15.891 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.074 * * * [progress]: [2/2] Setting up program. 0.080 * [progress]: [Phase 2 of 3] Improving. 0.081 * [simplify]: Simplifying: (- (log (+ N 1.0)) (log N)) 0.081 * * [simplify]: iteration 0: 6 enodes 0.082 * * [simplify]: iteration 1: 9 enodes 0.085 * * [simplify]: iteration 2: 10 enodes 0.087 * * [simplify]: iteration complete: 10 enodes 0.087 * * [simplify]: Extracting #0: cost 1 inf + 0 0.087 * * [simplify]: Extracting #1: cost 4 inf + 0 0.087 * * [simplify]: Extracting #2: cost 6 inf + 0 0.087 * * [simplify]: Extracting #3: cost 6 inf + 1 0.087 * * [simplify]: Extracting #4: cost 0 inf + 21 0.087 * [simplify]: Simplified to: (- (log (+ 1.0 N)) (log N)) 0.096 * * [progress]: iteration 1 / 4 0.096 * * * [progress]: picking best candidate 0.103 * * * * [pick]: Picked # 0.103 * * * [progress]: localizing error 0.124 * * * [progress]: generating rewritten candidates 0.124 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.131 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.158 * * * [progress]: generating series expansions 0.158 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.163 * [backup-simplify]: Simplify (log (+ 1.0 N)) into (log (+ N 1.0)) 0.164 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.165 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.165 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.165 * [taylor]: Taking taylor expansion of N in N 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 1 into 1 0.165 * [taylor]: Taking taylor expansion of 1.0 in N 0.165 * [backup-simplify]: Simplify 1.0 into 1.0 0.167 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.168 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.168 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.168 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.168 * [taylor]: Taking taylor expansion of N in N 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify 1 into 1 0.168 * [taylor]: Taking taylor expansion of 1.0 in N 0.168 * [backup-simplify]: Simplify 1.0 into 1.0 0.168 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.169 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.170 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.171 * [backup-simplify]: Simplify (+ 1 0) into 1 0.179 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.179 * [backup-simplify]: Simplify 1.0 into 1.0 0.180 * [backup-simplify]: Simplify (+ 0 0) into 0 0.205 * [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)) 0.206 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.208 * [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)))) 0.208 * [backup-simplify]: Simplify (log (+ 1.0 (/ 1 N))) into (log (+ (/ 1 N) 1.0)) 0.208 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.208 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.208 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.208 * [taylor]: Taking taylor expansion of (/ 1 N) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.208 * [taylor]: Taking taylor expansion of 1.0 in N 0.208 * [backup-simplify]: Simplify 1.0 into 1.0 0.209 * [backup-simplify]: Simplify (+ 1 0) into 1 0.209 * [backup-simplify]: Simplify (log 1) into 0 0.209 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.209 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.209 * [taylor]: Taking taylor expansion of (/ 1 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 (/ 1 1) into 1 0.209 * [taylor]: Taking taylor expansion of 1.0 in N 0.209 * [backup-simplify]: Simplify 1.0 into 1.0 0.210 * [backup-simplify]: Simplify (+ 1 0) into 1 0.210 * [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)) 0.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.211 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.215 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.215 * [backup-simplify]: Simplify 1.0 into 1.0 0.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.216 * [backup-simplify]: Simplify (+ 0 0) into 0 0.222 * [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 0.222 * [backup-simplify]: Simplify -0.5 into -0.5 0.222 * [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)))) 0.222 * [backup-simplify]: Simplify (log (+ 1.0 (/ 1 (- N)))) into (log (- 1.0 (/ 1 N))) 0.222 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.222 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.222 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.222 * [taylor]: Taking taylor expansion of 1.0 in N 0.222 * [backup-simplify]: Simplify 1.0 into 1.0 0.222 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.222 * [taylor]: Taking taylor expansion of N in N 0.222 * [backup-simplify]: Simplify 0 into 0 0.222 * [backup-simplify]: Simplify 1 into 1 0.223 * [backup-simplify]: Simplify (/ 1 1) into 1 0.223 * [backup-simplify]: Simplify (- 1) into -1 0.223 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.223 * [backup-simplify]: Simplify (log -1) into (log -1) 0.223 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.223 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.224 * [taylor]: Taking taylor expansion of 1.0 in N 0.224 * [backup-simplify]: Simplify 1.0 into 1.0 0.224 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.224 * [taylor]: Taking taylor expansion of N in N 0.224 * [backup-simplify]: Simplify 0 into 0 0.224 * [backup-simplify]: Simplify 1 into 1 0.224 * [backup-simplify]: Simplify (/ 1 1) into 1 0.224 * [backup-simplify]: Simplify (- 1) into -1 0.224 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.225 * [backup-simplify]: Simplify (log -1) into (log -1) 0.225 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.225 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.226 * [backup-simplify]: Simplify (- 0) into 0 0.226 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.230 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.230 * [backup-simplify]: Simplify -1.0 into -1.0 0.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.231 * [backup-simplify]: Simplify (- 0) into 0 0.232 * [backup-simplify]: Simplify (+ 0 0) into 0 0.239 * [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 0.239 * [backup-simplify]: Simplify -0.5 into -0.5 0.240 * [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)))) 0.240 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.240 * [backup-simplify]: Simplify (- (log (+ 1.0 N)) (log N)) into (- (log (+ N 1.0)) (log N)) 0.240 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.240 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.240 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.240 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.240 * [taylor]: Taking taylor expansion of N in N 0.240 * [backup-simplify]: Simplify 0 into 0 0.240 * [backup-simplify]: Simplify 1 into 1 0.240 * [taylor]: Taking taylor expansion of 1.0 in N 0.240 * [backup-simplify]: Simplify 1.0 into 1.0 0.240 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.241 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.241 * [taylor]: Taking taylor expansion of (log 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 0.241 * [backup-simplify]: Simplify (log 1) into 0 0.241 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.241 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.241 * [taylor]: Taking taylor expansion of (+ N 1.0) 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 0.241 * [taylor]: Taking taylor expansion of 1.0 in N 0.241 * [backup-simplify]: Simplify 1.0 into 1.0 0.241 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.242 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.242 * [taylor]: Taking taylor expansion of (log N) in N 0.242 * [taylor]: Taking taylor expansion of N in N 0.242 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify 1 into 1 0.242 * [backup-simplify]: Simplify (log 1) into 0 0.242 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.242 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.243 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 0.243 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.243 * [backup-simplify]: Simplify (+ 1 0) into 1 0.246 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.247 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.247 * [backup-simplify]: Simplify (- 0) into 0 0.247 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.247 * [backup-simplify]: Simplify 1.0 into 1.0 0.248 * [backup-simplify]: Simplify (+ 0 0) into 0 0.254 * [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)) 0.255 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.256 * [backup-simplify]: Simplify (- 0) into 0 0.257 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.259 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.261 * [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))) 0.261 * [backup-simplify]: Simplify (- (log (+ 1.0 (/ 1 N))) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 0.261 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.261 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.261 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.261 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.261 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.261 * [taylor]: Taking taylor expansion of N in N 0.261 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify 1 into 1 0.262 * [backup-simplify]: Simplify (/ 1 1) into 1 0.262 * [taylor]: Taking taylor expansion of 1.0 in N 0.262 * [backup-simplify]: Simplify 1.0 into 1.0 0.262 * [backup-simplify]: Simplify (+ 1 0) into 1 0.262 * [backup-simplify]: Simplify (log 1) into 0 0.262 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.262 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.262 * [taylor]: Taking taylor expansion of N in N 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify 1 into 1 0.263 * [backup-simplify]: Simplify (/ 1 1) into 1 0.263 * [backup-simplify]: Simplify (log 1) into 0 0.263 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.263 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.263 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.263 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.263 * [taylor]: Taking taylor expansion of N in N 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify 1 into 1 0.263 * [backup-simplify]: Simplify (/ 1 1) into 1 0.263 * [taylor]: Taking taylor expansion of 1.0 in N 0.263 * [backup-simplify]: Simplify 1.0 into 1.0 0.264 * [backup-simplify]: Simplify (+ 1 0) into 1 0.264 * [backup-simplify]: Simplify (log 1) into 0 0.264 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.264 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.264 * [taylor]: Taking taylor expansion of N in N 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify 1 into 1 0.264 * [backup-simplify]: Simplify (/ 1 1) into 1 0.264 * [backup-simplify]: Simplify (log 1) into 0 0.265 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.265 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.265 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.265 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.265 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.266 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.270 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.271 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.272 * [backup-simplify]: Simplify (- 0) into 0 0.272 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.272 * [backup-simplify]: Simplify 1.0 into 1.0 0.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.273 * [backup-simplify]: Simplify (+ 0 0) into 0 0.279 * [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 0.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.283 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.284 * [backup-simplify]: Simplify (- 0) into 0 0.284 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.285 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.286 * [backup-simplify]: Simplify (+ 0 0) into 0 0.308 * [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 0.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.315 * [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 0.315 * [backup-simplify]: Simplify (- 0) into 0 0.316 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.316 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.317 * [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)))) 0.317 * [backup-simplify]: Simplify (- (log (+ 1.0 (/ 1 (- N)))) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 0.317 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.317 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.317 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.317 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.317 * [taylor]: Taking taylor expansion of 1.0 in N 0.317 * [backup-simplify]: Simplify 1.0 into 1.0 0.317 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.317 * [taylor]: Taking taylor expansion of N in N 0.317 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify 1 into 1 0.318 * [backup-simplify]: Simplify (/ 1 1) into 1 0.318 * [backup-simplify]: Simplify (- 1) into -1 0.318 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.319 * [backup-simplify]: Simplify (log -1) into (log -1) 0.319 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.319 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.319 * [taylor]: Taking taylor expansion of -1 in N 0.319 * [backup-simplify]: Simplify -1 into -1 0.319 * [taylor]: Taking taylor expansion of N in N 0.319 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify 1 into 1 0.320 * [backup-simplify]: Simplify (/ -1 1) into -1 0.320 * [backup-simplify]: Simplify (log -1) into (log -1) 0.320 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.320 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.320 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.320 * [taylor]: Taking taylor expansion of 1.0 in N 0.320 * [backup-simplify]: Simplify 1.0 into 1.0 0.320 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.320 * [taylor]: Taking taylor expansion of N in N 0.320 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify 1 into 1 0.321 * [backup-simplify]: Simplify (/ 1 1) into 1 0.321 * [backup-simplify]: Simplify (- 1) into -1 0.321 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.322 * [backup-simplify]: Simplify (log -1) into (log -1) 0.322 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.322 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.322 * [taylor]: Taking taylor expansion of -1 in N 0.322 * [backup-simplify]: Simplify -1 into -1 0.322 * [taylor]: Taking taylor expansion of N in N 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify 1 into 1 0.322 * [backup-simplify]: Simplify (/ -1 1) into -1 0.323 * [backup-simplify]: Simplify (log -1) into (log -1) 0.324 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.325 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.325 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.326 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.326 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.327 * [backup-simplify]: Simplify (- 0) into 0 0.328 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.334 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.335 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.337 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.337 * [backup-simplify]: Simplify (- 0) into 0 0.338 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 0.338 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.339 * [backup-simplify]: Simplify (- 0) into 0 0.340 * [backup-simplify]: Simplify (+ 0 0) into 0 0.351 * [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 0.353 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.355 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.356 * [backup-simplify]: Simplify (- 0) into 0 0.356 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.357 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.358 * [backup-simplify]: Simplify (- 0) into 0 0.358 * [backup-simplify]: Simplify (+ 0 0) into 0 0.374 * [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 0.374 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.377 * [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 0.377 * [backup-simplify]: Simplify (- 0) into 0 0.378 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 0.378 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.379 * [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)))) 0.379 * * * [progress]: simplifying candidates 0.381 * [simplify]: Simplifying: (expm1 (log (+ 1.0 N))) (log1p (log (+ 1.0 N))) (log (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (log (cbrt (+ 1.0 N))) (log (sqrt (+ 1.0 N))) (log (sqrt (+ 1.0 N))) (log 1) (log (+ 1.0 N)) (log 1) (log (+ 1.0 N)) (log (+ (pow 1.0 3) (pow N 3))) (log (+ (* 1.0 1.0) (- (* N N) (* 1.0 N)))) (log (- (* 1.0 1.0) (* N N))) (log (- 1.0 N)) (log (+ 1.0 N)) (log (log (+ 1.0 N))) (exp (log (+ 1.0 N))) (* (cbrt (log (+ 1.0 N))) (cbrt (log (+ 1.0 N)))) (cbrt (log (+ 1.0 N))) (* (* (log (+ 1.0 N)) (log (+ 1.0 N))) (log (+ 1.0 N))) (sqrt (log (+ 1.0 N))) (sqrt (log (+ 1.0 N))) (fma 1 (log (+ 1.0 N)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ 1.0 N)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log (+ 1.0 N)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log (+ 1.0 N)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log (+ 1.0 N))) (cbrt (log (+ 1.0 N)))) (cbrt (log (+ 1.0 N))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log (+ 1.0 N))) (cbrt (log (+ 1.0 N)))) (cbrt (log (+ 1.0 N))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (* (cbrt (log (+ 1.0 N))) (cbrt (log (+ 1.0 N)))) (cbrt (log (+ 1.0 N))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (* (cbrt (log (+ 1.0 N))) (cbrt (log (+ 1.0 N)))) (cbrt (log (+ 1.0 N))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log (+ 1.0 N))) (sqrt (log (+ 1.0 N))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log (+ 1.0 N))) (sqrt (log (+ 1.0 N))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (sqrt (log (+ 1.0 N))) (sqrt (log (+ 1.0 N))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (sqrt (log (+ 1.0 N))) (sqrt (log (+ 1.0 N))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ 1.0 N)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ 1.0 N)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log (+ 1.0 N)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log (+ 1.0 N)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (expm1 (- (log (+ 1.0 N)) (log N))) (log1p (- (log (+ 1.0 N)) (log N))) (- (log N)) (- (log N)) (- (log N)) (- (log N)) (/ (+ 1.0 N) N) (log (- (log (+ 1.0 N)) (log N))) (exp (- (log (+ 1.0 N)) (log N))) (* (cbrt (- (log (+ 1.0 N)) (log N))) (cbrt (- (log (+ 1.0 N)) (log N)))) (cbrt (- (log (+ 1.0 N)) (log N))) (* (* (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N))) (- (log (+ 1.0 N)) (log N))) (sqrt (- (log (+ 1.0 N)) (log N))) (sqrt (- (log (+ 1.0 N)) (log N))) (- (pow (log (+ 1.0 N)) 3) (pow (log N) 3)) (+ (* (log (+ 1.0 N)) (log (+ 1.0 N))) (+ (* (log N) (log N)) (* (log (+ 1.0 N)) (log N)))) (- (log N)) (- (* (log (+ 1.0 N)) (log (+ 1.0 N))) (* (log N) (log N))) (+ (log (+ 1.0 N)) (log N)) (+ (sqrt (log (+ 1.0 N))) (sqrt (log N))) (- (sqrt (log (+ 1.0 N))) (sqrt (log N))) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log (* (cbrt N) (cbrt N)))) (- (log (+ 1.0 N)) (log (sqrt N))) (- (log (+ 1.0 N)) (log 1)) (- (log (cbrt (+ 1.0 N))) (log N)) (- (log (sqrt (+ 1.0 N))) (log N)) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N)) (+ (log (+ (* 1.0 1.0) (- (* N N) (* 1.0 N)))) (log N)) (+ (log (- 1.0 N)) (log N)) (- (log N)) (- (+ (log 1.0) (* 1.0 N)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ (log 1.0) (* 1.0 N)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.382 * * [simplify]: iteration 0: 126 enodes 0.406 * * [simplify]: iteration 1: 287 enodes 0.533 * * [simplify]: iteration 2: 1091 enodes 1.382 * * [simplify]: iteration complete: 5000 enodes 1.382 * * [simplify]: Extracting #0: cost 45 inf + 0 1.384 * * [simplify]: Extracting #1: cost 843 inf + 1 1.389 * * [simplify]: Extracting #2: cost 1511 inf + 118 1.400 * * [simplify]: Extracting #3: cost 1039 inf + 3068 1.406 * * [simplify]: Extracting #4: cost 293 inf + 8168 1.412 * * [simplify]: Extracting #5: cost 38 inf + 10913 1.419 * * [simplify]: Extracting #6: cost 5 inf + 11181 1.425 * * [simplify]: Extracting #7: cost 0 inf + 11206 1.431 * [simplify]: Simplified to: (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (* 2 (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (+ (pow 1.0 3) (pow N 3))) (log (fma 1.0 1.0 (* N (- N 1.0)))) (log (* (+ 1.0 N) (- 1.0 N))) (log (- 1.0 N)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (pow (cbrt (log (+ N 1.0))) 3) (log N)) 0 (- (pow (cbrt (log (+ N 1.0))) 3) (log N)) 0 (- (pow (cbrt (log (+ N 1.0))) 3) (log N)) 0 (- (pow (cbrt (log (+ N 1.0))) 3) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (expm1 (- (log (+ N 1.0)) (log N))) (log1p (- (log (+ N 1.0)) (log N))) (- (log N)) (- (log N)) (- (log N)) (- (log N)) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (/ (+ N 1.0) N) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (pow (- (log (+ N 1.0)) (log N)) 3) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (fma (log N) (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 N)) (+ (sqrt (log N)) (sqrt (log (+ N 1.0)))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (log (+ N 1.0)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log N) (log (fma 1.0 1.0 (* N (- N 1.0))))) (+ (log N) (log (- 1.0 N))) (- (log N)) (fma -1/2 (/ N (/ (* 1.0 1.0) N)) (fma N 1.0 (log 1.0))) (+ (- (/ 1.0 N) (/ (/ 0.5 N) N)) (log N)) (- (+ (/ 1.0 N) (- (log -1) (/ (/ 0.5 N) N))) (log (/ -1 N))) (fma N 1.0 (- (log 1.0) (fma (/ 1/2 1.0) (/ (pow N 2) 1.0) (log N)))) (+ (/ 1.0 N) (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5))) (+ (/ 1.0 N) (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5))) 1.432 * * * [progress]: adding candidates to table 1.730 * * [progress]: iteration 2 / 4 1.730 * * * [progress]: picking best candidate 1.740 * * * * [pick]: Picked # 1.740 * * * [progress]: localizing error 1.756 * * * [progress]: generating rewritten candidates 1.756 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.766 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 1.798 * * * [progress]: generating series expansions 1.798 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.799 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 1.799 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 1.799 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.799 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.799 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.799 * [taylor]: Taking taylor expansion of N in N 1.799 * [backup-simplify]: Simplify 0 into 0 1.799 * [backup-simplify]: Simplify 1 into 1 1.799 * [taylor]: Taking taylor expansion of 1.0 in N 1.799 * [backup-simplify]: Simplify 1.0 into 1.0 1.799 * [taylor]: Taking taylor expansion of N in N 1.799 * [backup-simplify]: Simplify 0 into 0 1.799 * [backup-simplify]: Simplify 1 into 1 1.800 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.800 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.801 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.801 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.801 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.801 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.801 * [taylor]: Taking taylor expansion of N in N 1.801 * [backup-simplify]: Simplify 0 into 0 1.801 * [backup-simplify]: Simplify 1 into 1 1.801 * [taylor]: Taking taylor expansion of 1.0 in N 1.801 * [backup-simplify]: Simplify 1.0 into 1.0 1.801 * [taylor]: Taking taylor expansion of N in N 1.801 * [backup-simplify]: Simplify 0 into 0 1.801 * [backup-simplify]: Simplify 1 into 1 1.801 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.802 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.802 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.803 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 1.804 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 1.804 * [backup-simplify]: Simplify (+ 1 0) into 1 1.805 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 1.810 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 1.811 * [backup-simplify]: Simplify 1.0 into 1.0 1.811 * [backup-simplify]: Simplify (+ 0 0) into 0 1.812 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1.822 * [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)) 1.823 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 1.825 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (log 1.0) (* 1.0 N)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 1.825 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 1.825 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 1.825 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.825 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.825 * [taylor]: Taking taylor expansion of N in N 1.825 * [backup-simplify]: Simplify 0 into 0 1.825 * [backup-simplify]: Simplify 1 into 1 1.825 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.825 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.825 * [taylor]: Taking taylor expansion of N in N 1.825 * [backup-simplify]: Simplify 0 into 0 1.825 * [backup-simplify]: Simplify 1 into 1 1.826 * [backup-simplify]: Simplify (/ 1 1) into 1 1.826 * [taylor]: Taking taylor expansion of 1.0 in N 1.826 * [backup-simplify]: Simplify 1.0 into 1.0 1.827 * [backup-simplify]: Simplify (+ 1 0) into 1 1.827 * [backup-simplify]: Simplify (* 0 1) into 0 1.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.828 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.829 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.829 * [backup-simplify]: Simplify (log 1) into 0 1.829 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.829 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.829 * [taylor]: Taking taylor expansion of N in N 1.829 * [backup-simplify]: Simplify 0 into 0 1.829 * [backup-simplify]: Simplify 1 into 1 1.829 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.829 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.829 * [taylor]: Taking taylor expansion of N in N 1.829 * [backup-simplify]: Simplify 0 into 0 1.829 * [backup-simplify]: Simplify 1 into 1 1.830 * [backup-simplify]: Simplify (/ 1 1) into 1 1.830 * [taylor]: Taking taylor expansion of 1.0 in N 1.830 * [backup-simplify]: Simplify 1.0 into 1.0 1.830 * [backup-simplify]: Simplify (+ 1 0) into 1 1.831 * [backup-simplify]: Simplify (* 0 1) into 0 1.