16.898 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.101 * * * [progress]: [2/2] Setting up program. 0.104 * [progress]: [Phase 2 of 3] Improving. 0.104 * [simplify]: Simplifying: (- (log (+ N 1.0)) (log N)) 0.104 * * [simplify]: iteration 0: 6 enodes 0.105 * * [simplify]: iteration 1: 9 enodes 0.106 * * [simplify]: iteration 2: 10 enodes 0.108 * * [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 + 21 0.108 * [simplify]: Simplified to: (- (log (+ 1.0 N)) (log N)) 0.112 * * [progress]: iteration 1 / 4 0.112 * * * [progress]: picking best candidate 0.114 * * * * [pick]: Picked # 0.114 * * * [progress]: localizing error 0.146 * * * [progress]: generating rewritten candidates 0.146 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.157 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.162 * * * [progress]: generating series expansions 0.162 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.162 * [backup-simplify]: Simplify (- (log (+ 1.0 N)) (log N)) into (- (log (+ N 1.0)) (log N)) 0.162 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.162 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.162 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.162 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.162 * [taylor]: Taking taylor expansion of N in N 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 1 into 1 0.162 * [taylor]: Taking taylor expansion of 1.0 in N 0.162 * [backup-simplify]: Simplify 1.0 into 1.0 0.162 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.163 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.163 * [taylor]: Taking taylor expansion of (log N) in N 0.163 * [taylor]: Taking taylor expansion of N in N 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 1 into 1 0.163 * [backup-simplify]: Simplify (log 1) into 0 0.163 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.163 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.163 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.163 * [taylor]: Taking taylor expansion of N in N 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 1 into 1 0.163 * [taylor]: Taking taylor expansion of 1.0 in N 0.163 * [backup-simplify]: Simplify 1.0 into 1.0 0.163 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.164 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.164 * [taylor]: Taking taylor expansion of (log N) in N 0.164 * [taylor]: Taking taylor expansion of N in N 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 1 into 1 0.164 * [backup-simplify]: Simplify (log 1) into 0 0.164 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.164 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.165 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 0.165 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.165 * [backup-simplify]: Simplify (+ 1 0) into 1 0.168 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.169 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.169 * [backup-simplify]: Simplify (- 0) into 0 0.169 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.170 * [backup-simplify]: Simplify 1.0 into 1.0 0.170 * [backup-simplify]: Simplify (+ 0 0) into 0 0.180 * [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)) 0.183 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.183 * [backup-simplify]: Simplify (- 0) into 0 0.185 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.187 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.191 * [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))) 0.191 * [backup-simplify]: Simplify (- (log (+ 1.0 (/ 1 N))) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 0.191 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.191 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.191 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.191 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.191 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.191 * [taylor]: Taking taylor expansion of N in N 0.191 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify 1 into 1 0.192 * [backup-simplify]: Simplify (/ 1 1) into 1 0.192 * [taylor]: Taking taylor expansion of 1.0 in N 0.192 * [backup-simplify]: Simplify 1.0 into 1.0 0.193 * [backup-simplify]: Simplify (+ 1 0) into 1 0.193 * [backup-simplify]: Simplify (log 1) into 0 0.193 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.193 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.193 * [taylor]: Taking taylor expansion of N in N 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 1 into 1 0.193 * [backup-simplify]: Simplify (/ 1 1) into 1 0.194 * [backup-simplify]: Simplify (log 1) into 0 0.194 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.194 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.194 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.194 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.194 * [taylor]: Taking taylor expansion of N in N 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify 1 into 1 0.194 * [backup-simplify]: Simplify (/ 1 1) into 1 0.194 * [taylor]: Taking taylor expansion of 1.0 in N 0.194 * [backup-simplify]: Simplify 1.0 into 1.0 0.195 * [backup-simplify]: Simplify (+ 1 0) into 1 0.195 * [backup-simplify]: Simplify (log 1) into 0 0.195 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.195 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.195 * [taylor]: Taking taylor expansion of N in N 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 1 into 1 0.196 * [backup-simplify]: Simplify (/ 1 1) into 1 0.196 * [backup-simplify]: Simplify (log 1) into 0 0.197 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.197 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.197 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.197 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.197 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.199 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.204 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.207 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.207 * [backup-simplify]: Simplify (- 0) into 0 0.207 * [backup-simplify]: Simplify (+ 1.0 0) 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 0.209 * [backup-simplify]: Simplify (+ 0 0) into 0 0.220 * [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 0.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.224 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.224 * [backup-simplify]: Simplify (- 0) into 0 0.225 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.225 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.227 * [backup-simplify]: Simplify (+ 0 0) into 0 0.245 * [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 0.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.253 * [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 0.254 * [backup-simplify]: Simplify (- 0) into 0 0.254 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.254 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.255 * [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)))) 0.255 * [backup-simplify]: Simplify (- (log (+ 1.0 (/ 1 (- N)))) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 0.255 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.255 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.255 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.255 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.255 * [taylor]: Taking taylor expansion of 1.0 in N 0.255 * [backup-simplify]: Simplify 1.0 into 1.0 0.255 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.255 * [taylor]: Taking taylor expansion of N in N 0.255 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify 1 into 1 0.255 * [backup-simplify]: Simplify (/ 1 1) into 1 0.256 * [backup-simplify]: Simplify (- 1) into -1 0.256 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.256 * [backup-simplify]: Simplify (log -1) into (log -1) 0.256 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.256 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.256 * [taylor]: Taking taylor expansion of -1 in N 0.256 * [backup-simplify]: Simplify -1 into -1 0.256 * [taylor]: Taking taylor expansion of N in N 0.256 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify 1 into 1 0.256 * [backup-simplify]: Simplify (/ -1 1) into -1 0.257 * [backup-simplify]: Simplify (log -1) into (log -1) 0.257 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.257 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.257 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.257 * [taylor]: Taking taylor expansion of 1.0 in N 0.257 * [backup-simplify]: Simplify 1.0 into 1.0 0.257 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.257 * [taylor]: Taking taylor expansion of N in N 0.257 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify 1 into 1 0.257 * [backup-simplify]: Simplify (/ 1 1) into 1 0.257 * [backup-simplify]: Simplify (- 1) into -1 0.258 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.258 * [backup-simplify]: Simplify (log -1) into (log -1) 0.258 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.258 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.258 * [taylor]: Taking taylor expansion of -1 in N 0.258 * [backup-simplify]: Simplify -1 into -1 0.258 * [taylor]: Taking taylor expansion of N in N 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify 1 into 1 0.258 * [backup-simplify]: Simplify (/ -1 1) into -1 0.259 * [backup-simplify]: Simplify (log -1) into (log -1) 0.259 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.260 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.260 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.261 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.261 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.261 * [backup-simplify]: Simplify (- 0) into 0 0.262 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.265 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.266 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.267 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.267 * [backup-simplify]: Simplify (- 0) into 0 0.267 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 0.268 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.268 * [backup-simplify]: Simplify (- 0) into 0 0.269 * [backup-simplify]: Simplify (+ 0 0) into 0 0.275 * [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 0.275 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.277 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.277 * [backup-simplify]: Simplify (- 0) into 0 0.277 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.278 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.279 * [backup-simplify]: Simplify (- 0) into 0 0.279 * [backup-simplify]: Simplify (+ 0 0) into 0 0.291 * [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 0.291 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.294 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 0.295 * [backup-simplify]: Simplify (- 0) into 0 0.295 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 0.295 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.296 * [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)))) 0.296 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.297 * [backup-simplify]: Simplify (log (+ 1.0 N)) into (log (+ N 1.0)) 0.297 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.297 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.297 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.297 * [taylor]: Taking taylor expansion of N in N 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify 1 into 1 0.297 * [taylor]: Taking taylor expansion of 1.0 in N 0.297 * [backup-simplify]: Simplify 1.0 into 1.0 0.297 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.297 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.297 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.297 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.297 * [taylor]: Taking taylor expansion of N in N 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify 1 into 1 0.297 * [taylor]: Taking taylor expansion of 1.0 in N 0.297 * [backup-simplify]: Simplify 1.0 into 1.0 0.298 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.298 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.298 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.298 * [backup-simplify]: Simplify (+ 1 0) into 1 0.301 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.301 * [backup-simplify]: Simplify 1.0 into 1.0 0.302 * [backup-simplify]: Simplify (+ 0 0) into 0 0.310 * [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)) 0.311 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.312 * [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)))) 0.312 * [backup-simplify]: Simplify (log (+ 1.0 (/ 1 N))) into (log (+ (/ 1 N) 1.0)) 0.312 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.312 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.312 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.313 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.313 * [taylor]: Taking taylor expansion of N in N 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify 1 into 1 0.313 * [backup-simplify]: Simplify (/ 1 1) into 1 0.313 * [taylor]: Taking taylor expansion of 1.0 in N 0.313 * [backup-simplify]: Simplify 1.0 into 1.0 0.313 * [backup-simplify]: Simplify (+ 1 0) into 1 0.313 * [backup-simplify]: Simplify (log 1) into 0 0.313 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.313 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.313 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.313 * [taylor]: Taking taylor expansion of N in N 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify 1 into 1 0.314 * [backup-simplify]: Simplify (/ 1 1) into 1 0.314 * [taylor]: Taking taylor expansion of 1.0 in N 0.314 * [backup-simplify]: Simplify 1.0 into 1.0 0.314 * [backup-simplify]: Simplify (+ 1 0) into 1 0.314 * [backup-simplify]: Simplify (log 1) into 0 0.315 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.315 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.316 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.319 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.319 * [backup-simplify]: Simplify 1.0 into 1.0 0.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.320 * [backup-simplify]: Simplify (+ 0 0) into 0 0.326 * [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 0.326 * [backup-simplify]: Simplify -0.5 into -0.5 0.326 * [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)))) 0.326 * [backup-simplify]: Simplify (log (+ 1.0 (/ 1 (- N)))) into (log (- 1.0 (/ 1 N))) 0.326 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.326 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.327 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.327 * [taylor]: Taking taylor expansion of 1.0 in N 0.327 * [backup-simplify]: Simplify 1.0 into 1.0 0.327 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.327 * [taylor]: Taking taylor expansion of N in N 0.327 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify 1 into 1 0.327 * [backup-simplify]: Simplify (/ 1 1) into 1 0.327 * [backup-simplify]: Simplify (- 1) into -1 0.327 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.328 * [backup-simplify]: Simplify (log -1) into (log -1) 0.328 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.328 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.328 * [taylor]: Taking taylor expansion of 1.0 in N 0.328 * [backup-simplify]: Simplify 1.0 into 1.0 0.328 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.328 * [taylor]: Taking taylor expansion of N in N 0.328 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify 1 into 1 0.328 * [backup-simplify]: Simplify (/ 1 1) into 1 0.328 * [backup-simplify]: Simplify (- 1) into -1 0.328 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.329 * [backup-simplify]: Simplify (log -1) into (log -1) 0.329 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.330 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.330 * [backup-simplify]: Simplify (- 0) into 0 0.331 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.334 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.335 * [backup-simplify]: Simplify -1.0 into -1.0 0.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.335 * [backup-simplify]: Simplify (- 0) into 0 0.336 * [backup-simplify]: Simplify (+ 0 0) into 0 0.343 * [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 0.343 * [backup-simplify]: Simplify -0.5 into -0.5 0.344 * [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)))) 0.344 * * * [progress]: simplifying candidates 0.345 * [simplify]: Simplifying: (/ (+ 1.0 N) N) (log (- (log (+ 1.0 N)) (log N))) (exp (- (log (+ 1.0 N)) (log N))) (* (cbrt (- (log (+ 1.0 N)) (log N))) (cbrt (- (log (+ 1.0 N)) (log N)))) (cbrt (- (log (+ 1.0 N)) (log N))) (* (* (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N))) (- (log (+ 1.0 N)) (log N))) (sqrt (- (log (+ 1.0 N)) (log N))) (sqrt (- (log (+ 1.0 N)) (log N))) (- (pow (log (+ 1.0 N)) 3) (pow (log N) 3)) (+ (* (log (+ 1.0 N)) (log (+ 1.0 N))) (+ (* (log N) (log N)) (* (log (+ 1.0 N)) (log N)))) (- (log N)) (- (* (log (+ 1.0 N)) (log (+ 1.0 N))) (* (log N) (log N))) (+ (log (+ 1.0 N)) (log N)) (+ (sqrt (log (+ 1.0 N))) (sqrt (log N))) (- (sqrt (log (+ 1.0 N))) (sqrt (log N))) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log (* (cbrt N) (cbrt N)))) (- (log (+ 1.0 N)) (log (sqrt N))) (- (log (+ 1.0 N)) (log 1)) (- (log (cbrt (+ 1.0 N))) (log N)) (- (log (sqrt (+ 1.0 N))) (log N)) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N)) (+ (log (+ (* 1.0 1.0) (- (* N N) (* 1.0 N)))) (log N)) (+ (log (- 1.0 N)) (log N)) (- (log N)) (log (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (log (cbrt (+ 1.0 N))) (log (sqrt (+ 1.0 N))) (log (sqrt (+ 1.0 N))) (log 1) (log (+ 1.0 N)) (log 1) (log (+ 1.0 N)) (log (+ (pow 1.0 3) (pow N 3))) (log (+ (* 1.0 1.0) (- (* N N) (* 1.0 N)))) (log (- (* 1.0 1.0) (* N N))) (log (- 1.0 N)) (log (+ 1.0 N)) (log (log (+ 1.0 N))) (exp (log (+ 1.0 N))) (* (cbrt (log (+ 1.0 N))) (cbrt (log (+ 1.0 N)))) (cbrt (log (+ 1.0 N))) (* (* (log (+ 1.0 N)) (log (+ 1.0 N))) (log (+ 1.0 N))) (sqrt (log (+ 1.0 N))) (sqrt (log (+ 1.0 N))) (- (+ (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)))) (- (+ (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)))) 0.345 * * [simplify]: iteration 0: 100 enodes 0.366 * * [simplify]: iteration 1: 213 enodes 0.431 * * [simplify]: iteration 2: 631 enodes 0.779 * * [simplify]: iteration 3: 2644 enodes 1.545 * * [simplify]: iteration complete: 5001 enodes 1.546 * * [simplify]: Extracting #0: cost 39 inf + 0 1.547 * * [simplify]: Extracting #1: cost 248 inf + 1 1.552 * * [simplify]: Extracting #2: cost 1224 inf + 71 1.563 * * [simplify]: Extracting #3: cost 1215 inf + 2105 1.573 * * [simplify]: Extracting #4: cost 347 inf + 6783 1.583 * * [simplify]: Extracting #5: cost 94 inf + 8847 1.593 * * [simplify]: Extracting #6: cost 43 inf + 9193 1.603 * * [simplify]: Extracting #7: cost 5 inf + 9361 1.608 * * [simplify]: Extracting #8: cost 0 inf + 9386 1.614 * [simplify]: Simplified to: (/ (+ 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))) (pow (- (log (+ 1.0 N)) (log N)) 3) (sqrt (- (log (+ 1.0 N)) (log N))) (sqrt (- (log (+ 1.0 N)) (log N))) (- (pow (log (+ 1.0 N)) 3) (pow (log N) 3)) (+ (* (log (+ 1.0 N)) (+ (log N) (log (+ 1.0 N)))) (* (log N) (log N))) (- (log N)) (* (+ (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N))) (+ (log (+ 1.0 N)) (log 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)) (* 2 (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 (+ (* 1.0 1.0) (* N (- N 1.0)))) (log N)) (+ (log N) (log (- 1.0 N))) (- (log N)) (* 2 (log (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 (+ (pow N 3) (pow 1.0 3))) (log (+ (* 1.0 1.0) (* N (- N 1.0)))) (log (* (+ 1.0 N) (- 1.0 N))) (log (- 1.0 N)) (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))) (pow (log (+ 1.0 N)) 3) (sqrt (log (+ 1.0 N))) (sqrt (log (+ 1.0 N))) (- (+ (* N 1.0) (log 1.0)) (+ (* (/ (pow N 2) 1.0) (/ 1/2 1.0)) (log N))) (+ (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N)) (/ 1.0 N)) (+ (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N)) (/ 1.0 N)) (+ (log 1.0) (- (* N 1.0) (* (/ (pow N 2) 1.0) (/ 1/2 1.0)))) (- (+ (/ 1.0 N) (log N)) (/ (/ 0.5 N) N)) (- (+ (/ 1.0 N) (log N)) (/ (/ 0.5 N) N)) 1.614 * * * [progress]: adding candidates to table 1.764 * * [progress]: iteration 2 / 4 1.764 * * * [progress]: picking best candidate 1.772 * * * * [pick]: Picked # 1.772 * * * [progress]: localizing error 1.788 * * * [progress]: generating rewritten candidates 1.788 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.906 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 1.915 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 1.931 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 2.702 * * * [progress]: generating series expansions 2.702 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 2.703 * [backup-simplify]: Simplify (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N)) into (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) 2.703 * [approximate]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) in (N) around 0 2.703 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) in N 2.703 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 2.703 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.703 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.703 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 2.703 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.703 * [taylor]: Taking taylor expansion of N in N 2.703 * [backup-simplify]: Simplify 0 into 0 2.703 * [backup-simplify]: Simplify 1 into 1 2.704 * [backup-simplify]: Simplify (* 1 1) into 1 2.704 * [backup-simplify]: Simplify (* 1 1) into 1 2.704 * [backup-simplify]: Simplify (/ 1 1) into 1 2.704 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 2.704 * [taylor]: Taking taylor expansion of 0.5 in N 2.705 * [backup-simplify]: Simplify 0.5 into 0.5 2.705 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.705 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.705 * [taylor]: Taking taylor expansion of N in N 2.705 * [backup-simplify]: Simplify 0 into 0 2.705 * [backup-simplify]: Simplify 1 into 1 2.705 * [backup-simplify]: Simplify (* 1 1) into 1 2.705 * [backup-simplify]: Simplify (/ 1 1) into 1 2.705 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) in N 2.705 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 2.705 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.705 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.705 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 2.705 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.705 * [taylor]: Taking taylor expansion of N in N 2.705 * [backup-simplify]: Simplify 0 into 0 2.705 * [backup-simplify]: Simplify 1 into 1 2.706 * [backup-simplify]: Simplify (* 1 1) into 1 2.706 * [backup-simplify]: Simplify (* 1 1) into 1 2.706 * [backup-simplify]: Simplify (/ 1 1) into 1 2.706 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 2.706 * [taylor]: Taking taylor expansion of 0.5 in N 2.706 * [backup-simplify]: Simplify 0.5 into 0.5 2.706 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.706 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.706 * [taylor]: Taking taylor expansion of N in N 2.706 * [backup-simplify]: Simplify 0 into 0 2.706 * [backup-simplify]: Simplify 1 into 1 2.706 * [backup-simplify]: Simplify (* 1 1) into 1 2.707 * [backup-simplify]: Simplify (/ 1 1) into 1 2.707 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 2.708 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 2.708 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.709 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.709 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.711 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 2.711 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 2.712 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 2.712 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 2.713 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 2.714 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.715 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.717 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 2.717 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.719 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 2.719 * [backup-simplify]: Simplify (- 0) into 0 2.720 * [backup-simplify]: Simplify (+ 0 0) into 0 2.720 * [backup-simplify]: Simplify 