20.857 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.054 * * * [progress]: [2/2] Setting up program. 0.056 * [progress]: [Phase 2 of 3] Improving. 0.056 * [simplify]: Simplifying: (- (log (+ N 1.0)) (log N)) 0.056 * [simplify]: Sending expressions to egg_math: (- (log (+ h0 1.0)) (log h0)) 0.071 * * [progress]: iteration 1 / 4 0.071 * * * [progress]: picking best candidate 0.073 * * * * [pick]: Picked # 0.073 * * * [progress]: localizing error 0.081 * * * [progress]: generating rewritten candidates 0.081 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.086 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.118 * * * [progress]: generating series expansions 0.118 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.121 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 0.121 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.122 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.122 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.122 * [taylor]: Taking taylor expansion of N in N 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify 1 into 1 0.122 * [taylor]: Taking taylor expansion of 1.0 in N 0.122 * [backup-simplify]: Simplify 1.0 into 1.0 0.123 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.124 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.124 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.124 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.124 * [taylor]: Taking taylor expansion of N in N 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 1 into 1 0.124 * [taylor]: Taking taylor expansion of 1.0 in N 0.124 * [backup-simplify]: Simplify 1.0 into 1.0 0.124 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.124 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.125 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.126 * [backup-simplify]: Simplify (+ 1 0) into 1 0.130 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.130 * [backup-simplify]: Simplify 1.0 into 1.0 0.131 * [backup-simplify]: Simplify (+ 0 0) into 0 0.139 * [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)) 0.141 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.143 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (log 1.0))) into (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) 0.143 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 0.143 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.143 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.143 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.143 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.143 * [taylor]: Taking taylor expansion of N in N 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 1 into 1 0.144 * [backup-simplify]: Simplify (/ 1 1) into 1 0.144 * [taylor]: Taking taylor expansion of 1.0 in N 0.144 * [backup-simplify]: Simplify 1.0 into 1.0 0.145 * [backup-simplify]: Simplify (+ 1 0) into 1 0.145 * [backup-simplify]: Simplify (log 1) into 0 0.145 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.145 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.145 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.145 * [taylor]: Taking taylor expansion of N in N 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify 1 into 1 0.145 * [backup-simplify]: Simplify (/ 1 1) into 1 0.145 * [taylor]: Taking taylor expansion of 1.0 in N 0.146 * [backup-simplify]: Simplify 1.0 into 1.0 0.146 * [backup-simplify]: Simplify (+ 1 0) into 1 0.146 * [backup-simplify]: Simplify (log 1) into 0 0.147 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.147 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.148 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.155 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.155 * [backup-simplify]: Simplify 1.0 into 1.0 0.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.156 * [backup-simplify]: Simplify (+ 0 0) into 0 0.168 * [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 0.168 * [backup-simplify]: Simplify -0.5 into -0.5 0.168 * [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)))) 0.169 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 0.169 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.169 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.169 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.169 * [taylor]: Taking taylor expansion of 1.0 in N 0.169 * [backup-simplify]: Simplify 1.0 into 1.0 0.169 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.169 * [taylor]: Taking taylor expansion of N in N 0.169 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify 1 into 1 0.169 * [backup-simplify]: Simplify (/ 1 1) into 1 0.170 * [backup-simplify]: Simplify (- 1) into -1 0.170 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.170 * [backup-simplify]: Simplify (log -1) into (log -1) 0.170 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.171 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.171 * [taylor]: Taking taylor expansion of 1.0 in N 0.171 * [backup-simplify]: Simplify 1.0 into 1.0 0.171 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.171 * [taylor]: Taking taylor expansion of N in N 0.171 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify 1 into 1 0.171 * [backup-simplify]: Simplify (/ 1 1) into 1 0.171 * [backup-simplify]: Simplify (- 1) into -1 0.172 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.172 * [backup-simplify]: Simplify (log -1) into (log -1) 0.173 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.174 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.175 * [backup-simplify]: Simplify (- 0) into 0 0.175 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.182 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.182 * [backup-simplify]: Simplify -1.0 into -1.0 0.