup-simplify]: Simplify 1.0 into 1.0 0.201 * [backup-simplify]: Simplify (+ 1 0) into 1 0.201 * [backup-simplify]: Simplify (log 1) into 0 0.202 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.202 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.203 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.207 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.207 * [backup-simplify]: Simplify 1.0 into 1.0 0.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.208 * [backup-simplify]: Simplify (+ 0 0) into 0 0.214 * [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 0.215 * [backup-simplify]: Simplify -0.5 into -0.5 0.215 * [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)))) 0.215 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 0.215 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.215 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.215 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.215 * [taylor]: Taking taylor expansion of 1.0 in N 0.215 * [backup-simplify]: Simplify 1.0 into 1.0 0.215 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.215 * [taylor]: Taking taylor expansion of N in N 0.216 * [backup-simplify]: Simplify 0 into 0 0.216 * [backup-simplify]: Simplify 1 into 1 0.216 * [backup-simplify]: Simplify (/ 1 1) into 1 0.216 * [backup-simplify]: Simplify (- 1) into -1 0.217 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.217 * [backup-simplify]: Simplify (log -1) into (log -1) 0.217 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.217 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.217 * [taylor]: Taking taylor expansion of 1.0 in N 0.217 * [backup-simplify]: Simplify 1.0 into 1.0 0.217 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.218 * [taylor]: Taking taylor expansion of N in N 0.218 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify 1 into 1 0.218 * [backup-simplify]: Simplify (/ 1 1) into 1 0.218 * [backup-simplify]: Simplify (- 1) into -1 0.219 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.219 * [backup-simplify]: Simplify (log -1) into (log -1) 0.220 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.221 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.222 * [backup-simplify]: Simplify (- 0) into 0 0.222 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.230 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.230 * [backup-simplify]: Simplify -1.0 into -1.0 0.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.231 * [backup-simplify]: Simplify (- 0) into 0 0.232 * [backup-simplify]: Simplify (+ 0 0) into 0 0.244 * [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 0.244 * [backup-simplify]: Simplify -0.5 into -0.5 0.245 * [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)))) 0.245 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.245 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N)) 0.245 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.245 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.245 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.245 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.246 * [taylor]: Taking taylor expansion of N in N 0.246 * [backup-simplify]: Simplify 0 into 0 0.246 * [backup-simplify]: Simplify 1 into 1 0.246 * [taylor]: Taking taylor expansion of 1.0 in N 0.246 * [backup-simplify]: Simplify 1.0 into 1.0 0.246 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.247 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.247 * [taylor]: Taking taylor expansion of (log N) in N 0.247 * [taylor]: Taking taylor expansion of N in N 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify 1 into 1 0.247 * [backup-simplify]: Simplify (log 1) into 0 0.247 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.247 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.247 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.247 * [taylor]: Taking taylor expansion of N in N 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify 1 into 1 0.247 * [taylor]: Taking taylor expansion of 1.0 in N 0.247 * [backup-simplify]: Simplify 1.0 into 1.0 0.248 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.248 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.248 * [taylor]: Taking taylor expansion of (log N) in N 0.248 * [taylor]: Taking taylor expansion of N in N 0.248 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify 1 into 1 0.249 * [backup-simplify]: Simplify (log 1) into 0 0.249 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.249 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.250 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 0.250 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.251 * [backup-simplify]: Simplify (+ 1 0) into 1 0.258 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.259 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.260 * [backup-simplify]: Simplify (- 0) into 0 0.260 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.260 * [backup-simplify]: Simplify 1.0 into 1.0 0.261 * [backup-simplify]: Simplify (+ 0 0) into 0 0.272 * [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)) 0.275 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.276 * [backup-simplify]: Simplify (- 0) into 0 0.278 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.281 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.285 * [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))) 0.285 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 0.285 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.285 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.285 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.285 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.285 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.285 * [taylor]: Taking taylor expansion of N in N 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify 1 into 1 0.286 * [backup-simplify]: Simplify (/ 1 1) into 1 0.286 * [taylor]: Taking taylor expansion of 1.0 in N 0.286 * [backup-simplify]: Simplify 1.0 into 1.0 0.286 * [backup-simplify]: Simplify (+ 1 0) into 1 0.287 * [backup-simplify]: Simplify (log 1) into 0 0.287 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.287 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.287 * [taylor]: Taking taylor expansion of N in N 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify 1 into 1 0.287 * [backup-simplify]: Simplify (/ 1 1) into 1 0.288 * [backup-simplify]: Simplify (log 1) into 0 0.288 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.288 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.288 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.288 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.288 * [taylor]: Taking taylor expansion of N in N 0.288 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify 1 into 1 0.288 * [backup-simplify]: Simplify (/ 1 1) into 1 0.288 * [taylor]: Taking taylor expansion of 1.0 in N 0.288 * [backup-simplify]: Simplify 1.0 into 1.0 0.289 * [backup-simplify]: Simplify (+ 1 0) into 1 0.289 * [backup-simplify]: Simplify (log 1) into 0 0.289 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.289 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.289 * [taylor]: Taking taylor expansion of N in N 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify 1 into 1 0.290 * [backup-simplify]: Simplify (/ 1 1) into 1 0.291 * [backup-simplify]: Simplify (log 1) into 0 0.291 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.292 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.292 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.292 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.292 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.294 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.301 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.303 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.303 * [backup-simplify]: Simplify (- 0) into 0 0.303 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.303 * [backup-simplify]: Simplify 1.0 into 1.0 0.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.304 * [backup-simplify]: Simplify (+ 0 0) into 0 0.314 * [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 0.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.316 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.317 * [backup-simplify]: Simplify (- 0) into 0 0.317 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.317 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.318 * [backup-simplify]: Simplify (+ 0 0) into 0 0.328 * [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 0.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.331 * [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 0.332 * [backup-simplify]: Simplify (- 0) into 0 0.332 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.332 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.333 * [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)))) 0.333 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 0.333 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.333 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.333 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.333 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.333 * [taylor]: Taking taylor expansion of 1.0 in N 0.333 * [backup-simplify]: Simplify 1.0 into 1.0 0.333 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.333 * [taylor]: Taking taylor expansion of N in N 0.333 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify 1 into 1 0.333 * [backup-simplify]: Simplify (/ 1 1) into 1 0.334 * [backup-simplify]: Simplify (- 1) into -1 0.334 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.334 * [backup-simplify]: Simplify (log -1) into (log -1) 0.334 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.334 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.334 * [taylor]: Taking taylor expansion of -1 in N 0.334 * [backup-simplify]: Simplify -1 into -1 0.334 * [taylor]: Taking taylor expansion of N in N 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify 1 into 1 0.335 * [backup-simplify]: Simplify (/ -1 1) into -1 0.335 * [backup-simplify]: Simplify (log -1) into (log -1) 0.335 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.335 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.335 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.335 * [taylor]: Taking taylor expansion of 1.0 in N 0.335 * [backup-simplify]: Simplify 1.0 into 1.0 0.335 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.335 * [taylor]: Taking taylor expansion of N in N 0.335 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify 1 into 1 0.335 * [backup-simplify]: Simplify (/ 1 1) into 1 0.335 * [backup-simplify]: Simplify (- 1) into -1 0.336 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.336 * [backup-simplify]: Simplify (log -1) into (log -1) 0.336 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.336 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.336 * [taylor]: Taking taylor expansion of -1 in N 0.336 * [backup-simplify]: Simplify -1 into -1 0.336 * [taylor]: Taking taylor expansion of N in N 0.336 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify 1 into 1 0.336 * [backup-simplify]: Simplify (/ -1 1) into -1 0.337 * [backup-simplify]: Simplify (log -1) into (log -1) 0.337 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.338 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.338 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.339 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.339 * [backup-simplify]: Simplify 0 into 0 0.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.339 * [backup-simplify]: Simplify (- 0) into 0 0.340 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.345 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.346 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.348 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.348 * [backup-simplify]: Simplify (- 0) into 0 0.349 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 0.349 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.351 * [backup-simplify]: Simplify (- 0) into 0 0.351 * [backup-simplify]: Simplify (+ 0 0) into 0 0.363 * [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 0.364 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.367 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.368 * [backup-simplify]: Simplify (- 0) into 0 0.368 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.369 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.370 * [backup-simplify]: Simplify (- 0) into 0 0.371 * [backup-simplify]: Simplify (+ 0 0) into 0 0.384 * [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 0.385 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.388 * [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 0.388 * [backup-simplify]: Simplify (- 0) into 0 0.389 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 0.389 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.390 * [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)))) 0.390 * * * [progress]: simplifying candidates 0.391 * [simplify]: Simplifying: (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (exp (- (log (+ N 1.0)) (log N))) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (* (* (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N))) (- (log (+ N 1.0)) (log N))) (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 1.0)) (log N)))) (- (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (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)) (log (* (cbrt N) (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (- (log (+ N 1.0)) (log 1)) (- (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 N) (- (* 1.0 1.0) (* N 1.0)))) (log N)) (+ (log (- N 1.0)) (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)))) 0.392 * * [simplify]: iteration 0: 101 enodes 0.410 * * [simplify]: iteration 1: 213 enodes 0.485 * * [simplify]: iteration 2: 645 enodes 0.832 * * [simplify]: iteration 3: 2789 enodes 1.469 * * [simplify]: iteration complete: 5000 enodes 1.470 * * [simplify]: Extracting #0: cost 39 inf + 0 1.471 * * [simplify]: Extracting #1: cost 226 inf + 1 1.476 * * [simplify]: Extracting #2: cost 1205 inf + 2218 1.497 * * [simplify]: Extracting #3: cost 1055 inf + 66032 1.539 * * [simplify]: Extracting #4: cost 281 inf + 165283 1.575 * * [simplify]: Extracting #5: cost 84 inf + 204729 1.621 * * [simplify]: Extracting #6: cost 48 inf + 215212 1.663 * * [simplify]: Extracting #7: cost 11 inf + 221055 1.714 * * [simplify]: Extracting #8: cost 0 inf + 223838 1.751 * [simplify]: Simplified to: (log (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (log (cbrt (+ 1.0 N))) (log (sqrt (+ 1.0 N))) (log (sqrt (+ 1.0 N))) 0 (log (+ 1.0 N)) 0 (log (+ 1.0 N)) (log (+ (* (* N N) N) (* (* 1.0 1.0) 1.0))) (log (+ (* N N) (* 1.0 (- 1.0 N)))) (log (* (+ N 1.0) (- N 1.0))) (log (- N 1.0)) (log (+ 1.0 N)) (log (log (+ 1.0 N))) (+ 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))) (/ (+ 1.0 N) 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))) (- (* (* (log (+ 1.0 N)) (log (+ 1.0 N))) (log (+ 1.0 N))) (* (log N) (* (log N) (log N)))) (+ (* (log N) (+ (log (+ 1.0 N)) (log N))) (* (log (+ 1.0 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))) (+ (sqrt (log N)) (sqrt (log (+ 1.0 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))) (log (cbrt N))) (- (log (+ 1.0 N)) (log (sqrt N))) (log (+ 1.0 N)) (- (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 N) (log (+ (* N N) (* 1.0 (- 1.0 N))))) (+ (log (- N 1.0)) (log N)) (- (log N)) (- (+ (log 1.0) (* N 1.0)) (* (/ N 1.0) (* (/ N 1.0) 1/2))) (+ (/ 1.0 N) (- (log N) (/ 0.5 (* N N)))) (+ (/ 1.0 N) (- (log N) (/ 0.5 (* N N)))) (- (+ (log 1.0) (* N 1.0)) (+ (log N) (* (/ N 1.0) (* (/ N 1.0) 1/2)))) (- (/ 1.0 N) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (- (/ 1.0 N) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) 1.753 * * * [progress]: adding candidates to table 1.967 * * [progress]: iteration 2 / 4 1.967 * * * [progress]: picking best candidate 1.977 * * * * [pick]: Picked # 1.977 * * * [progress]: localizing error 2.007 * * * [progress]: generating rewritten candidates 2.007 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 2.065 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 2.072 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 2.083 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 2.189 * * * [progress]: generating series expansions 2.189 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 2.189 * [backup-simplify]: Simplify (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) into (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) 2.189 * [approximate]: Taking taylor expansion of (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) in (N) around 0 2.189 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) in N 2.189 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 2.189 * [taylor]: Taking taylor expansion of 0.5 in N 2.189 * [backup-simplify]: Simplify 0.5 into 0.5 2.189 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.189 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.190 * [taylor]: Taking taylor expansion of N in N 2.190 * [backup-simplify]: Simplify 0 into 0 2.190 * [backup-simplify]: Simplify 1 into 1 2.191 * [backup-simplify]: Simplify (* 1 1) into 1 2.191 * [backup-simplify]: Simplify (/ 1 1) into 1 2.191 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 2.191 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.191 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.191 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 2.191 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.191 * [taylor]: Taking taylor expansion of N in N 2.191 * [backup-simplify]: Simplify 0 into 0 2.192 * [backup-simplify]: Simplify 1 into 1 2.192 * [backup-simplify]: Simplify (* 1 1) into 1 2.193 * [backup-simplify]: Simplify (* 1 1) into 1 2.193 * [backup-simplify]: Simplify (/ 1 1) into 1 2.193 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) in N 2.193 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 2.193 * [taylor]: Taking taylor expansion of 0.5 in N 2.193 * [backup-simplify]: Simplify 0.5 into 0.5 2.193 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.193 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.193 * [taylor]: Taking taylor expansion of N in N 2.193 * [backup-simplify]: Simplify 0 into 0 2.193 * [backup-simplify]: Simplify 1 into 1 2.194 * [backup-simplify]: Simplify (* 1 1) into 1 2.194 * [backup-simplify]: Simplify (/ 1 1) into 1 2.194 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 2.194 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.194 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.194 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 2.194 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.194 * [taylor]: Taking taylor expansion of N in N 2.194 * [backup-simplify]: Simplify 0 into 0 2.194 * [backup-simplify]: Simplify 1 into 1 2.195 * [backup-simplify]: Simplify (* 1 1) into 1 2.195 * [backup-simplify]: Simplify (* 1 1) into 1 2.196 * [backup-simplify]: Simplify (/ 1 1) into 1 2.196 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 2.197 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 2.198 * [backup-simplify]: Simplify (+ 0 (- 0.3333333333333333)) into (- 0.3333333333333333) 2.198 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 2.198 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 2.199 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.199 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.200 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 2.200 * [backup-simplify]: Simplify (- 0) into 0 2.201 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 2.201 * [backup-simplify]: Simplify 0.5 into 0.5 2.201 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.202 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 2.203 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.203 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.204 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 2.205 * [backup-simplify]: Simplify (- 0) into 0 2.205 * [backup-simplify]: Simplify (+ 0 0) into 0 2.205 * [backup-simplify]: Simplify 0 into 0 2.205 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.207 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 2.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.209 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.210 * [backup-simplify]: Simplify (- 0) into 0 2.210 * [backup-simplify]: Simplify (+ 0 0) into 0 2.210 * [backup-simplify]: Simplify 0 into 0 2.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.215 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.216 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.219 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.219 * [backup-simplify]: Simplify (- 0) into 0 2.220 * [backup-simplify]: Simplify (+ 0 0) into 0 2.220 * [backup-simplify]: Simplify 0 into 0 2.220 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.222 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.224 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.225 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.226 * [backup-simplify]: Simplify (- 0) into 0 2.226 * [backup-simplify]: Simplify (+ 0 0) into 0 2.226 * [backup-simplify]: Simplify 0 into 0 2.