0 into 0 2.721 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.722 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.724 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.727 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 2.728 * [backup-simplify]: Simplify (- 0) into 0 2.728 * [backup-simplify]: Simplify (+ 0 0) into 0 2.728 * [backup-simplify]: Simplify 0 into 0 2.730 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.731 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.734 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.735 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.737 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.737 * [backup-simplify]: Simplify (- 0) into 0 2.738 * [backup-simplify]: Simplify (+ 0 0) into 0 2.738 * [backup-simplify]: Simplify 0 into 0 2.739 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.741 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.742 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.743 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.744 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.746 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.747 * [backup-simplify]: Simplify (- 0) into 0 2.747 * [backup-simplify]: Simplify (+ 0 0) into 0 2.747 * [backup-simplify]: Simplify 0 into 0 2.748 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.750 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.752 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.753 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.756 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.756 * [backup-simplify]: Simplify (- 0) into 0 2.756 * [backup-simplify]: Simplify (+ 0 0) into 0 2.756 * [backup-simplify]: Simplify 0 into 0 2.758 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 2.761 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 2.762 * [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 2.764 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 2.766 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.768 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.769 * [backup-simplify]: Simplify (- 0) into 0 2.769 * [backup-simplify]: Simplify (+ 0 0) into 0 2.769 * [backup-simplify]: Simplify 0 into 0 2.770 * [backup-simplify]: Simplify (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 0.3333333333333333 (pow (/ 1 N) 3))) into (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) 2.770 * [backup-simplify]: Simplify (- (/ 0.3333333333333333 (pow (/ 1 N) 3)) (/ (/ 0.5 (/ 1 N)) (/ 1 N))) into (- (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) 2.771 * [approximate]: Taking taylor expansion of (- (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in (N) around 0 2.771 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in N 2.771 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 2.771 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.771 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.771 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.771 * [taylor]: Taking taylor expansion of N in N 2.771 * [backup-simplify]: Simplify 0 into 0 2.771 * [backup-simplify]: Simplify 1 into 1 2.771 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.771 * [taylor]: Taking taylor expansion of 0.5 in N 2.771 * [backup-simplify]: Simplify 0.5 into 0.5 2.771 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.771 * [taylor]: Taking taylor expansion of N in N 2.771 * [backup-simplify]: Simplify 0 into 0 2.771 * [backup-simplify]: Simplify 1 into 1 2.771 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in N 2.771 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 2.771 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.771 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.771 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.771 * [taylor]: Taking taylor expansion of N in N 2.771 * [backup-simplify]: Simplify 0 into 0 2.771 * [backup-simplify]: Simplify 1 into 1 2.771 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.771 * [taylor]: Taking taylor expansion of 0.5 in N 2.771 * [backup-simplify]: Simplify 0.5 into 0.5 2.771 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.771 * [taylor]: Taking taylor expansion of N in N 2.771 * [backup-simplify]: Simplify 0 into 0 2.771 * [backup-simplify]: Simplify 1 into 1 2.772 * [backup-simplify]: Simplify (* 1 1) into 1 2.773 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 2.773 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 2.774 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 2.774 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 2.775 * [backup-simplify]: Simplify (* 1 1) into 1 2.775 * [backup-simplify]: Simplify (* 1 1) into 1 2.775 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 2.776 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.777 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 2.777 * [backup-simplify]: Simplify (- 0) into 0 2.777 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 2.778 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.778 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.779 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.779 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 2.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.781 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 2.782 * [backup-simplify]: Simplify (- 0) into 0 2.782 * [backup-simplify]: Simplify (+ 0 0) into 0 2.782 * [backup-simplify]: Simplify 0 into 0 2.783 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.784 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.785 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 2.786 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.788 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.788 * [backup-simplify]: Simplify (- 0) into 0 2.789 * [backup-simplify]: Simplify (+ 0 0) into 0 2.789 * [backup-simplify]: Simplify 0 into 0 2.790 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.791 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.792 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.793 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.794 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.795 * [backup-simplify]: Simplify (- 0) into 0 2.795 * [backup-simplify]: Simplify (+ 0 0) into 0 2.795 * [backup-simplify]: Simplify 0 into 0 2.796 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.797 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.798 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.800 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.801 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.801 * [backup-simplify]: Simplify (- 0) into 0 2.802 * [backup-simplify]: Simplify (+ 0 0) into 0 2.802 * [backup-simplify]: Simplify 0 into 0 2.803 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.804 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.805 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.807 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.808 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.809 * [backup-simplify]: Simplify (- 0) into 0 2.809 * [backup-simplify]: Simplify (+ 0 0) into 0 2.809 * [backup-simplify]: Simplify 0 into 0 2.810 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.812 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.813 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 2.816 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 2.817 * [backup-simplify]: Simplify (- 0) into 0 2.817 * [backup-simplify]: Simplify (+ 0 0) into 0 2.817 * [backup-simplify]: Simplify 0 into 0 2.818 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (* (- 0.5) (pow (/ 1 N) 2))) into (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) 2.818 * [backup-simplify]: Simplify (- (/ 0.3333333333333333 (pow (/ 1 (- N)) 3)) (/ (/ 0.5 (/ 1 (- N))) (/ 1 (- N)))) into (- (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3)))) 2.818 * [approximate]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3)))) in (N) around 0 2.818 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3)))) in N 2.819 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))) in N 2.819 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.819 * [taylor]: Taking taylor expansion of 0.5 in N 2.819 * [backup-simplify]: Simplify 0.5 into 0.5 2.819 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.819 * [taylor]: Taking taylor expansion of N in N 2.819 * [backup-simplify]: Simplify 0 into 0 2.819 * [backup-simplify]: Simplify 1 into 1 2.819 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 2.819 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.819 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.819 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.819 * [taylor]: Taking taylor expansion of N in N 2.819 * [backup-simplify]: Simplify 0 into 0 2.819 * [backup-simplify]: Simplify 1 into 1 2.819 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3)))) in N 2.819 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))) in N 2.819 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.819 * [taylor]: Taking taylor expansion of 0.5 in N 2.819 * [backup-simplify]: Simplify 0.5 into 0.5 2.819 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.819 * [taylor]: Taking taylor expansion of N in N 2.819 * [backup-simplify]: Simplify 0 into 0 2.819 * [backup-simplify]: Simplify 1 into 1 2.819 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 2.819 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.819 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.819 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.819 * [taylor]: Taking taylor expansion of N in N 2.819 * [backup-simplify]: Simplify 0 into 0 2.819 * [backup-simplify]: Simplify 1 into 1 2.820 * [backup-simplify]: Simplify (* 1 1) into 1 2.820 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 2.821 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 2.821 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 2.822 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 2.822 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.826 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 2.827 * [backup-simplify]: Simplify (* 1 1) into 1 2.827 * [backup-simplify]: Simplify (* 1 1) into 1 2.828 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 2.828 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 2.829 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 2.829 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 2.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.831 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 2.832 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.832 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.833 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 2.833 * [backup-simplify]: Simplify (+ 0 0) into 0 2.834 * [backup-simplify]: Simplify (- 0) into 0 2.834 * [backup-simplify]: Simplify 0 into 0 2.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.837 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.837 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.838 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.839 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 2.840 * [backup-simplify]: Simplify (+ 0 0) into 0 2.840 * [backup-simplify]: Simplify (- 0) into 0 2.840 * [backup-simplify]: Simplify 0 into 0 2.841 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.843 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.844 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.845 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.846 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.846 * [backup-simplify]: Simplify (+ 0 0) into 0 2.847 * [backup-simplify]: Simplify (- 0) into 0 2.847 * [backup-simplify]: Simplify 0 into 0 2.848 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.850 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.852 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.853 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.854 * [backup-simplify]: Simplify (+ 0 0) into 0 2.854 * [backup-simplify]: Simplify (- 0) into 0 2.854 * [backup-simplify]: Simplify 0 into 0 2.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.857 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.858 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.860 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.861 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.861 * [backup-simplify]: Simplify (+ 0 0) into 0 2.862 * [backup-simplify]: Simplify (- 0) into 0 2.862 * [backup-simplify]: Simplify 0 into 0 2.863 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 2.865 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 2.866 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.868 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.869 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.870 * [backup-simplify]: Simplify (+ 0 0) into 0 2.870 * [backup-simplify]: Simplify (- 0) into 0 2.870 * [backup-simplify]: Simplify 0 into 0 2.871 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 (- N)) 3)) (* (- 0.5) (pow (/ 1 (- N)) 2))) into (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) 2.871 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 2.872 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow N 3)) into (/ 0.3333333333333333 (pow N 3)) 2.872 * [approximate]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in (N) around 0 2.872 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 2.872 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.872 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.872 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.872 * [taylor]: Taking taylor expansion of N in N 2.872 * [backup-simplify]: Simplify 0 into 0 2.872 * [backup-simplify]: Simplify 1 into 1 2.872 * [backup-simplify]: Simplify (* 1 1) into 1 2.873 * [backup-simplify]: Simplify (* 1 1) into 1 2.873 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 2.873 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 2.873 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.873 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.873 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.873 * [taylor]: Taking taylor expansion of N in N 2.873 * [backup-simplify]: Simplify 0 into 0 2.873 * [backup-simplify]: Simplify 1 into 1 2.874 * [backup-simplify]: Simplify (* 1 1) into 1 2.874 * [backup-simplify]: Simplify (* 1 1) into 1 2.874 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 2.875 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.875 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.876 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.877 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)))) into 0 2.877 * [backup-simplify]: Simplify 0 into 0 2.878 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.879 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.880 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.880 * [backup-simplify]: Simplify 0 into 0 2.881 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.882 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.883 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.884 * [backup-simplify]: Simplify 0 into 0 2.885 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.887 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.887 * [backup-simplify]: Simplify 0 into 0 2.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.890 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.891 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.892 * [backup-simplify]: Simplify 0 into 0 2.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.894 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.896 * [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 2.896 * [backup-simplify]: Simplify 0 into 0 2.896 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 2.896 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow (/ 1 N) 3)) into (* 0.3333333333333333 (pow N 3)) 2.896 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in (N) around 0 2.896 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 2.897 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.897 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.897 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.897 * [taylor]: Taking taylor expansion of N in N 2.897 * [backup-simplify]: Simplify 0 into 0 2.897 * [backup-simplify]: Simplify 1 into 1 2.897 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 2.897 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.897 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.897 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.897 * [taylor]: Taking taylor expansion of N in N 2.897 * [backup-simplify]: Simplify 0 into 0 2.897 * [backup-simplify]: Simplify 1 into 1 2.897 * [backup-simplify]: Simplify (* 1 1) into 1 2.898 * [backup-simplify]: Simplify (* 1 1) into 1 2.898 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 2.898 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.899 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.900 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.900 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 2.900 * [backup-simplify]: Simplify 0 into 0 2.901 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.903 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 2.903 * [backup-simplify]: Simplify 0 into 0 2.904 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.906 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.907 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.907 * [backup-simplify]: Simplify 0 into 0 2.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.910 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.911 * [backup-simplify]: Simplify 0 into 0 2.912 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.913 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.915 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.915 * [backup-simplify]: Simplify 0 into 0 2.916 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.918 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.920 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.920 * [backup-simplify]: Simplify 0 into 0 2.920 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 2.921 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow (/ 1 (- N)) 3)) into (* -0.3333333333333333 (pow N 3)) 2.921 * [approximate]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in (N) around 0 2.921 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 2.921 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 2.921 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 2.921 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.921 * [taylor]: Taking taylor expansion of N in N 2.921 * [backup-simplify]: Simplify 0 into 0 2.921 * [backup-simplify]: Simplify 1 into 1 2.921 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 2.921 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 2.921 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 2.921 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.921 * [taylor]: Taking taylor expansion of N in N 2.922 * [backup-simplify]: Simplify 0 into 0 2.922 * [backup-simplify]: Simplify 1 into 1 2.922 * [backup-simplify]: Simplify (* 1 1) into 1 2.923 * [backup-simplify]: Simplify (* 1 1) into 1 2.923 * [backup-simplify]: Simplify (* -0.3333333333333333 1) into -0.3333333333333333 2.923 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 2.924 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.925 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.926 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (* 0 1)) into 0 2.926 * [backup-simplify]: Simplify 0 into 0 2.927 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.928 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.929 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 2.929 * [backup-simplify]: Simplify 0 into 0 2.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.931 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.932 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.932 * [backup-simplify]: Simplify 0 into 0 2.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.935 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.936 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.936 * [backup-simplify]: Simplify 0 into 0 2.938 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.939 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.940 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.941 * [backup-simplify]: Simplify 0 into 0 2.942 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.946 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.946 * [backup-simplify]: Simplify 0 into 0 2.946 * [backup-simplify]: Simplify (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) into (/ 0.3333333333333333 (pow N 3)) 2.946 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 2.946 * [backup-simplify]: Simplify (/ (/ 0.5 N) N) into (/ 0.5 (pow N 2)) 2.946 * [approximate]: Taking taylor expansion of (/ 0.5 (pow N 2)) in (N) around 0 2.946 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 2.946 * [taylor]: Taking taylor expansion of 0.5 in N 2.946 * [backup-simplify]: Simplify 0.5 into 0.5 2.946 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.946 * [taylor]: Taking taylor expansion of N in N 2.946 * [backup-simplify]: Simplify 0 into 0 2.946 * [backup-simplify]: Simplify 1 into 1 2.947 * [backup-simplify]: Simplify (* 1 1) into 1 2.947 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 2.947 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 2.947 * [taylor]: Taking taylor expansion of 0.5 in N 2.947 * [backup-simplify]: Simplify 0.5 into 0.5 2.947 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.948 * [taylor]: Taking taylor expansion of N in N 2.948 * [backup-simplify]: Simplify 0 into 0 2.948 * [backup-simplify]: Simplify 1 into 1 2.948 * [backup-simplify]: Simplify (* 1 1) into 1 2.948 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 2.948 * [backup-simplify]: Simplify 0.5 into 0.5 2.949 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.950 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0 2.950 * [backup-simplify]: Simplify 0 into 0 2.951 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.952 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.952 * [backup-simplify]: Simplify 0 into 0 2.