22.587 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.063 * * * [progress]: [2/2] Setting up program. 0.069 * [progress]: [Phase 2 of 3] Improving. 0.070 * [simplify]: Simplifying: (- (log (+ N 1.0)) (log N)) 0.070 * * [simplify]: iteration 0: 6 enodes 0.071 * * [simplify]: iteration 1: 9 enodes 0.074 * * [simplify]: iteration 2: 10 enodes 0.076 * * [simplify]: iteration complete: 10 enodes 0.076 * * [simplify]: Extracting #0: cost 1 inf + 0 0.077 * * [simplify]: Extracting #1: cost 4 inf + 0 0.077 * * [simplify]: Extracting #2: cost 6 inf + 0 0.077 * * [simplify]: Extracting #3: cost 6 inf + 1 0.077 * * [simplify]: Extracting #4: cost 0 inf + 560 0.077 * [simplify]: Simplified to: (- (log (+ 1.0 N)) (log N)) 0.078 * * [progress]: iteration 1 / 4 0.078 * * * [progress]: picking best candidate 0.084 * * * * [pick]: Picked # 0.084 * * * [progress]: localizing error 0.104 * * * [progress]: generating rewritten candidates 0.104 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.112 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.131 * * * [progress]: generating series expansions 0.131 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.131 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 0.132 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.132 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.132 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.132 * [taylor]: Taking taylor expansion of N in N 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 1 into 1 0.132 * [taylor]: Taking taylor expansion of 1.0 in N 0.132 * [backup-simplify]: Simplify 1.0 into 1.0 0.132 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.132 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.132 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.133 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.133 * [taylor]: Taking taylor expansion of N in N 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify 1 into 1 0.133 * [taylor]: Taking taylor expansion of 1.0 in N 0.133 * [backup-simplify]: Simplify 1.0 into 1.0 0.133 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.133 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.134 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.134 * [backup-simplify]: Simplify (+ 1 0) into 1 0.137 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.137 * [backup-simplify]: Simplify 1.0 into 1.0 0.138 * [backup-simplify]: Simplify (+ 0 0) into 0 0.143 * [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)) 0.144 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.145 * [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)))) 0.145 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 0.145 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.145 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.145 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.145 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.145 * [taylor]: Taking taylor expansion of N in N 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify 1 into 1 0.145 * [backup-simplify]: Simplify (/ 1 1) into 1 0.145 * [taylor]: Taking taylor expansion of 1.0 in N 0.145 * [backup-simplify]: Simplify 1.0 into 1.0 0.146 * [backup-simplify]: Simplify (+ 1 0) into 1 0.146 * [backup-simplify]: Simplify (log 1) into 0 0.146 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.146 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.146 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.146 * [taylor]: Taking taylor expansion of N in N 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 1 into 1 0.146 * [backup-simplify]: Simplify (/ 1 1) into 1 0.146 * [taylor]: Taking taylor expansion of 1.0 in N 0.146 * [backup-simplify]: Simplify 1.0 into 1.0 0.147 * [backup-simplify]: Simplify (+ 1 0) into 1 0.147 * [backup-simplify]: Simplify (log 1) into 0 0.147 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.147 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.148 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.151 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.152 * [backup-simplify]: Simplify 1.0 into 1.0 0.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.152 * [backup-simplify]: Simplify (+ 0 0) into 0 0.174 * [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 0.174 * [backup-simplify]: Simplify -0.5 into -0.5 0.175 * [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)))) 0.175 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 0.175 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.175 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.175 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.175 * [taylor]: Taking taylor expansion of 1.0 in N 0.175 * [backup-simplify]: Simplify 1.0 into 1.0 0.175 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.175 * [taylor]: Taking taylor expansion of N in N 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify 1 into 1 0.177 * [backup-simplify]: Simplify (/ 1 1) into 1 0.177 * [backup-simplify]: Simplify (- 1) into -1 0.177 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.178 * [backup-simplify]: Simplify (log -1) into (log -1) 0.178 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.178 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.178 * [taylor]: Taking taylor expansion of 1.0 in N 0.178 * [backup-simplify]: Simplify 1.0 into 1.0 0.178 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.178 * [taylor]: Taking taylor expansion of N in N 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify 1 into 1 0.178 * [backup-simplify]: Simplify (/ 1 1) into 1 0.179 * [backup-simplify]: Simplify (- 1) into -1 0.179 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.180 * [backup-simplify]: Simplify (log -1) into (log -1) 0.181 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.181 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.182 * [backup-simplify]: Simplify (- 0) into 0 0.183 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.190 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.190 * [backup-simplify]: Simplify -1.0 into -1.0 0.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.191 * [backup-simplify]: Simplify (- 0) into 0 0.192 * [backup-simplify]: Simplify (+ 0 0) into 0 0.204 * [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 0.204 * [backup-simplify]: Simplify -0.5 into -0.5 0.205 * [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)))) 0.205 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.206 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N)) 0.206 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.206 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.206 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.206 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.206 * [taylor]: Taking taylor expansion of N in N 0.206 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify 1 into 1 0.206 * [taylor]: Taking taylor expansion of 1.0 in N 0.206 * [backup-simplify]: Simplify 1.0 into 1.0 0.206 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.207 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.207 * [taylor]: Taking taylor expansion of (log N) in N 0.207 * [taylor]: Taking taylor expansion of N in N 0.207 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify 1 into 1 0.207 * [backup-simplify]: Simplify (log 1) into 0 0.207 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.208 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.208 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.208 * [taylor]: Taking taylor expansion of N in N 0.208 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify 1 into 1 0.208 * [taylor]: Taking taylor expansion of 1.0 in N 0.208 * [backup-simplify]: Simplify 1.0 into 1.0 0.208 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.209 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.209 * [taylor]: Taking taylor expansion of (log N) in N 0.209 * [taylor]: Taking taylor expansion of N in N 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify 1 into 1 0.209 * [backup-simplify]: Simplify (log 1) into 0 0.210 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.210 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.210 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 0.211 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.211 * [backup-simplify]: Simplify (+ 1 0) into 1 0.217 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.219 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.220 * [backup-simplify]: Simplify (- 0) into 0 0.220 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.220 * [backup-simplify]: Simplify 1.0 into 1.0 0.221 * [backup-simplify]: Simplify (+ 0 0) into 0 0.230 * [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)) 0.233 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.233 * [backup-simplify]: Simplify (- 0) into 0 0.235 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.238 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.241 * [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))) 0.241 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 0.241 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.241 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.241 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.241 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.241 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.241 * [taylor]: Taking taylor expansion of N in N 0.241 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify 1 into 1 0.242 * [backup-simplify]: Simplify (/ 1 1) into 1 0.242 * [taylor]: Taking taylor expansion of 1.0 in N 0.242 * [backup-simplify]: Simplify 1.0 into 1.0 0.242 * [backup-simplify]: Simplify (+ 1 0) into 1 0.242 * [backup-simplify]: Simplify (log 1) into 0 0.243 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.243 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.243 * [taylor]: Taking taylor expansion of N in N 0.243 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify 1 into 1 0.243 * [backup-simplify]: Simplify (/ 1 1) into 1 0.243 * [backup-simplify]: Simplify (log 1) into 0 0.243 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.243 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.243 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.243 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.243 * [taylor]: Taking taylor expansion of N in N 0.243 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify 1 into 1 0.244 * [backup-simplify]: Simplify (/ 1 1) into 1 0.244 * [taylor]: Taking taylor expansion of 1.0 in N 0.244 * [backup-simplify]: Simplify 1.0 into 1.0 0.244 * [backup-simplify]: Simplify (+ 1 0) into 1 0.245 * [backup-simplify]: Simplify (log 1) into 0 0.245 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.245 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.245 * [taylor]: Taking taylor expansion of N in N 0.245 * [backup-simplify]: Simplify 0 into 0 0.245 * [backup-simplify]: Simplify 1 into 1 0.245 * [backup-simplify]: Simplify (/ 1 1) into 1 0.245 * [backup-simplify]: Simplify (log 1) into 0 0.246 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.246 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.247 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.247 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.248 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.253 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.255 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.256 * [backup-simplify]: Simplify (- 0) into 0 0.256 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.256 * [backup-simplify]: Simplify 1.0 into 1.0 0.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.257 * [backup-simplify]: Simplify (+ 0 0) into 0 0.269 * [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 0.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.271 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.271 * [backup-simplify]: Simplify (- 0) into 0 0.271 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.272 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.273 * [backup-simplify]: Simplify (+ 0 0) into 0 0.282 * [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 0.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.285 * [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 0.286 * [backup-simplify]: Simplify (- 0) into 0 0.286 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.286 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.287 * [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)))) 0.287 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 0.287 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.287 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.287 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.287 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.287 * [taylor]: Taking taylor expansion of 1.0 in N 0.287 * [backup-simplify]: Simplify 1.0 into 1.0 0.287 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.287 * [taylor]: Taking taylor expansion of N in N 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify 1 into 1 0.287 * [backup-simplify]: Simplify (/ 1 1) into 1 0.288 * [backup-simplify]: Simplify (- 1) into -1 0.288 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.288 * [backup-simplify]: Simplify (log -1) into (log -1) 0.288 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.288 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.288 * [taylor]: Taking taylor expansion of -1 in N 0.288 * [backup-simplify]: Simplify -1 into -1 0.288 * [taylor]: Taking taylor expansion of N in N 0.288 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify 1 into 1 0.288 * [backup-simplify]: Simplify (/ -1 1) into -1 0.289 * [backup-simplify]: Simplify (log -1) into (log -1) 0.289 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.289 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.289 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.289 * [taylor]: Taking taylor expansion of 1.0 in N 0.289 * [backup-simplify]: Simplify 1.0 into 1.0 0.289 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.289 * [taylor]: Taking taylor expansion of N in N 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify 1 into 1 0.289 * [backup-simplify]: Simplify (/ 1 1) into 1 0.289 * [backup-simplify]: Simplify (- 1) into -1 0.290 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.290 * [backup-simplify]: Simplify (log -1) into (log -1) 0.290 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.290 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.290 * [taylor]: Taking taylor expansion of -1 in N 0.290 * [backup-simplify]: Simplify -1 into -1 0.290 * [taylor]: Taking taylor expansion of N in N 0.290 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify 1 into 1 0.290 * [backup-simplify]: Simplify (/ -1 1) into -1 0.290 * [backup-simplify]: Simplify (log -1) into (log -1) 0.291 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.291 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.292 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.292 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.292 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.293 * [backup-simplify]: Simplify (- 0) into 0 0.293 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.308 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.309 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.311 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.311 * [backup-simplify]: Simplify (- 0) into 0 0.312 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 0.312 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.313 * [backup-simplify]: Simplify (- 0) into 0 0.313 * [backup-simplify]: Simplify (+ 0 0) into 0 0.319 * [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 0.320 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.321 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.321 * [backup-simplify]: Simplify (- 0) into 0 0.322 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.322 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.323 * [backup-simplify]: Simplify (- 0) into 0 0.323 * [backup-simplify]: Simplify (+ 0 0) into 0 0.333 * [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 0.333 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.336 * [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 0.337 * [backup-simplify]: Simplify (- 0) into 0 0.337 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 0.337 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.338 * [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)))) 0.338 * * * [progress]: simplifying candidates 0.339 * [simplify]: Simplifying: (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (exp (- (log (+ N 1.0)) (log N))) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (* (* (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N))) (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (+ (* (log N) (log N)) (* (log (+ N 1.0)) (log N)))) (- (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log (* (cbrt N) (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (- (log (+ N 1.0)) (log 1)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log N)) (+ (log (- N 1.0)) (log N)) (- (log N)) (- (+ (log 1.0) (* 1.0 N)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ (log 1.0) (* 1.0 N)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.340 * * [simplify]: iteration 0: 101 enodes 0.379 * * [simplify]: iteration 1: 213 enodes 0.449 * * [simplify]: iteration 2: 538 enodes 0.656 * * [simplify]: iteration 3: 1603 enodes 1.668 * * [simplify]: iteration 4: 4941 enodes 2.899 * * [simplify]: iteration complete: 5003 enodes 2.899 * * [simplify]: Extracting #0: cost 39 inf + 0 2.900 * * [simplify]: Extracting #1: cost 324 inf + 1 2.902 * * [simplify]: Extracting #2: cost 1071 inf + 3241 2.911 * * [simplify]: Extracting #3: cost 998 inf + 49885 2.938 * * [simplify]: Extracting #4: cost 268 inf + 153066 3.021 * * [simplify]: Extracting #5: cost 25 inf + 215114 3.063 * * [simplify]: Extracting #6: cost 0 inf + 223302 3.128 * * [simplify]: Extracting #7: cost 0 inf + 223262 3.209 * [simplify]: Simplified to: (log (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (log (cbrt (+ 1.0 N))) (log (sqrt (+ 1.0 N))) (log (sqrt (+ 1.0 N))) 0 (log (+ 1.0 N)) 0 (log (+ 1.0 N)) (log (+ (* N (* N N)) (* (* 1.0 1.0) 1.0))) (log (+ (* N N) (* 1.0 (- 1.0 N)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ 1.0 N)) (log (log (+ 1.0 N))) (+ 1.0 N) (* (cbrt (log (+ 1.0 N))) (cbrt (log (+ 1.0 N)))) (cbrt (log (+ 1.0 N))) (* (* (log (+ 1.0 N)) (log (+ 1.0 N))) (log (+ 1.0 N))) (sqrt (log (+ 1.0 N))) (sqrt (log (+ 1.0 N))) (/ (+ 1.0 N) N) (log (- (log (+ 1.0 N)) (log N))) (/ (+ 1.0 N) N) (* (cbrt (- (log (+ 1.0 N)) (log N))) (cbrt (- (log (+ 1.0 N)) (log N)))) (cbrt (- (log (+ 1.0 N)) (log N))) (* (* (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N))) (- (log (+ 1.0 N)) (log N))) (sqrt (- (log (+ 1.0 N)) (log N))) (sqrt (- (log (+ 1.0 N)) (log N))) (- (* (* (log (+ 1.0 N)) (log (+ 1.0 N))) (log (+ 1.0 N))) (* (log N) (* (log N) (log N)))) (+ (* (log N) (log 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 N)) (+ (sqrt (log N)) (sqrt (log (+ 1.0 N)))) (- (sqrt (log (+ 1.0 N))) (sqrt (log N))) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N)) (- (- (log (+ 1.0 N)) (log (cbrt N))) (log (cbrt N))) (- (log (+ 1.0 N)) (log (sqrt N))) (log (+ 1.0 N)) (- (log (cbrt (+ 1.0 N))) (log N)) (- (log (sqrt (+ 1.0 N))) (log N)) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N)) (+ (log N) (log (+ (* N N) (* 1.0 (- 1.0 N))))) (+ (log (- N 1.0)) (log N)) (- (log N)) (- (log 1.0) (- (* (* (/ N 1.0) (/ N 1.0)) 1/2) (* N 1.0))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (log N))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (log N))) (- (+ (log 1.0) (- (* N 1.0) (log N))) (* (* (/ N 1.0) (/ N 1.0)) 1/2)) (+ (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (/ 1.0 N)) (+ (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (/ 1.0 N)) 3.211 * * * [progress]: adding candidates to table 3.418 * * [progress]: iteration 2 / 4 3.418 * * * [progress]: picking best candidate 3.429 * * * * [pick]: Picked # 3.429 * * * [progress]: localizing error 3.466 * * * [progress]: generating rewritten candidates 3.466 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 3.519 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 3.531 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 3.542 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 3.763 * * * [progress]: generating series expansions 3.764 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 3.764 * [backup-simplify]: Simplify (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) into (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) 3.764 * [approximate]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) in (N) around 0 3.764 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) in N 3.764 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 3.764 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.764 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.764 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 3.764 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.764 * [taylor]: Taking taylor expansion of N in N 3.764 * [backup-simplify]: Simplify 0 into 0 3.764 * [backup-simplify]: Simplify 1 into 1 3.765 * [backup-simplify]: Simplify (* 1 1) into 1 3.766 * [backup-simplify]: Simplify (* 1 1) into 1 3.766 * [backup-simplify]: Simplify (/ 1 1) into 1 3.766 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 3.766 * [taylor]: Taking taylor expansion of 0.5 in N 3.766 * [backup-simplify]: Simplify 0.5 into 0.5 3.766 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.766 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.766 * [taylor]: Taking taylor expansion of N in N 3.766 * [backup-simplify]: Simplify 0 into 0 3.766 * [backup-simplify]: Simplify 1 into 1 3.767 * [backup-simplify]: Simplify (* 1 1) into 1 3.767 * [backup-simplify]: Simplify (/ 1 1) into 1 3.767 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) in N 3.767 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 3.767 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.767 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.767 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 3.767 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.767 * [taylor]: Taking taylor expansion of N in N 3.767 * [backup-simplify]: Simplify 0 into 0 3.767 * [backup-simplify]: Simplify 1 into 1 3.768 * [backup-simplify]: Simplify (* 1 1) into 1 3.768 * [backup-simplify]: Simplify (* 1 1) into 1 3.768 * [backup-simplify]: Simplify (/ 1 1) into 1 3.768 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 3.768 * [taylor]: Taking taylor expansion of 0.5 in N 3.768 * [backup-simplify]: Simplify 0.5 into 0.5 3.768 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.768 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.768 * [taylor]: Taking taylor expansion of N in N 3.768 * [backup-simplify]: Simplify 0 into 0 3.768 * [backup-simplify]: Simplify 1 into 1 3.769 * [backup-simplify]: Simplify (* 1 1) into 1 3.769 * [backup-simplify]: Simplify (/ 1 1) into 1 3.770 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 3.770 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 3.770 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.771 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.771 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.773 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 3.773 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.773 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.774 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 3.775 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.775 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.776 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.778 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 3.778 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.780 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 3.780 * [backup-simplify]: Simplify (- 0) into 0 3.780 * [backup-simplify]: Simplify (+ 0 0) into 0 3.780 * [backup-simplify]: Simplify 0 into 0 3.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.782 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.784 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.785 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.786 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 3.787 * [backup-simplify]: Simplify (- 0) into 0 3.787 * [backup-simplify]: Simplify (+ 0 0) into 0 3.787 * [backup-simplify]: Simplify 0 into 0 3.788 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.790 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.791 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.792 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.794 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.795 * [backup-simplify]: Simplify (- 0) into 0 3.795 * [backup-simplify]: Simplify (+ 0 0) into 0 3.795 * [backup-simplify]: Simplify 0 into 0 3.796 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.803 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.804 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.807 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.807 * [backup-simplify]: Simplify (- 0) into 0 3.807 * [backup-simplify]: Simplify (+ 0 0) into 0 3.807 * [backup-simplify]: Simplify 0 into 0 3.809 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.810 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.812 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.814 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.816 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.816 * [backup-simplify]: Simplify (- 0) into 0 3.817 * [backup-simplify]: Simplify (+ 0 0) into 0 3.817 * [backup-simplify]: Simplify 0 into 0 3.818 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 3.820 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 3.821 * [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 3.822 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 3.823 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.826 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.826 * [backup-simplify]: Simplify (- 0) into 0 3.826 * [backup-simplify]: Simplify (+ 0 0) into 0 3.827 * [backup-simplify]: Simplify 0 into 0 3.827 * [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)))) 3.828 * [backup-simplify]: Simplify (- (/ (/ 0.3333333333333333 (/ 1 N)) (* (/ 1 N) (/ 1 N))) (/ 0.5 (* (/ 1 N) (/ 1 N)))) into (- (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) 3.828 * [approximate]: Taking taylor expansion of (- (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in (N) around 0 3.828 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in N 3.828 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.828 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.828 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.828 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.828 * [taylor]: Taking taylor expansion of N in N 3.828 * [backup-simplify]: Simplify 0 into 0 3.828 * [backup-simplify]: Simplify 1 into 1 3.828 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.828 * [taylor]: Taking taylor expansion of 0.5 in N 3.828 * [backup-simplify]: Simplify 0.5 into 0.5 3.828 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.828 * [taylor]: Taking taylor expansion of N in N 3.828 * [backup-simplify]: Simplify 0 into 0 3.828 * [backup-simplify]: Simplify 1 into 1 3.828 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in N 3.828 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.828 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.828 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.828 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.828 * [taylor]: Taking taylor expansion of N in N 3.828 * [backup-simplify]: Simplify 0 into 0 3.828 * [backup-simplify]: Simplify 1 into 1 3.828 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.828 * [taylor]: Taking taylor expansion of 0.5 in N 3.828 * [backup-simplify]: Simplify 0.5 into 0.5 3.828 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.828 * [taylor]: Taking taylor expansion of N in N 3.828 * [backup-simplify]: Simplify 0 into 0 3.828 * [backup-simplify]: Simplify 1 into 1 3.829 * [backup-simplify]: Simplify (* 1 1) into 1 3.829 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.830 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.830 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 3.831 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.831 * [backup-simplify]: Simplify (* 1 1) into 1 3.831 * [backup-simplify]: Simplify (* 1 1) into 1 3.832 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 3.832 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.833 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 3.833 * [backup-simplify]: Simplify (- 0) into 0 3.834 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 3.834 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.834 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.835 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.836 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 3.837 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.837 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 3.838 * [backup-simplify]: Simplify (- 0) into 0 3.838 * [backup-simplify]: Simplify (+ 0 0) into 0 3.838 * [backup-simplify]: Simplify 0 into 0 3.839 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.840 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.841 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 3.