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.230 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.232 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.234 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.237 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.237 * [backup-simplify]: Simplify (- 0) into 0 2.238 * [backup-simplify]: Simplify (+ 0 0) into 0 2.238 * [backup-simplify]: Simplify 0 into 0 2.239 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.242 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 2.246 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) 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)))) into 0 2.249 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 2.249 * [backup-simplify]: Simplify (- 0) into 0 2.249 * [backup-simplify]: Simplify (+ 0 0) into 0 2.249 * [backup-simplify]: Simplify 0 into 0 2.250 * [backup-simplify]: Simplify (+ (* 0.5 (pow (/ 1 N) 2)) (* (- 0.3333333333333333) (pow (/ 1 N) 3))) into (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) 2.251 * [backup-simplify]: Simplify (- (/ 0.5 (* (/ 1 N) (/ 1 N))) (/ (/ 0.3333333333333333 (/ 1 N)) (* (/ 1 N) (/ 1 N)))) into (- (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))) 2.251 * [approximate]: Taking taylor expansion of (- (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))) in (N) around 0 2.251 * [taylor]: Taking taylor expansion of (- (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))) in N 2.251 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.251 * [taylor]: Taking taylor expansion of 0.5 in N 2.251 * [backup-simplify]: Simplify 0.5 into 0.5 2.251 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.251 * [taylor]: Taking taylor expansion of N in N 2.251 * [backup-simplify]: Simplify 0 into 0 2.251 * [backup-simplify]: Simplify 1 into 1 2.251 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 2.251 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.251 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.251 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.251 * [taylor]: Taking taylor expansion of N in N 2.251 * [backup-simplify]: Simplify 0 into 0 2.252 * [backup-simplify]: Simplify 1 into 1 2.252 * [taylor]: Taking taylor expansion of (- (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))) in N 2.252 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.252 * [taylor]: Taking taylor expansion of 0.5 in N 2.252 * [backup-simplify]: Simplify 0.5 into 0.5 2.252 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.252 * [taylor]: Taking taylor expansion of N in N 2.252 * [backup-simplify]: Simplify 0 into 0 2.252 * [backup-simplify]: Simplify 1 into 1 2.252 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 2.252 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.252 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.252 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.252 * [taylor]: Taking taylor expansion of N in N 2.252 * [backup-simplify]: Simplify 0 into 0 2.252 * [backup-simplify]: Simplify 1 into 1 2.252 * [backup-simplify]: Simplify (* 1 1) into 1 2.253 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 2.253 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 2.254 * [backup-simplify]: Simplify 0.5 into 0.5 2.254 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.255 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 2.256 * [backup-simplify]: Simplify (* 1 1) into 1 2.256 * [backup-simplify]: Simplify (* 1 1) into 1 2.256 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 2.257 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 2.258 * [backup-simplify]: Simplify (+ 0 (- 0.3333333333333333)) into (- 0.3333333333333333) 2.258 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 2.259 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.260 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 2.261 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.261 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.262 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 2.262 * [backup-simplify]: Simplify (- 0) into 0 2.263 * [backup-simplify]: Simplify (+ 0 0) into 0 2.263 * [backup-simplify]: Simplify 0 into 0 2.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.265 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.267 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.268 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 2.268 * [backup-simplify]: Simplify (- 0) into 0 2.268 * [backup-simplify]: Simplify (+ 0 0) into 0 2.268 * [backup-simplify]: Simplify 0 into 0 2.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.271 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.274 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.274 * [backup-simplify]: Simplify (- 0) into 0 2.274 * [backup-simplify]: Simplify (+ 0 0) into 0 2.274 * [backup-simplify]: Simplify 0 into 0 2.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.277 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.281 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.281 * [backup-simplify]: Simplify (- 0) into 0 2.281 * [backup-simplify]: Simplify (+ 0 0) into 0 2.281 * [backup-simplify]: Simplify 0 into 0 2.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.284 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.286 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.288 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.288 * [backup-simplify]: Simplify (- 0) into 0 2.289 * [backup-simplify]: Simplify (+ 0 0) into 0 2.289 * [backup-simplify]: Simplify 0 into 0 2.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 2.291 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 2.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.294 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.295 * [backup-simplify]: Simplify (- 0) into 0 2.295 * [backup-simplify]: Simplify (+ 0 0) into 0 2.295 * [backup-simplify]: Simplify 0 into 0 2.295 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 N) 3)) (* 0.5 (pow (/ 1 N) 2))) into (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) 2.296 * [backup-simplify]: Simplify (- (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N)))) (/ (/ 0.3333333333333333 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N))))) into (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) 2.296 * [approximate]: Taking taylor expansion of (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in (N) around 0 2.296 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in N 2.296 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 2.296 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.296 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.296 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.296 * [taylor]: Taking taylor expansion of N in N 2.296 * [backup-simplify]: Simplify 0 into 0 2.296 * [backup-simplify]: Simplify 1 into 1 2.296 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.296 * [taylor]: Taking taylor expansion of 0.5 in N 2.296 * [backup-simplify]: Simplify 0.5 into 0.5 2.296 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.296 * [taylor]: Taking taylor expansion of N in N 2.296 * [backup-simplify]: Simplify 0 into 0 2.296 * [backup-simplify]: Simplify 1 into 1 2.296 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in N 2.296 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 2.296 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.296 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.296 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.296 * [taylor]: Taking taylor expansion of N in N 2.296 * [backup-simplify]: Simplify 0 into 0 2.296 * [backup-simplify]: Simplify 1 into 1 2.296 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.296 * [taylor]: Taking taylor expansion of 0.5 in N 2.296 * [backup-simplify]: Simplify 0.5 into 0.5 2.296 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.296 * [taylor]: Taking taylor expansion of N in N 2.296 * [backup-simplify]: Simplify 0 into 0 2.296 * [backup-simplify]: Simplify 1 into 1 2.297 * [backup-simplify]: Simplify (* 1 1) into 1 2.297 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 2.297 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 2.297 * [backup-simplify]: Simplify 0.5 into 0.5 2.298 * [backup-simplify]: Simplify (* 1 1) into 1 2.298 * [backup-simplify]: Simplify (* 1 1) into 1 2.298 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 2.299 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.299 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 2.299 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 2.299 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.300 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.300 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.301 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 2.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.302 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 2.302 * [backup-simplify]: Simplify (+ 0 0) into 0 2.302 * [backup-simplify]: Simplify 0 into 0 2.303 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.303 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.304 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 2.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.305 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.306 * [backup-simplify]: Simplify (+ 0 0) into 0 2.306 * [backup-simplify]: Simplify 0 into 0 2.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.308 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.309 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.310 * [backup-simplify]: Simplify (+ 0 0) into 0 2.310 * [backup-simplify]: Simplify 0 into 0 2.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.312 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.314 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.314 * [backup-simplify]: Simplify (+ 0 0) into 0 2.314 * [backup-simplify]: Simplify 0 into 0 2.315 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.316 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.318 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.319 * [backup-simplify]: Simplify (+ 0 0) into 0 2.319 * [backup-simplify]: Simplify 0 into 0 2.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.322 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 2.324 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 2.324 * [backup-simplify]: Simplify (+ 0 0) into 0 2.324 * [backup-simplify]: Simplify 0 into 0 2.324 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 (- N)) 3)) (* 0.5 (pow (/ 1 (- N)) 2))) into (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) 2.324 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 2.325 * [backup-simplify]: Simplify (/ 0.5 (* N N)) into (/ 0.5 (pow N 2)) 2.325 * [approximate]: Taking taylor expansion of (/ 0.5 (pow N 2)) in (N) around 0 2.325 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 2.325 * [taylor]: Taking taylor expansion of 0.5 in N 2.325 * [backup-simplify]: Simplify 0.5 into 0.5 2.325 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.325 * [taylor]: Taking taylor expansion of N in N 2.325 * [backup-simplify]: Simplify 0 into 0 2.325 * [backup-simplify]: Simplify 1 into 1 2.325 * [backup-simplify]: Simplify (* 1 1) into 1 2.325 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 2.325 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 2.325 * [taylor]: Taking taylor expansion of 0.5 in N 2.325 * [backup-simplify]: Simplify 0.5 into 0.5 2.325 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.325 * [taylor]: Taking taylor expansion of N in N 2.325 * [backup-simplify]: Simplify 0 into 0 2.325 * [backup-simplify]: Simplify 1 into 1 2.326 * [backup-simplify]: Simplify (* 1 1) into 1 2.326 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 2.326 * [backup-simplify]: Simplify 0.5 into 0.5 2.327 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.328 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0 2.328 * [backup-simplify]: Simplify 0 into 0 2.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.330 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.330 * [backup-simplify]: Simplify 0 into 0 2.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.337 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.337 * [backup-simplify]: Simplify 0 into 0 2.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.340 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.340 * [backup-simplify]: Simplify 0 into 0 2.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.343 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.343 * [backup-simplify]: Simplify 0 into 0 2.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.346 * [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 2.346 * [backup-simplify]: Simplify 0 into 0 2.347 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 N) 2)) into (/ 0.5 (pow N 2)) 2.347 * [backup-simplify]: Simplify (/ 0.5 (* (/ 1 N) (/ 1 N))) into (* 0.5 (pow N 2)) 2.347 * [approximate]: Taking taylor expansion of (* 0.5 (pow N 2)) in (N) around 0 2.347 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.347 * [taylor]: Taking taylor expansion of 0.5 in N 2.347 * [backup-simplify]: Simplify 0.5 into 0.5 2.347 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.347 * [taylor]: Taking taylor expansion of N in N 2.347 * [backup-simplify]: Simplify 0 into 0 2.347 * [backup-simplify]: Simplify 1 into 1 2.347 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.347 * [taylor]: Taking taylor expansion of 0.5 in N 2.347 * [backup-simplify]: Simplify 0.5 into 0.5 2.347 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.347 * [taylor]: Taking taylor expansion of N in N 2.347 * [backup-simplify]: Simplify 0 into 0 2.347 * [backup-simplify]: Simplify 1 into 1 2.348 * [backup-simplify]: Simplify (* 1 1) into 1 2.348 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 2.348 * [backup-simplify]: Simplify 0.5 into 0.5 2.349 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.350 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 2.350 * [backup-simplify]: Simplify 0 into 0 2.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.352 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 2.352 * [backup-simplify]: Simplify 0 into 0 2.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.354 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.355 * [backup-simplify]: Simplify 0 into 0 2.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.357 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.357 * [backup-simplify]: Simplify 0 into 0 2.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.360 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.360 * [backup-simplify]: Simplify 0 into 0 2.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.364 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.364 * [backup-simplify]: Simplify 0 into 0 2.364 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 N) 2)) into (/ 0.5 (pow N 2)) 2.364 * [backup-simplify]: Simplify (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N)))) into (* 0.5 (pow N 2)) 2.364 * [approximate]: Taking taylor expansion of (* 0.5 (pow N 2)) in (N) around 0 2.364 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.364 * [taylor]: Taking taylor expansion of 0.5 in N 2.364 * [backup-simplify]: Simplify 0.5 into 0.5 2.364 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.364 * [taylor]: Taking taylor expansion of N in N 2.365 * [backup-simplify]: Simplify 0 into 0 2.365 * [backup-simplify]: Simplify 1 into 1 2.365 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.365 * [taylor]: Taking taylor expansion of 0.5 in N 2.365 * [backup-simplify]: Simplify 0.5 into 0.5 2.365 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.365 * [taylor]: Taking taylor expansion of N in N 2.365 * [backup-simplify]: Simplify 0 into 0 2.365 * [backup-simplify]: Simplify 1 into 1 2.365 * [backup-simplify]: Simplify (* 1 1) into 1 2.366 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 2.366 * [backup-simplify]: Simplify 0.5 into 0.5 2.366 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.367 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 2.367 * [backup-simplify]: Simplify 0 into 0 2.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.369 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 2.369 * [backup-simplify]: Simplify 0 into 0 2.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.371 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.371 * [backup-simplify]: Simplify 0 into 0 2.373 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.374 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.374 * [backup-simplify]: Simplify 0 into 0 2.375 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.377 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.377 * [backup-simplify]: Simplify 0 into 0 2.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.380 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.380 * [backup-simplify]: Simplify 0 into 0 2.380 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 (- N)) 2)) into (/ 0.5 (pow N 2)) 2.381 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 2.381 * [backup-simplify]: Simplify (/ (/ 0.3333333333333333 N) (* N N)) into (/ 0.3333333333333333 (pow N 3)) 2.381 * [approximate]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in (N) around 0 2.381 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 2.381 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.381 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.381 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.381 * [taylor]: Taking taylor expansion of N in N 2.381 * [backup-simplify]: Simplify 0 into 0 2.381 * [backup-simplify]: Simplify 1 into 1 2.381 * [backup-simplify]: Simplify (* 1 1) into 1 2.382 * [backup-simplify]: Simplify (* 1 1) into 1 2.382 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 2.382 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 2.382 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.382 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.382 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.382 * [taylor]: Taking taylor expansion of N in N 2.382 * [backup-simplify]: Simplify 0 into 0 2.382 * [backup-simplify]: Simplify 1 into 1 2.383 * [backup-simplify]: Simplify (* 1 1) into 1 2.383 * [backup-simplify]: Simplify (* 1 1) into 1 2.384 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 2.384 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.384 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.385 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.386 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)))) into 0 2.386 * [backup-simplify]: Simplify 0 into 0 2.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.389 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.389 * [backup-simplify]: Simplify 0 into 0 2.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.393 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.393 * [backup-simplify]: Simplify 0 into 0 2.394 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.395 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.396 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.396 * [backup-simplify]: Simplify 0 into 0 2.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.400 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.400 * [backup-simplify]: Simplify 0 into 0 2.402 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.403 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.404 * [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 2.405 * [backup-simplify]: Simplify 0 into 0 2.405 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 2.405 * [backup-simplify]: Simplify (/ (/ 0.3333333333333333 (/ 1 N)) (* (/ 1 N) (/ 1 N))) into (* 0.3333333333333333 (pow N 3)) 2.405 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in (N) around 0 2.405 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 2.405 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.405 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.405 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.405 * [taylor]: Taking taylor expansion of N in N 2.405 * [backup-simplify]: Simplify 0 into 0 2.405 * [backup-simplify]: Simplify 1 into 1 2.405 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 2.405 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.405 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.405 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.405 * [taylor]: Taking taylor expansion of N in N 2.405 * [backup-simplify]: Simplify 0 into 0 2.405 * [backup-simplify]: Simplify 1 into 1 2.406 * [backup-simplify]: Simplify (* 1 1) into 1 2.406 * [backup-simplify]: Simplify (* 1 1) into 1 2.407 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 2.407 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.407 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.408 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.409 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 2.409 * [backup-simplify]: Simplify 0 into 0 2.410 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.412 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 2.412 * [backup-simplify]: Simplify 0 into 0 2.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.414 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.415 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.415 * [backup-simplify]: Simplify 0 into 0 2.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.419 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.419 * [backup-simplify]: Simplify 0 into 0 2.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.423 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.423 * [backup-simplify]: Simplify 0 into 0 2.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.428 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.428 * [backup-simplify]: Simplify 0 into 0 2.428 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 2.428 * [backup-simplify]: Simplify (/ (/ 0.3333333333333333 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N)))) into (* -0.3333333333333333 (pow N 3)) 2.428 * [approximate]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in (N) around 0 2.428 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 2.428 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 2.428 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 2.428 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.428 * [taylor]: Taking taylor expansion of N in N 2.428 * [backup-simplify]: Simplify 0 into 0 2.428 * [backup-simplify]: Simplify 1 into 1 2.428 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 2.428 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 2.428 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 2.428 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.428 * [taylor]: Taking taylor expansion of N in N 2.428 * [backup-simplify]: Simplify 0 into 0 2.428 * [backup-simplify]: Simplify 1 into 1 2.429 * [backup-simplify]: Simplify (* 1 1) into 1 2.429 * [backup-simplify]: Simplify (* 1 1) into 1 2.430 * [backup-simplify]: Simplify (* -0.3333333333333333 1) into -0.3333333333333333 2.430 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 2.430 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.431 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.431 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (* 0 1)) into 0 2.431 * [backup-simplify]: Simplify 0 into 0 2.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.433 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 2.433 * [backup-simplify]: Simplify 0 into 0 2.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.435 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.435 * [backup-simplify]: Simplify 0 into 0 2.436 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.436 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.437 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.437 * [backup-simplify]: Simplify 0 into 0 2.