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.832 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.833 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.833 * [backup-simplify]: Simplify (log 1) into 0 1.833 * [backup-simplify]: Simplify 0 into 0 1.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.834 * [backup-simplify]: Simplify (+ 0 0) into 0 1.838 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 1.842 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 1.842 * [backup-simplify]: Simplify 1.0 into 1.0 1.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.843 * [backup-simplify]: Simplify (+ 0 0) into 0 1.843 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 1.853 * [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 1.853 * [backup-simplify]: Simplify -0.5 into -0.5 1.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.854 * [backup-simplify]: Simplify (+ 0 0) into 0 1.855 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 1.866 * [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 1.866 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 1.866 * [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)))) 1.867 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 1.867 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 1.867 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.867 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.867 * [taylor]: Taking taylor expansion of -1 in N 1.867 * [backup-simplify]: Simplify -1 into -1 1.867 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.867 * [taylor]: Taking taylor expansion of N in N 1.867 * [backup-simplify]: Simplify 0 into 0 1.867 * [backup-simplify]: Simplify 1 into 1 1.867 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.867 * [taylor]: Taking taylor expansion of 1.0 in N 1.867 * [backup-simplify]: Simplify 1.0 into 1.0 1.867 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.867 * [taylor]: Taking taylor expansion of N in N 1.867 * [backup-simplify]: Simplify 0 into 0 1.867 * [backup-simplify]: Simplify 1 into 1 1.868 * [backup-simplify]: Simplify (/ 1 1) into 1 1.868 * [backup-simplify]: Simplify (- 1) into -1 1.868 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.869 * [backup-simplify]: Simplify (* 0 -1) into 0 1.869 * [backup-simplify]: Simplify (* -1 0) into 0 1.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.871 * [backup-simplify]: Simplify (- 0) into 0 1.871 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.872 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 1.873 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 1.873 * [backup-simplify]: Simplify (log 1) into 0 1.873 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.873 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.873 * [taylor]: Taking taylor expansion of -1 in N 1.873 * [backup-simplify]: Simplify -1 into -1 1.873 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.873 * [taylor]: Taking taylor expansion of N in N 1.873 * [backup-simplify]: Simplify 0 into 0 1.873 * [backup-simplify]: Simplify 1 into 1 1.873 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.873 * [taylor]: Taking taylor expansion of 1.0 in N 1.873 * [backup-simplify]: Simplify 1.0 into 1.0 1.873 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.874 * [taylor]: Taking taylor expansion of N in N 1.874 * [backup-simplify]: Simplify 0 into 0 1.874 * [backup-simplify]: Simplify 1 into 1 1.874 * [backup-simplify]: Simplify (/ 1 1) into 1 1.874 * [backup-simplify]: Simplify (- 1) into -1 1.875 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.875 * [backup-simplify]: Simplify (* 0 -1) into 0 1.876 * [backup-simplify]: Simplify (* -1 0) into 0 1.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.877 * [backup-simplify]: Simplify (- 0) into 0 1.877 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.878 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 1.879 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 1.879 * [backup-simplify]: Simplify (log 1) into 0 1.880 * [backup-simplify]: Simplify 0 into 0 1.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.881 * [backup-simplify]: Simplify (- 0) into 0 1.881 * [backup-simplify]: Simplify (+ 0 0) into 0 1.885 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 1.887 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 1.895 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 1.895 * [backup-simplify]: Simplify -1.0 into -1.0 1.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.897 * [backup-simplify]: Simplify (- 0) into 0 1.897 * [backup-simplify]: Simplify (+ 0 0) into 0 1.899 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 1.901 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 1.916 * [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 1.916 * [backup-simplify]: Simplify -0.5 into -0.5 1.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.917 * [backup-simplify]: Simplify (- 0) into 0 1.917 * [backup-simplify]: Simplify (+ 0 0) into 0 1.919 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 1.920 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 1.941 * [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 1.941 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 1.941 * [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)))) 1.942 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 1.942 * [backup-simplify]: Simplify (/ (+ N 1.0) N) into (/ (+ N 1.0) N) 1.942 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 1.942 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.942 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.942 * [taylor]: Taking taylor expansion of N in N 1.942 * [backup-simplify]: Simplify 0 into 0 1.942 * [backup-simplify]: Simplify 1 into 1 1.942 * [taylor]: Taking taylor expansion of 1.0 in N 1.942 * [backup-simplify]: Simplify 1.0 into 1.0 1.942 * [taylor]: Taking taylor expansion of N in N 1.942 * [backup-simplify]: Simplify 0 into 0 1.942 * [backup-simplify]: Simplify 1 into 1 1.943 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.943 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.943 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.943 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.943 * [taylor]: Taking taylor expansion of N in N 1.943 * [backup-simplify]: Simplify 0 into 0 1.943 * [backup-simplify]: Simplify 1 into 1 1.943 * [taylor]: Taking taylor expansion of 1.0 in N 1.943 * [backup-simplify]: Simplify 1.0 into 1.0 1.943 * [taylor]: Taking taylor expansion of N in N 1.943 * [backup-simplify]: Simplify 0 into 0 1.943 * [backup-simplify]: Simplify 1 into 1 1.944 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.944 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.944 * [backup-simplify]: Simplify 1.0 into 1.0 1.945 * [backup-simplify]: Simplify (+ 1 0) into 1 1.946 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 1.946 * [backup-simplify]: Simplify 1 into 1 1.946 * [backup-simplify]: Simplify (+ 0 0) into 0 1.948 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1.948 * [backup-simplify]: Simplify 0 into 0 1.948 * [backup-simplify]: Simplify (+ 0 0) into 0 1.949 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.949 * [backup-simplify]: Simplify 0 into 0 1.950 * [backup-simplify]: Simplify (+ 0 0) into 0 1.951 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.951 * [backup-simplify]: Simplify 0 into 0 1.952 * [backup-simplify]: Simplify (+ 0 0) into 0 1.953 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.953 * [backup-simplify]: Simplify 0 into 0 1.953 * [backup-simplify]: Simplify (+ 0 0) into 0 1.955 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.955 * [backup-simplify]: Simplify 0 into 0 1.955 * [backup-simplify]: Simplify (+ 0 0) into 0 1.956 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.956 * [backup-simplify]: Simplify 0 into 0 1.957 * [backup-simplify]: Simplify (+ 1 (* 1.0 (/ 1 N))) into (+ (* 1.0 (/ 1 N)) 1) 1.957 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1.0) (/ 1 N)) into (* N (+ (/ 1 N) 1.0)) 1.957 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 1.957 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.957 * [taylor]: Taking taylor expansion of N in N 1.957 * [backup-simplify]: Simplify 0 into 0 1.957 * [backup-simplify]: Simplify 1 into 1 1.957 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.957 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.957 * [taylor]: Taking taylor expansion of N in N 1.957 * [backup-simplify]: Simplify 0 into 0 1.957 * [backup-simplify]: Simplify 1 into 1 1.957 * [backup-simplify]: Simplify (/ 1 1) into 1 1.957 * [taylor]: Taking taylor expansion of 1.0 in N 1.958 * [backup-simplify]: Simplify 1.0 into 1.0 1.958 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.958 * [taylor]: Taking taylor expansion of N in N 1.958 * [backup-simplify]: Simplify 0 into 0 1.958 * [backup-simplify]: Simplify 1 into 1 1.958 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.958 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.958 * [taylor]: Taking taylor expansion of N in N 1.958 * [backup-simplify]: Simplify 0 into 0 1.958 * [backup-simplify]: Simplify 1 into 1 1.958 * [backup-simplify]: Simplify (/ 1 1) into 1 1.958 * [taylor]: Taking taylor expansion of 1.0 in N 1.958 * [backup-simplify]: Simplify 1.0 into 1.0 1.959 * [backup-simplify]: Simplify (+ 1 0) into 1 1.959 * [backup-simplify]: Simplify (* 0 1) into 0 1.959 * [backup-simplify]: Simplify 0 into 0 1.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.960 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.961 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.961 * [backup-simplify]: Simplify 1 into 1 1.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.963 * [backup-simplify]: Simplify (+ 0 0) into 0 1.966 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 1.966 * [backup-simplify]: Simplify 1.0 into 1.0 1.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.967 * [backup-simplify]: Simplify (+ 0 0) into 0 1.967 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 1.967 * [backup-simplify]: Simplify 0 into 0 1.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.968 * [backup-simplify]: Simplify (+ 0 0) into 0 1.969 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 1.969 * [backup-simplify]: Simplify 0 into 0 1.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.970 * [backup-simplify]: Simplify (+ 0 0) into 0 1.971 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))) into 0 1.971 * [backup-simplify]: Simplify 0 into 0 1.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.972 * [backup-simplify]: Simplify (+ 0 0) into 0 1.973 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))) into 0 1.973 * [backup-simplify]: Simplify 0 into 0 1.973 * [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 1.973 * [backup-simplify]: Simplify (+ 0 0) into 0 1.975 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))))) into 0 1.975 * [backup-simplify]: Simplify 0 into 0 1.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.975 * [backup-simplify]: Simplify (+ 0 0) into 0 1.977 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))))) into 0 1.977 * [backup-simplify]: Simplify 0 into 0 1.977 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) 1) into (+ (* 1.0 (/ 1 N)) 1) 1.977 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (* N (- 1.0 (/ 1 N)))) 1.977 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 1.977 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.977 * [taylor]: Taking taylor expansion of -1 in N 1.977 * [backup-simplify]: Simplify -1 into -1 1.977 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.977 * [taylor]: Taking taylor expansion of N in N 1.977 * [backup-simplify]: Simplify 0 into 0 1.977 * [backup-simplify]: Simplify 1 into 1 1.977 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.977 * [taylor]: Taking taylor expansion of 1.0 in N 1.977 * [backup-simplify]: Simplify 1.0 into 1.0 1.977 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.977 * [taylor]: Taking taylor expansion of N in N 1.977 * [backup-simplify]: Simplify 0 into 0 1.977 * [backup-simplify]: Simplify 1 into 1 1.977 * [backup-simplify]: Simplify (/ 1 1) into 1 1.977 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.978 * [taylor]: Taking taylor expansion of -1 in N 1.978 * [backup-simplify]: Simplify -1 into -1 1.978 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.978 * [taylor]: Taking taylor expansion of N in N 1.978 * [backup-simplify]: Simplify 0 into 0 1.978 * [backup-simplify]: Simplify 1 into 1 1.978 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.978 * [taylor]: Taking taylor expansion of 1.0 in N 1.978 * [backup-simplify]: Simplify 1.0 into 1.0 1.978 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.978 * [taylor]: Taking taylor expansion of N in N 1.978 * [backup-simplify]: Simplify 0 into 0 1.978 * [backup-simplify]: Simplify 1 into 1 1.978 * [backup-simplify]: Simplify (/ 1 1) into 1 1.978 * [backup-simplify]: Simplify (- 1) into -1 1.978 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.979 * [backup-simplify]: Simplify (* 0 -1) into 0 1.979 * [backup-simplify]: Simplify (* -1 0) into 0 1.979 * [backup-simplify]: Simplify 0 into 0 1.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.980 * [backup-simplify]: Simplify (- 0) into 0 1.980 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.980 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 1.981 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 1.981 * [backup-simplify]: Simplify 1 into 1 1.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.982 * [backup-simplify]: Simplify (- 0) into 0 1.983 * [backup-simplify]: Simplify (+ 0 0) into 0 1.985 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 1.986 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 1.987 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 1.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.988 * [backup-simplify]: Simplify (- 0) into 0 1.988 * [backup-simplify]: Simplify (+ 0 0) into 0 1.989 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 1.989 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 1.989 * [backup-simplify]: Simplify 0 into 0 1.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.990 * [backup-simplify]: Simplify (- 0) into 0 1.990 * [backup-simplify]: Simplify (+ 0 0) into 0 1.991 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 1.992 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 1.992 * [backup-simplify]: Simplify 0 into 0 1.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.993 * [backup-simplify]: Simplify (- 0) into 0 1.993 * [backup-simplify]: Simplify (+ 0 0) into 0 1.994 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 1.995 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))) into 0 1.995 * [backup-simplify]: Simplify 0 into 0 1.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.996 * [backup-simplify]: Simplify (- 0) into 0 1.996 * [backup-simplify]: Simplify (+ 0 0) into 0 1.997 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 1.998 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))) into 0 1.998 * [backup-simplify]: Simplify 0 into 0 1.999 * [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 1.999 * [backup-simplify]: Simplify (- 0) into 0 1.999 * [backup-simplify]: Simplify (+ 0 0) into 0 2.000 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 2.001 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))))) into 0 2.001 * [backup-simplify]: Simplify 0 into 0 2.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.002 * [backup-simplify]: Simplify (- 0) into 0 2.002 * [backup-simplify]: Simplify (+ 0 0) into 0 2.004 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))))) into 0 2.005 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))))) into 0 2.005 * [backup-simplify]: Simplify 0 into 0 2.005 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (- N))) 1) into (+ (* 1.0 (/ 1 N)) 1) 2.005 * * * [progress]: simplifying candidates 2.006 * [simplify]: Simplifying: (expm1 (log (/ (+ N 1.0) N))) (log1p (log (/ (+ N 1.0) N))) (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1)) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log 1) (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (exp (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (expm1 (/ (+ N 1.0) N)) (log1p (/ (+ N 1.0) N)) (- (log (+ N 1.0)) (log N)) (log (/ (+ N 1.0) N)) (exp (/ (+ N 1.0) N)) (/ (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* (* N N) N)) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (* (* (/ (+ N 1.0) N) (/ (+ N 1.0) N)) (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (- (+ N 1.0)) (- N) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)) (/ (cbrt (+ N 1.0)) (sqrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) 1) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (/ (+ N 1.0) 1) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (* N (- N 1.0)) (- (+ (log 1.0) (* 1.0 N)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 2.007 * * [simplify]: iteration 0: 112 enodes 2.035 * * [simplify]: iteration 1: 252 enodes 2.147 * * [simplify]: iteration 2: 1063 enodes 2.531 * * [simplify]: iteration complete: 5001 enodes 2.532 * * [simplify]: Extracting #0: cost 67 inf + 0 2.533 * * [simplify]: Extracting #1: cost 504 inf + 2 2.539 * * [simplify]: Extracting #2: cost 1432 inf + 630 2.552 * * [simplify]: Extracting #3: cost 1583 inf + 6570 2.569 * * [simplify]: Extracting #4: cost 123 inf + 16593 2.585 * * [simplify]: Extracting #5: cost 18 inf + 17215 2.611 * * [simplify]: Extracting #6: cost 0 inf + 17342 2.628 * [simplify]: Simplified to: (expm1 (log (/ (+ 1.0 N) N))) (log1p (log (/ (+ 1.0 N) N))) (* 2 (log (cbrt (/ (+ 1.0 N) N)))) (log (cbrt (/ (+ 1.0 N) N))) (log (sqrt (/ (+ 1.0 N) N))) (log (sqrt (/ (+ 1.0 N) N))) (* 2 (log (/ (cbrt (+ 1.0 N)) (cbrt N)))) (log (/ (cbrt (+ 1.0 N)) (cbrt N))) (- (* 2 (log (cbrt (+ 1.0 N)))) (log (sqrt N))) (log (/ (cbrt (+ 1.0 N)) (sqrt N))) (* 2 (log (cbrt (+ 1.0 N)))) (log (/ (cbrt (+ 1.0 N)) N)) (log (/ (sqrt (+ 1.0 N)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ 1.0 N)) (cbrt N))) (log (/ (sqrt (+ 1.0 N)) (sqrt N))) (log (/ (sqrt (+ 1.0 N)) (sqrt N))) (log (sqrt (+ 1.0 N))) (log (/ (sqrt (+ 1.0 N)) N)) (- (* 2 (log (cbrt N)))) (log (/ (+ 1.0 N) (cbrt N))) (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))) 0 (log (/ (+ 1.0 N) N)) (- (* 2 (log (cbrt N)))) (log (/ (+ 1.0 N) (cbrt N))) (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))) 0 (log (/ (+ 1.0 N) N)) 0 (log (/ (+ 1.0 N) N)) (log (+ 1.0 N)) (- (log N)) (log (+ 1.0 N)) (log N) (log (/ (+ 1.0 N) N)) (log (log (/ (+ 1.0 N) N))) (/ (+ 1.0 N) N) (* (cbrt (log (/ (+ 1.0 N) N))) (cbrt (log (/ (+ 1.0 N) N)))) (cbrt (log (/ (+ 1.0 N) N))) (pow (log (/ (+ 1.0 N) N)) 3) (sqrt (log (/ (+ 1.0 N) N))) (sqrt (log (/ (+ 1.0 N) N))) (expm1 (/ (+ 1.0 N) N)) (log1p (/ (+ 1.0 N) N)) (log (/ (+ 1.0 N) N)) (log (/ (+ 1.0 N) N)) (exp (/ (+ 1.0 N) N)) (pow (/ (+ 1.0 N) N) 3) (* (cbrt (/ (+ 1.0 N) N)) (cbrt (/ (+ 1.0 N) N))) (cbrt (/ (+ 1.0 N) N)) (pow (/ (+ 1.0 N) N) 3) (sqrt (/ (+ 1.0 N) N)) (sqrt (/ (+ 1.0 N) N)) (- (- N) 1.0) (- N) (* (/ (cbrt (+ 1.0 N)) (cbrt N)) (/ (cbrt (+ 1.0 N)) (cbrt N))) (/ (cbrt (+ 1.0 N)) (cbrt N)) (* (/ (cbrt (+ 1.0 N)) (sqrt N)) (cbrt (+ 1.0 N))) (/ (cbrt (+ 1.0 N)) (sqrt N)) (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (/ (cbrt (+ 1.0 N)) N) (/ (sqrt (+ 1.0 N)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1.0 N)) (cbrt N)) (/ (sqrt (+ 1.0 N)) (sqrt N)) (/ (sqrt (+ 1.0 N)) (sqrt N)) (sqrt (+ 1.0 N)) (/ (sqrt (+ 1.0 N)) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (+ 1.0 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1.0 N) (sqrt N)) 1 (/ (+ 1.0 N) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (+ 1.0 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1.0 N) (sqrt N)) 1 (/ (+ 1.0 N) N) (/ 1 N) (/ N (+ 1.0 N)) (/ (+ 1.0 N) (* (cbrt N) (cbrt N))) (/ (+ 1.0 N) (sqrt N)) (+ 1.0 N) (/ N (cbrt (+ 1.0 N))) (/ N (sqrt (+ 1.0 N))) (/ N (+ 1.0 N)) (/ N (+ 1.0 N)) (fma N (* 1.0 (- 1.0 N)) (pow N 3)) (* (- N 1.0) N) (- (fma N 1.0 (log 1.0)) (fma (/ 1/2 1.0) (/ (* N N) 1.0) (log N))) (+ (/ 1.0 N) (* (/ 1 (* N N)) (- (/ 0.3333333333333333 N) 0.5))) (+ (/ 1.0 N) (* (/ 1 (* N N)) (- (/ 0.3333333333333333 N) 0.5))) (+ (/ 1.0 N) 1) (+ (/ 1.0 N) 1) (+ (/ 1.0 N) 1) 2.629 * * * [progress]: adding candidates to table 2.934 * * [progress]: iteration 3 / 4 2.934 * * * [progress]: picking best candidate 2.949 * * * * [pick]: Picked # 2.949 * * * [progress]: localizing error 2.979 * * * [progress]: generating rewritten candidates 2.979 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 2.992 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 3.006 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 3.008 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 2) 3.021 * * * [progress]: generating series expansions 3.021 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 3.021 * [backup-simplify]: Simplify (log (/ (cbrt (+ 1.0 N)) (cbrt N))) into (log (pow (/ (+ N 1.0) N) 1/3)) 3.021 * [approximate]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in (N) around 0 3.021 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in N 3.021 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 3.021 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 3.021 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 3.021 * [taylor]: Taking taylor expansion of 1/3 in N 3.021 * [backup-simplify]: Simplify 1/3 into 1/3 3.021 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 3.021 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.022 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.022 * [taylor]: Taking taylor expansion of N in N 3.022 * [backup-simplify]: Simplify 0 into 0 3.022 * [backup-simplify]: Simplify 1 into 1 3.022 * [taylor]: Taking taylor expansion of 1.0 in N 3.022 * [backup-simplify]: Simplify 1.0 into 1.0 3.022 * [taylor]: Taking taylor expansion of N in N 3.022 * [backup-simplify]: Simplify 0 into 0 3.022 * [backup-simplify]: Simplify 1 into 1 3.023 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.023 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.024 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.024 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 3.025 * [backup-simplify]: Simplify (* 1/3 (- (log 1.0) (log N))) into (* 1/3 (- (log 1.0) (log N))) 3.026 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1.0) (log N)))) into (exp (* 1/3 (- (log 1.0) (log N)))) 3.026 * [backup-simplify]: Simplify (log (exp (* 1/3 (- (log 1.0) (log N))))) into (* 1/3 (- (log 1.0) (log N))) 3.026 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in N 3.026 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 3.026 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 3.026 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 3.026 * [taylor]: Taking taylor expansion of 1/3 in N 3.027 * [backup-simplify]: Simplify 1/3 into 1/3 3.027 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 3.027 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.027 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.027 * [taylor]: Taking taylor expansion of N in N 3.027 * [backup-simplify]: Simplify 0 into 0 3.027 * [backup-simplify]: Simplify 1 into 1 3.027 * [taylor]: Taking taylor expansion of 1.0 in N 3.027 * [backup-simplify]: Simplify 1.0 into 1.0 3.027 * [taylor]: Taking taylor expansion of N in N 3.027 * [backup-simplify]: Simplify 0 into 0 3.027 * [backup-simplify]: Simplify 1 into 1 3.027 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.028 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.028 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.029 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 3.030 * [backup-simplify]: Simplify (* 1/3 (- (log 1.0) (log N))) into (* 1/3 (- (log 1.0) (log N))) 3.030 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1.0) (log N)))) into (exp (* 1/3 (- (log 1.0) (log N)))) 3.031 * [backup-simplify]: Simplify (log (exp (* 1/3 (- (log 1.0) (log N))))) into (* 1/3 (- (log 1.0) (log N))) 3.031 * [backup-simplify]: Simplify (* 1/3 (- (log 1.0) (log N))) into (* 1/3 (- (log 1.0) (log N))) 3.032 * [backup-simplify]: Simplify (+ 1 0) into 1 3.033 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 3.039 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 3.040 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 3.041 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (log 1.0) (log N)))) into 0.3333333333333333 3.044 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (exp (* 1/3 (- (log 1.0) (log N))))) 3.046 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 0.3333333333333333 (exp (* 1/3 (- (log 1.0) (log N)))))) 1)) (pow (exp (* 1/3 (- (log 1.0) (log N)))) 1)))) 1) into 0.3333333333333333 3.046 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.046 * [backup-simplify]: Simplify (+ 0 0) into 0 3.047 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 3.060 * [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)) 3.061 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 3.064 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (- (log 1.0) (log N))))) into (- (* 1/6 (/ 1 (pow 1.0 2)))) 3.073 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (- (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 3.077 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 0.3333333333333333 (exp (* 1/3 (- (log 1.0) (log N)))))) 2)) (pow (exp (* 1/3 (- (log 1.0) (log N)))) 2))) (* 1 (/ (* 1 (pow (* 2 (* (exp (* 1/3 (- (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2)))))) 1)) (pow (exp (* 1/3 (- (log 1.0) (log N)))) 1)))) 2) into (/ -1/6 (pow 1.0 2)) 3.078 * [backup-simplify]: Simplify (/ -1/6 (pow 1.0 2)) into (/ -1/6 (pow 1.0 2)) 3.085 * [backup-simplify]: Simplify (+ (* (/ -1/6 (pow 1.0 2)) (pow N 2)) (+ (* 0.3333333333333333 N) (* 1/3 (- (log 1.0) (log N))))) into (- (+ (* 1/3 (log 1.0)) (* 0.3333333333333333 N)) (+ (* 1/6 (/ (pow N 2) (pow 1.0 2))) (* 1/3 (log N)))) 3.085 * [backup-simplify]: Simplify (log (/ (cbrt (+ 1.0 (/ 1 N))) (cbrt (/ 1 N)))) into (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) 3.085 * [approximate]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in (N) around 0 3.085 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in N 3.085 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 3.085 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 3.085 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 3.085 * [taylor]: Taking taylor expansion of 1/3 in N 3.085 * [backup-simplify]: Simplify 1/3 into 1/3 3.085 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 3.085 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.085 * [taylor]: Taking taylor expansion of N in N 3.085 * [backup-simplify]: Simplify 0 into 0 3.085 * [backup-simplify]: Simplify 1 into 1 3.085 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.085 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.085 * [taylor]: Taking taylor expansion of N in N 3.085 * [backup-simplify]: Simplify 0 into 0 3.085 * [backup-simplify]: Simplify 1 into 1 3.085 * [backup-simplify]: Simplify (/ 1 1) into 1 3.085 * [taylor]: Taking taylor expansion of 1.0 in N 3.085 * [backup-simplify]: Simplify 1.0 into 1.0 3.086 * [backup-simplify]: Simplify (+ 1 0) into 1 3.086 * [backup-simplify]: Simplify (* 0 1) into 0 3.