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.843 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.843 * [backup-simplify]: Simplify (- 0) into 0 3.844 * [backup-simplify]: Simplify (+ 0 0) into 0 3.844 * [backup-simplify]: Simplify 0 into 0 3.845 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.846 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.848 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.849 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.849 * [backup-simplify]: Simplify (- 0) into 0 3.849 * [backup-simplify]: Simplify (+ 0 0) into 0 3.849 * [backup-simplify]: Simplify 0 into 0 3.850 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.853 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.854 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.855 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.855 * [backup-simplify]: Simplify (- 0) into 0 3.856 * [backup-simplify]: Simplify (+ 0 0) into 0 3.856 * [backup-simplify]: Simplify 0 into 0 3.857 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.858 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.860 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.861 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.863 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.864 * [backup-simplify]: Simplify (- 0) into 0 3.864 * [backup-simplify]: Simplify (+ 0 0) into 0 3.864 * [backup-simplify]: Simplify 0 into 0 3.865 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.867 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.868 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.869 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 3.871 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 3.872 * [backup-simplify]: Simplify (- 0) into 0 3.872 * [backup-simplify]: Simplify (+ 0 0) into 0 3.872 * [backup-simplify]: Simplify 0 into 0 3.873 * [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)))) 3.873 * [backup-simplify]: Simplify (- (/ (/ 0.3333333333333333 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N)))) (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N))))) into (- (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3)))) 3.873 * [approximate]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3)))) in (N) around 0 3.873 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3)))) in N 3.873 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))) in N 3.873 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.873 * [taylor]: Taking taylor expansion of 0.5 in N 3.873 * [backup-simplify]: Simplify 0.5 into 0.5 3.873 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.873 * [taylor]: Taking taylor expansion of N in N 3.873 * [backup-simplify]: Simplify 0 into 0 3.873 * [backup-simplify]: Simplify 1 into 1 3.873 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.873 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.873 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.873 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.873 * [taylor]: Taking taylor expansion of N in N 3.874 * [backup-simplify]: Simplify 0 into 0 3.874 * [backup-simplify]: Simplify 1 into 1 3.874 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3)))) in N 3.874 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))) in N 3.874 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.874 * [taylor]: Taking taylor expansion of 0.5 in N 3.874 * [backup-simplify]: Simplify 0.5 into 0.5 3.874 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.874 * [taylor]: Taking taylor expansion of N in N 3.874 * [backup-simplify]: Simplify 0 into 0 3.874 * [backup-simplify]: Simplify 1 into 1 3.874 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.874 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.874 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.874 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.874 * [taylor]: Taking taylor expansion of N in N 3.874 * [backup-simplify]: Simplify 0 into 0 3.874 * [backup-simplify]: Simplify 1 into 1 3.875 * [backup-simplify]: Simplify (* 1 1) into 1 3.875 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.875 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 3.876 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.876 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.876 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.877 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 3.877 * [backup-simplify]: Simplify (* 1 1) into 1 3.877 * [backup-simplify]: Simplify (* 1 1) into 1 3.877 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 3.878 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 3.878 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 3.878 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 3.879 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.879 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 3.880 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.880 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.881 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 3.881 * [backup-simplify]: Simplify (+ 0 0) into 0 3.881 * [backup-simplify]: Simplify (- 0) into 0 3.881 * [backup-simplify]: Simplify 0 into 0 3.882 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.882 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.883 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.883 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.884 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 3.884 * [backup-simplify]: Simplify (+ 0 0) into 0 3.884 * [backup-simplify]: Simplify (- 0) into 0 3.884 * [backup-simplify]: Simplify 0 into 0 3.885 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.886 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.887 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.888 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.888 * [backup-simplify]: Simplify (+ 0 0) into 0 3.888 * [backup-simplify]: Simplify (- 0) into 0 3.888 * [backup-simplify]: Simplify 0 into 0 3.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.890 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.890 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.891 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.892 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.892 * [backup-simplify]: Simplify (+ 0 0) into 0 3.892 * [backup-simplify]: Simplify (- 0) into 0 3.892 * [backup-simplify]: Simplify 0 into 0 3.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.894 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.895 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.897 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.897 * [backup-simplify]: Simplify (+ 0 0) into 0 3.897 * [backup-simplify]: Simplify (- 0) into 0 3.897 * [backup-simplify]: Simplify 0 into 0 3.898 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 3.900 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 3.901 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.901 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.902 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.903 * [backup-simplify]: Simplify (+ 0 0) into 0 3.903 * [backup-simplify]: Simplify (- 0) into 0 3.903 * [backup-simplify]: Simplify 0 into 0 3.904 * [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)))) 3.904 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 3.904 * [backup-simplify]: Simplify (/ 0.5 (* N N)) into (/ 0.5 (pow N 2)) 3.904 * [approximate]: Taking taylor expansion of (/ 0.5 (pow N 2)) in (N) around 0 3.904 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 3.904 * [taylor]: Taking taylor expansion of 0.5 in N 3.904 * [backup-simplify]: Simplify 0.5 into 0.5 3.904 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.904 * [taylor]: Taking taylor expansion of N in N 3.904 * [backup-simplify]: Simplify 0 into 0 3.904 * [backup-simplify]: Simplify 1 into 1 3.904 * [backup-simplify]: Simplify (* 1 1) into 1 3.905 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 3.905 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 3.905 * [taylor]: Taking taylor expansion of 0.5 in N 3.905 * [backup-simplify]: Simplify 0.5 into 0.5 3.905 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.905 * [taylor]: Taking taylor expansion of N in N 3.905 * [backup-simplify]: Simplify 0 into 0 3.905 * [backup-simplify]: Simplify 1 into 1 3.905 * [backup-simplify]: Simplify (* 1 1) into 1 3.905 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 3.905 * [backup-simplify]: Simplify 0.5 into 0.5 3.906 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.907 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0 3.907 * [backup-simplify]: Simplify 0 into 0 3.907 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.908 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.908 * [backup-simplify]: Simplify 0 into 0 3.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.909 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.909 * [backup-simplify]: Simplify 0 into 0 3.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.910 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.911 * [backup-simplify]: Simplify 0 into 0 3.915 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.916 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.916 * [backup-simplify]: Simplify 0 into 0 3.917 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.918 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.918 * [backup-simplify]: Simplify 0 into 0 3.918 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 N) 2)) into (/ 0.5 (pow N 2)) 3.918 * [backup-simplify]: Simplify (/ 0.5 (* (/ 1 N) (/ 1 N))) into (* 0.5 (pow N 2)) 3.918 * [approximate]: Taking taylor expansion of (* 0.5 (pow N 2)) in (N) around 0 3.918 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.918 * [taylor]: Taking taylor expansion of 0.5 in N 3.918 * [backup-simplify]: Simplify 0.5 into 0.5 3.918 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.918 * [taylor]: Taking taylor expansion of N in N 3.918 * [backup-simplify]: Simplify 0 into 0 3.918 * [backup-simplify]: Simplify 1 into 1 3.918 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.918 * [taylor]: Taking taylor expansion of 0.5 in N 3.918 * [backup-simplify]: Simplify 0.5 into 0.5 3.918 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.918 * [taylor]: Taking taylor expansion of N in N 3.918 * [backup-simplify]: Simplify 0 into 0 3.918 * [backup-simplify]: Simplify 1 into 1 3.919 * [backup-simplify]: Simplify (* 1 1) into 1 3.919 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.919 * [backup-simplify]: Simplify 0.5 into 0.5 3.919 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.920 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 3.920 * [backup-simplify]: Simplify 0 into 0 3.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.921 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 3.921 * [backup-simplify]: Simplify 0 into 0 3.921 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.922 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.922 * [backup-simplify]: Simplify 0 into 0 3.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.924 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.924 * [backup-simplify]: Simplify 0 into 0 3.925 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.926 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.926 * [backup-simplify]: Simplify 0 into 0 3.928 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.929 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.929 * [backup-simplify]: Simplify 0 into 0 3.930 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 N) 2)) into (/ 0.5 (pow N 2)) 3.930 * [backup-simplify]: Simplify (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N)))) into (* 0.5 (pow N 2)) 3.930 * [approximate]: Taking taylor expansion of (* 0.5 (pow N 2)) in (N) around 0 3.930 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.930 * [taylor]: Taking taylor expansion of 0.5 in N 3.930 * [backup-simplify]: Simplify 0.5 into 0.5 3.930 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.930 * [taylor]: Taking taylor expansion of N in N 3.930 * [backup-simplify]: Simplify 0 into 0 3.930 * [backup-simplify]: Simplify 1 into 1 3.930 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.930 * [taylor]: Taking taylor expansion of 0.5 in N 3.930 * [backup-simplify]: Simplify 0.5 into 0.5 3.930 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.930 * [taylor]: Taking taylor expansion of N in N 3.930 * [backup-simplify]: Simplify 0 into 0 3.930 * [backup-simplify]: Simplify 1 into 1 3.931 * [backup-simplify]: Simplify (* 1 1) into 1 3.931 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.931 * [backup-simplify]: Simplify 0.5 into 0.5 3.932 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.932 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 3.932 * [backup-simplify]: Simplify 0 into 0 3.933 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.934 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 3.934 * [backup-simplify]: Simplify 0 into 0 3.935 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.936 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.936 * [backup-simplify]: Simplify 0 into 0 3.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.938 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.938 * [backup-simplify]: Simplify 0 into 0 3.940 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.940 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.940 * [backup-simplify]: Simplify 0 into 0 3.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.942 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.942 * [backup-simplify]: Simplify 0 into 0 3.942 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 (- N)) 2)) into (/ 0.5 (pow N 2)) 3.942 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 3.943 * [backup-simplify]: Simplify (/ (/ 0.3333333333333333 N) (* N N)) into (/ 0.3333333333333333 (pow N 3)) 3.943 * [approximate]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in (N) around 0 3.943 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 3.943 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.943 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.943 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.943 * [taylor]: Taking taylor expansion of N in N 3.943 * [backup-simplify]: Simplify 0 into 0 3.943 * [backup-simplify]: Simplify 1 into 1 3.943 * [backup-simplify]: Simplify (* 1 1) into 1 3.943 * [backup-simplify]: Simplify (* 1 1) into 1 3.944 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 3.944 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 3.944 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.944 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.944 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.944 * [taylor]: Taking taylor expansion of N in N 3.944 * [backup-simplify]: Simplify 0 into 0 3.944 * [backup-simplify]: Simplify 1 into 1 3.944 * [backup-simplify]: Simplify (* 1 1) into 1 3.944 * [backup-simplify]: Simplify (* 1 1) into 1 3.944 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 3.944 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.945 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.945 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.946 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)))) into 0 3.946 * [backup-simplify]: Simplify 0 into 0 3.946 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.947 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.947 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.947 * [backup-simplify]: Simplify 0 into 0 3.948 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.949 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.949 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.949 * [backup-simplify]: Simplify 0 into 0 3.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.951 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.951 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.951 * [backup-simplify]: Simplify 0 into 0 3.952 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.953 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.953 * [backup-simplify]: Simplify 0 into 0 3.954 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.955 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.956 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.956 * [backup-simplify]: Simplify 0 into 0 3.956 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 3.956 * [backup-simplify]: Simplify (/ (/ 0.3333333333333333 (/ 1 N)) (* (/ 1 N) (/ 1 N))) into (* 0.3333333333333333 (pow N 3)) 3.956 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in (N) around 0 3.956 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.956 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.956 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.956 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.956 * [taylor]: Taking taylor expansion of N in N 3.956 * [backup-simplify]: Simplify 0 into 0 3.956 * [backup-simplify]: Simplify 1 into 1 3.956 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.956 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.956 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.956 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.956 * [taylor]: Taking taylor expansion of N in N 3.956 * [backup-simplify]: Simplify 0 into 0 3.956 * [backup-simplify]: Simplify 1 into 1 3.957 * [backup-simplify]: Simplify (* 1 1) into 1 3.957 * [backup-simplify]: Simplify (* 1 1) into 1 3.957 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 3.957 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.958 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.958 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.959 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 3.959 * [backup-simplify]: Simplify 0 into 0 3.959 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.960 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.960 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 3.960 * [backup-simplify]: Simplify 0 into 0 3.961 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.962 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.962 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.962 * [backup-simplify]: Simplify 0 into 0 3.963 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.964 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.964 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.964 * [backup-simplify]: Simplify 0 into 0 3.965 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.966 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.967 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.967 * [backup-simplify]: Simplify 0 into 0 3.968 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.969 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.971 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.971 * [backup-simplify]: Simplify 0 into 0 3.971 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 3.971 * [backup-simplify]: Simplify (/ (/ 0.3333333333333333 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N)))) into (* -0.3333333333333333 (pow N 3)) 3.971 * [approximate]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in (N) around 0 3.971 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 3.972 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 3.972 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 3.972 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.972 * [taylor]: Taking taylor expansion of N in N 3.972 * [backup-simplify]: Simplify 0 into 0 3.972 * [backup-simplify]: Simplify 1 into 1 3.972 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 3.972 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 3.972 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 3.972 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.972 * [taylor]: Taking taylor expansion of N in N 3.972 * [backup-simplify]: Simplify 0 into 0 3.972 * [backup-simplify]: Simplify 1 into 1 3.972 * [backup-simplify]: Simplify (* 1 1) into 1 3.973 * [backup-simplify]: Simplify (* 1 1) into 1 3.973 * [backup-simplify]: Simplify (* -0.3333333333333333 1) into -0.3333333333333333 3.973 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 3.974 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.974 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.975 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (* 0 1)) into 0 3.975 * [backup-simplify]: Simplify 0 into 0 3.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.977 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.978 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 3.978 * [backup-simplify]: Simplify 0 into 0 3.979 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.980 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.981 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.981 * [backup-simplify]: Simplify 0 into 0 3.982 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.983 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.984 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.984 * [backup-simplify]: Simplify 0 into 0 3.985 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.986 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.986 * [backup-simplify]: Simplify 0 into 0 3.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.988 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.989 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.989 * [backup-simplify]: Simplify 0 into 0 3.989 * [backup-simplify]: Simplify (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) into (/ 0.3333333333333333 (pow N 3)) 3.990 * * * * [progress]: [ 4 / 4 ] generating series at (2) 3.990 * [backup-simplify]: Simplify (+ (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (/ 1.0 N)) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 3.990 * [approximate]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in (N) around 0 3.990 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N 3.990 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 3.990 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 3.990 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.990 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.990 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 3.990 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.990 * [taylor]: Taking taylor expansion of N in N 3.990 * [backup-simplify]: Simplify 0 into 0 3.990 * [backup-simplify]: Simplify 1 into 1 3.990 * [backup-simplify]: Simplify (* 1 1) into 1 3.991 * [backup-simplify]: Simplify (* 1 1) into 1 3.991 * [backup-simplify]: Simplify (/ 1 1) into 1 3.991 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 3.991 * [taylor]: Taking taylor expansion of 1.0 in N 3.991 * [backup-simplify]: Simplify 1.0 into 1.0 3.991 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.991 * [taylor]: Taking taylor expansion of N in N 3.991 * [backup-simplify]: Simplify 0 into 0 3.991 * [backup-simplify]: Simplify 1 into 1 3.991 * [backup-simplify]: Simplify (/ 1 1) into 1 3.991 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 3.991 * [taylor]: Taking taylor expansion of 0.5 in N 3.991 * [backup-simplify]: Simplify 0.5 into 0.5 3.991 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.991 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.991 * [taylor]: Taking taylor expansion of N in N 3.991 * [backup-simplify]: Simplify 0 into 0 3.991 * [backup-simplify]: Simplify 1 into 1 3.992 * [backup-simplify]: Simplify (* 1 1) into 1 3.992 * [backup-simplify]: Simplify (/ 1 1) into 1 3.992 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N 3.992 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 3.992 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 3.992 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.992 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.992 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 3.992 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.992 * [taylor]: Taking taylor expansion of N in N 3.992 * [backup-simplify]: Simplify 0 into 0 3.992 * [backup-simplify]: Simplify 1 into 1 3.992 * [backup-simplify]: Simplify (* 1 1) into 1 3.993 * [backup-simplify]: Simplify (* 1 1) into 1 3.993 * [backup-simplify]: Simplify (/ 1 1) into 1 3.993 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 3.993 * [taylor]: Taking taylor expansion of 1.0 in N 3.993 * [backup-simplify]: Simplify 1.0 into 1.0 3.993 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.993 * [taylor]: Taking taylor expansion of N in N 3.993 * [backup-simplify]: Simplify 0 into 0 3.993 * [backup-simplify]: Simplify 1 into 1 3.993 * [backup-simplify]: Simplify (/ 1 1) into 1 3.993 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 3.993 * [taylor]: Taking taylor expansion of 0.5 in N 3.993 * [backup-simplify]: Simplify 0.5 into 0.5 3.993 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.993 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.993 * [taylor]: Taking taylor expansion of N in N 3.993 * [backup-simplify]: Simplify 0 into 0 3.993 * [backup-simplify]: Simplify 1 into 1 3.994 * [backup-simplify]: Simplify (* 1 1) into 1 3.994 * [backup-simplify]: Simplify (/ 1 1) into 1 3.994 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 3.995 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 3.995 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 3.995 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.996 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.996 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.997 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 3.997 * [backup-simplify]: Simplify (+ 0 0) into 0 3.998 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.998 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.998 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 3.999 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.000 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.001 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 4.001 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 4.002 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.002 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.003 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 4.003 * [backup-simplify]: Simplify (- 0) into 0 4.003 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.003 * [backup-simplify]: Simplify 1.0 into 1.0 4.004 * [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)))) 4.004 * [backup-simplify]: Simplify (+ (- (/ (/ 0.3333333333333333 (/ 1 N)) (* (/ 1 N) (/ 1 N))) (/ 0.5 (* (/ 1 N) (/ 1 N)))) (/ 1.0 (/ 1 N))) into (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) 4.004 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in (N) around 0 4.004 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 4.004 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 4.004 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 4.004 * [taylor]: Taking taylor expansion of 1.0 in N 4.004 * [backup-simplify]: Simplify 1.0 into 1.0 4.005 * [taylor]: Taking taylor expansion of N in N 4.005 * [backup-simplify]: Simplify 0 into 0 4.005 * [backup-simplify]: Simplify 1 into 1 4.005 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 4.005 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 4.005 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.005 * [taylor]: Taking taylor expansion of (pow N 3) in N 4.005 * [taylor]: Taking taylor expansion of N in N 4.005 * [backup-simplify]: Simplify 0 into 0 4.005 * [backup-simplify]: Simplify 1 into 1 4.005 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 4.005 * [taylor]: Taking taylor expansion of 0.5 in N 4.005 * [backup-simplify]: Simplify 0.5 into 0.5 4.005 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.005 * [taylor]: Taking taylor expansion of N in N 4.005 * [backup-simplify]: Simplify 0 into 0 4.005 * [backup-simplify]: Simplify 1 into 1 4.005 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 4.005 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 4.005 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 4.005 * [taylor]: Taking taylor expansion of 1.0 in N 4.005 * [backup-simplify]: Simplify 1.0 into 1.0 4.005 * [taylor]: Taking taylor expansion of N in N 4.005 * [backup-simplify]: Simplify 0 into 0 4.005 * [backup-simplify]: Simplify 1 into 1 4.005 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 4.005 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 4.005 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.005 * [taylor]: Taking taylor expansion of (pow N 3) in N 4.005 * [taylor]: Taking taylor expansion of N in N 4.005 * [backup-simplify]: Simplify 0 into 0 4.005 * [backup-simplify]: Simplify 1 into 1 4.005 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 4.005 * [taylor]: Taking taylor expansion of 0.5 in N 4.005 * [backup-simplify]: Simplify 0.5 into 0.5 4.005 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.005 * [taylor]: Taking taylor expansion of N in N 4.005 * [backup-simplify]: Simplify 0 into 0 4.005 * [backup-simplify]: Simplify 1 into 1 4.006 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.006 * [backup-simplify]: Simplify (+ 0 