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.439 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.440 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.440 * [backup-simplify]: Simplify 0 into 0 2.441 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.443 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.443 * [backup-simplify]: Simplify 0 into 0 2.443 * [backup-simplify]: Simplify (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) into (/ 0.3333333333333333 (pow N 3)) 2.443 * * * * [progress]: [ 4 / 4 ] generating series at (2) 2.443 * [backup-simplify]: Simplify (- (/ 1.0 N) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) into (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) 2.443 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) in (N) around 0 2.443 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) in N 2.443 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) in N 2.443 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 2.443 * [taylor]: Taking taylor expansion of 1.0 in N 2.443 * [backup-simplify]: Simplify 1.0 into 1.0 2.443 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.443 * [taylor]: Taking taylor expansion of N in N 2.443 * [backup-simplify]: Simplify 0 into 0 2.443 * [backup-simplify]: Simplify 1 into 1 2.444 * [backup-simplify]: Simplify (/ 1 1) into 1 2.444 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 2.444 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.444 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.444 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 2.444 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.444 * [taylor]: Taking taylor expansion of N in N 2.444 * [backup-simplify]: Simplify 0 into 0 2.444 * [backup-simplify]: Simplify 1 into 1 2.444 * [backup-simplify]: Simplify (* 1 1) into 1 2.444 * [backup-simplify]: Simplify (* 1 1) into 1 2.444 * [backup-simplify]: Simplify (/ 1 1) into 1 2.444 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 2.444 * [taylor]: Taking taylor expansion of 0.5 in N 2.444 * [backup-simplify]: Simplify 0.5 into 0.5 2.445 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.445 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.445 * [taylor]: Taking taylor expansion of N in N 2.445 * [backup-simplify]: Simplify 0 into 0 2.445 * [backup-simplify]: Simplify 1 into 1 2.445 * [backup-simplify]: Simplify (* 1 1) into 1 2.445 * [backup-simplify]: Simplify (/ 1 1) into 1 2.445 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) in N 2.445 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) in N 2.445 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 2.445 * [taylor]: Taking taylor expansion of 1.0 in N 2.445 * [backup-simplify]: Simplify 1.0 into 1.0 2.445 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.445 * [taylor]: Taking taylor expansion of N in N 2.445 * [backup-simplify]: Simplify 0 into 0 2.445 * [backup-simplify]: Simplify 1 into 1 2.445 * [backup-simplify]: Simplify (/ 1 1) into 1 2.445 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 2.446 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.446 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.446 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 2.446 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.446 * [taylor]: Taking taylor expansion of N in N 2.446 * [backup-simplify]: Simplify 0 into 0 2.446 * [backup-simplify]: Simplify 1 into 1 2.446 * [backup-simplify]: Simplify (* 1 1) into 1 2.446 * [backup-simplify]: Simplify (* 1 1) into 1 2.446 * [backup-simplify]: Simplify (/ 1 1) into 1 2.446 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 2.446 * [taylor]: Taking taylor expansion of 0.5 in N 2.446 * [backup-simplify]: Simplify 0.5 into 0.5 2.446 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.446 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.446 * [taylor]: Taking taylor expansion of N in N 2.447 * [backup-simplify]: Simplify 0 into 0 2.447 * [backup-simplify]: Simplify 1 into 1 2.447 * [backup-simplify]: Simplify (* 1 1) into 1 2.447 * [backup-simplify]: Simplify (/ 1 1) into 1 2.447 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 2.448 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 2.448 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 2.448 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.448 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.449 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.450 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 2.450 * [backup-simplify]: Simplify (+ 0 0) into 0 2.451 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 2.451 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 2.451 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 2.452 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 2.452 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 2.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.454 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 2.455 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.455 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.456 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 2.456 * [backup-simplify]: Simplify (- 0) into 0 2.456 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.456 * [backup-simplify]: Simplify 1.0 into 1.0 2.457 * [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)))) 2.457 * [backup-simplify]: Simplify (- (/ 1.0 (/ 1 N)) (- (/ 0.5 (* (/ 1 N) (/ 1 N))) (/ (/ 0.3333333333333333 (/ 1 N)) (* (/ 1 N) (/ 1 N))))) into (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) 2.457 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in (N) around 0 2.457 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 2.457 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 2.457 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 2.458 * [taylor]: Taking taylor expansion of 1.0 in N 2.458 * [backup-simplify]: Simplify 1.0 into 1.0 2.458 * [taylor]: Taking taylor expansion of N in N 2.458 * [backup-simplify]: Simplify 0 into 0 2.458 * [backup-simplify]: Simplify 1 into 1 2.458 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 2.458 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.458 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.458 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.458 * [taylor]: Taking taylor expansion of N in N 2.458 * [backup-simplify]: Simplify 0 into 0 2.458 * [backup-simplify]: Simplify 1 into 1 2.458 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.458 * [taylor]: Taking taylor expansion of 0.5 in N 2.458 * [backup-simplify]: Simplify 0.5 into 0.5 2.458 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.458 * [taylor]: Taking taylor expansion of N in N 2.458 * [backup-simplify]: Simplify 0 into 0 2.458 * [backup-simplify]: Simplify 1 into 1 2.458 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 2.458 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 2.458 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 2.458 * [taylor]: Taking taylor expansion of 1.0 in N 2.458 * [backup-simplify]: Simplify 1.0 into 1.0 2.458 * [taylor]: Taking taylor expansion of N in N 2.458 * [backup-simplify]: Simplify 0 into 0 2.458 * [backup-simplify]: Simplify 1 into 1 2.458 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 2.458 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.458 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.458 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.458 * [taylor]: Taking taylor expansion of N in N 2.458 * [backup-simplify]: Simplify 0 into 0 2.458 * [backup-simplify]: Simplify 1 into 1 2.458 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.458 * [taylor]: Taking taylor expansion of 0.5 in N 2.458 * [backup-simplify]: Simplify 0.5 into 0.5 2.458 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.458 * [taylor]: Taking taylor expansion of N in N 2.458 * [backup-simplify]: Simplify 0 into 0 2.458 * [backup-simplify]: Simplify 1 into 1 2.459 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.459 * [backup-simplify]: Simplify (+ 0 0) into 0 2.460 * [backup-simplify]: Simplify (+ 0 0) into 0 2.460 * [backup-simplify]: Simplify 0 into 0 2.462 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 2.462 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.463 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.463 * [backup-simplify]: Simplify 1.0 into 1.0 2.464 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 2.465 * [backup-simplify]: Simplify (+ 0 0) into 0 2.465 * [backup-simplify]: Simplify (* 1 1) into 1 2.466 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 2.466 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 2.467 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 2.468 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 2.469 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.471 * [backup-simplify]: Simplify (* 1 1) into 1 2.472 * [backup-simplify]: Simplify (* 1 1) into 1 2.473 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 2.473 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 2.474 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.474 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 2.475 * [backup-simplify]: Simplify (- 0) into 0 2.475 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 2.475 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.476 * [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)))) 2.477 * [backup-simplify]: Simplify (- (/ 1.0 (/ 1 (- N))) (- (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N)))) (/ (/ 0.3333333333333333 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N)))))) into (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) 2.477 * [approximate]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in (N) around 0 2.477 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 2.477 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 2.477 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.477 * [taylor]: Taking taylor expansion of 0.5 in N 2.477 * [backup-simplify]: Simplify 0.5 into 0.5 2.477 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.477 * [taylor]: Taking taylor expansion of N in N 2.477 * [backup-simplify]: Simplify 0 into 0 2.478 * [backup-simplify]: Simplify 1 into 1 2.478 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 2.478 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 2.478 * [taylor]: Taking taylor expansion of 1.0 in N 2.478 * [backup-simplify]: Simplify 1.0 into 1.0 2.478 * [taylor]: Taking taylor expansion of N in N 2.478 * [backup-simplify]: Simplify 0 into 0 2.478 * [backup-simplify]: Simplify 1 into 1 2.478 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 2.478 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.478 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.478 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.478 * [taylor]: Taking taylor expansion of N in N 2.478 * [backup-simplify]: Simplify 0 into 0 2.478 * [backup-simplify]: Simplify 1 into 1 2.478 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 2.478 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 2.478 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.478 * [taylor]: Taking taylor expansion of 0.5 in N 2.478 * [backup-simplify]: Simplify 0.5 into 0.5 2.478 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.478 * [taylor]: Taking taylor expansion of N in N 2.478 * [backup-simplify]: Simplify 0 into 0 2.478 * [backup-simplify]: Simplify 1 into 1 2.478 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 2.478 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 2.478 * [taylor]: Taking taylor expansion of 1.0 in N 2.478 * [backup-simplify]: Simplify 1.0 into 1.0 2.478 * [taylor]: Taking taylor expansion of N in N 2.478 * [backup-simplify]: Simplify 0 into 0 2.478 * [backup-simplify]: Simplify 1 into 1 2.478 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 2.478 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.478 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.478 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.478 * [taylor]: Taking taylor expansion of N in N 2.478 * [backup-simplify]: Simplify 0 into 0 2.479 * [backup-simplify]: Simplify 1 into 1 2.479 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.480 * [backup-simplify]: Simplify (+ 0 0) into 0 2.480 * [backup-simplify]: Simplify (+ 0 0) into 0 2.480 * [backup-simplify]: Simplify (- 0) into 0 2.480 * [backup-simplify]: Simplify 0 into 0 2.482 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 2.482 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.483 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.483 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.483 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.484 * [backup-simplify]: Simplify (* 1 1) into 1 2.484 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 2.484 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 2.485 * [backup-simplify]: Simplify (+ 0 0) into 0 2.485 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 2.485 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 2.485 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 2.486 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.486 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 2.487 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.487 * [backup-simplify]: Simplify (* 1 1) into 1 2.487 * [backup-simplify]: Simplify (* 1 1) into 1 2.488 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 2.488 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 2.488 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 2.489 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 2.489 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 2.490 * [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)))) 2.490 * * * [progress]: simplifying candidates 2.492 * [simplify]: Simplifying: (/ (exp (/ 0.5 (* N N))) (exp (/ (/ 0.3333333333333333 N) (* N N)))) (log (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (exp (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (* (cbrt (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (cbrt (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))))) (cbrt (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (* (* (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (sqrt (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (sqrt (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (- 0.5 (/ 0.3333333333333333 N)) (- (* 0.5 (* N N)) (* (* N N) (/ 0.3333333333333333 N))) (* (* N N) (* N N)) (- (pow (/ 0.5 (* N N)) 3) (pow (/ (/ 0.3333333333333333 N) (* N N)) 3)) (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (+ (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (* (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))))) (- (/ (/ 0.3333333333333333 N) (* N N))) (- (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (+ (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (+ (sqrt (/ 0.5 (* N N))) (sqrt (/ (/ 0.3333333333333333 N) (* N N)))) (- (sqrt (/ 0.5 (* N N))) (sqrt (/ (/ 0.3333333333333333 N) (* N N)))) (+ (sqrt (/ 0.5 (* N N))) (/ (sqrt (/ 0.3333333333333333 N)) N)) (- (sqrt (/ 0.5 (* N N))) (/ (sqrt (/ 0.3333333333333333 N)) N)) (+ (sqrt (/ 0.5 (* N N))) (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N)) (- (sqrt (/ 0.5 (* N N))) (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N)) (+ (/ (sqrt 0.5) N) (sqrt (/ (/ 0.3333333333333333 N) (* N N)))) (- (/ (sqrt 0.5) N) (sqrt (/ (/ 0.3333333333333333 N) (* N N)))) (+ (/ (sqrt 0.5) N) (/ (sqrt (/ 0.3333333333333333 N)) N)) (- (/ (sqrt 0.5) N) (/ (sqrt (/ 0.3333333333333333 N)) N)) (+ (/ (sqrt 0.5) N) (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N)) (- (/ (sqrt 0.5) N) (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N)) (- (/ 0.5 N) (/ (/ 0.3333333333333333 N) N)) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (- 0.5 (/ 0.3333333333333333 N)) (- (/ (/ 0.3333333333333333 N) (* N N))) (- (log 0.5) (+ (log N) (log N))) (- (log 0.5) (log (* N 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 0.5) 0.5) (* (* (* N N) (* 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) (cbrt 0.5)) N) (/ (cbrt 0.5) N) (/ (sqrt 0.5) N) (/ (sqrt 0.5) N) (/ 1 N) (/ 0.5 N) (/ 1 (* N N)) (/ (* N N) 0.5) (/ 0.5 N) (/ (* N N) (cbrt 0.5)) (/ (* N N) (sqrt 0.5)) (/ (* N N) 0.5) (- (- (log 0.3333333333333333) (log N)) (+ (log N) (log N))) (- (- (log 0.3333333333333333) (log N)) (log (* N N))) (- (log (/ 0.3333333333333333 N)) (+ (log N) (log N))) (- (log (/ 0.3333333333333333 N)) (log (* N N))) (log (/ (/ 0.3333333333333333 N) (* N N))) (exp (/ (/ 0.3333333333333333 N) (* N N))) (/ (/ (* (* 0.3333333333333333 0.3333333333333333) 0.3333333333333333) (* (* N N) N)) (* (* (* N N) N) (* (* N N) N))) (/ (/ (* (* 0.3333333333333333 0.3333333333333333) 0.3333333333333333) (* (* N N) N)) (* (* (* N N) (* N N)) (* N N))) (/ (* (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (/ 0.3333333333333333 N)) (* (* (* N N) N) (* (* N N) N))) (/ (* (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (/ 0.3333333333333333 N)) (* (* (* N N) (* N N)) (* N N))) (* (cbrt (/ (/ 0.3333333333333333 N) (* N N))) (cbrt (/ (/ 0.3333333333333333 N) (* N N)))) (cbrt (/ (/ 0.3333333333333333 N) (* N N))) (* (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (/ (/ 0.3333333333333333 N) (* N N))) (sqrt (/ (/ 0.3333333333333333 N) (* N N))) (sqrt (/ (/ 0.3333333333333333 N) (* N N))) (- (/ 0.3333333333333333 N)) (- (* N N)) (/ (* (cbrt (/ 0.3333333333333333 N)) (cbrt (/ 0.3333333333333333 N))) N) (/ (cbrt (/ 0.3333333333333333 N)) N) (/ (sqrt (/ 0.3333333333333333 N)) N) (/ (sqrt (/ 0.3333333333333333 N)) N) (/ (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* (cbrt N) (cbrt N))) N) (/ (/ (cbrt 0.3333333333333333) (cbrt N)) N) (/ (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (sqrt N)) N) (/ (/ (cbrt 0.3333333333333333) (sqrt N)) N) (/ (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) 1) N) (/ (/ (cbrt 0.3333333333333333) N) N) (/ (/ (sqrt 0.3333333333333333) (* (cbrt N) (cbrt N))) N) (/ (/ (sqrt 0.3333333333333333) (cbrt N)) N) (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N) (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N) (/ (/ (sqrt 0.3333333333333333) 1) N) (/ (/ (sqrt 0.3333333333333333) N) N) (/ (/ 1 (* (cbrt N) (cbrt N))) N) (/ (/ 0.3333333333333333 (cbrt N)) N) (/ (/ 1 (sqrt N)) N) (/ (/ 0.3333333333333333 (sqrt N)) N) (/ (/ 1 1) N) (/ (/ 0.3333333333333333 N) N) (/ 1 N) (/ (/ 0.3333333333333333 N) N) (/ 0.3333333333333333 N) (/ (/ 1 N) N) (/ 1 (* N N)) (/ (* N N) (/ 0.3333333333333333 N)) (/ (/ 0.3333333333333333 N) N) (/ (* N N) (cbrt (/ 0.3333333333333333 N))) (/ (* N N) (sqrt (/ 0.3333333333333333 N))) (/ (* N N) (/ (cbrt 0.3333333333333333) (cbrt N))) (/ (* N N) (/ (cbrt 0.3333333333333333) (sqrt N))) (/ (* N N) (/ (cbrt 0.3333333333333333) N)) (/ (* N N) (/ (sqrt 0.3333333333333333) (cbrt N))) (/ (* N N) (/ (sqrt 0.3333333333333333) (sqrt N))) (/ (* N N) (/ (sqrt 0.3333333333333333) N)) (/ (* N N) (/ 0.3333333333333333 (cbrt N))) (/ (* N N) (/ 0.3333333333333333 (sqrt N))) (/ (* N N) (/ 0.3333333333333333 N)) (/ (* N N) (/ 0.3333333333333333 N)) (/ (* N N) (/ 1 N)) (* (* N N) N) (/ (exp (/ 1.0 N)) (/ (exp (/ 0.5 (* N N))) (exp (/ (/ 0.3333333333333333 N) (* N N))))) (/ (exp (/ 1.0 N)) (exp (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))))) (log (- (/ 1.0 N) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))))) (exp (- (/ 1.0 N) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))))) (* (cbrt (- (/ 1.0 N) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))))) (cbrt (- (/ 1.0 N) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))))) (cbrt (- (/ 1.0 N) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))))) (* (* (- (/ 1.0 N) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (- (/ 1.0 N) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))))) (- (/ 1.0 N) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))))) (sqrt (- (/ 1.0 N) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))))) (sqrt (- (/ 1.0 N) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))))) (- (* 1.0 (* N N)) (* N (- 0.5 (/ 0.3333333333333333 N)))) (* N (* N N)) (- (* 1.0 (* (* N N) (* N N))) (* N (- (* 0.5 (* N N)) (* (* N N) (/ 0.3333333333333333 N))))) (* N (* (* N N) (* N N))) (- (* 1.0 (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (+ (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (* (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))))) (* N (- (pow (/ 0.5 (* N N)) 3) (pow (/ (/ 0.3333333333333333 N) (* N N)) 3)))) (* N (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (+ (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (* (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))))) (- (* 1.0 (+ (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (* N (- (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))))) (* N (+ (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (- (pow (/ 1.0 N) 3) (pow (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) 3)) (+ (* (/ 1.0 N) (/ 1.0 N)) (+ (* (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (* (/ 1.0 N) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))))) (- (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (- (* (/ 1.0 N) (/ 1.0 N)) (* (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))))) (+ (/ 1.0 N) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (+ (sqrt (/ 1.0 N)) (sqrt (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))))) (- (sqrt (/ 1.0 N)) (sqrt (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))))) (+ (/ (sqrt 1.0) (sqrt N)) (sqrt (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))))) (- (/ (sqrt 1.0) (sqrt N)) (sqrt (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))))) (- (/ 1.0 N) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (- (/ 1.0 N) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N))) (- (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) (/ 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)) (* 0.3333333333333333 (/ 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)))) 2.494 * * [simplify]: iteration 0: 223 enodes 2.534 * * [simplify]: iteration 1: 602 enodes 3.192 * * [simplify]: iteration 2: 3082 enodes 4.320 * * [simplify]: iteration complete: 5000 enodes 4.320 * * [simplify]: Extracting #0: cost 112 inf + 0 4.324 * * [simplify]: Extracting #1: cost 865 inf + 0 4.336 * * [simplify]: Extracting #2: cost 2298 inf + 10421 4.385 * * [simplify]: Extracting #3: cost 1186 inf + 180483 4.465 * * [simplify]: Extracting #4: cost 175 inf + 350132 4.573 * * [simplify]: Extracting #5: cost 12 inf + 381392 4.635 * * [simplify]: Extracting #6: cost 0 inf + 384346 4.724 * * [simplify]: Extracting #7: cost 0 inf + 384266 4.807 * [simplify]: Simplified to: (exp (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N)))) (log (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N)))) (exp (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N)))) (* (cbrt (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N)))) (cbrt (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))))) (cbrt (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N)))) (* (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))) (* (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))) (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))))) (sqrt (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N)))) (sqrt (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N)))) (- 0.5 (/ 0.3333333333333333 N)) (- (* 0.5 (* N N)) (* (/ 0.3333333333333333 N) (* N N))) (* (* N N) (* N N)) (- (* (* (/ (/ 0.5 N) N) (/ (/ 0.5 N) N)) (/ (/ 0.5 N) N)) (* (* (/ (/ (/ 0.3333333333333333 N) N) N) (/ (/ (/ 0.3333333333333333 N) N) N)) (/ (/ (/ 0.3333333333333333 N) N) N))) (+ (* (/ (/ 0.5 N) N) (/ (/ 0.5 N) N)) (* (/ (/ 0.3333333333333333 N) (* N N)) (+ (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.5 N) N)))) (/ (- 0.3333333333333333) (* N (* N N))) (* (+ (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))) (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N)))) (+ (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))) (+ (sqrt (/ (/ 0.5 N) N)) (sqrt (/ (/ 0.3333333333333333 N) (* N N)))) (- (sqrt (/ (/ 0.5 N) N)) (sqrt (/ (/ 0.3333333333333333 N) (* N N)))) (+ (sqrt (/ (/ 0.5 N) N)) (/ (sqrt (/ 0.3333333333333333 N)) N)) (- (sqrt (/ (/ 0.5 N) N)) (/ (sqrt (/ 0.3333333333333333 N)) N)) (+ (sqrt (/ (/ 0.5 