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.954 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.954 * [backup-simplify]: Simplify 0 into 0 2.955 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.956 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.956 * [backup-simplify]: Simplify 0 into 0 2.958 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.959 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.959 * [backup-simplify]: Simplify 0 into 0 2.960 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.962 * [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 2.962 * [backup-simplify]: Simplify 0 into 0 2.962 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 N) 2)) into (/ 0.5 (pow N 2)) 2.962 * [backup-simplify]: Simplify (/ (/ 0.5 (/ 1 N)) (/ 1 N)) into (* 0.5 (pow N 2)) 2.962 * [approximate]: Taking taylor expansion of (* 0.5 (pow N 2)) in (N) around 0 2.962 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.962 * [taylor]: Taking taylor expansion of 0.5 in N 2.962 * [backup-simplify]: Simplify 0.5 into 0.5 2.962 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.962 * [taylor]: Taking taylor expansion of N in N 2.962 * [backup-simplify]: Simplify 0 into 0 2.962 * [backup-simplify]: Simplify 1 into 1 2.962 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.962 * [taylor]: Taking taylor expansion of 0.5 in N 2.962 * [backup-simplify]: Simplify 0.5 into 0.5 2.962 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.963 * [taylor]: Taking taylor expansion of N in N 2.963 * [backup-simplify]: Simplify 0 into 0 2.963 * [backup-simplify]: Simplify 1 into 1 2.963 * [backup-simplify]: Simplify (* 1 1) into 1 2.963 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 2.963 * [backup-simplify]: Simplify 0.5 into 0.5 2.964 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.964 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 2.964 * [backup-simplify]: Simplify 0 into 0 2.965 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.965 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 2.965 * [backup-simplify]: Simplify 0 into 0 2.966 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.966 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.966 * [backup-simplify]: Simplify 0 into 0 2.967 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.968 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.968 * [backup-simplify]: Simplify 0 into 0 2.969 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.971 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.971 * [backup-simplify]: Simplify 0 into 0 2.972 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.973 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.973 * [backup-simplify]: Simplify 0 into 0 2.973 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 N) 2)) into (/ 0.5 (pow N 2)) 2.973 * [backup-simplify]: Simplify (/ (/ 0.5 (/ 1 (- N))) (/ 1 (- N))) into (* 0.5 (pow N 2)) 2.973 * [approximate]: Taking taylor expansion of (* 0.5 (pow N 2)) in (N) around 0 2.973 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.973 * [taylor]: Taking taylor expansion of 0.5 in N 2.973 * [backup-simplify]: Simplify 0.5 into 0.5 2.973 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.973 * [taylor]: Taking taylor expansion of N in N 2.973 * [backup-simplify]: Simplify 0 into 0 2.973 * [backup-simplify]: Simplify 1 into 1 2.973 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.973 * [taylor]: Taking taylor expansion of 0.5 in N 2.974 * [backup-simplify]: Simplify 0.5 into 0.5 2.974 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.974 * [taylor]: Taking taylor expansion of N in N 2.974 * [backup-simplify]: Simplify 0 into 0 2.974 * [backup-simplify]: Simplify 1 into 1 2.974 * [backup-simplify]: Simplify (* 1 1) into 1 2.974 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 2.974 * [backup-simplify]: Simplify 0.5 into 0.5 2.975 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.975 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 2.975 * [backup-simplify]: Simplify 0 into 0 2.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.976 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 2.976 * [backup-simplify]: Simplify 0 into 0 2.977 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.977 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.977 * [backup-simplify]: Simplify 0 into 0 2.978 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.979 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.979 * [backup-simplify]: Simplify 0 into 0 2.980 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.980 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.980 * [backup-simplify]: Simplify 0 into 0 2.981 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.982 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.982 * [backup-simplify]: Simplify 0 into 0 2.982 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 (- N)) 2)) into (/ 0.5 (pow N 2)) 2.982 * * * * [progress]: [ 4 / 4 ] generating series at (2) 2.983 * [backup-simplify]: Simplify (+ (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N)) (/ 1.0 N)) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 2.983 * [approximate]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in (N) around 0 2.983 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N 2.983 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 2.983 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 2.983 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.983 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.983 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 2.983 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.983 * [taylor]: Taking taylor expansion of N in N 2.983 * [backup-simplify]: Simplify 0 into 0 2.983 * [backup-simplify]: Simplify 1 into 1 2.983 * [backup-simplify]: Simplify (* 1 1) into 1 2.983 * [backup-simplify]: Simplify (* 1 1) into 1 2.984 * [backup-simplify]: Simplify (/ 1 1) into 1 2.984 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 2.984 * [taylor]: Taking taylor expansion of 1.0 in N 2.984 * [backup-simplify]: Simplify 1.0 into 1.0 2.984 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.984 * [taylor]: Taking taylor expansion of N in N 2.984 * [backup-simplify]: Simplify 0 into 0 2.984 * [backup-simplify]: Simplify 1 into 1 2.984 * [backup-simplify]: Simplify (/ 1 1) into 1 2.984 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 2.984 * [taylor]: Taking taylor expansion of 0.5 in N 2.984 * [backup-simplify]: Simplify 0.5 into 0.5 2.984 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.984 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.984 * [taylor]: Taking taylor expansion of N in N 2.984 * [backup-simplify]: Simplify 0 into 0 2.984 * [backup-simplify]: Simplify 1 into 1 2.984 * [backup-simplify]: Simplify (* 1 1) into 1 2.985 * [backup-simplify]: Simplify (/ 1 1) into 1 2.985 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N 2.985 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 2.985 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 2.985 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.985 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.985 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 2.985 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.985 * [taylor]: Taking taylor expansion of N in N 2.985 * [backup-simplify]: Simplify 0 into 0 2.985 * [backup-simplify]: Simplify 1 into 1 2.985 * [backup-simplify]: Simplify (* 1 1) into 1 2.985 * [backup-simplify]: Simplify (* 1 1) into 1 2.985 * [backup-simplify]: Simplify (/ 1 1) into 1 2.985 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 2.986 * [taylor]: Taking taylor expansion of 1.0 in N 2.986 * [backup-simplify]: Simplify 1.0 into 1.0 2.986 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.986 * [taylor]: Taking taylor expansion of N in N 2.986 * [backup-simplify]: Simplify 0 into 0 2.986 * [backup-simplify]: Simplify 1 into 1 2.986 * [backup-simplify]: Simplify (/ 1 1) into 1 2.986 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 2.986 * [taylor]: Taking taylor expansion of 0.5 in N 2.986 * [backup-simplify]: Simplify 0.5 into 0.5 2.986 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.986 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.986 * [taylor]: Taking taylor expansion of N in N 2.986 * [backup-simplify]: Simplify 0 into 0 2.986 * [backup-simplify]: Simplify 1 into 1 2.986 * [backup-simplify]: Simplify (* 1 1) into 1 2.987 * [backup-simplify]: Simplify (/ 1 1) into 1 2.987 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 2.988 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 2.988 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 2.988 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.988 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.989 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.990 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 2.990 * [backup-simplify]: Simplify (+ 0 0) into 0 2.990 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 2.991 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 2.991 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 2.992 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 2.993 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.993 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.994 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 2.995 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 2.995 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.996 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.997 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 2.997 * [backup-simplify]: Simplify (- 0) into 0 2.997 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.997 * [backup-simplify]: Simplify 1.0 into 1.0 2.998 * [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)))) 2.998 * [backup-simplify]: Simplify (+ (- (/ 0.3333333333333333 (pow (/ 1 N) 3)) (/ (/ 0.5 (/ 1 N)) (/ 1 N))) (/ 1.0 (/ 1 N))) into (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) 2.998 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in (N) around 0 2.998 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 2.998 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 2.998 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 2.998 * [taylor]: Taking taylor expansion of 1.0 in N 2.998 * [backup-simplify]: Simplify 1.0 into 1.0 2.998 * [taylor]: Taking taylor expansion of N in N 2.998 * [backup-simplify]: Simplify 0 into 0 2.998 * [backup-simplify]: Simplify 1 into 1 2.998 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 2.998 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.998 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.998 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.998 * [taylor]: Taking taylor expansion of N in N 2.998 * [backup-simplify]: Simplify 0 into 0 2.998 * [backup-simplify]: Simplify 1 into 1 2.998 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.998 * [taylor]: Taking taylor expansion of 0.5 in N 2.999 * [backup-simplify]: Simplify 0.5 into 0.5 2.999 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.999 * [taylor]: Taking taylor expansion of N in N 2.999 * [backup-simplify]: Simplify 0 into 0 2.999 * [backup-simplify]: Simplify 1 into 1 2.999 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 2.999 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 2.999 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 2.999 * [taylor]: Taking taylor expansion of 1.0 in N 2.999 * [backup-simplify]: Simplify 1.0 into 1.0 2.999 * [taylor]: Taking taylor expansion of N in N 2.999 * [backup-simplify]: Simplify 0 into 0 2.999 * [backup-simplify]: Simplify 1 into 1 2.999 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 2.999 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.999 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.999 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.999 * [taylor]: Taking taylor expansion of N in N 2.999 * [backup-simplify]: Simplify 0 into 0 2.999 * [backup-simplify]: Simplify 1 into 1 2.999 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.999 * [taylor]: Taking taylor expansion of 0.5 in N 2.999 * [backup-simplify]: Simplify 0.5 into 0.5 2.999 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.999 * [taylor]: Taking taylor expansion of N in N 2.999 * [backup-simplify]: Simplify 0 into 0 2.999 * [backup-simplify]: Simplify 1 into 1 2.999 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.999 * [backup-simplify]: Simplify (+ 0 0) into 0 3.000 * [backup-simplify]: Simplify (+ 0 0) into 0 3.000 * [backup-simplify]: Simplify 0 into 0 3.001 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 3.001 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.001 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.001 * [backup-simplify]: Simplify 1.0 into 1.0 3.002 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 3.002 * [backup-simplify]: Simplify (+ 0 0) into 0 3.002 * [backup-simplify]: Simplify (* 1 1) into 1 3.003 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.003 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.003 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 3.004 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.004 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.004 * [backup-simplify]: Simplify (* 1 1) into 1 3.005 * [backup-simplify]: Simplify (* 1 1) into 1 3.005 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 3.005 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 3.006 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.006 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 3.006 * [backup-simplify]: Simplify (- 0) into 0 3.007 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 3.007 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.007 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 3.008 * [backup-simplify]: Simplify (+ (- (/ 0.3333333333333333 (pow (/ 1 (- N)) 3)) (/ (/ 0.5 (/ 1 (- N))) (/ 1 (- N)))) (/ 1.0 (/ 1 (- N)))) into (- (+ (* 1.0 N) (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))))) 3.008 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 N) (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))))) in (N) around 0 3.008 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))))) in N 3.008 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2)))) in N 3.008 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 3.008 * [taylor]: Taking taylor expansion of 1.0 in N 3.008 * [backup-simplify]: Simplify 1.0 into 1.0 3.008 * [taylor]: Taking taylor expansion of N in N 3.008 * [backup-simplify]: Simplify 0 into 0 3.008 * [backup-simplify]: Simplify 1 into 1 3.008 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in N 3.008 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.008 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.008 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.008 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.008 * [taylor]: Taking taylor expansion of N in N 3.008 * [backup-simplify]: Simplify 0 into 0 3.008 * [backup-simplify]: Simplify 1 into 1 3.008 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.008 * [taylor]: Taking taylor expansion of 0.5 in N 3.008 * [backup-simplify]: Simplify 0.5 into 0.5 3.008 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.008 * [taylor]: Taking taylor expansion of N in N 3.008 * [backup-simplify]: Simplify 0 into 0 3.008 * [backup-simplify]: Simplify 1 into 1 3.008 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))))) in N 3.008 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2)))) in N 3.008 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 3.008 * [taylor]: Taking taylor expansion of 1.0 in N 3.008 * [backup-simplify]: Simplify 1.0 into 1.0 3.008 * [taylor]: Taking taylor expansion of N in N 3.008 * [backup-simplify]: Simplify 0 into 0 3.008 * [backup-simplify]: Simplify 1 into 1 3.008 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in N 3.008 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.008 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.008 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.008 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.008 * [taylor]: Taking taylor expansion of N in N 3.008 * [backup-simplify]: Simplify 0 into 0 3.008 * [backup-simplify]: Simplify 1 into 1 3.008 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.008 * [taylor]: Taking taylor expansion of 0.5 in N 3.008 * [backup-simplify]: Simplify 0.5 into 0.5 3.008 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.008 * [taylor]: Taking taylor expansion of N in N 3.008 * [backup-simplify]: Simplify 0 into 0 3.008 * [backup-simplify]: Simplify 1 into 1 3.009 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.009 * [backup-simplify]: Simplify (+ 0 0) into 0 3.009 * [backup-simplify]: Simplify (- 0) into 0 3.009 * [backup-simplify]: Simplify 0 into 0 3.010 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 3.010 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.011 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.011 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.012 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 3.012 * [backup-simplify]: Simplify (* 1 1) into 1 3.012 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.013 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 3.013 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 3.013 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.013 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.014 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.014 * [backup-simplify]: Simplify (* 1 1) into 1 3.014 * [backup-simplify]: Simplify (* 1 1) into 1 3.015 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 3.015 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.016 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 3.016 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 3.016 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 3.016 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 3.017 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 3.018 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 (- N)) 3)) (+ (* (- 0.5) (pow (/ 1 (- N)) 2)) (* (- 1.0) (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 3.018 * * * [progress]: simplifying candidates 3.021 * [simplify]: Simplifying: (/ (exp (/ 0.3333333333333333 (pow N 3))) (exp (/ (/ 0.5 N) N))) (log (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N))) (exp (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N))) (* (cbrt (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N))) (cbrt (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N)))) (cbrt (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N))) (* (* (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N)) (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N))) (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N))) (sqrt (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N))) (sqrt (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N))) (- (* 0.3333333333333333 N) (* (pow N 3) (/ 0.5 N))) (* (pow N 3) N) (- (pow (/ 0.3333333333333333 (pow N 3)) 3) (pow (/ (/ 0.5 N) N) 3)) (+ (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (+ (* (/ (/ 0.5 N) N) (/ (/ 0.5 N) N)) (* (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N)))) (- (/ (/ 0.5 N) N)) (- (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (* (/ (/ 0.5 N) N) (/ (/ 0.5 N) N))) (+ (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N)) (+ (sqrt (/ 0.3333333333333333 (pow N 3))) (sqrt (/ (/ 0.5 N) N))) (- (sqrt (/ 0.3333333333333333 (pow N 3))) (sqrt (/ (/ 0.5 N) N))) (+ (sqrt (/ 0.3333333333333333 (pow N 3))) (/ (sqrt (/ 0.5 N)) (sqrt N))) (- (sqrt (/ 0.3333333333333333 (pow N 3))) (/ (sqrt (/ 0.5 N)) (sqrt N))) (+ (sqrt (/ 0.3333333333333333 (pow N 3))) (/ (/ (sqrt 0.5) (sqrt N)) (sqrt N))) (- (sqrt (/ 0.3333333333333333 (pow N 3))) (/ (/ (sqrt 0.5) (sqrt N)) (sqrt N))) (+ (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (sqrt (/ (/ 0.5 N) N))) (- (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (sqrt (/ (/ 0.5 N) N))) (+ (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt (/ 0.5 N)) (sqrt N))) (- (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt (/ 0.5 N)) (sqrt N))) (+ (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (/ (sqrt 0.5) (sqrt N)) (sqrt N))) (- (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (/ (sqrt 0.5) (sqrt N)) (sqrt N))) (+ (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (sqrt (/ (/ 0.5 N) N))) (- (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (sqrt (/ (/ 0.5 N) N))) (+ (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt (/ 0.5 N)) (sqrt N))) (- (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt (/ 0.5 N)) (sqrt N))) (+ (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (/ (sqrt 0.5) (sqrt N)) (sqrt N))) (- (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (/ (sqrt 0.5) (sqrt N)) (sqrt N))) (+ (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (sqrt (/ (/ 0.5 N) N))) (- (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (sqrt (/ (/ 0.5 N) N))) (+ (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (/ (sqrt (/ 0.5 N)) (sqrt N))) (- (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (/ (sqrt (/ 0.5 N)) (sqrt N))) (+ (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (/ (/ (sqrt 0.5) (sqrt N)) (sqrt N))) (- (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (/ (/ (sqrt 0.5) (sqrt N)) (sqrt N))) (+ (/ (sqrt 0.3333333333333333) (pow N (/ 3 2))) (sqrt (/ (/ 0.5 N) N))) (- (/ (sqrt 0.3333333333333333) (pow N (/ 3 2))) (sqrt (/ (/ 0.5 N) N))) (+ (/ (sqrt 0.3333333333333333) (pow N (/ 3 2))) (/ (sqrt (/ 0.5 N)) (sqrt N))) (- (/ (sqrt 0.3333333333333333) (pow N (/ 3 2))) (/ (sqrt (/ 0.5 N)) (sqrt N))) (+ (/ (sqrt 0.3333333333333333) (pow N (/ 3 2))) (/ (/ (sqrt 0.5) (sqrt N)) (sqrt N))) (- (/ (sqrt 0.3333333333333333) (pow N (/ 3 2))) (/ (/ (sqrt 0.5) (sqrt N)) (sqrt N))) (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N)) (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N)) (- (/ (/ 0.5 N) N)) (- (log 0.3333333333333333) (* (log N) 3)) (- (log 0.3333333333333333) (* (log N) 3)) (- (log 0.3333333333333333) (log (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (exp (/ 0.3333333333333333 (pow N 3))) (/ (* (* 0.3333333333333333 0.3333333333333333) 0.3333333333333333) (* (* (pow N 3) (pow N 3)) (pow N 3))) (* (cbrt (/ 0.3333333333333333 (pow N 3))) (cbrt (/ 0.3333333333333333 (pow N 3)))) (cbrt (/ 0.3333333333333333 (pow N 3))) (* (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (/ 0.3333333333333333 (pow N 3))) (sqrt (/ 0.3333333333333333 (pow N 3))) (sqrt (/ 0.3333333333333333 (pow N 3))) (- 0.3333333333333333) (- (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (* (cbrt N) (cbrt N)) 3)) (/ (cbrt 0.3333333333333333) (pow (cbrt N) 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (sqrt N) 3)) (/ (cbrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow 1 3)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* N N)) (/ (cbrt 0.3333333333333333) N) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ (cbrt 0.3333333333333333) (cbrt (pow N 3))) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (* (cbrt N) (cbrt N)) 3)) (/ (cbrt 0.3333333333333333) (pow (cbrt N) 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (sqrt N) 3)) (/ (cbrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow 1 3)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) N) (/ (cbrt 0.3333333333333333) (* N N)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (sqrt (pow N 3))) (/ (cbrt 0.3333333333333333) (sqrt (pow N 3))) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) 1) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow N (/ 3 2))) (/ (cbrt 0.3333333333333333) (pow N (/ 3 2))) (/ (sqrt 0.3333333333333333) (pow (* (cbrt N) (cbrt N)) 3)) (/ (sqrt 0.3333333333333333) (pow (cbrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow 1 3)) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ (sqrt 0.3333333333333333) (cbrt (pow N 3))) (/ (sqrt 0.3333333333333333) (pow (* (cbrt N) (cbrt N)) 3)) (/ (sqrt 0.3333333333333333) (pow (cbrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow 1 3)) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (/ (sqrt 0.3333333333333333) 1) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) (pow N (/ 3 2))) (/ (sqrt 0.3333333333333333) (pow N (/ 3 2))) (/ 1 (pow (* (cbrt N) (cbrt N)) 3)) (/ 0.3333333333333333 (pow (cbrt N) 3)) (/ 1 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) (/ 1 (pow 1 3)) (/ 0.3333333333333333 (pow N 3)) (/ 1 (* N N)) (/ 0.3333333333333333 N) (/ 1 (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ 0.3333333333333333 (cbrt (pow N 3))) (/ 1 (pow (* (cbrt N) (cbrt N)) 3)) (/ 0.3333333333333333 (pow (cbrt N) 3)) (/ 1 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) (/ 1 (pow 1 3)) (/ 0.3333333333333333 (pow N 3)) (/ 1 N) (/ 0.3333333333333333 (* N N)) (/ 1 (sqrt (pow N 3))) (/ 0.3333333333333333 (sqrt (pow N 3))) (/ 1 1) (/ 0.3333333333333333 (pow N 3)) (/ 1 (pow N (/ 3 2))) (/ 0.3333333333333333 (pow N (/ 3 2))) (/ 1 (pow N 3)) (/ (pow N 3) 0.3333333333333333) (/ 0.3333333333333333 (pow (* (cbrt N) (cbrt N)) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow 1 3)) (/ 0.3333333333333333 (* N N)) (/ 0.3333333333333333 (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ 0.3333333333333333 (pow (* (cbrt N) (cbrt N)) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow 1 3)) (/ 0.3333333333333333 N) (/ 0.3333333333333333 (sqrt (pow N 3))) (/ 0.3333333333333333 1) (/ 0.3333333333333333 (pow N (/ 3 2))) (/ (pow N 3) (cbrt 0.3333333333333333)) (/ (pow N 3) (sqrt 0.3333333333333333)) (/ (pow N 3) 0.3333333333333333) (- (- (log 0.5) (log N)) (log N)) (- (log (/ 0.5 N)) (log N)) (log (/ (/ 0.5 N) N)) (exp (/ (/ 0.5 N) N)) (/ (/ (* (* 0.5 0.5) 0.5) (* (* N N) N)) (* (* N N) N)) (/ (* (* (/ 0.5 N) (/ 0.5 N)) (/ 0.5 N)) (* (* N N) N)) (* (cbrt (/ (/ 0.5 N) N)) (cbrt (/ (/ 0.5 N) N))) (cbrt (/ (/ 0.5 N) N)) (* (* (/ (/ 0.5 N) N) (/ (/ 0.5 N) N)) (/ (/ 0.5 N) N)) (sqrt (/ (/ 0.5 N) N)) (sqrt (/ (/ 0.5 N) N)) (- (/ 0.5 N)) (- N) (/ (* (cbrt (/ 0.5 N)) (cbrt (/ 0.5 N))) (* (cbrt N) (cbrt N))) (/ (cbrt (/ 0.5 N)) (cbrt N)) (/ (* (cbrt (/ 0.5 N)) (cbrt (/ 0.5 N))) (sqrt N)) (/ (cbrt (/ 0.5 N)) (sqrt N)) (/ (* (cbrt (/ 0.5 N)) (cbrt (/ 0.5 N))) 1) (/ (cbrt (/ 0.5 N)) N) (/ (sqrt (/ 0.5 N)) (* (cbrt N) (cbrt N))) (/ (sqrt (/ 0.5 N)) (cbrt