0) into 0 4.006 * [backup-simplify]: Simplify (+ 0 0) into 0 4.006 * [backup-simplify]: Simplify 0 into 0 4.007 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 4.007 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.008 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.008 * [backup-simplify]: Simplify 1.0 into 1.0 4.008 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 4.009 * [backup-simplify]: Simplify (+ 0 0) into 0 4.009 * [backup-simplify]: Simplify (* 1 1) into 1 4.009 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.009 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.010 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 4.010 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.011 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.011 * [backup-simplify]: Simplify (* 1 1) into 1 4.011 * [backup-simplify]: Simplify (* 1 1) into 1 4.012 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 4.012 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 4.012 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.013 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 4.013 * [backup-simplify]: Simplify (- 0) into 0 4.013 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 4.013 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.014 * [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)))) 4.014 * [backup-simplify]: Simplify (+ (- (/ (/ 0.3333333333333333 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N)))) (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N))))) (/ 1.0 (/ 1 (- N)))) into (- (+ (* 1.0 N) (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))))) 4.014 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 N) (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))))) in (N) around 0 4.014 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))))) in N 4.014 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2)))) in N 4.014 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 4.014 * [taylor]: Taking taylor expansion of 1.0 in N 4.014 * [backup-simplify]: Simplify 1.0 into 1.0 4.014 * [taylor]: Taking taylor expansion of N in N 4.014 * [backup-simplify]: Simplify 0 into 0 4.014 * [backup-simplify]: Simplify 1 into 1 4.014 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in N 4.014 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 4.014 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 4.014 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.015 * [taylor]: Taking taylor expansion of (pow N 3) in N 4.015 * [taylor]: Taking taylor expansion of N in N 4.015 * [backup-simplify]: Simplify 0 into 0 4.015 * [backup-simplify]: Simplify 1 into 1 4.015 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 4.015 * [taylor]: Taking taylor expansion of 0.5 in N 4.015 * [backup-simplify]: Simplify 0.5 into 0.5 4.015 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.015 * [taylor]: Taking taylor expansion of N in N 4.015 * [backup-simplify]: Simplify 0 into 0 4.015 * [backup-simplify]: Simplify 1 into 1 4.015 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))))) in N 4.015 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2)))) in N 4.015 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 4.015 * [taylor]: Taking taylor expansion of 1.0 in N 4.015 * [backup-simplify]: Simplify 1.0 into 1.0 4.015 * [taylor]: Taking taylor expansion of N in N 4.015 * [backup-simplify]: Simplify 0 into 0 4.015 * [backup-simplify]: Simplify 1 into 1 4.015 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in N 4.015 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 4.015 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 4.015 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.015 * [taylor]: Taking taylor expansion of (pow N 3) in N 4.015 * [taylor]: Taking taylor expansion of N in N 4.015 * [backup-simplify]: Simplify 0 into 0 4.015 * [backup-simplify]: Simplify 1 into 1 4.015 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 4.015 * [taylor]: Taking taylor expansion of 0.5 in N 4.015 * [backup-simplify]: Simplify 0.5 into 0.5 4.015 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.015 * [taylor]: Taking taylor expansion of N in N 4.015 * [backup-simplify]: Simplify 0 into 0 4.015 * [backup-simplify]: Simplify 1 into 1 4.019 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.020 * [backup-simplify]: Simplify (+ 0 0) into 0 4.020 * [backup-simplify]: Simplify (- 0) into 0 4.020 * [backup-simplify]: Simplify 0 into 0 4.021 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 4.021 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.021 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 4.022 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 4.022 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 4.023 * [backup-simplify]: Simplify (* 1 1) into 1 4.023 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.023 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 4.023 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 4.024 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.024 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.025 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.026 * [backup-simplify]: Simplify (* 1 1) into 1 4.026 * [backup-simplify]: Simplify (* 1 1) into 1 4.026 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 4.027 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.028 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 4.028 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 4.028 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 4.029 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 4.029 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 4.031 * [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)))) 4.031 * * * [progress]: simplifying candidates 4.034 * [simplify]: Simplifying: (/ (exp (/ (/ 0.3333333333333333 N) (* N N))) (exp (/ 0.5 (* N N)))) (log (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N)))) (exp (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N)))) (* (cbrt (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N)))) (cbrt (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))))) (cbrt (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N)))) (* (* (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N)))) (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N)))) (sqrt (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N)))) (sqrt (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N)))) (- (/ 0.3333333333333333 N) 0.5) (- (* (/ 0.3333333333333333 N) (* N N)) (* (* N N) 0.5)) (* (* N N) (* N N)) (- (pow (/ (/ 0.3333333333333333 N) (* N N)) 3) (pow (/ 0.5 (* N N)) 3)) (+ (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (* (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))))) (- (/ 0.5 (* N N))) (- (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (* (/ 0.5 (* N N)) (/ 0.5 (* N N)))) (+ (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (+ (sqrt (/ (/ 0.3333333333333333 N) (* N N))) (sqrt (/ 0.5 (* N N)))) (- (sqrt (/ (/ 0.3333333333333333 N) (* N N))) (sqrt (/ 0.5 (* N N)))) (+ (sqrt (/ (/ 0.3333333333333333 N) (* N N))) (/ (sqrt 0.5) N)) (- (sqrt (/ (/ 0.3333333333333333 N) (* N N))) (/ (sqrt 0.5) N)) (+ (/ (sqrt (/ 0.3333333333333333 N)) N) (sqrt (/ 0.5 (* N N)))) (- (/ (sqrt (/ 0.3333333333333333 N)) N) (sqrt (/ 0.5 (* N N)))) (+ (/ (sqrt (/ 0.3333333333333333 N)) N) (/ (sqrt 0.5) N)) (- (/ (sqrt (/ 0.3333333333333333 N)) N) (/ (sqrt 0.5) N)) (+ (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N) (sqrt (/ 0.5 (* N N)))) (- (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N) (sqrt (/ 0.5 (* N N)))) (+ (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N) (/ (sqrt 0.5) N)) (- (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N) (/ (sqrt 0.5) N)) (- (/ (/ 0.3333333333333333 N) N) (/ 0.5 N)) (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (- (/ 0.3333333333333333 N) 0.5) (- (/ 0.5 (* N N))) (- (log 0.5) (+ (log N) (log N))) (- (log 0.5) (log (* N N))) (log (/ 0.5 (* N N))) (exp (/ 0.5 (* N N))) (/ (* (* 0.5 0.5) 0.5) (* (* (* N N) N) (* (* N N) N))) (/ (* (* 0.5 0.5) 0.5) (* (* (* N N) (* N N)) (* N N))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N)))) (cbrt (/ 0.5 (* N N))) (* (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N))) (- 0.5) (- (* N N)) (/ (* (cbrt 0.5) (cbrt 0.5)) N) (/ (cbrt 0.5) N) (/ (sqrt 0.5) N) (/ (sqrt 0.5) N) (/ 1 N) (/ 0.5 N) (/ 1 (* N N)) (/ (* N N) 0.5) (/ 0.5 N) (/ (* N N) (cbrt 0.5)) (/ (* N N) (sqrt 0.5)) (/ (* N N) 0.5) (- (- (log 0.3333333333333333) (log N)) (+ (log N) (log N))) (- (- (log 0.3333333333333333) (log N)) (log (* N N))) (- (log (/ 0.3333333333333333 N)) (+ (log N) (log N))) (- (log (/ 0.3333333333333333 N)) (log (* N N))) (log (/ (/ 0.3333333333333333 N) (* N N))) (exp (/ (/ 0.3333333333333333 N) (* N N))) (/ (/ (* (* 0.3333333333333333 0.3333333333333333) 0.3333333333333333) (* (* N N) N)) (* (* (* N N) N) (* (* N N) N))) (/ (/ (* (* 0.3333333333333333 0.3333333333333333) 0.3333333333333333) (* (* N N) N)) (* (* (* N N) (* N N)) (* N N))) (/ (* (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (/ 0.3333333333333333 N)) (* (* (* N N) N) (* (* N N) N))) (/ (* (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (/ 0.3333333333333333 N)) (* (* (* N N) (* N N)) (* N N))) (* (cbrt (/ (/ 0.3333333333333333 N) (* N N))) (cbrt (/ (/ 0.3333333333333333 N) (* N N)))) (cbrt (/ (/ 0.3333333333333333 N) (* N N))) (* (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (/ (/ 0.3333333333333333 N) (* N N))) (sqrt (/ (/ 0.3333333333333333 N) (* N N))) (sqrt (/ (/ 0.3333333333333333 N) (* N N))) (- (/ 0.3333333333333333 N)) (- (* N N)) (/ (* (cbrt (/ 0.3333333333333333 N)) (cbrt (/ 0.3333333333333333 N))) N) (/ (cbrt (/ 0.3333333333333333 N)) N) (/ (sqrt (/ 0.3333333333333333 N)) N) (/ (sqrt (/ 0.3333333333333333 N)) N) (/ (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* (cbrt N) (cbrt N))) N) (/ (/ (cbrt 0.3333333333333333) (cbrt N)) N) (/ (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (sqrt N)) N) (/ (/ (cbrt 0.3333333333333333) (sqrt N)) N) (/ (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) 1) N) (/ (/ (cbrt 0.3333333333333333) N) N) (/ (/ (sqrt 0.3333333333333333) (* (cbrt N) (cbrt N))) N) (/ (/ (sqrt 0.3333333333333333) (cbrt N)) N) (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N) (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N) (/ (/ (sqrt 0.3333333333333333) 1) N) (/ (/ (sqrt 0.3333333333333333) N) N) (/ (/ 1 (* (cbrt N) (cbrt N))) N) (/ (/ 0.3333333333333333 (cbrt N)) N) (/ (/ 1 (sqrt N)) N) (/ (/ 0.3333333333333333 (sqrt N)) N) (/ (/ 1 1) N) (/ (/ 0.3333333333333333 N) N) (/ 1 N) (/ (/ 0.3333333333333333 N) N) (/ 0.3333333333333333 N) (/ (/ 1 N) N) (/ 1 (* N N)) (/ (* N N) (/ 0.3333333333333333 N)) (/ (/ 0.3333333333333333 N) N) (/ (* N N) (cbrt (/ 0.3333333333333333 N))) (/ (* N N) (sqrt (/ 0.3333333333333333 N))) (/ (* N N) (/ (cbrt 0.3333333333333333) (cbrt N))) (/ (* N N) (/ (cbrt 0.3333333333333333) (sqrt N))) (/ (* N N) (/ (cbrt 0.3333333333333333) N)) (/ (* N N) (/ (sqrt 0.3333333333333333) (cbrt N))) (/ (* N N) (/ (sqrt 0.3333333333333333) (sqrt N))) (/ (* N N) (/ (sqrt 0.3333333333333333) N)) (/ (* N N) (/ 0.3333333333333333 (cbrt N))) (/ (* N N) (/ 0.3333333333333333 (sqrt N))) (/ (* N N) (/ 0.3333333333333333 N)) (/ (* N N) (/ 0.3333333333333333 N)) (/ (* N N) (/ 1 N)) (* (* N N) N) (* (/ (exp (/ (/ 0.3333333333333333 N) (* N N))) (exp (/ 0.5 (* N N)))) (exp (/ 1.0 N))) (* (exp (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N)))) (exp (/ 1.0 N))) (log (+ (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (/ 1.0 N))) (exp (+ (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (/ 1.0 N))) (* (cbrt (+ (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (/ 1.0 N))) (cbrt (+ (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (/ 1.0 N)))) (cbrt (+ (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (/ 1.0 N))) (* (* (+ (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (/ 1.0 N)) (+ (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (/ 1.0 N))) (+ (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (/ 1.0 N))) (sqrt (+ (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (/ 1.0 N))) (sqrt (+ (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (/ 1.0 N))) (+ (* (- (/ 0.3333333333333333 N) 0.5) N) (* (* N N) 1.0)) (* (* N N) N) (+ (* (- (* (/ 0.3333333333333333 N) (* N N)) (* (* N N) 0.5)) N) (* (* (* N N) (* N N)) 1.0)) (* (* (* N N) (* N N)) N) (+ (* (- (pow (/ (/ 0.3333333333333333 N) (* N N)) 3) (pow (/ 0.5 (* N N)) 3)) N) (* (+ (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (* (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))))) 1.0)) (* (+ (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (* (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))))) N) (+ (* (- (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (* (/ 0.5 (* N N)) (/ 0.5 (* N N)))) N) (* (+ (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) 1.0)) (* (+ (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) N) (+ (pow (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) 3) (pow (/ 1.0 N) 3)) (+ (* (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N)))) (- (* (/ 1.0 N) (/ 1.0 N)) (* (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (/ 1.0 N)))) (- (* (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N)))) (* (/ 1.0 N) (/ 1.0 N))) (- (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (/ 1.0 N)) (+ (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (/ 1.0 N)) (+ (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (/ 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)))) (/ 0.5 (pow N 2)) (/ 0.5 (pow N 2)) (/ 0.5 (pow N 2)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 4.038 * * [simplify]: iteration 0: 215 enodes 4.095 * * [simplify]: iteration 1: 553 enodes 4.334 * * [simplify]: iteration 2: 1816 enodes 5.064 * * [simplify]: iteration complete: 5001 enodes 5.064 * * [simplify]: Extracting #0: cost 108 inf + 0 5.068 * * [simplify]: Extracting #1: cost 977 inf + 0 5.073 * * [simplify]: Extracting #2: cost 1850 inf + 1164 5.090 * * [simplify]: Extracting #3: cost 1718 inf + 48896 5.146 * * [simplify]: Extracting #4: cost 755 inf + 245283 5.236 * * [simplify]: Extracting #5: cost 109 inf + 417496 5.344 * * [simplify]: Extracting #6: cost 1 inf + 454342 5.472 * * [simplify]: Extracting #7: cost 0 inf + 454276 5.601 * [simplify]: Simplified to: (exp (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N)))) (log (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N)))) (exp (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N)))) (* (cbrt (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N)))) (cbrt (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))))) (cbrt (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N)))) (* (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (* (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))))) (sqrt (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N)))) (sqrt (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N)))) (- (/ 0.3333333333333333 N) 0.5) (- (* (/ 0.3333333333333333 N) (* N N)) (* N (* 0.5 N))) (* (* N N) (* N N)) (- (* (/ (/ 0.3333333333333333 N) (* N N)) (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (* (/ 0.5 (* N N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N))))) (+ (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (* (/ 0.5 (* N N)) (+ (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))))) (/ (- 0.5) (* N N)) (* (+ (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N)))) (+ (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (+ (sqrt (/ (/ 0.3333333333333333 N) (* N N))) (sqrt (/ 0.5 (* N N)))) (- (sqrt (/ (/ 0.3333333333333333 N) (* N N))) (sqrt (/ 0.5 (* N N)))) (+ (sqrt (/ (/ 0.3333333333333333 N) (* N N))) (/ (sqrt 0.5) N)) (- (sqrt (/ (/ 0.3333333333333333 N) (* N N))) (/ (sqrt 0.5) N)) (+ (sqrt (/ 0.5 (* N N))) (/ (sqrt (/ 0.3333333333333333 N)) N)) (- (/ (sqrt (/ 0.3333333333333333 N)) N) (sqrt (/ 0.5 (* N N)))) (+ (/ (sqrt 0.5) N) (/ (sqrt (/ 0.3333333333333333 N)) N)) (- (/ (sqrt (/ 0.3333333333333333 N)) N) (/ (sqrt 0.5) N)) (+ (/ (sqrt 0.3333333333333333) (* (sqrt N) N)) (sqrt (/ 0.5 (* N N)))) (- (/ (sqrt 0.3333333333333333) (* (sqrt N) N)) (sqrt (/ 0.5 (* N N)))) (+ (/ (sqrt 0.3333333333333333) (* (sqrt N) N)) (/ (sqrt 0.5) N)) (- (/ (sqrt 0.3333333333333333) (* (sqrt N) N)) (/ (sqrt 0.5) N)) (- (/ (/ 0.3333333333333333 N) N) (/ 0.5 N)) (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (- (/ 0.3333333333333333 N) 0.5) (/ (- 0.5) (* N N)) (log (/ 0.5 (* N N))) (log (/ 0.5 (* N N))) (log (/ 0.5 (* N N))) (exp (/ 0.5 (* N N))) (* (/ 0.5 (* N N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N)))) (* (/ 0.5 (* N N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N)))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N)))) (cbrt (/ 0.5 (* N N))) (* (/ 0.5 (* N N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N)))) (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N))) (- 0.5) (* (- N) N) (* (/ (cbrt 0.5) N) (cbrt 0.5)) (/ (cbrt 0.5) N) (/ (sqrt 0.5) N) (/ (sqrt 0.5) N) (/ 1 N) (/ 0.5 N) (/ (/ 1 N) N) (/ (* N N) 0.5) (/ 0.5 N) (/ (* N N) (cbrt 0.5)) (/ N (/ (sqrt 0.5) N)) (/ (* N N) 0.5) (log (/ (/ 0.3333333333333333 N) (* N N))) (log (/ (/ 0.3333333333333333 N) (* N N))) (log (/ (/ 0.3333333333333333 N) (* N N))) (log (/ (/ 0.3333333333333333 N) (* N N))) (log (/ (/ 0.3333333333333333 N) (* N N))) (exp (/ (/ 0.3333333333333333 N) (* N N))) (* (/ (/ 0.3333333333333333 N) (* N N)) (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (* (/ (/ 0.3333333333333333 N) (* N N)) (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (* (/ (/ 0.3333333333333333 N) (* N N)) (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (* (/ (/ 0.3333333333333333 N) (* N N)) (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (* (cbrt (/ (/ 0.3333333333333333 N) (* N N))) (cbrt (/ (/ 0.3333333333333333 N) (* N N)))) (cbrt (/ (/ 0.3333333333333333 N) (* N N))) (* (/ (/ 0.3333333333333333 N) (* N N)) (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (sqrt (/ (/ 0.3333333333333333 N) (* N N))) (sqrt (/ (/ 0.3333333333333333 N) (* N N))) (/ (- 0.3333333333333333) N) (* (- N) N) (/ (cbrt (/ 0.3333333333333333 N)) (/ N (cbrt (/ 0.3333333333333333 N)))) (/ (cbrt (/ 0.3333333333333333 N)) N) (/ (sqrt (/ 0.3333333333333333 N)) N) (/ (sqrt (/ 0.3333333333333333 N)) N) (/ (/ (cbrt 0.3333333333333333) (cbrt N)) (/ N (/ (cbrt 0.3333333333333333) (cbrt N)))) (/ (/ (cbrt 0.3333333333333333) (cbrt N)) N) (/ (* (/ (cbrt 0.3333333333333333) N) (cbrt 0.3333333333333333)) (sqrt N)) (/ (cbrt 0.3333333333333333) (* (sqrt N) N)) (* (/ (cbrt 0.3333333333333333) N) (cbrt 0.3333333333333333)) (/ (/ (cbrt 0.3333333333333333) N) N) (/ (/ (sqrt 0.3333333333333333) N) (* (cbrt N) (cbrt N))) (/ (/ (sqrt 0.3333333333333333) N) (cbrt N)) (/ (sqrt 0.3333333333333333) (* (sqrt N) N)) (/ (sqrt 0.3333333333333333) (* (sqrt N) N)) (/ (sqrt 0.3333333333333333) N) (/ (/ (sqrt 0.3333333333333333) N) N) (/ (/ (/ 1 (cbrt N)) (cbrt N)) N) (/ (/ 0.3333333333333333 (cbrt N)) N) (/ (/ 1 N) (sqrt N)) (/ 0.3333333333333333 (* (sqrt N) N)) (/ 1 N) (/ (/ 0.3333333333333333 N) N) (/ 1 N) (/ (/ 0.3333333333333333 N) N) (/ 0.3333333333333333 N) (/ (/ 1 N) N) (/ (/ 1 N) N) (/ N (/ (/ 0.3333333333333333 N) N)) (/ (/ 0.3333333333333333 N) N) (/ (* N N) (cbrt (/ 0.3333333333333333 N))) (/ N (/ (sqrt (/ 0.3333333333333333 N)) N)) (/ N (/ (/ (cbrt 0.3333333333333333) (cbrt N)) N)) (* (sqrt N) (/ N (/ (cbrt 0.3333333333333333) N))) (/ N (/ (/ (cbrt 0.3333333333333333) N) N)) (/ (* N N) (/ (sqrt 0.3333333333333333) (cbrt N))) (/ (* N N) (/ (sqrt 0.3333333333333333) (sqrt N))) (/ (* N N) (/ (sqrt 0.3333333333333333) N)) (* (/ N (/ 0.3333333333333333 N)) (cbrt N)) (/ (* (* N N) (sqrt N)) 0.3333333333333333) (/ N (/ (/ 0.3333333333333333 N) N)) (/ N (/ (/ 0.3333333333333333 N) N)) (* N (* N N)) (* N (* N N)) (exp (+ (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (/ 1.0 N))) (exp (+ (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (/ 1.0 N))) (log (- (/ (/ 0.3333333333333333 N) (* N N)) (- (/ 0.5 (* N N)) (/ 1.0 N)))) (exp (+ (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (/ 1.0 N))) (* (cbrt (- (/ (/ 0.3333333333333333 N) (* N N)) (- (/ 0.5 (* N N)) (/ 1.0 N)))) (cbrt (- (/ (/ 0.3333333333333333 N) (* N N)) (- (/ 0.5 (* N N)) (/ 1.0 N))))) (cbrt (- (/ (/ 0.3333333333333333 N) (* N N)) (- (/ 0.5 (* N N)) (/ 1.0 N)))) (* (- (/ (/ 0.3333333333333333 N) (* N N)) (- (/ 0.5 (* N N)) (/ 1.0 N))) (* (- (/ (/ 0.3333333333333333 N) (* N N)) (- (/ 0.5 (* N N)) (/ 1.0 N))) (- (/ (/ 0.3333333333333333 N) (* N N)) (- (/ 0.5 (* N N)) (/ 1.0 N))))) (sqrt (- (/ (/ 0.3333333333333333 N) (* N N)) (- (/ 0.5 (* N N)) (/ 1.0 N)))) (sqrt (- (/ (/ 0.3333333333333333 N) (* N N)) (- (/ 0.5 (* N N)) (/ 1.0 N)))) (* N (+ (* 1.0 N) (- (/ 0.3333333333333333 N) 0.5))) (* N (* N N)) (+ (* (- (* (/ 0.3333333333333333 N) (* N N)) (* N (* 0.5 N))) N) (* (* N N) (* (* N N) 1.0))) (* (* N (* N N)) (* N N)) (+ (* (+ (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (* (/ 0.5 (* N N)) (+ (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))))) 1.0) (* (- (* (/ (/ 0.3333333333333333 N) (* N N)) (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (* (/ 0.5 (* N N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N))))) N)) (* (+ (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (* (/ 0.5 (* N N)) (+ (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))))) N) (+ (* (+ (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) 1.0) (* (+ (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (* (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) N))) (* (+ (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) N) (+ (* (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (* (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))))) (* (* (/ 1.0 N) (/ 1.0 N)) (/ 1.0 N))) (+ (* (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N)))) (* (/ 1.0 N) (- (/ 1.0 N) (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N)))))) (- (* (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N)))) (* (/ 1.0 N) (/ 1.0 N))) (- (/ (/ 0.3333333333333333 N) (* N N)) (+ (/ 1.0 N) (/ 0.5 (* N N)))) (- (/ (/ 0.3333333333333333 N) (* N N)) (- (/ 0.5 (* N N)) (/ 1.0 N))) (- (/ (/ 0.3333333333333333 N) (* N N)) (- (/ 0.5 (* N N)) (/ 1.0 N))) (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 0.5 (* N N)) (/ 1.0 N)) (- (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.5 N) N)) (- (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.5 N) N)) (- (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.5 N) N)) (/ 0.5 (* N N)) (/ 0.5 (* N N)) (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N)) (+ (/ 1.0 N) (- (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.5 N) N))) (+ (/ 1.0 N) (- (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.5 N) N))) (+ (/ 1.0 N) (- (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.5 N) N))) 5.617 * * * [progress]: adding candidates to table 6.214 * * [progress]: iteration 3 / 4 6.214 * * * [progress]: picking best candidate 6.223 * * * * [pick]: Picked # 6.224 * * * [progress]: localizing error 6.245 * * * [progress]: generating rewritten candidates 6.245 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 6.344 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 6.351 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 1) 6.357 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 6.373 * * * [progress]: generating series expansions 6.373 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 6.373 * [backup-simplify]: Simplify (- (/ (/ 0.3333333333333333 N) (* N N)) (log (exp (/ 0.5 (* N N))))) into (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) 6.373 * [approximate]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) in (N) around 0 6.373 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) in N 6.374 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 6.374 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.374 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.374 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 6.374 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.374 * [taylor]: Taking taylor expansion of N in N 6.374 * [backup-simplify]: Simplify 0 into 0 6.374 * [backup-simplify]: Simplify 1 into 1 6.374 * [backup-simplify]: Simplify (* 1 1) into 1 6.374 * [backup-simplify]: Simplify (* 1 1) into 1 6.375 * [backup-simplify]: Simplify (/ 1 1) into 1 6.375 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 6.375 * [taylor]: Taking taylor expansion of 0.5 in N 6.375 * [backup-simplify]: Simplify 0.5 into 0.5 6.375 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 6.375 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.375 * [taylor]: Taking taylor expansion of N in N 6.375 * [backup-simplify]: Simplify 0 into 0 6.375 * [backup-simplify]: Simplify 1 into 1 6.375 * [backup-simplify]: Simplify (* 1 1) into 1 6.375 * [backup-simplify]: Simplify (/ 1 1) into 1 6.375 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) in N 6.375 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 6.375 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.375 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.375 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 6.375 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.376 * [taylor]: Taking taylor expansion of N in N 6.376 * [backup-simplify]: Simplify 0 into 0 6.376 * [backup-simplify]: Simplify 1 into 1 6.376 * [backup-simplify]: Simplify (* 1 1) into 1 6.376 * [backup-simplify]: Simplify (* 1 1) into 1 6.377 * [backup-simplify]: Simplify (/ 1 1) into 1 6.377 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 6.377 * [taylor]: Taking taylor expansion of 0.5 in N 6.377 * [backup-simplify]: Simplify 0.5 into 0.5 6.377 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 6.377 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.377 * [taylor]: Taking taylor expansion of N in N 6.377 * [backup-simplify]: Simplify 0 into 0 6.377 * [backup-simplify]: Simplify 1 into 1 6.377 * [backup-simplify]: Simplify (* 1 1) into 1 6.378 * [backup-simplify]: Simplify (/ 1 1) into 1 6.378 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 6.379 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 6.379 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.379 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.380 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.382 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 6.382 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 6.383 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.384 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 6.384 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.388 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 6.388 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.390 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 6.390 * [backup-simplify]: Simplify (- 0) into 0 6.390 * [backup-simplify]: Simplify (+ 0 0) into 0 6.391 * [backup-simplify]: Simplify 0 into 0 6.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.395 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.395 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.397 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 6.398 * [backup-simplify]: Simplify (- 0) into 0 6.398 * [backup-simplify]: Simplify (+ 0 0) into 0 6.398 * [backup-simplify]: Simplify 0 into 0 6.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.402 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.403 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.405 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.406 * [backup-simplify]: Simplify (- 0) into 0 6.406 * [backup-simplify]: Simplify (+ 0 0) into 0 6.406 * [backup-simplify]: Simplify 0 into 0 6.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.411 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.414 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.415 * [backup-simplify]: Simplify (- 0) into 0 6.415 * [backup-simplify]: Simplify (+ 0 0) into 0 6.415 * [backup-simplify]: Simplify 0 into 0 6.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.420 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.424 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.425 * [backup-simplify]: Simplify (- 0) into 0 6.425 * [backup-simplify]: Simplify (+ 0 0) into 0 6.425 * [backup-simplify]: Simplify 0 into 0 6.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 6.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 6.430 * [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 6.432 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 6.