N) N)) (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N)) (- (sqrt (/ (/ 0.5 N) N)) (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N)) (+ (/ (sqrt 0.5) N) (sqrt (/ (/ 0.3333333333333333 N) (* N N)))) (- (/ (sqrt 0.5) N) (sqrt (/ (/ 0.3333333333333333 N) (* N N)))) (+ (/ (sqrt (/ 0.3333333333333333 N)) N) (/ (sqrt 0.5) N)) (- (/ (sqrt 0.5) N) (/ (sqrt (/ 0.3333333333333333 N)) N)) (+ (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N) (/ (sqrt 0.5) N)) (- (/ (sqrt 0.5) N) (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N)) (- (/ 0.5 N) (/ (/ 0.3333333333333333 N) N)) (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))) (- 0.5 (/ 0.3333333333333333 N)) (/ (- 0.3333333333333333) (* N (* N N))) (log (/ (/ 0.5 N) N)) (log (/ (/ 0.5 N) N)) (log (/ (/ 0.5 N) N)) (exp (/ (/ 0.5 N) N)) (* (* (/ (/ 0.5 N) N) (/ (/ 0.5 N) N)) (/ (/ 0.5 N) N)) (* (* (/ (/ 0.5 N) N) (/ (/ 0.5 N) N)) (/ (/ 0.5 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) (cbrt 0.5)) N) (/ (cbrt 0.5) N) (/ (sqrt 0.5) N) (/ (sqrt 0.5) N) (/ 1 N) (/ 0.5 N) (/ (/ 1 N) N) (/ N (/ 0.5 N)) (/ 0.5 N) (/ N (/ (cbrt 0.5) N)) (* (/ N (sqrt 0.5)) N) (/ N (/ 0.5 N)) (log (/ (/ 0.3333333333333333 N) (* N N))) (log (/ (/ 0.3333333333333333 N) (* N N))) (log (/ (/ 0.3333333333333333 N) (* N N))) (log (/ (/ 0.3333333333333333 N) (* N N))) (log (/ (/ 0.3333333333333333 N) (* N N))) (exp (/ (/ 0.3333333333333333 N) (* N N))) (* (* (/ (/ (/ 0.3333333333333333 N) N) N) (/ (/ (/ 0.3333333333333333 N) N) N)) (/ (/ (/ 0.3333333333333333 N) N) N)) (* (* (/ (/ (/ 0.3333333333333333 N) N) N) (/ (/ (/ 0.3333333333333333 N) N) N)) (/ (/ (/ 0.3333333333333333 N) N) N)) (* (* (/ (/ (/ 0.3333333333333333 N) N) N) (/ (/ (/ 0.3333333333333333 N) N) N)) (/ (/ (/ 0.3333333333333333 N) N) N)) (* (* (/ (/ (/ 0.3333333333333333 N) N) N) (/ (/ (/ 0.3333333333333333 N) N) N)) (/ (/ (/ 0.3333333333333333 N) N) N)) (* (cbrt (/ (/ 0.3333333333333333 N) (* N N))) (cbrt (/ (/ 0.3333333333333333 N) (* N N)))) (cbrt (/ (/ 0.3333333333333333 N) (* N N))) (* (* (/ (/ (/ 0.3333333333333333 N) N) N) (/ (/ (/ 0.3333333333333333 N) N) N)) (/ (/ (/ 0.3333333333333333 N) N) N)) (sqrt (/ (/ 0.3333333333333333 N) (* N N))) (sqrt (/ (/ 0.3333333333333333 N) (* N N))) (/ (- 0.3333333333333333) N) (- (* N N)) (* (/ (cbrt (/ 0.3333333333333333 N)) N) (cbrt (/ 0.3333333333333333 N))) (/ (cbrt (/ 0.3333333333333333 N)) N) (/ (sqrt (/ 0.3333333333333333 N)) N) (/ (sqrt (/ 0.3333333333333333 N)) N) (/ (/ (cbrt 0.3333333333333333) (cbrt N)) (/ N (/ (cbrt 0.3333333333333333) (cbrt N)))) (/ (cbrt 0.3333333333333333) (* (cbrt N) N)) (* (/ (cbrt 0.3333333333333333) N) (/ (cbrt 0.3333333333333333) (sqrt N))) (/ (cbrt 0.3333333333333333) (* N (sqrt N))) (/ (cbrt 0.3333333333333333) (/ N (cbrt 0.3333333333333333))) (/ (/ (cbrt 0.3333333333333333) N) N) (/ (/ (sqrt 0.3333333333333333) N) (* (cbrt N) (cbrt N))) (/ (/ (sqrt 0.3333333333333333) (cbrt N)) N) (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N) (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N) (/ (sqrt 0.3333333333333333) N) (/ (/ (sqrt 0.3333333333333333) N) N) (/ (/ (/ 1 (cbrt N)) (cbrt N)) N) (/ (/ 0.3333333333333333 (cbrt N)) N) (/ 1 (* N (sqrt N))) (/ 0.3333333333333333 (* N (sqrt N))) (/ 1 N) (/ (/ 0.3333333333333333 N) N) (/ 1 N) (/ (/ 0.3333333333333333 N) N) (/ 0.3333333333333333 N) (/ (/ 1 N) N) (/ (/ 1 N) N) (* (/ N (/ 0.3333333333333333 N)) N) (/ (/ 0.3333333333333333 N) N) (/ (* N N) (cbrt (/ 0.3333333333333333 N))) (/ (* N N) (sqrt (/ 0.3333333333333333 N))) (* (/ (* N N) (cbrt 0.3333333333333333)) (cbrt N)) (/ (* (* N N) (sqrt N)) (cbrt 0.3333333333333333)) (* (/ N (cbrt 0.3333333333333333)) (* N N)) (* (/ N (sqrt 0.3333333333333333)) (* (cbrt N) N)) (/ N (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N)) (* N (/ N (/ (sqrt 0.3333333333333333) N))) (/ N (/ (/ 0.3333333333333333 (cbrt N)) N)) (* (/ N (/ 0.3333333333333333 N)) (sqrt N)) (* (/ N (/ 0.3333333333333333 N)) N) (* (/ N (/ 0.3333333333333333 N)) N) (* N (* N N)) (* N (* N N)) (exp (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))))) (exp (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))))) (log (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))))) (exp (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))))) (* (cbrt (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))))) (cbrt (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N)))))) (cbrt (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))))) (* (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N)))) (* (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N)))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N)))))) (sqrt (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))))) (sqrt (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))))) (* N (- (* 1.0 N) (- 0.5 (/ 0.3333333333333333 N)))) (* N (* N N)) (- (* (* (* N N) (* N N)) 1.0) (* (- (* 0.5 (* N N)) (* (/ 0.3333333333333333 N) (* N N))) N)) (* (* N (* N N)) (* N N)) (- (* (+ (* (/ (/ 0.5 N) N) (/ (/ 0.5 N) N)) (* (/ (/ 0.3333333333333333 N) (* N N)) (+ (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.5 N) N)))) 1.0) (* (- (* (* (/ (/ 0.5 N) N) (/ (/ 0.5 N) N)) (/ (/ 0.5 N) N)) (* (* (/ (/ (/ 0.3333333333333333 N) N) N) (/ (/ (/ 0.3333333333333333 N) N) N)) (/ (/ (/ 0.3333333333333333 N) N) N))) N)) (* (+ (* (/ (/ 0.5 N) N) (/ (/ 0.5 N) N)) (* (/ (/ 0.3333333333333333 N) (* N N)) (+ (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.5 N) N)))) N) (- (* 1.0 (+ (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N)))) (* (* (+ (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))) (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N)))) N)) (* (+ (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))) N) (- (* (/ 1.0 N) (* (/ 1.0 N) (/ 1.0 N))) (* (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))) (* (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))) (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N)))))) (+ (* (/ 1.0 N) (/ 1.0 N)) (* (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))) (+ (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))) (/ 1.0 N)))) (- (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N)))) (- (* (/ 1.0 N) (/ 1.0 N)) (* (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))) (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))))) (+ (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))) (/ 1.0 N)) (+ (sqrt (/ 1.0 N)) (sqrt (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))))) (- (sqrt (/ 1.0 N)) (sqrt (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))))) (+ (/ (sqrt 1.0) (sqrt N)) (sqrt (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))))) (- (/ (sqrt 1.0) (sqrt N)) (sqrt (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N)))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N)))) (- (/ 1.0 N) (/ (/ 0.5 N) N)) (- (/ 1.0 N) (/ (/ 0.5 N) N)) (- (/ 1.0 N) (/ (/ 0.5 N) N)) (- (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N)))) (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))) (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))) (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))) (/ (/ 0.5 N) N) (/ (/ 0.5 N) N) (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N)) (+ (/ 1.0 N) (- (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.5 N) N))) (+ (/ 1.0 N) (- (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.5 N) N))) (+ (/ 1.0 N) (- (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.5 N) N))) 4.826 * * * [progress]: adding candidates to table 5.384 * * [progress]: iteration 3 / 4 5.384 * * * [progress]: picking best candidate 5.394 * * * * [pick]: Picked # 5.394 * * * [progress]: localizing error 5.422 * * * [progress]: generating rewritten candidates 5.422 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 5.590 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 2) 5.596 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 5.610 * * * [progress]: generating series expansions 5.610 * * * * [progress]: [ 1 / 3 ] generating series at (2) 5.610 * [backup-simplify]: Simplify (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ (/ 0.3333333333333333 N) (* N N))) into (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) 5.610 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) in (N) around 0 5.610 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) in N 5.610 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) in N 5.610 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 5.610 * [taylor]: Taking taylor expansion of 1.0 in N 5.610 * [backup-simplify]: Simplify 1.0 into 1.0 5.610 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.610 * [taylor]: Taking taylor expansion of N in N 5.610 * [backup-simplify]: Simplify 0 into 0 5.610 * [backup-simplify]: Simplify 1 into 1 5.611 * [backup-simplify]: Simplify (/ 1 1) into 1 5.611 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 5.611 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 5.611 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 5.611 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 5.611 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.611 * [taylor]: Taking taylor expansion of N in N 5.611 * [backup-simplify]: Simplify 0 into 0 5.611 * [backup-simplify]: Simplify 1 into 1 5.611 * [backup-simplify]: Simplify (* 1 1) into 1 5.612 * [backup-simplify]: Simplify (* 1 1) into 1 5.612 * [backup-simplify]: Simplify (/ 1 1) into 1 5.612 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 5.612 * [taylor]: Taking taylor expansion of 0.5 in N 5.612 * [backup-simplify]: Simplify 0.5 into 0.5 5.612 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 5.612 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.612 * [taylor]: Taking taylor expansion of N in N 5.612 * [backup-simplify]: Simplify 0 into 0 5.612 * [backup-simplify]: Simplify 1 into 1 5.612 * [backup-simplify]: Simplify (* 1 1) into 1 5.613 * [backup-simplify]: Simplify (/ 1 1) into 1 5.613 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) in N 5.613 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) in N 5.613 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 5.613 * [taylor]: Taking taylor expansion of 1.0 in N 5.613 * [backup-simplify]: Simplify 1.0 into 1.0 5.613 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.613 * [taylor]: Taking taylor expansion of N in N 5.613 * [backup-simplify]: Simplify 0 into 0 5.613 * [backup-simplify]: Simplify 1 into 1 5.613 * [backup-simplify]: Simplify (/ 1 1) into 1 5.613 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 5.613 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 5.613 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 5.613 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 5.613 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.613 * [taylor]: Taking taylor expansion of N in N 5.613 * [backup-simplify]: Simplify 0 into 0 5.613 * [backup-simplify]: Simplify 1 into 1 5.613 * [backup-simplify]: Simplify (* 1 1) into 1 5.614 * [backup-simplify]: Simplify (* 1 1) into 1 5.614 * [backup-simplify]: Simplify (/ 1 1) into 1 5.614 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 5.614 * [taylor]: Taking taylor expansion of 0.5 in N 5.614 * [backup-simplify]: Simplify 0.5 into 0.5 5.614 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 5.614 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.614 * [taylor]: Taking taylor expansion of N in N 5.614 * [backup-simplify]: Simplify 0 into 0 5.614 * [backup-simplify]: Simplify 1 into 1 5.614 * [backup-simplify]: Simplify (* 1 1) into 1 5.614 * [backup-simplify]: Simplify (/ 1 1) into 1 5.615 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 5.615 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 5.615 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 5.615 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 5.616 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.616 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.617 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 5.617 * [backup-simplify]: Simplify (+ 0 0) into 0 5.618 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 5.618 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 5.619 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 5.619 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 5.620 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 5.620 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.623 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 5.624 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.624 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.626 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 5.626 * [backup-simplify]: Simplify (- 0) into 0 5.627 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.627 * [backup-simplify]: Simplify 1.0 into 1.0 5.628 * [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)))) 5.628 * [backup-simplify]: Simplify (+ (- (/ 1.0 (/ 1 N)) (/ 0.5 (* (/ 1 N) (/ 1 N)))) (/ (/ 0.3333333333333333 (/ 1 N)) (* (/ 1 N) (/ 1 N)))) into (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) 5.628 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in (N) around 0 5.628 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 5.628 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 5.628 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 5.628 * [taylor]: Taking taylor expansion of 1.0 in N 5.628 * [backup-simplify]: Simplify 1.0 into 1.0 5.629 * [taylor]: Taking taylor expansion of N in N 5.629 * [backup-simplify]: Simplify 0 into 0 5.629 * [backup-simplify]: Simplify 1 into 1 5.629 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 5.629 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 5.629 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 5.629 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.629 * [taylor]: Taking taylor expansion of N in N 5.629 * [backup-simplify]: Simplify 0 into 0 5.629 * [backup-simplify]: Simplify 1 into 1 5.629 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 5.629 * [taylor]: Taking taylor expansion of 0.5 in N 5.629 * [backup-simplify]: Simplify 0.5 into 0.5 5.629 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.629 * [taylor]: Taking taylor expansion of N in N 5.629 * [backup-simplify]: Simplify 0 into 0 5.629 * [backup-simplify]: Simplify 1 into 1 5.629 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 5.629 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 5.629 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 5.629 * [taylor]: Taking taylor expansion of 1.0 in N 5.629 * [backup-simplify]: Simplify 1.0 into 1.0 5.629 * [taylor]: Taking taylor expansion of N in N 5.629 * [backup-simplify]: Simplify 0 into 0 5.629 * [backup-simplify]: Simplify 1 into 1 5.629 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 5.629 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 5.629 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 5.629 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.629 * [taylor]: Taking taylor expansion of N in N 5.629 * [backup-simplify]: Simplify 0 into 0 5.629 * [backup-simplify]: Simplify 1 into 1 5.629 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 5.629 * [taylor]: Taking taylor expansion of 0.5 in N 5.629 * [backup-simplify]: Simplify 0.5 into 0.5 5.629 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.629 * [taylor]: Taking taylor expansion of N in N 5.629 * [backup-simplify]: Simplify 0 into 0 5.629 * [backup-simplify]: Simplify 1 into 1 5.630 * [backup-simplify]: Simplify (* 1.0 0) into 0 5.630 * [backup-simplify]: Simplify (+ 0 0) into 0 5.631 * [backup-simplify]: Simplify (+ 0 0) into 0 5.631 * [backup-simplify]: Simplify 0 into 0 5.632 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 5.633 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.633 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.633 * [backup-simplify]: Simplify 1.0 into 1.0 5.634 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 5.635 * [backup-simplify]: Simplify (+ 0 0) into 0 5.635 * [backup-simplify]: Simplify (* 1 1) into 1 5.636 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 5.636 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 5.637 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 5.637 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 5.639 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.639 * [backup-simplify]: Simplify (* 1 1) into 1 5.639 * [backup-simplify]: Simplify (* 1 1) into 1 5.640 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 5.640 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 5.641 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.642 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 5.642 * [backup-simplify]: Simplify (- 0) into 0 5.643 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 5.643 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 5.644 * [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)))) 5.644 * [backup-simplify]: Simplify (+ (- (/ 1.0 (/ 1 (- N))) (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N))))) (/ (/ 0.3333333333333333 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N))))) into (- (+ (* 1.0 N) (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))))) 5.644 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 N) (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))))) in (N) around 0 5.644 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))))) in N 5.645 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3)))) in N 5.645 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 5.645 * [taylor]: Taking taylor expansion of 1.0 in N 5.645 * [backup-simplify]: Simplify 1.0 into 1.0 5.645 * [taylor]: Taking taylor expansion of N in N 5.645 * [backup-simplify]: Simplify 0 into 0 5.645 * [backup-simplify]: Simplify 1 into 1 5.645 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))) in N 5.645 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 5.645 * [taylor]: Taking taylor expansion of 0.5 in N 5.645 * [backup-simplify]: Simplify 0.5 into 0.5 5.645 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.645 * [taylor]: Taking taylor expansion of N in N 5.645 * [backup-simplify]: Simplify 0 into 0 5.645 * [backup-simplify]: Simplify 1 into 1 5.645 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 5.645 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 5.645 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 5.645 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.645 * [taylor]: Taking taylor expansion of N in N 5.645 * [backup-simplify]: Simplify 0 into 0 5.645 * [backup-simplify]: Simplify 1 into 1 5.645 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))))) in N 5.645 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3)))) in N 5.645 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 5.645 * [taylor]: Taking taylor expansion of 1.0 in N 5.645 * [backup-simplify]: Simplify 1.0 into 1.0 5.645 * [taylor]: Taking taylor expansion of N in N 5.645 * [backup-simplify]: Simplify 0 into 0 5.645 * [backup-simplify]: Simplify 1 into 1 5.645 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))) in N 5.645 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 5.645 * [taylor]: Taking taylor expansion of 0.5 in N 5.646 * [backup-simplify]: Simplify 0.5 into 0.5 5.646 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.646 * [taylor]: Taking taylor expansion of N in N 5.646 * [backup-simplify]: Simplify 0 into 0 5.646 * [backup-simplify]: Simplify 1 into 1 5.646 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 5.646 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 5.646 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 5.646 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.646 * [taylor]: Taking taylor expansion of N in N 5.646 * [backup-simplify]: Simplify 0 into 0 5.646 * [backup-simplify]: Simplify 1 into 1 5.646 * [backup-simplify]: Simplify (* 1.0 0) into 0 5.647 * [backup-simplify]: Simplify (+ 0 0) into 0 5.647 * [backup-simplify]: Simplify (- 0) into 0 5.647 * [backup-simplify]: Simplify 0 into 0 5.649 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 5.649 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.650 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 5.650 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 5.651 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 5.651 * [backup-simplify]: Simplify (* 1 1) into 1 5.651 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 5.652 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 5.652 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 5.652 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 5.652 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 5.653 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.654 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.654 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 5.654 * [backup-simplify]: Simplify (* 1 1) into 1 5.655 * [backup-simplify]: Simplify (* 1 1) into 1 5.655 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 5.655 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 5.655 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 5.656 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 5.656 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 5.657 * [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)))) 5.657 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 2) 5.657 * [backup-simplify]: Simplify (/ 0.5 (* N N)) into (/ 0.5 (pow N 2)) 5.657 * [approximate]: Taking taylor expansion of (/ 0.5 (pow N 2)) in (N) around 0 5.657 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 5.657 * [taylor]: Taking taylor expansion of 0.5 in N 5.657 * [backup-simplify]: Simplify 0.5 into 0.5 5.657 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.657 * [taylor]: Taking taylor expansion of N in N 5.657 * [backup-simplify]: Simplify 0 into 0 5.657 * [backup-simplify]: Simplify 1 into 1 5.658 * [backup-simplify]: Simplify (* 1 1) into 1 5.658 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 5.658 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 5.658 * [taylor]: Taking taylor expansion of 0.5 in N 5.658 * [backup-simplify]: Simplify 0.5 into 0.5 5.658 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.658 * [taylor]: Taking taylor expansion of N in N 5.658 * [backup-simplify]: Simplify 0 into 0 5.658 * [backup-simplify]: Simplify 1 into 1 5.659 * [backup-simplify]: Simplify (* 1 1) into 1 5.659 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 5.659 * [backup-simplify]: Simplify 0.5 into 0.5 5.659 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.660 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0 5.660 * [backup-simplify]: Simplify 0 into 0 5.660 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.661 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.661 * [backup-simplify]: Simplify 0 into 0 5.662 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.662 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.662 * [backup-simplify]: Simplify 0 into 0 5.663 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.664 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.664 * [backup-simplify]: Simplify 0 into 0 5.665 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.665 