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.183 * [backup-simplify]: Simplify (- 0) into 0 0.184 * [backup-simplify]: Simplify (+ 0 0) into 0 0.195 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 0.195 * [backup-simplify]: Simplify -0.5 into -0.5 0.196 * [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)))) 0.196 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.197 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N)) 0.197 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.197 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.197 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.197 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.197 * [taylor]: Taking taylor expansion of N in N 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 1 into 1 0.197 * [taylor]: Taking taylor expansion of 1.0 in N 0.197 * [backup-simplify]: Simplify 1.0 into 1.0 0.197 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.198 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.198 * [taylor]: Taking taylor expansion of (log N) in N 0.198 * [taylor]: Taking taylor expansion of N in N 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify 1 into 1 0.198 * [backup-simplify]: Simplify (log 1) into 0 0.198 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.198 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.198 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.198 * [taylor]: Taking taylor expansion of N in N 0.198 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify 1 into 1 0.199 * [taylor]: Taking taylor expansion of 1.0 in N 0.199 * [backup-simplify]: Simplify 1.0 into 1.0 0.199 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.199 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.199 * [taylor]: Taking taylor expansion of (log N) in N 0.199 * [taylor]: Taking taylor expansion of N in N 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify 1 into 1 0.200 * [backup-simplify]: Simplify (log 1) into 0 0.200 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.200 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.201 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 0.201 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.202 * [backup-simplify]: Simplify (+ 1 0) into 1 0.207 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.209 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.209 * [backup-simplify]: Simplify (- 0) into 0 0.209 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.209 * [backup-simplify]: Simplify 1.0 into 1.0 0.210 * [backup-simplify]: Simplify (+ 0 0) into 0 0.228 * [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)) 0.231 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.231 * [backup-simplify]: Simplify (- 0) into 0 0.234 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.237 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.240 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (pow 1.0 2)))) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 0.241 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 0.241 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.241 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.241 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.241 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.241 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.241 * [taylor]: Taking taylor expansion of N in N 0.241 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify 1 into 1 0.241 * [backup-simplify]: Simplify (/ 1 1) into 1 0.241 * [taylor]: Taking taylor expansion of 1.0 in N 0.241 * [backup-simplify]: Simplify 1.0 into 1.0 0.242 * [backup-simplify]: Simplify (+ 1 0) into 1 0.242 * [backup-simplify]: Simplify (log 1) into 0 0.242 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.242 * [taylor]: Taking taylor expansion of (/ 1 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 0.243 * [backup-simplify]: Simplify (/ 1 1) into 1 0.243 * [backup-simplify]: Simplify (log 1) into 0 0.243 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.243 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.243 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.243 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.243 * [taylor]: Taking taylor expansion of N in N 0.243 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify 1 into 1 0.244 * [backup-simplify]: Simplify (/ 1 1) into 1 0.244 * [taylor]: Taking taylor expansion of 1.0 in N 0.244 * [backup-simplify]: Simplify 1.0 into 1.0 0.244 * [backup-simplify]: Simplify (+ 1 0) into 1 0.245 * [backup-simplify]: Simplify (log 1) into 0 0.245 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.245 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.245 * [taylor]: Taking taylor expansion of N in N 0.245 * [backup-simplify]: Simplify 0 into 0 0.245 * [backup-simplify]: Simplify 1 into 1 0.245 * [backup-simplify]: Simplify (/ 1 1) into 1 0.246 * [backup-simplify]: Simplify (log 1) into 0 0.246 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.246 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.247 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.247 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.248 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.254 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.256 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.257 * [backup-simplify]: Simplify (- 0) into 0 0.257 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.257 * [backup-simplify]: Simplify 1.0 into 1.0 0.