N)) (/ (sqrt (/ 0.5 N)) (sqrt N)) (/ (sqrt (/ 0.5 N)) (sqrt N)) (/ (sqrt (/ 0.5 N)) 1) (/ (sqrt (/ 0.5 N)) N) (/ (/ (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt N) (cbrt N))) (* (cbrt N) (cbrt N))) (/ (/ (cbrt 0.5) (cbrt N)) (cbrt N)) (/ (/ (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt N) (cbrt N))) (sqrt N)) (/ (/ (cbrt 0.5) (cbrt N)) (sqrt N)) (/ (/ (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt N) (cbrt N))) 1) (/ (/ (cbrt 0.5) (cbrt N)) N) (/ (/ (* (cbrt 0.5) (cbrt 0.5)) (sqrt N)) (* (cbrt N) (cbrt N))) (/ (/ (cbrt 0.5) (sqrt N)) (cbrt N)) (/ (/ (* (cbrt 0.5) (cbrt 0.5)) (sqrt N)) (sqrt N)) (/ (/ (cbrt 0.5) (sqrt N)) (sqrt N)) (/ (/ (* (cbrt 0.5) (cbrt 0.5)) (sqrt N)) 1) (/ (/ (cbrt 0.5) (sqrt N)) N) (/ (/ (* (cbrt 0.5) (cbrt 0.5)) 1) (* (cbrt N) (cbrt N))) (/ (/ (cbrt 0.5) N) (cbrt N)) (/ (/ (* (cbrt 0.5) (cbrt 0.5)) 1) (sqrt N)) (/ (/ (cbrt 0.5) N) (sqrt N)) (/ (/ (* (cbrt 0.5) (cbrt 0.5)) 1) 1) (/ (/ (cbrt 0.5) N) N) (/ (/ (sqrt 0.5) (* (cbrt N) (cbrt N))) (* (cbrt N) (cbrt N))) (/ (/ (sqrt 0.5) (cbrt N)) (cbrt N)) (/ (/ (sqrt 0.5) (* (cbrt N) (cbrt N))) (sqrt N)) (/ (/ (sqrt 0.5) (cbrt N)) (sqrt N)) (/ (/ (sqrt 0.5) (* (cbrt N) (cbrt N))) 1) (/ (/ (sqrt 0.5) (cbrt N)) N) (/ (/ (sqrt 0.5) (sqrt N)) (* (cbrt N) (cbrt N))) (/ (/ (sqrt 0.5) (sqrt N)) (cbrt N)) (/ (/ (sqrt 0.5) (sqrt N)) (sqrt N)) (/ (/ (sqrt 0.5) (sqrt N)) (sqrt N)) (/ (/ (sqrt 0.5) (sqrt N)) 1) (/ (/ (sqrt 0.5) (sqrt N)) N) (/ (/ (sqrt 0.5) 1) (* (cbrt N) (cbrt N))) (/ (/ (sqrt 0.5) N) (cbrt N)) (/ (/ (sqrt 0.5) 1) (sqrt N)) (/ (/ (sqrt 0.5) N) (sqrt N)) (/ (/ (sqrt 0.5) 1) 1) (/ (/ (sqrt 0.5) N) N) (/ (/ 1 (* (cbrt N) (cbrt N))) (* (cbrt N) (cbrt N))) (/ (/ 0.5 (cbrt N)) (cbrt N)) (/ (/ 1 (* (cbrt N) (cbrt N))) (sqrt N)) (/ (/ 0.5 (cbrt N)) (sqrt N)) (/ (/ 1 (* (cbrt N) (cbrt N))) 1) (/ (/ 0.5 (cbrt N)) N) (/ (/ 1 (sqrt N)) (* (cbrt N) (cbrt N))) (/ (/ 0.5 (sqrt N)) (cbrt N)) (/ (/ 1 (sqrt N)) (sqrt N)) (/ (/ 0.5 (sqrt N)) (sqrt N)) (/ (/ 1 (sqrt N)) 1) (/ (/ 0.5 (sqrt N)) N) (/ (/ 1 1) (* (cbrt N) (cbrt N))) (/ (/ 0.5 N) (cbrt N)) (/ (/ 1 1) (sqrt N)) (/ (/ 0.5 N) (sqrt N)) (/ (/ 1 1) 1) (/ (/ 0.5 N) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (/ 0.5 N) (cbrt N)) (/ 1 (sqrt N)) (/ (/ 0.5 N) (sqrt N)) (/ 1 1) (/ (/ 0.5 N) N) (/ 0.5 (* (cbrt N) (cbrt N))) (/ (/ 1 N) (cbrt N)) (/ 0.5 (sqrt N)) (/ (/ 1 N) (sqrt N)) (/ 0.5 1) (/ (/ 1 N) N) (/ 1 N) (/ N (/ 0.5 N)) (/ (/ 0.5 N) (* (cbrt N) (cbrt N))) (/ (/ 0.5 N) (sqrt N)) (/ (/ 0.5 N) 1) (/ N (cbrt (/ 0.5 N))) (/ N (sqrt (/ 0.5 N))) (/ N (/ (cbrt 0.5) (cbrt N))) (/ N (/ (cbrt 0.5) (sqrt N))) (/ N (/ (cbrt 0.5) N)) (/ N (/ (sqrt 0.5) (cbrt N))) (/ N (/ (sqrt 0.5) (sqrt N))) (/ N (/ (sqrt 0.5) N)) (/ N (/ 0.5 (cbrt N))) (/ N (/ 0.5 (sqrt N))) (/ N (/ 0.5 N)) (/ N (/ 0.5 N)) (/ N (/ 1 N)) (* N N) (* (/ (exp (/ 0.3333333333333333 (pow N 3))) (exp (/ (/ 0.5 N) N))) (exp (/ 1.0 N))) (* (exp (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N))) (exp (/ 1.0 N))) (log (+ (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N)) (/ 1.0 N))) (exp (+ (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N)) (/ 1.0 N))) (* (cbrt (+ (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N)) (/ 1.0 N))) (cbrt (+ (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N)) (/ 1.0 N)))) (cbrt (+ (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N)) (/ 1.0 N))) (* (* (+ (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N)) (/ 1.0 N)) (+ (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N)) (/ 1.0 N))) (+ (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N)) (/ 1.0 N))) (sqrt (+ (- (/ 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(/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N)) (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N))) (- (* (/ 1.0 N) (/ 1.0 N)) (* (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N)) (/ 1.0 N)))) (- (* (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N)) (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N))) (* (/ 1.0 N) (/ 1.0 N))) (- (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N)) (/ 1.0 N)) (+ (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N)) (/ 1.0 N)) (+ (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N)) (/ 1.0 N)) (+ (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 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)) (- (* 0.3333333333333333 (/ 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 (/ 1 (pow N 2)))) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (pow N 2)) (/ 0.5 (pow N 2)) (/ 0.5 (pow N 2)) (- (+ (* 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)))) 3.026 * * [simplify]: iteration 0: 317 enodes 3.212 * * [simplify]: iteration 1: 786 enodes 4.110 * * [simplify]: iteration 2: 4212 enodes 5.715 * * [simplify]: iteration complete: 5001 enodes 5.715 * * [simplify]: Extracting #0: cost 185 inf + 0 5.721 * * [simplify]: Extracting #1: cost 1278 inf + 5 5.733 * * [simplify]: Extracting #2: cost 1850 inf + 1358 5.754 * * [simplify]: Extracting #3: cost 813 inf + 7618 5.767 * * [simplify]: Extracting #4: cost 193 inf + 12879 5.780 * * [simplify]: Extracting #5: cost 15 inf + 15455 5.792 * * [simplify]: Extracting #6: cost 0 inf + 15679 5.800 * [simplify]: Simplified to: (exp (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))) 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0.5 (* N N)) 3)) N)) (* (+ (* (/ 0.5 (* N N)) (+ (/ 0.5 (* N N)) (/ 0.3333333333333333 (pow N 3)))) (/ (* 0.3333333333333333 (/ 0.3333333333333333 (pow N 3))) (pow N 3))) N) (+ (* (+ (/ 0.5 (* N N)) (/ 0.3333333333333333 (pow N 3))) (* (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))) N)) (* (+ (/ 0.5 (* N N)) (/ 0.3333333333333333 (pow N 3))) 1.0)) (* N (+ (/ 0.5 (* N N)) (/ 0.3333333333333333 (pow N 3)))) (+ (pow (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))) 3) (pow (/ 1.0 N) 3)) (+ (* (/ 1.0 N) (- (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))))) (* (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))))) (- (* (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))) (/ (* 1.0 (/ 1.0 N)) N)) (- (/ 0.3333333333333333 (pow N 3)) (+ (/ 0.5 (* N N)) (/ 1.0 N))) (+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))) (+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))) (+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))) (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 0.5 (* N N)) (/ 1.0 N)) (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N)) (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N)) (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N) (/ (/ 0.5 N) N) (/ (/ 0.5 N) N) (+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N))) (+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N))) (+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N))) 5.802 * * * [progress]: adding candidates to table 6.562 * * [progress]: iteration 3 / 4 6.562 * * * [progress]: picking best candidate 6.570 * * * * [pick]: Picked # 6.571 * * * [progress]: localizing error 6.608 * * * [progress]: generating rewritten candidates 6.608 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2) 6.670 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 6.761 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 7.071 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 7.348 * * * [progress]: generating series expansions 7.348 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2) 7.348 * [backup-simplify]: Simplify (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))) into (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) 7.348 * [approximate]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) in (N) around 0 7.348 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) in N 7.348 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 7.348 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 7.348 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.348 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 7.348 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.348 * [taylor]: Taking taylor expansion of N in N 7.348 * [backup-simplify]: Simplify 0 into 0 7.348 * [backup-simplify]: Simplify 1 into 1 7.349 * [backup-simplify]: Simplify (* 1 1) into 1 7.350 * [backup-simplify]: Simplify (* 1 1) into 1 7.350 * [backup-simplify]: Simplify (/ 1 1) into 1 7.350 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 7.350 * [taylor]: Taking taylor expansion of 0.5 in N 7.350 * [backup-simplify]: Simplify 0.5 into 0.5 7.350 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 7.350 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.350 * [taylor]: Taking taylor expansion of N in N 7.350 * [backup-simplify]: Simplify 0 into 0 7.350 * [backup-simplify]: Simplify 1 into 1 7.350 * [backup-simplify]: Simplify (* 1 1) into 1 7.351 * [backup-simplify]: Simplify (/ 1 1) into 1 7.351 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) in N 7.351 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 7.351 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 7.351 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.351 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 7.351 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.351 * [taylor]: Taking taylor expansion of N in N 7.351 * [backup-simplify]: Simplify 0 into 0 7.351 * [backup-simplify]: Simplify 1 into 1 7.351 * [backup-simplify]: Simplify (* 1 1) into 1 7.352 * [backup-simplify]: Simplify (* 1 1) into 1 7.352 * [backup-simplify]: Simplify (/ 1 1) into 1 7.352 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 7.352 * [taylor]: Taking taylor expansion of 0.5 in N 7.352 * [backup-simplify]: Simplify 0.5 into 0.5 7.353 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 7.353 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.353 * [taylor]: Taking taylor expansion of N in N 7.353 * [backup-simplify]: Simplify 0 into 0 7.353 * [backup-simplify]: Simplify 1 into 1 7.353 * [backup-simplify]: Simplify (* 1 1) into 1 7.353 * [backup-simplify]: Simplify (/ 1 1) into 1 7.354 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 7.354 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 7.354 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.355 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.355 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.356 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 7.357 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 7.357 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 7.357 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 7.358 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 7.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.360 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 7.360 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.361 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 7.361 * [backup-simplify]: Simplify (- 0) into 0 7.362 * [backup-simplify]: Simplify (+ 0 0) into 0 7.362 * [backup-simplify]: Simplify 0 into 0 7.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.364 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.366 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 7.366 * [backup-simplify]: Simplify (- 0) into 0 7.366 * [backup-simplify]: Simplify (+ 0 0) into 0 7.366 * [backup-simplify]: Simplify 0 into 0 7.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.369 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.371 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.371 * [backup-simplify]: Simplify (- 0) into 0 7.371 * [backup-simplify]: Simplify (+ 0 0) into 0 7.371 * [backup-simplify]: Simplify 0 into 0 7.372 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.373 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.374 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.375 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.376 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.377 * [backup-simplify]: Simplify (- 0) into 0 7.377 * [backup-simplify]: Simplify (+ 0 0) into 0 7.377 * [backup-simplify]: Simplify 0 into 0 7.378 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.380 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.382 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.383 * [backup-simplify]: Simplify (- 0) into 0 7.383 * [backup-simplify]: Simplify (+ 0 0) into 0 7.383 * [backup-simplify]: Simplify 0 into 0 7.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 7.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 7.385 * [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 7.386 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 7.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.391 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.391 * [backup-simplify]: Simplify (- 0) into 0 7.391 * [backup-simplify]: Simplify (+ 0 0) into 0 7.392 * [backup-simplify]: Simplify 0 into 0 7.392 * [backup-simplify]: Simplify (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 0.3333333333333333 (pow (/ 1 N) 3))) into (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) 7.393 * [backup-simplify]: Simplify (- (/ 0.3333333333333333 (pow (/ 1 N) 3)) (/ 0.5 (* (/ 1 N) (/ 1 N)))) into (- (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) 7.393 * [approximate]: Taking taylor expansion of (- (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in (N) around 0 7.393 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in N 7.393 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 7.393 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 7.393 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.393 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.393 * [taylor]: Taking taylor expansion of N in N 7.393 * [backup-simplify]: Simplify 0 into 0 7.393 * [backup-simplify]: Simplify 1 into 1 7.393 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 7.393 * [taylor]: Taking taylor expansion of 0.5 in N 7.393 * [backup-simplify]: Simplify 0.5 into 0.5 7.393 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.393 * [taylor]: Taking taylor expansion of N in N 7.393 * [backup-simplify]: Simplify 0 into 0 7.393 * [backup-simplify]: Simplify 1 into 1 7.393 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in N 7.393 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 7.393 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 7.393 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.393 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.393 * [taylor]: Taking taylor expansion of N in N 7.393 * [backup-simplify]: Simplify 0 into 0 7.393 * [backup-simplify]: Simplify 1 into 1 7.393 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 7.393 * [taylor]: Taking taylor expansion of 0.5 in N 7.393 * [backup-simplify]: Simplify 0.5 into 0.5 7.394 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.394 * [taylor]: Taking taylor expansion of N in N 7.394 * [backup-simplify]: Simplify 0 into 0 7.394 * [backup-simplify]: Simplify 1 into 1 7.394 * [backup-simplify]: Simplify (* 1 1) into 1 7.395 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 7.395 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 7.397 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 7.397 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 7.398 * [backup-simplify]: Simplify (* 1 1) into 1 7.398 * [backup-simplify]: Simplify (* 1 1) into 1 7.398 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 7.399 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.400 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 7.400 * [backup-simplify]: Simplify (- 0) into 0 7.401 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 7.401 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.402 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.402 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.403 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 7.404 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.405 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 7.406 * [backup-simplify]: Simplify (- 0) into 0 7.406 * [backup-simplify]: Simplify (+ 0 0) into 0 7.406 * [backup-simplify]: Simplify 0 into 0 7.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.408 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.409 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 7.410 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.411 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.411 * [backup-simplify]: Simplify (- 0) into 0 7.412 * [backup-simplify]: Simplify (+ 0 0) into 0 7.412 * [backup-simplify]: Simplify 0 into 0 7.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.414 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.415 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.418 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.418 * [backup-simplify]: Simplify (- 0) into 0 7.418 * [backup-simplify]: Simplify (+ 0 0) into 0 7.418 * [backup-simplify]: Simplify 0 into 0 7.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.422 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.425 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.425 * [backup-simplify]: Simplify (- 0) into 0 7.425 * [backup-simplify]: Simplify (+ 0 0) into 0 7.425 * [backup-simplify]: Simplify 0 into 0 7.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.430 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.433 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.433 * [backup-simplify]: Simplify (- 0) into 0 7.434 * [backup-simplify]: Simplify (+ 0 0) into 0 7.434 * [backup-simplify]: Simplify 0 into 0 7.435 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.437 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.438 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.440 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 7.442 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 7.442 * [backup-simplify]: Simplify (- 0) into 0 7.442 * [backup-simplify]: Simplify (+ 0 0) into 0 7.443 * [backup-simplify]: Simplify 0 into 0 7.443 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (* (- 0.5) (pow (/ 1 N) 2))) into (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) 7.444 * [backup-simplify]: Simplify (- (/ 0.3333333333333333 (pow (/ 1 (- N)) 3)) (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N))))) into (- (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3)))) 7.444 * [approximate]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3)))) in (N) around 0 7.444 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3)))) in N 7.444 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))) in N 7.444 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 7.444 * [taylor]: Taking taylor expansion of 0.5 in N 7.444 * [backup-simplify]: Simplify 0.5 into 0.5 7.444 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.444 * [taylor]: Taking taylor expansion of N in N 7.444 * [backup-simplify]: Simplify 0 into 0 7.444 * [backup-simplify]: Simplify 1 into 1 7.444 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 7.444 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 7.444 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.444 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.444 * [taylor]: Taking taylor expansion of N in N 7.444 * [backup-simplify]: Simplify 0 into 0 7.444 * [backup-simplify]: Simplify 1 into 1 7.444 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3)))) in N 7.444 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))) in N 7.444 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 7.444 * [taylor]: Taking taylor expansion of 0.5 in N 7.444 * [backup-simplify]: Simplify 0.5 into 0.5 7.445 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.445 * [taylor]: Taking taylor expansion of N in N 7.445 * [backup-simplify]: Simplify 0 into 0 7.445 * [backup-simplify]: Simplify 1 into 1 7.445 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 7.445 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 7.445 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.445 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.445 * [taylor]: Taking taylor expansion of N in N 7.445 * [backup-simplify]: Simplify 0 into 0 7.445 * [backup-simplify]: Simplify 1 into 1 7.446 * [backup-simplify]: Simplify (* 1 1) into 1 7.446 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 7.446 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 7.447 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 7.450 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 7.451 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.451 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 7.452 * [backup-simplify]: Simplify (* 1 1) into 1 7.452 * [backup-simplify]: Simplify (* 1 1) into 1 7.453 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 7.453 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 7.454 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 7.454 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 7.455 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.456 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 7.457 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.458 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.458 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 7.459 * [backup-simplify]: Simplify (+ 0 0) into 0 7.459 * [backup-simplify]: Simplify (- 0) into 0 7.459 * [backup-simplify]: Simplify 0 into 0 7.460 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.461 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.462 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.463 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.464 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 7.464 * [backup-simplify]: Simplify (+ 0 0) into 0 7.465 * [backup-simplify]: Simplify (- 0) into 0 7.465 * [backup-simplify]: Simplify 0 into 0 7.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.467 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.469 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.469 * [backup-simplify]: Simplify (+ 0 0) into 0 7.469 * [backup-simplify]: Simplify (- 0) into 0 7.469 * [backup-simplify]: Simplify 0 into 0 7.470 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.471 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.471 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.473 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.473 * [backup-simplify]: Simplify (+ 0 0) into 0 7.473 * [backup-simplify]: Simplify (- 0) into 0 7.473 * [backup-simplify]: Simplify 0 into 0 7.474 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.475 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.476 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.477 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.478 * [backup-simplify]: Simplify (+ 0 0) into 0 7.478 * [backup-simplify]: Simplify (- 0) into 0 7.478 * [backup-simplify]: Simplify 0 into 0 7.479 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 7.480 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 7.