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.665 * [backup-simplify]: Simplify 0 into 0 5.666 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.667 * [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 5.667 * [backup-simplify]: Simplify 0 into 0 5.667 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 N) 2)) into (/ 0.5 (pow N 2)) 5.667 * [backup-simplify]: Simplify (/ 0.5 (* (/ 1 N) (/ 1 N))) into (* 0.5 (pow N 2)) 5.667 * [approximate]: Taking taylor expansion of (* 0.5 (pow N 2)) in (N) around 0 5.667 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 5.667 * [taylor]: Taking taylor expansion of 0.5 in N 5.667 * [backup-simplify]: Simplify 0.5 into 0.5 5.667 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.667 * [taylor]: Taking taylor expansion of N in N 5.667 * [backup-simplify]: Simplify 0 into 0 5.667 * [backup-simplify]: Simplify 1 into 1 5.667 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 5.667 * [taylor]: Taking taylor expansion of 0.5 in N 5.667 * [backup-simplify]: Simplify 0.5 into 0.5 5.667 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.667 * [taylor]: Taking taylor expansion of N in N 5.667 * [backup-simplify]: Simplify 0 into 0 5.667 * [backup-simplify]: Simplify 1 into 1 5.668 * [backup-simplify]: Simplify (* 1 1) into 1 5.668 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 5.668 * [backup-simplify]: Simplify 0.5 into 0.5 5.668 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.669 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 5.669 * [backup-simplify]: Simplify 0 into 0 5.669 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.670 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 5.670 * [backup-simplify]: Simplify 0 into 0 5.671 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.671 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.671 * [backup-simplify]: Simplify 0 into 0 5.672 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.673 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.673 * [backup-simplify]: Simplify 0 into 0 5.674 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.675 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.675 * [backup-simplify]: Simplify 0 into 0 5.676 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.677 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.677 * [backup-simplify]: Simplify 0 into 0 5.677 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 N) 2)) into (/ 0.5 (pow N 2)) 5.677 * [backup-simplify]: Simplify (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N)))) into (* 0.5 (pow N 2)) 5.677 * [approximate]: Taking taylor expansion of (* 0.5 (pow N 2)) in (N) around 0 5.677 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 5.677 * [taylor]: Taking taylor expansion of 0.5 in N 5.677 * [backup-simplify]: Simplify 0.5 into 0.5 5.677 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.677 * [taylor]: Taking taylor expansion of N in N 5.677 * [backup-simplify]: Simplify 0 into 0 5.677 * [backup-simplify]: Simplify 1 into 1 5.677 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 5.677 * [taylor]: Taking taylor expansion of 0.5 in N 5.677 * [backup-simplify]: Simplify 0.5 into 0.5 5.677 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.677 * [taylor]: Taking taylor expansion of N in N 5.677 * [backup-simplify]: Simplify 0 into 0 5.677 * [backup-simplify]: Simplify 1 into 1 5.678 * [backup-simplify]: Simplify (* 1 1) into 1 5.678 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 5.678 * [backup-simplify]: Simplify 0.5 into 0.5 5.678 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.679 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 5.679 * [backup-simplify]: Simplify 0 into 0 5.680 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.681 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 5.681 * [backup-simplify]: Simplify 0 into 0 5.682 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.683 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.683 * [backup-simplify]: Simplify 0 into 0 5.685 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.686 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.686 * [backup-simplify]: Simplify 0 into 0 5.687 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.689 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.689 * [backup-simplify]: Simplify 0 into 0 5.691 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.692 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.692 * [backup-simplify]: Simplify 0 into 0 5.693 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 (- N)) 2)) into (/ 0.5 (pow N 2)) 5.693 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 5.693 * [backup-simplify]: Simplify (/ (/ 0.3333333333333333 N) (* N N)) into (/ 0.3333333333333333 (pow N 3)) 5.693 * [approximate]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in (N) around 0 5.693 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 5.693 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 5.693 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 5.693 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.693 * [taylor]: Taking taylor expansion of N in N 5.693 * [backup-simplify]: Simplify 0 into 0 5.693 * [backup-simplify]: Simplify 1 into 1 5.694 * [backup-simplify]: Simplify (* 1 1) into 1 5.694 * [backup-simplify]: Simplify (* 1 1) into 1 5.695 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 5.695 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 5.695 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 5.695 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 5.695 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.695 * [taylor]: Taking taylor expansion of N in N 5.695 * [backup-simplify]: Simplify 0 into 0 5.695 * [backup-simplify]: Simplify 1 into 1 5.695 * [backup-simplify]: Simplify (* 1 1) into 1 5.695 * [backup-simplify]: Simplify (* 1 1) into 1 5.696 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 5.696 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 5.697 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.697 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.698 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)))) into 0 5.698 * [backup-simplify]: Simplify 0 into 0 5.699 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.700 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.701 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.701 * [backup-simplify]: Simplify 0 into 0 5.702 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.704 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.705 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.705 * [backup-simplify]: Simplify 0 into 0 5.706 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.707 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.709 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.709 * [backup-simplify]: Simplify 0 into 0 5.710 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.715 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.716 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.716 * [backup-simplify]: Simplify 0 into 0 5.718 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.719 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.721 * [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 5.721 * [backup-simplify]: Simplify 0 into 0 5.721 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 5.721 * [backup-simplify]: Simplify (/ (/ 0.3333333333333333 (/ 1 N)) (* (/ 1 N) (/ 1 N))) into (* 0.3333333333333333 (pow N 3)) 5.721 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in (N) around 0 5.721 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 5.721 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 5.721 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 5.721 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.721 * [taylor]: Taking taylor expansion of N in N 5.721 * [backup-simplify]: Simplify 0 into 0 5.721 * [backup-simplify]: Simplify 1 into 1 5.721 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 5.721 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 5.722 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 5.722 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.722 * [taylor]: Taking taylor expansion of N in N 5.722 * [backup-simplify]: Simplify 0 into 0 5.722 * [backup-simplify]: Simplify 1 into 1 5.722 * [backup-simplify]: Simplify (* 1 1) into 1 5.722 * [backup-simplify]: Simplify (* 1 1) into 1 5.723 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 5.723 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 5.724 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.724 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.725 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 5.725 * [backup-simplify]: Simplify 0 into 0 5.726 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.727 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.728 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 5.728 * [backup-simplify]: Simplify 0 into 0 5.729 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.730 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.732 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.732 * [backup-simplify]: Simplify 0 into 0 5.733 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.734 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.736 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.736 * [backup-simplify]: Simplify 0 into 0 5.737 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.739 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.741 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.741 * [backup-simplify]: Simplify 0 into 0 5.743 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.745 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.746 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.747 * [backup-simplify]: Simplify 0 into 0 5.747 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 5.747 * [backup-simplify]: Simplify (/ (/ 0.3333333333333333 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N)))) into (* -0.3333333333333333 (pow N 3)) 5.747 * [approximate]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in (N) around 0 5.747 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 5.747 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 5.747 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 5.747 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.747 * [taylor]: Taking taylor expansion of N in N 5.747 * [backup-simplify]: Simplify 0 into 0 5.747 * [backup-simplify]: Simplify 1 into 1 5.747 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 5.747 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 5.747 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 5.747 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.748 * [taylor]: Taking taylor expansion of N in N 5.748 * [backup-simplify]: Simplify 0 into 0 5.748 * [backup-simplify]: Simplify 1 into 1 5.748 * [backup-simplify]: Simplify (* 1 1) into 1 5.748 * [backup-simplify]: Simplify (* 1 1) into 1 5.749 * [backup-simplify]: Simplify (* -0.3333333333333333 1) into -0.3333333333333333 5.749 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 5.750 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.750 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.751 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (* 0 1)) into 0 5.751 * [backup-simplify]: Simplify 0 into 0 5.752 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.753 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.754 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 5.754 * [backup-simplify]: Simplify 0 into 0 5.755 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.757 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.758 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.758 * [backup-simplify]: Simplify 0 into 0 5.760 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.761 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.763 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.763 * [backup-simplify]: Simplify 0 into 0 5.764 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.766 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.767 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.767 * [backup-simplify]: Simplify 0 into 0 5.769 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.771 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.772 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.773 * [backup-simplify]: Simplify 0 into 0 5.773 * [backup-simplify]: Simplify (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) into (/ 0.3333333333333333 (pow N 3)) 5.773 * * * [progress]: simplifying candidates 5.776 * [simplify]: Simplifying: (* (/ (exp (/ 1.0 N)) (exp (/ 0.5 (* N N)))) (exp (/ (/ 0.3333333333333333 N) (* N N)))) (* (exp (- (/ 1.0 N) (/ 0.5 (* N N)))) (exp (/ (/ 0.3333333333333333 N) (* N N)))) (log (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ (/ 0.3333333333333333 N) (* N N)))) (exp (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ (/ 0.3333333333333333 N) (* N N)))) (* (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ (/ 0.3333333333333333 N) (* N N)))) (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ (/ 0.3333333333333333 N) (* N N))))) (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ (/ 0.3333333333333333 N) (* N N)))) (* (* (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ (/ 0.3333333333333333 N) (* N N))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ (/ 0.3333333333333333 N) (* N N)))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ (/ 0.3333333333333333 N) (* N N)))) (sqrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ (/ 0.3333333333333333 N) (* N N)))) (sqrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ (/ 0.3333333333333333 N) (* N N)))) (+ (* (- (* 1.0 (* N N)) (* N 0.5)) (* N N)) (* (* N (* N N)) (/ 0.3333333333333333 N))) (* (* N (* N N)) (* N N)) (+ (* (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3)) (* N N)) (* (+ (* (/ 1.0 N) (/ 1.0 N)) (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (* (/ 1.0 N) (/ 0.5 (* N N))))) (/ 0.3333333333333333 N))) (* (+ (* (/ 1.0 N) (/ 1.0 N)) (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (* (/ 1.0 N) (/ 0.5 (* N N))))) (* N N)) (+ (* (- (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N)))) (* N N)) (* (+ (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 N))) (* (+ (/ 1.0 N) (/ 0.5 (* N N))) (* N N)) (+ (pow (- (/ 1.0 N) (/ 0.5 (* N N))) 3) (pow (/ (/ 0.3333333333333333 N) (* N N)) 3)) (+ (* (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N)))) (- (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (* (- (/ 1.0 N) (/ 0.5 (* N N))) (/ (/ 0.3333333333333333 N) (* N N))))) (- (* (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N)))) (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (- (- (/ 1.0 N) (/ 0.5 (* N N))) (/ (/ 0.3333333333333333 N) (* N N))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ (/ 0.3333333333333333 N) (* N N))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ (/ 0.3333333333333333 N) (* N N))) (+ (- (/ 0.5 (* N N))) (/ (/ 0.3333333333333333 N) (* N N))) (+ (- (/ 0.5 (* N N))) (/ (/ 0.3333333333333333 N) (* N N))) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (- (log 0.5) (+ (log N) (log N))) (- (log 0.5) (log (* N 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 0.5) 0.5) (* (* (* N N) (* 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) (cbrt 0.5)) N) (/ (cbrt 0.5) N) (/ (sqrt 0.5) N) (/ (sqrt 0.5) N) (/ 1 N) (/ 0.5 N) (/ 1 (* N N)) (/ (* N N) 0.5) (/ 0.5 N) (/ (* N N) (cbrt 0.5)) (/ (* N N) (sqrt 0.5)) (/ (* N N) 0.5) (- (- (log 0.3333333333333333) (log N)) (+ (log N) (log N))) (- (- (log 0.3333333333333333) (log N)) (log (* N N))) (- (log (/ 0.3333333333333333 N)) (+ (log N) (log N))) (- (log (/ 0.3333333333333333 N)) (log (* N N))) (log (/ (/ 0.3333333333333333 N) (* N N))) (exp (/ (/ 0.3333333333333333 N) (* N N))) (/ (/ (* (* 0.3333333333333333 0.3333333333333333) 0.3333333333333333) (* (* N N) N)) (* (* (* N N) N) (* (* N N) N))) (/ (/ (* (* 0.3333333333333333 0.3333333333333333) 0.3333333333333333) (* (* N N) N)) (* (* (* N N) (* N N)) (* N N))) (/ (* (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (/ 0.3333333333333333 N)) (* (* (* N N) N) (* (* N N) N))) (/ (* (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (/ 0.3333333333333333 N)) (* (* (* N N) (* N N)) (* N N))) (* (cbrt (/ (/ 0.3333333333333333 N) (* N N))) (cbrt (/ (/ 0.3333333333333333 N) (* N N)))) (cbrt (/ (/ 0.3333333333333333 N) (* N N))) (* (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (/ (/ 0.3333333333333333 N) (* N N))) (sqrt (/ (/ 0.3333333333333333 N) (* N N))) (sqrt (/ (/ 0.3333333333333333 N) (* N N))) (- (/ 0.3333333333333333 N)) (- (* N N)) (/ (* (cbrt (/ 0.3333333333333333 N)) (cbrt (/ 0.3333333333333333 N))) N) (/ (cbrt (/ 0.3333333333333333 N)) N) (/ (sqrt (/ 0.3333333333333333 N)) N) (/ (sqrt (/ 0.3333333333333333 N)) N) (/ (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* (cbrt N) (cbrt N))) N) (/ (/ (cbrt 0.3333333333333333) (cbrt N)) N) (/ (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (sqrt N)) N) (/ (/ (cbrt 0.3333333333333333) (sqrt N)) N) (/ (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) 1) N) (/ (/ (cbrt 0.3333333333333333) N) N) (/ (/ (sqrt 0.3333333333333333) (* (cbrt N) (cbrt N))) N) (/ (/ (sqrt 0.3333333333333333) (cbrt N)) N) (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N) (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N) (/ (/ (sqrt 0.3333333333333333) 1) N) (/ (/ (sqrt 0.3333333333333333) N) N) (/ (/ 1 (* (cbrt N) (cbrt N))) N) (/ (/ 0.3333333333333333 (cbrt N)) N) (/ (/ 1 (sqrt N)) N) (/ (/ 0.3333333333333333 (sqrt N)) N) (/ (/ 1 1) N) (/ (/ 0.3333333333333333 N) N) (/ 1 N) (/ (/ 0.3333333333333333 N) N) (/ 0.3333333333333333 N) (/ (/ 1 N) N) (/ 1 (* N N)) (/ (* N N) (/ 0.3333333333333333 N)) (/ (/ 0.3333333333333333 N) N) (/ (* N N) (cbrt (/ 0.3333333333333333 N))) (/ (* N N) (sqrt (/ 0.3333333333333333 N))) (/ (* N N) (/ (cbrt 0.3333333333333333) (cbrt N))) (/ (* N N) (/ (cbrt 0.3333333333333333) (sqrt N))) (/ (* N N) (/ (cbrt 0.3333333333333333) N)) (/ (* N N) (/ (sqrt 0.3333333333333333) (cbrt N))) (/ (* N N) (/ (sqrt 0.3333333333333333) (sqrt N))) (/ (* N N) (/ (sqrt 0.3333333333333333) N)) (/ (* N N) (/ 0.3333333333333333 (cbrt N))) (/ (* N N) (/ 0.3333333333333333 (sqrt N))) (/ (* N N) (/ 0.3333333333333333 N)) (/ (* N N) (/ 0.3333333333333333 N)) (/ (* N N) (/ 1 N)) (* (* N 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)) 5.779 * * [simplify]: iteration 0: 193 enodes 5.853 * * [simplify]: iteration 1: 542 enodes 6.442 * * [simplify]: iteration 2: 3122 enodes 7.612 * * [simplify]: iteration complete: 5000 enodes 7.612 * * [simplify]: Extracting #0: cost 78 inf + 0 7.614 * * [simplify]: Extracting #1: cost 807 inf + 0 7.620 * * [simplify]: Extracting #2: cost 2216 inf + 1205 7.641 * * [simplify]: Extracting #3: cost 1535 inf + 102216 7.713 * * [simplify]: Extracting #4: cost 270 inf + 345522 7.790 * * [simplify]: Extracting #5: cost 9 inf + 405316 7.873 * * [simplify]: Extracting #6: cost 0 inf + 406713 7.965 * * [simplify]: Extracting #7: cost 0 inf + 406411 8.079 * [simplify]: Simplified to: (exp (+ (/ (/ 0.3333333333333333 N) (* N N)) (- (/ 1.0 N) (/ (/ 0.5 N) N)))) (exp (+ (/ (/ 0.3333333333333333 N) (* N N)) (- (/ 1.0 N) (/ (/ 0.5 N) N)))) (log (+ (/ (/ 0.3333333333333333 N) (* N N)) (- (/ 1.0 N) (/ (/ 0.5 N) N)))) (exp (+ (/ (/ 0.3333333333333333 N) (* N N)) (- (/ 1.0 N) (/ (/ 0.5 N) N)))) (* (cbrt (+ (/ (/ 0.3333333333333333 N) (* N N)) (- (/ 1.0 N) (/ (/ 0.5 N) N)))) (cbrt (+ (/ (/ 0.3333333333333333 N) (* N N)) (- (/ 1.0 N) (/ (/ 0.5 N) N))))) (cbrt (+ (/ (/ 0.3333333333333333 N) (* N N)) (- (/ 1.0 N) (/ (/ 0.5 N) N)))) (* (+ (/ (/ 0.3333333333333333 N) (* N N)) (- (/ 1.0 N) (/ (/ 0.5 N) N))) (* (+ (/ (/ 0.3333333333333333 N) (* N N)) (- (/ 1.0 N) (/ (/ 0.5 N) N))) (+ (/ (/ 0.3333333333333333 N) (* N N)) (- (/ 1.0 N) (/ (/ 0.5 N) N))))) (sqrt (+ (/ (/ 0.3333333333333333 N) (* N N)) (- (/ 1.0 N) (/ (/ 0.5 N) N)))) (sqrt (+ (/ (/ 0.3333333333333333 N) (* N N)) (- (/ 1.0 N) (/ (/ 0.5 N) N)))) (+ (* (* N N) (- (* 1.0 (* N N)) (* N 0.5))) (* (/ 0.3333333333333333 N) (* N (* N N)))) (* N (* (* N N) (* N N))) (+ (* (+ (* (/ (/ 0.5 N) N) (+ (/ (/ 0.5 N) N) (/ 1.0 N))) (* (/ 1.0 N) (/ 1.0 N))) (/ 0.3333333333333333 N)) (* (* (- (* (/ 1.0 N) (* (/ 1.0 N) (/ 1.0 N))) (* (/ (/ 0.5 N) N) (* (/ (/ 0.5 N) N) (/ (/ 0.5 N) N)))) N) N)) (* (* N (+ (* (/ (/ 0.5 N) N) (+ (/ (/ 0.5 N) N) (/ 1.0 N))) (* (/ 1.0 N) (/ 1.0 N)))) N) (+ (/ (+ (/ (/ 0.5 N) N) (/ 1.0 N)) (/ N 0.3333333333333333)) (* (- (* (/ 1.0 N) (/ 1.0 N)) (* (/ (/ 0.5 N) N) (/ (/ 0.5 N) N))) (* N N))) (* (+ (/ (/ 0.5 N) N) (/ 1.0 N)) (* N N)) (+ (* (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (/ (/ 0.3333333333333333 N) (* N 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)) (- (/ 1.0 N) (/ (/ 0.5 N) N))) (* (/ (/ 0.3333333333333333 N) (* N N)) (- (/ (/ 0.3333333333333333 N) (* N N)) (- (/ 1.0 N) (/ (/ 0.5 N) N))))) (* (- (- (/ 1.0 N) (/ (/ 0.5 N) N)) (/ (/ 0.3333333333333333 N) (* N N))) (+ (/ (/ 0.3333333333333333 N) (* N N)) (- (/ 1.0 N) (/ (/ 0.5 N) N)))) (- (- (/ 1.0 N) (/ (/ 0.5 N) N)) (/ (/ 0.3333333333333333 N) (* N N))) (+ (/ (/ 0.3333333333333333 N) (* N N)) (- (/ 1.0 N) (/ (/ 0.5 N) N))) (+ (/ (/ 0.3333333333333333 N) (* N N)) (- (/ 1.0 N) (/ (/ 0.5 N) N))) (- (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.5 N) N)) (- (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.5 N) N)) (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))) (log (/ (/ 0.5 N) N)) (log (/ (/ 0.5 N) N)) (log (/ (/ 0.5 N) N)) (exp (/ (/ 0.5 N) N)) (* (/ (/ 0.5 N) N) (* (/ (/ 0.5 N) N) (/ (/ 0.5 N) N))) (* (/ (/ 0.5 N) N) (* (/ (/ 0.5 N) N) (/ (/ 0.5 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)) (/ (cbrt 0.5) N) (/ (sqrt 0.5) N) (/ (sqrt 0.5) N) (/ 1 N) (/ 0.5 N) (/ 1 (* N N)) (* (/ N 0.5) N) (/ 0.5 N) (/ N (/ (cbrt 0.5) N)) (/ N (/ (sqrt 0.5) N)) (* (/ N 0.5) N) (log (/ (/ 0.3333333333333333 N) (* N N))) (log (/ (/ 0.3333333333333333 N) (* N N))) (log (/ (/ 0.3333333333333333 N) (* N N))) (log (/ (/ 0.3333333333333333 N) (* N N))) (log (/ (/ 0.3333333333333333 N) (* N N))) (exp (/ (/ 0.3333333333333333 N) (* N N))) (* (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (/ (/ 0.3333333333333333 N) (* N N))) (* (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (/ (/ 0.3333333333333333 N) (* N N))) (* (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (/ (/ 0.3333333333333333 N) (* N N))) (* (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (/ (/ 0.3333333333333333 N) (* N N))) (* (cbrt (/ (/ 0.3333333333333333 N) (* N N))) (cbrt (/ (/ 0.3333333333333333 N) (* N N)))) (cbrt (/ (/ 0.3333333333333333 N) (* N N))) (* (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (/ (/ 0.3333333333333333 N) (* N N))) (sqrt (/ (/ 0.3333333333333333 N) (* N N))) (sqrt (/ (/ 0.3333333333333333 N) (* N N))) (- (/ 0.3333333333333333 N)) (- (* N N)) (/ (cbrt (/ 0.3333333333333333 N)) (/ N (cbrt (/ 0.3333333333333333 N)))) (/ (cbrt (/ 0.3333333333333333 N)) N) (/ (sqrt (/ 0.3333333333333333 N)) N) (/ (sqrt (/ 0.3333333333333333 N)) N) (/ (* (/ (cbrt 0.3333333333333333) (cbrt