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.435 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.436 * [backup-simplify]: Simplify (- 0) into 0 6.436 * [backup-simplify]: Simplify (+ 0 0) into 0 6.436 * [backup-simplify]: Simplify 0 into 0 6.436 * [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)))) 6.437 * [backup-simplify]: Simplify (- (/ (/ 0.3333333333333333 (/ 1 N)) (* (/ 1 N) (/ 1 N))) (log (exp (/ 0.5 (* (/ 1 N) (/ 1 N)))))) into (- (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) 6.437 * [approximate]: Taking taylor expansion of (- (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in (N) around 0 6.437 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in N 6.437 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 6.437 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.437 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.437 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.437 * [taylor]: Taking taylor expansion of N in N 6.437 * [backup-simplify]: Simplify 0 into 0 6.437 * [backup-simplify]: Simplify 1 into 1 6.437 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 6.437 * [taylor]: Taking taylor expansion of 0.5 in N 6.437 * [backup-simplify]: Simplify 0.5 into 0.5 6.437 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.437 * [taylor]: Taking taylor expansion of N in N 6.437 * [backup-simplify]: Simplify 0 into 0 6.437 * [backup-simplify]: Simplify 1 into 1 6.437 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in N 6.437 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 6.437 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.437 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.437 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.437 * [taylor]: Taking taylor expansion of N in N 6.437 * [backup-simplify]: Simplify 0 into 0 6.437 * [backup-simplify]: Simplify 1 into 1 6.437 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 6.437 * [taylor]: Taking taylor expansion of 0.5 in N 6.437 * [backup-simplify]: Simplify 0.5 into 0.5 6.437 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.437 * [taylor]: Taking taylor expansion of N in N 6.437 * [backup-simplify]: Simplify 0 into 0 6.437 * [backup-simplify]: Simplify 1 into 1 6.438 * [backup-simplify]: Simplify (* 1 1) into 1 6.438 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 6.438 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.439 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 6.439 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.439 * [backup-simplify]: Simplify (* 1 1) into 1 6.439 * [backup-simplify]: Simplify (* 1 1) into 1 6.440 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 6.440 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.440 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 6.441 * [backup-simplify]: Simplify (- 0) into 0 6.441 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 6.441 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.441 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.442 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.442 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 6.443 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.443 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 6.444 * [backup-simplify]: Simplify (- 0) into 0 6.444 * [backup-simplify]: Simplify (+ 0 0) into 0 6.444 * [backup-simplify]: Simplify 0 into 0 6.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.445 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 6.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.447 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.447 * [backup-simplify]: Simplify (- 0) into 0 6.447 * [backup-simplify]: Simplify (+ 0 0) into 0 6.447 * [backup-simplify]: Simplify 0 into 0 6.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.449 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.450 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.451 * [backup-simplify]: Simplify (- 0) into 0 6.451 * [backup-simplify]: Simplify (+ 0 0) into 0 6.451 * [backup-simplify]: Simplify 0 into 0 6.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.453 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.454 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.455 * [backup-simplify]: Simplify (- 0) into 0 6.455 * [backup-simplify]: Simplify (+ 0 0) into 0 6.455 * [backup-simplify]: Simplify 0 into 0 6.456 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.456 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.457 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.458 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.459 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.459 * [backup-simplify]: Simplify (- 0) into 0 6.459 * [backup-simplify]: Simplify (+ 0 0) into 0 6.459 * [backup-simplify]: Simplify 0 into 0 6.460 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.462 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.463 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 6.464 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 6.464 * [backup-simplify]: Simplify (- 0) into 0 6.464 * [backup-simplify]: Simplify (+ 0 0) into 0 6.464 * [backup-simplify]: Simplify 0 into 0 6.465 * [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)))) 6.465 * [backup-simplify]: Simplify (- (/ (/ 0.3333333333333333 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N)))) (log (exp (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N))))))) into (- (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3)))) 6.465 * [approximate]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3)))) in (N) around 0 6.465 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3)))) in N 6.465 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))) in N 6.465 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 6.465 * [taylor]: Taking taylor expansion of 0.5 in N 6.465 * [backup-simplify]: Simplify 0.5 into 0.5 6.465 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.465 * [taylor]: Taking taylor expansion of N in N 6.465 * [backup-simplify]: Simplify 0 into 0 6.466 * [backup-simplify]: Simplify 1 into 1 6.466 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 6.466 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.466 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.466 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.466 * [taylor]: Taking taylor expansion of N in N 6.466 * [backup-simplify]: Simplify 0 into 0 6.466 * [backup-simplify]: Simplify 1 into 1 6.466 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3)))) in N 6.466 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))) in N 6.466 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 6.466 * [taylor]: Taking taylor expansion of 0.5 in N 6.466 * [backup-simplify]: Simplify 0.5 into 0.5 6.466 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.466 * [taylor]: Taking taylor expansion of N in N 6.466 * [backup-simplify]: Simplify 0 into 0 6.466 * [backup-simplify]: Simplify 1 into 1 6.466 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 6.466 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.466 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.466 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.466 * [taylor]: Taking taylor expansion of N in N 6.466 * [backup-simplify]: Simplify 0 into 0 6.466 * [backup-simplify]: Simplify 1 into 1 6.466 * [backup-simplify]: Simplify (* 1 1) into 1 6.466 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 6.467 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 6.467 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.467 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.468 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.468 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 6.468 * [backup-simplify]: Simplify (* 1 1) into 1 6.468 * [backup-simplify]: Simplify (* 1 1) into 1 6.469 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 6.469 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 6.469 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 6.469 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 6.470 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.471 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 6.471 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.471 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.472 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 6.472 * [backup-simplify]: Simplify (+ 0 0) into 0 6.472 * [backup-simplify]: Simplify (- 0) into 0 6.472 * [backup-simplify]: Simplify 0 into 0 6.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.474 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.474 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.475 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 6.476 * [backup-simplify]: Simplify (+ 0 0) into 0 6.476 * [backup-simplify]: Simplify (- 0) into 0 6.476 * [backup-simplify]: Simplify 0 into 0 6.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.482 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.482 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.483 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.484 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.484 * [backup-simplify]: Simplify (+ 0 0) into 0 6.484 * [backup-simplify]: Simplify (- 0) into 0 6.484 * [backup-simplify]: Simplify 0 into 0 6.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.486 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.488 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.489 * [backup-simplify]: Simplify (+ 0 0) into 0 6.489 * [backup-simplify]: Simplify (- 0) into 0 6.489 * [backup-simplify]: Simplify 0 into 0 6.490 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.492 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.493 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.496 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.496 * [backup-simplify]: Simplify (+ 0 0) into 0 6.496 * [backup-simplify]: Simplify (- 0) into 0 6.496 * [backup-simplify]: Simplify 0 into 0 6.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 6.499 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 6.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.502 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.504 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.504 * [backup-simplify]: Simplify (+ 0 0) into 0 6.504 * [backup-simplify]: Simplify (- 0) into 0 6.504 * [backup-simplify]: Simplify 0 into 0 6.506 * [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)))) 6.506 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 6.506 * [backup-simplify]: Simplify (log (exp (/ 0.5 (* N N)))) into (/ 0.5 (pow N 2)) 6.506 * [approximate]: Taking taylor expansion of (/ 0.5 (pow N 2)) in (N) around 0 6.506 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 6.506 * [taylor]: Taking taylor expansion of 0.5 in N 6.506 * [backup-simplify]: Simplify 0.5 into 0.5 6.506 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.506 * [taylor]: Taking taylor expansion of N in N 6.506 * [backup-simplify]: Simplify 0 into 0 6.506 * [backup-simplify]: Simplify 1 into 1 6.506 * [backup-simplify]: Simplify (* 1 1) into 1 6.507 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 6.507 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 6.507 * [taylor]: Taking taylor expansion of 0.5 in N 6.507 * [backup-simplify]: Simplify 0.5 into 0.5 6.507 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.507 * [taylor]: Taking taylor expansion of N in N 6.507 * [backup-simplify]: Simplify 0 into 0 6.507 * [backup-simplify]: Simplify 1 into 1 6.507 * [backup-simplify]: Simplify (* 1 1) into 1 6.508 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 6.508 * [backup-simplify]: Simplify 0.5 into 0.5 6.508 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.509 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0 6.509 * [backup-simplify]: Simplify 0 into 0 6.510 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.511 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.511 * [backup-simplify]: Simplify 0 into 0 6.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.513 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.513 * [backup-simplify]: Simplify 0 into 0 6.514 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.515 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.515 * [backup-simplify]: Simplify 0 into 0 6.516 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.516 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.516 * [backup-simplify]: Simplify 0 into 0 6.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.518 * [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 6.518 * [backup-simplify]: Simplify 0 into 0 6.518 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 N) 2)) into (/ 0.5 (pow N 2)) 6.518 * [backup-simplify]: Simplify (log (exp (/ 0.5 (* (/ 1 N) (/ 1 N))))) into (* 0.5 (pow N 2)) 6.518 * [approximate]: Taking taylor expansion of (* 0.5 (pow N 2)) in (N) around 0 6.518 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 6.518 * [taylor]: Taking taylor expansion of 0.5 in N 6.518 * [backup-simplify]: Simplify 0.5 into 0.5 6.518 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.518 * [taylor]: Taking taylor expansion of N in N 6.518 * [backup-simplify]: Simplify 0 into 0 6.518 * [backup-simplify]: Simplify 1 into 1 6.518 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 6.518 * [taylor]: Taking taylor expansion of 0.5 in N 6.518 * [backup-simplify]: Simplify 0.5 into 0.5 6.518 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.518 * [taylor]: Taking taylor expansion of N in N 6.518 * [backup-simplify]: Simplify 0 into 0 6.518 * [backup-simplify]: Simplify 1 into 1 6.519 * [backup-simplify]: Simplify (* 1 1) into 1 6.519 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 6.519 * [backup-simplify]: Simplify 0.5 into 0.5 6.519 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.520 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 6.520 * [backup-simplify]: Simplify 0 into 0 6.520 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.521 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 6.521 * [backup-simplify]: Simplify 0 into 0 6.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.522 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.522 * [backup-simplify]: Simplify 0 into 0 6.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.524 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.524 * [backup-simplify]: Simplify 0 into 0 6.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.526 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.526 * [backup-simplify]: Simplify 0 into 0 6.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.528 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.528 * [backup-simplify]: Simplify 0 into 0 6.528 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 N) 2)) into (/ 0.5 (pow N 2)) 6.528 * [backup-simplify]: Simplify (log (exp (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N)))))) into (* 0.5 (pow N 2)) 6.528 * [approximate]: Taking taylor expansion of (* 0.5 (pow N 2)) in (N) around 0 6.528 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 6.528 * [taylor]: Taking taylor expansion of 0.5 in N 6.528 * [backup-simplify]: Simplify 0.5 into 0.5 6.529 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.529 * [taylor]: Taking taylor expansion of N in N 6.529 * [backup-simplify]: Simplify 0 into 0 6.529 * [backup-simplify]: Simplify 1 into 1 6.529 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 6.529 * [taylor]: Taking taylor expansion of 0.5 in N 6.529 * [backup-simplify]: Simplify 0.5 into 0.5 6.529 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.529 * [taylor]: Taking taylor expansion of N in N 6.529 * [backup-simplify]: Simplify 0 into 0 6.529 * [backup-simplify]: Simplify 1 into 1 6.529 * [backup-simplify]: Simplify (* 1 1) into 1 6.529 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 6.529 * [backup-simplify]: Simplify 0.5 into 0.5 6.530 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.530 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 6.530 * [backup-simplify]: Simplify 0 into 0 6.531 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.531 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 6.531 * [backup-simplify]: Simplify 0 into 0 6.532 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.533 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.533 * [backup-simplify]: Simplify 0 into 0 6.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.534 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.534 * [backup-simplify]: Simplify 0 into 0 6.535 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.536 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.536 * [backup-simplify]: Simplify 0 into 0 6.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.538 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.538 * [backup-simplify]: Simplify 0 into 0 6.538 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 (- N)) 2)) into (/ 0.5 (pow N 2)) 6.538 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 1) 6.538 * [backup-simplify]: Simplify (/ 0.5 (* N N)) into (/ 0.5 (pow N 2)) 6.538 * [approximate]: Taking taylor expansion of (/ 0.5 (pow N 2)) in (N) around 0 6.538 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 6.538 * [taylor]: Taking taylor expansion of 0.5 in N 6.538 * [backup-simplify]: Simplify 0.5 into 0.5 6.538 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.538 * [taylor]: Taking taylor expansion of N in N 6.538 * [backup-simplify]: Simplify 0 into 0 6.538 * [backup-simplify]: Simplify 1 into 1 6.539 * [backup-simplify]: Simplify (* 1 1) into 1 6.539 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 6.539 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 6.539 * [taylor]: Taking taylor expansion of 0.5 in N 6.539 * [backup-simplify]: Simplify 0.5 into 0.5 6.539 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.539 * [taylor]: Taking taylor expansion of N in N 6.539 * [backup-simplify]: Simplify 0 into 0 6.539 * [backup-simplify]: Simplify 1 into 1 6.539 * [backup-simplify]: Simplify (* 1 1) into 1 6.540 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 6.540 * [backup-simplify]: Simplify 0.5 into 0.5 6.540 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.540 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0 6.541 * [backup-simplify]: Simplify 0 into 0 6.541 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.542 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.542 * [backup-simplify]: Simplify 0 into 0 6.542 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.543 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.543 * [backup-simplify]: Simplify 0 into 0 6.544 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.544 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.544 * [backup-simplify]: Simplify 0 into 0 6.545 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.546 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.546 * [backup-simplify]: Simplify 0 into 0 6.546 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.547 * [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 6.547 * [backup-simplify]: Simplify 0 into 0 6.547 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 N) 2)) into (/ 0.5 (pow N 2)) 6.547 * [backup-simplify]: Simplify (/ 0.5 (* (/ 1 N) (/ 1 N))) into (* 0.5 (pow N 2)) 6.547 * [approximate]: Taking taylor expansion of (* 0.5 (pow N 2)) in (N) around 0 6.547 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 6.547 * [taylor]: Taking taylor expansion of 0.5 in N 6.547 * [backup-simplify]: Simplify 0.5 into 0.5 6.547 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.547 * [taylor]: Taking taylor expansion of N in N 6.547 * [backup-simplify]: Simplify 0 into 0 6.547 * [backup-simplify]: Simplify 1 into 1 6.547 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 6.548 * [taylor]: Taking taylor expansion of 0.5 in N 6.548 * [backup-simplify]: Simplify 0.5 into 0.5 6.548 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.548 * [taylor]: Taking taylor expansion of N in N 6.548 * [backup-simplify]: Simplify 0 into 0 6.548 * [backup-simplify]: Simplify 1 into 1 6.548 * [backup-simplify]: Simplify (* 1 1) into 1 6.548 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 6.548 * [backup-simplify]: Simplify 0.5 into 0.5 6.549 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.549 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 6.549 * [backup-simplify]: Simplify 0 into 0 6.550 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.550 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 6.550 * [backup-simplify]: Simplify 0 into 0 6.551 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.551 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.551 * [backup-simplify]: Simplify 0 into 0 6.553 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.554 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.554 * [backup-simplify]: Simplify 0 into 0 6.555 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.557 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.557 * [backup-simplify]: Simplify 0 into 0 6.558 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.560 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.560 * [backup-simplify]: Simplify 0 into 0 6.560 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 N) 2)) into (/ 0.5 (pow N 2)) 6.561 * [backup-simplify]: Simplify (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N)))) into (* 0.5 (pow N 2)) 6.561 * [approximate]: Taking taylor expansion of (* 0.5 (pow N 2)) in (N) around 0 6.561 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 6.561 * [taylor]: Taking taylor expansion of 0.5 in N 6.561 * [backup-simplify]: Simplify 0.5 into 0.5 6.561 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.561 * [taylor]: Taking taylor expansion of N in N 6.561 * [backup-simplify]: Simplify 0 into 0 6.561 * [backup-simplify]: Simplify 1 into 1 6.561 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 6.561 * [taylor]: Taking taylor expansion of 0.5 in N 6.561 * [backup-simplify]: Simplify 0.5 into 0.5 6.561 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.561 * [taylor]: Taking taylor expansion of N in N 6.561 * [backup-simplify]: Simplify 0 into 0 6.561 * [backup-simplify]: Simplify 1 into 1 6.562 * [backup-simplify]: Simplify (* 1 1) into 1 6.562 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 6.562 * [backup-simplify]: Simplify 0.5 into 0.5 6.563 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.563 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 6.563 * [backup-simplify]: Simplify 0 into 0 6.564 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.565 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 6.565 * [backup-simplify]: Simplify 0 into 0 6.567 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.568 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.568 * [backup-simplify]: Simplify 0 into 0 6.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.570 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.570 * [backup-simplify]: Simplify 0 into 0 6.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.573 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.573 * [backup-simplify]: Simplify 0 into 0 6.575 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.577 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.577 * [backup-simplify]: Simplify 0 into 0 6.577 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 (- N)) 2)) into (/ 0.5 (pow N 2)) 6.577 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 6.577 * [backup-simplify]: Simplify (/ (/ 0.3333333333333333 N) (* N N)) into (/ 0.3333333333333333 (pow N 3)) 6.577 * [approximate]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in (N) around 0 6.578 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 6.578 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.578 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.578 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.578 * [taylor]: Taking taylor expansion of N in N 6.578 * [backup-simplify]: Simplify 0 into 0 6.578 * [backup-simplify]: Simplify 1 into 1 6.578 * [backup-simplify]: Simplify (* 1 1) into 1 6.579 * [backup-simplify]: Simplify (* 1 1) into 1 6.579 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 6.579 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 6.579 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.579 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.579 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.579 * [taylor]: Taking taylor expansion of N in N 6.579 * [backup-simplify]: Simplify 0 into 0 6.579 * [backup-simplify]: Simplify 1 into 1 6.580 * [backup-simplify]: Simplify (* 1 1) into 1 6.580 * [backup-simplify]: Simplify (* 1 1) into 1 6.580 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 6.581 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.581 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.582 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.583 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)))) into 0 6.583 * [backup-simplify]: Simplify 0 into 0 6.584 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.584 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.585 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.585 * [backup-simplify]: Simplify 0 into 0 6.586 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.587 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.588 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.589 * [backup-simplify]: Simplify 0 into 0 6.590 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.592 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.592 * [backup-simplify]: Simplify 0 into 0 6.598 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.600 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.601 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.601 * [backup-simplify]: Simplify 0 into 0 6.603 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.604 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.604 * [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 6.605 * [backup-simplify]: Simplify 0 into 0 6.605 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 6.605 * [backup-simplify]: Simplify (/ (/ 0.3333333333333333 (/ 1 N)) (* (/ 1 N) (/ 1 N))) into (* 0.3333333333333333 (pow N 3)) 6.605 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in (N) around 0 6.605 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 6.605 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.605 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.605 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.605 * [taylor]: Taking taylor expansion of N in N 6.605 * [backup-simplify]: Simplify 0 into 0 6.605 * [backup-simplify]: Simplify 1 into 1 6.605 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 6.605 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.605 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.605 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.605 * [taylor]: Taking taylor expansion of N in N 6.605 * [backup-simplify]: Simplify 0 into 0 6.605 * [backup-simplify]: Simplify 1 into 1 6.605 * [backup-simplify]: Simplify (* 1 1) into 1 6.606 * [backup-simplify]: Simplify (* 1 1) into 1 6.606 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 6.606 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.606 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.607 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.607 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 6.607 * [backup-simplify]: Simplify 0 into 0 6.608 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.608 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.609 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 6.609 * [backup-simplify]: Simplify 0 into 0 6.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.610 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.611 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.611 * [backup-simplify]: Simplify 0 into 0 6.611 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.612 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.613 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.613 * [backup-simplify]: Simplify 0 into 0 6.613 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.614 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.615 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.615 * [backup-simplify]: Simplify 0 into 0 6.616 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.617 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.618 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.618 * [backup-simplify]: Simplify 0 into 0 6.618 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 6.618 * [backup-simplify]: Simplify (/ (/ 0.3333333333333333 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N)))) into (* -0.3333333333333333 (pow N 3)) 6.618 * [approximate]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in (N) around 0 6.618 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 6.618 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 6.618 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 6.618 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.618 * [taylor]: Taking taylor expansion of N in N 6.618 * [backup-simplify]: Simplify 0 into 0 6.618 * [backup-simplify]: Simplify 1 into 1 6.618 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 6.618 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 6.618 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 6.618 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.618 * [taylor]: Taking taylor expansion of N in N 6.618 * [backup-simplify]: Simplify 0 into 0 6.618 * [backup-simplify]: Simplify 1 into 1 6.619 * [backup-simplify]: Simplify (* 1 1) into 1 6.619 * [backup-simplify]: Simplify (* 1 1) into 1 6.619 * [backup-simplify]: Simplify (* -0.3333333333333333 1) into -0.3333333333333333 6.619 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 6.620 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.620 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.620 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (* 0 1)) into 0 6.620 * [backup-simplify]: Simplify 0 into 0 6.