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.482 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.483 * [backup-simplify]: Simplify (+ 0 0) into 0 7.483 * [backup-simplify]: Simplify (- 0) into 0 7.483 * [backup-simplify]: Simplify 0 into 0 7.484 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 (- N)) 3)) (* (- 0.5) (pow (/ 1 (- N)) 2))) into (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) 7.484 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 7.484 * [backup-simplify]: Simplify (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))) into (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) 7.484 * [approximate]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) in (N) around 0 7.484 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) in N 7.484 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 7.484 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 7.484 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.484 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 7.484 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.484 * [taylor]: Taking taylor expansion of N in N 7.484 * [backup-simplify]: Simplify 0 into 0 7.484 * [backup-simplify]: Simplify 1 into 1 7.484 * [backup-simplify]: Simplify (* 1 1) into 1 7.484 * [backup-simplify]: Simplify (* 1 1) into 1 7.485 * [backup-simplify]: Simplify (/ 1 1) into 1 7.485 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 7.485 * [taylor]: Taking taylor expansion of 0.5 in N 7.485 * [backup-simplify]: Simplify 0.5 into 0.5 7.485 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 7.485 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.485 * [taylor]: Taking taylor expansion of N in N 7.485 * [backup-simplify]: Simplify 0 into 0 7.485 * [backup-simplify]: Simplify 1 into 1 7.485 * [backup-simplify]: Simplify (* 1 1) into 1 7.485 * [backup-simplify]: Simplify (/ 1 1) into 1 7.485 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) in N 7.485 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 7.485 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 7.485 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.485 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 7.485 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.485 * [taylor]: Taking taylor expansion of N in N 7.485 * [backup-simplify]: Simplify 0 into 0 7.485 * [backup-simplify]: Simplify 1 into 1 7.486 * [backup-simplify]: Simplify (* 1 1) into 1 7.486 * [backup-simplify]: Simplify (* 1 1) into 1 7.486 * [backup-simplify]: Simplify (/ 1 1) into 1 7.486 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 7.486 * [taylor]: Taking taylor expansion of 0.5 in N 7.486 * [backup-simplify]: Simplify 0.5 into 0.5 7.486 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 7.486 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.486 * [taylor]: Taking taylor expansion of N in N 7.486 * [backup-simplify]: Simplify 0 into 0 7.486 * [backup-simplify]: Simplify 1 into 1 7.487 * [backup-simplify]: Simplify (* 1 1) into 1 7.487 * [backup-simplify]: Simplify (/ 1 1) into 1 7.487 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 7.488 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 7.488 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.488 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.488 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.489 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 7.489 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 7.490 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 7.490 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 7.490 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 7.491 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.492 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.493 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 7.493 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.494 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 7.494 * [backup-simplify]: Simplify (- 0) into 0 7.494 * [backup-simplify]: Simplify (+ 0 0) into 0 7.494 * [backup-simplify]: Simplify 0 into 0 7.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.496 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.498 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.501 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 7.501 * [backup-simplify]: Simplify (- 0) into 0 7.502 * [backup-simplify]: Simplify (+ 0 0) into 0 7.502 * [backup-simplify]: Simplify 0 into 0 7.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.506 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.508 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.510 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.510 * [backup-simplify]: Simplify (- 0) into 0 7.511 * [backup-simplify]: Simplify (+ 0 0) into 0 7.511 * [backup-simplify]: Simplify 0 into 0 7.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.514 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.516 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.520 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.520 * [backup-simplify]: Simplify (- 0) into 0 7.520 * [backup-simplify]: Simplify (+ 0 0) into 0 7.520 * [backup-simplify]: Simplify 0 into 0 7.522 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.526 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.530 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.531 * [backup-simplify]: Simplify (- 0) into 0 7.531 * [backup-simplify]: Simplify (+ 0 0) into 0 7.531 * [backup-simplify]: Simplify 0 into 0 7.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 7.535 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 7.536 * [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 7.538 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 7.540 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.543 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.543 * [backup-simplify]: Simplify (- 0) into 0 7.544 * [backup-simplify]: Simplify (+ 0 0) into 0 7.544 * [backup-simplify]: Simplify 0 into 0 7.545 * [backup-simplify]: Simplify (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 0.3333333333333333 (pow (/ 1 N) 3))) into (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) 7.545 * [backup-simplify]: Simplify (- (/ 0.3333333333333333 (pow (/ 1 N) 3)) (/ 0.5 (* (/ 1 N) (/ 1 N)))) into (- (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) 7.545 * [approximate]: Taking taylor expansion of (- (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in (N) around 0 7.545 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in N 7.545 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 7.545 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 7.545 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.545 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.545 * [taylor]: Taking taylor expansion of N in N 7.545 * [backup-simplify]: Simplify 0 into 0 7.545 * [backup-simplify]: Simplify 1 into 1 7.545 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 7.545 * [taylor]: Taking taylor expansion of 0.5 in N 7.545 * [backup-simplify]: Simplify 0.5 into 0.5 7.545 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.545 * [taylor]: Taking taylor expansion of N in N 7.545 * [backup-simplify]: Simplify 0 into 0 7.545 * [backup-simplify]: Simplify 1 into 1 7.545 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in N 7.546 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 7.546 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 7.546 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.546 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.546 * [taylor]: Taking taylor expansion of N in N 7.546 * [backup-simplify]: Simplify 0 into 0 7.546 * [backup-simplify]: Simplify 1 into 1 7.546 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 7.546 * [taylor]: Taking taylor expansion of 0.5 in N 7.546 * [backup-simplify]: Simplify 0.5 into 0.5 7.546 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.546 * [taylor]: Taking taylor expansion of N in N 7.546 * [backup-simplify]: Simplify 0 into 0 7.546 * [backup-simplify]: Simplify 1 into 1 7.546 * [backup-simplify]: Simplify (* 1 1) into 1 7.547 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 7.547 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 7.548 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 7.548 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 7.549 * [backup-simplify]: Simplify (* 1 1) into 1 7.549 * [backup-simplify]: Simplify (* 1 1) into 1 7.550 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 7.550 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.551 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 7.551 * [backup-simplify]: Simplify (- 0) into 0 7.552 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 7.552 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.553 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.553 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.554 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 7.555 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.556 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 7.556 * [backup-simplify]: Simplify (- 0) into 0 7.556 * [backup-simplify]: Simplify (+ 0 0) into 0 7.556 * [backup-simplify]: Simplify 0 into 0 7.557 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.559 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.559 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 7.561 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.562 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.562 * [backup-simplify]: Simplify (- 0) into 0 7.562 * [backup-simplify]: Simplify (+ 0 0) into 0 7.562 * [backup-simplify]: Simplify 0 into 0 7.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.566 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.567 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.568 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.569 * [backup-simplify]: Simplify (- 0) into 0 7.569 * [backup-simplify]: Simplify (+ 0 0) into 0 7.569 * [backup-simplify]: Simplify 0 into 0 7.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.573 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.577 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.577 * [backup-simplify]: Simplify (- 0) into 0 7.577 * [backup-simplify]: Simplify (+ 0 0) into 0 7.577 * [backup-simplify]: Simplify 0 into 0 7.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.579 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.580 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.582 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.582 * [backup-simplify]: Simplify (- 0) into 0 7.582 * [backup-simplify]: Simplify (+ 0 0) into 0 7.582 * [backup-simplify]: Simplify 0 into 0 7.583 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.584 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.585 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.586 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 7.587 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 7.587 * [backup-simplify]: Simplify (- 0) into 0 7.587 * [backup-simplify]: Simplify (+ 0 0) into 0 7.587 * [backup-simplify]: Simplify 0 into 0 7.588 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (* (- 0.5) (pow (/ 1 N) 2))) into (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) 7.588 * [backup-simplify]: Simplify (- (/ 0.3333333333333333 (pow (/ 1 (- N)) 3)) (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N))))) into (- (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3)))) 7.588 * [approximate]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3)))) in (N) around 0 7.588 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3)))) in N 7.588 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))) in N 7.588 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 7.588 * [taylor]: Taking taylor expansion of 0.5 in N 7.588 * [backup-simplify]: Simplify 0.5 into 0.5 7.588 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.588 * [taylor]: Taking taylor expansion of N in N 7.588 * [backup-simplify]: Simplify 0 into 0 7.588 * [backup-simplify]: Simplify 1 into 1 7.588 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 7.588 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 7.588 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.588 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.588 * [taylor]: Taking taylor expansion of N in N 7.588 * [backup-simplify]: Simplify 0 into 0 7.588 * [backup-simplify]: Simplify 1 into 1 7.588 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3)))) in N 7.588 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))) in N 7.588 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 7.588 * [taylor]: Taking taylor expansion of 0.5 in N 7.588 * [backup-simplify]: Simplify 0.5 into 0.5 7.588 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.588 * [taylor]: Taking taylor expansion of N in N 7.588 * [backup-simplify]: Simplify 0 into 0 7.588 * [backup-simplify]: Simplify 1 into 1 7.588 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 7.588 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 7.588 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.588 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.589 * [taylor]: Taking taylor expansion of N in N 7.589 * [backup-simplify]: Simplify 0 into 0 7.589 * [backup-simplify]: Simplify 1 into 1 7.589 * [backup-simplify]: Simplify (* 1 1) into 1 7.589 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 7.589 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 7.590 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 7.590 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 7.590 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.591 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 7.591 * [backup-simplify]: Simplify (* 1 1) into 1 7.591 * [backup-simplify]: Simplify (* 1 1) into 1 7.592 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 7.592 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 7.592 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 7.592 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 7.593 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.593 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 7.594 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.594 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.595 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 7.595 * [backup-simplify]: Simplify (+ 0 0) into 0 7.595 * [backup-simplify]: Simplify (- 0) into 0 7.595 * [backup-simplify]: Simplify 0 into 0 7.596 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.596 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.597 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.597 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.598 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 7.598 * [backup-simplify]: Simplify (+ 0 0) into 0 7.598 * [backup-simplify]: Simplify (- 0) into 0 7.598 * [backup-simplify]: Simplify 0 into 0 7.599 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.600 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.600 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.602 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.602 * [backup-simplify]: Simplify (+ 0 0) into 0 7.602 * [backup-simplify]: Simplify (- 0) into 0 7.602 * [backup-simplify]: Simplify 0 into 0 7.603 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.605 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.606 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.609 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.609 * [backup-simplify]: Simplify (+ 0 0) into 0 7.609 * [backup-simplify]: Simplify (- 0) into 0 7.609 * [backup-simplify]: Simplify 0 into 0 7.611 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.612 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.614 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.616 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.617 * [backup-simplify]: Simplify (+ 0 0) into 0 7.617 * [backup-simplify]: Simplify (- 0) into 0 7.617 * [backup-simplify]: Simplify 0 into 0 7.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 7.621 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 7.623 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.624 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.626 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.626 * [backup-simplify]: Simplify (+ 0 0) into 0 7.626 * [backup-simplify]: Simplify (- 0) into 0 7.626 * [backup-simplify]: Simplify 0 into 0 7.628 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 (- N)) 3)) (* (- 0.5) (pow (/ 1 (- N)) 2))) into (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) 7.628 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 7.628 * [backup-simplify]: Simplify (sqrt (+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))))) into (sqrt (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2))))) 7.628 * [approximate]: Taking taylor expansion of (sqrt (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2))))) in (N) around 0 7.628 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2))))) in N 7.628 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) in N 7.628 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) in N 7.628 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 7.628 * [taylor]: Taking taylor expansion of 1.0 in N 7.628 * [backup-simplify]: Simplify 1.0 into 1.0 7.628 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.628 * [taylor]: Taking taylor expansion of N in N 7.628 * [backup-simplify]: Simplify 0 into 0 7.629 * [backup-simplify]: Simplify 1 into 1 7.629 * [backup-simplify]: Simplify (/ 1 1) into 1 7.629 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 7.629 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 7.629 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.629 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 7.629 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.629 * [taylor]: Taking taylor expansion of N in N 7.629 * [backup-simplify]: Simplify 0 into 0 7.629 * [backup-simplify]: Simplify 1 into 1 7.630 * [backup-simplify]: Simplify (* 1 1) into 1 7.630 * [backup-simplify]: Simplify (* 1 1) into 1 7.630 * [backup-simplify]: Simplify (/ 1 1) into 1 7.630 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 7.630 * [taylor]: Taking taylor expansion of 0.5 in N 7.630 * [backup-simplify]: Simplify 0.5 into 0.5 7.630 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 7.630 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.630 * [taylor]: Taking taylor expansion of N in N 7.630 * [backup-simplify]: Simplify 0 into 0 7.630 * [backup-simplify]: Simplify 1 into 1 7.631 * [backup-simplify]: Simplify (* 1 1) into 1 7.631 * [backup-simplify]: Simplify (/ 1 1) into 1 7.632 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 7.632 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 7.632 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 7.633 * [backup-simplify]: Simplify (sqrt 0) into 0 7.635 * [backup-simplify]: Simplify (/ 0.3333333333333333 (* 2 (sqrt 0))) into +nan.0 7.635 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2))))) in N 7.635 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) in N 7.635 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) in N 7.635 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 7.635 * [taylor]: Taking taylor expansion of 1.0 in N 7.635 * [backup-simplify]: Simplify 1.0 into 1.0 7.635 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.635 * [taylor]: Taking taylor expansion of N in N 7.635 * [backup-simplify]: Simplify 0 into 0 7.635 * [backup-simplify]: Simplify 1 into 1 7.635 * [backup-simplify]: Simplify (/ 1 1) into 1 7.635 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 7.635 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 7.635 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.635 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 7.635 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.635 * [taylor]: Taking taylor expansion of N in N 7.635 * [backup-simplify]: Simplify 0 into 0 7.635 * [backup-simplify]: Simplify 1 into 1 7.635 * [backup-simplify]: Simplify (* 1 1) into 1 7.636 * [backup-simplify]: Simplify (* 1 1) into 1 7.636 * [backup-simplify]: Simplify (/ 1 1) into 1 7.636 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 7.636 * [taylor]: Taking taylor expansion of 0.5 in N 7.636 * [backup-simplify]: Simplify 0.5 into 0.5 7.636 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 7.636 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.636 * [taylor]: Taking taylor expansion of N in N 7.636 * [backup-simplify]: Simplify 0 into 0 7.636 * [backup-simplify]: Simplify 1 into 1 7.636 * [backup-simplify]: Simplify (* 1 1) into 1 7.637 * [backup-simplify]: Simplify (/ 1 1) into 1 7.637 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 7.637 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 7.637 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 7.638 * [backup-simplify]: Simplify (sqrt 0) into 0 7.639 * [backup-simplify]: Simplify (/ 0.3333333333333333 (* 2 (sqrt 0))) into +nan.0 7.639 * [backup-simplify]: Simplify 0 into 0 7.639 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.639 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.639 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.640 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 7.641 * [backup-simplify]: Simplify (+ 0 0) into 0 7.641 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 7.641 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 7.642 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 7.644 * [backup-simplify]: Simplify (/ (- (- 0.5) (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.644 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.644 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 7.645 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.645 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.646 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 7.647 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.647 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.648 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 7.648 * [backup-simplify]: Simplify (- 0) into 0 7.649 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.651 * [backup-simplify]: Simplify (/ (- 1.0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.651 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.651 * [backup-simplify]: Simplify (+ (* +nan.0 N) (+ +nan.0 (* +nan.0 (/ 1 N)))) into (- (+ (* +nan.0 N) (- (+ (* +nan.0 (/ 1 N)) (- +nan.0))))) 7.652 * [backup-simplify]: Simplify (sqrt (+ (/ 1.0 (/ 1 N)) (- (/ 0.3333333333333333 (pow (/ 1 N) 3)) (/ 0.5 (* (/ 1 N) (/ 1 N)))))) into (sqrt (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2)))) 7.652 * [approximate]: Taking taylor expansion of (sqrt (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2)))) in (N) around 0 7.652 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2)))) in N 7.652 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 7.652 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 7.652 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 7.652 * [taylor]: Taking taylor expansion of 1.0 in N 7.652 * [backup-simplify]: Simplify 1.0 into 1.0 7.652 * [taylor]: Taking taylor expansion of N in N 7.652 * [backup-simplify]: Simplify 0 into 0 7.652 * [backup-simplify]: Simplify 1 into 1 7.652 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 7.652 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 7.652 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.652 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.652 * [taylor]: Taking taylor expansion of N in N 7.652 * [backup-simplify]: Simplify 0 into 0 7.652 * [backup-simplify]: Simplify 1 into 1 7.652 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 7.652 * [taylor]: Taking taylor expansion of 0.5 in N 7.652 * [backup-simplify]: Simplify 0.5 into 0.5 7.652 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.652 * [taylor]: Taking taylor expansion of N in N 7.652 * [backup-simplify]: Simplify 0 into 0 7.652 * [backup-simplify]: Simplify 1 into 1 7.652 * [backup-simplify]: Simplify (* 1.0 0) into 0 7.653 * [backup-simplify]: Simplify (+ 0 0) into 0 7.653 * [backup-simplify]: Simplify (+ 0 0) into 0 7.654 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 7.654 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.654 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.655 * [backup-simplify]: Simplify (sqrt 0) into 0 7.656 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 7.656 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2)))) in N 7.656 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 7.656 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 7.656 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 7.656 * [taylor]: Taking taylor expansion of 1.0 in N 7.656 * [backup-simplify]: Simplify 1.0 into 1.0 7.656 * [taylor]: Taking taylor expansion of N in N 7.656 * [backup-simplify]: Simplify 0 into 0 7.656 * [backup-simplify]: Simplify 1 into 1 7.656 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 7.656 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 7.656 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.656 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.656 * [taylor]: Taking taylor expansion of N in N 7.656 * [backup-simplify]: Simplify 0 into 0 7.656 * [backup-simplify]: Simplify 1 into 1 7.657 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 7.657 * [taylor]: Taking taylor expansion of 0.5 in N 7.657 * [backup-simplify]: Simplify 0.5 into 0.5 7.657 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.657 * [taylor]: Taking taylor expansion of N in N 7.657 * [backup-simplify]: Simplify 0 into 0 7.657 * [backup-simplify]: Simplify 1 into 1 7.658 * [backup-simplify]: Simplify (* 1.0 0) into 0 7.658 * [backup-simplify]: Simplify (+ 0 0) into 