N)) (/ (cbrt 0.3333333333333333) (cbrt N))) N) (/ (/ (cbrt 0.3333333333333333) (cbrt N)) N) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* N (sqrt N))) (/ (/ (cbrt 0.3333333333333333) (sqrt N)) N) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) N) (/ (/ (cbrt 0.3333333333333333) N) N) (/ (/ (sqrt 0.3333333333333333) N) (* (cbrt N) (cbrt N))) (/ (/ (sqrt 0.3333333333333333) N) (cbrt N)) (/ (/ (sqrt 0.3333333333333333) N) (sqrt N)) (/ (/ (sqrt 0.3333333333333333) N) (sqrt N)) (/ (sqrt 0.3333333333333333) N) (/ (/ (sqrt 0.3333333333333333) N) N) (/ (/ 1 (* (cbrt N) (cbrt N))) N) (/ (/ 0.3333333333333333 (cbrt N)) N) (/ (/ 1 (sqrt N)) N) (/ (/ 0.3333333333333333 (sqrt N)) N) (/ 1 N) (/ (/ 0.3333333333333333 N) N) (/ 1 N) (/ (/ 0.3333333333333333 N) N) (/ 0.3333333333333333 N) (/ 1 (* N N)) (/ 1 (* N N)) (/ (* (* N N) N) 0.3333333333333333) (/ (/ 0.3333333333333333 N) N) (/ (* N N) (cbrt (/ 0.3333333333333333 N))) (/ N (/ (sqrt (/ 0.3333333333333333 N)) N)) (/ (* N N) (/ (cbrt 0.3333333333333333) (cbrt N))) (* (/ N (cbrt 0.3333333333333333)) (* N (sqrt N))) (/ (* N N) (/ (cbrt 0.3333333333333333) N)) (* (/ (* N N) (sqrt 0.3333333333333333)) (cbrt N)) (* (sqrt N) (/ N (/ (sqrt 0.3333333333333333) N))) (* (/ N (/ (sqrt 0.3333333333333333) N)) N) (* (/ N (/ 0.3333333333333333 N)) (cbrt N)) (* (sqrt N) (/ N (/ 0.3333333333333333 N))) (/ (* (* N N) N) 0.3333333333333333) (/ (* (* N N) N) 0.3333333333333333) (* N (* N N)) (* N (* N N)) (- (+ (/ (/ 0.3333333333333333 N) (* N N)) (/ 1.0 N)) (/ (/ 0.5 N) N)) (- (+ (/ (/ 0.3333333333333333 N) (* N N)) (/ 1.0 N)) (/ (/ 0.5 N) N)) (- (+ (/ (/ 0.3333333333333333 N) (* N N)) (/ 1.0 N)) (/ (/ 0.5 N) N)) (/ (/ 0.5 N) N) (/ (/ 0.5 N) N) (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N)) 8.091 * * * [progress]: adding candidates to table 8.559 * * [progress]: iteration 4 / 4 8.559 * * * [progress]: picking best candidate 8.572 * * * * [pick]: Picked # 8.572 * * * [progress]: localizing error 8.641 * * * [progress]: generating rewritten candidates 8.641 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 8.684 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 8.740 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 8.803 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 8.866 * * * [progress]: generating series expansions 8.866 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 8.867 * [backup-simplify]: Simplify (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) into (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) 8.867 * [approximate]: Taking taylor expansion of (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) in (N) around 0 8.867 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) in N 8.867 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 8.867 * [taylor]: Taking taylor expansion of 0.5 in N 8.867 * [backup-simplify]: Simplify 0.5 into 0.5 8.867 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 8.867 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.867 * [taylor]: Taking taylor expansion of N in N 8.867 * [backup-simplify]: Simplify 0 into 0 8.867 * [backup-simplify]: Simplify 1 into 1 8.867 * [backup-simplify]: Simplify (* 1 1) into 1 8.868 * [backup-simplify]: Simplify (/ 1 1) into 1 8.868 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 8.868 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 8.868 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.868 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 8.868 * [taylor]: Taking taylor expansion of (pow N 3) in N 8.868 * [taylor]: Taking taylor expansion of N in N 8.868 * [backup-simplify]: Simplify 0 into 0 8.868 * [backup-simplify]: Simplify 1 into 1 8.868 * [backup-simplify]: Simplify (* 1 1) into 1 8.868 * [backup-simplify]: Simplify (* 1 1) into 1 8.869 * [backup-simplify]: Simplify (/ 1 1) into 1 8.869 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) in N 8.869 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 8.869 * [taylor]: Taking taylor expansion of 0.5 in N 8.869 * [backup-simplify]: Simplify 0.5 into 0.5 8.869 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 8.869 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.869 * [taylor]: Taking taylor expansion of N in N 8.869 * [backup-simplify]: Simplify 0 into 0 8.869 * [backup-simplify]: Simplify 1 into 1 8.869 * [backup-simplify]: Simplify (* 1 1) into 1 8.869 * [backup-simplify]: Simplify (/ 1 1) into 1 8.869 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 8.869 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 8.870 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.870 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 8.870 * [taylor]: Taking taylor expansion of (pow N 3) in N 8.870 * [taylor]: Taking taylor expansion of N in N 8.870 * [backup-simplify]: Simplify 0 into 0 8.870 * [backup-simplify]: Simplify 1 into 1 8.870 * [backup-simplify]: Simplify (* 1 1) into 1 8.870 * [backup-simplify]: Simplify (* 1 1) into 1 8.870 * [backup-simplify]: Simplify (/ 1 1) into 1 8.871 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 8.871 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 8.872 * [backup-simplify]: Simplify (+ 0 (- 0.3333333333333333)) into (- 0.3333333333333333) 8.872 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 8.872 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.873 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.873 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.874 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 8.874 * [backup-simplify]: Simplify (- 0) into 0 8.874 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 8.875 * [backup-simplify]: Simplify 0.5 into 0.5 8.875 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.876 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 8.876 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.877 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.878 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 8.878 * [backup-simplify]: Simplify (- 0) into 0 8.879 * [backup-simplify]: Simplify (+ 0 0) into 0 8.879 * [backup-simplify]: Simplify 0 into 0 8.879 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.880 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 8.881 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.882 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.884 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.884 * [backup-simplify]: Simplify (- 0) into 0 8.884 * [backup-simplify]: Simplify (+ 0 0) into 0 8.884 * [backup-simplify]: Simplify 0 into 0 8.885 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.887 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.890 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.892 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.893 * [backup-simplify]: Simplify (- 0) into 0 8.893 * [backup-simplify]: Simplify (+ 0 0) into 0 8.893 * [backup-simplify]: Simplify 0 into 0 8.894 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.896 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.898 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.899 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.902 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.902 * [backup-simplify]: Simplify (- 0) into 0 8.903 * [backup-simplify]: Simplify (+ 0 0) into 0 8.903 * [backup-simplify]: Simplify 0 into 0 8.904 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.906 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.912 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.913 * [backup-simplify]: Simplify (- 0) into 0 8.913 * [backup-simplify]: Simplify (+ 0 0) into 0 8.913 * [backup-simplify]: Simplify 0 into 0 8.915 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.918 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.919 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 8.921 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 8.922 * [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 8.924 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 8.924 * [backup-simplify]: Simplify (- 0) into 0 8.925 * [backup-simplify]: Simplify (+ 0 0) into 0 8.925 * [backup-simplify]: Simplify 0 into 0 8.926 * [backup-simplify]: Simplify (+ (* 0.5 (pow (/ 1 N) 2)) (* (- 0.3333333333333333) (pow (/ 1 N) 3))) into (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) 8.926 * [backup-simplify]: Simplify (- (/ 0.5 (* (/ 1 N) (/ 1 N))) (/ (/ 0.3333333333333333 (/ 1 N)) (* (/ 1 N) (/ 1 N)))) into (- (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))) 8.926 * [approximate]: Taking taylor expansion of (- (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))) in (N) around 0 8.926 * [taylor]: Taking taylor expansion of (- (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))) in N 8.926 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 8.926 * [taylor]: Taking taylor expansion of 0.5 in N 8.926 * [backup-simplify]: Simplify 0.5 into 0.5 8.926 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.926 * [taylor]: Taking taylor expansion of N in N 8.926 * [backup-simplify]: Simplify 0 into 0 8.926 * [backup-simplify]: Simplify 1 into 1 8.926 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 8.926 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 8.926 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.926 * [taylor]: Taking taylor expansion of (pow N 3) in N 8.927 * [taylor]: Taking taylor expansion of N in N 8.927 * [backup-simplify]: Simplify 0 into 0 8.927 * [backup-simplify]: Simplify 1 into 1 8.927 * [taylor]: Taking taylor expansion of (- (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))) in N 8.927 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 8.927 * [taylor]: Taking taylor expansion of 0.5 in N 8.927 * [backup-simplify]: Simplify 0.5 into 0.5 8.927 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.927 * [taylor]: Taking taylor expansion of N in N 8.927 * [backup-simplify]: Simplify 0 into 0 8.927 * [backup-simplify]: Simplify 1 into 1 8.927 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 8.927 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 8.927 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.927 * [taylor]: Taking taylor expansion of (pow N 3) in N 8.927 * [taylor]: Taking taylor expansion of N in N 8.927 * [backup-simplify]: Simplify 0 into 0 8.927 * [backup-simplify]: Simplify 1 into 1 8.927 * [backup-simplify]: Simplify (* 1 1) into 1 8.928 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.928 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 8.928 * [backup-simplify]: Simplify 0.5 into 0.5 8.929 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.930 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 8.930 * [backup-simplify]: Simplify (* 1 1) into 1 8.930 * [backup-simplify]: Simplify (* 1 1) into 1 8.931 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 8.931 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 8.932 * [backup-simplify]: Simplify (+ 0 (- 0.3333333333333333)) into (- 0.3333333333333333) 8.933 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 8.933 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.934 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 8.935 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.936 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.937 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 8.937 * [backup-simplify]: Simplify (- 0) into 0 8.937 * [backup-simplify]: Simplify (+ 0 0) into 0 8.937 * [backup-simplify]: Simplify 0 into 0 8.938 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.939 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.940 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.940 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.941 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 8.941 * [backup-simplify]: Simplify (- 0) into 0 8.942 * [backup-simplify]: Simplify (+ 0 0) into 0 8.942 * [backup-simplify]: Simplify 0 into 0 8.943 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.943 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.945 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.945 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.946 * [backup-simplify]: Simplify (- 0) into 0 8.946 * [backup-simplify]: Simplify (+ 0 0) into 0 8.946 * [backup-simplify]: Simplify 0 into 0 8.947 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.948 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.948 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.949 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.950 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.950 * [backup-simplify]: Simplify (- 0) into 0 8.950 * [backup-simplify]: Simplify (+ 0 0) into 0 8.950 * [backup-simplify]: Simplify 0 into 0 8.951 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.952 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.954 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.955 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.955 * [backup-simplify]: Simplify (- 0) into 0 8.955 * [backup-simplify]: Simplify (+ 0 0) into 0 8.955 * [backup-simplify]: Simplify 0 into 0 8.956 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 8.958 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 8.959 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.960 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.960 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.961 * [backup-simplify]: Simplify (- 0) into 0 8.961 * [backup-simplify]: Simplify (+ 0 0) into 0 8.961 * [backup-simplify]: Simplify 0 into 0 8.962 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 N) 3)) (* 0.5 (pow (/ 1 N) 2))) into (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) 8.962 * [backup-simplify]: Simplify (- (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N)))) (/ (/ 0.3333333333333333 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N))))) into (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) 8.962 * [approximate]: Taking taylor expansion of (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in (N) around 0 8.962 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in N 8.962 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 8.962 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 8.962 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.962 * [taylor]: Taking taylor expansion of (pow N 3) in N 8.962 * [taylor]: Taking taylor expansion of N in N 8.962 * [backup-simplify]: Simplify 0 into 0 8.962 * [backup-simplify]: Simplify 1 into 1 8.962 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 8.962 * [taylor]: Taking taylor expansion of 0.5 in N 8.962 * [backup-simplify]: Simplify 0.5 into 0.5 8.962 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.962 * [taylor]: Taking taylor expansion of N in N 8.962 * [backup-simplify]: Simplify 0 into 0 8.962 * [backup-simplify]: Simplify 1 into 1 8.962 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in N 8.962 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 8.962 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 8.962 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.962 * [taylor]: Taking taylor expansion of (pow N 3) in N 8.962 * [taylor]: Taking taylor expansion of N in N 8.962 * [backup-simplify]: Simplify 0 into 0 8.962 * [backup-simplify]: Simplify 1 into 1 8.962 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 8.962 * [taylor]: Taking taylor expansion of 0.5 in N 8.962 * [backup-simplify]: Simplify 0.5 into 0.5 8.962 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.962 * [taylor]: Taking taylor expansion of N in N 8.962 * [backup-simplify]: Simplify 0 into 0 8.962 * [backup-simplify]: Simplify 1 into 1 8.963 * [backup-simplify]: Simplify (* 1 1) into 1 8.963 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.967 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 8.967 * [backup-simplify]: Simplify 0.5 into 0.5 8.968 * [backup-simplify]: Simplify (* 1 1) into 1 8.968 * [backup-simplify]: Simplify (* 1 1) into 1 8.968 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 8.969 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.969 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 8.969 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 8.970 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.970 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.970 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.971 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 8.971 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.972 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 8.972 * [backup-simplify]: Simplify (+ 0 0) into 0 8.972 * [backup-simplify]: Simplify 0 into 0 8.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.974 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 8.975 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.976 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.977 * [backup-simplify]: Simplify (+ 0 0) into 0 8.977 * [backup-simplify]: Simplify 0 into 0 8.978 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.979 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.980 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.982 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.983 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.983 * [backup-simplify]: Simplify (+ 0 0) into 0 8.983 * [backup-simplify]: Simplify 0 into 0 8.985 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.987 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.989 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.990 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.991 * [backup-simplify]: Simplify (+ 0 0) into 0 8.991 * [backup-simplify]: Simplify 0 into 0 8.992 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.993 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.995 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.997 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.998 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.999 * [backup-simplify]: Simplify (+ 0 0) into 0 8.999 * [backup-simplify]: Simplify 0 into 0 9.001 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.002 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.003 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.005 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 9.008 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 9.008 * [backup-simplify]: Simplify (+ 0 0) into 0 9.008 * [backup-simplify]: Simplify 0 into 0 9.009 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 (- N)) 3)) (* 0.5 (pow (/ 1 (- N)) 2))) into (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) 9.009 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 9.009 * [backup-simplify]: Simplify (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) into (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) 9.009 * [approximate]: Taking taylor expansion of (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) in (N) around 0 9.009 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) in N 9.009 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 9.009 * [taylor]: Taking taylor expansion of 0.5 in N 9.009 * [backup-simplify]: Simplify 0.5 into 0.5 9.009 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 9.009 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.009 * [taylor]: Taking taylor expansion of N in N 9.009 * [backup-simplify]: Simplify 0 into 0 9.009 * [backup-simplify]: Simplify 1 into 1 9.010 * [backup-simplify]: Simplify (* 1 1) into 1 9.010 * [backup-simplify]: Simplify (/ 1 1) into 1 9.010 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 9.010 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 9.010 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.010 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 9.010 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.010 * [taylor]: Taking taylor expansion of N in N 9.010 * [backup-simplify]: Simplify 0 into 0 9.011 * [backup-simplify]: Simplify 1 into 1 9.011 * [backup-simplify]: Simplify (* 1 1) into 1 9.011 * [backup-simplify]: Simplify (* 1 1) into 1 9.012 * [backup-simplify]: Simplify (/ 1 1) into 1 9.012 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) in N 9.012 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 9.012 * [taylor]: Taking taylor expansion of 0.5 in N 9.012 * [backup-simplify]: Simplify 0.5 into 0.5 9.012 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 9.012 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.012 * [taylor]: Taking taylor expansion of N in N 9.012 * [backup-simplify]: Simplify 0 into 0 9.012 * [backup-simplify]: Simplify 1 into 1 9.012 * [backup-simplify]: Simplify (* 1 1) into 1 9.013 * [backup-simplify]: Simplify (/ 1 1) into 1 9.013 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 9.013 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 9.013 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.013 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 9.013 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.013 * [taylor]: Taking taylor expansion of N in N 9.013 * [backup-simplify]: Simplify 0 into 0 9.013 * [backup-simplify]: Simplify 1 into 1 9.013 * [backup-simplify]: Simplify (* 1 1) into 1 9.014 * [backup-simplify]: Simplify (* 1 1) into 1 9.014 * [backup-simplify]: Simplify (/ 1 1) into 1 9.015 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 9.015 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 9.016 * [backup-simplify]: Simplify (+ 0 (- 0.3333333333333333)) into (- 0.3333333333333333) 9.016 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 9.017 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 9.018 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.018 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.020 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 9.020 * [backup-simplify]: Simplify (- 0) into 0 9.021 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 9.021 * [backup-simplify]: Simplify 0.5 into 0.5 9.021 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.023 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 9.023 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.024 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.025 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 9.025 * [backup-simplify]: Simplify (- 0) into 0 9.025 * [backup-simplify]: Simplify (+ 0 0) into 0 9.026 * [backup-simplify]: Simplify 0 into 0 9.026 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.027 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 9.