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.087 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.087 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 3.087 * [backup-simplify]: Simplify (log 1) into 0 3.088 * [backup-simplify]: Simplify (* 1/3 0) into 0 3.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.088 * [backup-simplify]: Simplify (+ 0 0) into 0 3.090 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 3.094 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 3.095 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 0)) into 0.3333333333333333 3.095 * [backup-simplify]: Simplify (exp 0) into 1 3.095 * [backup-simplify]: Simplify (log 1) into 0 3.095 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in N 3.095 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 3.095 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 3.095 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 3.095 * [taylor]: Taking taylor expansion of 1/3 in N 3.095 * [backup-simplify]: Simplify 1/3 into 1/3 3.095 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 3.095 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.095 * [taylor]: Taking taylor expansion of N in N 3.095 * [backup-simplify]: Simplify 0 into 0 3.095 * [backup-simplify]: Simplify 1 into 1 3.095 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.095 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.095 * [taylor]: Taking taylor expansion of N in N 3.095 * [backup-simplify]: Simplify 0 into 0 3.095 * [backup-simplify]: Simplify 1 into 1 3.095 * [backup-simplify]: Simplify (/ 1 1) into 1 3.095 * [taylor]: Taking taylor expansion of 1.0 in N 3.095 * [backup-simplify]: Simplify 1.0 into 1.0 3.096 * [backup-simplify]: Simplify (+ 1 0) into 1 3.096 * [backup-simplify]: Simplify (* 0 1) into 0 3.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.097 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.097 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 3.097 * [backup-simplify]: Simplify (log 1) into 0 3.098 * [backup-simplify]: Simplify (* 1/3 0) into 0 3.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.098 * [backup-simplify]: Simplify (+ 0 0) into 0 3.100 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 3.103 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 3.104 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 0)) into 0.3333333333333333 3.104 * [backup-simplify]: Simplify (exp 0) into 1 3.105 * [backup-simplify]: Simplify (log 1) into 0 3.105 * [backup-simplify]: Simplify 0 into 0 3.107 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into 0.3333333333333333 3.110 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0.3333333333333333) 1)) (pow 1 1)))) 1) into 0.3333333333333333 3.110 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.111 * [backup-simplify]: Simplify (+ 0 0) into 0 3.112 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 3.118 * [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 3.121 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 0))) into (- 0.16666666666666666) 3.128 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into -0.1111111111111111 3.142 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0.3333333333333333) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.1111111111111111) 1)) (pow 1 1)))) 2) into -0.16666666666666666 3.142 * [backup-simplify]: Simplify -0.16666666666666666 into -0.16666666666666666 3.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.143 * [backup-simplify]: Simplify (+ 0 0) into 0 3.145 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 3.157 * [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 3.159 * [backup-simplify]: Simplify (+ (* 1/3 0.3333333333333333) (+ (* 0 -0.5) (+ (* 0 1.0) (* 0 0)))) into 0.1111111111111111 3.167 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.3333333333333333 3) 6)) (* (/ (pow 0.3333333333333333 1) 1) (/ (pow (- 0.16666666666666666) 1) 1)) (* (/ (pow 0.1111111111111111 1) 1)))) into 0.06172839506172839 3.190 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0.3333333333333333) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0.3333333333333333) 1) (pow (* 2 -0.1111111111111111) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0.06172839506172839) 1)) (pow 1 1)))) 6) into 0.1111111111111111 3.191 * [backup-simplify]: Simplify 0.1111111111111111 into 0.1111111111111111 3.191 * [backup-simplify]: Simplify (+ (* 0.1111111111111111 (pow (/ 1 N) 3)) (+ (* -0.16666666666666666 (pow (/ 1 N) 2)) (* 0.3333333333333333 (/ 1 N)))) into (- (+ (* 0.1111111111111111 (/ 1 (pow N 3))) (* 0.3333333333333333 (/ 1 N))) (* 0.16666666666666666 (/ 1 (pow N 2)))) 3.192 * [backup-simplify]: Simplify (log (/ (cbrt (+ 1.0 (/ 1 (- N)))) (cbrt (/ 1 (- N))))) into (log (* (pow (* N (- 1.0 (/ 1 N))) 1/3) (/ 1 (cbrt -1)))) 3.192 * [approximate]: Taking taylor expansion of (log (* (pow (* N (- 1.0 (/ 1 N))) 1/3) (/ 1 (cbrt -1)))) in (N) around 0 3.192 * [taylor]: Taking taylor expansion of (log (* (pow (* N (- 1.0 (/ 1 N))) 1/3) (/ 1 (cbrt -1)))) in N 3.192 * [taylor]: Taking taylor expansion of (* (pow (* N (- 1.0 (/ 1 N))) 1/3) (/ 1 (cbrt -1))) in N 3.192 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 3.192 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 3.192 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 3.192 * [taylor]: Taking taylor expansion of 1/3 in N 3.192 * [backup-simplify]: Simplify 1/3 into 1/3 3.192 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 3.192 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.192 * [taylor]: Taking taylor expansion of N in N 3.192 * [backup-simplify]: Simplify 0 into 0 3.192 * [backup-simplify]: Simplify 1 into 1 3.192 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.192 * [taylor]: Taking taylor expansion of 1.0 in N 3.192 * [backup-simplify]: Simplify 1.0 into 1.0 3.192 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.192 * [taylor]: Taking taylor expansion of N in N 3.192 * [backup-simplify]: Simplify 0 into 0 3.192 * [backup-simplify]: Simplify 1 into 1 3.193 * [backup-simplify]: Simplify (/ 1 1) into 1 3.194 * [backup-simplify]: Simplify (- 1) into -1 3.194 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.195 * [backup-simplify]: Simplify (* 0 -1) into 0 3.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.197 * [backup-simplify]: Simplify (- 0) into 0 3.197 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.198 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 3.198 * [backup-simplify]: Simplify (log -1) into (log -1) 3.200 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 3.201 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 3.201 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in N 3.201 * [taylor]: Taking taylor expansion of (cbrt -1) in N 3.201 * [taylor]: Taking taylor expansion of -1 in N 3.201 * [backup-simplify]: Simplify -1 into -1 3.202 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.203 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.204 * [backup-simplify]: Simplify (/ 1 (cbrt -1)) into (/ 1 (cbrt -1)) 3.207 * [backup-simplify]: Simplify (* (pow -1 1/3) (/ 1 (cbrt -1))) into (* (/ 1 (cbrt -1)) (pow -1 1/3)) 3.210 * [backup-simplify]: Simplify (log (* (/ 1 (cbrt -1)) (pow -1 1/3))) into (log (* (/ 1 (cbrt -1)) (pow -1 1/3))) 3.210 * [taylor]: Taking taylor expansion of (log (* (pow (* N (- 1.0 (/ 1 N))) 1/3) (/ 1 (cbrt -1)))) in N 3.210 * [taylor]: Taking taylor expansion of (* (pow (* N (- 1.0 (/ 1 N))) 1/3) (/ 1 (cbrt -1))) in N 3.210 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 3.211 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 3.211 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 3.211 * [taylor]: Taking taylor expansion of 1/3 in N 3.211 * [backup-simplify]: Simplify 1/3 into 1/3 3.211 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 3.211 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.211 * [taylor]: Taking taylor expansion of N in N 3.211 * [backup-simplify]: Simplify 0 into 0 3.211 * [backup-simplify]: Simplify 1 into 1 3.211 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.211 * [taylor]: Taking taylor expansion of 1.0 in N 3.211 * [backup-simplify]: Simplify 1.0 into 1.0 3.211 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.211 * [taylor]: Taking taylor expansion of N in N 3.211 * [backup-simplify]: Simplify 0 into 0 3.211 * [backup-simplify]: Simplify 1 into 1 3.211 * [backup-simplify]: Simplify (/ 1 1) into 1 3.212 * [backup-simplify]: Simplify (- 1) into -1 3.212 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.213 * [backup-simplify]: Simplify (* 0 -1) into 0 3.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.214 * [backup-simplify]: Simplify (- 0) into 0 3.214 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.215 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 3.216 * [backup-simplify]: Simplify (log -1) into (log -1) 3.217 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 3.218 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 3.218 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in N 3.218 * [taylor]: Taking taylor expansion of (cbrt -1) in N 3.218 * [taylor]: Taking taylor expansion of -1 in N 3.218 * [backup-simplify]: Simplify -1 into -1 3.219 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.220 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.221 * [backup-simplify]: Simplify (/ 1 (cbrt -1)) into (/ 1 (cbrt -1)) 3.223 * [backup-simplify]: Simplify (* (pow -1 1/3) (/ 1 (cbrt -1))) into (* (/ 1 (cbrt -1)) (pow -1 1/3)) 3.226 * [backup-simplify]: Simplify (log (* (/ 1 (cbrt -1)) (pow -1 1/3))) into (log (* (/ 1 (cbrt -1)) (pow -1 1/3))) 3.228 * [backup-simplify]: Simplify (log (* (/ 1 (cbrt -1)) (pow -1 1/3))) into (log (* (/ 1 (cbrt -1)) (pow -1 1/3))) 3.229 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))))) into 0 3.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.230 * [backup-simplify]: Simplify (- 0) into 0 3.230 * [backup-simplify]: Simplify (+ 0 0) into 0 3.232 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 3.236 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 3.237 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (log -1))) into (- 0.3333333333333333) 3.241 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (pow -1 1/3)) 3.246 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (* (* -0.3333333333333333 (pow -1 1/3)) (/ 1 (cbrt -1)))) into (- (* 0.3333333333333333 (* (/ 1 (cbrt -1)) (pow -1 1/3)))) 3.261 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 0.3333333333333333 (* (/ 1 (cbrt -1)) (pow -1 1/3))))) 1)) (pow (* (/ 1 (cbrt -1)) (pow -1 1/3)) 1)))) 1) into -0.3333333333333333 3.261 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 3.262 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.263 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))))) into 0 3.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.264 * [backup-simplify]: Simplify (- 0) into 0 3.265 * [backup-simplify]: Simplify (+ 0 0) into 0 3.266 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 3.278 * [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 3.279 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (log -1)))) into (- 0.16666666666666666) 3.285 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow -1 1/3)) 3.290 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (+ (* (* -0.3333333333333333 (pow -1 1/3)) 0) (* (* -0.1111111111111111 (pow -1 1/3)) (/ 1 (cbrt -1))))) into (- (* 0.1111111111111111 (* (/ 1 (cbrt -1)) (pow -1 1/3)))) 3.328 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 0.3333333333333333 (* (/ 1 (cbrt -1)) (pow -1 1/3))))) 2)) (pow (* (/ 1 (cbrt -1)) (pow -1 1/3)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 0.1111111111111111 (* (/ 1 (cbrt -1)) (pow -1 1/3))))) 1)) (pow (* (/ 1 (cbrt -1)) (pow -1 1/3)) 1)))) 2) into -0.16666666666666666 3.328 * [backup-simplify]: Simplify -0.16666666666666666 into -0.16666666666666666 3.330 * [backup-simplify]: Simplify (+ (* -0.16666666666666666 (pow (/ 1 (- N)) 2)) (+ (* -0.3333333333333333 (/ 1 (- N))) (log (* (/ 1 (cbrt -1)) (pow -1 1/3))))) into (- (+ (* 0.3333333333333333 (/ 1 N)) (log (* (/ 1 (cbrt -1)) (pow -1 1/3)))) (* 0.16666666666666666 (/ 1 (pow N 2)))) 3.330 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 3.330 * [backup-simplify]: Simplify (log (/ (cbrt (+ 1.0 N)) (cbrt N))) into (log (pow (/ (+ N 1.0) N) 1/3)) 3.330 * [approximate]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in (N) around 0 3.330 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in N 3.330 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 3.330 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 3.330 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 3.330 * [taylor]: Taking taylor expansion of 1/3 in N 3.331 * [backup-simplify]: Simplify 1/3 into 1/3 3.331 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 3.331 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.331 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.331 * [taylor]: Taking taylor expansion of N in N 3.331 * [backup-simplify]: Simplify 0 into 0 3.331 * [backup-simplify]: Simplify 1 into 1 3.331 * [taylor]: Taking taylor expansion of 1.0 in N 3.331 * [backup-simplify]: Simplify 1.0 into 1.0 3.331 * [taylor]: Taking taylor expansion of N in N 3.331 * [backup-simplify]: Simplify 0 into 0 3.331 * [backup-simplify]: Simplify 1 into 1 3.331 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.331 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.332 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.332 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 3.332 * [backup-simplify]: Simplify (* 1/3 (- (log 1.0) (log N))) into (* 1/3 (- (log 1.0) (log N))) 3.333 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1.0) (log N)))) into (exp (* 1/3 (- (log 1.0) (log N)))) 3.333 * [backup-simplify]: Simplify (log (exp (* 1/3 (- (log 1.0) (log N))))) into (* 1/3 (- (log 1.0) (log N))) 3.333 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in N 3.333 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 3.333 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 3.333 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 3.333 * [taylor]: Taking taylor expansion of 1/3 in N 3.333 * [backup-simplify]: Simplify 1/3 into 1/3 3.333 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 3.333 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.333 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.333 * [taylor]: Taking taylor expansion of N in N 3.333 * [backup-simplify]: Simplify 0 into 0 3.333 * [backup-simplify]: Simplify 1 into 1 3.333 * [taylor]: Taking taylor expansion of 1.0 in N 3.333 * [backup-simplify]: Simplify 1.0 into 1.0 3.333 * [taylor]: Taking taylor expansion of N in N 3.333 * [backup-simplify]: Simplify 0 into 0 3.333 * [backup-simplify]: Simplify 1 into 1 3.334 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.334 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.334 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.335 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 3.335 * [backup-simplify]: Simplify (* 1/3 (- (log 1.0) (log N))) into (* 1/3 (- (log 1.0) (log N))) 3.335 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1.0) (log N)))) into (exp (* 1/3 (- (log 1.0) (log N)))) 3.336 * [backup-simplify]: Simplify (log (exp (* 1/3 (- (log 1.0) (log N))))) into (* 1/3 (- (log 1.0) (log N))) 3.336 * [backup-simplify]: Simplify (* 1/3 (- (log 1.0) (log N))) into (* 1/3 (- (log 1.0) (log N))) 3.336 * [backup-simplify]: Simplify (+ 1 0) into 1 3.337 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 3.340 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 3.340 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 3.341 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (log 1.0) (log N)))) into 0.3333333333333333 3.343 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (exp (* 1/3 (- (log 1.0) (log N))))) 3.344 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 0.3333333333333333 (exp (* 1/3 (- (log 1.0) (log N)))))) 1)) (pow (exp (* 1/3 (- (log 1.0) (log N)))) 1)))) 1) into 0.3333333333333333 3.344 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.344 * [backup-simplify]: Simplify (+ 0 0) into 0 3.345 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 3.350 * [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)) 3.351 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 3.353 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (- (log 1.0) (log N))))) into (- (* 1/6 (/ 1 (pow 1.0 2)))) 3.361 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (- (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 3.367 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 0.3333333333333333 (exp (* 1/3 (- (log 1.0) (log N)))))) 2)) (pow (exp (* 1/3 (- (log 1.0) (log N)))) 2))) (* 1 (/ (* 1 (pow (* 2 (* (exp (* 1/3 (- (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2)))))) 1)) (pow (exp (* 1/3 (- (log 1.0) (log N)))) 1)))) 2) into (/ -1/6 (pow 1.0 2)) 3.368 * [backup-simplify]: Simplify (/ -1/6 (pow 1.0 2)) into (/ -1/6 (pow 1.0 2)) 3.370 * [backup-simplify]: Simplify (+ (* (/ -1/6 (pow 1.0 2)) (pow N 2)) (+ (* 0.3333333333333333 N) (* 1/3 (- (log 1.0) (log N))))) into (- (+ (* 1/3 (log 1.0)) (* 0.3333333333333333 N)) (+ (* 1/6 (/ (pow N 2) (pow 1.0 2))) (* 1/3 (log N)))) 3.371 * [backup-simplify]: Simplify (log (/ (cbrt (+ 1.0 (/ 1 N))) (cbrt (/ 1 N)))) into (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) 3.371 * [approximate]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in (N) around 0 3.371 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in N 3.371 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 3.371 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 3.371 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 3.371 * [taylor]: Taking taylor expansion of 1/3 in N 3.371 * [backup-simplify]: Simplify 1/3 into 1/3 3.371 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 3.371 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.371 * [taylor]: Taking taylor expansion of N in N 3.371 * [backup-simplify]: Simplify 0 into 0 3.371 * [backup-simplify]: Simplify 1 into 1 3.371 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.371 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.371 * [taylor]: Taking taylor expansion of N in N 3.371 * [backup-simplify]: Simplify 0 into 0 3.371 * [backup-simplify]: Simplify 1 into 1 3.371 * [backup-simplify]: Simplify (/ 1 1) into 1 3.371 * [taylor]: Taking taylor expansion of 1.0 in N 3.372 * [backup-simplify]: Simplify 1.0 into 1.0 3.372 * [backup-simplify]: Simplify (+ 1 0) into 1 3.372 * [backup-simplify]: Simplify (* 0 1) into 0 3.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.374 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.374 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 3.375 * [backup-simplify]: Simplify (log 1) into 0 3.375 * [backup-simplify]: Simplify (* 1/3 0) into 0 3.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.376 * [backup-simplify]: Simplify (+ 0 0) into 0 3.379 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 3.384 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 3.385 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 0)) into 0.3333333333333333 3.385 * [backup-simplify]: Simplify (exp 0) into 1 3.385 * [backup-simplify]: Simplify (log 1) into 0 3.385 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in N 3.385 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 3.385 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 3.385 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 3.385 * [taylor]: Taking taylor expansion of 1/3 in N 3.385 * [backup-simplify]: Simplify 1/3 into 1/3 3.385 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 3.385 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.385 * [taylor]: Taking taylor expansion of N in N 3.385 * [backup-simplify]: Simplify 0 into 0 3.385 * [backup-simplify]: Simplify 1 into 1 3.385 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.385 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.385 * [taylor]: Taking taylor expansion of N in N 3.385 * [backup-simplify]: Simplify 0 into 0 3.385 * [backup-simplify]: Simplify 1 into 1 3.385 * [backup-simplify]: Simplify (/ 1 1) into 1 3.385 * [taylor]: Taking taylor expansion of 1.0 in N 3.385 * [backup-simplify]: Simplify 1.0 into 1.0 3.386 * [backup-simplify]: Simplify (+ 1 0) into 1 3.386 * [backup-simplify]: Simplify (* 0 1) into 0 3.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.387 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.387 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 3.387 * [backup-simplify]: Simplify (log 1) into 0 3.388 * [backup-simplify]: Simplify (* 1/3 0) into 0 3.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.388 * [backup-simplify]: Simplify (+ 0 0) into 0 3.390 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 3.394 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 3.395 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 0)) into 0.3333333333333333 3.395 * [backup-simplify]: Simplify (exp 0) into 1 3.395 * [backup-simplify]: Simplify (log 1) into 0 3.395 * [backup-simplify]: Simplify 0 into 0 3.398 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into 0.3333333333333333 3.406 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0.3333333333333333) 1)) (pow 1 1)))) 1) into 0.3333333333333333 3.406 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.407 * [backup-simplify]: Simplify (+ 0 0) into 0 3.407 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 3.414 * [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 3.415 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 0))) into (- 0.16666666666666666) 3.420 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into -0.1111111111111111 3.436 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0.3333333333333333) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.1111111111111111) 1)) (pow 1 1)))) 2) into -0.16666666666666666 3.436 * [backup-simplify]: Simplify -0.16666666666666666 into -0.16666666666666666 3.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.438 * [backup-simplify]: Simplify (+ 0 0) into 0 3.439 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 3.456 * [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 3.458 * [backup-simplify]: Simplify (+ (* 1/3 0.3333333333333333) (+ (* 0 -0.5) (+ (* 0 1.0) (* 0 0)))) into 0.1111111111111111 3.467 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.3333333333333333 3) 6)) (* (/ (pow 0.3333333333333333 1) 1) (/ (pow (- 0.16666666666666666) 1) 1)) (* (/ (pow 0.1111111111111111 1) 1)))) into 0.06172839506172839 3.482 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0.3333333333333333) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0.3333333333333333) 1) (pow (* 2 -0.1111111111111111) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0.06172839506172839) 1)) (pow 1 1)))) 6) into 0.1111111111111111 3.482 * [backup-simplify]: Simplify 0.1111111111111111 into 0.1111111111111111 3.482 * [backup-simplify]: Simplify (+ (* 0.1111111111111111 (pow (/ 1 N) 3)) (+ (* -0.16666666666666666 (pow (/ 1 N) 2)) (* 0.3333333333333333 (/ 1 N)))) into (- (+ (* 0.1111111111111111 (/ 1 (pow N 3))) (* 0.3333333333333333 (/ 1 N))) (* 0.16666666666666666 (/ 1 (pow N 2)))) 3.482 * [backup-simplify]: Simplify (log (/ (cbrt (+ 1.0 (/ 1 (- N)))) (cbrt (/ 1 (- N))))) into (log (* (pow (* N (- 1.0 (/ 1 N))) 1/3) (/ 1 (cbrt -1)))) 3.482 * [approximate]: Taking taylor expansion of (log (* (pow (* N (- 1.0 (/ 1 N))) 1/3) (/ 1 (cbrt -1)))) in (N) around 0 3.482 * [taylor]: Taking taylor expansion of (log (* (pow (* N (- 1.0 (/ 1 N))) 1/3) (/ 1 (cbrt -1)))) in N 3.482 * [taylor]: Taking taylor expansion of (* (pow (* N (- 1.0 (/ 1 N))) 1/3) (/ 1 (cbrt -1))) in N 3.482 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 3.482 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 3.482 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 3.482 * [taylor]: Taking taylor expansion of 1/3 in N 3.482 * [backup-simplify]: Simplify 1/3 into 1/3 3.482 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 3.482 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.482 * [taylor]: Taking taylor expansion of N in N 3.482 * [backup-simplify]: Simplify 0 into 0 3.482 * [backup-simplify]: Simplify 1 into 1 3.482 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.483 * [taylor]: Taking taylor expansion of 1.0 in N 3.483 * [backup-simplify]: Simplify 1.0 into 1.0 3.483 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.483 * [taylor]: Taking taylor expansion of N in N 3.483 * [backup-simplify]: Simplify 0 into 0 3.483 * [backup-simplify]: Simplify 1 into 1 3.483 * [backup-simplify]: Simplify (/ 1 1) into 1 3.483 * [backup-simplify]: Simplify (- 1) into -1 3.483 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.484 * [backup-simplify]: Simplify (* 0 -1) into 0 3.