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.259 * [backup-simplify]: Simplify (+ 0 0) into 0 0.271 * [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 0.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.274 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.275 * [backup-simplify]: Simplify (- 0) into 0 0.275 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.276 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.277 * [backup-simplify]: Simplify (+ 0 0) into 0 0.296 * [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 0.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.302 * [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 0.303 * [backup-simplify]: Simplify (- 0) into 0 0.303 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.303 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.304 * [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)))) 0.305 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 0.305 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.305 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.305 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.305 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.305 * [taylor]: Taking taylor expansion of 1.0 in N 0.305 * [backup-simplify]: Simplify 1.0 into 1.0 0.305 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.305 * [taylor]: Taking taylor expansion of N in N 0.305 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify 1 into 1 0.305 * [backup-simplify]: Simplify (/ 1 1) into 1 0.306 * [backup-simplify]: Simplify (- 1) into -1 0.306 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.307 * [backup-simplify]: Simplify (log -1) into (log -1) 0.307 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.307 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.307 * [taylor]: Taking taylor expansion of -1 in N 0.307 * [backup-simplify]: Simplify -1 into -1 0.307 * [taylor]: Taking taylor expansion of N in N 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify 1 into 1 0.307 * [backup-simplify]: Simplify (/ -1 1) into -1 0.308 * [backup-simplify]: Simplify (log -1) into (log -1) 0.308 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.308 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.308 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.308 * [taylor]: Taking taylor expansion of 1.0 in N 0.308 * [backup-simplify]: Simplify 1.0 into 1.0 0.308 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.308 * [taylor]: Taking taylor expansion of N in N 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify 1 into 1 0.309 * [backup-simplify]: Simplify (/ 1 1) into 1 0.309 * [backup-simplify]: Simplify (- 1) into -1 0.309 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.310 * [backup-simplify]: Simplify (log -1) into (log -1) 0.310 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.310 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.310 * [taylor]: Taking taylor expansion of -1 in N 0.310 * [backup-simplify]: Simplify -1 into -1 0.310 * [taylor]: Taking taylor expansion of N in N 0.310 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify 1 into 1 0.310 * [backup-simplify]: Simplify (/ -1 1) into -1 0.311 * [backup-simplify]: Simplify (log -1) into (log -1) 0.312 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.313 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.313 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.314 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.314 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.315 * [backup-simplify]: Simplify (- 0) into 0 0.316 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.323 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.324 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.326 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.326 * [backup-simplify]: Simplify (- 0) into 0 0.326 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 0.327 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.328 * [backup-simplify]: Simplify (- 0) into 0 0.329 * [backup-simplify]: Simplify (+ 0 0) into 0 0.342 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 0.343 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.346 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.347 * [backup-simplify]: Simplify (- 0) into 0 0.347 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.347 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.349 * [backup-simplify]: Simplify (- 0) into 0 0.349 * [backup-simplify]: Simplify (+ 0 0) into 0 0.369 * [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 0.370 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.376 * [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 0.376 * [backup-simplify]: Simplify (- 0) into 0 0.377 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 0.377 * [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: (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (exp (- (log (+ N 1.0)) (log N))) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (* (* (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N))) (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (+ (* (log N) (log N)) (* (log (+ N 1.0)) (log N)))) (- (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log (* (cbrt N) (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (- (log (+ N 1.0)) (log 1)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log N)) (+ (log (- N 1.0)) (log N)) (- (log N)) (- (+ (* 1.0 N) (log 1.0)) (* 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)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 