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.622 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 6.622 * [backup-simplify]: Simplify 0 into 0 6.623 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.623 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.624 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.624 * [backup-simplify]: Simplify 0 into 0 6.625 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.625 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.626 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.626 * [backup-simplify]: Simplify 0 into 0 6.627 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.629 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.629 * [backup-simplify]: Simplify 0 into 0 6.630 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.631 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.632 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.632 * [backup-simplify]: Simplify 0 into 0 6.632 * [backup-simplify]: Simplify (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) into (/ 0.3333333333333333 (pow N 3)) 6.632 * * * [progress]: simplifying candidates 6.634 * [simplify]: Simplifying: (/ (exp (/ (/ 0.3333333333333333 N) (* N N))) (exp (/ 0.5 (* N N)))) (log (- (/ (/ 0.3333333333333333 N) (* N N)) (log (exp (/ 0.5 (* N N)))))) (exp (- (/ (/ 0.3333333333333333 N) (* N N)) (log (exp (/ 0.5 (* N N)))))) (* (cbrt (- (/ (/ 0.3333333333333333 N) (* N N)) (log (exp (/ 0.5 (* N N)))))) (cbrt (- (/ (/ 0.3333333333333333 N) (* N N)) (log (exp (/ 0.5 (* N N))))))) (cbrt (- (/ (/ 0.3333333333333333 N) (* N N)) (log (exp (/ 0.5 (* N N)))))) (* (* (- (/ (/ 0.3333333333333333 N) (* N N)) (log (exp (/ 0.5 (* N N))))) (- (/ (/ 0.3333333333333333 N) (* N N)) (log (exp (/ 0.5 (* N N)))))) (- (/ (/ 0.3333333333333333 N) (* N N)) (log (exp (/ 0.5 (* N N)))))) (sqrt (- (/ (/ 0.3333333333333333 N) (* N N)) (log (exp (/ 0.5 (* N N)))))) (sqrt (- (/ (/ 0.3333333333333333 N) (* N N)) (log (exp (/ 0.5 (* N N)))))) (- (pow (/ (/ 0.3333333333333333 N) (* N N)) 3) (pow (log (exp (/ 0.5 (* N N)))) 3)) (+ (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (+ (* (log (exp (/ 0.5 (* N N)))) (log (exp (/ 0.5 (* N N))))) (* (/ (/ 0.3333333333333333 N) (* N N)) (log (exp (/ 0.5 (* N N))))))) (- (log (exp (/ 0.5 (* N N))))) (- (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (* (log (exp (/ 0.5 (* N N)))) (log (exp (/ 0.5 (* N N)))))) (+ (/ (/ 0.3333333333333333 N) (* N N)) (log (exp (/ 0.5 (* N N))))) (+ (sqrt (/ (/ 0.3333333333333333 N) (* N N))) (sqrt (log (exp (/ 0.5 (* N N)))))) (- (sqrt (/ (/ 0.3333333333333333 N) (* N N))) (sqrt (log (exp (/ 0.5 (* N N)))))) (+ (/ (sqrt (/ 0.3333333333333333 N)) N) (sqrt (log (exp (/ 0.5 (* N N)))))) (- (/ (sqrt (/ 0.3333333333333333 N)) N) (sqrt (log (exp (/ 0.5 (* N N)))))) (+ (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N) (sqrt (log (exp (/ 0.5 (* N N)))))) (- (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N) (sqrt (log (exp (/ 0.5 (* N N)))))) (- (/ (/ 0.3333333333333333 N) (* N N)) (log (exp (/ 0.5 (* N N))))) (- (/ (/ 0.3333333333333333 N) (* N N)) (log (exp (/ 0.5 (* N N))))) (- (/ (/ 0.3333333333333333 N) (* N N)) (log (* (cbrt (exp (/ 0.5 (* N N)))) (cbrt (exp (/ 0.5 (* N N))))))) (- (/ (/ 0.3333333333333333 N) (* N N)) (log (sqrt (exp (/ 0.5 (* N N)))))) (- (/ (/ 0.3333333333333333 N) (* N N)) (log 1)) (- (log (exp (/ 0.5 (* N N))))) (log (* (cbrt (exp (/ 0.5 (* N N)))) (cbrt (exp (/ 0.5 (* N N)))))) (log (cbrt (exp (/ 0.5 (* N N))))) (log (sqrt (exp (/ 0.5 (* N N))))) (log (sqrt (exp (/ 0.5 (* N N))))) (log 1) (log (exp (/ 0.5 (* N N)))) (log (exp (/ 0.5 (* N N)))) (log (exp (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N)))))) (log (exp (sqrt (/ 0.5 (* N N))))) (log (exp (/ (* (cbrt 0.5) (cbrt 0.5)) N))) (log (exp (/ (sqrt 0.5) N))) (log (exp (/ 1 N))) (log (exp 1)) (log (exp 0.5)) (log (log (exp (/ 0.5 (* N N))))) (exp (log (exp (/ 0.5 (* N N))))) (* (cbrt (log (exp (/ 0.5 (* N N))))) (cbrt (log (exp (/ 0.5 (* N N)))))) (cbrt (log (exp (/ 0.5 (* N N))))) (* (* (log (exp (/ 0.5 (* N N)))) (log (exp (/ 0.5 (* N N))))) (log (exp (/ 0.5 (* N N))))) (sqrt (log (exp (/ 0.5 (* N N))))) (sqrt (log (exp (/ 0.5 (* N N))))) (- (log 0.5) (+ (log N) (log N))) (- (log 0.5) (log (* N N))) (log (/ 0.5 (* N N))) (exp (/ 0.5 (* N N))) (/ (* (* 0.5 0.5) 0.5) (* (* (* N N) N) (* (* N N) N))) (/ (* (* 0.5 0.5) 0.5) (* (* (* N N) (* N N)) (* N N))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N)))) (cbrt (/ 0.5 (* N N))) (* (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N))) (- 0.5) (- (* N N)) (/ (* (cbrt 0.5) (cbrt 0.5)) N) (/ (cbrt 0.5) N) (/ (sqrt 0.5) N) (/ (sqrt 0.5) N) (/ 1 N) (/ 0.5 N) (/ 1 (* N N)) (/ (* N N) 0.5) (/ 0.5 N) (/ (* N N) (cbrt 0.5)) (/ (* N N) (sqrt 0.5)) (/ (* N N) 0.5) (- (- (log 0.3333333333333333) (log N)) (+ (log N) (log N))) (- (- (log 0.3333333333333333) (log N)) (log (* N N))) (- (log (/ 0.3333333333333333 N)) (+ (log N) (log N))) (- (log (/ 0.3333333333333333 N)) (log (* N N))) (log (/ (/ 0.3333333333333333 N) (* N N))) (exp (/ (/ 0.3333333333333333 N) (* N N))) (/ (/ (* (* 0.3333333333333333 0.3333333333333333) 0.3333333333333333) (* (* N N) N)) (* (* (* N N) N) (* (* N N) N))) (/ (/ (* (* 0.3333333333333333 0.3333333333333333) 0.3333333333333333) (* (* N N) N)) (* (* (* N N) (* N N)) (* N N))) (/ (* (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (/ 0.3333333333333333 N)) (* (* (* N N) N) (* (* N N) N))) (/ (* (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (/ 0.3333333333333333 N)) (* (* (* N N) (* N N)) (* N N))) (* (cbrt (/ (/ 0.3333333333333333 N) (* N N))) (cbrt (/ (/ 0.3333333333333333 N) (* N N)))) (cbrt (/ (/ 0.3333333333333333 N) (* N N))) (* (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (/ (/ 0.3333333333333333 N) (* N N))) (sqrt (/ (/ 0.3333333333333333 N) (* N N))) (sqrt (/ (/ 0.3333333333333333 N) (* N N))) (- (/ 0.3333333333333333 N)) (- (* N N)) (/ (* (cbrt (/ 0.3333333333333333 N)) (cbrt (/ 0.3333333333333333 N))) N) (/ (cbrt (/ 0.3333333333333333 N)) N) (/ (sqrt (/ 0.3333333333333333 N)) N) (/ (sqrt (/ 0.3333333333333333 N)) N) (/ (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* (cbrt N) (cbrt N))) N) (/ (/ (cbrt 0.3333333333333333) (cbrt N)) N) (/ (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (sqrt N)) N) (/ (/ (cbrt 0.3333333333333333) (sqrt N)) N) (/ (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) 1) N) (/ (/ (cbrt 0.3333333333333333) N) N) (/ (/ (sqrt 0.3333333333333333) (* (cbrt N) (cbrt N))) N) (/ (/ (sqrt 0.3333333333333333) (cbrt N)) N) (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N) (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N) (/ (/ (sqrt 0.3333333333333333) 1) N) (/ (/ (sqrt 0.3333333333333333) N) N) (/ (/ 1 (* (cbrt N) (cbrt N))) N) (/ (/ 0.3333333333333333 (cbrt N)) N) (/ (/ 1 (sqrt N)) N) (/ (/ 0.3333333333333333 (sqrt N)) N) (/ (/ 1 1) N) (/ (/ 0.3333333333333333 N) N) (/ 1 N) (/ (/ 0.3333333333333333 N) N) (/ 0.3333333333333333 N) (/ (/ 1 N) N) (/ 1 (* N N)) (/ (* N N) (/ 0.3333333333333333 N)) (/ (/ 0.3333333333333333 N) N) (/ (* N N) (cbrt (/ 0.3333333333333333 N))) (/ (* N N) (sqrt (/ 0.3333333333333333 N))) (/ (* N N) (/ (cbrt 0.3333333333333333) (cbrt N))) (/ (* N N) (/ (cbrt 0.3333333333333333) (sqrt N))) (/ (* N N) (/ (cbrt 0.3333333333333333) N)) (/ (* N N) (/ (sqrt 0.3333333333333333) (cbrt N))) (/ (* N N) (/ (sqrt 0.3333333333333333) (sqrt N))) (/ (* N N) (/ (sqrt 0.3333333333333333) N)) (/ (* N N) (/ 0.3333333333333333 (cbrt N))) (/ (* N N) (/ 0.3333333333333333 (sqrt N))) (/ (* N N) (/ 0.3333333333333333 N)) (/ (* N N) (/ 0.3333333333333333 N)) (/ (* N N) (/ 1 N)) (* (* N N) N) (- (* 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)))) (/ 0.5 (pow N 2)) (/ 0.5 (pow N 2)) (/ 0.5 (pow N 2)) (/ 0.5 (pow N 2)) (/ 0.5 (pow N 2)) (/ 0.5 (pow N 2)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) 6.635 * * [simplify]: iteration 0: 192 enodes 6.718 * * [simplify]: iteration 1: 446 enodes 6.894 * * [simplify]: iteration 2: 1348 enodes 7.486 * * [simplify]: iteration complete: 5000 enodes 7.487 * * [simplify]: Extracting #0: cost 86 inf + 0 7.491 * * [simplify]: Extracting #1: cost 999 inf + 3 7.502 * * [simplify]: Extracting #2: cost 1846 inf + 4587 7.540 * * [simplify]: Extracting #3: cost 1382 inf + 83704 7.589 * * [simplify]: Extracting #4: cost 442 inf + 256995 7.684 * * [simplify]: Extracting #5: cost 60 inf + 381322 7.760 * * [simplify]: Extracting #6: cost 0 inf + 402460 7.876 * [simplify]: Simplified to: (exp (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N)))) (log (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N)))) (exp (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N)))) (* (cbrt (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N)))) (cbrt (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))))) (cbrt (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N)))) (* (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (* (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))))) (sqrt (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N)))) (sqrt (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N)))) (- (* (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (/ (/ 0.3333333333333333 N) (* N N))) (* (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (/ 0.5 (* N N)))) (+ (* (/ 0.5 (* N N)) (+ (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (/ (- 0.5) (* N N)) (- (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (* (/ 0.5 (* N N)) (/ 0.5 (* N N)))) (+ (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (+ (sqrt (/ 0.5 (* N N))) (sqrt (/ (/ 0.3333333333333333 N) (* N N)))) (- (sqrt (/ (/ 0.3333333333333333 N) (* N N))) (sqrt (/ 0.5 (* N N)))) (+ (/ (sqrt (/ 0.3333333333333333 N)) N) (sqrt (/ 0.5 (* N N)))) (- (/ (sqrt (/ 0.3333333333333333 N)) N) (sqrt (/ 0.5 (* N N)))) (+ (sqrt (/ 0.5 (* N N))) (/ (/ (sqrt 0.3333333333333333) N) (sqrt N))) (- (/ (/ (sqrt 0.3333333333333333) N) (sqrt N)) (sqrt (/ 0.5 (* N N)))) (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (- (- (/ (/ 0.3333333333333333 N) (* N N)) (log (cbrt (exp (/ 0.5 (* N N)))))) (log (cbrt (exp (/ 0.5 (* N N)))))) (- (/ (/ 0.3333333333333333 N) (* N N)) (log (sqrt (exp (/ 0.5 (* N N)))))) (/ (/ 0.3333333333333333 N) (* N N)) (/ (- 0.5) (* N N)) (log (* (cbrt (exp (/ 0.5 (* N N)))) (cbrt (exp (/ 0.5 (* N N)))))) (log (cbrt (exp (/ 0.5 (* N N))))) (log (sqrt (exp (/ 0.5 (* N N))))) (log (sqrt (exp (/ 0.5 (* N N))))) 0 (/ 0.5 (* N N)) (/ 0.5 (* N N)) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N)))) (sqrt (/ 0.5 (* N N))) (/ (cbrt 0.5) (/ N (cbrt 0.5))) (/ (sqrt 0.5) N) (/ 1 N) 1 0.5 (log (/ 0.5 (* N N))) (exp (/ 0.5 (* N N))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N)))) (cbrt (/ 0.5 (* N N))) (* (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N))) (log (/ 0.5 (* N N))) (log (/ 0.5 (* N N))) (log (/ 0.5 (* N N))) (exp (/ 0.5 (* N N))) (* (/ 0.5 (* N N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N)))) (* (/ 0.5 (* N N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N)))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N)))) (cbrt (/ 0.5 (* N N))) (* (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N))) (- 0.5) (* (- N) N) (/ (cbrt 0.5) (/ N (cbrt 0.5))) (/ (cbrt 0.5) N) (/ (sqrt 0.5) N) (/ (sqrt 0.5) N) (/ 1 N) (/ 0.5 N) (/ (/ 1 N) N) (* (/ N 0.5) N) (/ 0.5 N) (/ N (/ (cbrt 0.5) N)) (* (/ N (sqrt 0.5)) N) (* (/ N 0.5) N) (log (/ (/ 0.3333333333333333 N) (* N N))) (log (/ (/ 0.3333333333333333 N) (* N N))) (log (/ (/ 0.3333333333333333 N) (* N N))) (log (/ (/ 0.3333333333333333 N) (* N N))) (log (/ (/ 0.3333333333333333 N) (* N N))) (exp (/ (/ 0.3333333333333333 N) (* N N))) (* (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (/ (/ 0.3333333333333333 N) (* N N))) (* (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (/ (/ 0.3333333333333333 N) (* N N))) (* (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (/ (/ 0.3333333333333333 N) (* N N))) (* (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (/ (/ 0.3333333333333333 N) (* N N))) (* (cbrt (/ (/ 0.3333333333333333 N) (* N N))) (cbrt (/ (/ 0.3333333333333333 N) (* N N)))) (cbrt (/ (/ 0.3333333333333333 N) (* N N))) (* (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (/ (/ 0.3333333333333333 N) (* N N))) (sqrt (/ (/ 0.3333333333333333 N) (* N N))) (sqrt (/ (/ 0.3333333333333333 N) (* N N))) (/ (- 0.3333333333333333) N) (* (- N) N) (/ (* (cbrt (/ 0.3333333333333333 N)) (cbrt (/ 0.3333333333333333 N))) N) (/ (cbrt (/ 0.3333333333333333 N)) N) (/ (sqrt (/ 0.3333333333333333 N)) N) (/ (sqrt (/ 0.3333333333333333 N)) N) (/ (* (/ (cbrt 0.3333333333333333) (cbrt N)) (/ (cbrt 0.3333333333333333) (cbrt N))) N) (/ (cbrt 0.3333333333333333) (* (cbrt N) N)) (/ (cbrt 0.3333333333333333) (/ (* (sqrt N) N) (cbrt 0.3333333333333333))) (/ (/ (cbrt 0.3333333333333333) N) (sqrt N)) (* (/ (cbrt 0.3333333333333333) N) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) (* N N)) (/ (/ (sqrt 0.3333333333333333) N) (* (cbrt N) (cbrt N))) (/ (/ (sqrt 0.3333333333333333) N) (cbrt N)) (/ (/ (sqrt 0.3333333333333333) N) (sqrt N)) (/ (/ (sqrt 0.3333333333333333) N) (sqrt N)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* N N)) (/ (/ (/ 1 (cbrt N)) (cbrt N)) N) (/ 0.3333333333333333 (* (cbrt N) N)) (/ (/ 1 N) (sqrt N)) (/ (/ 0.3333333333333333 N) (sqrt N)) (/ 1 N) (/ (/ 0.3333333333333333 N) N) (/ 1 N) (/ (/ 0.3333333333333333 N) N) (/ 0.3333333333333333 N) (/ (/ 1 N) N) (/ (/ 1 N) N) (/ (* N N) (/ 0.3333333333333333 N)) (/ (/ 0.3333333333333333 N) N) (/ (* N N) (cbrt (/ 0.3333333333333333 N))) (/ (* N N) (sqrt (/ 0.3333333333333333 N))) (/ (* (* N N) (cbrt N)) (cbrt 0.3333333333333333)) (* (/ N (/ (cbrt 0.3333333333333333) N)) (sqrt N)) (/ (* N (* N N)) (cbrt 0.3333333333333333)) (* (/ (* N N) (sqrt 0.3333333333333333)) (cbrt N)) (/ N (/ (/ (sqrt 0.3333333333333333) N) (sqrt N))) (* (/ N (sqrt 0.3333333333333333)) (* N N)) (/ (* N N) (/ 0.3333333333333333 (cbrt N))) (/ (* (* N N) (sqrt N)) 0.3333333333333333) (/ (* N N) (/ 0.3333333333333333 N)) (/ (* N N) (/ 0.3333333333333333 N)) (* N (* N N)) (* N (* N N)) (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (/ 0.5 (* N N)) (/ 0.5 (* N N)) (/ 0.5 (* N N)) (/ 0.5 (* N N)) (/ 0.5 (* N N)) (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N)) 7.885 * * * [progress]: adding candidates to table 8.378 * * [progress]: iteration 4 / 4 8.378 * * * [progress]: picking best candidate 8.392 * * * * [pick]: Picked # 8.392 * * * [progress]: localizing error 8.477 * * * [progress]: generating rewritten candidates 8.477 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 8.631 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 8.801 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 8.984 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 9.026 * * * [progress]: generating series expansions 9.026 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 9.026 * [backup-simplify]: Simplify (cbrt (+ (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (/ 1.0 N))) into (pow (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 1/3) 9.026 * [approximate]: Taking taylor expansion of (pow (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 1/3) in (N) around 0 9.026 * [taylor]: Taking taylor expansion of (pow (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 1/3) in N 9.026 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2))))))) in N 9.026 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))))) in N 9.027 * [taylor]: Taking taylor expansion of 1/3 in N 9.027 * [backup-simplify]: Simplify 1/3 into 1/3 9.027 * [taylor]: Taking taylor expansion of (log (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2))))) in N 9.027 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N 9.027 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 9.027 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 9.027 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 9.027 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.027 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 9.027 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.027 * [taylor]: Taking taylor expansion of N in N 9.027 * [backup-simplify]: Simplify 0 into 0 9.027 * [backup-simplify]: Simplify 1 into 1 9.027 * [backup-simplify]: Simplify (* 1 1) into 1 9.028 * [backup-simplify]: Simplify (* 1 1) into 1 9.028 * [backup-simplify]: Simplify (/ 1 1) into 1 9.028 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 9.028 * [taylor]: Taking taylor expansion of 1.0 in N 9.028 * [backup-simplify]: Simplify 1.0 into 1.0 9.028 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.028 * [taylor]: Taking taylor expansion of N in N 9.028 * [backup-simplify]: Simplify 0 into 0 9.028 * [backup-simplify]: Simplify 1 into 1 9.028 * [backup-simplify]: Simplify (/ 1 1) into 1 9.028 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 9.028 * [taylor]: Taking taylor expansion of 0.5 in N 9.028 * [backup-simplify]: Simplify 0.5 into 0.5 9.028 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 9.028 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.028 * [taylor]: Taking taylor expansion of N in N 9.028 * [backup-simplify]: Simplify 0 into 0 9.028 * [backup-simplify]: Simplify 1 into 1 9.029 * [backup-simplify]: Simplify (* 1 1) into 1 9.029 * [backup-simplify]: Simplify (/ 1 1) into 1 9.029 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 9.029 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 9.030 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 9.030 * [backup-simplify]: Simplify (log 0.3333333333333333) into (log 0.3333333333333333) 9.030 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 0.3333333333333333)) into (- (log 0.3333333333333333) (* 3 (log N))) 9.031 * [backup-simplify]: Simplify (* 1/3 (- (log 0.3333333333333333) (* 3 (log N)))) into (* 1/3 (- (log 0.3333333333333333) (* 3 (log N)))) 9.031 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) into (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) 9.031 * [taylor]: Taking taylor expansion of (pow (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 1/3) in N 9.031 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2))))))) in N 9.031 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))))) in N 9.031 * [taylor]: Taking taylor expansion of 1/3 in N 9.031 * [backup-simplify]: Simplify 1/3 into 1/3 9.031 * [taylor]: Taking taylor expansion of (log (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2))))) in N 9.031 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N 9.031 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 9.031 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 9.031 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 9.031 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.031 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 9.031 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.031 * [taylor]: Taking taylor expansion of N in N 9.031 * [backup-simplify]: Simplify 0 into 0 9.031 * [backup-simplify]: Simplify 1 into 1 9.032 * [backup-simplify]: Simplify (* 1 1) into 1 9.032 * [backup-simplify]: Simplify (* 1 1) into 1 9.032 * [backup-simplify]: Simplify (/ 1 1) into 1 9.032 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 9.032 * [taylor]: Taking taylor expansion of 1.0 in N 9.032 * [backup-simplify]: Simplify 1.0 into 1.0 9.032 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.032 * [taylor]: Taking taylor expansion of N in N 9.032 * [backup-simplify]: Simplify 0 into 0 9.032 * [backup-simplify]: Simplify 1 into 1 9.032 * [backup-simplify]: Simplify (/ 1 1) into 1 9.032 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 9.033 * [taylor]: Taking taylor expansion of 0.5 in N 9.033 * [backup-simplify]: Simplify 0.5 into 0.5 9.033 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 9.033 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.033 * [taylor]: Taking taylor expansion of N in N 9.033 * [backup-simplify]: Simplify 0 into 0 9.033 * [backup-simplify]: Simplify 1 into 1 9.033 * [backup-simplify]: Simplify (* 1 1) into 1 9.033 * [backup-simplify]: Simplify (/ 1 1) into 1 9.033 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 9.034 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 9.034 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 9.034 * [backup-simplify]: Simplify (log 0.3333333333333333) into (log 0.3333333333333333) 9.035 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 0.3333333333333333)) into (- (log 0.3333333333333333) (* 3 (log N))) 9.035 * [backup-simplify]: Simplify (* 1/3 (- (log 0.3333333333333333) (* 3 (log N)))) into (* 1/3 (- (log 0.3333333333333333) (* 3 (log N)))) 9.035 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) into (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) 9.036 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) into (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) 9.036 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.037 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.038 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 9.038 * [backup-simplify]: Simplify (+ 0 0) into 0 9.038 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 9.038 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 9.039 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 9.047 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 0.5)) 1)) (pow 0.3333333333333333 1)))) 1) into -1.5 9.048 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 0.3333333333333333)) into (- (log 0.3333333333333333) (* 3 (log N))) 9.048 * [backup-simplify]: Simplify (+ (* 1/3 -1.5) (* 0 (- (log 0.3333333333333333) (* 3 (log N))))) into (- 0.5) 9.051 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (+ (* (/ (pow (- 0.5) 1) 1)))) into (* -0.5 (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N)))))) 9.051 * [backup-simplify]: Simplify (* -0.5 (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N)))))) into (* -0.5 (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N)))))) 9.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.053 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.054 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 9.054 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 9.055 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.055 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.056 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 9.056 * [backup-simplify]: Simplify (- 0) into 0 9.057 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.069 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 0.5)) 2)) (pow 0.3333333333333333 2))) (* 1 (/ (* 1 (pow (* 2 1.0) 1)) (pow 0.3333333333333333 1)))) 2) into (* 1/2 (- 6.0 (* 0.25 (/ 1 (pow 0.3333333333333333 2))))) 9.070 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 0.3333333333333333)) into (- (log 0.3333333333333333) (* 3 (log N))) 9.074 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- 6.0 (* 0.25 (/ 1 (pow 0.3333333333333333 2)))))) (+ (* 0 -1.5) (* 0 (- (log 0.3333333333333333) (* 3 (log N)))))) into (- 1.0 (* 0.041666666666666664 (/ 1 (pow 0.3333333333333333 2)))) 9.081 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (+ (* (/ (pow (- 0.5) 2) 2)) (* (/ (pow (- 1.0 (* 0.041666666666666664 (/ 1 (pow 0.3333333333333333 2)))) 1) 1)))) into (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (- 1.125 (* 0.041666666666666664 (/ 1 (pow 0.3333333333333333 2))))) 9.084 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (- 1.125 (* 0.041666666666666664 (/ 1 (pow 0.3333333333333333 2))))) into (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (- 1.125 (* 0.041666666666666664 (/ 1 (pow 0.3333333333333333 2))))) 9.087 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (- 1.125 (* 0.041666666666666664 (/ 1 (pow 0.3333333333333333 2))))) (pow N 2)) (+ (* (* -0.5 (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N)))))) N) (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))))) into (- (+ (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (* 1.125 (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (pow N 2)))) (+ (* 0.5 (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) N)) (* 0.041666666666666664 (/ (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (pow N 2)) (pow 0.3333333333333333 2))))) 9.087 * [backup-simplify]: Simplify (cbrt (+ (- (/ (/ 0.3333333333333333 (/ 1 N)) (* (/ 1 N) (/ 1 N))) (/ 0.5 (* (/ 1 N) (/ 1 N)))) (/ 1.0 (/ 1 N)))) into (pow (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) 1/3) 9.087 * [approximate]: Taking taylor expansion of (pow (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) 1/3) in (N) around 0 9.087 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) 1/3) in N 9.087 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2)))))) in N 9.087 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))))) in N 9.087 * [taylor]: Taking taylor expansion of 1/3 in N 9.087 * [backup-simplify]: Simplify 1/3 into 1/3 9.087 * [taylor]: Taking taylor expansion of (log (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2)))) in N 9.087 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 9.087 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 9.087 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 9.087 * [taylor]: Taking taylor expansion of 1.0 in N 9.087 * [backup-simplify]: Simplify 1.0 into 1.0 9.087 * [taylor]: Taking taylor expansion of N in N 9.087 * [backup-simplify]: Simplify 0 into 0 9.087 * [backup-simplify]: Simplify 1 into 1 9.087 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 9.087 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 9.087 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.087 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.087 * [taylor]: Taking taylor expansion of N in N 9.087 * [backup-simplify]: Simplify 0 into 0 9.087 * [backup-simplify]: Simplify 1 into 1 9.087 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 9.087 * [taylor]: Taking taylor expansion of 0.5 in N 9.087 * [backup-simplify]: Simplify 0.5 into 0.5 9.087 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.087 * [taylor]: Taking taylor expansion of N in N 9.088 * [backup-simplify]: Simplify 0 into 0 9.088 * [backup-simplify]: Simplify 1 into 1 9.088 * [backup-simplify]: Simplify (* 1.0 0) into 0 9.088 * [backup-simplify]: Simplify (+ 0 0) into 0 9.088 * [backup-simplify]: Simplify (+ 0 0) into 0 9.089 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 9.089 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.090 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.090 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 9.091 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 9.091 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 9.091 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 9.091 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) 1/3) in N 9.091 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2)))))) in N 9.091 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))))) in N 9.091 * [taylor]: Taking taylor expansion of 1/3 in N 9.091 * [backup-simplify]: Simplify 1/3 into 1/3 9.091 * [taylor]: Taking taylor expansion of (log (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2)))) in N 9.091 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 9.091 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 9.091 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 9.091 * [taylor]: Taking taylor expansion of 1.0 in N 9.091 * [backup-simplify]: Simplify 1.0 into 1.0 9.092 * [taylor]: Taking taylor expansion of N in N 9.092 * [backup-simplify]: Simplify 0 into 0 9.092 * [backup-simplify]: Simplify 1 into 1 9.092 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 9.092 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 9.092 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.092 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.092 * [taylor]: Taking taylor expansion of N in N 9.092 * [backup-simplify]: Simplify 0 into 0 9.092 * [backup-simplify]: Simplify 1 into 1 9.092 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 9.092 * [taylor]: Taking taylor expansion of 0.5 in N 9.092 * [backup-simplify]: Simplify 0.5 into 0.5 9.092 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.092 * [taylor]: Taking taylor expansion of N in N 9.092 * [backup-simplify]: Simplify 0 into 0 9.092 * [backup-simplify]: Simplify 1 into 1 9.092 * [backup-simplify]: Simplify (* 1.0 0) into 0 9.092 * [backup-simplify]: Simplify (+ 0 0) into 0 9.093 * [backup-simplify]: Simplify (+ 0 0) into 0 9.093 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 9.094 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.094 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.095 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 9.095 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 9.095 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 9.096 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 9.096 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 9.097 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 9.097 * [backup-simplify]: Simplify (+ 0 0) into 0 9.097 * [backup-simplify]: Simplify (* 1 1) into 1 9.098 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 9.098 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 9.098 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 