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.484 * [backup-simplify]: Simplify (- 0) into 0 3.485 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.485 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 3.485 * [backup-simplify]: Simplify (log -1) into (log -1) 3.486 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 3.487 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 3.487 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in N 3.487 * [taylor]: Taking taylor expansion of (cbrt -1) in N 3.487 * [taylor]: Taking taylor expansion of -1 in N 3.487 * [backup-simplify]: Simplify -1 into -1 3.487 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.488 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.488 * [backup-simplify]: Simplify (/ 1 (cbrt -1)) into (/ 1 (cbrt -1)) 3.490 * [backup-simplify]: Simplify (* (pow -1 1/3) (/ 1 (cbrt -1))) into (* (/ 1 (cbrt -1)) (pow -1 1/3)) 3.493 * [backup-simplify]: Simplify (log (* (/ 1 (cbrt -1)) (pow -1 1/3))) into (log (* (/ 1 (cbrt -1)) (pow -1 1/3))) 3.493 * [taylor]: Taking taylor expansion of (log (* (pow (* N (- 1.0 (/ 1 N))) 1/3) (/ 1 (cbrt -1)))) in N 3.493 * [taylor]: Taking taylor expansion of (* (pow (* N (- 1.0 (/ 1 N))) 1/3) (/ 1 (cbrt -1))) in N 3.493 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 3.493 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 3.493 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 3.493 * [taylor]: Taking taylor expansion of 1/3 in N 3.493 * [backup-simplify]: Simplify 1/3 into 1/3 3.493 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 3.493 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.493 * [taylor]: Taking taylor expansion of N in N 3.493 * [backup-simplify]: Simplify 0 into 0 3.493 * [backup-simplify]: Simplify 1 into 1 3.493 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.493 * [taylor]: Taking taylor expansion of 1.0 in N 3.493 * [backup-simplify]: Simplify 1.0 into 1.0 3.493 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.493 * [taylor]: Taking taylor expansion of N in N 3.493 * [backup-simplify]: Simplify 0 into 0 3.493 * [backup-simplify]: Simplify 1 into 1 3.494 * [backup-simplify]: Simplify (/ 1 1) into 1 3.494 * [backup-simplify]: Simplify (- 1) into -1 3.495 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.495 * [backup-simplify]: Simplify (* 0 -1) into 0 3.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.496 * [backup-simplify]: Simplify (- 0) into 0 3.497 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.497 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 3.498 * [backup-simplify]: Simplify (log -1) into (log -1) 3.499 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 3.500 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 3.500 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in N 3.500 * [taylor]: Taking taylor expansion of (cbrt -1) in N 3.500 * [taylor]: Taking taylor expansion of -1 in N 3.500 * [backup-simplify]: Simplify -1 into -1 3.501 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.502 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.503 * [backup-simplify]: Simplify (/ 1 (cbrt -1)) into (/ 1 (cbrt -1)) 3.506 * [backup-simplify]: Simplify (* (pow -1 1/3) (/ 1 (cbrt -1))) into (* (/ 1 (cbrt -1)) (pow -1 1/3)) 3.509 * [backup-simplify]: Simplify (log (* (/ 1 (cbrt -1)) (pow -1 1/3))) into (log (* (/ 1 (cbrt -1)) (pow -1 1/3))) 3.513 * [backup-simplify]: Simplify (log (* (/ 1 (cbrt -1)) (pow -1 1/3))) into (log (* (/ 1 (cbrt -1)) (pow -1 1/3))) 3.514 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))))) into 0 3.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.515 * [backup-simplify]: Simplify (- 0) into 0 3.522 * [backup-simplify]: Simplify (+ 0 0) into 0 3.525 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 3.532 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 3.534 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (log -1))) into (- 0.3333333333333333) 3.540 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (pow -1 1/3)) 3.546 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (* (* -0.3333333333333333 (pow -1 1/3)) (/ 1 (cbrt -1)))) into (- (* 0.3333333333333333 (* (/ 1 (cbrt -1)) (pow -1 1/3)))) 3.560 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 0.3333333333333333 (* (/ 1 (cbrt -1)) (pow -1 1/3))))) 1)) (pow (* (/ 1 (cbrt -1)) (pow -1 1/3)) 1)))) 1) into -0.3333333333333333 3.560 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 3.561 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.562 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))))) into 0 3.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.563 * [backup-simplify]: Simplify (- 0) into 0 3.563 * [backup-simplify]: Simplify (+ 0 0) into 0 3.564 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 3.570 * [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 3.573 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (log -1)))) into (- 0.16666666666666666) 3.584 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow -1 1/3)) 3.594 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (+ (* (* -0.3333333333333333 (pow -1 1/3)) 0) (* (* -0.1111111111111111 (pow -1 1/3)) (/ 1 (cbrt -1))))) into (- (* 0.1111111111111111 (* (/ 1 (cbrt -1)) (pow -1 1/3)))) 3.648 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 0.3333333333333333 (* (/ 1 (cbrt -1)) (pow -1 1/3))))) 2)) (pow (* (/ 1 (cbrt -1)) (pow -1 1/3)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 0.1111111111111111 (* (/ 1 (cbrt -1)) (pow -1 1/3))))) 1)) (pow (* (/ 1 (cbrt -1)) (pow -1 1/3)) 1)))) 2) into -0.16666666666666666 3.648 * [backup-simplify]: Simplify -0.16666666666666666 into -0.16666666666666666 3.650 * [backup-simplify]: Simplify (+ (* -0.16666666666666666 (pow (/ 1 (- N)) 2)) (+ (* -0.3333333333333333 (/ 1 (- N))) (log (* (/ 1 (cbrt -1)) (pow -1 1/3))))) into (- (+ (* 0.3333333333333333 (/ 1 N)) (log (* (/ 1 (cbrt -1)) (pow -1 1/3)))) (* 0.16666666666666666 (/ 1 (pow N 2)))) 3.650 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 3.650 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3) 3.650 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 3.650 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 3.650 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 3.650 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 3.650 * [taylor]: Taking taylor expansion of 1/3 in N 3.651 * [backup-simplify]: Simplify 1/3 into 1/3 3.651 * [taylor]: Taking taylor expansion of (log N) in N 3.651 * [taylor]: Taking taylor expansion of N in N 3.651 * [backup-simplify]: Simplify 0 into 0 3.651 * [backup-simplify]: Simplify 1 into 1 3.651 * [backup-simplify]: Simplify (log 1) into 0 3.651 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.651 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 3.651 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 3.651 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 3.651 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 3.651 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 3.651 * [taylor]: Taking taylor expansion of 1/3 in N 3.651 * [backup-simplify]: Simplify 1/3 into 1/3 3.651 * [taylor]: Taking taylor expansion of (log N) in N 3.651 * [taylor]: Taking taylor expansion of N in N 3.651 * [backup-simplify]: Simplify 0 into 0 3.651 * [backup-simplify]: Simplify 1 into 1 3.656 * [backup-simplify]: Simplify (log 1) into 0 3.657 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.657 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 3.657 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 3.657 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 3.658 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.658 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.659 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 3.659 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 3.659 * [backup-simplify]: Simplify 0 into 0 3.661 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.661 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.662 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 3.663 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.663 * [backup-simplify]: Simplify 0 into 0 3.665 * [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 3.666 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.667 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 3.668 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.668 * [backup-simplify]: Simplify 0 into 0 3.673 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 3.674 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.675 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 3.676 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.676 * [backup-simplify]: Simplify 0 into 0 3.686 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 3.686 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.687 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 3.689 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.689 * [backup-simplify]: Simplify 0 into 0 3.706 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 3.707 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.708 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 3.711 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.711 * [backup-simplify]: Simplify 0 into 0 3.711 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 3.711 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3) 3.711 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 3.711 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 3.711 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 3.711 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 3.711 * [taylor]: Taking taylor expansion of 1/3 in N 3.711 * [backup-simplify]: Simplify 1/3 into 1/3 3.711 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.711 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.712 * [taylor]: Taking taylor expansion of N in N 3.712 * [backup-simplify]: Simplify 0 into 0 3.712 * [backup-simplify]: Simplify 1 into 1 3.712 * [backup-simplify]: Simplify (/ 1 1) into 1 3.712 * [backup-simplify]: Simplify (log 1) into 0 3.712 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.712 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.712 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.713 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 3.713 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 3.713 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 3.713 * [taylor]: Taking taylor expansion of 1/3 in N 3.713 * [backup-simplify]: Simplify 1/3 into 1/3 3.713 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.713 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.713 * [taylor]: Taking taylor expansion of N in N 3.713 * [backup-simplify]: Simplify 0 into 0 3.713 * [backup-simplify]: Simplify 1 into 1 3.713 * [backup-simplify]: Simplify (/ 1 1) into 1 3.713 * [backup-simplify]: Simplify (log 1) into 0 3.713 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.713 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.714 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.714 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 3.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.715 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.716 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.716 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 3.717 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 3.717 * [backup-simplify]: Simplify 0 into 0 3.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.719 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.719 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.720 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 3.720 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.720 * [backup-simplify]: Simplify 0 into 0 3.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.724 * [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 3.724 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.725 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 3.726 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.726 * [backup-simplify]: Simplify 0 into 0 3.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.732 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 3.733 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.734 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 3.735 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.735 * [backup-simplify]: Simplify 0 into 0 3.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.751 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 3.751 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.753 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 3.755 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.756 * [backup-simplify]: Simplify 0 into 0 3.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.789 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 3.790 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.792 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 3.799 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.799 * [backup-simplify]: Simplify 0 into 0 3.800 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3) 3.800 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 3.800 * [approximate]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in (N) around 0 3.800 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N 3.800 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 3.800 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 3.800 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 3.800 * [taylor]: Taking taylor expansion of 1/3 in N 3.800 * [backup-simplify]: Simplify 1/3 into 1/3 3.800 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.800 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.800 * [taylor]: Taking taylor expansion of N in N 3.800 * [backup-simplify]: Simplify 0 into 0 3.800 * [backup-simplify]: Simplify 1 into 1 3.801 * [backup-simplify]: Simplify (/ 1 1) into 1 3.801 * [backup-simplify]: Simplify (log 1) into 0 3.802 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.802 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.802 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.802 * [taylor]: Taking taylor expansion of (cbrt -1) in N 3.802 * [taylor]: Taking taylor expansion of -1 in N 3.802 * [backup-simplify]: Simplify -1 into -1 3.803 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.804 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.804 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N 3.804 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 3.804 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 3.804 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 3.804 * [taylor]: Taking taylor expansion of 1/3 in N 3.804 * [backup-simplify]: Simplify 1/3 into 1/3 3.804 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.804 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.804 * [taylor]: Taking taylor expansion of N in N 3.804 * [backup-simplify]: Simplify 0 into 0 3.804 * [backup-simplify]: Simplify 1 into 1 3.805 * [backup-simplify]: Simplify (/ 1 1) into 1 3.805 * [backup-simplify]: Simplify (log 1) into 0 3.806 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.806 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.806 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.806 * [taylor]: Taking taylor expansion of (cbrt -1) in N 3.806 * [taylor]: Taking taylor expansion of -1 in N 3.806 * [backup-simplify]: Simplify -1 into -1 3.806 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.807 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.807 * [backup-simplify]: Simplify (* (pow N -1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 3.808 * [backup-simplify]: Simplify (* (pow (/ 1 N) 1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 3.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.810 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.810 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.810 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 3.811 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 3.811 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (* 0 (cbrt -1))) into 0 3.812 * [backup-simplify]: Simplify 0 into 0 3.813 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.815 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.815 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.816 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 3.816 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.817 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 3.817 * [backup-simplify]: Simplify 0 into 0 3.818 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 3.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.821 * [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 3.822 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.823 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 3.824 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.824 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 3.824 * [backup-simplify]: Simplify 0 into 0 3.826 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.832 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 3.833 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.834 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 3.835 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.836 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0 3.836 * [backup-simplify]: Simplify 0 into 0 3.837 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 3.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.847 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 3.847 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.848 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 3.850 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.851 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0 3.851 * [backup-simplify]: Simplify 0 into 0 3.852 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.875 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 3.875 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.877 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 3.880 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.881 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0 3.882 * [backup-simplify]: Simplify 0 into 0 3.882 * [backup-simplify]: Simplify (* (pow (/ 1 (/ 1 (- N))) 1/3) (cbrt -1)) into (* (pow (* N -1) 1/3) (cbrt -1)) 3.882 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 2) 3.882 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3) 3.882 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 3.882 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 3.882 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 3.882 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 3.882 * [taylor]: Taking taylor expansion of 1/3 in N 3.882 * [backup-simplify]: Simplify 1/3 into 1/3 3.882 * [taylor]: Taking taylor expansion of (log N) in N 3.882 * [taylor]: Taking taylor expansion of N in N 3.882 * [backup-simplify]: Simplify 0 into 0 3.882 * [backup-simplify]: Simplify 1 into 1 3.883 * [backup-simplify]: Simplify (log 1) into 0 3.883 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.883 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 3.883 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 3.883 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 3.883 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 3.883 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 3.883 * [taylor]: Taking taylor expansion of 1/3 in N 3.883 * [backup-simplify]: Simplify 1/3 into 1/3 3.883 * [taylor]: Taking taylor expansion of (log N) in N 3.883 * [taylor]: Taking taylor expansion of N in N 3.883 * [backup-simplify]: Simplify 0 into 0 3.883 * [backup-simplify]: Simplify 1 into 1 3.883 * [backup-simplify]: Simplify (log 1) into 0 3.884 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.884 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 3.884 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 3.884 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 3.885 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.885 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.885 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 3.886 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 3.886 * [backup-simplify]: Simplify 0 into 0 3.887 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.888 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.888 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 3.889 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.889 * [backup-simplify]: Simplify 0 into 0 3.892 * [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 3.892 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.893 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 3.894 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.894 * [backup-simplify]: Simplify 0 into 0 3.901 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 3.902 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.904 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 3.907 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.907 * [backup-simplify]: Simplify 0 into 0 3.925 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 3.926 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.929 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 3.933 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.933 * [backup-simplify]: Simplify 0 into 0 3.963 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 3.963 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.965 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 3.971 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.971 * [backup-simplify]: Simplify 0 into 0 3.971 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 3.971 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3) 3.971 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 3.971 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 3.971 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 3.971 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 3.971 * [taylor]: Taking taylor expansion of 1/3 in N 3.971 * [backup-simplify]: Simplify 1/3 into 1/3 3.971 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.971 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.971 * [taylor]: Taking taylor expansion of N in N 3.971 * [backup-simplify]: Simplify 0 into 0 3.971 * [backup-simplify]: Simplify 1 into 1 3.972 * [backup-simplify]: Simplify (/ 1 1) into 1 3.972 * [backup-simplify]: Simplify (log 1) into 0 3.973 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.973 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.973 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.973 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 3.973 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 3.973 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 3.973 * [taylor]: Taking taylor expansion of 1/3 in N 3.973 * [backup-simplify]: Simplify 1/3 into 1/3 3.973 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.973 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.973 * [taylor]: Taking taylor expansion of N in N 3.973 * [backup-simplify]: Simplify 0 into 0 3.973 * [backup-simplify]: Simplify 1 into 1 3.973 * [backup-simplify]: Simplify (/ 1 1) into 1 3.974 * [backup-simplify]: Simplify (log 1) into 0 3.974 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.974 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.974 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.975 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 3.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.976 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.977 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.977 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 3.978 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 3.978 * [backup-simplify]: Simplify 0 into 0 3.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.991 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.992 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.993 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 3.995 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.995 * [backup-simplify]: Simplify 0 into 0 3.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.001 * [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 4.001 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.002 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 4.004 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.004 * [backup-simplify]: Simplify 0 into 0 4.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.015 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 4.015 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.017 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 4.019 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.019 * [backup-simplify]: Simplify 0 into 0 4.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.036 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 4.037 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.039 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 4.043 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.043 * [backup-simplify]: Simplify 0 into 0 4.