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)))) 0.381 * [simplify]: Sending expressions to egg_math: (log (* (cbrt (+ h0 1.0)) (cbrt (+ h0 1.0)))) (log (cbrt (+ h0 1.0))) (log (sqrt (+ h0 1.0))) (log (sqrt (+ h0 1.0))) (log 1) (log (+ h0 1.0)) (log 1) (log (+ h0 1.0)) (log (+ (pow h0 3) (pow 1.0 3))) (log (+ (* h0 h0) (- (* 1.0 1.0) (* h0 1.0)))) (log (- (* h0 h0) (* 1.0 1.0))) (log (- h0 1.0)) (log (+ h0 1.0)) (log (log (+ h0 1.0))) (exp (log (+ h0 1.0))) (* (cbrt (log (+ h0 1.0))) (cbrt (log (+ h0 1.0)))) (cbrt (log (+ h0 1.0))) (* (* (log (+ h0 1.0)) (log (+ h0 1.0))) (log (+ h0 1.0))) (sqrt (log (+ h0 1.0))) (sqrt (log (+ h0 1.0))) (/ (+ h0 1.0) h0) (log (- (log (+ h0 1.0)) (log h0))) (exp (- (log (+ h0 1.0)) (log h0))) (* (cbrt (- (log (+ h0 1.0)) (log h0))) (cbrt (- (log (+ h0 1.0)) (log h0)))) (cbrt (- (log (+ h0 1.0)) (log h0))) (* (* (- (log (+ h0 1.0)) (log h0)) (- (log (+ h0 1.0)) (log h0))) (- (log (+ h0 1.0)) (log h0))) (sqrt (- (log (+ h0 1.0)) (log h0))) (sqrt (- (log (+ h0 1.0)) (log h0))) (- (pow (log (+ h0 1.0)) 3) (pow (log h0) 3)) (+ (* (log (+ h0 1.0)) (log (+ h0 1.0))) (+ (* (log h0) (log h0)) (* (log (+ h0 1.0)) (log h0)))) (- (log h0)) (- (* (log (+ h0 1.0)) (log (+ h0 1.0))) (* (log h0) (log h0))) (+ (log (+ h0 1.0)) (log h0)) (+ (sqrt (log (+ h0 1.0))) (sqrt (log h0))) (- (sqrt (log (+ h0 1.0))) (sqrt (log h0))) (- (log (+ h0 1.0)) (log h0)) (- (log (+ h0 1.0)) (log h0)) (- (log (+ h0 1.0)) (log h0)) (- (log (+ h0 1.0)) (log h0)) (- (log (+ h0 1.0)) (log (* (cbrt h0) (cbrt h0)))) (- (log (+ h0 1.0)) (log (sqrt h0))) (- (log (+ h0 1.0)) (log 1)) (- (log (cbrt (+ h0 1.0))) (log h0)) (- (log (sqrt (+ h0 1.0))) (log h0)) (- (log (+ h0 1.0)) (log h0)) (- (log (+ h0 1.0)) (log h0)) (+ (log (+ (* h0 h0) (- (* 1.0 1.0) (* h0 1.0)))) (log h0)) (+ (log (- h0 1.0)) (log h0)) (- (log h0)) (- (+ (* 1.0 h0) (log 1.0)) (* h1 (/ (pow h0 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 h0)) (+ (* h2 (/ 1 (pow h0 2))) (log (/ 1 h0)))) (- (+ (* 1.0 (/ 1 h0)) (log -1)) (+ (* h2 (/ 1 (pow h0 2))) (log (/ -1 h0)))) (- (+ (* 1.0 h0) (log 1.0)) (+ (* h1 (/ (pow h0 2) (pow 1.0 2))) (log h0))) (- (+ (* h3 (/ 1 (pow h0 3))) (* 1.0 (/ 1 h0))) (* h2 (/ 1 (pow h0 2)))) (- (+ (* h3 (/ 1 (pow h0 3))) (* 1.0 (/ 1 h0))) (* h2 (/ 1 (pow h0 2)))) 1.202 * * * [progress]: adding candidates to table 1.353 * * [progress]: iteration 2 / 4 1.353 * * * [progress]: picking best candidate 1.360 * * * * [pick]: Picked # 1.360 * * * [progress]: localizing error 1.382 * * * [progress]: generating rewritten candidates 1.382 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.417 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 1.426 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 1.436 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.468 * * * [progress]: generating series expansions 1.468 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.468 * [backup-simplify]: Simplify (- (* (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0)))) (log N)) into (- (log (+ N 1.0)) (log N)) 1.468 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 1.468 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 1.468 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.468 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.468 * [taylor]: Taking taylor expansion of N in N 1.468 * [backup-simplify]: Simplify 0 into 0 1.468 * [backup-simplify]: Simplify 1 into 1 1.468 * [taylor]: Taking taylor expansion of 1.0 in N 1.468 * [backup-simplify]: Simplify 1.0 into 1.0 1.469 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.469 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.469 * [taylor]: Taking taylor expansion of (log N) in N 1.469 * [taylor]: Taking taylor expansion of N in N 1.469 * [backup-simplify]: Simplify 0 into 0 1.469 * [backup-simplify]: Simplify 1 into 1 1.470 * [backup-simplify]: Simplify (log 1) into 0 1.470 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 1.470 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.470 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.470 * [taylor]: Taking taylor expansion of N in N 1.470 * [backup-simplify]: Simplify 0 into 0 1.470 * [backup-simplify]: Simplify 1 into 1 1.470 * [taylor]: Taking taylor expansion of 1.0 in N 1.470 * [backup-simplify]: Simplify 1.0 into 1.0 1.470 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.470 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.470 * [taylor]: Taking taylor expansion of (log N) in N 1.470 * [taylor]: Taking taylor expansion of N in N 1.470 * [backup-simplify]: Simplify 0 into 0 1.470 * [backup-simplify]: Simplify 1 into 1 1.471 * [backup-simplify]: Simplify (log 1) into 0 1.471 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.471 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 1.471 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 1.472 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 1.472 * [backup-simplify]: Simplify (+ 1 0) into 1 1.475 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 1.476 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.476 * [backup-simplify]: Simplify (- 0) into 0 1.476 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.476 * [backup-simplify]: Simplify 1.0 into 1.0 1.477 * [backup-simplify]: Simplify (+ 0 0) into 0 1.483 * [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)) 1.484 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.484 * [backup-simplify]: Simplify (- 0) into 0 1.486 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 1.487 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 1.489 