0 7.659 * [backup-simplify]: Simplify (+ 0 0) into 0 7.660 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 7.661 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.661 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.662 * [backup-simplify]: Simplify (sqrt 0) into 0 7.663 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 7.664 * [backup-simplify]: Simplify 0 into 0 7.664 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.665 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 7.665 * [backup-simplify]: Simplify (+ 0 0) into 0 7.666 * [backup-simplify]: Simplify (* 1 1) into 1 7.666 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 7.666 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 7.667 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 7.671 * [backup-simplify]: Simplify (/ (- (- 0.5) (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.671 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.672 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.672 * [backup-simplify]: Simplify (* 1 1) into 1 7.673 * [backup-simplify]: Simplify (* 1 1) into 1 7.673 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 7.674 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 7.674 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.675 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 7.675 * [backup-simplify]: Simplify (- 0) into 0 7.676 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 7.680 * [backup-simplify]: Simplify (/ (- 0.3333333333333333 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.680 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.681 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 N) 3)) (+ (* +nan.0 (pow (/ 1 N) 2)) (* +nan.0 (/ 1 N)))) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) 7.681 * [backup-simplify]: Simplify (sqrt (+ (/ 1.0 (/ 1 (- N))) (- (/ 0.3333333333333333 (pow (/ 1 (- N)) 3)) (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N))))))) into (sqrt (- (+ (* 1.0 N) (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3)))))) 7.681 * [approximate]: Taking taylor expansion of (sqrt (- (+ (* 1.0 N) (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3)))))) in (N) around 0 7.682 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* 1.0 N) (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3)))))) in N 7.682 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))))) in N 7.682 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3)))) in N 7.682 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 7.682 * [taylor]: Taking taylor expansion of 1.0 in N 7.682 * [backup-simplify]: Simplify 1.0 into 1.0 7.682 * [taylor]: Taking taylor expansion of N in N 7.682 * [backup-simplify]: Simplify 0 into 0 7.682 * [backup-simplify]: Simplify 1 into 1 7.682 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))) in N 7.682 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 7.682 * [taylor]: Taking taylor expansion of 0.5 in N 7.682 * [backup-simplify]: Simplify 0.5 into 0.5 7.682 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.682 * [taylor]: Taking taylor expansion of N in N 7.682 * [backup-simplify]: Simplify 0 into 0 7.682 * [backup-simplify]: Simplify 1 into 1 7.682 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 7.682 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 7.682 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.682 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.682 * [taylor]: Taking taylor expansion of N in N 7.682 * [backup-simplify]: Simplify 0 into 0 7.682 * [backup-simplify]: Simplify 1 into 1 7.683 * [backup-simplify]: Simplify (* 1.0 0) into 0 7.683 * [backup-simplify]: Simplify (+ 0 0) into 0 7.683 * [backup-simplify]: Simplify (- 0) into 0 7.684 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 7.684 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.685 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 7.685 * [backup-simplify]: Simplify (sqrt 0) into 0 7.685 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 7.686 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 7.686 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* 1.0 N) (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3)))))) in N 7.686 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))))) in N 7.686 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3)))) in N 7.686 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 7.686 * [taylor]: Taking taylor expansion of 1.0 in N 7.686 * [backup-simplify]: Simplify 1.0 into 1.0 7.686 * [taylor]: Taking taylor expansion of N in N 7.686 * [backup-simplify]: Simplify 0 into 0 7.686 * [backup-simplify]: Simplify 1 into 1 7.686 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))) in N 7.687 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 7.687 * [taylor]: Taking taylor expansion of 0.5 in N 7.687 * [backup-simplify]: Simplify 0.5 into 0.5 7.687 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.687 * [taylor]: Taking taylor expansion of N in N 7.687 * [backup-simplify]: Simplify 0 into 0 7.687 * [backup-simplify]: Simplify 1 into 1 7.687 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 7.687 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 7.687 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.687 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.687 * [taylor]: Taking taylor expansion of N in N 7.687 * [backup-simplify]: Simplify 0 into 0 7.687 * [backup-simplify]: Simplify 1 into 1 7.687 * [backup-simplify]: Simplify (* 1.0 0) into 0 7.689 * [backup-simplify]: Simplify (+ 0 0) into 0 7.689 * [backup-simplify]: Simplify (- 0) into 0 7.690 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 7.690 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.690 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 7.691 * [backup-simplify]: Simplify (sqrt 0) into 0 7.691 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 7.692 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 7.692 * [backup-simplify]: Simplify 0 into 0 7.692 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.693 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 7.693 * [backup-simplify]: Simplify (* 1 1) into 1 7.693 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 7.694 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 7.694 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 7.694 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 7.696 * [backup-simplify]: Simplify (/ (- (- 0.5) (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.696 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.697 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.697 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.698 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 7.698 * [backup-simplify]: Simplify (* 1 1) into 1 7.698 * [backup-simplify]: Simplify (* 1 1) into 1 7.699 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 7.699 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 7.699 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 7.699 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 7.702 * [backup-simplify]: Simplify (/ (- (- 0.3333333333333333) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.702 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.702 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- N)) 3)) (+ (* +nan.0 (pow (/ 1 (- N)) 2)) (* +nan.0 (/ 1 (- N))))) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) 7.703 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 7.703 * [backup-simplify]: Simplify (sqrt (+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))))) into (sqrt (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2))))) 7.703 * [approximate]: Taking taylor expansion of (sqrt (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2))))) in (N) around 0 7.703 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2))))) in N 7.703 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) in N 7.703 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) in N 7.703 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 7.703 * [taylor]: Taking taylor expansion of 1.0 in N 7.703 * [backup-simplify]: Simplify 1.0 into 1.0 7.703 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.703 * [taylor]: Taking taylor expansion of N in N 7.703 * [backup-simplify]: Simplify 0 into 0 7.703 * [backup-simplify]: Simplify 1 into 1 7.703 * [backup-simplify]: Simplify (/ 1 1) into 1 7.703 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 7.703 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 7.703 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.703 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 7.703 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.703 * [taylor]: Taking taylor expansion of N in N 7.703 * [backup-simplify]: Simplify 0 into 0 7.703 * [backup-simplify]: Simplify 1 into 1 7.704 * [backup-simplify]: Simplify (* 1 1) into 1 7.704 * [backup-simplify]: Simplify (* 1 1) into 1 7.704 * [backup-simplify]: Simplify (/ 1 1) into 1 7.704 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 7.704 * [taylor]: Taking taylor expansion of 0.5 in N 7.704 * [backup-simplify]: Simplify 0.5 into 0.5 7.704 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 7.704 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.704 * [taylor]: Taking taylor expansion of N in N 7.704 * [backup-simplify]: Simplify 0 into 0 7.704 * [backup-simplify]: Simplify 1 into 1 7.705 * [backup-simplify]: Simplify (* 1 1) into 1 7.705 * [backup-simplify]: Simplify (/ 1 1) into 1 7.705 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 7.705 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 7.706 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 7.706 * [backup-simplify]: Simplify (sqrt 0) into 0 7.707 * [backup-simplify]: Simplify (/ 0.3333333333333333 (* 2 (sqrt 0))) into +nan.0 7.707 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2))))) in N 7.707 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) in N 7.707 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) in N 7.707 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 7.707 * [taylor]: Taking taylor expansion of 1.0 in N 7.707 * [backup-simplify]: Simplify 1.0 into 1.0 7.707 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.707 * [taylor]: Taking taylor expansion of N in N 7.707 * [backup-simplify]: Simplify 0 into 0 7.707 * [backup-simplify]: Simplify 1 into 1 7.707 * [backup-simplify]: Simplify (/ 1 1) into 1 7.707 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 7.707 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 7.707 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.707 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 7.707 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.707 * [taylor]: Taking taylor expansion of N in N 7.707 * [backup-simplify]: Simplify 0 into 0 7.707 * [backup-simplify]: Simplify 1 into 1 7.707 * [backup-simplify]: Simplify (* 1 1) into 1 7.708 * [backup-simplify]: Simplify (* 1 1) into 1 7.708 * [backup-simplify]: Simplify (/ 1 1) into 1 7.708 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 7.708 * [taylor]: Taking taylor expansion of 0.5 in N 7.708 * [backup-simplify]: Simplify 0.5 into 0.5 7.708 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 7.708 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.708 * [taylor]: Taking taylor expansion of N in N 7.708 * [backup-simplify]: Simplify 0 into 0 7.708 * [backup-simplify]: Simplify 1 into 1 7.708 * [backup-simplify]: Simplify (* 1 1) into 1 7.709 * [backup-simplify]: Simplify (/ 1 1) into 1 7.709 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 7.709 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 7.709 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 7.710 * [backup-simplify]: Simplify (sqrt 0) into 0 7.710 * [backup-simplify]: Simplify (/ 0.3333333333333333 (* 2 (sqrt 0))) into +nan.0 7.711 * [backup-simplify]: Simplify 0 into 0 7.711 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.711 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.711 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.712 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 7.712 * [backup-simplify]: Simplify (+ 0 0) into 0 7.713 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 7.713 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 7.714 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 7.716 * [backup-simplify]: Simplify (/ (- (- 0.5) (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.717 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.717 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 7.718 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.719 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.721 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 7.721 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.722 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.724 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 7.724 * [backup-simplify]: Simplify (- 0) into 0 7.724 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.729 * [backup-simplify]: Simplify (/ (- 1.0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.729 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.729 * [backup-simplify]: Simplify (+ (* +nan.0 N) (+ +nan.0 (* +nan.0 (/ 1 N)))) into (- (+ (* +nan.0 N) (- (+ (* +nan.0 (/ 1 N)) (- +nan.0))))) 7.730 * [backup-simplify]: Simplify (sqrt (+ (/ 1.0 (/ 1 N)) (- (/ 0.3333333333333333 (pow (/ 1 N) 3)) (/ 0.5 (* (/ 1 N) (/ 1 N)))))) into (sqrt (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2)))) 7.730 * [approximate]: Taking taylor expansion of (sqrt (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2)))) in (N) around 0 7.730 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2)))) in N 7.730 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 7.730 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 7.730 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 7.730 * [taylor]: Taking taylor expansion of 1.0 in N 7.730 * [backup-simplify]: Simplify 1.0 into 1.0 7.730 * [taylor]: Taking taylor expansion of N in N 7.730 * [backup-simplify]: Simplify 0 into 0 7.730 * [backup-simplify]: Simplify 1 into 1 7.730 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 7.730 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 7.730 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.730 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.730 * [taylor]: Taking taylor expansion of N in N 7.730 * [backup-simplify]: Simplify 0 into 0 7.730 * [backup-simplify]: Simplify 1 into 1 7.730 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 7.730 * [taylor]: Taking taylor expansion of 0.5 in N 7.730 * [backup-simplify]: Simplify 0.5 into 0.5 7.730 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.730 * [taylor]: Taking taylor expansion of N in N 7.730 * [backup-simplify]: Simplify 0 into 0 7.730 * [backup-simplify]: Simplify 1 into 1 7.731 * [backup-simplify]: Simplify (* 1.0 0) into 0 7.731 * [backup-simplify]: Simplify (+ 0 0) into 0 7.732 * [backup-simplify]: Simplify (+ 0 0) into 0 7.733 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 7.734 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.734 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.735 * [backup-simplify]: Simplify (sqrt 0) into 0 7.736 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 7.736 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2)))) in N 7.737 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 7.737 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 7.737 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 7.737 * [taylor]: Taking taylor expansion of 1.0 in N 7.737 * [backup-simplify]: Simplify 1.0 into 1.0 7.737 * [taylor]: Taking taylor expansion of N in N 7.737 * [backup-simplify]: Simplify 0 into 0 7.737 * [backup-simplify]: Simplify 1 into 1 7.737 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 7.737 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 7.737 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.737 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.737 * [taylor]: Taking taylor expansion of N in N 7.737 * [backup-simplify]: Simplify 0 into 0 7.737 * [backup-simplify]: Simplify 1 into 1 7.737 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 7.737 * [taylor]: Taking taylor expansion of 0.5 in N 7.737 * [backup-simplify]: Simplify 0.5 into 0.5 7.737 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.737 * [taylor]: Taking taylor expansion of N in N 7.737 * [backup-simplify]: Simplify 0 into 0 7.737 * [backup-simplify]: Simplify 1 into 1 7.738 * [backup-simplify]: Simplify (* 1.0 0) into 0 7.738 * [backup-simplify]: Simplify (+ 0 0) into 0 7.738 * [backup-simplify]: Simplify (+ 0 0) into 0 7.740 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 7.741 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.741 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.742 * [backup-simplify]: Simplify (sqrt 0) into 0 7.743 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 7.743 * [backup-simplify]: Simplify 0 into 0 7.743 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.744 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 7.744 * [backup-simplify]: Simplify (+ 0 0) into 0 7.744 * [backup-simplify]: Simplify (* 1 1) into 1 7.744 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 7.745 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 7.745 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 7.747 * [backup-simplify]: Simplify (/ (- (- 0.5) (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.747 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.748 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.748 * [backup-simplify]: Simplify (* 1 1) into 1 7.748 * [backup-simplify]: Simplify (* 1 1) into 1 7.749 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 7.749 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 7.749 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.750 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 7.750 * [backup-simplify]: Simplify (- 0) into 0 7.750 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 7.753 * [backup-simplify]: Simplify (/ (- 0.3333333333333333 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.753 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.753 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 N) 3)) (+ (* +nan.0 (pow (/ 1 N) 2)) (* +nan.0 (/ 1 N)))) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) 7.753 * [backup-simplify]: Simplify (sqrt (+ (/ 1.0 (/ 1 (- N))) (- (/ 0.3333333333333333 (pow (/ 1 (- N)) 3)) (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N))))))) into (sqrt (- (+ (* 1.0 N) (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3)))))) 7.753 * [approximate]: Taking taylor expansion of (sqrt (- (+ (* 1.0 N) (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3)))))) in (N) around 0 7.753 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* 1.0 N) (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3)))))) in N 7.753 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))))) in N 7.753 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3)))) in N 7.753 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 7.753 * [taylor]: Taking taylor expansion of 1.0 in N 7.753 * [backup-simplify]: Simplify 1.0 into 1.0 7.754 * [taylor]: Taking taylor expansion of N in N 7.754 * [backup-simplify]: Simplify 0 into 0 7.754 * [backup-simplify]: Simplify 1 into 1 7.754 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))) in N 7.754 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 7.754 * [taylor]: Taking taylor expansion of 0.5 in N 7.754 * [backup-simplify]: Simplify 0.5 into 0.5 7.754 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.754 * [taylor]: Taking taylor expansion of N in N 7.754 * [backup-simplify]: Simplify 0 into 0 7.754 * [backup-simplify]: Simplify 1 into 1 7.754 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 7.754 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 7.754 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.754 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.754 * [taylor]: Taking taylor expansion of N in N 7.754 * [backup-simplify]: Simplify 0 into 0 7.754 * [backup-simplify]: Simplify 1 into 1 7.754 * [backup-simplify]: Simplify (* 1.0 0) into 0 7.754 * [backup-simplify]: Simplify (+ 0 0) into 0 7.755 * [backup-simplify]: Simplify (- 0) into 0 7.755 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 7.756 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.756 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 7.756 * [backup-simplify]: Simplify (sqrt 0) into 0 7.756 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 7.757 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 7.757 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* 1.0 N) (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3)))))) in N 7.758 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))))) in N 7.758 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3)))) in N 7.758 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 7.758 * [taylor]: Taking taylor expansion of 1.0 in N 7.758 * [backup-simplify]: Simplify 1.0 into 1.0 7.758 * [taylor]: Taking taylor expansion of N in N 7.758 * [backup-simplify]: Simplify 0 into 0 7.758 * [backup-simplify]: Simplify 1 into 1 7.758 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))) in N 7.758 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 7.758 * [taylor]: Taking taylor expansion of 0.5 in N 7.758 * [backup-simplify]: Simplify 0.5 into 0.5 7.758 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.758 * [taylor]: Taking taylor expansion of N in N 7.758 * [backup-simplify]: Simplify 0 into 0 7.758 * [backup-simplify]: Simplify 1 into 1 7.758 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 7.758 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 7.758 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.758 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.758 * [taylor]: Taking taylor expansion of N in N 7.758 * [backup-simplify]: Simplify 0 into 0 7.758 * [backup-simplify]: Simplify 1 into 1 7.758 * [backup-simplify]: Simplify (* 1.0 0) into 0 7.758 * [backup-simplify]: Simplify (+ 0 0) into 0 7.759 * [backup-simplify]: Simplify (- 0) into 0 7.760 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 7.760 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.760 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 7.760 * [backup-simplify]: Simplify (sqrt 0) into 0 7.761 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 7.762 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 7.762 * [backup-simplify]: Simplify 0 into 0 7.762 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.762 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 7.763 * [backup-simplify]: Simplify (* 1 1) into 1 7.763 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 7.763 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 7.763 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 7.764 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 7.766 * [backup-simplify]: Simplify (/ (- (- 0.5) (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.766 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.766 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.767 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.768 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 7.768 * [backup-simplify]: Simplify (* 1 1) into 1 7.769 * [backup-simplify]: Simplify (* 1 1) into 1 7.769 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 7.770 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 7.770 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 7.770 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 7.775 * [backup-simplify]: Simplify (/ (- (- 0.3333333333333333) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.775 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.776 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- N)) 3)) (+ (* +nan.0 (pow (/ 1 (- N)) 2)) (* +nan.0 (/ 1 (- N))))) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) 7.776 * * * [progress]: simplifying candidates 7.780 * [simplify]: Simplifying: (/ (exp (/ 0.3333333333333333 (pow N 3))) (exp (/ 0.5 (* N N)))) (log (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))) (exp (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))) (* (cbrt (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))) (cbrt (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))))) (cbrt (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))) (* (* (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))) (sqrt (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))) (sqrt (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))) (- (* 0.3333333333333333 (* N N)) (* (pow N 3) 0.5)) (* (pow N 3) (* N N)) (- (pow (/ 0.3333333333333333 (pow N 3)) 3) (pow (/ 0.5 (* N N)) 3)) (+ (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (* (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))))) (- (/ 0.5 (* N N))) (- (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (* (/ 0.5 (* N N)) (/ 0.5 (* N N)))) (+ (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))) (+ (sqrt (/ 0.3333333333333333 (pow N 3))) (sqrt (/ 0.5 (* N N)))) (- (sqrt (/ 0.3333333333333333 (pow N 3))) (sqrt (/ 0.5 (* N N)))) (+ (sqrt (/ 0.3333333333333333 (pow N 3))) (/ (sqrt 0.5) N)) (- (sqrt (/ 0.3333333333333333 (pow N 3))) (/ (sqrt 0.5) N)) (+ (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (sqrt (/ 0.5 (* N N)))) (- (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (sqrt (/ 0.5 (* N N)))) (+ (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.5) N)) (- (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.5) N)) (+ (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (sqrt (/ 0.5 (* N N)))) (- (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (sqrt (/ 0.5 (* N N)))) (+ (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.5) N)) (- (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.5) N)) (+ (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (sqrt (/ 0.5 (* N N)))) (- (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (sqrt (/ 0.5 (* N N)))) (+ (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (/ (sqrt 0.5) N)) (- (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (/ (sqrt 0.5) N)) (+ (/ (sqrt 0.3333333333333333) (pow N (/ 3 2))) (sqrt (/ 0.5 (* N N)))) (- (/ (sqrt 0.3333333333333333) (pow N (/ 3 2))) (sqrt (/ 0.5 (* N N)))) (+ (/ (sqrt 0.3333333333333333) (pow N (/ 3 2))) (/ (sqrt 0.5) N)) (- (/ (sqrt 0.3333333333333333) (pow N (/ 3 2))) (/ (sqrt 0.5) N)) (- (/ 0.3333333333333333 (* N N)) (/ 0.5 N)) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))) (- (/ 0.5 (* N N))) (/ (exp (/ 0.3333333333333333 (pow N 3))) (exp (/ 0.5 (* N N)))) (log (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))) (exp (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))) (* (cbrt (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))) (cbrt (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))))) (cbrt (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))) (* (* (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))) (sqrt (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))) (sqrt (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))) (- (* 0.3333333333333333 (* N N)) (* (pow N 3) 0.5)) (* (pow N 3) (* N N)) (- (pow (/ 0.3333333333333333 (pow N 3)) 3) (pow (/ 0.5 (* N N)) 3)) (+ (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (* (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))))) (- (/ 0.5 (* N N))) (- (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (* (/ 0.5 (* N N)) (/ 0.5 (* N N)))) (+ (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))) (+ (sqrt (/ 0.3333333333333333 (pow N 3))) (sqrt (/ 0.5 (* N N)))) (- (sqrt (/ 0.3333333333333333 (pow N 3))) (sqrt (/ 0.5 (* N N)))) (+ (sqrt (/ 0.3333333333333333 (pow N 3))) (/ (sqrt 0.5) N)) (- (sqrt (/ 0.3333333333333333 (pow N 3))) (/ (sqrt 0.5) N)) (+ (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (sqrt (/ 0.5 (* N N)))) (- (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (sqrt (/ 0.5 (* N N)))) (+ (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.5) N)) (- (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.5) N)) (+ (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (sqrt (/ 0.5 (* N N)))) (- (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (sqrt (/ 0.5 (* N N)))) (+ (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.5) N)) (- (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.5) N)) (+ (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (sqrt (/ 0.5 (* N N)))) (- (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (sqrt (/ 0.5 (* N N)))) (+ (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (/ (sqrt 0.5) N)) (- (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (/ (sqrt 0.5) N)) (+ (/ (sqrt 0.3333333333333333) (pow N (/ 3 2))) (sqrt (/ 0.5 (* N N)))) (- (/ (sqrt 0.3333333333333333) (pow N (/ 3 2))) (sqrt (/ 0.5 (* N N)))) (+ (/ (sqrt 0.3333333333333333) (pow N (/ 3 2))) (/ (sqrt 0.5) N)) (- (/ (sqrt 0.3333333333333333) (pow N (/ 3 2))) (/ (sqrt 0.5) N)) (- (/ 0.3333333333333333 (* N N)) (/ 0.5 N)) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))) (- (/ 0.5 (* N N))) (log (sqrt (+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))))) (exp (sqrt (+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))))) (* (cbrt (sqrt (+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))))) (cbrt (sqrt (+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))))))) (cbrt (sqrt (+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))))) (* (* (sqrt (+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))))) (sqrt (+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))))) (sqrt (+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))))) (sqrt (* (cbrt (+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))))) (cbrt (+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))))))) (sqrt (cbrt (+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))))) (sqrt (sqrt (+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))))) (sqrt (sqrt (+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))))) (sqrt 1) (sqrt (+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))))) (sqrt 1) (sqrt (+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))))) (sqrt 1) (sqrt (+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))))) (sqrt (+ (* 1.0 (* (pow N 3) (* N N))) (* N (- (* 0.3333333333333333 (* N N)) (* (pow N 3) 0.5))))) (sqrt (* N (* (pow N 3) (* N N)))) (sqrt (+ (* 1.0 (+ (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (* (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))))) (* N (- (pow (/ 0.3333333333333333 (pow N 3)) 3) (pow (/ 0.5 (* N N)) 3))))) (sqrt (* N (+ (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (* (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))))))) (sqrt (+ (* 1.0 (+ (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))) (* N (- (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (* (/ 0.5 (* N N)) (/ 0.5 (* N N))))))) (sqrt (* N (+ (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))))) (sqrt (+ (pow (/ 1.0 N) 3) (pow (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))) 3))) (sqrt (+ (* (/ 1.0 N) (/ 1.0 N)) (- (* (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))) (* (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))))))) (sqrt (- (* (/ 1.0 N) (/ 1.0 N)) (* (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))))) (sqrt (- (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))))) (/ 1 2) (sqrt (sqrt (+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))))) (sqrt (sqrt (+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))))) (log (sqrt (+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))))) (exp (sqrt (+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))))) (* (cbrt (sqrt (+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))))) (cbrt (sqrt (+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))))))) (cbrt (sqrt (+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))))) (* (* (sqrt (+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))))) (sqrt (+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))))) (sqrt (+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))))) (sqrt (* (cbrt (+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))))) (cbrt (+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))))))) (sqrt (cbrt (+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))))) (sqrt (sqrt (+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))))) (sqrt (sqrt (+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))))) (sqrt 1) (sqrt (+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))))) (sqrt 1) (sqrt (+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))))) (sqrt 1) (sqrt (+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))))) (sqrt (+ (* 1.0 (* (pow N 3) (* N N))) (* N (- (* 0.3333333333333333 (* N N)) (* (pow N 3) 0.5))))) (sqrt (* N (* (pow N 3) (* N N)))) (sqrt (+ (* 1.0 (+ (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (* (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))))) (* N (- (pow (/ 0.3333333333333333 (pow N 3)) 3) (pow (/ 0.5 (* N N)) 3))))) (sqrt (* N (+ (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (* (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))))))) (sqrt (+ (* 1.0 (+ (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))) (* N (- (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (* (/ 0.5 (* N N)) (/ 0.5 (* N N))))))) (sqrt (* N (+ (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))))) (sqrt (+ (pow (/ 1.0 N) 3) (pow (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))) 3))) (sqrt (+ (* (/ 1.0 N) (/ 1.0 N)) (- (* (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))) (* (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))))))) (sqrt (- (* (/ 1.0 N) (/ 1.0 N)) (* (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))))) (sqrt (- (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))))) (/ 1 2) (sqrt (sqrt (+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))))) (sqrt (sqrt (+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))))) (- (* 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 (/ 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 (/ 1 (pow N 2)))) (- (+ (* +nan.0 N) (- (+ (* +nan.0 (/ 1 N)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) (- (+ (* +nan.0 N) (- (+ (* +nan.0 (/ 1 N)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) 7.784 * * [simplify]: iteration 0: 138 enodes 7.841 * * [simplify]: iteration 1: 343 enodes 8.060 * * [simplify]: iteration 2: 1387 enodes 8.575 * * [simplify]: iteration complete: 5000 enodes 8.575 * * [simplify]: Extracting #0: cost 54 inf + 0 8.575 * * [simplify]: Extracting #1: cost 260 inf + 2 8.578 * * [simplify]: Extracting #2: cost 1306 inf + 97 8.587 * * [simplify]: Extracting #3: cost 2014 inf + 1940 8.602 * * [simplify]: Extracting #4: cost 949 inf + 9273 8.624 * * [simplify]: Extracting #5: cost 241 inf + 16637 8.638 * * [simplify]: Extracting #6: cost 25 inf + 19435 8.652 * * [simplify]: Extracting #7: cost 3 inf + 19697 8.665 * * [simplify]: Extracting #8: cost 0 inf + 19718 8.675 * [simplify]: Simplified to: (exp (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N))) (log (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N))) (exp (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N))) (* (cbrt (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N))) (cbrt (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N)))) (cbrt (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N))) (pow (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N)) 3) (sqrt (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N))) (sqrt (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N))) (- (* (pow N 2) 0.3333333333333333) (* (pow N 3) 0.5)) (* (pow N 4) N) (- (pow (/ 0.3333333333333333 (pow N 3)) 3) (pow (/ (/ 0.5 N) N) 3)) (+ (* (/ (/ 0.5 N) N) (+ (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N))) (/ (/ 0.3333333333333333 (pow N 3)) (/ (pow N 3) 0.3333333333333333))) (- (/ (/ 0.5 N) N)) (- (/ (/ 0.3333333333333333 (pow N 3)) (/ (pow N 3) 0.3333333333333333)) (* (/ 0.5 N) (/ (/ (/ 0.5 N) N) N))) (+ (/ (/ 0.5 N) N) (/ 0.3333333333333333 (pow N 3))) (+ (sqrt (/ (/ 0.5 N) N)) (sqrt (/ 0.3333333333333333 (pow N 3)))) (- (sqrt (/ 0.3333333333333333 (pow N 3))) (sqrt (/ (/ 0.5 N) N))) (+ (sqrt (/ 0.3333333333333333 (pow N 3))) (/ (sqrt 0.5) N)) (- (sqrt (/ 0.3333333333333333 (pow N 3))) (/ (sqrt 0.5) N)) (+ (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (sqrt (/ (/ 0.5 N) N))) (- (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (sqrt (/ (/ 0.5 N) N))) (+ (/ (sqrt 0.5) N) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3))) (- (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.5) N)) (+ (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (sqrt (/ (/ 0.5 N) N))) (- (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (sqrt (/ (/ 0.5 N) N))) (+ (/ (sqrt 0.5) N) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3))) (- (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.5) N)) (+ (/ (sqrt 0.3333333333333333) (fabs (pow N 3/2))) (sqrt (/ (/ 0.5 N) N))) (- (/ (sqrt 0.3333333333333333) (fabs (pow N 3/2))) (sqrt (/ (/ 0.5 N) N))) (+ (/ (sqrt 0.3333333333333333) (fabs (pow N 3/2))) (/ (sqrt 0.5) N)) (- (/ (sqrt 0.3333333333333333) (fabs (pow N 3/2))) (/ (sqrt 0.5) N)) (+ (/ (sqrt 0.3333333333333333) (pow N 3/2)) (sqrt (/ (/ 0.5 N) N))) (- (/ (sqrt 0.3333333333333333) (pow N 3/2)) (sqrt (/ (/ 0.5 N) N))) (+ (/ (sqrt 0.3333333333333333) (pow N 3/2)) (/ (sqrt 0.5) N)) (- (/ (sqrt 0.3333333333333333) (pow N 3/2)) (/ (sqrt 0.5) N)) (- (/ 0.3333333333333333 (* N N)) (/ 0.5 N)) (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N)) (- (/ (/ 0.5 N) N)) (exp (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N))) (log (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N))) (exp (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N))) (* (cbrt (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N))) (cbrt (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N)))) (cbrt (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N))) (pow (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N)) 3) (sqrt (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N))) (sqrt (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N))) (- (* (pow N 2) 0.3333333333333333) (* (pow N 3) 0.5)) (* (pow N 4) N) (- (pow (/ 0.3333333333333333 (pow N 3)) 3) (pow (/ (/ 0.5 N) N) 3)) (+ (* (/ (/ 0.5 N) N) (+ (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N))) (/ (/ 0.3333333333333333 (pow N 3)) (/ (pow N 3) 0.3333333333333333))) (- (/ (/ 0.5 N) N)) (- (/ (/ 0.3333333333333333 (pow N 3)) (/ (pow N 3) 0.3333333333333333)) (* (/ 0.5 N) (/ (/ (/ 0.5 N) N) N))) (+ (/ (/ 0.5 N) N) (/ 0.3333333333333333 (pow N 3))) (+ (sqrt (/ (/ 0.5 N) N)) (sqrt (/ 0.3333333333333333 (pow N 3)))) (- (sqrt (/ 0.3333333333333333 (pow N 3))) (sqrt (/ (/ 0.5 N) N))) (+ (sqrt (/ 0.3333333333333333 (pow N 3))) (/ (sqrt 0.5) N)) (- (sqrt (/ 0.3333333333333333 (pow N 3))) (/ (sqrt 0.5) N)) (+ (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (sqrt (/ (/ 0.5 N) N))) (- (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (sqrt (/ (/ 0.5 N) N))) (+ (/ (sqrt 0.5) N) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3))) (- (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.5) N)) (+ (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (sqrt (/ (/ 0.5 N) N))) (- (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (sqrt (/ (/ 0.5 N) N))) (+ (/ (sqrt 0.5) N) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3))) (- (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.5) N)) (+ (/ (sqrt 0.3333333333333333) (fabs (pow N 3/2))) (sqrt (/ (/ 0.5 N) N))) (- (/ (sqrt 0.3333333333333333) (fabs (pow N 3/2))) (sqrt (/ (/ 0.5 N) N))) (+ (/ (sqrt 0.3333333333333333) (fabs (pow N 3/2))) (/ (sqrt 0.5) N)) (- (/ (sqrt 0.3333333333333333) (fabs (pow N 3/2))) (/ (sqrt 0.5) N)) (+ (/ (sqrt 0.3333333333333333) (pow N 3/2)) (sqrt (/ (/ 0.5 N) N))) (- (/ (sqrt 0.3333333333333333) (pow N 3/2)) (sqrt (/ (/ 0.5 N) N))) (+ (/ (sqrt 0.3333333333333333) (pow N 3/2)) (/ (sqrt 0.5) N)) (- (/ (sqrt 0.3333333333333333) (pow N 3/2)) (/ (sqrt 0.5) N)) (- (/ 0.3333333333333333 (* N N)) (/ 0.5 N)) (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N)) (- (/ (/ 0.5 N) N)) (log (sqrt (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ (/ 0.5 N) N)))) (exp (sqrt (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ (/ 0.5 N) N)))) (* (cbrt (sqrt (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ (/ 0.5 N) N)))) (cbrt (sqrt (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ (/ 0.5 N) N))))) (cbrt (sqrt (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ (/ 0.5 N) N)))) (pow (sqrt (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ (/ 0.5 N) N))) 3) (fabs (cbrt (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ (/ 0.5 N) N)))) (sqrt (cbrt (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ (/ 0.5 N) N)))) (sqrt (sqrt (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ (/ 0.5 N) N)))) (sqrt (sqrt (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ (/ 0.5 N) N)))) 1 (sqrt (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ (/ 0.5 N) N))) 1 (sqrt (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ (/ 0.5 N) N))) 1 (sqrt (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ (/ 0.5 N) N))) (sqrt (+ (* (* 1.0 (pow N 4)) N) (* (- (* (pow N 2) 0.3333333333333333) (* (pow N 3) 0.5)) N))) (sqrt (* (pow N 3) (pow N 3))) (sqrt (+ (* N (- (pow (/ 0.3333333333333333 (pow N 3)) 3) (pow (/ (/ 0.5 N) N) 3))) (* (+ (* (/ (/ 0.5 N) N) (+ (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N))) (/ (/ 0.3333333333333333 (pow N 3)) (/ (pow N 3) 0.3333333333333333))) 1.0))) (sqrt (* (+ (* (/ (/ 0.5 N) N) (+ (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N))) (/ (/ 0.3333333333333333 (pow N 3)) (/ (pow N 3) 0.3333333333333333))) N)) (sqrt (+ (* 1.0 (+ (/ (/ 0.5 N) N) (/ 0.3333333333333333 (pow N 3)))) (* N (- (/ (/ 0.3333333333333333 (pow N 3)) (/ (pow N 3) 0.3333333333333333)) (* (/ 0.5 N) (/ (/ (/ 0.5 N) N) N)))))) (sqrt (* N (+ (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N)))) (sqrt (+ (pow (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N)) 3) (pow (/ 1.0 N) 3))) (sqrt (+ (* (/ 1.0 N) (/ 1.0 N)) (* (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N)) (- (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N)) (/ 1.0 N))))) (sqrt (* (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ (/ 0.5 N) N)) (- (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N))))) (sqrt (- (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N)))) 1/2 (sqrt (sqrt (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ (/ 0.5 N) N)))) (sqrt (sqrt (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ (/ 0.5 N) N)))) (log (sqrt (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ (/ 0.5 N) N)))) (exp (sqrt (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ (/ 0.5 N) N)))) (* (cbrt (sqrt (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ (/ 0.5 N) N)))) (cbrt (sqrt (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ (/ 0.5 N) N))))) (cbrt (sqrt (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ (/ 0.5 N) N)))) (pow (sqrt (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ (/ 0.5 N) N))) 3) (fabs (cbrt (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ (/ 0.5 N) N)))) (sqrt (cbrt (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ (/ 0.5 N) N)))) (sqrt (sqrt (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ (/ 0.5 N) N)))) (sqrt (sqrt (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ (/ 0.5 N) N)))) 1 (sqrt (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ (/ 0.5 N) N))) 1 (sqrt (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ (/ 0.5 N) N))) 1 (sqrt (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ (/ 0.5 N) N))) (sqrt (+ (* (* 1.0 (pow N 4)) N) (* (- (* (pow N 2) 0.3333333333333333) (* (pow N 3) 0.5)) N))) (sqrt (* (pow N 3) (pow N 3))) (sqrt (+ (* N (- (pow (/ 0.3333333333333333 (pow N 3)) 3) (pow (/ (/ 0.5 N) N) 3))) (* (+ (* (/ (/ 0.5 N) N) (+ (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N))) (/ (/ 0.3333333333333333 (pow N 3)) (/ (pow N 3) 0.3333333333333333))) 1.0))) (sqrt (* (+ (* (/ (/ 0.5 N) N) (+ (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N))) (/ (/ 0.3333333333333333 (pow N 3)) (/ (pow N 3) 0.3333333333333333))) N)) (sqrt (+ (* 1.0 (+ (/ (/ 0.5 N) N) (/ 0.3333333333333333 (pow N 3)))) (* N (- (/ (/ 0.3333333333333333 (pow N 3)) (/ (pow N 3) 0.3333333333333333)) (* (/ 0.5 N) (/ (/ (/ 0.5 N) N) N)))))) (sqrt (* N (+ (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N)))) (sqrt (+ (pow (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N)) 3) (pow (/ 1.0 N) 3))) (sqrt (+ (* (/ 1.0 N) (/ 1.0 N)) (* (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N)) (- (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N)) (/ 1.0 N))))) (sqrt (* (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ (/ 0.5 N) N)) (- (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N))))) (sqrt (- (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N)))) 1/2 (sqrt (sqrt (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ (/ 0.5 N) N)))) (sqrt (sqrt (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ (/ 0.5 N) N)))) (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N)) (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N)) (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N)) (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N)) (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N)) (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N)) (+ (- (* +nan.0 N)) (- (/ +nan.0 N) +nan.0)) (+ (- (/ +nan.0 (pow N 3)) (/ +nan.0 N)) (- (/ (/ +nan.0 N) N))) (+ (- (/ +nan.0 (pow N 3)) (/ +nan.0 N)) (- (/ (/ +nan.0 N) N))) (+ (- (* +nan.0 N)) (- (/ +nan.0 N) +nan.0)) (+ (- (/ +nan.0 (pow N 3)) (/ +nan.0 N)) (- (/ (/ +nan.0 N) N))) (+ (- (/ +nan.0 (pow N 3)) (/ +nan.0 N)) (- (/ (/ +nan.0 N) N))) 8.676 * * * [progress]: adding candidates to table 9.336 * * [progress]: iteration 4 / 4 9.336 * * * [progress]: picking best candidate 9.346 * * * * [pick]: Picked # 9.346 * * * [progress]: localizing error 9.355 * * * [progress]: generating rewritten candidates 9.355 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 9.360 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 9.376 * * * [progress]: generating series expansions 9.376 * * * * [progress]: [ 1 / 2 ] generating series at (2) 9.376 * [backup-simplify]: Simplify (log (/ (+ 1.0 N) N)) into (log (/ (+ N 1.0) N)) 9.376 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 9.376 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 9.376 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 9.376 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 9.376 * [taylor]: Taking taylor expansion of N in N 9.376 * [backup-simplify]: Simplify 0 into 0 9.376 * [backup-simplify]: Simplify 1 into 1 9.376 * [taylor]: Taking taylor expansion of 1.0 in N 9.376 * [backup-simplify]: Simplify 1.0 into 1.0 9.376 * [taylor]: Taking taylor expansion of N in N 9.376 * [backup-simplify]: Simplify 0 into 0 9.376 * [backup-simplify]: Simplify 1 into 1 9.377 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.377 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 9.377 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 9.377 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 9.377 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 9.377 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 9.377 * [taylor]: Taking taylor expansion of N in N 9.377 * [backup-simplify]: Simplify 0 into 0 9.377 * [backup-simplify]: Simplify 1 into 1 9.377 * [taylor]: Taking taylor expansion of 1.0 in N 9.377 * [backup-simplify]: Simplify 1.0 into 1.0 9.377 * [taylor]: Taking taylor expansion of N in N 9.378 * [backup-simplify]: Simplify 0 into 0 9.378 * [backup-simplify]: Simplify 1 into 1 9.378 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.378 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 9.378 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 9.379 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 9.379 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 9.380 * [backup-simplify]: Simplify (+ 1 0) into 1 9.380 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 9.384 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 9.384 * [backup-simplify]: Simplify 1.0 into 1.0 9.384 * [backup-simplify]: Simplify (+ 0 0) into 0 9.385 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 9.397 * [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)) 9.398 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 9.400 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (log 1.0) (* 1.0 N)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 9.400 * [backup-simplify]: Simplify (log (/ (+ 1.0 (/ 1 N)) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 9.400 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 9.400 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 9.400 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 9.400 * [taylor]: Taking taylor expansion of N in N 9.401 * [backup-simplify]: Simplify 0 into 0 9.401 * [backup-simplify]: Simplify 1 into 1 9.401 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 9.401 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.401 * [taylor]: Taking taylor expansion of N in N 9.401 * [backup-simplify]: Simplify 0 into 0 9.401 * [backup-simplify]: Simplify 1 into 1 9.401 * [backup-simplify]: Simplify (/ 1 1) into 1 9.401 * [taylor]: Taking taylor expansion of 1.0 in N 9.401 * [backup-simplify]: Simplify 1.0 into 1.0 9.402 * [backup-simplify]: Simplify (+ 1 0) into 1 9.402 * [backup-simplify]: Simplify (* 0 1) into 0 9.