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.072 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 4.073 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.075 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 4.081 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.081 * [backup-simplify]: Simplify 0 into 0 4.081 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3) 4.081 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 4.081 * [approximate]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in (N) around 0 4.081 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N 4.081 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 4.081 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 4.081 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 4.081 * [taylor]: Taking taylor expansion of 1/3 in N 4.081 * [backup-simplify]: Simplify 1/3 into 1/3 4.081 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 4.081 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.082 * [taylor]: Taking taylor expansion of N in N 4.082 * [backup-simplify]: Simplify 0 into 0 4.082 * [backup-simplify]: Simplify 1 into 1 4.082 * [backup-simplify]: Simplify (/ 1 1) into 1 4.082 * [backup-simplify]: Simplify (log 1) into 0 4.083 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.083 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 4.083 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 4.083 * [taylor]: Taking taylor expansion of (cbrt -1) in N 4.083 * [taylor]: Taking taylor expansion of -1 in N 4.083 * [backup-simplify]: Simplify -1 into -1 4.084 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.084 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.084 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N 4.084 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 4.084 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 4.084 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 4.084 * [taylor]: Taking taylor expansion of 1/3 in N 4.084 * [backup-simplify]: Simplify 1/3 into 1/3 4.084 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 4.084 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.084 * [taylor]: Taking taylor expansion of N in N 4.085 * [backup-simplify]: Simplify 0 into 0 4.085 * [backup-simplify]: Simplify 1 into 1 4.085 * [backup-simplify]: Simplify (/ 1 1) into 1 4.085 * [backup-simplify]: Simplify (log 1) into 0 4.086 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.086 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 4.086 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 4.086 * [taylor]: Taking taylor expansion of (cbrt -1) in N 4.086 * [taylor]: Taking taylor expansion of -1 in N 4.086 * [backup-simplify]: Simplify -1 into -1 4.086 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.087 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.088 * [backup-simplify]: Simplify (* (pow N -1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 4.088 * [backup-simplify]: Simplify (* (pow (/ 1 N) 1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 4.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.090 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.091 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.091 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 4.092 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 4.093 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (* 0 (cbrt -1))) into 0 4.093 * [backup-simplify]: Simplify 0 into 0 4.094 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.098 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 4.098 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.099 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 4.101 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.102 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 4.102 * [backup-simplify]: Simplify 0 into 0 4.103 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 4.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.109 * [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 4.110 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.111 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 4.113 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.114 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 4.114 * [backup-simplify]: Simplify 0 into 0 4.116 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.127 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 4.128 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.130 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 4.141 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.143 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0 4.143 * [backup-simplify]: Simplify 0 into 0 4.144 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 4.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.160 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 4.161 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.163 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 4.166 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.167 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0 4.167 * [backup-simplify]: Simplify 0 into 0 4.169 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.199 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 4.200 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.202 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 4.209 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.211 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0 4.211 * [backup-simplify]: Simplify 0 into 0 4.211 * [backup-simplify]: Simplify (* (pow (/ 1 (/ 1 (- N))) 1/3) (cbrt -1)) into (* (pow (* N -1) 1/3) (cbrt -1)) 4.212 * * * [progress]: simplifying candidates 4.216 * [simplify]: Simplifying: (expm1 (log (/ (cbrt (+ 1.0 N)) (cbrt N)))) (log1p (log (/ (cbrt (+ 1.0 N)) (cbrt N)))) (log (* (cbrt (/ (cbrt (+ 1.0 N)) (cbrt N))) (cbrt (/ (cbrt (+ 1.0 N)) (cbrt N))))) (log (cbrt (/ (cbrt (+ 1.0 N)) (cbrt N)))) (log (sqrt (/ (cbrt (+ 1.0 N)) (cbrt N)))) (log (sqrt (/ (cbrt (+ 1.0 N)) (cbrt N)))) (log (/ (cbrt (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (cbrt (* (cbrt N) (cbrt N))))) (log (/ (cbrt (cbrt (+ 1.0 N))) (cbrt (cbrt N)))) (log (/ (cbrt (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (cbrt (sqrt N)))) (log (/ (cbrt (cbrt (+ 1.0 N))) (cbrt (sqrt N)))) (log (/ (cbrt (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (cbrt 1))) (log (/ (cbrt (cbrt (+ 1.0 N))) (cbrt N))) (log (/ (cbrt (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (* (cbrt (cbrt N)) (cbrt (cbrt N))))) (log (/ (cbrt (cbrt (+ 1.0 N))) (cbrt (cbrt N)))) (log (/ (cbrt (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (sqrt (cbrt N)))) (log (/ (cbrt (cbrt (+ 1.0 N))) (sqrt (cbrt N)))) (log (/ (cbrt (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) 1)) (log (/ (cbrt (cbrt (+ 1.0 N))) (cbrt N))) (log (/ (cbrt (sqrt (+ 1.0 N))) (cbrt (* (cbrt N) (cbrt N))))) (log (/ (cbrt (sqrt (+ 1.0 N))) (cbrt (cbrt N)))) (log (/ (cbrt (sqrt (+ 1.0 N))) (cbrt (sqrt N)))) (log (/ (cbrt (sqrt (+ 1.0 N))) (cbrt (sqrt N)))) (log (/ (cbrt (sqrt (+ 1.0 N))) (cbrt 1))) (log (/ (cbrt (sqrt (+ 1.0 N))) (cbrt N))) (log (/ (cbrt (sqrt (+ 1.0 N))) (* (cbrt (cbrt N)) (cbrt (cbrt N))))) (log (/ (cbrt (sqrt (+ 1.0 N))) (cbrt (cbrt N)))) (log (/ (cbrt (sqrt (+ 1.0 N))) (sqrt (cbrt N)))) (log (/ (cbrt (sqrt (+ 1.0 N))) (sqrt (cbrt N)))) (log (/ (cbrt (sqrt (+ 1.0 N))) 1)) (log (/ (cbrt (sqrt (+ 1.0 N))) (cbrt N))) (log (/ (cbrt 1) (cbrt (* (cbrt N) (cbrt N))))) (log (/ (cbrt (+ 1.0 N)) (cbrt 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(+ 1.0 N))) (cbrt (cbrt N)))) (log (/ (cbrt (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (sqrt (cbrt N)))) (log (/ (cbrt (cbrt (+ 1.0 N))) (sqrt (cbrt N)))) (log (/ (cbrt (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) 1)) (log (/ (cbrt (cbrt (+ 1.0 N))) (cbrt N))) (log (/ (cbrt (sqrt (+ 1.0 N))) (cbrt (* (cbrt N) (cbrt N))))) (log (/ (cbrt (sqrt (+ 1.0 N))) (cbrt (cbrt N)))) (log (/ (cbrt (sqrt (+ 1.0 N))) (cbrt (sqrt N)))) (log (/ (cbrt (sqrt (+ 1.0 N))) (cbrt (sqrt N)))) (log (/ (cbrt (sqrt (+ 1.0 N))) (cbrt 1))) (log (/ (cbrt (sqrt (+ 1.0 N))) (cbrt N))) (log (/ (cbrt (sqrt (+ 1.0 N))) (* (cbrt (cbrt N)) (cbrt (cbrt N))))) (log (/ (cbrt (sqrt (+ 1.0 N))) (cbrt (cbrt N)))) (log (/ (cbrt (sqrt (+ 1.0 N))) (sqrt (cbrt N)))) (log (/ (cbrt (sqrt (+ 1.0 N))) (sqrt (cbrt N)))) (log (/ (cbrt (sqrt (+ 1.0 N))) 1)) (log (/ (cbrt (sqrt (+ 1.0 N))) (cbrt N))) (log (/ (cbrt 1) (cbrt (* (cbrt N) (cbrt N))))) (log (/ (cbrt (+ 1.0 N)) (cbrt (cbrt N)))) (log (/ (cbrt 1) (cbrt (sqrt N)))) (log (/ (cbrt (+ 1.0 N)) 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(log (/ (cbrt (cbrt (+ 1.0 N))) (cbrt (sqrt N)))) (log (/ (* (cbrt (cbrt (+ 1.0 N))) (cbrt (cbrt (+ 1.0 N)))) (cbrt 1))) (log (/ (cbrt (cbrt (+ 1.0 N))) (cbrt N))) (log (/ (* (cbrt (cbrt (+ 1.0 N))) (cbrt (cbrt (+ 1.0 N)))) (* (cbrt (cbrt N)) (cbrt (cbrt N))))) (log (/ (cbrt (cbrt (+ 1.0 N))) (cbrt (cbrt N)))) (log (/ (* (cbrt (cbrt (+ 1.0 N))) (cbrt (cbrt (+ 1.0 N)))) (sqrt (cbrt N)))) (log (/ (cbrt (cbrt (+ 1.0 N))) (sqrt (cbrt N)))) (log (/ (* (cbrt (cbrt (+ 1.0 N))) (cbrt (cbrt (+ 1.0 N)))) 1)) (log (/ (cbrt (cbrt (+ 1.0 N))) (cbrt N))) (log (/ (sqrt (cbrt (+ 1.0 N))) (cbrt (* (cbrt N) (cbrt N))))) (log (/ (sqrt (cbrt (+ 1.0 N))) (cbrt (cbrt N)))) (log (/ (sqrt (cbrt (+ 1.0 N))) (cbrt (sqrt N)))) (log (/ (sqrt (cbrt (+ 1.0 N))) (cbrt (sqrt N)))) (log (/ (sqrt (cbrt (+ 1.0 N))) (cbrt 1))) (log (/ (sqrt (cbrt (+ 1.0 N))) (cbrt N))) (log (/ (sqrt (cbrt (+ 1.0 N))) (* (cbrt (cbrt N)) (cbrt (cbrt N))))) (log (/ (sqrt (cbrt (+ 1.0 N))) (cbrt (cbrt N)))) (log (/ (sqrt (cbrt (+ 1.0 N))) (sqrt (cbrt N)))) (log (/ (sqrt (cbrt (+ 1.0 N))) (sqrt (cbrt N)))) (log (/ (sqrt (cbrt (+ 1.0 N))) 1)) (log (/ (sqrt (cbrt (+ 1.0 N))) (cbrt N))) (log (/ 1 (cbrt (* (cbrt N) (cbrt N))))) (log (/ (cbrt (+ 1.0 N)) (cbrt (cbrt N)))) (log (/ 1 (cbrt (sqrt N)))) (log (/ (cbrt (+ 1.0 N)) (cbrt (sqrt N)))) (log (/ 1 (cbrt 1))) (log (/ (cbrt (+ 1.0 N)) (cbrt N))) (log (/ 1 (* (cbrt (cbrt N)) (cbrt (cbrt N))))) (log (/ (cbrt (+ 1.0 N)) (cbrt (cbrt N)))) (log (/ 1 (sqrt (cbrt N)))) (log (/ (cbrt (+ 1.0 N)) (sqrt (cbrt N)))) (log (/ 1 1)) (log (/ (cbrt (+ 1.0 N)) (cbrt N))) (log 1) (log (/ (cbrt (+ 1.0 N)) (cbrt N))) (log (cbrt (+ 1.0 N))) (log (/ 1 (cbrt N))) (log (cbrt (+ 1.0 N))) (log (cbrt N)) (log (/ (cbrt (+ 1.0 N)) (cbrt N))) (log (log (/ (cbrt (+ 1.0 N)) (cbrt N)))) (exp (log (/ (cbrt (+ 1.0 N)) (cbrt N)))) (* (cbrt (log (/ (cbrt (+ 1.0 N)) (cbrt N)))) (cbrt (log (/ (cbrt (+ 1.0 N)) (cbrt N))))) (cbrt (log (/ (cbrt (+ 1.0 N)) (cbrt N)))) (* (* (log (/ (cbrt (+ 1.0 N)) (cbrt N))) (log (/ (cbrt (+ 1.0 N)) (cbrt N)))) (log (/ (cbrt (+ 1.0 N)) (cbrt N)))) (sqrt (log (/ (cbrt (+ 1.0 N)) (cbrt N)))) (sqrt (log (/ (cbrt (+ 1.0 N)) (cbrt N)))) (expm1 (cbrt N)) (log1p (cbrt N)) (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) (* (* (cbrt N) (cbrt N)) (cbrt N)) (sqrt (cbrt N)) (sqrt (cbrt N)) (expm1 (cbrt N)) (log1p (cbrt N)) (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) (* (* (cbrt N) (cbrt N)) (cbrt N)) (sqrt (cbrt N)) (sqrt (cbrt N)) (- (+ (* 1/3 (log 1.0)) (* 0.3333333333333333 N)) (+ (* 1/6 (/ (pow N 2) (pow 1.0 2))) (* 1/3 (log N)))) (- (+ (* 0.1111111111111111 (/ 1 (pow N 3))) (* 0.3333333333333333 (/ 1 N))) (* 0.16666666666666666 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 N)) (log (* (/ 1 (cbrt -1)) (pow -1 1/3)))) (* 0.16666666666666666 (/ 1 (pow N 2)))) (- (+ (* 1/3 (log 1.0)) (* 0.3333333333333333 N)) (+ (* 1/6 (/ (pow N 2) (pow 1.0 2))) (* 1/3 (log N)))) (- (+ (* 0.1111111111111111 (/ 1 (pow N 3))) (* 0.3333333333333333 (/ 1 N))) (* 0.16666666666666666 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 N)) (log (* (/ 1 (cbrt -1)) (pow -1 1/3)))) (* 0.16666666666666666 (/ 1 (pow N 2)))) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* N -1) 1/3) (cbrt -1)) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* N -1) 1/3) (cbrt -1)) 4.221 * * [simplify]: iteration 0: 183 enodes 4.271 * * [simplify]: iteration 1: 353 enodes 4.411 * * [simplify]: iteration 2: 1024 enodes 5.193 * * [simplify]: iteration 3: 4376 enodes 5.888 * * [simplify]: iteration complete: 5000 enodes 5.889 * * [simplify]: Extracting #0: cost 67 inf + 0 5.892 * * [simplify]: Extracting #1: cost 732 inf + 3 5.900 * * [simplify]: Extracting #2: cost 1163 inf + 479 5.908 * * [simplify]: Extracting #3: cost 775 inf + 3289 5.914 * * [simplify]: Extracting #4: cost 288 inf + 6830 5.919 * * [simplify]: Extracting #5: cost 21 inf + 9608 5.925 * * [simplify]: Extracting #6: cost 0 inf + 9848 5.931 * [simplify]: Simplified to: (expm1 (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (log1p (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (* (log (cbrt (/ (cbrt (+ N 1.0)) (cbrt N)))) 2) (log (cbrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (/ (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (pow N 2/3)))) (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt N)))) (log (/ (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (sqrt N)))) (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt N)))) (log (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt N))) (- (log (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (* 2 (log (cbrt (cbrt N))))) (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt N)))) (log (/ (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (sqrt (cbrt N)))) (log (/ (cbrt (cbrt (+ N 1.0))) (sqrt (cbrt N)))) (log (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt N))) (log (/ (cbrt (sqrt (+ N 1.0))) (cbrt (pow N 2/3)))) (log (/ (cbrt (sqrt (+ N 1.0))) (cbrt (cbrt N)))) (log (/ (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt N)))) (log (/ (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt N)))) (log (cbrt (sqrt (+ N 1.0)))) (log (/ (cbrt (sqrt (+ N 1.0))) (cbrt N))) (- (log (cbrt (sqrt (+ N 1.0)))) (* 2 (log (cbrt (cbrt N))))) (log (/ (cbrt (sqrt (+ N 1.0))) (cbrt (cbrt N)))) (log (/ (cbrt (sqrt (+ N 1.0))) (sqrt (cbrt N)))) (log (/ (cbrt (sqrt (+ N 1.0))) (sqrt (cbrt N)))) (log (cbrt (sqrt (+ N 1.0)))) (log (/ (cbrt (sqrt (+ N 1.0))) (cbrt N))) (- (log (cbrt (pow N 2/3)))) (log (/ (cbrt (+ N 1.0)) (cbrt (cbrt N)))) (- (log (cbrt (sqrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt (sqrt N)))) 0 (log (/ (cbrt (+ N 1.0)) (cbrt N))) (- (* 2 (log (cbrt (cbrt N))))) (log (/ (cbrt (+ N 1.0)) (cbrt (cbrt N)))) (- (log (sqrt (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (sqrt (cbrt N)))) 0 (log (/ (cbrt (+ N 1.0)) (cbrt N))) (- (log (cbrt (pow N 2/3)))) (log (/ (cbrt (+ N 1.0)) (cbrt (cbrt N)))) (- (log (cbrt (sqrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt (sqrt N)))) 0 (log (/ (cbrt (+ N 1.0)) (cbrt N))) (- (* 2 (log (cbrt (cbrt N))))) (log (/ (cbrt (+ N 1.0)) (cbrt (cbrt N)))) (- (log (sqrt (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (sqrt (cbrt N)))) 0 (log (/ (cbrt (+ N 1.0)) (cbrt N))) (fma 2 (log (cbrt (cbrt (+ N 1.0)))) (- (log (cbrt (pow N 2/3))))) (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt N)))) (fma 2 (log (cbrt (cbrt (+ N 1.0)))) (- (log (cbrt (sqrt N))))) (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt N)))) (* 2 (log (cbrt (cbrt (+ N 1.0))))) (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt N))) (* 2 (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt N))))) (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt N)))) (fma 2 (log (cbrt (cbrt (+ N 1.0)))) (- (log (sqrt (cbrt N))))) (log (/ (cbrt (cbrt (+ N 1.0))) (sqrt (cbrt N)))) (* 2 (log (cbrt (cbrt (+ N 1.0))))) (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt N))) (log (/ (sqrt (cbrt (+ N 1.0))) (cbrt (pow N 2/3)))) (log (/ (sqrt (cbrt (+ N 1.0))) (cbrt (cbrt N)))) (log (/ (sqrt (cbrt (+ N 1.0))) (cbrt (sqrt N)))) (log (/ (sqrt (cbrt (+ N 1.0))) (cbrt (sqrt N)))) (log (sqrt (cbrt (+ N 1.0)))) (log (/ (sqrt (cbrt (+ N 1.0))) (cbrt N))) (- (log (sqrt (cbrt (+ N 1.0)))) (* 2 (log (cbrt (cbrt N))))) (log (/ (sqrt (cbrt (+ N 1.0))) (cbrt (cbrt N)))) (log (/ (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt N)))) (log (/ (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt N)))) (log (sqrt (cbrt (+ N 1.0)))) (log (/ (sqrt (cbrt (+ N 1.0))) (cbrt N))) (- (log (cbrt (pow N 2/3)))) (log (/ (cbrt (+ N 1.0)) (cbrt (cbrt N)))) (- (log (cbrt (sqrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt (sqrt N)))) 0 (log (/ (cbrt (+ N 1.0)) (cbrt N))) (- (* 2 (log (cbrt (cbrt N))))) (log (/ (cbrt (+ N 1.0)) (cbrt (cbrt N)))) (- (log (sqrt (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (sqrt (cbrt N)))) 0 (log (/ (cbrt (+ N 1.0)) (cbrt N))) 0 (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (cbrt (+ N 1.0))) (- (log (cbrt N))) (log (cbrt (+ N 1.0))) (log (cbrt N)) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (/ (cbrt (+ N 1.0)) (cbrt N)) (* (cbrt (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (cbrt (log (/ (cbrt (+ N 1.0)) (cbrt N))))) (cbrt (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (pow (log (/ (cbrt (+ N 1.0)) (cbrt N))) 3) (sqrt (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (sqrt (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (expm1 (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (log1p (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (* (log (cbrt (/ (cbrt (+ N 1.0)) (cbrt N)))) 2) (log (cbrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (/ (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (pow N 2/3)))) (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt N)))) (log (/ (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (sqrt N)))) (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt N)))) (log (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt N))) (- (log (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (* 2 (log (cbrt (cbrt N))))) (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt N)))) (log (/ (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (sqrt (cbrt N)))) (log (/ (cbrt (cbrt (+ N 1.0))) (sqrt (cbrt N)))) (log (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt N))) (log (/ (cbrt (sqrt (+ N 1.0))) (cbrt (pow N 2/3)))) (log (/ (cbrt (sqrt (+ N 1.0))) (cbrt (cbrt N)))) (log (/ (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt N)))) (log (/ (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt N)))) (log (cbrt (sqrt (+ N 1.0)))) (log (/ (cbrt (sqrt (+ N 1.0))) (cbrt N))) (- (log (cbrt (sqrt (+ N 1.0)))) (* 2 (log (cbrt (cbrt N))))) (log (/ (cbrt (sqrt (+ N 1.0))) (cbrt (cbrt N)))) (log (/ (cbrt (sqrt (+ N 1.0))) (sqrt (cbrt N)))) (log (/ (cbrt (sqrt (+ N 1.0))) (sqrt (cbrt N)))) (log (cbrt (sqrt (+ N 1.0)))) (log (/ (cbrt (sqrt (+ N 1.0))) (cbrt N))) (- (log (cbrt (pow N 2/3)))) (log (/ (cbrt (+ N 1.0)) (cbrt (cbrt N)))) (- (log (cbrt (sqrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt (sqrt N)))) 0 (log (/ (cbrt (+ N 1.0)) (cbrt N))) (- (* 2 (log (cbrt (cbrt N))))) (log (/ (cbrt (+ N 1.0)) (cbrt (cbrt N)))) (- (log (sqrt (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (sqrt (cbrt N)))) 0 (log (/ (cbrt (+ N 1.0)) (cbrt N))) (- (log (cbrt (pow N 2/3)))) (log (/ (cbrt (+ N 1.0)) (cbrt (cbrt N)))) (- (log (cbrt (sqrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt (sqrt N)))) 0 (log (/ (cbrt (+ N 1.0)) (cbrt N))) (- (* 2 (log (cbrt (cbrt N))))) (log (/ (cbrt (+ N 1.0)) (cbrt (cbrt N)))) (- (log (sqrt (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (sqrt (cbrt N)))) 0 (log (/ (cbrt (+ N 1.0)) (cbrt N))) (fma 2 (log (cbrt (cbrt (+ N 1.0)))) (- (log (cbrt (pow N 2/3))))) (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt N)))) (fma 2 (log (cbrt (cbrt (+ N 1.0)))) (- (log (cbrt (sqrt N))))) (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt N)))) (* 2 (log (cbrt (cbrt (+ N 1.0))))) (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt N))) (* 2 (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt N))))) (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt N)))) (fma 2 (log (cbrt (cbrt (+ N 1.0)))) (- (log (sqrt (cbrt N))))) (log (/ (cbrt (cbrt (+ N 1.0))) (sqrt (cbrt N)))) (* 2 (log (cbrt (cbrt (+ N 1.0))))) (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt N))) (log (/ (sqrt (cbrt (+ N 1.0))) (cbrt (pow N 2/3)))) (log (/ (sqrt (cbrt (+ N 1.0))) (cbrt (cbrt N)))) (log (/ (sqrt (cbrt (+ N 1.0))) (cbrt (sqrt N)))) (log (/ (sqrt (cbrt (+ N 1.0))) (cbrt (sqrt N)))) (log (sqrt (cbrt (+ N 1.0)))) (log (/ (sqrt (cbrt (+ N 1.0))) (cbrt N))) (- (log (sqrt (cbrt (+ N 1.0)))) (* 2 (log (cbrt (cbrt N))))) (log (/ (sqrt (cbrt (+ N 1.0))) (cbrt (cbrt N)))) (log (/ (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt N)))) (log (/ (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt N)))) (log (sqrt (cbrt (+ N 1.0)))) (log (/ (sqrt (cbrt (+ N 1.0))) (cbrt N))) (- (log (cbrt (pow N 2/3)))) (log (/ (cbrt (+ N 1.0)) (cbrt (cbrt N)))) (- (log (cbrt (sqrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt (sqrt N)))) 0 (log (/ (cbrt (+ N 1.0)) (cbrt N))) (- (* 2 (log (cbrt (cbrt N))))) (log (/ (cbrt (+ N 1.0)) (cbrt (cbrt N)))) (- (log (sqrt (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (sqrt (cbrt N)))) 0 (log (/ (cbrt (+ N 1.0)) (cbrt N))) 0 (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (cbrt (+ N 1.0))) (- (log (cbrt N))) (log (cbrt (+ N 1.0))) (log (cbrt N)) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (/ (cbrt (+ N 1.0)) (cbrt N)) (* (cbrt (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (cbrt (log (/ (cbrt (+ N 1.0)) (cbrt N))))) (cbrt (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (pow (log (/ (cbrt (+ N 1.0)) (cbrt N))) 3) (sqrt (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (sqrt (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (expm1 (cbrt N)) (log1p (cbrt N)) (log (cbrt N)) (exp (cbrt N)) (cbrt (pow N 2/3)) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) 1 (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) N (sqrt (cbrt N)) (sqrt (cbrt N)) (expm1 (cbrt N)) (log1p (cbrt N)) (log (cbrt N)) (exp (cbrt N)) (cbrt (pow N 2/3)) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) 1 (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) N (sqrt (cbrt N)) (sqrt (cbrt N)) (fma (* (/ N 1.0) (/ N 1.0)) -1/6 (fma (log N) -1/3 (fma (log 1.0) 1/3 (* 0.3333333333333333 N)))) (fma (/ 1 (* N N)) (- (/ 0.1111111111111111 N) 0.16666666666666666) (/ 0.3333333333333333 N)) (- (+ 0 (/ 0.3333333333333333 N)) (/ (/ 0.16666666666666666 N) N)) (fma (* (/ N 1.0) (/ N 1.0)) -1/6 (fma (log N) -1/3 (fma (log 1.0) 1/3 (* 0.3333333333333333 N)))) (fma (/ 1 (* N N)) (- (/ 0.1111111111111111 N) 0.16666666666666666) (/ 0.3333333333333333 N)) (- (+ 0 (/ 0.3333333333333333 N)) (/ (/ 0.16666666666666666 N) N)) (cbrt N) (pow (/ 1 N) -1/3) (* (cbrt -1) (cbrt (- N))) (cbrt N) (pow (/ 1 N) -1/3) (* (cbrt -1) (cbrt (- N))) 5.933 * * * [progress]: adding candidates to table 6.931 * * [progress]: iteration 4 / 4 6.932 * * * [progress]: picking best candidate 6.975 * * * * [pick]: Picked # 6.975 * * * [progress]: localizing error 7.085 * * * [progress]: generating rewritten candidates 7.085 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 7.103 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 7.130 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 7.147 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 1 2) 7.167 * * * [progress]: generating series expansions 7.167 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 7.167 * [backup-simplify]: Simplify (log (cbrt (/ (cbrt (+ N 1.0)) (cbrt N)))) into (log (pow (/ (+ N 1.0) N) 1/9)) 7.167 * [approximate]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/9)) in (N) around 0 7.167 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/9)) in N 7.167 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/9) in N 7.167 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ (+ N 1.0) N)))) in N 7.167 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ (+ N 1.0) N))) in N 7.167 * [taylor]: Taking taylor expansion of 1/9 in N 7.167 * [backup-simplify]: Simplify 1/9 into 1/9 7.167 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 7.167 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 7.167 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.167 * [taylor]: Taking taylor expansion of N in N 7.167 * [backup-simplify]: Simplify 0 into 0 7.167 * [backup-simplify]: Simplify 1 into 1 7.167 * [taylor]: Taking taylor expansion of 1.0 in N 7.167 * [backup-simplify]: Simplify 1.0 into 1.0 7.167 * [taylor]: Taking taylor expansion of N in N 7.168 * [backup-simplify]: Simplify 0 into 0 7.168 * [backup-simplify]: Simplify 1 into 1 7.168 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.169 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 7.169 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.170 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 7.171 * [backup-simplify]: Simplify (* 1/9 (- (log 1.0) (log N))) into (* 1/9 (- (log 1.0) (log N))) 7.171 * [backup-simplify]: Simplify (exp (* 1/9 (- (log 1.0) (log N)))) into (exp (* 1/9 (- (log 1.0) (log N)))) 7.172 * [backup-simplify]: Simplify (log (exp (* 1/9 (- (log 1.0) (log N))))) into (* 1/9 (- (log 1.0) (log N))) 7.172 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/9)) in N 7.172 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/9) in N 7.172 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ (+ N 1.0) N)))) in N 7.172 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ (+ N 1.0) N))) in N 7.172 * [taylor]: Taking taylor expansion of 1/9 in N 7.172 * [backup-simplify]: Simplify 1/9 into 1/9 7.172 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 7.172 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 7.172 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.172 * [taylor]: Taking taylor expansion of N in N 7.172 * [backup-simplify]: Simplify 0 into 0 7.172 * [backup-simplify]: Simplify 1 into 1 7.172 * [taylor]: Taking taylor expansion of 1.0 in N 7.172 * [backup-simplify]: Simplify 1.0 into 1.0 7.172 * [taylor]: Taking taylor expansion of N in N 7.172 * [backup-simplify]: Simplify 0 into 0 7.172 * [backup-simplify]: Simplify 1 into 1 7.173 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.173 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 7.174 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.175 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 7.175 * [backup-simplify]: Simplify (* 1/9 (- (log 1.0) (log N))) into (* 1/9 (- (log 1.0) (log N))) 7.176 * [backup-simplify]: Simplify (exp (* 1/9 (- (log 1.0) (log N)))) into (exp (* 1/9 (- (log 1.0) (log N)))) 7.176 * [backup-simplify]: Simplify (log (exp (* 1/9 (- (log 1.0) (log N))))) into (* 1/9 (- (log 1.0) (log N))) 7.177 * [backup-simplify]: Simplify (* 1/9 (- (log 1.0) (log N))) into (* 1/9 (- (log 1.0) (log N))) 7.177 * [backup-simplify]: Simplify (+ 1 0) into 1 7.178 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 7.183 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 7.184 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 7.184 * [backup-simplify]: Simplify (+ (* 1/9 1.0) (* 0 (- (log 1.0) (log N)))) into 0.1111111111111111 7.186 * [backup-simplify]: Simplify (* (exp (* 1/9 (- (log 1.0) (log N)))) (+ (* (/ (pow 0.1111111111111111 1) 1)))) into (* 0.1111111111111111 (exp (* 1/9 (- (log 1.0) (log N))))) 7.187 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 0.1111111111111111 (exp (* 1/9 (- (log 1.0) (log N)))))) 1)) (pow (exp (* 1/9 (- (log 1.0) (log N)))) 1)))) 1) into 0.1111111111111111 7.187 * [backup-simplify]: Simplify 0.1111111111111111 into 0.1111111111111111 7.187 * [backup-simplify]: Simplify (+ 0 0) into 0 7.188 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 7.193 * [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)) 7.194 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 7.196 * [backup-simplify]: Simplify (+ (* 1/9 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (- (log 1.0) (log N))))) into (- (* 1/18 (/ 1 (pow 1.0 2)))) 7.202 * [backup-simplify]: Simplify (* (exp (* 1/9 (- (log 1.0) (log N)))) (+ (* (/ (pow 0.1111111111111111 2) 2)) (* (/ (pow (- (* 1/18 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (- 0.006172839506172839 (* 1/18 (/ 1 (pow 1.0 2)))) (exp (* 1/9 (- (log 1.0) (log N))))) 7.205 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 0.1111111111111111 (exp (* 1/9 (- (log 1.0) (log N)))))) 2)) (pow (exp (* 1/9 (- (log 1.0) (log N)))) 2))) (* 1 (/ (* 1 (pow (* 2 (* (- 0.006172839506172839 (* 1/18 (/ 1 (pow 1.0 2)))) (exp (* 1/9 (- (log 1.0) (log N)))))) 1)) (pow (exp (* 1/9 (- (log 1.0) (log N)))) 1)))) 2) into (/ -1/18 (pow 1.0 2)) 7.206 * [backup-simplify]: Simplify (/ -1/18 (pow 1.0 2)) into (/ -1/18 (pow 1.0 2)) 7.207 * [backup-simplify]: Simplify (+ (* (/ -1/18 (pow 1.0 2)) (pow N 2)) (+ (* 0.1111111111111111 N) (* 1/9 (- (log 1.0) (log N))))) into (- (+ (* 1/9 (log 1.0)) (* 0.1111111111111111 N)) (+ (* 1/18 (/ (pow N 2) (pow 1.0 2))) (* 1/9 (log N)))) 7.208 * [backup-simplify]: Simplify (log (cbrt (/ (cbrt (+ (/ 1 N) 1.0)) (cbrt (/ 1 N))))) into (log (pow (* N (+ (/ 1 N) 1.0)) 1/9)) 7.208 * [approximate]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/9)) in (N) around 0 7.208 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/9)) in N 7.208 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/9) in N 7.208 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (* N (+ (/ 1 N) 1.0))))) in N 7.208 * [taylor]: Taking taylor expansion of (* 1/9 (log (* N (+ (/ 1 N) 1.0)))) in N 7.208 * [taylor]: Taking taylor expansion of 1/9 in N 7.208 * [backup-simplify]: Simplify 1/9 into 1/9 7.208 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 7.208 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 7.208 * [taylor]: Taking taylor expansion of N in N 7.208 * [backup-simplify]: Simplify 0 into 0 7.208 * [backup-simplify]: Simplify 1 into 1 7.208 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.208 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.208 * [taylor]: Taking taylor expansion of N in N 7.208 * [backup-simplify]: Simplify 0 into 0 7.208 * [backup-simplify]: Simplify 1 into 1 7.208 * [backup-simplify]: Simplify (/ 1 1) into 1 7.208 * [taylor]: Taking taylor expansion of 1.0 in N 7.208 * [backup-simplify]: Simplify 1.0 into 1.0 7.208 * [backup-simplify]: Simplify (+ 1 0) into 1 7.209 * [backup-simplify]: Simplify (* 0 1) into 0 7.