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.029 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.030 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.030 * [backup-simplify]: Simplify (- 0) into 0 9.030 * [backup-simplify]: Simplify (+ 0 0) into 0 9.030 * [backup-simplify]: Simplify 0 into 0 9.031 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.032 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.033 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.034 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.035 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.035 * [backup-simplify]: Simplify (- 0) into 0 9.036 * [backup-simplify]: Simplify (+ 0 0) into 0 9.036 * [backup-simplify]: Simplify 0 into 0 9.036 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.038 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.038 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.039 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.041 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.041 * [backup-simplify]: Simplify (- 0) into 0 9.041 * [backup-simplify]: Simplify (+ 0 0) into 0 9.041 * [backup-simplify]: Simplify 0 into 0 9.042 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.044 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.046 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.047 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.047 * [backup-simplify]: Simplify (- 0) into 0 9.048 * [backup-simplify]: Simplify (+ 0 0) into 0 9.048 * [backup-simplify]: Simplify 0 into 0 9.049 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.051 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 9.054 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 9.055 * [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 9.057 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 9.057 * [backup-simplify]: Simplify (- 0) into 0 9.057 * [backup-simplify]: Simplify (+ 0 0) into 0 9.057 * [backup-simplify]: Simplify 0 into 0 9.058 * [backup-simplify]: Simplify (+ (* 0.5 (pow (/ 1 N) 2)) (* (- 0.3333333333333333) (pow (/ 1 N) 3))) into (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) 9.059 * [backup-simplify]: Simplify (- (/ 0.5 (* (/ 1 N) (/ 1 N))) (/ (/ 0.3333333333333333 (/ 1 N)) (* (/ 1 N) (/ 1 N)))) into (- (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))) 9.059 * [approximate]: Taking taylor expansion of (- (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))) in (N) around 0 9.059 * [taylor]: Taking taylor expansion of (- (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))) in N 9.059 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 9.059 * [taylor]: Taking taylor expansion of 0.5 in N 9.059 * [backup-simplify]: Simplify 0.5 into 0.5 9.059 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.059 * [taylor]: Taking taylor expansion of N in N 9.059 * [backup-simplify]: Simplify 0 into 0 9.059 * [backup-simplify]: Simplify 1 into 1 9.059 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 9.059 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 9.059 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.059 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.059 * [taylor]: Taking taylor expansion of N in N 9.059 * [backup-simplify]: Simplify 0 into 0 9.059 * [backup-simplify]: Simplify 1 into 1 9.059 * [taylor]: Taking taylor expansion of (- (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))) in N 9.059 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 9.059 * [taylor]: Taking taylor expansion of 0.5 in N 9.059 * [backup-simplify]: Simplify 0.5 into 0.5 9.059 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.059 * [taylor]: Taking taylor expansion of N in N 9.059 * [backup-simplify]: Simplify 0 into 0 9.059 * [backup-simplify]: Simplify 1 into 1 9.059 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 9.059 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 9.059 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.059 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.059 * [taylor]: Taking taylor expansion of N in N 9.059 * [backup-simplify]: Simplify 0 into 0 9.059 * [backup-simplify]: Simplify 1 into 1 9.060 * [backup-simplify]: Simplify (* 1 1) into 1 9.060 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 9.061 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 9.061 * [backup-simplify]: Simplify 0.5 into 0.5 9.061 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.062 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 9.062 * [backup-simplify]: Simplify (* 1 1) into 1 9.063 * [backup-simplify]: Simplify (* 1 1) into 1 9.063 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 9.064 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 9.064 * [backup-simplify]: Simplify (+ 0 (- 0.3333333333333333)) into (- 0.3333333333333333) 9.065 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 9.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.067 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 9.067 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.068 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.069 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 9.069 * [backup-simplify]: Simplify (- 0) into 0 9.070 * [backup-simplify]: Simplify (+ 0 0) into 0 9.070 * [backup-simplify]: Simplify 0 into 0 9.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.072 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.074 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 9.075 * [backup-simplify]: Simplify (- 0) into 0 9.075 * [backup-simplify]: Simplify (+ 0 0) into 0 9.075 * [backup-simplify]: Simplify 0 into 0 9.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.079 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.080 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.081 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.082 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.083 * [backup-simplify]: Simplify (- 0) into 0 9.083 * [backup-simplify]: Simplify (+ 0 0) into 0 9.083 * [backup-simplify]: Simplify 0 into 0 9.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.086 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.090 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.091 * [backup-simplify]: Simplify (- 0) into 0 9.091 * [backup-simplify]: Simplify (+ 0 0) into 0 9.091 * [backup-simplify]: Simplify 0 into 0 9.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.101 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.105 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.106 * [backup-simplify]: Simplify (- 0) into 0 9.106 * [backup-simplify]: Simplify (+ 0 0) into 0 9.107 * [backup-simplify]: Simplify 0 into 0 9.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 9.110 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 9.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.113 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.113 * [backup-simplify]: Simplify (- 0) into 0 9.114 * [backup-simplify]: Simplify (+ 0 0) into 0 9.114 * [backup-simplify]: Simplify 0 into 0 9.114 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 N) 3)) (* 0.5 (pow (/ 1 N) 2))) into (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) 9.115 * [backup-simplify]: Simplify (- (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N)))) (/ (/ 0.3333333333333333 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N))))) into (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) 9.115 * [approximate]: Taking taylor expansion of (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in (N) around 0 9.115 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in N 9.115 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 9.115 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 9.115 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.115 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.115 * [taylor]: Taking taylor expansion of N in N 9.115 * [backup-simplify]: Simplify 0 into 0 9.115 * [backup-simplify]: Simplify 1 into 1 9.115 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 9.115 * [taylor]: Taking taylor expansion of 0.5 in N 9.115 * [backup-simplify]: Simplify 0.5 into 0.5 9.115 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.115 * [taylor]: Taking taylor expansion of N in N 9.115 * [backup-simplify]: Simplify 0 into 0 9.115 * [backup-simplify]: Simplify 1 into 1 9.115 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in N 9.115 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 9.115 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 9.115 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.115 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.115 * [taylor]: Taking taylor expansion of N in N 9.115 * [backup-simplify]: Simplify 0 into 0 9.115 * [backup-simplify]: Simplify 1 into 1 9.115 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 9.115 * [taylor]: Taking taylor expansion of 0.5 in N 9.115 * [backup-simplify]: Simplify 0.5 into 0.5 9.115 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.115 * [taylor]: Taking taylor expansion of N in N 9.115 * [backup-simplify]: Simplify 0 into 0 9.115 * [backup-simplify]: Simplify 1 into 1 9.116 * [backup-simplify]: Simplify (* 1 1) into 1 9.116 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 9.116 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 9.116 * [backup-simplify]: Simplify 0.5 into 0.5 9.116 * [backup-simplify]: Simplify (* 1 1) into 1 9.117 * [backup-simplify]: Simplify (* 1 1) into 1 9.117 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 9.117 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.118 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 9.118 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 9.118 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.119 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.119 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.120 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 9.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.121 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 9.121 * [backup-simplify]: Simplify (+ 0 0) into 0 9.121 * [backup-simplify]: Simplify 0 into 0 9.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.123 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 9.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.124 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.124 * [backup-simplify]: Simplify (+ 0 0) into 0 9.124 * [backup-simplify]: Simplify 0 into 0 9.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.126 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.128 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.129 * [backup-simplify]: Simplify (+ 0 0) into 0 9.129 * [backup-simplify]: Simplify 0 into 0 9.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.131 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.133 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.133 * [backup-simplify]: Simplify (+ 0 0) into 0 9.133 * [backup-simplify]: Simplify 0 into 0 9.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.135 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.137 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.137 * [backup-simplify]: Simplify (+ 0 0) into 0 9.138 * [backup-simplify]: Simplify 0 into 0 9.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.140 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 9.143 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 9.143 * [backup-simplify]: Simplify (+ 0 0) into 0 9.143 * [backup-simplify]: Simplify 0 into 0 9.144 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 (- N)) 3)) (* 0.5 (pow (/ 1 (- N)) 2))) into (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) 9.144 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 9.144 * [backup-simplify]: Simplify (sqrt (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) into (sqrt (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3))))) 9.144 * [approximate]: Taking taylor expansion of (sqrt (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3))))) in (N) around 0 9.144 * [taylor]: Taking taylor expansion of (sqrt (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3))))) in N 9.144 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) in N 9.144 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 9.144 * [taylor]: Taking taylor expansion of 0.5 in N 9.144 * [backup-simplify]: Simplify 0.5 into 0.5 9.144 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 9.144 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.144 * [taylor]: Taking taylor expansion of N in N 9.144 * [backup-simplify]: Simplify 0 into 0 9.144 * [backup-simplify]: Simplify 1 into 1 9.145 * [backup-simplify]: Simplify (* 1 1) into 1 9.145 * [backup-simplify]: Simplify (/ 1 1) into 1 9.145 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 9.145 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 9.145 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.145 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 9.145 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.145 * [taylor]: Taking taylor expansion of N in N 9.145 * [backup-simplify]: Simplify 0 into 0 9.145 * [backup-simplify]: Simplify 1 into 1 9.146 * [backup-simplify]: Simplify (* 1 1) into 1 9.146 * [backup-simplify]: Simplify (* 1 1) into 1 9.146 * [backup-simplify]: Simplify (/ 1 1) into 1 9.147 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 9.147 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 9.149 * [backup-simplify]: Simplify (+ 0 (- 0.3333333333333333)) into (- 0.3333333333333333) 9.149 * [backup-simplify]: Simplify (sqrt 0) into 0 9.151 * [backup-simplify]: Simplify (/ (- 0.3333333333333333) (* 2 (sqrt 0))) into +nan.0 9.151 * [taylor]: Taking taylor expansion of (sqrt (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3))))) in N 9.151 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) in N 9.151 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 9.151 * [taylor]: Taking taylor expansion of 0.5 in N 9.151 * [backup-simplify]: Simplify 0.5 into 0.5 9.151 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 9.151 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.151 * [taylor]: Taking taylor expansion of N in N 9.151 * [backup-simplify]: Simplify 0 into 0 9.151 * [backup-simplify]: Simplify 1 into 1 9.152 * [backup-simplify]: Simplify (* 1 1) into 1 9.152 * [backup-simplify]: Simplify (/ 1 1) into 1 9.152 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 9.152 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 9.152 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.152 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 9.152 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.152 * [taylor]: Taking taylor expansion of N in N 9.152 * [backup-simplify]: Simplify 0 into 0 9.152 * [backup-simplify]: Simplify 1 into 1 9.153 * [backup-simplify]: Simplify (* 1 1) into 1 9.153 * [backup-simplify]: Simplify (* 1 1) into 1 9.154 * [backup-simplify]: Simplify (/ 1 1) into 1 9.154 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 9.154 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 9.155 * [backup-simplify]: Simplify (+ 0 (- 0.3333333333333333)) into (- 0.3333333333333333) 9.156 * [backup-simplify]: Simplify (sqrt 0) into 0 9.158 * [backup-simplify]: Simplify (/ (- 0.3333333333333333) (* 2 (sqrt 0))) into +nan.0 9.158 * [backup-simplify]: Simplify 0 into 0 9.158 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.159 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 9.159 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.160 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.162 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 9.162 * [backup-simplify]: Simplify (- 0) into 0 9.162 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 9.166 * [backup-simplify]: Simplify (/ (- 0.5 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.166 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.166 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.168 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 9.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.170 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.171 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 9.171 * [backup-simplify]: Simplify (- 0) into 0 9.172 * [backup-simplify]: Simplify (+ 0 0) into 0 9.174 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.174 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.174 * [backup-simplify]: Simplify (+ (* +nan.0 N) (+ +nan.0 (* +nan.0 (/ 1 N)))) into (- (+ (* +nan.0 N) (- (+ (* +nan.0 (/ 1 N)) (- +nan.0))))) 9.175 * [backup-simplify]: Simplify (sqrt (- (/ 0.5 (* (/ 1 N) (/ 1 N))) (/ (/ 0.3333333333333333 (/ 1 N)) (* (/ 1 N) (/ 1 N))))) into (sqrt (- (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3)))) 9.175 * [approximate]: Taking taylor expansion of (sqrt (- (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3)))) in (N) around 0 9.175 * [taylor]: Taking taylor expansion of (sqrt (- (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3)))) in N 9.175 * [taylor]: Taking taylor expansion of (- (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))) in N 9.175 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 9.175 * [taylor]: Taking taylor expansion of 0.5 in N 9.175 * [backup-simplify]: Simplify 0.5 into 0.5 9.175 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.175 * [taylor]: Taking taylor expansion of N in N 9.175 * [backup-simplify]: Simplify 0 into 0 9.175 * [backup-simplify]: Simplify 1 into 1 9.175 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 9.175 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 9.175 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.175 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.175 * [taylor]: Taking taylor expansion of N in N 9.175 * [backup-simplify]: Simplify 0 into 0 9.175 * [backup-simplify]: Simplify 1 into 1 9.175 * [backup-simplify]: Simplify (* 1 1) into 1 9.176 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 9.176 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 9.176 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5) 9.177 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.177 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 9.177 * [backup-simplify]: Simplify (* 1 1) into 1 9.178 * [backup-simplify]: Simplify (* 1 1) into 1 9.178 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 9.178 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 9.179 * [backup-simplify]: Simplify (+ 0 (- 0.3333333333333333)) into (- 0.3333333333333333) 9.180 * [backup-simplify]: Simplify (/ (- 0.3333333333333333) (* 2 (sqrt 0.5))) into (/ -0.16666666666666666 (sqrt 0.5)) 9.180 * [taylor]: Taking taylor expansion of (sqrt (- (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3)))) in N 9.180 * [taylor]: Taking taylor expansion of (- (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))) in N 9.180 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 9.180 * [taylor]: Taking taylor expansion of 0.5 in N 9.180 * [backup-simplify]: Simplify 0.5 into 0.5 9.180 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.180 * [taylor]: Taking taylor expansion of N in N 9.180 * [backup-simplify]: Simplify 0 into 0 9.180 * [backup-simplify]: Simplify 1 into 1 9.180 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 9.180 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 9.180 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.180 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.180 * [taylor]: Taking taylor expansion of N in N 9.181 * [backup-simplify]: Simplify 0 into 0 9.181 * [backup-simplify]: Simplify 1 into 1 9.181 * [backup-simplify]: Simplify (* 1 1) into 1 9.181 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 9.181 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 9.182 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5) 9.182 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.182 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 9.183 * [backup-simplify]: Simplify (* 1 1) into 1 9.183 * [backup-simplify]: Simplify (* 1 1) into 1 9.183 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 9.184 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 9.184 * [backup-simplify]: Simplify (+ 0 (- 0.3333333333333333)) into (- 0.3333333333333333) 9.185 * [backup-simplify]: Simplify (/ (- 0.3333333333333333) (* 2 (sqrt 0.5))) into (/ -0.16666666666666666 (sqrt 0.5)) 9.186 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5) 9.186 * [backup-simplify]: Simplify (/ -0.16666666666666666 (sqrt 0.5)) into (/ -0.16666666666666666 (sqrt 0.5)) 9.187 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.188 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 9.188 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.188 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.189 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 9.189 * [backup-simplify]: Simplify (- 0) into 0 9.189 * [backup-simplify]: Simplify (+ 0 0) into 0 9.193 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -0.16666666666666666 (sqrt 0.5)) 2) (+)) (* 2 (sqrt 0.5))) into (/ -0.013888888888888888 (pow (sqrt 0.5) 3)) 9.194 * [backup-simplify]: Simplify (/ -0.013888888888888888 (pow (sqrt 0.5) 3)) into (/ -0.013888888888888888 (pow (sqrt 0.5) 3)) 9.196 * [backup-simplify]: Simplify (+ (* (/ -0.013888888888888888 (pow (sqrt 0.5) 3)) (pow (/ 1 N) 3)) (+ (* (/ -0.16666666666666666 (sqrt 0.5)) (pow (/ 1 N) 2)) (* (sqrt 0.5) (/ 1 N)))) into (- (/ (sqrt 0.5) N) (+ (* 0.16666666666666666 (/ 1 (* (pow N 2) (sqrt 0.5)))) (* 0.013888888888888888 (/ 1 (* (pow N 3) (pow (sqrt 0.5) 3)))))) 9.196 * [backup-simplify]: Simplify (sqrt (- (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N)))) (/ (/ 0.3333333333333333 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N)))))) into (sqrt (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2)))) 9.196 * [approximate]: Taking taylor expansion of (sqrt (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2)))) in (N) around 0 9.196 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2)))) in N 9.197 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in N 9.197 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 9.197 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 9.197 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.197 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.197 * [taylor]: Taking taylor expansion of N in N 9.197 * [backup-simplify]: Simplify 0 into 0 9.197 * [backup-simplify]: Simplify 1 into 1 9.197 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 9.197 * [taylor]: Taking taylor expansion of 0.5 in N 9.197 * [backup-simplify]: Simplify 0.5 into 0.5 9.197 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.197 * [taylor]: Taking taylor expansion of N in N 9.197 * [backup-simplify]: Simplify 0 into 0 9.197 * [backup-simplify]: Simplify 1 into 1 9.197 * [backup-simplify]: Simplify (* 1 1) into 1 9.197 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 9.198 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 9.198 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5) 9.198 * [backup-simplify]: Simplify (* 1 1) into 1 9.198 * [backup-simplify]: Simplify (* 1 1) into 1 9.199 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 9.200 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.200 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 9.201 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 9.203 * [backup-simplify]: Simplify (/ 0.3333333333333333 (* 2 (sqrt 0.5))) into (/ 0.16666666666666666 (sqrt 0.5)) 9.203 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2)))) in N 9.203 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in N 9.203 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 9.203 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 9.203 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.203 