9.106 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 0.5)) 1)) (pow 1.0 1)))) 1) into -0.5 9.107 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 9.108 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (* 0 (+ (log 1.0) (log N)))) into (- 0.16666666666666666) 9.112 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log N))))) 9.112 * [backup-simplify]: Simplify (* -0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* -0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log N))))) 9.114 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.114 * [backup-simplify]: Simplify (* 1 1) into 1 9.114 * [backup-simplify]: Simplify (* 1 1) into 1 9.115 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 9.115 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 9.116 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.117 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 9.117 * [backup-simplify]: Simplify (- 0) into 0 9.117 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 9.135 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 0.5)) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0.3333333333333333) 1)) (pow 1.0 1)))) 2) into (* 1/2 (- 0.6666666666666666 (* 0.25 (/ 1 (pow 1.0 2))))) 9.136 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 9.143 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- 0.6666666666666666 (* 0.25 (/ 1 (pow 1.0 2)))))) (+ (* 0 -0.5) (* 0 (+ (log 1.0) (log N))))) into (- 0.1111111111111111 (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) 9.156 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow (- 0.16666666666666666) 2) 2)) (* (/ (pow (- 0.1111111111111111 (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.125 (* 0.041666666666666664 (/ 1 (pow 1.0 2))))) 9.160 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.125 (* 0.041666666666666664 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.125 (* 0.041666666666666664 (/ 1 (pow 1.0 2))))) 9.165 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))) (- 0.125 (* 0.041666666666666664 (/ 1 (pow 1.0 2))))) (pow (/ 1 N) 2)) (+ (* (* -0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log (/ 1 N)))))) (/ 1 N)) (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))))) into (- (+ (exp (* 1/3 (+ (log (/ 1 N)) (log 1.0)))) (* 0.125 (/ (exp (* 1/3 (+ (log (/ 1 N)) (log 1.0)))) (pow N 2)))) (+ (* 0.041666666666666664 (/ (exp (* 1/3 (+ (log (/ 1 N)) (log 1.0)))) (* (pow 1.0 2) (pow N 2)))) (* 0.16666666666666666 (/ (exp (* 1/3 (+ (log (/ 1 N)) (log 1.0)))) N)))) 9.166 * [backup-simplify]: Simplify (cbrt (+ (- (/ (/ 0.3333333333333333 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N)))) (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N))))) (/ 1.0 (/ 1 (- N))))) into (* (cbrt -1) (pow (+ (* 1.0 N) (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2)))) 1/3)) 9.166 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (+ (* 1.0 N) (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2)))) 1/3)) in (N) around 0 9.166 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (* 1.0 N) (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2)))) 1/3)) in N 9.166 * [taylor]: Taking taylor expansion of (cbrt -1) in N 9.166 * [taylor]: Taking taylor expansion of -1 in N 9.166 * [backup-simplify]: Simplify -1 into -1 9.167 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 9.168 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 9.168 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 N) (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2)))) 1/3) in N 9.168 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1.0 N) (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))))))) in N 9.168 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1.0 N) (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2)))))) in N 9.168 * [taylor]: Taking taylor expansion of 1/3 in N 9.168 * [backup-simplify]: Simplify 1/3 into 1/3 9.168 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 N) (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))))) in N 9.168 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2)))) in N 9.168 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 9.168 * [taylor]: Taking taylor expansion of 1.0 in N 9.168 * [backup-simplify]: Simplify 1.0 into 1.0 9.168 * [taylor]: Taking taylor expansion of N in N 9.168 * [backup-simplify]: Simplify 0 into 0 9.168 * [backup-simplify]: Simplify 1 into 1 9.168 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in N 9.168 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 9.168 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 9.168 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.168 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.168 * [taylor]: Taking taylor expansion of N in N 9.168 * [backup-simplify]: Simplify 0 into 0 9.168 * [backup-simplify]: Simplify 1 into 1 9.168 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 9.168 * [taylor]: Taking taylor expansion of 0.5 in N 9.168 * [backup-simplify]: Simplify 0.5 into 0.5 9.169 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.169 * [taylor]: Taking taylor expansion of N in N 9.169 * [backup-simplify]: Simplify 0 into 0 9.169 * [backup-simplify]: Simplify 1 into 1 9.169 * [backup-simplify]: Simplify (* 1.0 0) into 0 9.170 * [backup-simplify]: Simplify (+ 0 0) into 0 9.172 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 9.172 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.172 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 9.173 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 9.174 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 9.174 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 9.174 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (* 1.0 N) (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2)))) 1/3)) in N 9.174 * [taylor]: Taking taylor expansion of (cbrt -1) in N 9.174 * [taylor]: Taking taylor expansion of -1 in N 9.175 * [backup-simplify]: Simplify -1 into -1 9.175 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 9.176 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 9.176 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 N) (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2)))) 1/3) in N 9.176 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1.0 N) (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))))))) in N 9.176 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1.0 N) (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2)))))) in N 9.176 * [taylor]: Taking taylor expansion of 1/3 in N 9.176 * [backup-simplify]: Simplify 1/3 into 1/3 9.176 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 N) (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))))) in N 9.176 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2)))) in N 9.176 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 9.176 * [taylor]: Taking taylor expansion of 1.0 in N 9.176 * [backup-simplify]: Simplify 1.0 into 1.0 9.176 * [taylor]: Taking taylor expansion of N in N 9.176 * [backup-simplify]: Simplify 0 into 0 9.176 * [backup-simplify]: Simplify 1 into 1 9.176 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in N 9.176 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 9.176 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 9.176 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.176 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.176 * [taylor]: Taking taylor expansion of N in N 9.176 * [backup-simplify]: Simplify 0 into 0 9.176 * [backup-simplify]: Simplify 1 into 1 9.176 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 9.176 * [taylor]: Taking taylor expansion of 0.5 in N 9.176 * [backup-simplify]: Simplify 0.5 into 0.5 9.177 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.177 * [taylor]: Taking taylor expansion of N in N 9.177 * [backup-simplify]: Simplify 0 into 0 9.177 * [backup-simplify]: Simplify 1 into 1 9.177 * [backup-simplify]: Simplify (* 1.0 0) into 0 9.177 * [backup-simplify]: Simplify (+ 0 0) into 0 9.179 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 9.179 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.180 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 9.181 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 9.181 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 9.182 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 9.183 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log N))))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (cbrt -1)) 9.184 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (cbrt -1)) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (cbrt -1)) 9.185 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 9.185 * [backup-simplify]: Simplify (* 1 1) into 1 9.186 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 9.186 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 9.187 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 9.201 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0.5) 1)) (pow 1.0 1)))) 1) into 0.5 9.202 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 9.203 * [backup-simplify]: Simplify (+ (* 1/3 0.5) (* 0 (+ (log 1.0) (log N)))) into 0.16666666666666666 9.206 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.16666666666666666 1) 1)))) into (* 0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log N))))) 9.207 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* 0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log N)))))) (* 0 (exp (* 1/3 (+ (log 1.0) (log N)))))) into (* 0.16666666666666666 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (cbrt -1))) 9.208 * [backup-simplify]: Simplify (* 0.16666666666666666 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (cbrt -1))) into (* 0.16666666666666666 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (cbrt -1))) 9.210 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.210 * [backup-simplify]: Simplify (* 1 1) into 1 9.210 * [backup-simplify]: Simplify (* 1 1) into 1 9.211 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 9.211 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.212 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 9.213 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 9.213 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 9.229 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0.5) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0.3333333333333333) 1)) (pow 1.0 1)))) 2) into (* 1/2 (- 0.6666666666666666 (* 0.25 (/ 1 (pow 1.0 2))))) 9.230 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 9.237 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- 0.6666666666666666 (* 0.25 (/ 1 (pow 1.0 2)))))) (+ (* 0 0.5) (* 0 (+ (log 1.0) (log N))))) into (- 0.1111111111111111 (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) 9.248 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.16666666666666666 2) 2)) (* (/ (pow (- 0.1111111111111111 (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.125 (* 0.041666666666666664 (/ 1 (pow 1.0 2))))) 9.250 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 9.255 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.125 (* 0.041666666666666664 (/ 1 (pow 1.0 2)))))) (+ (* 0 (* 0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log N)))))) (* 0 (exp (* 1/3 (+ (log 1.0) (log N))))))) into (- (* 0.125 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (cbrt -1))) (* 0.041666666666666664 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (cbrt -1)) (pow 1.0 2)))) 9.258 * [backup-simplify]: Simplify (- (* 0.125 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (cbrt -1))) (* 0.041666666666666664 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (cbrt -1)) (pow 1.0 2)))) into (- (* 0.125 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (cbrt -1))) (* 0.041666666666666664 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (cbrt -1)) (pow 1.0 2)))) 9.264 * [backup-simplify]: Simplify (+ (* (- (* 0.125 (* (exp (* 1/3 (+ (log 1.0) (log (/ 1 (- N)))))) (cbrt -1))) (* 0.041666666666666664 (/ (* (exp (* 1/3 (+ (log 1.0) (log (/ 1 (- N)))))) (cbrt -1)) (pow 1.0 2)))) (pow (/ 1 (- N)) 2)) (+ (* (* 0.16666666666666666 (* (exp (* 1/3 (+ (log 1.0) (log (/ 1 (- N)))))) (cbrt -1))) (/ 1 (- N))) (* (exp (* 1/3 (+ (log 1.0) (log (/ 1 (- N)))))) (cbrt -1)))) into (- (+ (* (exp (* 1/3 (+ (log 1.0) (log (/ -1 N))))) (cbrt -1)) (* 0.125 (/ (* (exp (* 1/3 (+ (log 1.0) (log (/ -1 N))))) (cbrt -1)) (pow N 2)))) (+ (* 0.041666666666666664 (/ (* (exp (* 1/3 (+ (log 1.0) (log (/ -1 N))))) (cbrt -1)) (* (pow N 2) (pow 1.0 2)))) (* 0.16666666666666666 (/ (* (exp (* 1/3 (+ (log 1.0) (log (/ -1 N))))) (cbrt -1)) N)))) 9.264 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 9.265 * [backup-simplify]: Simplify (cbrt (+ (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (/ 1.0 N))) into (pow (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 1/3) 9.265 * [approximate]: Taking taylor expansion of (pow (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 1/3) in (N) around 0 9.265 * [taylor]: Taking taylor expansion of (pow (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 1/3) in N 9.265 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2))))))) in N 9.265 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))))) in N 9.265 * [taylor]: Taking taylor expansion of 1/3 in N 9.265 * [backup-simplify]: Simplify 1/3 into 1/3 9.265 * [taylor]: Taking taylor expansion of (log (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2))))) in N 9.265 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N 9.265 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 9.265 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 9.265 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 9.265 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.265 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 9.265 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.265 * [taylor]: Taking taylor expansion of N in N 9.265 * [backup-simplify]: Simplify 0 into 0 9.265 * [backup-simplify]: Simplify 1 into 1 9.265 * [backup-simplify]: Simplify (* 1 1) into 1 9.266 * [backup-simplify]: Simplify (* 1 1) into 1 9.266 * [backup-simplify]: Simplify (/ 1 1) into 1 9.266 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 9.266 * [taylor]: Taking taylor expansion of 1.0 in N 9.266 * [backup-simplify]: Simplify 1.0 into 1.0 9.266 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.266 * [taylor]: Taking taylor expansion of N in N 9.266 * [backup-simplify]: Simplify 0 into 0 9.266 * [backup-simplify]: Simplify 1 into 1 9.267 * [backup-simplify]: Simplify (/ 1 1) into 1 9.267 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 9.267 * [taylor]: Taking taylor expansion of 0.5 in N 9.267 * [backup-simplify]: Simplify 0.5 into 0.5 9.267 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 9.267 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.267 * [taylor]: Taking taylor expansion of N in N 9.267 * [backup-simplify]: Simplify 0 into 0 9.267 * [backup-simplify]: Simplify 1 into 1 9.267 * [backup-simplify]: Simplify (* 1 1) into 1 9.268 * [backup-simplify]: Simplify (/ 1 1) into 1 9.268 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 9.269 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 9.269 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 9.270 * [backup-simplify]: Simplify (log 0.3333333333333333) into (log 0.3333333333333333) 9.270 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 0.3333333333333333)) into (- (log 0.3333333333333333) (* 3 (log N))) 9.271 * [backup-simplify]: Simplify (* 1/3 (- (log 0.3333333333333333) (* 3 (log N)))) into (* 1/3 (- (log 0.3333333333333333) (* 3 (log N)))) 9.271 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) into (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) 9.271 * [taylor]: Taking taylor expansion of (pow (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 1/3) in N 9.272 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2))))))) in N 9.272 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))))) in N 9.272 * [taylor]: Taking taylor expansion of 1/3 in N 9.272 * [backup-simplify]: Simplify 1/3 into 1/3 9.272 * [taylor]: Taking taylor expansion of (log (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2))))) in N 9.272 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N 9.272 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 9.272 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 9.272 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 9.272 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.272 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 9.272 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.272 * [taylor]: Taking taylor expansion of N in N 9.272 * [backup-simplify]: Simplify 0 into 0 9.272 * [backup-simplify]: Simplify 1 into 1 9.272 * [backup-simplify]: Simplify (* 1 1) into 1 9.273 * [backup-simplify]: Simplify (* 1 1) into 1 9.273 * [backup-simplify]: Simplify (/ 1 1) into 1 9.273 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 9.273 * [taylor]: Taking taylor expansion of 1.0 in N 9.273 * [backup-simplify]: Simplify 1.0 into 1.0 9.273 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.273 * [taylor]: Taking taylor expansion of N in N 9.273 * [backup-simplify]: Simplify 0 into 0 9.273 * [backup-simplify]: Simplify 1 into 1 9.274 * [backup-simplify]: Simplify (/ 1 1) into 1 9.274 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 9.274 * [taylor]: Taking taylor expansion of 0.5 in N 9.274 * [backup-simplify]: Simplify 0.5 into 0.5 9.274 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 9.274 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.274 * [taylor]: Taking taylor expansion of N in N 9.274 * [backup-simplify]: Simplify 0 into 0 9.274 * [backup-simplify]: Simplify 1 into 1 9.274 * [backup-simplify]: Simplify (* 1 1) into 1 9.275 * [backup-simplify]: Simplify (/ 1 1) into 1 9.275 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 9.275 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 9.276 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 9.276 * [backup-simplify]: Simplify (log 0.3333333333333333) into (log 0.3333333333333333) 9.277 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 0.3333333333333333)) into (- (log 0.3333333333333333) (* 3 (log N))) 9.278 * [backup-simplify]: Simplify (* 1/3 (- (log 0.3333333333333333) (* 3 (log N)))) into (* 1/3 (- (log 0.3333333333333333) (* 3 (log N)))) 9.278 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) into (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) 9.279 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) into (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) 9.280 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.280 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.282 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 9.282 * [backup-simplify]: Simplify (+ 0 0) into 0 9.283 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 9.283 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 9.284 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 9.292 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 0.5)) 1)) (pow 0.3333333333333333 1)))) 1) into -1.5 9.293 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 0.3333333333333333)) into (- (log 0.3333333333333333) (* 3 (log N))) 9.294 * [backup-simplify]: Simplify (+ (* 1/3 -1.5) (* 0 (- (log 0.3333333333333333) (* 3 (log N))))) into (- 0.5) 9.298 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (+ (* (/ (pow (- 0.5) 1) 1)))) into (* -0.5 (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N)))))) 9.298 * [backup-simplify]: Simplify (* -0.5 (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N)))))) into (* -0.5 (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N)))))) 9.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.302 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 9.303 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 9.303 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.304 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.305 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 9.306 * [backup-simplify]: Simplify (- 0) into 0 9.306 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.323 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 0.5)) 2)) (pow 0.3333333333333333 2))) (* 1 (/ (* 1 (pow (* 2 1.0) 1)) (pow 0.3333333333333333 1)))) 2) into (* 1/2 (- 6.0 (* 0.25 (/ 1 (pow 0.3333333333333333 2))))) 9.324 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 0.3333333333333333)) into (- (log 0.3333333333333333) (* 3 (log N))) 9.328 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- 6.0 (* 0.25 (/ 1 (pow 0.3333333333333333 2)))))) (+ (* 0 -1.5) (* 0 (- (log 0.3333333333333333) (* 3 (log N)))))) into (- 1.0 (* 0.041666666666666664 (/ 1 (pow 0.3333333333333333 2)))) 9.340 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (+ (* (/ (pow (- 0.5) 2) 2)) (* (/ (pow (- 1.0 (* 0.041666666666666664 (/ 1 (pow 0.3333333333333333 2)))) 1) 1)))) into (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (- 1.125 (* 0.041666666666666664 (/ 1 (pow 0.3333333333333333 2))))) 9.342 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (- 1.125 (* 0.041666666666666664 (/ 1 (pow 0.3333333333333333 2))))) into (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (- 1.125 (* 0.041666666666666664 (/ 1 (pow 0.3333333333333333 2))))) 9.345 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (- 1.125 (* 0.041666666666666664 (/ 1 (pow 0.3333333333333333 2))))) (pow N 2)) (+ (* (* -0.5 (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N)))))) N) (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))))) into (- (+ (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (* 1.125 (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (pow N 2)))) (+ (* 0.5 (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) N)) (* 0.041666666666666664 (/ (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (pow N 2)) (pow 0.3333333333333333 2))))) 9.346 * [backup-simplify]: Simplify (cbrt (+ (- (/ (/ 0.3333333333333333 (/ 1 N)) (* (/ 1 N) (/ 1 N))) (/ 0.5 (* (/ 1 N) (/ 1 N)))) (/ 1.0 (/ 1 N)))) into (pow (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) 1/3) 9.346 * [approximate]: Taking taylor expansion of (pow (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) 1/3) in (N) around 0 9.346 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) 1/3) in N 9.346 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2)))))) in N 9.346 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))))) in N 9.346 * [taylor]: Taking taylor expansion of 1/3 in N 9.346 * [backup-simplify]: Simplify 1/3 into 1/3 9.346 * [taylor]: Taking taylor expansion of (log (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2)))) in N 9.346 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 9.346 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 9.346 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 9.346 * [taylor]: Taking taylor expansion of 1.0 in N 9.346 * [backup-simplify]: Simplify 1.0 into 1.0 9.346 * [taylor]: Taking taylor expansion of N in N 9.346 * [backup-simplify]: Simplify 0 into 0 9.346 * [backup-simplify]: Simplify 1 into 1 9.346 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 9.346 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 9.346 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.346 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.346 * [taylor]: Taking taylor expansion of N in N 9.346 * [backup-simplify]: Simplify 0 into 0 9.346 * [backup-simplify]: Simplify 1 into 1 9.346 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 9.346 * [taylor]: Taking taylor expansion of 0.5 in N 9.346 * [backup-simplify]: Simplify 0.5 into 0.5 9.346 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.346 * [taylor]: Taking taylor expansion of N in N 9.346 * [backup-simplify]: Simplify 0 into 0 9.346 * [backup-simplify]: Simplify 1 into 1 9.346 * [backup-simplify]: Simplify (* 1.0 0) into 0 9.347 * [backup-simplify]: Simplify (+ 0 0) into 0 9.347 * [backup-simplify]: Simplify (+ 0 0) into 0 9.348 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 9.348 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.348 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.349 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 9.349 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 9.349 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 9.350 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 9.350 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) 1/3) in N 9.350 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2)))))) in N 9.350 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))))) in N 9.350 * [taylor]: Taking taylor expansion of 1/3 in N 9.350 * [backup-simplify]: Simplify 1/3 into 1/3 9.350 * [taylor]: Taking taylor expansion of (log (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2)))) in N 9.350 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 9.350 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 9.350 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 9.350 * [taylor]: Taking taylor expansion of 1.0 in N 9.350 * [backup-simplify]: Simplify 1.0 into 1.0 9.350 * [taylor]: Taking taylor expansion of N in N 9.350 * [backup-simplify]: Simplify 0 into 0 9.350 * [backup-simplify]: Simplify 1 into 1 9.350 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 9.350 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 9.350 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.350 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.350 * [taylor]: Taking taylor expansion of N in N 9.350 * [backup-simplify]: Simplify 0 into 0 9.350 * [backup-simplify]: Simplify 1 into 1 9.350 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 9.350 * [taylor]: Taking taylor expansion of 0.5 in N 9.350 * [backup-simplify]: Simplify 0.5 into 0.5 9.350 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.350 * [taylor]: Taking taylor expansion of N in N 9.350 * [backup-simplify]: Simplify 0 into 0 9.350 * [backup-simplify]: Simplify 1 into 1 9.351 * [backup-simplify]: Simplify (* 1.0 0) into 0 9.351 * [backup-simplify]: Simplify (+ 0 0) into 0 9.351 * [backup-simplify]: Simplify (+ 0 0) into 0 9.352 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 9.352 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.352 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.353 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 9.353 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 9.354 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 9.354 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 9.354 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 9.355 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 9.355 * [backup-simplify]: Simplify (+ 0 0) into 0 9.355 * [backup-simplify]: Simplify (* 1 1) into 1 9.356 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 9.356 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 9.356 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 9.361 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 0.5)) 1)) (pow 1.0 1)))) 1) into -0.5 9.362 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 9.362 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (* 0 (+ (log 1.0) (log N)))) into (- 0.16666666666666666) 9.365 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log N))))) 9.365 * [backup-simplify]: Simplify (* -0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* -0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log N))))) 9.366 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.367 * [backup-simplify]: Simplify (* 1 1) into 1 9.367 * [backup-simplify]: Simplify (* 1 1) into 1 9.368 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 9.368 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 9.369 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.369 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 9.370 * [backup-simplify]: Simplify (- 0) into 0 9.370 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 9.385 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 0.5)) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0.3333333333333333) 1)) (pow 1.0 1)))) 2) into (* 1/2 (- 0.6666666666666666 (* 0.25 (/ 1 (pow 1.0 2))))) 9.386 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 9.394 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- 0.6666666666666666 (* 0.25 (/ 1 (pow 1.0 2)))))) (+ (* 0 -0.5) (* 0 (+ (log 1.0) (log N))))) into (- 0.1111111111111111 (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) 9.407 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow (- 0.16666666666666666) 2) 2)) (* (/ (pow (- 0.1111111111111111 (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.125 (* 0.041666666666666664 (/ 1 (pow 1.0 2))))) 9.411 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.125 (* 0.041666666666666664 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.125 (* 0.041666666666666664 (/ 1 (pow 1.0 2))))) 9.416 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))) (- 0.125 (* 0.041666666666666664 (/ 1 (pow 1.0 2))))) (pow (/ 1 N) 2)) (+ (* (* -0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log (/ 1 N)))))) (/ 1 N)) (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))))) into (- (+ (exp (* 1/3 (+ (log (/ 1 N)) (log 1.0)))) (* 0.125 (/ (exp (* 1/3 (+ (log (/ 1 N)) (log 1.0)))) (pow N 2)))) (+ (* 0.041666666666666664 (/ (exp (* 1/3 (+ (log (/ 1 