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.209 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.210 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 7.210 * [backup-simplify]: Simplify (log 1) into 0 7.210 * [backup-simplify]: Simplify (* 1/9 0) into 0 7.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.211 * [backup-simplify]: Simplify (+ 0 0) into 0 7.213 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 7.219 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 7.221 * [backup-simplify]: Simplify (+ (* 1/9 1.0) (* 0 0)) into 0.1111111111111111 7.221 * [backup-simplify]: Simplify (exp 0) into 1 7.221 * [backup-simplify]: Simplify (log 1) into 0 7.221 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/9)) in N 7.221 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/9) in N 7.221 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (* N (+ (/ 1 N) 1.0))))) in N 7.222 * [taylor]: Taking taylor expansion of (* 1/9 (log (* N (+ (/ 1 N) 1.0)))) in N 7.222 * [taylor]: Taking taylor expansion of 1/9 in N 7.222 * [backup-simplify]: Simplify 1/9 into 1/9 7.222 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 7.222 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 7.222 * [taylor]: Taking taylor expansion of N in N 7.222 * [backup-simplify]: Simplify 0 into 0 7.222 * [backup-simplify]: Simplify 1 into 1 7.222 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.222 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.222 * [taylor]: Taking taylor expansion of N in N 7.222 * [backup-simplify]: Simplify 0 into 0 7.222 * [backup-simplify]: Simplify 1 into 1 7.222 * [backup-simplify]: Simplify (/ 1 1) into 1 7.222 * [taylor]: Taking taylor expansion of 1.0 in N 7.222 * [backup-simplify]: Simplify 1.0 into 1.0 7.223 * [backup-simplify]: Simplify (+ 1 0) into 1 7.223 * [backup-simplify]: Simplify (* 0 1) into 0 7.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.225 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.225 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 7.226 * [backup-simplify]: Simplify (log 1) into 0 7.226 * [backup-simplify]: Simplify (* 1/9 0) into 0 7.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.227 * [backup-simplify]: Simplify (+ 0 0) into 0 7.230 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 7.235 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 7.237 * [backup-simplify]: Simplify (+ (* 1/9 1.0) (* 0 0)) into 0.1111111111111111 7.237 * [backup-simplify]: Simplify (exp 0) into 1 7.237 * [backup-simplify]: Simplify (log 1) into 0 7.237 * [backup-simplify]: Simplify 0 into 0 7.247 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.1111111111111111 1) 1)))) into 0.1111111111111111 7.253 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0.1111111111111111) 1)) (pow 1 1)))) 1) into 0.1111111111111111 7.253 * [backup-simplify]: Simplify 0.1111111111111111 into 0.1111111111111111 7.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.254 * [backup-simplify]: Simplify (+ 0 0) into 0 7.255 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 7.268 * [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 7.270 * [backup-simplify]: Simplify (+ (* 1/9 -0.5) (+ (* 0 1.0) (* 0 0))) into (- 0.05555555555555555) 7.278 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.1111111111111111 2) 2)) (* (/ (pow (- 0.05555555555555555) 1) 1)))) into -0.04938271604938271 7.293 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0.1111111111111111) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.04938271604938271) 1)) (pow 1 1)))) 2) into -0.05555555555555555 7.293 * [backup-simplify]: Simplify -0.05555555555555555 into -0.05555555555555555 7.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.294 * [backup-simplify]: Simplify (+ 0 0) into 0 7.296 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 7.314 * [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 7.317 * [backup-simplify]: Simplify (+ (* 1/9 0.3333333333333333) (+ (* 0 -0.5) (+ (* 0 1.0) (* 0 0)))) into 0.037037037037037035 7.330 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.1111111111111111 3) 6)) (* (/ (pow 0.1111111111111111 1) 1) (/ (pow (- 0.05555555555555555) 1) 1)) (* (/ (pow 0.037037037037037035 1) 1)))) into 0.031092821216278006 7.356 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0.1111111111111111) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0.1111111111111111) 1) (pow (* 2 -0.04938271604938271) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0.031092821216278006) 1)) (pow 1 1)))) 6) into 0.037037037037037035 7.357 * [backup-simplify]: Simplify 0.037037037037037035 into 0.037037037037037035 7.357 * [backup-simplify]: Simplify (+ (* 0.037037037037037035 (pow (/ 1 N) 3)) (+ (* -0.05555555555555555 (pow (/ 1 N) 2)) (* 0.1111111111111111 (/ 1 N)))) into (- (+ (* 0.037037037037037035 (/ 1 (pow N 3))) (* 0.1111111111111111 (/ 1 N))) (* 0.05555555555555555 (/ 1 (pow N 2)))) 7.358 * [backup-simplify]: Simplify (log (cbrt (/ (cbrt (+ (/ 1 (- N)) 1.0)) (cbrt (/ 1 (- N)))))) into (log (* (pow (* N (- 1.0 (/ 1 N))) 1/9) (pow (/ 1 (cbrt -1)) 1/3))) 7.358 * [approximate]: Taking taylor expansion of (log (* (pow (* N (- 1.0 (/ 1 N))) 1/9) (pow (/ 1 (cbrt -1)) 1/3))) in (N) around 0 7.358 * [taylor]: Taking taylor expansion of (log (* (pow (* N (- 1.0 (/ 1 N))) 1/9) (pow (/ 1 (cbrt -1)) 1/3))) in N 7.358 * [taylor]: Taking taylor expansion of (* (pow (* N (- 1.0 (/ 1 N))) 1/9) (pow (/ 1 (cbrt -1)) 1/3)) in N 7.358 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/9) in N 7.358 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (* N (- 1.0 (/ 1 N)))))) in N 7.358 * [taylor]: Taking taylor expansion of (* 1/9 (log (* N (- 1.0 (/ 1 N))))) in N 7.358 * [taylor]: Taking taylor expansion of 1/9 in N 7.358 * [backup-simplify]: Simplify 1/9 into 1/9 7.358 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 7.358 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 7.358 * [taylor]: Taking taylor expansion of N in N 7.358 * [backup-simplify]: Simplify 0 into 0 7.358 * [backup-simplify]: Simplify 1 into 1 7.358 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.358 * [taylor]: Taking taylor expansion of 1.0 in N 7.358 * [backup-simplify]: Simplify 1.0 into 1.0 7.358 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.358 * [taylor]: Taking taylor expansion of N in N 7.358 * [backup-simplify]: Simplify 0 into 0 7.358 * [backup-simplify]: Simplify 1 into 1 7.359 * [backup-simplify]: Simplify (/ 1 1) into 1 7.359 * [backup-simplify]: Simplify (- 1) into -1 7.360 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.360 * [backup-simplify]: Simplify (* 0 -1) into 0 7.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.361 * [backup-simplify]: Simplify (- 0) into 0 7.361 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.362 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 7.363 * [backup-simplify]: Simplify (log -1) into (log -1) 7.364 * [backup-simplify]: Simplify (* 1/9 (log -1)) into (* 1/9 (log -1)) 7.365 * [backup-simplify]: Simplify (exp (* 1/9 (log -1))) into (pow -1 1/9) 7.365 * [taylor]: Taking taylor expansion of (pow (/ 1 (cbrt -1)) 1/3) in N 7.365 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (cbrt -1))))) in N 7.365 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (cbrt -1)))) in N 7.365 * [taylor]: Taking taylor expansion of 1/3 in N 7.365 * [backup-simplify]: Simplify 1/3 into 1/3 7.365 * [taylor]: Taking taylor expansion of (log (/ 1 (cbrt -1))) in N 7.365 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in N 7.365 * [taylor]: Taking taylor expansion of (cbrt -1) in N 7.366 * [taylor]: Taking taylor expansion of -1 in N 7.366 * [backup-simplify]: Simplify -1 into -1 7.366 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.367 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.368 * [backup-simplify]: Simplify (/ 1 (cbrt -1)) into (/ 1 (cbrt -1)) 7.370 * [backup-simplify]: Simplify (log (/ 1 (cbrt -1))) into (log (/ 1 (cbrt -1))) 7.372 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (cbrt -1)))) into (* 1/3 (log (/ 1 (cbrt -1)))) 7.376 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (cbrt -1))))) into (pow (/ 1 (cbrt -1)) 1/3) 7.380 * [backup-simplify]: Simplify (* (pow -1 1/9) (pow (/ 1 (cbrt -1)) 1/3)) into (* (pow (/ 1 (cbrt -1)) 1/3) (pow -1 1/9)) 7.384 * [backup-simplify]: Simplify (log (* (pow (/ 1 (cbrt -1)) 1/3) (pow -1 1/9))) into (log (* (pow (/ 1 (cbrt -1)) 1/3) (pow -1 1/9))) 7.384 * [taylor]: Taking taylor expansion of (log (* (pow (* N (- 1.0 (/ 1 N))) 1/9) (pow (/ 1 (cbrt -1)) 1/3))) in N 7.385 * [taylor]: Taking taylor expansion of (* (pow (* N (- 1.0 (/ 1 N))) 1/9) (pow (/ 1 (cbrt -1)) 1/3)) in N 7.385 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/9) in N 7.385 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (* N (- 1.0 (/ 1 N)))))) in N 7.385 * [taylor]: Taking taylor expansion of (* 1/9 (log (* N (- 1.0 (/ 1 N))))) in N 7.385 * [taylor]: Taking taylor expansion of 1/9 in N 7.385 * [backup-simplify]: Simplify 1/9 into 1/9 7.385 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 7.385 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 7.385 * [taylor]: Taking taylor expansion of N in N 7.385 * [backup-simplify]: Simplify 0 into 0 7.385 * [backup-simplify]: Simplify 1 into 1 7.385 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.385 * [taylor]: Taking taylor expansion of 1.0 in N 7.385 * [backup-simplify]: Simplify 1.0 into 1.0 7.385 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.385 * [taylor]: Taking taylor expansion of N in N 7.385 * [backup-simplify]: Simplify 0 into 0 7.385 * [backup-simplify]: Simplify 1 into 1 7.385 * [backup-simplify]: Simplify (/ 1 1) into 1 7.386 * [backup-simplify]: Simplify (- 1) into -1 7.386 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.387 * [backup-simplify]: Simplify (* 0 -1) into 0 7.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.388 * [backup-simplify]: Simplify (- 0) into 0 7.388 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.389 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 7.389 * [backup-simplify]: Simplify (log -1) into (log -1) 7.396 * [backup-simplify]: Simplify (* 1/9 (log -1)) into (* 1/9 (log -1)) 7.398 * [backup-simplify]: Simplify (exp (* 1/9 (log -1))) into (pow -1 1/9) 7.398 * [taylor]: Taking taylor expansion of (pow (/ 1 (cbrt -1)) 1/3) in N 7.398 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (cbrt -1))))) in N 7.398 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (cbrt -1)))) in N 7.398 * [taylor]: Taking taylor expansion of 1/3 in N 7.398 * [backup-simplify]: Simplify 1/3 into 1/3 7.398 * [taylor]: Taking taylor expansion of (log (/ 1 (cbrt -1))) in N 7.398 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in N 7.398 * [taylor]: Taking taylor expansion of (cbrt -1) in N 7.398 * [taylor]: Taking taylor expansion of -1 in N 7.398 * [backup-simplify]: Simplify -1 into -1 7.398 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.399 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.400 * [backup-simplify]: Simplify (/ 1 (cbrt -1)) into (/ 1 (cbrt -1)) 7.401 * [backup-simplify]: Simplify (log (/ 1 (cbrt -1))) into (log (/ 1 (cbrt -1))) 7.402 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (cbrt -1)))) into (* 1/3 (log (/ 1 (cbrt -1)))) 7.404 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (cbrt -1))))) into (pow (/ 1 (cbrt -1)) 1/3) 7.406 * [backup-simplify]: Simplify (* (pow -1 1/9) (pow (/ 1 (cbrt -1)) 1/3)) into (* (pow (/ 1 (cbrt -1)) 1/3) (pow -1 1/9)) 7.409 * [backup-simplify]: Simplify (log (* (pow (/ 1 (cbrt -1)) 1/3) (pow -1 1/9))) into (log (* (pow (/ 1 (cbrt -1)) 1/3) (pow -1 1/9))) 7.412 * [backup-simplify]: Simplify (log (* (pow (/ 1 (cbrt -1)) 1/3) (pow -1 1/9))) into (log (* (pow (/ 1 (cbrt -1)) 1/3) (pow -1 1/9))) 7.413 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))))) into 0 7.414 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (cbrt -1)) 1)))) 1) into 0 7.415 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (cbrt -1))))) into 0 7.416 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (cbrt -1))))) (+ (* (/ (pow 0 1) 1)))) into 0 7.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.417 * [backup-simplify]: Simplify (- 0) into 0 7.417 * [backup-simplify]: Simplify (+ 0 0) into 0 7.419 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 7.424 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 7.426 * [backup-simplify]: Simplify (+ (* 1/9 -1.0) (* 0 (log -1))) into (- 0.1111111111111111) 7.433 * [backup-simplify]: Simplify (* (exp (* 1/9 (log -1))) (+ (* (/ (pow (- 0.1111111111111111) 1) 1)))) into (* -0.1111111111111111 (pow -1 1/9)) 7.441 * [backup-simplify]: Simplify (+ (* (pow -1 1/9) 0) (* (* -0.1111111111111111 (pow -1 1/9)) (pow (/ 1 (cbrt -1)) 1/3))) into (- (* 0.1111111111111111 (* (pow (/ 1 (cbrt -1)) 1/3) (pow -1 1/9)))) 7.469 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 0.1111111111111111 (* (pow (/ 1 (cbrt -1)) 1/3) (pow -1 1/9))))) 1)) (pow (* (pow (/ 1 (cbrt -1)) 1/3) (pow -1 1/9)) 1)))) 1) into -0.1111111111111111 7.469 * [backup-simplify]: Simplify -0.1111111111111111 into -0.1111111111111111 7.470 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.471 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))))) into 0 7.475 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (cbrt -1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (cbrt -1)) 1)))) 2) into 0 7.476 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (cbrt -1)))))) into 0 7.479 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (cbrt -1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.480 * [backup-simplify]: Simplify (- 0) into 0 7.481 * [backup-simplify]: Simplify (+ 0 0) into 0 7.482 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 7.491 * [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 7.493 * [backup-simplify]: Simplify (+ (* 1/9 -0.5) (+ (* 0 -1.0) (* 0 (log -1)))) into (- 0.05555555555555555) 7.504 * [backup-simplify]: Simplify (* (exp (* 1/9 (log -1))) (+ (* (/ (pow (- 0.1111111111111111) 2) 2)) (* (/ (pow (- 0.05555555555555555) 1) 1)))) into (* -0.04938271604938271 (pow -1 1/9)) 7.515 * [backup-simplify]: Simplify (+ (* (pow -1 1/9) 0) (+ (* (* -0.1111111111111111 (pow -1 1/9)) 0) (* (* -0.04938271604938271 (pow -1 1/9)) (pow (/ 1 (cbrt -1)) 1/3)))) into (- (* 0.04938271604938271 (* (pow (/ 1 (cbrt -1)) 1/3) (pow -1 1/9)))) 7.562 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 0.1111111111111111 (* (pow (/ 1 (cbrt -1)) 1/3) (pow -1 1/9))))) 2)) (pow (* (pow (/ 1 (cbrt -1)) 1/3) (pow -1 1/9)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 0.04938271604938271 (* (pow (/ 1 (cbrt -1)) 1/3) (pow -1 1/9))))) 1)) (pow (* (pow (/ 1 (cbrt -1)) 1/3) (pow -1 1/9)) 1)))) 2) into -0.05555555555555555 7.562 * [backup-simplify]: Simplify -0.05555555555555555 into -0.05555555555555555 7.567 * [backup-simplify]: Simplify (+ (* -0.05555555555555555 (pow (/ 1 (- N)) 2)) (+ (* -0.1111111111111111 (/ 1 (- N))) (log (* (pow (/ 1 (cbrt -1)) 1/3) (pow -1 1/9))))) into (- (+ (* 0.1111111111111111 (/ 1 N)) (log (* (pow (/ 1 (cbrt -1)) 1/3) (pow -1 1/9)))) (* 0.05555555555555555 (/ 1 (pow N 2)))) 7.567 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 7.568 * [backup-simplify]: Simplify (log (cbrt (/ (cbrt (+ N 1.0)) (cbrt N)))) into (log (pow (/ (+ N 1.0) N) 1/9)) 7.568 * [approximate]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/9)) in (N) around 0 7.568 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/9)) in N 7.568 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/9) in N 7.568 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ (+ N 1.0) N)))) in N 7.568 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ (+ N 1.0) N))) in N 7.568 * [taylor]: Taking taylor expansion of 1/9 in N 7.568 * [backup-simplify]: Simplify 1/9 into 1/9 7.568 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 7.568 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 7.568 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.568 * [taylor]: Taking taylor expansion of N in N 7.568 * [backup-simplify]: Simplify 0 into 0 7.568 * [backup-simplify]: Simplify 1 into 1 7.568 * [taylor]: Taking taylor expansion of 1.0 in N 7.568 * [backup-simplify]: Simplify 1.0 into 1.0 7.568 * [taylor]: Taking taylor expansion of N in N 7.568 * [backup-simplify]: Simplify 0 into 0 7.568 * [backup-simplify]: Simplify 1 into 1 7.569 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.569 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 7.569 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.570 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 7.571 * [backup-simplify]: Simplify (* 1/9 (- (log 1.0) (log N))) into (* 1/9 (- (log 1.0) (log N))) 7.571 * [backup-simplify]: Simplify (exp (* 1/9 (- (log 1.0) (log N)))) into (exp (* 1/9 (- (log 1.0) (log N)))) 7.572 * [backup-simplify]: Simplify (log (exp (* 1/9 (- (log 1.0) (log N))))) into (* 1/9 (- (log 1.0) (log N))) 7.572 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/9)) in N 7.572 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/9) in N 7.572 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ (+ N 1.0) N)))) in N 7.572 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ (+ N 1.0) N))) in N 7.572 * [taylor]: Taking taylor expansion of 1/9 in N 7.572 * [backup-simplify]: Simplify 1/9 into 1/9 7.572 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 7.572 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 7.572 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.572 * [taylor]: Taking taylor expansion of N in N 7.572 * [backup-simplify]: Simplify 0 into 0 7.572 * [backup-simplify]: Simplify 1 into 1 7.572 * [taylor]: Taking taylor expansion of 1.0 in N 7.572 * [backup-simplify]: Simplify 1.0 into 1.0 7.572 * [taylor]: Taking taylor expansion of N in N 7.572 * [backup-simplify]: Simplify 0 into 0 7.572 * [backup-simplify]: Simplify 1 into 1 7.573 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.573 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 7.574 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.574 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 7.575 * [backup-simplify]: Simplify (* 1/9 (- (log 1.0) (log N))) into (* 1/9 (- (log 1.0) (log N))) 7.575 * [backup-simplify]: Simplify (exp (* 1/9 (- (log 1.0) (log N)))) into (exp (* 1/9 (- (log 1.0) (log N)))) 7.576 * [backup-simplify]: Simplify (log (exp (* 1/9 (- (log 1.0) (log N))))) into (* 1/9 (- (log 1.0) (log N))) 7.576 * [backup-simplify]: Simplify (* 1/9 (- (log 1.0) (log N))) into (* 1/9 (- (log 1.0) (log N))) 7.577 * [backup-simplify]: Simplify (+ 1 0) into 1 7.578 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 7.583 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 7.584 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 7.585 * [backup-simplify]: Simplify (+ (* 1/9 1.0) (* 0 (- (log 1.0) (log N)))) into 0.1111111111111111 7.588 * [backup-simplify]: Simplify (* (exp (* 1/9 (- (log 1.0) (log N)))) (+ (* (/ (pow 0.1111111111111111 1) 1)))) into (* 0.1111111111111111 (exp (* 1/9 (- (log 1.0) (log N))))) 7.589 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 0.1111111111111111 (exp (* 1/9 (- (log 1.0) (log N)))))) 1)) (pow (exp (* 1/9 (- (log 1.0) (log N)))) 1)))) 1) into 0.1111111111111111 7.589 * [backup-simplify]: Simplify 0.1111111111111111 into 0.1111111111111111 7.590 * [backup-simplify]: Simplify (+ 0 0) into 0 7.590 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 7.596 * [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)) 7.597 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 7.598 * [backup-simplify]: Simplify (+ (* 1/9 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (- (log 1.0) (log N))))) into (- (* 1/18 (/ 1 (pow 1.0 2)))) 7.605 * [backup-simplify]: Simplify (* (exp (* 1/9 (- (log 1.0) (log N)))) (+ (* (/ (pow 0.1111111111111111 2) 2)) (* (/ (pow (- (* 1/18 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (- 0.006172839506172839 (* 1/18 (/ 1 (pow 1.0 2)))) (exp (* 1/9 (- (log 1.0) (log N))))) 7.609 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 0.1111111111111111 (exp (* 1/9 (- (log 1.0) (log N)))))) 2)) (pow (exp (* 1/9 (- (log 1.0) (log N)))) 2))) (* 1 (/ (* 1 (pow (* 2 (* (- 0.006172839506172839 (* 1/18 (/ 1 (pow 1.0 2)))) (exp (* 1/9 (- (log 1.0) (log N)))))) 1)) (pow (exp (* 1/9 (- (log 1.0) (log N)))) 1)))) 2) into (/ -1/18 (pow 1.0 2)) 7.610 * [backup-simplify]: Simplify (/ -1/18 (pow 1.0 2)) into (/ -1/18 (pow 1.0 2)) 7.611 * [backup-simplify]: Simplify (+ (* (/ -1/18 (pow 1.0 2)) (pow N 2)) (+ (* 0.1111111111111111 N) (* 1/9 (- (log 1.0) (log N))))) into (- (+ (* 1/9 (log 1.0)) (* 0.1111111111111111 N)) (+ (* 1/18 (/ (pow N 2) (pow 1.0 2))) (* 1/9 (log N)))) 7.611 * [backup-simplify]: Simplify (log (cbrt (/ (cbrt (+ (/ 1 N) 1.0)) (cbrt (/ 1 N))))) into (log (pow (* N (+ (/ 1 N) 1.0)) 1/9)) 7.611 * [approximate]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/9)) in (N) around 0 7.611 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/9)) in N 7.611 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/9) in N 7.611 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (* N (+ (/ 1 N) 1.0))))) in N 7.611 * [taylor]: Taking taylor expansion of (* 1/9 (log (* N (+ (/ 1 N) 1.0)))) in N 7.611 * [taylor]: Taking taylor expansion of 1/9 in N 7.611 * [backup-simplify]: Simplify 1/9 into 1/9 7.612 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 7.612 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 7.612 * [taylor]: Taking taylor expansion of N in N 7.612 * [backup-simplify]: Simplify 0 into 0 7.612 * [backup-simplify]: Simplify 1 into 1 7.612 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.612 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.612 * [taylor]: Taking taylor expansion of N in N 7.612 * [backup-simplify]: Simplify 0 into 0 7.612 * [backup-simplify]: Simplify 1 into 1 7.612 * [backup-simplify]: Simplify (/ 1 1) into 1 7.612 * [taylor]: Taking taylor expansion of 1.0 in N 7.612 * [backup-simplify]: Simplify 1.0 into 1.0 7.612 * [backup-simplify]: Simplify (+ 1 0) into 1 7.613 * [backup-simplify]: Simplify (* 0 1) into 0 7.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.613 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.614 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 7.614 * [backup-simplify]: Simplify (log 1) into 0 7.614 * [backup-simplify]: Simplify (* 1/9 0) into 0 7.