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (pow 1.0 2)))) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 1.490 * [backup-simplify]: Simplify (- (* (sqrt (log (+ (/ 1 N) 1.0))) (sqrt (log (+ (/ 1 N) 1.0)))) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 1.490 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 1.490 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 1.490 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.490 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.490 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.490 * [taylor]: Taking taylor expansion of N in N 1.490 * [backup-simplify]: Simplify 0 into 0 1.490 * [backup-simplify]: Simplify 1 into 1 1.490 * [backup-simplify]: Simplify (/ 1 1) into 1 1.490 * [taylor]: Taking taylor expansion of 1.0 in N 1.490 * [backup-simplify]: Simplify 1.0 into 1.0 1.490 * [backup-simplify]: Simplify (+ 1 0) into 1 1.491 * [backup-simplify]: Simplify (log 1) into 0 1.491 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.491 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.491 * [taylor]: Taking taylor expansion of N in N 1.491 * [backup-simplify]: Simplify 0 into 0 1.491 * [backup-simplify]: Simplify 1 into 1 1.491 * [backup-simplify]: Simplify (/ 1 1) into 1 1.491 * [backup-simplify]: Simplify (log 1) into 0 1.491 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 1.491 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.491 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.491 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.491 * [taylor]: Taking taylor expansion of N in N 1.491 * [backup-simplify]: Simplify 0 into 0 1.491 * [backup-simplify]: Simplify 1 into 1 1.492 * [backup-simplify]: Simplify (/ 1 1) into 1 1.492 * [taylor]: Taking taylor expansion of 1.0 in N 1.492 * [backup-simplify]: Simplify 1.0 into 1.0 1.492 * [backup-simplify]: Simplify (+ 1 0) into 1 1.492 * [backup-simplify]: Simplify (log 1) into 0 1.492 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.492 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.492 * [taylor]: Taking taylor expansion of N in N 1.492 * [backup-simplify]: Simplify 0 into 0 1.492 * [backup-simplify]: Simplify 1 into 1 1.492 * [backup-simplify]: Simplify (/ 1 1) into 1 1.493 * [backup-simplify]: Simplify (log 1) into 0 1.493 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.493 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.493 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 1.493 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 1.493 * [backup-simplify]: Simplify 0 into 0 1.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.494 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.498 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 1.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.499 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.499 * [backup-simplify]: Simplify (- 0) into 0 1.500 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.500 * [backup-simplify]: Simplify 1.0 into 1.0 1.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.500 * [backup-simplify]: Simplify (+ 0 0) into 0 1.516 * [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 1.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.520 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.520 * [backup-simplify]: Simplify (- 0) into 0 1.521 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 1.521 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 1.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.523 * [backup-simplify]: Simplify (+ 0 0) into 0 1.541 * [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 1.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.548 * [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 1.548 * [backup-simplify]: Simplify (- 0) into 0 1.549 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 1.549 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 1.550 * [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)))) 1.550 * [backup-simplify]: Simplify (- (* (sqrt (log (+ (/ 1 (- N)) 1.0))) (sqrt (log (+ (/ 1 (- N)) 1.0)))) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 1.550 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 1.550 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 1.550 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.550 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.550 * [taylor]: Taking taylor expansion of 1.0 in N 1.551 * [backup-simplify]: Simplify 1.0 into 1.0 1.551 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.551 * [taylor]: Taking taylor expansion of N in N 1.551 * [backup-simplify]: Simplify 0 into 0 1.551 * [backup-simplify]: Simplify 1 into 1 1.551 * [backup-simplify]: Simplify (/ 1 1) into 1 1.551 * [backup-simplify]: Simplify (- 1) into -1 1.552 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.552 * [backup-simplify]: Simplify (log -1) into (log -1) 1.552 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 1.552 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.552 * [taylor]: Taking taylor expansion of -1 in N 1.552 * [backup-simplify]: Simplify -1 into -1 1.552 * [taylor]: Taking taylor expansion of N in N 1.552 * [backup-simplify]: Simplify 0 into 0 1.552 * [backup-simplify]: Simplify 1 into 1 1.553 * [backup-simplify]: Simplify (/ -1 1) into -1 1.553 * [backup-simplify]: Simplify (log -1) into (log -1) 1.553 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 1.553 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.553 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.553 * [taylor]: Taking taylor expansion of 1.0 in N 1.553 * [backup-simplify]: Simplify 1.0 into 1.0 1.553 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.553 * [taylor]: Taking taylor expansion of N in N 1.554 * [backup-simplify]: Simplify 0 into 0 1.554 * [backup-simplify]: Simplify 1 into 1 1.554 * [backup-simplify]: Simplify (/ 1 1) into 1 1.554 * [backup-simplify]: Simplify (- 1) into -1 1.555 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.555 * [backup-simplify]: Simplify (log -1) into (log -1) 1.555 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 1.555 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.555 * [taylor]: Taking taylor expansion of -1 in N 1.555 * [backup-simplify]: Simplify -1 into -1 1.555 * [taylor]: Taking taylor expansion of N in N 1.555 * [backup-simplify]: Simplify 0 into 0 1.555 * [backup-simplify]: Simplify 1 into 1 1.556 * [backup-simplify]: Simplify (/ -1 1) into -1 1.556 * [backup-simplify]: Simplify (log -1) into (log -1) 1.557 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.558 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.558 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 1.559 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 1.559 * [backup-simplify]: Simplify 0 into 0 1.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.560 * [backup-simplify]: Simplify (- 0) into 0 1.561 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.565 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 1.566 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.567 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1.567 * [backup-simplify]: Simplify (- 0) into 0 1.567 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 1.567 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 1.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.568 * [backup-simplify]: Simplify (- 0) into 0 1.568 * [backup-simplify]: Simplify (+ 0 0) into 0 1.575 * [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 1.575 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.577 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 1.577 * [backup-simplify]: Simplify (- 0) into 0 1.577 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 1.578 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 1.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.578 * [backup-simplify]: Simplify (- 0) into 0 1.579 * [backup-simplify]: Simplify (+ 0 0) into 0 1.589 * [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 1.590 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.595 * [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 1.596 * [backup-simplify]: Simplify (- 0) into 0 1.596 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 1.597 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 1.598 * [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)))) 1.599 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 1.599 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 1.599 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 1.599 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.599 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.599 * [taylor]: Taking taylor expansion of N in N 1.599 * [backup-simplify]: Simplify 0 into 0 1.599 * [backup-simplify]: Simplify 1 into 1 1.599 * [taylor]: Taking taylor expansion of 1.0 in N 1.599 * [backup-simplify]: Simplify 1.0 into 1.0 1.599 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.600 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.600 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.600 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.600 * [taylor]: Taking taylor expansion of N in N 1.600 * [backup-simplify]: Simplify 0 into 0 1.600 * [backup-simplify]: Simplify 1 into 1 1.600 * [taylor]: Taking taylor expansion of 1.0 in N 1.600 * [backup-simplify]: Simplify 1.0 into 1.0 1.601 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.601 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.601 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.602 * [backup-simplify]: Simplify (+ 1 0) into 1 1.607 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 1.607 * [backup-simplify]: Simplify 1.0 into 1.0 1.608 * [backup-simplify]: Simplify (+ 0 0) into 0 1.618 * [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)) 1.619 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 1.621 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (log 1.0))) into (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) 1.621 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 1.621 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 1.621 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.621 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.621 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.621 * [taylor]: Taking taylor expansion of N in N 1.621 * [backup-simplify]: Simplify 0 into 0 1.621 * [backup-simplify]: Simplify 1 into 1 1.622 * [backup-simplify]: Simplify (/ 1 1) into 1 1.622 * [taylor]: Taking taylor expansion of 1.0 in N 1.622 * [backup-simplify]: Simplify 1.0 into 1.0 1.622 * [backup-simplify]: Simplify (+ 1 0) into 1 1.622 * [backup-simplify]: Simplify (log 1) into 0 1.623 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.623 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.623 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.623 * [taylor]: Taking taylor expansion of N in N 1.623 * [backup-simplify]: Simplify 0 into 0 1.623 * [backup-simplify]: Simplify 1 into 1 1.623 * [backup-simplify]: Simplify (/ 1 1) into 1 1.623 * [taylor]: Taking taylor expansion of 1.0 in N 1.623 * [backup-simplify]: Simplify 1.0 into 1.0 1.623 * [backup-simplify]: Simplify (+ 1 0) into 1 1.623 * [backup-simplify]: Simplify (log 1) into 0 1.624 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.624 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 1.