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.403 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.404 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 9.404 * [backup-simplify]: Simplify (log 1) into 0 9.404 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 9.404 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 9.404 * [taylor]: Taking taylor expansion of N in N 9.404 * [backup-simplify]: Simplify 0 into 0 9.404 * [backup-simplify]: Simplify 1 into 1 9.404 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 9.405 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.405 * [taylor]: Taking taylor expansion of N in N 9.405 * [backup-simplify]: Simplify 0 into 0 9.405 * [backup-simplify]: Simplify 1 into 1 9.405 * [backup-simplify]: Simplify (/ 1 1) into 1 9.405 * [taylor]: Taking taylor expansion of 1.0 in N 9.405 * [backup-simplify]: Simplify 1.0 into 1.0 9.405 * [backup-simplify]: Simplify (+ 1 0) into 1 9.406 * [backup-simplify]: Simplify (* 0 1) into 0 9.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.407 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.408 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 9.408 * [backup-simplify]: Simplify (log 1) into 0 9.408 * [backup-simplify]: Simplify 0 into 0 9.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.410 * [backup-simplify]: Simplify (+ 0 0) into 0 9.412 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 9.419 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 9.419 * [backup-simplify]: Simplify 1.0 into 1.0 9.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.420 * [backup-simplify]: Simplify (+ 0 0) into 0 9.421 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 9.433 * [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 9.433 * [backup-simplify]: Simplify -0.5 into -0.5 9.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.434 * [backup-simplify]: Simplify (+ 0 0) into 0 9.435 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 9.459 * [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 9.459 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.459 * [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)))) 9.460 * [backup-simplify]: Simplify (log (/ (+ 1.0 (/ 1 (- N))) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 9.460 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 9.460 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 9.460 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 9.460 * [taylor]: Taking taylor expansion of -1 in N 9.460 * [backup-simplify]: Simplify -1 into -1 9.460 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 9.460 * [taylor]: Taking taylor expansion of N in N 9.460 * [backup-simplify]: Simplify 0 into 0 9.460 * [backup-simplify]: Simplify 1 into 1 9.460 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 9.460 * [taylor]: Taking taylor expansion of 1.0 in N 9.460 * [backup-simplify]: Simplify 1.0 into 1.0 9.460 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.460 * [taylor]: Taking taylor expansion of N in N 9.460 * [backup-simplify]: Simplify 0 into 0 9.460 * [backup-simplify]: Simplify 1 into 1 9.460 * [backup-simplify]: Simplify (/ 1 1) into 1 9.461 * [backup-simplify]: Simplify (- 1) into -1 9.461 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.462 * [backup-simplify]: Simplify (* 0 -1) into 0 9.462 * [backup-simplify]: Simplify (* -1 0) into 0 9.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.463 * [backup-simplify]: Simplify (- 0) into 0 9.464 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.464 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 9.465 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 9.466 * [backup-simplify]: Simplify (log 1) into 0 9.466 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 9.466 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 9.466 * [taylor]: Taking taylor expansion of -1 in N 9.466 * [backup-simplify]: Simplify -1 into -1 9.466 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 9.466 * [taylor]: Taking taylor expansion of N in N 9.466 * [backup-simplify]: Simplify 0 into 0 9.466 * [backup-simplify]: Simplify 1 into 1 9.466 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 9.466 * [taylor]: Taking taylor expansion of 1.0 in N 9.466 * [backup-simplify]: Simplify 1.0 into 1.0 9.466 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.466 * [taylor]: Taking taylor expansion of N in N 9.466 * [backup-simplify]: Simplify 0 into 0 9.466 * [backup-simplify]: Simplify 1 into 1 9.466 * [backup-simplify]: Simplify (/ 1 1) into 1 9.467 * [backup-simplify]: Simplify (- 1) into -1 9.467 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.468 * [backup-simplify]: Simplify (* 0 -1) into 0 9.468 * [backup-simplify]: Simplify (* -1 0) into 0 9.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.469 * [backup-simplify]: Simplify (- 0) into 0 9.470 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.470 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 9.471 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 9.471 * [backup-simplify]: Simplify (log 1) into 0 9.472 * [backup-simplify]: Simplify 0 into 0 9.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.473 * [backup-simplify]: Simplify (- 0) into 0 9.473 * [backup-simplify]: Simplify (+ 0 0) into 0 9.476 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 9.478 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 9.483 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 9.483 * [backup-simplify]: Simplify -1.0 into -1.0 9.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.484 * [backup-simplify]: Simplify (- 0) into 0 9.484 * [backup-simplify]: Simplify (+ 0 0) into 0 9.485 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 9.485 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 9.492 * [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 9.492 * [backup-simplify]: Simplify -0.5 into -0.5 9.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.493 * [backup-simplify]: Simplify (- 0) into 0 9.493 * [backup-simplify]: Simplify (+ 0 0) into 0 9.494 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 9.495 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 9.506 * [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 9.507 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 9.507 * [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)))) 9.507 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 9.507 * [backup-simplify]: Simplify (/ (+ 1.0 N) N) into (/ (+ N 1.0) N) 9.507 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 9.507 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 9.507 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 9.507 * [taylor]: Taking taylor expansion of N in N 9.507 * [backup-simplify]: Simplify 0 into 0 9.507 * [backup-simplify]: Simplify 1 into 1 9.507 * [taylor]: Taking taylor expansion of 1.0 in N 9.507 * [backup-simplify]: Simplify 1.0 into 1.0 9.507 * [taylor]: Taking taylor expansion of N in N 9.507 * [backup-simplify]: Simplify 0 into 0 9.507 * [backup-simplify]: Simplify 1 into 1 9.508 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.508 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 9.508 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 9.508 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 9.508 * [taylor]: Taking taylor expansion of N in N 9.508 * [backup-simplify]: Simplify 0 into 0 9.508 * [backup-simplify]: Simplify 1 into 1 9.508 * [taylor]: Taking taylor expansion of 1.0 in N 9.508 * [backup-simplify]: Simplify 1.0 into 1.0 9.508 * [taylor]: Taking taylor expansion of N in N 9.508 * [backup-simplify]: Simplify 0 into 0 9.508 * [backup-simplify]: Simplify 1 into 1 9.508 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.509 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 9.509 * [backup-simplify]: Simplify 1.0 into 1.0 9.509 * [backup-simplify]: Simplify (+ 1 0) into 1 9.509 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 9.509 * [backup-simplify]: Simplify 1 into 1 9.510 * [backup-simplify]: Simplify (+ 0 0) into 0 9.510 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 9.510 * [backup-simplify]: Simplify 0 into 0 9.511 * [backup-simplify]: Simplify (+ 0 0) into 0 9.512 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.512 * [backup-simplify]: Simplify 0 into 0 9.512 * [backup-simplify]: Simplify (+ 0 0) into 0 9.513 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.513 * [backup-simplify]: Simplify 0 into 0 9.514 * [backup-simplify]: Simplify (+ 0 0) into 0 9.515 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.515 * [backup-simplify]: Simplify 0 into 0 9.515 * [backup-simplify]: Simplify (+ 0 0) into 0 9.517 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.517 * [backup-simplify]: Simplify 0 into 0 9.517 * [backup-simplify]: Simplify (+ 0 0) into 0 9.518 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.518 * [backup-simplify]: Simplify 0 into 0 9.518 * [backup-simplify]: Simplify (+ 1 (* 1.0 (/ 1 N))) into (+ (* 1.0 (/ 1 N)) 1) 9.519 * [backup-simplify]: Simplify (/ (+ 1.0 (/ 1 N)) (/ 1 N)) into (* N (+ (/ 1 N) 1.0)) 9.519 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 9.519 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 9.519 * [taylor]: Taking taylor expansion of N in N 9.519 * [backup-simplify]: Simplify 0 into 0 9.519 * [backup-simplify]: Simplify 1 into 1 9.519 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 9.519 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.519 * [taylor]: Taking taylor expansion of N in N 9.519 * [backup-simplify]: Simplify 0 into 0 9.519 * [backup-simplify]: Simplify 1 into 1 9.519 * [backup-simplify]: Simplify (/ 1 1) into 1 9.519 * [taylor]: Taking taylor expansion of 1.0 in N 9.519 * [backup-simplify]: Simplify 1.0 into 1.0 9.519 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 9.519 * [taylor]: Taking taylor expansion of N in N 9.519 * [backup-simplify]: Simplify 0 into 0 9.520 * [backup-simplify]: Simplify 1 into 1 9.520 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 9.520 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.520 * [taylor]: Taking taylor expansion of N in N 9.520 * [backup-simplify]: Simplify 0 into 0 9.520 * [backup-simplify]: Simplify 1 into 1 9.520 * [backup-simplify]: Simplify (/ 1 1) into 1 9.520 * [taylor]: Taking taylor expansion of 1.0 in N 9.520 * [backup-simplify]: Simplify 1.0 into 1.0 9.521 * [backup-simplify]: Simplify (+ 1 0) into 1 9.521 * [backup-simplify]: Simplify (* 0 1) into 0 9.521 * [backup-simplify]: Simplify 0 into 0 9.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.522 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.523 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 9.523 * [backup-simplify]: Simplify 1 into 1 9.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.524 * [backup-simplify]: Simplify (+ 0 0) into 0 9.527 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 9.527 * [backup-simplify]: Simplify 1.0 into 1.0 9.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.528 * [backup-simplify]: Simplify (+ 0 0) into 0 9.529 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 9.530 * [backup-simplify]: Simplify 0 into 0 9.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.531 * [backup-simplify]: Simplify (+ 0 0) into 0 9.532 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 9.533 * [backup-simplify]: Simplify 0 into 0 9.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.534 * [backup-simplify]: Simplify (+ 0 0) into 0 9.536 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))) into 0 9.536 * [backup-simplify]: Simplify 0 into 0 9.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.537 * [backup-simplify]: Simplify (+ 0 0) into 0 9.539 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))) into 0 9.539 * [backup-simplify]: Simplify 0 into 0 9.540 * [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 9.540 * [backup-simplify]: Simplify (+ 0 0) into 0 9.542 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))))) into 0 9.542 * [backup-simplify]: Simplify 0 into 0 9.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.544 * [backup-simplify]: Simplify (+ 0 0) into 0 9.546 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))))) into 0 9.546 * [backup-simplify]: Simplify 0 into 0 9.546 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) 1) into (+ (* 1.0 (/ 1 N)) 1) 9.546 * [backup-simplify]: Simplify (/ (+ 1.0 (/ 1 (- N))) (/ 1 (- N))) into (* -1 (* N (- 1.0 (/ 1 N)))) 9.546 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 9.546 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 9.546 * [taylor]: Taking taylor expansion of -1 in N 9.546 * [backup-simplify]: Simplify -1 into -1 9.546 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 9.546 * [taylor]: Taking taylor expansion of N in N 9.546 * [backup-simplify]: Simplify 0 into 0 9.546 * [backup-simplify]: Simplify 1 into 1 9.546 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 9.546 * [taylor]: Taking taylor expansion of 1.0 in N 9.546 * [backup-simplify]: Simplify 1.0 into 1.0 9.546 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.546 * [taylor]: Taking taylor expansion of N in N 9.546 * [backup-simplify]: Simplify 0 into 0 9.546 * [backup-simplify]: Simplify 1 into 1 9.547 * [backup-simplify]: Simplify (/ 1 1) into 1 9.547 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 9.547 * [taylor]: Taking taylor expansion of -1 in N 9.547 * [backup-simplify]: Simplify -1 into -1 9.547 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 9.547 * [taylor]: Taking taylor expansion of N in N 9.547 * [backup-simplify]: Simplify 0 into 0 9.547 * [backup-simplify]: Simplify 1 into 1 9.547 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 9.547 * [taylor]: Taking taylor expansion of 1.0 in N 9.547 * [backup-simplify]: Simplify 1.0 into 1.0 9.547 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.547 * [taylor]: Taking taylor expansion of N in N 9.547 * [backup-simplify]: Simplify 0 into 0 9.547 * [backup-simplify]: Simplify 1 into 1 9.548 * [backup-simplify]: Simplify (/ 1 1) into 1 9.548 * [backup-simplify]: Simplify (- 1) into -1 9.548 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.549 * [backup-simplify]: Simplify (* 0 -1) into 0 9.549 * [backup-simplify]: Simplify (* -1 0) into 0 9.549 * [backup-simplify]: Simplify 0 into 0 9.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.550 * [backup-simplify]: Simplify (- 0) into 0 9.551 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.551 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 9.552 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 9.552 * [backup-simplify]: Simplify 1 into 1 9.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.552 * [backup-simplify]: Simplify (- 0) into 0 9.553 * [backup-simplify]: Simplify (+ 0 0) into 0 9.554 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 9.555 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 9.556 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 9.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.556 * [backup-simplify]: Simplify (- 0) into 0 9.557 * [backup-simplify]: Simplify (+ 0 0) into 0 9.557 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 9.558 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 9.558 * [backup-simplify]: Simplify 0 into 0 9.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.563 * [backup-simplify]: Simplify (- 0) into 0 9.564 * [backup-simplify]: Simplify (+ 0 0) into 0 9.565 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 9.565 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 9.565 * [backup-simplify]: Simplify 0 into 0 9.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.566 * [backup-simplify]: Simplify (- 0) into 0 9.566 * [backup-simplify]: Simplify (+ 0 0) into 0 9.567 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 9.568 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))) into 0 9.568 * [backup-simplify]: Simplify 0 into 0 9.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.569 * [backup-simplify]: Simplify (- 0) into 0 9.569 * [backup-simplify]: Simplify (+ 0 0) into 0 9.570 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 9.571 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))) into 0 9.571 * [backup-simplify]: Simplify 0 into 0 9.572 * [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 9.572 * [backup-simplify]: Simplify (- 0) into 0 9.572 * [backup-simplify]: Simplify (+ 0 0) into 0 9.574 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 9.575 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))))) into 0 9.575 * [backup-simplify]: Simplify 0 into 0 9.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.576 * [backup-simplify]: Simplify (- 0) into 0 9.576 * [backup-simplify]: Simplify (+ 0 0) into 0 9.578 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))))) into 0 9.579 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))))) into 0 9.579 * [backup-simplify]: Simplify 0 into 0 9.579 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (- N))) 1) into (+ (* 1.0 (/ 1 N)) 1) 9.579 * * * [progress]: simplifying candidates 9.580 * [simplify]: Simplifying: (log (* (cbrt (/ (+ 1.0 N) N)) (cbrt (/ (+ 1.0 N) N)))) (log (cbrt (/ (+ 1.0 N) N))) (log (sqrt (/ (+ 1.0 N) N))) (log (sqrt (/ (+ 1.0 N) N))) (log (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ 1.0 N)) (cbrt N))) (log (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (sqrt N))) (log (/ (cbrt (+ 1.0 N)) (sqrt N))) (log (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) 1)) (log (/ (cbrt (+ 1.0 N)) N)) (log (/ (sqrt (+ 1.0 N)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ 1.0 N)) (cbrt N))) (log (/ (sqrt (+ 1.0 N)) (sqrt N))) (log (/ (sqrt (+ 1.0 N)) (sqrt N))) (log (/ (sqrt (+ 1.0 N)) 1)) (log (/ (sqrt (+ 1.0 N)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ 1.0 N) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))) (log (/ 1 1)) (log (/ (+ 1.0 N) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ 1.0 N) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))) (log (/ 1 1)) (log (/ (+ 1.0 N) N)) (log 1) (log (/ (+ 1.0 N) N)) (log (+ 1.0 N)) (log (/ 1 N)) (log (+ 1.0 N)) (log N) (log (/ (+ 1.0 N) N)) (log (log (/ (+ 1.0 N) N))) (exp (log (/ (+ 1.0 N) N))) (* (cbrt (log (/ (+ 1.0 N) N))) (cbrt (log (/ (+ 1.0 N) N)))) (cbrt (log (/ (+ 1.0 N) N))) (* (* (log (/ (+ 1.0 N) N)) (log (/ (+ 1.0 N) N))) (log (/ (+ 1.0 N) N))) (sqrt (log (/ (+ 1.0 N) N))) (sqrt (log (/ (+ 1.0 N) N))) (- (log (+ 1.0 N)) (log N)) (log (/ (+ 1.0 N) N)) (exp (/ (+ 1.0 N) N)) (/ (* (* (+ 1.0 N) (+ 1.0 N)) (+ 1.0 N)) (* (* N N) N)) (* (cbrt (/ (+ 1.0 N) N)) (cbrt (/ (+ 1.0 N) N))) (cbrt (/ (+ 1.0 N) N)) (* (* (/ (+ 1.0 N) N) (/ (+ 1.0 N) N)) (/ (+ 1.0 N) N)) (sqrt (/ (+ 1.0 N) N)) (sqrt (/ (+ 1.0 N) N)) (- (+ 1.0 N)) (- N) (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ 1.0 N)) (cbrt N)) (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (sqrt N)) (/ (cbrt (+ 1.0 N)) (sqrt N)) (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) 1) (/ (cbrt (+ 1.0 N)) N) (/ (sqrt (+ 1.0 N)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1.0 N)) (cbrt N)) (/ (sqrt (+ 1.0 N)) (sqrt N)) (/ (sqrt (+ 1.0 N)) (sqrt N)) (/ (sqrt (+ 1.0 N)) 1) (/ (sqrt (+ 1.0 N)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ 1.0 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1.0 N) (sqrt N)) (/ 1 1) (/ (+ 1.0 N) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ 1.0 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1.0 N) (sqrt N)) (/ 1 1) (/ (+ 1.0 N) N) (/ 1 N) (/ N (+ 1.0 N)) (/ (+ 1.0 N) (* (cbrt N) (cbrt N))) (/ (+ 1.0 N) (sqrt N)) (/ (+ 1.0 N) 1) (/ N (cbrt (+ 1.0 N))) (/ N (sqrt (+ 1.0 N))) (/ N (+ 1.0 N)) (/ N (+ 1.0 N)) (* N (+ (* 1.0 1.0) (- (* N N) (* 1.0 N)))) (* N (- 1.0 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)))) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 9.581 * * [simplify]: iteration 0: 107 enodes 9.616 * * [simplify]: iteration 1: 243 enodes 9.712 * * [simplify]: iteration 2: 1011 enodes 10.054 * * [simplify]: iteration complete: 5001 enodes 10.054 * * [simplify]: Extracting #0: cost 63 inf + 0 10.056 * * [simplify]: Extracting #1: cost 577 inf + 2 10.062 * * [simplify]: Extracting #2: cost 1616 inf + 83 10.074 * * [simplify]: Extracting #3: cost 2373 inf + 1474 10.088 * * [simplify]: Extracting #4: cost 733 inf + 12231 10.105 * * [simplify]: Extracting #5: cost 57 inf + 18145 10.113 * * [simplify]: Extracting #6: cost 0 inf + 18634 10.121 * * [simplify]: Extracting #7: cost 0 inf + 18631 10.128 * [simplify]: Simplified to: (* 2 (log (cbrt (/ (+ 1.0 N) N)))) (log (cbrt (/ (+ 1.0 N) N))) (log (sqrt (/ (+ 1.0 N) N))) (log (sqrt (/ (+ 1.0 N) N))) (* 2 (log (/ (cbrt (+ 1.0 N)) (cbrt N)))) (log (/ (cbrt (+ 1.0 N)) (cbrt N))) (- (* 2 (log (cbrt (+ 1.0 N)))) (log (sqrt N))) (log (/ (cbrt (+ 1.0 N)) (sqrt N))) (* 2 (log (cbrt (+ 1.0 N)))) (log (/ (cbrt (+ 1.0 N)) N)) (log (/ (sqrt (+ 1.0 N)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ 1.0 N)) (cbrt N))) (log (/ (sqrt (+ 1.0 N)) (sqrt N))) (log (/ (sqrt (+ 1.0 N)) (sqrt N))) (log (sqrt (+ 1.0 N))) (log (/ (sqrt (+ 1.0 N)) N)) (- (* 2 (log (cbrt N)))) (log (/ (+ 1.0 N) (cbrt N))) (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))) 0 (log (/ (+ 1.0 N) N)) (- (* 2 (log (cbrt N)))) (log (/ (+ 1.0 N) (cbrt N))) (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))) 0 (log (/ (+ 1.0 N) N)) 0 (log (/ (+ 1.0 N) N)) (log (+ 1.0 N)) (- (log N)) (log (+ 1.0 N)) (log N) (log (/ (+ 1.0 N) N)) (log (log (/ (+ 1.0 N) N))) (/ (+ 1.0 N) N) (* (cbrt (log (/ (+ 1.0 N) N))) (cbrt (log (/ (+ 1.0 N) N)))) (cbrt (log (/ (+ 1.0 N) N))) (pow (log (/ (+ 1.0 N) N)) 3) (sqrt (log (/ (+ 1.0 N) N))) (sqrt (log (/ (+ 1.0 N) N))) (log (/ (+ 1.0 N) N)) (log (/ (+ 1.0 N) N)) (exp (/ (+ 1.0 N) N)) (pow (/ (+ 1.0 N) N) 3) (* (cbrt (/ (+ 1.0 N) N)) (cbrt (/ (+ 1.0 N) N))) (cbrt (/ (+ 1.0 N) N)) (pow (/ (+ 1.0 N) N) 3) (sqrt (/ (+ 1.0 N) N)) (sqrt (/ (+ 1.0 N) N)) (- (+ 1.0 N)) (- N) (* (/ (cbrt (+ 1.0 N)) (* (cbrt N) (cbrt N))) (cbrt (+ 1.0 N))) (/ (cbrt (+ 1.0 N)) (cbrt N)) (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (sqrt N)) (/ (cbrt (+ 1.0 N)) (sqrt N)) (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (/ (cbrt (+ 1.0 N)) N) (/ (sqrt (+ 1.0 N)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1.0 N)) (cbrt N)) (/ (sqrt (+ 1.0 N)) (sqrt N)) (/ (sqrt (+ 1.0 N)) (sqrt N)) (sqrt (+ 1.0 N)) (/ (sqrt (+ 1.0 N)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ 1.0 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1.0 N) (sqrt N)) 1 (/ (+ 1.0 N) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ 1.0 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1.0 N) (sqrt N)) 1 (/ (+ 1.0 N) N) (/ 1 N) (/ N (+ 1.0 N)) (/ (+ 1.0 N) (* (cbrt N) (cbrt N))) (/ (+ 1.0 N) (sqrt N)) (+ 1.0 N) (/ N (cbrt (+ 1.0 N))) (/ N (sqrt (+ 1.0 N))) (/ N (+ 1.0 N)) (/ N (+ 1.0 N)) (* N (+ (pow 1.0 2) (* (- N 1.0) N))) (* N (- 1.0 N)) (+ (- (- (* 1.0 N) (log N)) (* (/ (* N N) 1.0) (/ 1/2 1.0))) (log 1.0)) (+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))) (+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))) (+ (/ 1.0 N) 1) (+ (/ 1.0 N) 1) (+ (/ 1.0 N) 1) 10.129 * * * [progress]: adding candidates to table 10.359 * [progress]: [Phase 3 of 3] Extracting. 10.359 * * [regime]: Finding splitpoints for: (# # # # #) 10.360 * * * [regime-changes]: Trying 1 branch expressions: (N) 10.360 * * * * [regimes]: Trying to branch on N from (# # # # #) 10.397 * * * [regime]: Found split indices: #