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.615 * [backup-simplify]: Simplify (+ 0 0) into 0 7.617 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 7.622 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 7.623 * [backup-simplify]: Simplify (+ (* 1/9 1.0) (* 0 0)) into 0.1111111111111111 7.623 * [backup-simplify]: Simplify (exp 0) into 1 7.624 * [backup-simplify]: Simplify (log 1) into 0 7.624 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/9)) in N 7.624 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/9) in N 7.624 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (* N (+ (/ 1 N) 1.0))))) in N 7.624 * [taylor]: Taking taylor expansion of (* 1/9 (log (* N (+ (/ 1 N) 1.0)))) in N 7.624 * [taylor]: Taking taylor expansion of 1/9 in N 7.624 * [backup-simplify]: Simplify 1/9 into 1/9 7.624 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 7.624 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 7.624 * [taylor]: Taking taylor expansion of N in N 7.624 * [backup-simplify]: Simplify 0 into 0 7.624 * [backup-simplify]: Simplify 1 into 1 7.624 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.624 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.624 * [taylor]: Taking taylor expansion of N in N 7.624 * [backup-simplify]: Simplify 0 into 0 7.624 * [backup-simplify]: Simplify 1 into 1 7.625 * [backup-simplify]: Simplify (/ 1 1) into 1 7.625 * [taylor]: Taking taylor expansion of 1.0 in N 7.625 * [backup-simplify]: Simplify 1.0 into 1.0 7.625 * [backup-simplify]: Simplify (+ 1 0) into 1 7.625 * [backup-simplify]: Simplify (* 0 1) into 0 7.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.627 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.627 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 7.628 * [backup-simplify]: Simplify (log 1) into 0 7.628 * [backup-simplify]: Simplify (* 1/9 0) into 0 7.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.629 * [backup-simplify]: Simplify (+ 0 0) into 0 7.632 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 7.642 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 7.643 * [backup-simplify]: Simplify (+ (* 1/9 1.0) (* 0 0)) into 0.1111111111111111 7.643 * [backup-simplify]: Simplify (exp 0) into 1 7.644 * [backup-simplify]: Simplify (log 1) into 0 7.644 * [backup-simplify]: Simplify 0 into 0 7.646 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.1111111111111111 1) 1)))) into 0.1111111111111111 7.650 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0.1111111111111111) 1)) (pow 1 1)))) 1) into 0.1111111111111111 7.650 * [backup-simplify]: Simplify 0.1111111111111111 into 0.1111111111111111 7.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.650 * [backup-simplify]: Simplify (+ 0 0) into 0 7.651 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 7.658 * [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 7.660 * [backup-simplify]: Simplify (+ (* 1/9 -0.5) (+ (* 0 1.0) (* 0 0))) into (- 0.05555555555555555) 7.665 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.1111111111111111 2) 2)) (* (/ (pow (- 0.05555555555555555) 1) 1)))) into -0.04938271604938271 7.675 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0.1111111111111111) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.04938271604938271) 1)) (pow 1 1)))) 2) into -0.05555555555555555 7.675 * [backup-simplify]: Simplify -0.05555555555555555 into -0.05555555555555555 7.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.677 * [backup-simplify]: Simplify (+ 0 0) into 0 7.678 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 7.696 * [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 7.699 * [backup-simplify]: Simplify (+ (* 1/9 0.3333333333333333) (+ (* 0 -0.5) (+ (* 0 1.0) (* 0 0)))) into 0.037037037037037035 7.712 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.1111111111111111 3) 6)) (* (/ (pow 0.1111111111111111 1) 1) (/ (pow (- 0.05555555555555555) 1) 1)) (* (/ (pow 0.037037037037037035 1) 1)))) into 0.031092821216278006 7.739 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0.1111111111111111) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0.1111111111111111) 1) (pow (* 2 -0.04938271604938271) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0.031092821216278006) 1)) (pow 1 1)))) 6) into 0.037037037037037035 7.740 * [backup-simplify]: Simplify 0.037037037037037035 into 0.037037037037037035 7.740 * [backup-simplify]: Simplify (+ (* 0.037037037037037035 (pow (/ 1 N) 3)) (+ (* -0.05555555555555555 (pow (/ 1 N) 2)) (* 0.1111111111111111 (/ 1 N)))) into (- (+ (* 0.037037037037037035 (/ 1 (pow N 3))) (* 0.1111111111111111 (/ 1 N))) (* 0.05555555555555555 (/ 1 (pow N 2)))) 7.741 * [backup-simplify]: Simplify (log (cbrt (/ (cbrt (+ (/ 1 (- N)) 1.0)) (cbrt (/ 1 (- N)))))) into (log (* (pow (* N (- 1.0 (/ 1 N))) 1/9) (pow (/ 1 (cbrt -1)) 1/3))) 7.741 * [approximate]: Taking taylor expansion of (log (* (pow (* N (- 1.0 (/ 1 N))) 1/9) (pow (/ 1 (cbrt -1)) 1/3))) in (N) around 0 7.741 * [taylor]: Taking taylor expansion of (log (* (pow (* N (- 1.0 (/ 1 N))) 1/9) (pow (/ 1 (cbrt -1)) 1/3))) in N 7.741 * [taylor]: Taking taylor expansion of (* (pow (* N (- 1.0 (/ 1 N))) 1/9) (pow (/ 1 (cbrt -1)) 1/3)) in N 7.741 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/9) in N 7.741 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (* N (- 1.0 (/ 1 N)))))) in N 7.741 * [taylor]: Taking taylor expansion of (* 1/9 (log (* N (- 1.0 (/ 1 N))))) in N 7.741 * [taylor]: Taking taylor expansion of 1/9 in N 7.741 * [backup-simplify]: Simplify 1/9 into 1/9 7.741 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 7.741 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 7.741 * [taylor]: Taking taylor expansion of N in N 7.741 * [backup-simplify]: Simplify 0 into 0 7.741 * [backup-simplify]: Simplify 1 into 1 7.741 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.741 * [taylor]: Taking taylor expansion of 1.0 in N 7.741 * [backup-simplify]: Simplify 1.0 into 1.0 7.741 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.741 * [taylor]: Taking taylor expansion of N in N 7.741 * [backup-simplify]: Simplify 0 into 0 7.741 * [backup-simplify]: Simplify 1 into 1 7.742 * [backup-simplify]: Simplify (/ 1 1) into 1 7.742 * [backup-simplify]: Simplify (- 1) into -1 7.743 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.743 * [backup-simplify]: Simplify (* 0 -1) into 0 7.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.744 * [backup-simplify]: Simplify (- 0) into 0 7.745 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.746 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 7.746 * [backup-simplify]: Simplify (log -1) into (log -1) 7.747 * [backup-simplify]: Simplify (* 1/9 (log -1)) into (* 1/9 (log -1)) 7.749 * [backup-simplify]: Simplify (exp (* 1/9 (log -1))) into (pow -1 1/9) 7.749 * [taylor]: Taking taylor expansion of (pow (/ 1 (cbrt -1)) 1/3) in N 7.749 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (cbrt -1))))) in N 7.749 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (cbrt -1)))) in N 7.749 * [taylor]: Taking taylor expansion of 1/3 in N 7.749 * [backup-simplify]: Simplify 1/3 into 1/3 7.749 * [taylor]: Taking taylor expansion of (log (/ 1 (cbrt -1))) in N 7.749 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in N 7.749 * [taylor]: Taking taylor expansion of (cbrt -1) in N 7.749 * [taylor]: Taking taylor expansion of -1 in N 7.749 * [backup-simplify]: Simplify -1 into -1 7.750 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.750 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.751 * [backup-simplify]: Simplify (/ 1 (cbrt -1)) into (/ 1 (cbrt -1)) 7.753 * [backup-simplify]: Simplify (log (/ 1 (cbrt -1))) into (log (/ 1 (cbrt -1))) 7.756 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (cbrt -1)))) into (* 1/3 (log (/ 1 (cbrt -1)))) 7.762 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (cbrt -1))))) into (pow (/ 1 (cbrt -1)) 1/3) 7.766 * [backup-simplify]: Simplify (* (pow -1 1/9) (pow (/ 1 (cbrt -1)) 1/3)) into (* (pow (/ 1 (cbrt -1)) 1/3) (pow -1 1/9)) 7.778 * [backup-simplify]: Simplify (log (* (pow (/ 1 (cbrt -1)) 1/3) (pow -1 1/9))) into (log (* (pow (/ 1 (cbrt -1)) 1/3) (pow -1 1/9))) 7.778 * [taylor]: Taking taylor expansion of (log (* (pow (* N (- 1.0 (/ 1 N))) 1/9) (pow (/ 1 (cbrt -1)) 1/3))) in N 7.778 * [taylor]: Taking taylor expansion of (* (pow (* N (- 1.0 (/ 1 N))) 1/9) (pow (/ 1 (cbrt -1)) 1/3)) in N 7.778 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/9) in N 7.778 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (* N (- 1.0 (/ 1 N)))))) in N 7.779 * [taylor]: Taking taylor expansion of (* 1/9 (log (* N (- 1.0 (/ 1 N))))) in N 7.779 * [taylor]: Taking taylor expansion of 1/9 in N 7.779 * [backup-simplify]: Simplify 1/9 into 1/9 7.779 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 7.779 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 7.779 * [taylor]: Taking taylor expansion of N in N 7.779 * [backup-simplify]: Simplify 0 into 0 7.779 * [backup-simplify]: Simplify 1 into 1 7.779 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.779 * [taylor]: Taking taylor expansion of 1.0 in N 7.779 * [backup-simplify]: Simplify 1.0 into 1.0 7.779 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.779 * [taylor]: Taking taylor expansion of N in N 7.779 * [backup-simplify]: Simplify 0 into 0 7.779 * [backup-simplify]: Simplify 1 into 1 7.779 * [backup-simplify]: Simplify (/ 1 1) into 1 7.780 * [backup-simplify]: Simplify (- 1) into -1 7.780 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.781 * [backup-simplify]: Simplify (* 0 -1) into 0 7.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.782 * [backup-simplify]: Simplify (- 0) into 0 7.782 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.783 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 7.784 * [backup-simplify]: Simplify (log -1) into (log -1) 7.784 * [backup-simplify]: Simplify (* 1/9 (log -1)) into (* 1/9 (log -1)) 7.786 * [backup-simplify]: Simplify (exp (* 1/9 (log -1))) into (pow -1 1/9) 7.786 * [taylor]: Taking taylor expansion of (pow (/ 1 (cbrt -1)) 1/3) in N 7.786 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (cbrt -1))))) in N 7.786 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (cbrt -1)))) in N 7.786 * [taylor]: Taking taylor expansion of 1/3 in N 7.786 * [backup-simplify]: Simplify 1/3 into 1/3 7.786 * [taylor]: Taking taylor expansion of (log (/ 1 (cbrt -1))) in N 7.786 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in N 7.786 * [taylor]: Taking taylor expansion of (cbrt -1) in N 7.786 * [taylor]: Taking taylor expansion of -1 in N 7.787 * [backup-simplify]: Simplify -1 into -1 7.787 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.788 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.789 * [backup-simplify]: Simplify (/ 1 (cbrt -1)) into (/ 1 (cbrt -1)) 7.790 * [backup-simplify]: Simplify (log (/ 1 (cbrt -1))) into (log (/ 1 (cbrt -1))) 7.793 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (cbrt -1)))) into (* 1/3 (log (/ 1 (cbrt -1)))) 7.796 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (cbrt -1))))) into (pow (/ 1 (cbrt -1)) 1/3) 7.800 * [backup-simplify]: Simplify (* (pow -1 1/9) (pow (/ 1 (cbrt -1)) 1/3)) into (* (pow (/ 1 (cbrt -1)) 1/3) (pow -1 1/9)) 7.805 * [backup-simplify]: Simplify (log (* (pow (/ 1 (cbrt -1)) 1/3) (pow -1 1/9))) into (log (* (pow (/ 1 (cbrt -1)) 1/3) (pow -1 1/9))) 7.810 * [backup-simplify]: Simplify (log (* (pow (/ 1 (cbrt -1)) 1/3) (pow -1 1/9))) into (log (* (pow (/ 1 (cbrt -1)) 1/3) (pow -1 1/9))) 7.811 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))))) into 0 7.813 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (cbrt -1)) 1)))) 1) into 0 7.814 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (cbrt -1))))) into 0 7.816 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (cbrt -1))))) (+ (* (/ (pow 0 1) 1)))) into 0 7.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.818 * [backup-simplify]: Simplify (- 0) into 0 7.819 * [backup-simplify]: Simplify (+ 0 0) into 0 7.822 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 7.829 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 7.831 * [backup-simplify]: Simplify (+ (* 1/9 -1.0) (* 0 (log -1))) into (- 0.1111111111111111) 7.837 * [backup-simplify]: Simplify (* (exp (* 1/9 (log -1))) (+ (* (/ (pow (- 0.1111111111111111) 1) 1)))) into (* -0.1111111111111111 (pow -1 1/9)) 7.844 * [backup-simplify]: Simplify (+ (* (pow -1 1/9) 0) (* (* -0.1111111111111111 (pow -1 1/9)) (pow (/ 1 (cbrt -1)) 1/3))) into (- (* 0.1111111111111111 (* (pow (/ 1 (cbrt -1)) 1/3) (pow -1 1/9)))) 7.875 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 0.1111111111111111 (* (pow (/ 1 (cbrt -1)) 1/3) (pow -1 1/9))))) 1)) (pow (* (pow (/ 1 (cbrt -1)) 1/3) (pow -1 1/9)) 1)))) 1) into -0.1111111111111111 7.875 * [backup-simplify]: Simplify -0.1111111111111111 into -0.1111111111111111 7.876 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.878 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))))) into 0 7.880 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (cbrt -1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (cbrt -1)) 1)))) 2) into 0 7.881 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (cbrt -1)))))) into 0 7.882 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (cbrt -1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.883 * [backup-simplify]: Simplify (- 0) into 0 7.884 * [backup-simplify]: Simplify (+ 0 0) into 0 7.884 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 7.891 * [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 7.892 * [backup-simplify]: Simplify (+ (* 1/9 -0.5) (+ (* 0 -1.0) (* 0 (log -1)))) into (- 0.05555555555555555) 7.898 * [backup-simplify]: Simplify (* (exp (* 1/9 (log -1))) (+ (* (/ (pow (- 0.1111111111111111) 2) 2)) (* (/ (pow (- 0.05555555555555555) 1) 1)))) into (* -0.04938271604938271 (pow -1 1/9)) 7.911 * [backup-simplify]: Simplify (+ (* (pow -1 1/9) 0) (+ (* (* -0.1111111111111111 (pow -1 1/9)) 0) (* (* -0.04938271604938271 (pow -1 1/9)) (pow (/ 1 (cbrt -1)) 1/3)))) into (- (* 0.04938271604938271 (* (pow (/ 1 (cbrt -1)) 1/3) (pow -1 1/9)))) 7.973 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 0.1111111111111111 (* (pow (/ 1 (cbrt -1)) 1/3) (pow -1 1/9))))) 2)) (pow (* (pow (/ 1 (cbrt -1)) 1/3) (pow -1 1/9)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 0.04938271604938271 (* (pow (/ 1 (cbrt -1)) 1/3) (pow -1 1/9))))) 1)) (pow (* (pow (/ 1 (cbrt -1)) 1/3) (pow -1 1/9)) 1)))) 2) into -0.05555555555555555 7.973 * [backup-simplify]: Simplify -0.05555555555555555 into -0.05555555555555555 7.978 * [backup-simplify]: Simplify (+ (* -0.05555555555555555 (pow (/ 1 (- N)) 2)) (+ (* -0.1111111111111111 (/ 1 (- N))) (log (* (pow (/ 1 (cbrt -1)) 1/3) (pow -1 1/9))))) into (- (+ (* 0.1111111111111111 (/ 1 N)) (log (* (pow (/ 1 (cbrt -1)) 1/3) (pow -1 1/9)))) (* 0.05555555555555555 (/ 1 (pow N 2)))) 7.978 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 7.978 * [backup-simplify]: Simplify (log (/ (cbrt (+ 1.0 N)) (cbrt N))) into (log (pow (/ (+ N 1.0) N) 1/3)) 7.978 * [approximate]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in (N) around 0 7.978 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in N 7.978 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 7.978 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 7.978 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 7.978 * [taylor]: Taking taylor expansion of 1/3 in N 7.979 * [backup-simplify]: Simplify 1/3 into 1/3 7.979 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 7.979 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 7.979 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.979 * [taylor]: Taking taylor expansion of N in N 7.979 * [backup-simplify]: Simplify 0 into 0 7.979 * [backup-simplify]: Simplify 1 into 1 7.979 * [taylor]: Taking taylor expansion of 1.0 in N 7.979 * [backup-simplify]: Simplify 1.0 into 1.0 7.979 * [taylor]: Taking taylor expansion of N in N 7.979 * [backup-simplify]: Simplify 0 into 0 7.979 * [backup-simplify]: Simplify 1 into 1 7.979 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.980 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 7.980 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.981 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 7.981 * [backup-simplify]: Simplify (* 1/3 (- (log 1.0) (log N))) into (* 1/3 (- (log 1.0) (log N))) 7.982 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1.0) (log N)))) into (exp (* 1/3 (- (log 1.0) (log N)))) 7.983 * [backup-simplify]: Simplify (log (exp (* 1/3 (- (log 1.0) (log N))))) into (* 1/3 (- (log 1.0) (log N))) 7.983 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in N 7.983 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 7.983 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 7.983 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 7.983 * [taylor]: Taking taylor expansion of 1/3 in N 7.983 * [backup-simplify]: Simplify 1/3 into 1/3 7.983 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 7.983 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 7.983 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.983 * [taylor]: Taking taylor expansion of N in N 7.983 * [backup-simplify]: Simplify 0 into 0 7.983 * [backup-simplify]: Simplify 1 into 1 7.983 * [taylor]: Taking taylor expansion of 1.0 in N 7.983 * [backup-simplify]: Simplify 1.0 into 1.0 7.983 * [taylor]: Taking taylor expansion of N in N 7.983 * [backup-simplify]: Simplify 0 into 0 7.983 * [backup-simplify]: Simplify 1 into 1 7.984 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.984 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 7.984 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.985 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 7.986 * [backup-simplify]: Simplify (* 1/3 (- (log 1.0) (log N))) into (* 1/3 (- (log 1.0) (log N))) 7.986 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1.0) (log N)))) into (exp (* 1/3 (- (log 1.0) (log N)))) 7.987 * [backup-simplify]: Simplify (log (exp (* 1/3 (- (log 1.0) (log N))))) into (* 1/3 (- (log 1.0) (log N))) 7.987 * [backup-simplify]: Simplify (* 1/3 (- (log 1.0) (log N))) into (* 1/3 (- (log 1.0) (log N))) 7.988 * [backup-simplify]: Simplify (+ 1 0) into 1 7.989 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 7.995 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 7.996 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 7.996 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (log 1.0) (log N)))) into 0.3333333333333333 7.999 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (exp (* 1/3 (- (log 1.0) (log N))))) 8.001 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 0.3333333333333333 (exp (* 1/3 (- (log 1.0) (log N)))))) 1)) (pow (exp (* 1/3 (- (log 1.0) (log N)))) 1)))) 1) into 0.3333333333333333 8.001 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.001 * [backup-simplify]: Simplify (+ 0 0) into 0 8.002 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 8.014 * [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)) 8.015 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 8.018 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (- (log 1.0) (log N))))) into (- (* 1/6 (/ 1 (pow 1.0 2)))) 8.029 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (- (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 8.035 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 0.3333333333333333 (exp (* 1/3 (- (log 1.0) (log N)))))) 2)) (pow (exp (* 1/3 (- (log 1.0) (log N)))) 2))) (* 1 (/ (* 1 (pow (* 2 (* (exp (* 1/3 (- (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2)))))) 1)) (pow (exp (* 1/3 (- (log 1.0) (log N)))) 1)))) 2) into (/ -1/6 (pow 1.0 2)) 8.036 * [backup-simplify]: Simplify (/ -1/6 (pow 1.0 2)) into (/ -1/6 (pow 1.0 2)) 8.038 * [backup-simplify]: Simplify (+ (* (/ -1/6 (pow 1.0 2)) (pow N 2)) (+ (* 0.3333333333333333 N) (* 1/3 (- (log 1.0) (log N))))) into (- (+ (* 1/3 (log 1.0)) (* 0.3333333333333333 N)) (+ (* 1/6 (/ (pow N 2) (pow 1.0 2))) (* 1/3 (log N)))) 8.039 * [backup-simplify]: Simplify (log (/ (cbrt (+ 1.0 (/ 1 N))) (cbrt (/ 1 N)))) into (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) 8.039 * [approximate]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in (N) around 0 8.039 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in N 8.039 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 8.039 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 8.039 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 8.039 * [taylor]: Taking taylor expansion of 1/3 in N 8.039 * [backup-simplify]: Simplify 1/3 into 1/3 8.039 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 8.039 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 8.039 * [taylor]: Taking taylor expansion of N in N 8.039 * [backup-simplify]: Simplify 0 into 0 8.039 * [backup-simplify]: Simplify 1 into 1 8.039 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 8.039 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.039 * [taylor]: Taking taylor expansion of N in N 8.039 * [backup-simplify]: Simplify 0 into 0 8.039 * [backup-simplify]: Simplify 1 into 1 8.040 * [backup-simplify]: Simplify (/ 1 1) into 1 8.040 * [taylor]: Taking taylor expansion of 1.0 in N 8.040 * [backup-simplify]: Simplify 1.0 into 1.0 8.040 * [backup-simplify]: Simplify (+ 1 0) into 1 8.041 * [backup-simplify]: Simplify (* 0 1) into 0 8.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.042 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.043 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 8.043 * [backup-simplify]: Simplify (log 1) into 0 8.043 * [backup-simplify]: Simplify (* 1/3 0) into 0 8.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.045 * [backup-simplify]: Simplify (+ 0 0) into 0 8.048 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 8.054 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 8.055 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 0)) into 0.3333333333333333 8.055 * [backup-simplify]: Simplify (exp 0) into 1 8.056 * [backup-simplify]: Simplify (log 1) into 0 8.056 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in N 8.056 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 8.056 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 8.056 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 8.056 * [taylor]: Taking taylor expansion of 1/3 in N 8.056 * [backup-simplify]: Simplify 1/3 into 1/3 8.056 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 8.056 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 8.056 * [taylor]: Taking taylor expansion of N in N 8.056 * [backup-simplify]: Simplify 0 into 0 8.056 * [backup-simplify]: Simplify 1 into 1 8.056 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 8.056 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.056 * [taylor]: Taking taylor expansion of N in N 8.056 * [backup-simplify]: Simplify 0 into 0 8.056 * [backup-simplify]: Simplify 1 into 1 8.056 * [backup-simplify]: Simplify (/ 1 1) into 1 8.056 * [taylor]: Taking taylor expansion of 1.0 in N 8.056 * [backup-simplify]: Simplify 1.0 into 1.0 8.057 * [backup-simplify]: Simplify (+ 1 0) into 1 8.057 * [backup-simplify]: Simplify (* 0 1) into 0 8.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.069 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.069 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 8.070 * [backup-simplify]: Simplify (log 1) into 0 8.070 * [backup-simplify]: Simplify (* 1/3 0) into 0 8.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.072 * [backup-simplify]: Simplify (+ 0 0) into 0 8.075 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 8.081 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 8.083 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 0)) into 0.3333333333333333 8.083 * [backup-simplify]: Simplify (exp 0) into 1 8.083 * [backup-simplify]: Simplify (log 1) into 0 8.083 * [backup-simplify]: Simplify 0 into 0 8.086 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into 0.3333333333333333 8.092 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0.3333333333333333) 1)) (pow 1 1)))) 1) into 0.3333333333333333 8.093 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.094 * [backup-simplify]: Simplify (+ 0 0) into 0 8.095 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 8.107 * [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 8.109 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 0))) into (- 0.16666666666666666) 8.117 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into -0.1111111111111111 8.132 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0.3333333333333333) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.1111111111111111) 1)) (pow 1 1)))) 2) into -0.16666666666666666 8.132 * [backup-simplify]: Simplify -0.16666666666666666 into -0.16666666666666666 8.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.133 * [backup-simplify]: Simplify (+ 0 0) into 0 8.134 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 8.153 * [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 8.156 * [backup-simplify]: Simplify (+ (* 1/3 0.3333333333333333) (+ (* 0 -0.5) (+ (* 0 1.0) (* 0 0)))) into 0.1111111111111111 8.171 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.3333333333333333 3) 6)) (* (/ (pow 0.3333333333333333 1) 1) (/ (pow (- 0.16666666666666666) 1) 1)) (* (/ (pow 0.1111111111111111 1) 1)))) into 0.06172839506172839 8.197 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0.3333333333333333) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0.3333333333333333) 1) (pow (* 2 -0.1111111111111111) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0.06172839506172839) 1)) (pow 1 1)))) 6) into 0.1111111111111111 8.197 * [backup-simplify]: Simplify 0.1111111111111111 into 0.1111111111111111 8.197 * [backup-simplify]: Simplify (+ (* 0.1111111111111111 (pow (/ 1 N) 3)) (+ (* -0.16666666666666666 (pow (/ 1 N) 2)) (* 0.3333333333333333 (/ 1 N)))) into (- (+ (* 0.1111111111111111 (/ 1 (pow N 3))) (* 0.3333333333333333 (/ 1 N))) (* 0.16666666666666666 (/ 1 (pow N 2)))) 8.198 * [backup-simplify]: Simplify (log (/ (cbrt (+ 1.0 (/ 1 (- N)))) (cbrt (/ 1 (- N))))) into (log (* (pow (* N (- 1.0 (/ 1 N))) 1/3) (/ 1 (cbrt -1)))) 8.198 * [approximate]: Taking taylor expansion of (log (* (pow (* N (- 1.0 (/ 1 N))) 1/3) (/ 1 (cbrt -1)))) in (N) around 0 8.198 * [taylor]: Taking taylor expansion of (log (* (pow (* N (- 1.0 (/ 1 N))) 1/3) (/ 1 (cbrt -1)))) in N 8.198 * [taylor]: Taking taylor expansion of (* (pow (* N (- 1.0 (/ 1 N))) 1/3) (/ 1 (cbrt -1))) in N 8.198 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 8.198 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 8.198 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 8.198 * [taylor]: Taking taylor expansion of 1/3 in N 8.198 * [backup-simplify]: Simplify 1/3 into 1/3 8.198 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 8.198 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 8.198 * [taylor]: Taking taylor expansion of N in N 8.198 * [backup-simplify]: Simplify 0 into 0 8.198 * [backup-simplify]: Simplify 1 into 1 8.198 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 8.198 * [taylor]: Taking taylor expansion of 1.0 in N 8.198 * [backup-simplify]: Simplify 1.0 into 1.0 8.198 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.198 * [taylor]: Taking taylor expansion of N in N 8.198 * [backup-simplify]: Simplify 0 into 0 8.198 * [backup-simplify]: Simplify 1 into 1 8.199 * [backup-simplify]: Simplify (/ 1 1) into 1 8.199 * [backup-simplify]: Simplify (- 1) into -1 8.200 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.200 * [backup-simplify]: Simplify (* 0 -1) into 0 8.