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.203 * [taylor]: Taking taylor expansion of N in N 9.203 * [backup-simplify]: Simplify 0 into 0 9.203 * [backup-simplify]: Simplify 1 into 1 9.203 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 9.203 * [taylor]: Taking taylor expansion of 0.5 in N 9.203 * [backup-simplify]: Simplify 0.5 into 0.5 9.203 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.203 * [taylor]: Taking taylor expansion of N in N 9.203 * [backup-simplify]: Simplify 0 into 0 9.203 * [backup-simplify]: Simplify 1 into 1 9.203 * [backup-simplify]: Simplify (* 1 1) into 1 9.204 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 9.204 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 9.205 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5) 9.205 * [backup-simplify]: Simplify (* 1 1) into 1 9.205 * [backup-simplify]: Simplify (* 1 1) into 1 9.206 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 9.207 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.213 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 9.214 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 9.216 * [backup-simplify]: Simplify (/ 0.3333333333333333 (* 2 (sqrt 0.5))) into (/ 0.16666666666666666 (sqrt 0.5)) 9.216 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5) 9.217 * [backup-simplify]: Simplify (/ 0.16666666666666666 (sqrt 0.5)) into (/ 0.16666666666666666 (sqrt 0.5)) 9.218 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.219 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.219 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 9.221 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.222 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 9.222 * [backup-simplify]: Simplify (+ 0 0) into 0 9.228 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.16666666666666666 (sqrt 0.5)) 2) (+)) (* 2 (sqrt 0.5))) into (/ -0.013888888888888888 (pow (sqrt 0.5) 3)) 9.230 * [backup-simplify]: Simplify (/ -0.013888888888888888 (pow (sqrt 0.5) 3)) into (/ -0.013888888888888888 (pow (sqrt 0.5) 3)) 9.234 * [backup-simplify]: Simplify (+ (* (/ -0.013888888888888888 (pow (sqrt 0.5) 3)) (pow (/ 1 (- N)) 3)) (+ (* (/ 0.16666666666666666 (sqrt 0.5)) (pow (/ 1 (- N)) 2)) (* (sqrt 0.5) (/ 1 (- N))))) into (- (+ (* 0.16666666666666666 (/ 1 (* (pow N 2) (sqrt 0.5)))) (* 0.013888888888888888 (/ 1 (* (pow N 3) (pow (sqrt 0.5) 3))))) (/ (sqrt 0.5) N)) 9.234 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 9.234 * [backup-simplify]: Simplify (sqrt (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) into (sqrt (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3))))) 9.234 * [approximate]: Taking taylor expansion of (sqrt (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3))))) in (N) around 0 9.234 * [taylor]: Taking taylor expansion of (sqrt (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3))))) in N 9.234 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) in N 9.234 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 9.234 * [taylor]: Taking taylor expansion of 0.5 in N 9.234 * [backup-simplify]: Simplify 0.5 into 0.5 9.234 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 9.234 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.234 * [taylor]: Taking taylor expansion of N in N 9.234 * [backup-simplify]: Simplify 0 into 0 9.234 * [backup-simplify]: Simplify 1 into 1 9.235 * [backup-simplify]: Simplify (* 1 1) into 1 9.235 * [backup-simplify]: Simplify (/ 1 1) into 1 9.235 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 9.235 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 9.235 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.235 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 9.235 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.235 * [taylor]: Taking taylor expansion of N in N 9.235 * [backup-simplify]: Simplify 0 into 0 9.235 * [backup-simplify]: Simplify 1 into 1 9.236 * [backup-simplify]: Simplify (* 1 1) into 1 9.236 * [backup-simplify]: Simplify (* 1 1) into 1 9.237 * [backup-simplify]: Simplify (/ 1 1) into 1 9.237 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 9.237 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 9.238 * [backup-simplify]: Simplify (+ 0 (- 0.3333333333333333)) into (- 0.3333333333333333) 9.239 * [backup-simplify]: Simplify (sqrt 0) into 0 9.241 * [backup-simplify]: Simplify (/ (- 0.3333333333333333) (* 2 (sqrt 0))) into +nan.0 9.241 * [taylor]: Taking taylor expansion of (sqrt (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3))))) in N 9.241 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) in N 9.241 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 9.241 * [taylor]: Taking taylor expansion of 0.5 in N 9.241 * [backup-simplify]: Simplify 0.5 into 0.5 9.241 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 9.241 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.241 * [taylor]: Taking taylor expansion of N in N 9.241 * [backup-simplify]: Simplify 0 into 0 9.241 * [backup-simplify]: Simplify 1 into 1 9.241 * [backup-simplify]: Simplify (* 1 1) into 1 9.242 * [backup-simplify]: Simplify (/ 1 1) into 1 9.242 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 9.242 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 9.242 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.242 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 9.242 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.242 * [taylor]: Taking taylor expansion of N in N 9.242 * [backup-simplify]: Simplify 0 into 0 9.242 * [backup-simplify]: Simplify 1 into 1 9.242 * [backup-simplify]: Simplify (* 1 1) into 1 9.243 * [backup-simplify]: Simplify (* 1 1) into 1 9.243 * [backup-simplify]: Simplify (/ 1 1) into 1 9.243 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 9.244 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 9.244 * [backup-simplify]: Simplify (+ 0 (- 0.3333333333333333)) into (- 0.3333333333333333) 9.244 * [backup-simplify]: Simplify (sqrt 0) into 0 9.245 * [backup-simplify]: Simplify (/ (- 0.3333333333333333) (* 2 (sqrt 0))) into +nan.0 9.246 * [backup-simplify]: Simplify 0 into 0 9.246 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.246 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 9.246 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.247 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.248 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 9.248 * [backup-simplify]: Simplify (- 0) into 0 9.248 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 9.250 * [backup-simplify]: Simplify (/ (- 0.5 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.250 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.251 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.252 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 9.252 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.254 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 9.254 * [backup-simplify]: Simplify (- 0) into 0 9.254 * [backup-simplify]: Simplify (+ 0 0) into 0 9.257 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.257 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.257 * [backup-simplify]: Simplify (+ (* +nan.0 N) (+ +nan.0 (* +nan.0 (/ 1 N)))) into (- (+ (* +nan.0 N) (- (+ (* +nan.0 (/ 1 N)) (- +nan.0))))) 9.257 * [backup-simplify]: Simplify (sqrt (- (/ 0.5 (* (/ 1 N) (/ 1 N))) (/ (/ 0.3333333333333333 (/ 1 N)) (* (/ 1 N) (/ 1 N))))) into (sqrt (- (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3)))) 9.257 * [approximate]: Taking taylor expansion of (sqrt (- (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3)))) in (N) around 0 9.257 * [taylor]: Taking taylor expansion of (sqrt (- (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3)))) in N 9.257 * [taylor]: Taking taylor expansion of (- (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))) in N 9.257 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 9.257 * [taylor]: Taking taylor expansion of 0.5 in N 9.257 * [backup-simplify]: Simplify 0.5 into 0.5 9.258 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.258 * [taylor]: Taking taylor expansion of N in N 9.258 * [backup-simplify]: Simplify 0 into 0 9.258 * [backup-simplify]: Simplify 1 into 1 9.258 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 9.258 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 9.258 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.258 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.258 * [taylor]: Taking taylor expansion of N in N 9.258 * [backup-simplify]: Simplify 0 into 0 9.258 * [backup-simplify]: Simplify 1 into 1 9.258 * [backup-simplify]: Simplify (* 1 1) into 1 9.258 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 9.259 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 9.259 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5) 9.259 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.260 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 9.260 * [backup-simplify]: Simplify (* 1 1) into 1 9.260 * [backup-simplify]: Simplify (* 1 1) into 1 9.260 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 9.261 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 9.261 * [backup-simplify]: Simplify (+ 0 (- 0.3333333333333333)) into (- 0.3333333333333333) 9.263 * [backup-simplify]: Simplify (/ (- 0.3333333333333333) (* 2 (sqrt 0.5))) into (/ -0.16666666666666666 (sqrt 0.5)) 9.263 * [taylor]: Taking taylor expansion of (sqrt (- (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3)))) in N 9.263 * [taylor]: Taking taylor expansion of (- (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))) in N 9.263 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 9.263 * [taylor]: Taking taylor expansion of 0.5 in N 9.263 * [backup-simplify]: Simplify 0.5 into 0.5 9.263 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.263 * [taylor]: Taking taylor expansion of N in N 9.263 * [backup-simplify]: Simplify 0 into 0 9.263 * [backup-simplify]: Simplify 1 into 1 9.263 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 9.263 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 9.263 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.263 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.263 * [taylor]: Taking taylor expansion of N in N 9.263 * [backup-simplify]: Simplify 0 into 0 9.263 * [backup-simplify]: Simplify 1 into 1 9.263 * [backup-simplify]: Simplify (* 1 1) into 1 9.264 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 9.264 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 9.264 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5) 9.265 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.265 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 9.265 * [backup-simplify]: Simplify (* 1 1) into 1 9.266 * [backup-simplify]: Simplify (* 1 1) into 1 9.266 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 9.266 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 9.267 * [backup-simplify]: Simplify (+ 0 (- 0.3333333333333333)) into (- 0.3333333333333333) 9.268 * [backup-simplify]: Simplify (/ (- 0.3333333333333333) (* 2 (sqrt 0.5))) into (/ -0.16666666666666666 (sqrt 0.5)) 9.269 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5) 9.269 * [backup-simplify]: Simplify (/ -0.16666666666666666 (sqrt 0.5)) into (/ -0.16666666666666666 (sqrt 0.5)) 9.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.271 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 9.272 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.272 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.273 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 9.274 * [backup-simplify]: Simplify (- 0) into 0 9.274 * [backup-simplify]: Simplify (+ 0 0) into 0 9.280 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -0.16666666666666666 (sqrt 0.5)) 2) (+)) (* 2 (sqrt 0.5))) into (/ -0.013888888888888888 (pow (sqrt 0.5) 3)) 9.281 * [backup-simplify]: Simplify (/ -0.013888888888888888 (pow (sqrt 0.5) 3)) into (/ -0.013888888888888888 (pow (sqrt 0.5) 3)) 9.285 * [backup-simplify]: Simplify (+ (* (/ -0.013888888888888888 (pow (sqrt 0.5) 3)) (pow (/ 1 N) 3)) (+ (* (/ -0.16666666666666666 (sqrt 0.5)) (pow (/ 1 N) 2)) (* (sqrt 0.5) (/ 1 N)))) into (- (/ (sqrt 0.5) N) (+ (* 0.16666666666666666 (/ 1 (* (pow N 2) (sqrt 0.5)))) (* 0.013888888888888888 (/ 1 (* (pow N 3) (pow (sqrt 0.5) 3)))))) 9.286 * [backup-simplify]: Simplify (sqrt (- (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N)))) (/ (/ 0.3333333333333333 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N)))))) into (sqrt (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2)))) 9.286 * [approximate]: Taking taylor expansion of (sqrt (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2)))) in (N) around 0 9.286 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2)))) in N 9.286 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in N 9.286 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 9.286 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 9.286 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.286 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.286 * [taylor]: Taking taylor expansion of N in N 9.286 * [backup-simplify]: Simplify 0 into 0 9.286 * [backup-simplify]: Simplify 1 into 1 9.286 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 9.286 * [taylor]: Taking taylor expansion of 0.5 in N 9.286 * [backup-simplify]: Simplify 0.5 into 0.5 9.286 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.286 * [taylor]: Taking taylor expansion of N in N 9.286 * [backup-simplify]: Simplify 0 into 0 9.286 * [backup-simplify]: Simplify 1 into 1 9.287 * [backup-simplify]: Simplify (* 1 1) into 1 9.287 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 9.287 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 9.288 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5) 9.288 * [backup-simplify]: Simplify (* 1 1) into 1 9.289 * [backup-simplify]: Simplify (* 1 1) into 1 9.289 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 9.290 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.291 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 9.291 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 9.293 * [backup-simplify]: Simplify (/ 0.3333333333333333 (* 2 (sqrt 0.5))) into (/ 0.16666666666666666 (sqrt 0.5)) 9.293 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2)))) in N 9.293 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in N 9.293 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 9.293 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 9.293 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.293 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.293 * [taylor]: Taking taylor expansion of N in N 9.293 * [backup-simplify]: Simplify 0 into 0 9.293 * [backup-simplify]: Simplify 1 into 1 9.293 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 9.293 * [taylor]: Taking taylor expansion of 0.5 in N 9.293 * [backup-simplify]: Simplify 0.5 into 0.5 9.294 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.294 * [taylor]: Taking taylor expansion of N in N 9.294 * [backup-simplify]: Simplify 0 into 0 9.294 * [backup-simplify]: Simplify 1 into 1 9.294 * [backup-simplify]: Simplify (* 1 1) into 1 9.294 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 9.295 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 9.295 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5) 9.296 * [backup-simplify]: Simplify (* 1 1) into 1 9.296 * [backup-simplify]: Simplify (* 1 1) into 1 9.297 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 9.297 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.298 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 9.299 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 9.300 * [backup-simplify]: Simplify (/ 0.3333333333333333 (* 2 (sqrt 0.5))) into (/ 0.16666666666666666 (sqrt 0.5)) 9.301 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5) 9.302 * [backup-simplify]: Simplify (/ 0.16666666666666666 (sqrt 0.5)) into (/ 0.16666666666666666 (sqrt 0.5)) 9.302 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.303 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.304 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 9.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.306 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 9.307 * [backup-simplify]: Simplify (+ 0 0) into 0 9.312 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.16666666666666666 (sqrt 0.5)) 2) (+)) (* 2 (sqrt 0.5))) into (/ -0.013888888888888888 (pow (sqrt 0.5) 3)) 9.314 * [backup-simplify]: Simplify (/ -0.013888888888888888 (pow (sqrt 0.5) 3)) into (/ -0.013888888888888888 (pow (sqrt 0.5) 3)) 9.316 * [backup-simplify]: Simplify (+ (* (/ -0.013888888888888888 (pow (sqrt 0.5) 3)) (pow (/ 1 (- N)) 3)) (+ (* (/ 0.16666666666666666 (sqrt 0.5)) (pow (/ 1 (- N)) 2)) (* (sqrt 0.5) (/ 1 (- N))))) into (- (+ (* 0.16666666666666666 (/ 1 (* (pow N 2) (sqrt 0.5)))) (* 0.013888888888888888 (/ 1 (* (pow N 3) (pow (sqrt 0.5) 3))))) (/ (sqrt 0.5) N)) 9.316 * * * [progress]: simplifying candidates 9.318 * [simplify]: Simplifying: (/ (exp (/ 0.5 (* N N))) (exp (/ (/ 0.3333333333333333 N) (* N N)))) (log (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (exp (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (* (cbrt (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (cbrt (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))))) (cbrt (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (* (* (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (sqrt (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (sqrt (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (- 0.5 (/ 0.3333333333333333 N)) (- (* 0.5 (* N N)) (* (* N N) (/ 0.3333333333333333 N))) (* (* N N) (* N N)) (- (pow (/ 0.5 (* N N)) 3) (pow (/ (/ 0.3333333333333333 N) (* N N)) 3)) (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (+ (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (* (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))))) (- (/ (/ 0.3333333333333333 N) (* N N))) (- (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (+ (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (+ (sqrt (/ 0.5 (* N N))) (sqrt (/ (/ 0.3333333333333333 N) (* N N)))) (- (sqrt (/ 0.5 (* N N))) (sqrt (/ (/ 0.3333333333333333 N) (* N N)))) (+ (sqrt (/ 0.5 (* N N))) (/ (sqrt (/ 0.3333333333333333 N)) N)) (- (sqrt (/ 0.5 (* N N))) (/ (sqrt (/ 0.3333333333333333 N)) N)) (+ (sqrt (/ 0.5 (* N N))) (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N)) (- (sqrt (/ 0.5 (* N N))) (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N)) (+ (/ (sqrt 0.5) N) (sqrt (/ (/ 0.3333333333333333 N) (* N N)))) (- (/ (sqrt 0.5) N) (sqrt (/ (/ 0.3333333333333333 N) (* N N)))) (+ (/ (sqrt 0.5) N) (/ (sqrt (/ 0.3333333333333333 N)) N)) (- (/ (sqrt 0.5) N) (/ (sqrt (/ 0.3333333333333333 N)) N)) (+ (/ (sqrt 0.5) N) (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N)) (- (/ (sqrt 0.5) N) (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N)) (- (/ 0.5 N) (/ (/ 0.3333333333333333 N) N)) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (- 0.5 (/ 0.3333333333333333 N)) (- (/ (/ 0.3333333333333333 N) (* N N))) (/ (exp (/ 0.5 (* N N))) (exp (/ (/ 0.3333333333333333 N) (* N N)))) (log (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (exp (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (* (cbrt (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (cbrt (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))))) (cbrt (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (* (* (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (sqrt (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (sqrt (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (- 0.5 (/ 0.3333333333333333 N)) (- (* 0.5 (* N N)) (* (* N N) (/ 0.3333333333333333 N))) (* (* N N) (* N N)) (- (pow (/ 0.5 (* N N)) 3) (pow (/ (/ 0.3333333333333333 N) (* N N)) 3)) (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (+ (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (* (/ 0.5 (* N N)) (/ (/ 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enodes 9.344 * * [simplify]: iteration 1: 273 enodes 9.468 * * [simplify]: iteration 2: 1091 enodes 9.880 * * [simplify]: iteration complete: 5000 enodes 9.881 * * [simplify]: Extracting #0: cost 64 inf + 0 9.882 * * [simplify]: Extracting #1: cost 493 inf + 2 9.890 * * [simplify]: Extracting #2: cost 1559 inf + 4715 9.905 * * [simplify]: Extracting #3: cost 1532 inf + 68742 9.970 * * [simplify]: Extracting #4: cost 436 inf + 287267 10.058 * * [simplify]: Extracting #5: cost 58 inf + 392093 10.161 * * [simplify]: Extracting #6: cost 2 inf + 398838 10.261 * * [simplify]: Extracting #7: cost 0 inf + 398368 10.369 * [simplify]: Simplified to: (exp (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 (* N N)) N))) (log (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 (* N N)) N))) (exp (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 (* N N)) N))) (* (cbrt (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 (* N N)) N))) (cbrt (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 (* N N)) N)))) (cbrt (- (/ 0.5 (* N N)) (/ (/ 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0.3333333333333333 N)))) (fabs (* N N)) (sqrt (- (* (/ 0.5 (* N N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N)))) (* (* (/ (/ 0.3333333333333333 (* N N)) N) (/ (/ 0.3333333333333333 (* N N)) N)) (/ (/ 0.3333333333333333 (* N N)) N)))) (sqrt (+ (* (/ 0.5 (* N N)) (+ (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 (* N N)) N))) (* (/ (/ 0.3333333333333333 (* N N)) N) (/ (/ 0.3333333333333333 (* N N)) N)))) (sqrt (- (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (* (/ (/ 0.3333333333333333 (* N N)) N) (/ (/ 0.3333333333333333 (* N N)) N)))) (sqrt (+ (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 (* N N)) N))) 1/2 (sqrt (sqrt (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 (* N N)) N)))) (sqrt (sqrt (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 (* N N)) N)))) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 (* N N)) N)) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 (* N N)) N)) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 (* N N)) N)) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 (* N N)) N)) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 (* N N)) N)) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 (* N N)) N)) (+ (* (- N) +nan.0) (- (/ +nan.0 N) +nan.0)) (- (- (/ (sqrt 0.5) N) (/ (/ 0.013888888888888888 (* N (* N N))) (* (sqrt 0.5) 0.5))) (/ 0.16666666666666666 (* (* N N) (sqrt 0.5)))) (+ (/ (/ 0.013888888888888888 (* N (* N N))) (* (sqrt 0.5) 0.5)) (- (/ 0.16666666666666666 (* (* N N) (sqrt 0.5))) (/ (sqrt 0.5) N))) (+ (* (- N) +nan.0) (- (/ +nan.0 N) +nan.0)) (- (- (/ (sqrt 0.5) N) (/ (/ 0.013888888888888888 (* N (* N N))) (* (sqrt 0.5) 0.5))) (/ 0.16666666666666666 (* (* N N) (sqrt 0.5)))) (+ (/ (/ 0.013888888888888888 (* N (* N N))) (* (sqrt 0.5) 0.5)) (- (/ 0.16666666666666666 (* (* N N) (sqrt 0.5))) (/ (sqrt 0.5) N))) 10.401 * * * [progress]: adding candidates to table 11.213 * [progress]: [Phase 3 of 3] Extracting. 11.213 * * [regime]: Finding splitpoints for: (# # # #) 11.215 * * * [regime-changes]: Trying 1 branch expressions: (N) 11.215 * * * * [regimes]: Trying to branch on N from (# # # #) 11.264 * * * [regime]: Found split indices: #