N)) (log 1.0)))) (* (pow 1.0 2) (pow N 2)))) (* 0.16666666666666666 (/ (exp (* 1/3 (+ (log (/ 1 N)) (log 1.0)))) N)))) 9.417 * [backup-simplify]: Simplify (cbrt (+ (- (/ (/ 0.3333333333333333 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N)))) (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N))))) (/ 1.0 (/ 1 (- N))))) into (* (cbrt -1) (pow (+ (* 1.0 N) (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2)))) 1/3)) 9.417 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (+ (* 1.0 N) (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2)))) 1/3)) in (N) around 0 9.417 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (* 1.0 N) (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2)))) 1/3)) in N 9.417 * [taylor]: Taking taylor expansion of (cbrt -1) in N 9.417 * [taylor]: Taking taylor expansion of -1 in N 9.417 * [backup-simplify]: Simplify -1 into -1 9.417 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 9.418 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 9.418 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 N) (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2)))) 1/3) in N 9.418 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1.0 N) (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))))))) in N 9.418 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1.0 N) (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2)))))) in N 9.418 * [taylor]: Taking taylor expansion of 1/3 in N 9.418 * [backup-simplify]: Simplify 1/3 into 1/3 9.418 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 N) (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))))) in N 9.418 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2)))) in N 9.418 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 9.418 * [taylor]: Taking taylor expansion of 1.0 in N 9.418 * [backup-simplify]: Simplify 1.0 into 1.0 9.418 * [taylor]: Taking taylor expansion of N in N 9.418 * [backup-simplify]: Simplify 0 into 0 9.418 * [backup-simplify]: Simplify 1 into 1 9.418 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in N 9.418 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 9.418 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 9.419 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.419 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.419 * [taylor]: Taking taylor expansion of N in N 9.419 * [backup-simplify]: Simplify 0 into 0 9.419 * [backup-simplify]: Simplify 1 into 1 9.419 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 9.419 * [taylor]: Taking taylor expansion of 0.5 in N 9.419 * [backup-simplify]: Simplify 0.5 into 0.5 9.419 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.419 * [taylor]: Taking taylor expansion of N in N 9.419 * [backup-simplify]: Simplify 0 into 0 9.419 * [backup-simplify]: Simplify 1 into 1 9.419 * [backup-simplify]: Simplify (* 1.0 0) into 0 9.420 * [backup-simplify]: Simplify (+ 0 0) into 0 9.421 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 9.421 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.422 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 9.423 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 9.423 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 9.424 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 9.424 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (* 1.0 N) (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2)))) 1/3)) in N 9.424 * [taylor]: Taking taylor expansion of (cbrt -1) in N 9.424 * [taylor]: Taking taylor expansion of -1 in N 9.424 * [backup-simplify]: Simplify -1 into -1 9.424 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 9.425 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 9.425 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 N) (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2)))) 1/3) in N 9.425 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1.0 N) (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))))))) in N 9.425 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1.0 N) (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2)))))) in N 9.425 * [taylor]: Taking taylor expansion of 1/3 in N 9.425 * [backup-simplify]: Simplify 1/3 into 1/3 9.425 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 N) (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))))) in N 9.425 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2)))) in N 9.425 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 9.425 * [taylor]: Taking taylor expansion of 1.0 in N 9.425 * [backup-simplify]: Simplify 1.0 into 1.0 9.425 * [taylor]: Taking taylor expansion of N in N 9.425 * [backup-simplify]: Simplify 0 into 0 9.425 * [backup-simplify]: Simplify 1 into 1 9.425 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in N 9.425 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 9.425 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 9.425 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.425 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.425 * [taylor]: Taking taylor expansion of N in N 9.425 * [backup-simplify]: Simplify 0 into 0 9.426 * [backup-simplify]: Simplify 1 into 1 9.426 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 9.426 * [taylor]: Taking taylor expansion of 0.5 in N 9.426 * [backup-simplify]: Simplify 0.5 into 0.5 9.426 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.426 * [taylor]: Taking taylor expansion of N in N 9.426 * [backup-simplify]: Simplify 0 into 0 9.426 * [backup-simplify]: Simplify 1 into 1 9.426 * [backup-simplify]: Simplify (* 1.0 0) into 0 9.426 * [backup-simplify]: Simplify (+ 0 0) into 0 9.428 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 9.428 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.428 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 9.429 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 9.429 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 9.429 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 9.430 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log N))))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (cbrt -1)) 9.431 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (cbrt -1)) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (cbrt -1)) 9.431 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 9.431 * [backup-simplify]: Simplify (* 1 1) into 1 9.432 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 9.432 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 9.432 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 9.436 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0.5) 1)) (pow 1.0 1)))) 1) into 0.5 9.437 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 9.437 * [backup-simplify]: Simplify (+ (* 1/3 0.5) (* 0 (+ (log 1.0) (log N)))) into 0.16666666666666666 9.439 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.16666666666666666 1) 1)))) into (* 0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log N))))) 9.440 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* 0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log N)))))) (* 0 (exp (* 1/3 (+ (log 1.0) (log N)))))) into (* 0.16666666666666666 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (cbrt -1))) 9.441 * [backup-simplify]: Simplify (* 0.16666666666666666 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (cbrt -1))) into (* 0.16666666666666666 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (cbrt -1))) 9.442 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.442 * [backup-simplify]: Simplify (* 1 1) into 1 9.442 * [backup-simplify]: Simplify (* 1 1) into 1 9.442 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 9.443 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.443 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 9.443 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 9.444 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 9.458 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0.5) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0.3333333333333333) 1)) (pow 1.0 1)))) 2) into (* 1/2 (- 0.6666666666666666 (* 0.25 (/ 1 (pow 1.0 2))))) 9.459 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 9.466 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- 0.6666666666666666 (* 0.25 (/ 1 (pow 1.0 2)))))) (+ (* 0 0.5) (* 0 (+ (log 1.0) (log N))))) into (- 0.1111111111111111 (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) 9.478 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.16666666666666666 2) 2)) (* (/ (pow (- 0.1111111111111111 (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.125 (* 0.041666666666666664 (/ 1 (pow 1.0 2))))) 9.480 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 9.485 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.125 (* 0.041666666666666664 (/ 1 (pow 1.0 2)))))) (+ (* 0 (* 0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log N)))))) (* 0 (exp (* 1/3 (+ (log 1.0) (log N))))))) into (- (* 0.125 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (cbrt -1))) (* 0.041666666666666664 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (cbrt -1)) (pow 1.0 2)))) 9.488 * [backup-simplify]: Simplify (- (* 0.125 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (cbrt -1))) (* 0.041666666666666664 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (cbrt -1)) (pow 1.0 2)))) into (- (* 0.125 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (cbrt -1))) (* 0.041666666666666664 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (cbrt -1)) (pow 1.0 2)))) 9.494 * [backup-simplify]: Simplify (+ (* (- (* 0.125 (* (exp (* 1/3 (+ (log 1.0) (log (/ 1 (- N)))))) (cbrt -1))) (* 0.041666666666666664 (/ (* (exp (* 1/3 (+ (log 1.0) (log (/ 1 (- N)))))) (cbrt -1)) (pow 1.0 2)))) (pow (/ 1 (- N)) 2)) (+ (* (* 0.16666666666666666 (* (exp (* 1/3 (+ (log 1.0) (log (/ 1 (- N)))))) (cbrt -1))) (/ 1 (- N))) (* (exp (* 1/3 (+ (log 1.0) (log (/ 1 (- N)))))) (cbrt -1)))) into (- (+ (* (exp (* 1/3 (+ (log 1.0) (log (/ -1 N))))) (cbrt -1)) (* 0.125 (/ (* (exp (* 1/3 (+ (log 1.0) (log (/ -1 N))))) (cbrt -1)) (pow N 2)))) (+ (* 0.041666666666666664 (/ (* (exp (* 1/3 (+ (log 1.0) (log (/ -1 N))))) (cbrt -1)) (* (pow N 2) (pow 1.0 2)))) (* 0.16666666666666666 (/ (* (exp (* 1/3 (+ (log 1.0) (log (/ -1 N))))) (cbrt -1)) N)))) 9.494 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 9.495 * [backup-simplify]: Simplify (cbrt (+ (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (/ 1.0 N))) into (pow (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 1/3) 9.495 * [approximate]: Taking taylor expansion of (pow (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 1/3) in (N) around 0 9.495 * [taylor]: Taking taylor expansion of (pow (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 1/3) in N 9.495 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2))))))) in N 9.495 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))))) in N 9.495 * [taylor]: Taking taylor expansion of 1/3 in N 9.495 * [backup-simplify]: Simplify 1/3 into 1/3 9.495 * [taylor]: Taking taylor expansion of (log (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2))))) in N 9.495 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N 9.495 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 9.495 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 9.495 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 9.495 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.495 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 9.495 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.495 * [taylor]: Taking taylor expansion of N in N 9.496 * [backup-simplify]: Simplify 0 into 0 9.496 * [backup-simplify]: Simplify 1 into 1 9.496 * [backup-simplify]: Simplify (* 1 1) into 1 9.496 * [backup-simplify]: Simplify (* 1 1) into 1 9.497 * [backup-simplify]: Simplify (/ 1 1) into 1 9.497 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 9.497 * [taylor]: Taking taylor expansion of 1.0 in N 9.497 * [backup-simplify]: Simplify 1.0 into 1.0 9.497 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.497 * [taylor]: Taking taylor expansion of N in N 9.497 * [backup-simplify]: Simplify 0 into 0 9.497 * [backup-simplify]: Simplify 1 into 1 9.497 * [backup-simplify]: Simplify (/ 1 1) into 1 9.497 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 9.497 * [taylor]: Taking taylor expansion of 0.5 in N 9.497 * [backup-simplify]: Simplify 0.5 into 0.5 9.497 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 9.497 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.498 * [taylor]: Taking taylor expansion of N in N 9.498 * [backup-simplify]: Simplify 0 into 0 9.498 * [backup-simplify]: Simplify 1 into 1 9.498 * [backup-simplify]: Simplify (* 1 1) into 1 9.498 * [backup-simplify]: Simplify (/ 1 1) into 1 9.499 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 9.499 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 9.500 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 9.500 * [backup-simplify]: Simplify (log 0.3333333333333333) into (log 0.3333333333333333) 9.501 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 0.3333333333333333)) into (- (log 0.3333333333333333) (* 3 (log N))) 9.501 * [backup-simplify]: Simplify (* 1/3 (- (log 0.3333333333333333) (* 3 (log N)))) into (* 1/3 (- (log 0.3333333333333333) (* 3 (log N)))) 9.502 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) into (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) 9.502 * [taylor]: Taking taylor expansion of (pow (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 1/3) in N 9.502 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2))))))) in N 9.502 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))))) in N 9.502 * [taylor]: Taking taylor expansion of 1/3 in N 9.502 * [backup-simplify]: Simplify 1/3 into 1/3 9.502 * [taylor]: Taking taylor expansion of (log (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2))))) in N 9.502 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N 9.502 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 9.502 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 9.502 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 9.502 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.502 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 9.502 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.502 * [taylor]: Taking taylor expansion of N in N 9.502 * [backup-simplify]: Simplify 0 into 0 9.503 * [backup-simplify]: Simplify 1 into 1 9.503 * [backup-simplify]: Simplify (* 1 1) into 1 9.503 * [backup-simplify]: Simplify (* 1 1) into 1 9.504 * [backup-simplify]: Simplify (/ 1 1) into 1 9.504 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 9.504 * [taylor]: Taking taylor expansion of 1.0 in N 9.504 * [backup-simplify]: Simplify 1.0 into 1.0 9.504 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.504 * [taylor]: Taking taylor expansion of N in N 9.504 * [backup-simplify]: Simplify 0 into 0 9.504 * [backup-simplify]: Simplify 1 into 1 9.504 * [backup-simplify]: Simplify (/ 1 1) into 1 9.504 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 9.504 * [taylor]: Taking taylor expansion of 0.5 in N 9.504 * [backup-simplify]: Simplify 0.5 into 0.5 9.504 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 9.504 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.504 * [taylor]: Taking taylor expansion of N in N 9.504 * [backup-simplify]: Simplify 0 into 0 9.504 * [backup-simplify]: Simplify 1 into 1 9.505 * [backup-simplify]: Simplify (* 1 1) into 1 9.505 * [backup-simplify]: Simplify (/ 1 1) into 1 9.506 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 9.506 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 9.507 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 9.507 * [backup-simplify]: Simplify (log 0.3333333333333333) into (log 0.3333333333333333) 9.508 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 0.3333333333333333)) into (- (log 0.3333333333333333) (* 3 (log N))) 9.508 * [backup-simplify]: Simplify (* 1/3 (- (log 0.3333333333333333) (* 3 (log N)))) into (* 1/3 (- (log 0.3333333333333333) (* 3 (log N)))) 9.509 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) into (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) 9.510 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) into (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) 9.510 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.511 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.513 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 9.513 * [backup-simplify]: Simplify (+ 0 0) into 0 9.513 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 9.514 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 9.515 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 9.523 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 0.5)) 1)) (pow 0.3333333333333333 1)))) 1) into -1.5 9.524 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 0.3333333333333333)) into (- (log 0.3333333333333333) (* 3 (log N))) 9.525 * [backup-simplify]: Simplify (+ (* 1/3 -1.5) (* 0 (- (log 0.3333333333333333) (* 3 (log N))))) into (- 0.5) 9.528 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (+ (* (/ (pow (- 0.5) 1) 1)))) into (* -0.5 (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N)))))) 9.528 * [backup-simplify]: Simplify (* -0.5 (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N)))))) into (* -0.5 (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N)))))) 9.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.531 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 9.531 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 9.531 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.532 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.532 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 9.533 * [backup-simplify]: Simplify (- 0) into 0 9.533 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.543 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 0.5)) 2)) (pow 0.3333333333333333 2))) (* 1 (/ (* 1 (pow (* 2 1.0) 1)) (pow 0.3333333333333333 1)))) 2) into (* 1/2 (- 6.0 (* 0.25 (/ 1 (pow 0.3333333333333333 2))))) 9.543 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 0.3333333333333333)) into (- (log 0.3333333333333333) (* 3 (log N))) 9.547 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- 6.0 (* 0.25 (/ 1 (pow 0.3333333333333333 2)))))) (+ (* 0 -1.5) (* 0 (- (log 0.3333333333333333) (* 3 (log N)))))) into (- 1.0 (* 0.041666666666666664 (/ 1 (pow 0.3333333333333333 2)))) 9.554 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (+ (* (/ (pow (- 0.5) 2) 2)) (* (/ (pow (- 1.0 (* 0.041666666666666664 (/ 1 (pow 0.3333333333333333 2)))) 1) 1)))) into (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (- 1.125 (* 0.041666666666666664 (/ 1 (pow 0.3333333333333333 2))))) 9.556 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (- 1.125 (* 0.041666666666666664 (/ 1 (pow 0.3333333333333333 2))))) into (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (- 1.125 (* 0.041666666666666664 (/ 1 (pow 0.3333333333333333 2))))) 9.559 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (- 1.125 (* 0.041666666666666664 (/ 1 (pow 0.3333333333333333 2))))) (pow N 2)) (+ (* (* -0.5 (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N)))))) N) (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))))) into (- (+ (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (* 1.125 (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (pow N 2)))) (+ (* 0.5 (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) N)) (* 0.041666666666666664 (/ (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (pow N 2)) (pow 0.3333333333333333 2))))) 9.560 * [backup-simplify]: Simplify (cbrt (+ (- (/ (/ 0.3333333333333333 (/ 1 N)) (* (/ 1 N) (/ 1 N))) (/ 0.5 (* (/ 1 N) (/ 1 N)))) (/ 1.0 (/ 1 N)))) into (pow (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) 1/3) 9.560 * [approximate]: Taking taylor expansion of (pow (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) 1/3) in (N) around 0 9.560 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) 1/3) in N 9.560 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2)))))) in N 9.560 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))))) in N 9.560 * [taylor]: Taking taylor expansion of 1/3 in N 9.560 * [backup-simplify]: Simplify 1/3 into 1/3 9.560 * [taylor]: Taking taylor expansion of (log (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2)))) in N 9.560 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 9.560 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 9.560 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 9.560 * [taylor]: Taking taylor expansion of 1.0 in N 9.560 * [backup-simplify]: Simplify 1.0 into 1.0 9.560 * [taylor]: Taking taylor expansion of N in N 9.560 * [backup-simplify]: Simplify 0 into 0 9.560 * [backup-simplify]: Simplify 1 into 1 9.560 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 9.560 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 9.560 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.560 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.560 * [taylor]: Taking taylor expansion of N in N 9.560 * [backup-simplify]: Simplify 0 into 0 9.560 * [backup-simplify]: Simplify 1 into 1 9.560 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 9.560 * [taylor]: Taking taylor expansion of 0.5 in N 9.560 * [backup-simplify]: Simplify 0.5 into 0.5 9.560 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.560 * [taylor]: Taking taylor expansion of N in N 9.560 * [backup-simplify]: Simplify 0 into 0 9.560 * [backup-simplify]: Simplify 1 into 1 9.560 * [backup-simplify]: Simplify (* 1.0 0) into 0 9.561 * [backup-simplify]: Simplify (+ 0 0) into 0 9.561 * [backup-simplify]: Simplify (+ 0 0) into 0 9.562 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 9.562 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.562 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.563 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 9.568 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 9.568 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 9.569 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 9.569 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) 1/3) in N 9.569 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2)))))) in N 9.569 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))))) in N 9.569 * [taylor]: Taking taylor expansion of 1/3 in N 9.569 * [backup-simplify]: Simplify 1/3 into 1/3 9.569 * [taylor]: Taking taylor expansion of (log (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2)))) in N 9.569 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 9.569 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 9.569 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 9.569 * [taylor]: Taking taylor expansion of 1.0 in N 9.569 * [backup-simplify]: Simplify 1.0 into 1.0 9.569 * [taylor]: Taking taylor expansion of N in N 9.569 * [backup-simplify]: Simplify 0 into 0 9.569 * [backup-simplify]: Simplify 1 into 1 9.569 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 9.569 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 9.569 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.569 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.569 * [taylor]: Taking taylor expansion of N in N 9.569 * [backup-simplify]: Simplify 0 into 0 9.569 * [backup-simplify]: Simplify 1 into 1 9.569 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 9.569 * [taylor]: Taking taylor expansion of 0.5 in N 9.569 * [backup-simplify]: Simplify 0.5 into 0.5 9.569 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.569 * [taylor]: Taking taylor expansion of N in N 9.569 * [backup-simplify]: Simplify 0 into 0 9.569 * [backup-simplify]: Simplify 1 into 1 9.569 * [backup-simplify]: Simplify (* 1.0 0) into 0 9.570 * [backup-simplify]: Simplify (+ 0 0) into 0 9.570 * [backup-simplify]: Simplify (+ 0 0) into 0 9.571 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 9.571 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.571 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.572 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 9.572 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 9.572 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 9.573 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 9.573 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 9.574 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 9.574 * [backup-simplify]: Simplify (+ 0 0) into 0 9.574 * [backup-simplify]: Simplify (* 1 1) into 1 9.575 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 9.575 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 9.575 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 9.580 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 0.5)) 1)) (pow 1.0 1)))) 1) into -0.5 9.580 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 9.581 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (* 0 (+ (log 1.0) (log N)))) into (- 0.16666666666666666) 9.583 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log N))))) 9.584 * [backup-simplify]: Simplify (* -0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* -0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log N))))) 9.584 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.585 * [backup-simplify]: Simplify (* 1 1) into 1 9.585 * [backup-simplify]: Simplify (* 1 1) into 1 9.585 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 9.585 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 9.586 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.586 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 9.587 * [backup-simplify]: Simplify (- 0) into 0 9.587 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 9.605 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 0.5)) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0.3333333333333333) 1)) (pow 1.0 1)))) 2) into (* 1/2 (- 0.6666666666666666 (* 0.25 (/ 1 (pow 1.0 2))))) 9.606 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 9.614 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- 0.6666666666666666 (* 0.25 (/ 1 (pow 1.0 2)))))) (+ (* 0 -0.5) (* 0 (+ (log 1.0) (log N))))) into (- 0.1111111111111111 (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) 9.626 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow (- 0.16666666666666666) 2) 2)) (* (/ (pow (- 0.1111111111111111 (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.125 (* 0.041666666666666664 (/ 1 (pow 1.0 2))))) 9.630 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.125 (* 0.041666666666666664 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.125 (* 0.041666666666666664 (/ 1 (pow 1.0 2))))) 9.635 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))) (- 0.125 (* 0.041666666666666664 (/ 1 (pow 1.0 2))))) (pow (/ 1 N) 2)) (+ (* (* -0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log (/ 1 N)))))) (/ 1 N)) (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))))) into (- (+ (exp (* 1/3 (+ (log (/ 1 N)) (log 1.0)))) (* 0.125 (/ (exp (* 1/3 (+ (log (/ 1 N)) (log 1.0)))) (pow N 2)))) (+ (* 0.041666666666666664 (/ (exp (* 1/3 (+ (log (/ 1 N)) (log 1.0)))) (* (pow 1.0 2) (pow N 2)))) (* 0.16666666666666666 (/ (exp (* 1/3 (+ (log (/ 1 N)) (log 1.0)))) N)))) 9.636 * [backup-simplify]: Simplify (cbrt (+ (- (/ (/ 0.3333333333333333 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N)))) (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N))))) (/ 1.0 (/ 1 (- N))))) into (* (cbrt -1) (pow (+ (* 1.0 N) (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2)))) 1/3)) 9.636 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (+ (* 1.0 N) (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2)))) 1/3)) in (N) around 0 9.636 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (* 1.0 N) (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2)))) 1/3)) in N 9.636 * [taylor]: Taking taylor expansion of (cbrt -1) in N 9.636 * [taylor]: Taking taylor expansion of -1 in N 9.636 * [backup-simplify]: Simplify -1 into -1 9.637 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 9.638 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 9.638 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 N) (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2)))) 1/3) in N 9.638 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1.0 N) (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))))))) in N 9.638 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1.0 N) (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2)))))) in N 9.638 * [taylor]: Taking taylor expansion of 1/3 in N 9.638 * [backup-simplify]: Simplify 1/3 into 1/3 9.638 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 N) (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))))) in N 9.638 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2)))) in N 9.638 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 9.638 * [taylor]: Taking taylor expansion of 1.0 in N 9.638 * [backup-simplify]: Simplify 1.0 into 1.0 9.638 * [taylor]: Taking taylor expansion of N in N 9.638 * [backup-simplify]: Simplify 0 into 0 9.638 * [backup-simplify]: Simplify 1 into 1 9.638 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in N 9.638 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 9.638 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 9.638 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.638 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.638 * [taylor]: Taking taylor expansion of N in N 9.638 * [backup-simplify]: Simplify 0 into 0 9.638 * [backup-simplify]: Simplify 1 into 1 9.638 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 9.638 * [taylor]: Taking taylor expansion of 0.5 in N 9.638 * [backup-simplify]: Simplify 0.5 into 0.5 9.638 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.638 * [taylor]: Taking taylor expansion of N in N 9.638 * [backup-simplify]: Simplify 0 into 0 9.638 * [backup-simplify]: Simplify 1 into 1 9.639 * [backup-simplify]: Simplify (* 1.0 0) into 0 9.639 * [backup-simplify]: Simplify (+ 0 0) into 0 9.641 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 9.641 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.642 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 9.642 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 9.643 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 9.643 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 9.643 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (* 1.0 N) (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2)))) 1/3)) in N 9.644 * [taylor]: Taking taylor expansion of (cbrt -1) in N 9.644 * [taylor]: Taking taylor expansion of -1 in N 9.644 * [backup-simplify]: Simplify -1 into -1 9.644 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 9.645 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 9.645 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 N) (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2)))) 1/3) in N 9.645 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1.0 N) (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))))))) in N 9.645 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1.0 N) (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2)))))) in N 9.645 * [taylor]: Taking taylor expansion of 1/3 in N 9.645 * [backup-simplify]: Simplify 1/3 into 1/3 9.645 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 N) (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))))) in N 9.645 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2)))) in N 9.645 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 9.645 * [taylor]: Taking taylor expansion of 1.0 in N 9.645 * [backup-simplify]: Simplify 1.0 into 1.0 9.645 * [taylor]: Taking taylor expansion of N in N 9.645 * [backup-simplify]: Simplify 0 into 0 9.645 * [backup-simplify]: Simplify 1 into 1 9.645 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in N 9.645 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 9.645 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 9.645 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.645 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.646 * [taylor]: Taking taylor expansion of N in N 9.646 * [backup-simplify]: Simplify 0 into 0 9.646 * [backup-simplify]: Simplify 1 into 1 9.646 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 9.646 * [taylor]: Taking taylor expansion of 0.5 in N 9.646 * [backup-simplify]: Simplify 0.5 into 0.5 9.646 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.646 * [taylor]: Taking taylor expansion of N in N 9.646 * [backup-simplify]: Simplify 0 into 0 9.646 * [backup-simplify]: Simplify 1 into 1 9.646 * [backup-simplify]: Simplify (* 1.0 0) into 0 9.647 * [backup-simplify]: Simplify (+ 0 0) into 0 9.648 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 9.649 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.649 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 9.650 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 9.651 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 9.651 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 9.652 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log N))))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (cbrt -1)) 9.653 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (cbrt -1)) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (cbrt -1)) 9.654 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 9.655 * [backup-simplify]: Simplify (* 1 1) into 1 9.655 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 9.655 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 9.656 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 9.663 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0.5) 1)) (pow 1.0 1)))) 1) into 0.5 9.664 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 9.665 * [backup-simplify]: Simplify (+ (* 1/3 0.5) (* 0 (+ (log 1.0) (log N)))) into 0.16666666666666666 9.668 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.16666666666666666 1) 1)))) into (* 0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log N))))) 9.669 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* 0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log N)))))) (* 0 (exp (* 1/3 (+ (log 1.0) (log N)))))) into (* 0.16666666666666666 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (cbrt -1))) 9.670 * [backup-simplify]: Simplify (* 0.16666666666666666 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (cbrt -1))) into (* 0.16666666666666666 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (cbrt -1))) 9.672 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.672 * [backup-simplify]: Simplify (* 1 1) into 1 9.672 * [backup-simplify]: Simplify (* 1 1) into 1 9.673 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 9.674 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.674 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 9.675 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 9.675 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 9.691 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0.5) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0.3333333333333333) 1)) (pow 1.0 1)))) 2) into (* 1/2 (- 0.6666666666666666 (* 0.25 (/ 1 (pow 1.0 2))))) 9.692 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 9.700 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- 0.6666666666666666 (* 0.25 (/ 1 (pow 1.0 2)))))) (+ (* 0 0.5) (* 0 (+ (log 1.0) (log N))))) into (- 0.1111111111111111 (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) 9.719 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.16666666666666666 2) 2)) (* (/ (pow (- 0.1111111111111111 (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.125 (* 0.041666666666666664 (/ 1 (pow 1.0 2))))) 9.721 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 9.726 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.125 (* 0.041666666666666664 (/ 1 (pow 1.0 2)))))) (+ (* 0 (* 0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log N)))))) (* 0 (exp (* 1/3 (+ (log 1.0) (log N))))))) into (- (* 0.125 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (cbrt -1))) (* 0.041666666666666664 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (cbrt -1)) (pow 1.0 2)))) 9.729 * [backup-simplify]: Simplify (- (* 0.125 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (cbrt -1))) (* 0.041666666666666664 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (cbrt -1)) (pow 1.0 2)))) into (- (* 0.125 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (cbrt -1))) (* 0.041666666666666664 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (cbrt -1)) (pow 1.0 2)))) 9.735 * [backup-simplify]: Simplify (+ (* (- (* 0.125 (* (exp (* 1/3 (+ (log 1.0) (log (/ 1 (- N)))))) (cbrt -1))) (* 0.041666666666666664 (/ (* (exp (* 1/3 (+ (log 1.0) (log (/ 1 (- N)))))) (cbrt -1)) (pow 1.0 2)))) (pow (/ 1 (- N)) 2)) (+ (* (* 0.16666666666666666 (* (exp (* 1/3 (+ (log 1.0) (log (/ 1 (- N)))))) (cbrt -1))) (/ 1 (- N))) (* (exp (* 1/3 (+ (log 1.0) (log (/ 1 (- N)))))) (cbrt -1)))) into (- (+ (* (exp (* 1/3 (+ (log 1.0) (log (/ -1 N))))) (cbrt -1)) (* 0.125 (/ (* (exp (* 1/3 (+ (log 1.0) (log (/ -1 N))))) (cbrt -1)) (pow N 2)))) (+ (* 0.041666666666666664 (/ (* (exp (* 1/3 (+ (log 1.0) (log (/ -1 N))))) (cbrt -1)) (* (pow N 2) (pow 1.0 2)))) (* 0.16666666666666666 (/ (* (exp (* 1/3 (+ (log 1.0) (log (/ -1 N))))) (cbrt -1)) N)))) 9.735 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 9.736 * [backup-simplify]: Simplify (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) into (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) 9.736 * [approximate]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) in (N) around 0 9.736 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) in N 9.736 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 9.736 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 9.736 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.736 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 9.736 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.736 * [taylor]: Taking taylor expansion of N in N 9.736 * [backup-simplify]: Simplify 0 into 0 9.736 * [backup-simplify]: Simplify 1 into 1 9.737 * [backup-simplify]: Simplify (* 1 1) into 1 9.737 * [backup-simplify]: Simplify (* 1 1) into 1 9.737 * [backup-simplify]: Simplify (/ 1 1) into 1 9.737 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 9.737 * [taylor]: Taking taylor expansion of 0.5 in N 9.737 * [backup-simplify]: Simplify 0.5 into 0.5 9.737 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 9.737 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.737 * [taylor]: Taking taylor expansion of N in N 9.737 * [backup-simplify]: Simplify 0 into 0 9.738 * [backup-simplify]: Simplify 1 into 1 9.738 * [backup-simplify]: Simplify (* 1 1) into 1 9.738 * [backup-simplify]: Simplify (/ 1 1) into 1 9.738 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) in N 9.738 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 9.738 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 9.738 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.738 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 9.738 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.739 * [taylor]: Taking taylor expansion of N in N 9.739 * [backup-simplify]: Simplify 0 into 0 9.739 * [backup-simplify]: Simplify 1 into 1 9.739 * [backup-simplify]: Simplify (* 1 1) into 1 9.739 * [backup-simplify]: Simplify (* 1 1) into 1 9.740 * [backup-simplify]: Simplify (/ 1 1) into 1 9.740 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 9.740 * [taylor]: Taking taylor expansion of 0.5 in N 9.740 * [backup-simplify]: Simplify 0.5 into 0.5 9.740 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 9.740 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.740 * [taylor]: Taking taylor expansion of N in N 9.740 * [backup-simplify]: Simplify 0 into 0 9.740 * [backup-simplify]: Simplify 1 into 1 9.740 * [backup-simplify]: Simplify (* 1 1) into 1 9.741 * [backup-simplify]: Simplify (/ 1 1) into 1 9.741 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 9.742 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 9.742 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.742 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.743 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.745 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 9.745 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 9.745 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 9.746 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 9.747 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 9.748 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.749 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.751 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 9.751 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.753 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 9.753 * [backup-simplify]: Simplify (- 0) into 0 9.754 * [backup-simplify]: Simplify (+ 0 0) into 0 9.754 * [backup-simplify]: Simplify 0 into 0 9.755 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.756 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.757 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.757 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.758 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 9.759 * [backup-simplify]: Simplify (- 0) into 0 9.759 * [backup-simplify]: Simplify (+ 0 0) into 0 9.759 * [backup-simplify]: Simplify 0 into 0 9.760 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.760 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.762 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.763 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.764 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.764 * [backup-simplify]: Simplify (- 0) into 0 9.765 * [backup-simplify]: Simplify (+ 0 0) into 0 9.765 * [backup-simplify]: Simplify 0 into 0 9.765 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.766 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.768 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.768 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.770 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.770 * [backup-simplify]: Simplify (- 0) into 0 9.770 * [backup-simplify]: Simplify (+ 0 0) into 0 9.770 * [backup-simplify]: Simplify 0 into 0 9.771 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.772 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.773 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.774 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.776 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.776 * [backup-simplify]: Simplify (- 0) into 0 9.776 * [backup-simplify]: Simplify (+ 0 0) into 0 9.776 * [backup-simplify]: Simplify 0 into 0 9.777 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 9.778 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 9.779 * [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 9.780 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 9.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.782 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.782 * [backup-simplify]: Simplify (- 0) into 0 9.783 * [backup-simplify]: Simplify (+ 0 0) into 0 9.783 * [backup-simplify]: Simplify 0 into 0 9.783 * [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)))) 9.783 * [backup-simplify]: Simplify (- (/ (/ 0.3333333333333333 (/ 1 N)) (* (/ 1 N) (/ 1 N))) (/ 0.5 (* (/ 1 N) (/ 1 N)))) into (- (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) 9.783 * [approximate]: Taking taylor expansion of (- (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in (N) around 0 9.784 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in N 9.784 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 9.784 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 9.784 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.784 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.784 * [taylor]: Taking taylor expansion of N in N 9.784 * [backup-simplify]: Simplify 0 into 0 9.784 * [backup-simplify]: Simplify 1 into 1 9.784 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 9.784 * [taylor]: Taking taylor expansion of 0.5 in N 9.784 * [backup-simplify]: Simplify 0.5 into 0.5 9.784 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.784 * [taylor]: Taking taylor expansion of N in N 9.784 * [backup-simplify]: Simplify 0 into 0 9.784 * [backup-simplify]: Simplify 1 into 1 9.784 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in N 9.784 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 9.784 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 9.784 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.784 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.784 * [taylor]: Taking taylor expansion of N in N 9.784 * [backup-simplify]: Simplify 0 into 0 9.784 * [backup-simplify]: Simplify 1 into 1 9.784 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 9.784 * [taylor]: Taking taylor expansion of 0.5 in N 9.784 * [backup-simplify]: Simplify 0.5 into 0.5 9.784 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.784 * [taylor]: Taking taylor expansion of N in N 9.784 * [backup-simplify]: Simplify 0 into 0 9.784 * [backup-simplify]: Simplify 1 into 1 9.784 * [backup-simplify]: Simplify (* 1 1) into 1 9.785 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 9.785 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 9.785 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 9.786 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 9.786 * [backup-simplify]: Simplify (* 1 1) into 1 9.786 * [backup-simplify]: Simplify (* 1 1) into 1 9.786 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 9.787 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.787 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 9.787 * [backup-simplify]: Simplify (- 0) into 0 9.788 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 9.788 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.788 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.789 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.789 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 9.789 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.790 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 9.790 * [backup-simplify]: Simplify (- 0) into 0 9.791 * [backup-simplify]: Simplify (+ 0 0) into 0 9.791 * [backup-simplify]: Simplify 0 into 0 9.791 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.792 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.792 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 9.793 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.793 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.794 * [backup-simplify]: Simplify (- 0) into 0 9.794 * [backup-simplify]: Simplify (+ 0 0) into 0 9.794 * [backup-simplify]: Simplify 0 into 0 9.795 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.795 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.796 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.797 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.797 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.798 * [backup-simplify]: Simplify (- 0) into 0 9.798 * [backup-simplify]: Simplify (+ 0 0) into 0 9.798 * [backup-simplify]: Simplify 0 into 0 9.798 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.799 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.800 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.801 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.802 * [backup-simplify]: Simplify (- 0) into 0 9.802 * [backup-simplify]: Simplify (+ 0 0) into 0 9.802 * [backup-simplify]: Simplify 0 into 0 9.803 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.804 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.804 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.805 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.806 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.806 * [backup-simplify]: Simplify (- 0) into 0 9.807 * [backup-simplify]: Simplify (+ 0 0) into 0 9.807 * [backup-simplify]: Simplify 0 into 0 9.807 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.808 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.809 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.810 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 9.811 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 9.816 * [backup-simplify]: Simplify (- 0) into 0 9.817 * [backup-simplify]: Simplify (+ 0 0) into 0 9.817 * [backup-simplify]: Simplify 0 into 0 9.818 * [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)))) 9.818 * [backup-simplify]: Simplify (- (/ (/ 0.3333333333333333 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N)))) (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N))))) into (- (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3)))) 9.818 * [approximate]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3)))) in (N) around 0 9.818 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3)))) in N 9.818 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))) in N 9.818 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 9.818 * [taylor]: Taking taylor expansion of 0.5 in N 9.818 * [backup-simplify]: Simplify 0.5 into 0.5 9.818 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.818 * [taylor]: Taking taylor expansion of N in N 9.818 * [backup-simplify]: Simplify 0 into 0 9.818 * [backup-simplify]: Simplify 1 into 1 9.818 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 9.818 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 9.818 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.818 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.818 * [taylor]: Taking taylor expansion of N in N 9.818 * [backup-simplify]: Simplify 0 into 0 9.818 * [backup-simplify]: Simplify 1 into 1 9.818 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3)))) in N 9.818 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))) in N 9.818 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 9.818 * [taylor]: Taking taylor expansion of 0.5 in N 9.818 * [backup-simplify]: Simplify 0.5 into 0.5 9.818 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.818 * [taylor]: Taking taylor expansion of N in N 9.818 * [backup-simplify]: Simplify 0 into 0 9.818 * [backup-simplify]: Simplify 1 into 1 9.818 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 9.818 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 9.818 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.819 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.819 * [taylor]: Taking taylor expansion of N in N 9.819 * [backup-simplify]: Simplify 0 into 0 9.819 * [backup-simplify]: Simplify 1 into 1 9.819 * [backup-simplify]: Simplify (* 1 1) into 1 9.819 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 9.819 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 9.820 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 9.820 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 9.820 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.821 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 9.821 * [backup-simplify]: Simplify (* 1 1) into 1 9.821 * [backup-simplify]: Simplify (* 1 1) into 1 9.822 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 9.822 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 9.822 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 9.822 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 9.823 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.823 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 9.824 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.824 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.825 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 9.825 * [backup-simplify]: Simplify (+ 0 0) into 0 9.825 * [backup-simplify]: Simplify (- 0) into 0 9.825 * [backup-simplify]: Simplify 0 into 0 9.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.826 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.827 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.828 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.828 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 9.828 * [backup-simplify]: Simplify (+ 0 0) into 0 9.829 * [backup-simplify]: Simplify (- 0) into 0 9.829 * [backup-simplify]: Simplify 0 into 0 9.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.830 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.832 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.832 * [backup-simplify]: Simplify (+ 0 0) into 0 9.832 * [backup-simplify]: Simplify (- 0) into 0 9.832 * [backup-simplify]: Simplify 0 into 0 9.833 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.834 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.836 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.836 * [backup-simplify]: Simplify (+ 0 0) into 0 9.837 * [backup-simplify]: Simplify (- 0) into 0 9.837 * [backup-simplify]: Simplify 0 into 0 9.838 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.838 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.839 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.840 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.841 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.841 * [backup-simplify]: Simplify (+ 0 0) into 0 9.841 * [backup-simplify]: Simplify (- 0) into 0 9.841 * [backup-simplify]: Simplify 0 into 0 9.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 9.843 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 9.844 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.845 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.846 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.846 * [backup-simplify]: Simplify (+ 0 0) into 0 9.847 * [backup-simplify]: Simplify (- 0) into 0 9.847 * [backup-simplify]: Simplify 0 into 0 9.847 * [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)))) 9.847 * * * [progress]: simplifying candidates 9.850 * [simplify]: Simplifying: (log (cbrt (+ (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (/ 1.0 N)))) (exp (cbrt (+ (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (/ 1.0 N)))) (cbrt (* (cbrt (+ (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (/ 1.0 N))) (cbrt (+ (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (/ 1.0 N))))) (cbrt (cbrt (+ (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (/ 1.0 N)))) (cbrt (sqrt (+ (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (/ 1.0 N)))) (cbrt (sqrt (+ (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (/ 1.0 N)))) (cbrt 1) (cbrt (+ (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (/ 1.0 N))) (cbrt 1) (cbrt (+ (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (/ 1.0 N))) (cbrt 1) (cbrt (+ (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (/ 1.0 N))) (cbrt (+ (* (- (/ 0.3333333333333333 N) 0.5) N) (* (* N N) 1.0))) (cbrt (* (* N N) N)) (cbrt (+ (* (- (* (/ 0.3333333333333333 N) (* N N)) (* (* N N) 0.5)) N) (* (* (* N N) (* N N)) 1.0))) (cbrt 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(+ (log 1.0) (log (/ -1 N))))) (cbrt -1)) (pow N 2)))) (+ (* 0.041666666666666664 (/ (* (exp (* 1/3 (+ (log 1.0) (log (/ -1 N))))) (cbrt -1)) (* (pow N 2) (pow 1.0 2)))) (* 0.16666666666666666 (/ (* (exp (* 1/3 (+ (log 1.0) (log (/ -1 N))))) (cbrt -1)) N)))) (- (+ (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (* 1.125 (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (pow N 2)))) (+ (* 0.5 (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) N)) (* 0.041666666666666664 (/ (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (pow N 2)) (pow 0.3333333333333333 2))))) (- (+ (exp (* 1/3 (+ (log (/ 1 N)) (log 1.0)))) (* 0.125 (/ (exp (* 1/3 (+ (log (/ 1 N)) (log 1.0)))) (pow N 2)))) (+ (* 0.041666666666666664 (/ (exp (* 1/3 (+ (log (/ 1 N)) (log 1.0)))) (* (pow 1.0 2) (pow N 2)))) (* 0.16666666666666666 (/ (exp (* 1/3 (+ (log (/ 1 N)) (log 1.0)))) N)))) (- (+ (* (exp (* 1/3 (+ (log 1.0) (log (/ -1 N))))) (cbrt -1)) (* 0.125 (/ (* (exp (* 1/3 (+ (log 1.0) (log (/ -1 N))))) (cbrt -1)) (pow N 2)))) (+ (* 0.041666666666666664 (/ (* (exp (* 1/3 (+ (log 1.0) (log (/ -1 N))))) (cbrt -1)) (* (pow N 2) (pow 1.0 2)))) (* 0.16666666666666666 (/ (* (exp (* 1/3 (+ (log 1.0) (log (/ -1 N))))) (cbrt -1)) 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)))) 9.852 * * [simplify]: iteration 0: 177 enodes 9.890 * * [simplify]: iteration 1: 423 enodes 10.068 * * [simplify]: iteration 2: 1276 enodes 10.649 * * [simplify]: iteration complete: 5001 enodes 10.649 * * [simplify]: Extracting #0: cost 53 inf + 0 10.650 * * [simplify]: Extracting #1: cost 267 inf + 2 10.656 * * [simplify]: Extracting #2: cost 1168 inf + 2272 10.680 * * [simplify]: Extracting #3: cost 1636 inf + 55897 10.748 * * [simplify]: Extracting #4: cost 865 inf + 252746 11.240 * * [simplify]: Extracting #5: cost 406 inf + 400909 11.359 * * [simplify]: Extracting #6: cost 83 inf + 535611 11.488 * * [simplify]: Extracting #7: cost 3 inf + 571375 11.616 * * [simplify]: Extracting #8: cost 0 inf + 568229 11.767 * * [simplify]: Extracting #9: cost 0 inf + 564674 11.960 * * [simplify]: Extracting #10: cost 0 inf + 564332 12.101 * [simplify]: Simplified to: (log (cbrt (+ (/ 1.0 N) (- (/ 0.3333333333333333 (* (* N N) N)) (/ 0.5 (* N N)))))) (exp (cbrt (+ (/ 1.0 N) (- (/ 0.3333333333333333 (* (* N N) N)) (/ 0.5 (* N N)))))) (cbrt (* (cbrt (+ (/ 1.0 N) (- (/ 0.3333333333333333 (* (* N N) N)) (/ 0.5 (* N N))))) (cbrt (+ (/ 1.0 N) (- (/ 0.3333333333333333 (* (* N N) N)) (/ 0.5 (* N N))))))) (cbrt (cbrt (+ (/ 1.0 N) (- (/ 0.3333333333333333 (* (* N N) N)) (/ 0.5 (* N N)))))) (cbrt (sqrt (+ (/ 1.0 N) (- (/ 0.3333333333333333 (* (* N N) N)) (/ 0.5 (* N N)))))) (cbrt (sqrt (+ (/ 1.0 N) (- (/ 0.3333333333333333 (* (* N N) N)) (/ 0.5 (* N N)))))) 1 (cbrt (+ (/ 1.0 N) (- (/ 0.3333333333333333 (* (* N N) N)) (/ 0.5 (* N N))))) 1 (cbrt (+ (/ 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(log N) 3)))) (/ 0.3333333333333333 N)) (/ 0.041666666666666664 (/ 0.3333333333333333 N)))) (exp (* 1/3 (- (log 0.3333333333333333) (* (log N) 3))))) (- (+ (exp (* (- (log 1.0) (log N)) 1/3)) (* (/ (exp (* (- (log 1.0) (log N)) 1/3)) (* N N)) (- 0.125 (/ 0.041666666666666664 (* 1.0 1.0))))) (* 0.16666666666666666 (/ (exp (* (- (log 1.0) (log N)) 1/3)) N))) (+ (- (* (/ (exp (* (+ (log (/ -1 N)) (log 1.0)) 1/3)) (/ N (cbrt -1))) (- (/ 0.125 N) 0.16666666666666666)) (/ (* (exp (* (+ (log (/ -1 N)) (log 1.0)) 1/3)) (* (cbrt -1) 0.041666666666666664)) (* (* 1.0 N) (* 1.0 N)))) (* (exp (* (+ (log (/ -1 N)) (log 1.0)) 1/3)) (cbrt -1))) (- (/ 0.3333333333333333 (* (* N N) N)) (/ 0.5 (* N N))) (- (/ 0.3333333333333333 (* (* N N) N)) (/ 0.5 (* N N))) (- (/ 0.3333333333333333 (* (* N N) N)) (/ 0.5 (* N N))) 12.118 * * * [progress]: adding candidates to table 12.658 * [progress]: [Phase 3 of 3] Extracting. 12.658 * * [regime]: Finding splitpoints for: (# # # #) 12.659 * * * [regime-changes]: Trying 1 branch expressions: (N) 12.659 * * * * [regimes]: Trying to branch on N from (# # # #) 12.710 * * * [regime]: Found split indices: #