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.202 * [backup-simplify]: Simplify (- 0) into 0 8.202 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.203 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 8.203 * [backup-simplify]: Simplify (log -1) into (log -1) 8.204 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 8.206 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 8.206 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in N 8.206 * [taylor]: Taking taylor expansion of (cbrt -1) in N 8.206 * [taylor]: Taking taylor expansion of -1 in N 8.206 * [backup-simplify]: Simplify -1 into -1 8.206 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.207 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.208 * [backup-simplify]: Simplify (/ 1 (cbrt -1)) into (/ 1 (cbrt -1)) 8.211 * [backup-simplify]: Simplify (* (pow -1 1/3) (/ 1 (cbrt -1))) into (* (/ 1 (cbrt -1)) (pow -1 1/3)) 8.221 * [backup-simplify]: Simplify (log (* (/ 1 (cbrt -1)) (pow -1 1/3))) into (log (* (/ 1 (cbrt -1)) (pow -1 1/3))) 8.221 * [taylor]: Taking taylor expansion of (log (* (pow (* N (- 1.0 (/ 1 N))) 1/3) (/ 1 (cbrt -1)))) in N 8.221 * [taylor]: Taking taylor expansion of (* (pow (* N (- 1.0 (/ 1 N))) 1/3) (/ 1 (cbrt -1))) in N 8.221 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 8.221 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 8.221 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 8.221 * [taylor]: Taking taylor expansion of 1/3 in N 8.221 * [backup-simplify]: Simplify 1/3 into 1/3 8.221 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 8.221 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 8.221 * [taylor]: Taking taylor expansion of N in N 8.221 * [backup-simplify]: Simplify 0 into 0 8.221 * [backup-simplify]: Simplify 1 into 1 8.221 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 8.221 * [taylor]: Taking taylor expansion of 1.0 in N 8.221 * [backup-simplify]: Simplify 1.0 into 1.0 8.221 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.221 * [taylor]: Taking taylor expansion of N in N 8.222 * [backup-simplify]: Simplify 0 into 0 8.222 * [backup-simplify]: Simplify 1 into 1 8.222 * [backup-simplify]: Simplify (/ 1 1) into 1 8.222 * [backup-simplify]: Simplify (- 1) into -1 8.223 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.223 * [backup-simplify]: Simplify (* 0 -1) into 0 8.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.224 * [backup-simplify]: Simplify (- 0) into 0 8.225 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.226 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 8.226 * [backup-simplify]: Simplify (log -1) into (log -1) 8.227 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 8.228 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 8.228 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in N 8.229 * [taylor]: Taking taylor expansion of (cbrt -1) in N 8.229 * [taylor]: Taking taylor expansion of -1 in N 8.229 * [backup-simplify]: Simplify -1 into -1 8.229 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.230 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.231 * [backup-simplify]: Simplify (/ 1 (cbrt -1)) into (/ 1 (cbrt -1)) 8.233 * [backup-simplify]: Simplify (* (pow -1 1/3) (/ 1 (cbrt -1))) into (* (/ 1 (cbrt -1)) (pow -1 1/3)) 8.236 * [backup-simplify]: Simplify (log (* (/ 1 (cbrt -1)) (pow -1 1/3))) into (log (* (/ 1 (cbrt -1)) (pow -1 1/3))) 8.240 * [backup-simplify]: Simplify (log (* (/ 1 (cbrt -1)) (pow -1 1/3))) into (log (* (/ 1 (cbrt -1)) (pow -1 1/3))) 8.241 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))))) into 0 8.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.242 * [backup-simplify]: Simplify (- 0) into 0 8.243 * [backup-simplify]: Simplify (+ 0 0) into 0 8.246 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 8.252 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 8.254 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (log -1))) into (- 0.3333333333333333) 8.260 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (pow -1 1/3)) 8.266 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (* (* -0.3333333333333333 (pow -1 1/3)) (/ 1 (cbrt -1)))) into (- (* 0.3333333333333333 (* (/ 1 (cbrt -1)) (pow -1 1/3)))) 8.289 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 0.3333333333333333 (* (/ 1 (cbrt -1)) (pow -1 1/3))))) 1)) (pow (* (/ 1 (cbrt -1)) (pow -1 1/3)) 1)))) 1) into -0.3333333333333333 8.289 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 8.290 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 8.292 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))))) into 0 8.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.293 * [backup-simplify]: Simplify (- 0) into 0 8.293 * [backup-simplify]: Simplify (+ 0 0) into 0 8.294 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 8.308 * [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 8.310 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (log -1)))) into (- 0.16666666666666666) 8.322 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow -1 1/3)) 8.331 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (+ (* (* -0.3333333333333333 (pow -1 1/3)) 0) (* (* -0.1111111111111111 (pow -1 1/3)) (/ 1 (cbrt -1))))) into (- (* 0.1111111111111111 (* (/ 1 (cbrt -1)) (pow -1 1/3)))) 8.387 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 0.3333333333333333 (* (/ 1 (cbrt -1)) (pow -1 1/3))))) 2)) (pow (* (/ 1 (cbrt -1)) (pow -1 1/3)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 0.1111111111111111 (* (/ 1 (cbrt -1)) (pow -1 1/3))))) 1)) (pow (* (/ 1 (cbrt -1)) (pow -1 1/3)) 1)))) 2) into -0.16666666666666666 8.387 * [backup-simplify]: Simplify -0.16666666666666666 into -0.16666666666666666 8.390 * [backup-simplify]: Simplify (+ (* -0.16666666666666666 (pow (/ 1 (- N)) 2)) (+ (* -0.3333333333333333 (/ 1 (- N))) (log (* (/ 1 (cbrt -1)) (pow -1 1/3))))) into (- (+ (* 0.3333333333333333 (/ 1 N)) (log (* (/ 1 (cbrt -1)) (pow -1 1/3)))) (* 0.16666666666666666 (/ 1 (pow N 2)))) 8.390 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 1 2) 8.391 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3) 8.391 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 8.391 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 8.391 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 8.391 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 8.391 * [taylor]: Taking taylor expansion of 1/3 in N 8.391 * [backup-simplify]: Simplify 1/3 into 1/3 8.391 * [taylor]: Taking taylor expansion of (log N) in N 8.391 * [taylor]: Taking taylor expansion of N in N 8.391 * [backup-simplify]: Simplify 0 into 0 8.391 * [backup-simplify]: Simplify 1 into 1 8.391 * [backup-simplify]: Simplify (log 1) into 0 8.391 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 8.391 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 8.391 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 8.391 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 8.391 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 8.391 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 8.391 * [taylor]: Taking taylor expansion of 1/3 in N 8.391 * [backup-simplify]: Simplify 1/3 into 1/3 8.391 * [taylor]: Taking taylor expansion of (log N) in N 8.391 * [taylor]: Taking taylor expansion of N in N 8.391 * [backup-simplify]: Simplify 0 into 0 8.392 * [backup-simplify]: Simplify 1 into 1 8.392 * [backup-simplify]: Simplify (log 1) into 0 8.392 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 8.392 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 8.392 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 8.392 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 8.393 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.393 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 8.394 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 8.394 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 8.394 * [backup-simplify]: Simplify 0 into 0 8.396 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 8.396 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 8.396 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 8.397 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.397 * [backup-simplify]: Simplify 0 into 0 8.400 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 8.400 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 8.401 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 8.402 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 8.402 * [backup-simplify]: Simplify 0 into 0 8.408 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 8.408 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 8.409 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 8.410 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.410 * [backup-simplify]: Simplify 0 into 0 8.421 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 8.421 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 8.423 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 8.427 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 8.427 * [backup-simplify]: Simplify 0 into 0 8.447 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 8.447 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 8.449 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 8.452 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.452 * [backup-simplify]: Simplify 0 into 0 8.452 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 8.452 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3) 8.452 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 8.452 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 8.452 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 8.452 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 8.452 * [taylor]: Taking taylor expansion of 1/3 in N 8.452 * [backup-simplify]: Simplify 1/3 into 1/3 8.452 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 8.452 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.452 * [taylor]: Taking taylor expansion of N in N 8.452 * [backup-simplify]: Simplify 0 into 0 8.452 * [backup-simplify]: Simplify 1 into 1 8.453 * [backup-simplify]: Simplify (/ 1 1) into 1 8.453 * [backup-simplify]: Simplify (log 1) into 0 8.453 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.453 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 8.453 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 8.453 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 8.453 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 8.453 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 8.453 * [taylor]: Taking taylor expansion of 1/3 in N 8.453 * [backup-simplify]: Simplify 1/3 into 1/3 8.453 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 8.453 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.453 * [taylor]: Taking taylor expansion of N in N 8.453 * [backup-simplify]: Simplify 0 into 0 8.454 * [backup-simplify]: Simplify 1 into 1 8.454 * [backup-simplify]: Simplify (/ 1 1) into 1 8.454 * [backup-simplify]: Simplify (log 1) into 0 8.454 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.454 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 8.454 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 8.455 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 8.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.456 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.456 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.457 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 8.457 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 8.457 * [backup-simplify]: Simplify 0 into 0 8.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.459 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 8.460 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.460 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 8.461 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.461 * [backup-simplify]: Simplify 0 into 0 8.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.465 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 8.465 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.466 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 8.467 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 8.467 * [backup-simplify]: Simplify 0 into 0 8.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.485 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 8.486 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.487 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 8.490 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.490 * [backup-simplify]: Simplify 0 into 0 8.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.512 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 8.513 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.515 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 8.519 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 8.519 * [backup-simplify]: Simplify 0 into 0 8.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.551 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 8.552 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.554 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 8.560 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.560 * [backup-simplify]: Simplify 0 into 0 8.560 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3) 8.561 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 8.561 * [approximate]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in (N) around 0 8.561 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N 8.561 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 8.561 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 8.561 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 8.561 * [taylor]: Taking taylor expansion of 1/3 in N 8.561 * [backup-simplify]: Simplify 1/3 into 1/3 8.561 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 8.561 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.561 * [taylor]: Taking taylor expansion of N in N 8.561 * [backup-simplify]: Simplify 0 into 0 8.561 * [backup-simplify]: Simplify 1 into 1 8.561 * [backup-simplify]: Simplify (/ 1 1) into 1 8.562 * [backup-simplify]: Simplify (log 1) into 0 8.562 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.562 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 8.563 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 8.563 * [taylor]: Taking taylor expansion of (cbrt -1) in N 8.563 * [taylor]: Taking taylor expansion of -1 in N 8.563 * [backup-simplify]: Simplify -1 into -1 8.563 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.564 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.564 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N 8.564 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 8.564 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 8.564 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 8.564 * [taylor]: Taking taylor expansion of 1/3 in N 8.564 * [backup-simplify]: Simplify 1/3 into 1/3 8.564 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 8.564 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.564 * [taylor]: Taking taylor expansion of N in N 8.564 * [backup-simplify]: Simplify 0 into 0 8.564 * [backup-simplify]: Simplify 1 into 1 8.565 * [backup-simplify]: Simplify (/ 1 1) into 1 8.565 * [backup-simplify]: Simplify (log 1) into 0 8.565 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.566 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 8.566 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 8.566 * [taylor]: Taking taylor expansion of (cbrt -1) in N 8.566 * [taylor]: Taking taylor expansion of -1 in N 8.566 * [backup-simplify]: Simplify -1 into -1 8.566 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.567 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.568 * [backup-simplify]: Simplify (* (pow N -1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 8.568 * [backup-simplify]: Simplify (* (pow (/ 1 N) 1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 8.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.571 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.571 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.572 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 8.573 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 8.573 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (* 0 (cbrt -1))) into 0 8.573 * [backup-simplify]: Simplify 0 into 0 8.575 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 8.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.579 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 8.579 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.580 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 8.581 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.583 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 8.583 * [backup-simplify]: Simplify 0 into 0 8.584 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 8.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.590 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 8.591 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.592 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 8.594 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 8.595 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 8.595 * [backup-simplify]: Simplify 0 into 0 8.597 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 8.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.609 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 8.610 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.612 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 8.615 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.616 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0 8.616 * [backup-simplify]: Simplify 0 into 0 8.617 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 8.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.643 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 8.644 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.646 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 8.650 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 8.651 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0 8.651 * [backup-simplify]: Simplify 0 into 0 8.653 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 8.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.686 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 8.688 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.690 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 8.697 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.699 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0 8.699 * [backup-simplify]: Simplify 0 into 0 8.700 * [backup-simplify]: Simplify (* (pow (/ 1 (/ 1 (- N))) 1/3) (cbrt -1)) into (* (pow (* N -1) 1/3) (cbrt -1)) 8.700 * * * [progress]: simplifying candidates 8.706 * [simplify]: Simplifying: (expm1 (log (cbrt (/ (cbrt (+ N 1.0)) (cbrt N))))) (log1p (log (cbrt (/ (cbrt (+ N 1.0)) (cbrt N))))) (log (cbrt (* (cbrt (/ (cbrt (+ N 1.0)) (cbrt N))) (cbrt (/ (cbrt (+ N 1.0)) (cbrt N)))))) (log (cbrt (cbrt (/ (cbrt (+ N 1.0)) (cbrt N))))) (log (cbrt (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))))) (log (cbrt (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))))) (log (cbrt (/ (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (* (cbrt N) (cbrt N)))))) (log (cbrt (/ (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt N))))) (log (cbrt (/ (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (sqrt N))))) (log (cbrt (/ (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt N))))) (log (cbrt (/ (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt 1)))) (log (cbrt (/ (cbrt (cbrt (+ N 1.0))) (cbrt N)))) (log (cbrt (/ (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (* (cbrt (cbrt N)) (cbrt (cbrt N)))))) (log (cbrt (/ (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt N))))) (log (cbrt (/ (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (sqrt (cbrt N))))) (log (cbrt (/ (cbrt (cbrt (+ N 1.0))) (sqrt (cbrt N))))) (log (cbrt (/ (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) 1))) (log (cbrt (/ (cbrt (cbrt (+ N 1.0))) (cbrt N)))) (log (cbrt (/ (cbrt (sqrt (+ N 1.0))) (cbrt (* (cbrt N) (cbrt N)))))) (log (cbrt (/ (cbrt (sqrt (+ N 1.0))) (cbrt (cbrt N))))) (log (cbrt (/ (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt N))))) (log (cbrt (/ (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt N))))) (log (cbrt (/ (cbrt (sqrt (+ N 1.0))) (cbrt 1)))) (log (cbrt (/ (cbrt (sqrt (+ N 1.0))) (cbrt N)))) (log (cbrt (/ (cbrt (sqrt (+ N 1.0))) (* (cbrt (cbrt N)) (cbrt (cbrt N)))))) (log (cbrt (/ (cbrt (sqrt (+ N 1.0))) (cbrt (cbrt N))))) (log (cbrt (/ (cbrt (sqrt (+ N 1.0))) (sqrt (cbrt N))))) (log (cbrt (/ (cbrt (sqrt (+ N 1.0))) (sqrt (cbrt N))))) (log (cbrt (/ (cbrt (sqrt (+ N 1.0))) 1))) (log (cbrt (/ (cbrt (sqrt (+ N 1.0))) (cbrt N)))) (log (cbrt (/ (cbrt 1) (cbrt (* (cbrt N) (cbrt N)))))) (log (cbrt (/ (cbrt (+ N 1.0)) (cbrt (cbrt N))))) (log (cbrt (/ (cbrt 1) (cbrt (sqrt N))))) (log (cbrt (/ (cbrt (+ N 1.0)) (cbrt (sqrt N))))) (log (cbrt (/ (cbrt 1) (cbrt 1)))) (log (cbrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (cbrt (/ (cbrt 1) (* (cbrt (cbrt N)) (cbrt (cbrt N)))))) (log (cbrt (/ (cbrt (+ N 1.0)) (cbrt (cbrt N))))) (log (cbrt (/ (cbrt 1) (sqrt (cbrt N))))) (log (cbrt (/ (cbrt (+ N 1.0)) (sqrt (cbrt N))))) (log (cbrt (/ (cbrt 1) 1))) (log (cbrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (cbrt (/ (cbrt 1) (cbrt (* (cbrt N) (cbrt N)))))) (log (cbrt (/ (cbrt (+ N 1.0)) (cbrt (cbrt N))))) (log (cbrt (/ (cbrt 1) (cbrt (sqrt N))))) (log (cbrt (/ (cbrt (+ N 1.0)) (cbrt (sqrt N))))) (log (cbrt (/ (cbrt 1) (cbrt 1)))) (log (cbrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (cbrt (/ (cbrt 1) (* (cbrt (cbrt N)) (cbrt (cbrt N)))))) (log (cbrt (/ (cbrt (+ N 1.0)) (cbrt (cbrt N))))) (log (cbrt (/ (cbrt 1) (sqrt (cbrt N))))) (log (cbrt (/ (cbrt (+ N 1.0)) (sqrt (cbrt N))))) (log (cbrt (/ (cbrt 1) 1))) (log (cbrt (/ (cbrt (+ N 1.0)) (cbrt 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1 (pow N 2)))) (- (+ (* 1/3 (log 1.0)) (* 0.3333333333333333 N)) (+ (* 1/6 (/ (pow N 2) (pow 1.0 2))) (* 1/3 (log N)))) (- (+ (* 0.1111111111111111 (/ 1 (pow N 3))) (* 0.3333333333333333 (/ 1 N))) (* 0.16666666666666666 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 N)) (log (* (/ 1 (cbrt -1)) (pow -1 1/3)))) (* 0.16666666666666666 (/ 1 (pow N 2)))) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* N -1) 1/3) (cbrt -1)) 8.715 * * [simplify]: iteration 0: 373 enodes 8.829 * * [simplify]: iteration 1: 616 enodes 9.064 * * [simplify]: iteration 2: 1642 enodes 9.487 * * [simplify]: iteration complete: 5000 enodes 9.487 * * [simplify]: Extracting #0: cost 121 inf + 0 9.491 * * [simplify]: Extracting #1: cost 948 inf + 5 9.500 * * [simplify]: Extracting #2: cost 1495 inf + 664 9.520 * * [simplify]: Extracting #3: cost 1230 inf + 3012 9.531 * * [simplify]: Extracting #4: cost 684 inf + 6576 9.542 * * [simplify]: Extracting #5: cost 303 inf + 9971 9.553 * * [simplify]: Extracting #6: cost 63 inf + 12663 9.563 * * [simplify]: Extracting #7: cost 3 inf + 13424 9.574 * * [simplify]: Extracting #8: cost 0 inf + 13464 9.583 * [simplify]: Simplified to: (expm1 (log (cbrt (/ (cbrt (+ 1.0 N)) (cbrt N))))) (log1p (log (cbrt (/ (cbrt (+ 1.0 N)) (cbrt N))))) (log (cbrt (pow (exp 2) (log (cbrt (/ (cbrt (+ 1.0 N)) (cbrt N))))))) (log (cbrt (cbrt (/ (cbrt (+ 1.0 N)) (cbrt N))))) (log (cbrt (sqrt (/ (cbrt (+ 1.0 N)) (cbrt N))))) (log (cbrt (sqrt (/ (cbrt (+ 1.0 N)) (cbrt N))))) (log (cbrt (/ (cbrt (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (cbrt (pow N 2/3))))) (log (cbrt (/ (cbrt (cbrt (+ 1.0 N))) (cbrt (cbrt N))))) (log (cbrt (/ (cbrt (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (cbrt (sqrt N))))) (log (cbrt (/ (cbrt (cbrt (+ 1.0 N))) (cbrt (sqrt N))))) (log (cbrt (cbrt (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))))) (log (cbrt (/ (cbrt (cbrt (+ 1.0 N))) (cbrt N)))) (log (cbrt (/ (cbrt (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (* (cbrt (cbrt N)) (cbrt (cbrt N)))))) (log (cbrt (/ (cbrt (cbrt (+ 1.0 N))) (cbrt 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0.1111111111111111 N) (- (/ (/ 0.05555555555555555 N) N) (/ 0.037037037037037035 (pow N 3)))) (- (fma 1/3 (- (log (cbrt -1))) (fma 1/9 (log -1) (/ 0.1111111111111111 N))) (/ (/ 0.05555555555555555 N) N)) (- (fma 1/3 (log 1.0) (* N 0.3333333333333333)) (fma (/ (* N N) (* 1.0 1.0)) 1/6 (log (cbrt N)))) (+ (/ 0.3333333333333333 N) (* (/ 1 (* N N)) (- (/ 0.1111111111111111 N) 0.16666666666666666))) (+ (- (log 1) (/ (/ 0.16666666666666666 N) N)) (/ 0.3333333333333333 N)) (cbrt N) (pow (/ 1 N) -1/3) (* (cbrt -1) (cbrt (- N))) 9.585 * * * [progress]: adding candidates to table 11.183 * [progress]: [Phase 3 of 3] Extracting. 11.183 * * [regime]: Finding splitpoints for: (# # # # #) 11.189 * * * [regime-changes]: Trying 1 branch expressions: (N) 11.190 * * * * [regimes]: Trying to branch on N from (# # # # #) 11.297 * * * [regime]: Found split indices: #