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.624 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.628 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 1.628 * [backup-simplify]: Simplify 1.0 into 1.0 1.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.632 * [backup-simplify]: Simplify (+ 0 0) into 0 1.638 * [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 1.638 * [backup-simplify]: Simplify -0.5 into -0.5 1.638 * [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)))) 1.638 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 1.638 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 1.638 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.638 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.638 * [taylor]: Taking taylor expansion of 1.0 in N 1.639 * [backup-simplify]: Simplify 1.0 into 1.0 1.639 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.639 * [taylor]: Taking taylor expansion of N in N 1.639 * [backup-simplify]: Simplify 0 into 0 1.639 * [backup-simplify]: Simplify 1 into 1 1.639 * [backup-simplify]: Simplify (/ 1 1) into 1 1.639 * [backup-simplify]: Simplify (- 1) into -1 1.639 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.640 * [backup-simplify]: Simplify (log -1) into (log -1) 1.640 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.640 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.640 * [taylor]: Taking taylor expansion of 1.0 in N 1.640 * [backup-simplify]: Simplify 1.0 into 1.0 1.640 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.640 * [taylor]: Taking taylor expansion of N in N 1.640 * [backup-simplify]: Simplify 0 into 0 1.640 * [backup-simplify]: Simplify 1 into 1 1.640 * [backup-simplify]: Simplify (/ 1 1) into 1 1.640 * [backup-simplify]: Simplify (- 1) into -1 1.641 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.641 * [backup-simplify]: Simplify (log -1) into (log -1) 1.642 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.642 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 1.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.643 * [backup-simplify]: Simplify (- 0) into 0 1.643 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.647 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 1.647 * [backup-simplify]: Simplify -1.0 into -1.0 1.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.648 * [backup-simplify]: Simplify (- 0) into 0 1.648 * [backup-simplify]: Simplify (+ 0 0) into 0 1.659 * [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 1.659 * [backup-simplify]: Simplify -0.5 into -0.5 1.660 * [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)))) 1.660 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 1.660 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 1.660 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 1.660 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.660 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.660 * [taylor]: Taking taylor expansion of N in N 1.660 * [backup-simplify]: Simplify 0 into 0 1.660 * [backup-simplify]: Simplify 1 into 1 1.660 * [taylor]: Taking taylor expansion of 1.0 in N 1.660 * [backup-simplify]: Simplify 1.0 into 1.0 1.661 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.661 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.661 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.661 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.661 * [taylor]: Taking taylor expansion of N in N 1.661 * [backup-simplify]: Simplify 0 into 0 1.661 * [backup-simplify]: Simplify 1 into 1 1.661 * [taylor]: Taking taylor expansion of 1.0 in N 1.661 * [backup-simplify]: Simplify 1.0 into 1.0 1.662 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.662 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.662 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.663 * [backup-simplify]: Simplify (+ 1 0) into 1 1.669 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 1.669 * [backup-simplify]: Simplify 1.0 into 1.0 1.669 * [backup-simplify]: Simplify (+ 0 0) into 0 1.680 * [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)) 1.681 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 1.683 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (log 1.0))) into (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) 1.683 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 1.683 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 1.683 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.683 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.683 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.683 * [taylor]: Taking taylor expansion of N in N 1.683 * [backup-simplify]: Simplify 0 into 0 1.683 * [backup-simplify]: Simplify 1 into 1 1.683 * [backup-simplify]: Simplify (/ 1 1) into 1 1.683 * [taylor]: Taking taylor expansion of 1.0 in N 1.683 * [backup-simplify]: Simplify 1.0 into 1.0 1.683 * [backup-simplify]: Simplify (+ 1 0) into 1 1.684 * [backup-simplify]: Simplify (log 1) into 0 1.684 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.684 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.684 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.684 * [taylor]: Taking taylor expansion of N in N 1.684 * [backup-simplify]: Simplify 0 into 0 1.684 * [backup-simplify]: Simplify 1 into 1 1.684 * [backup-simplify]: Simplify (/ 1 1) into 1 1.684 * [taylor]: Taking taylor expansion of 1.0 in N 1.684 * [backup-simplify]: Simplify 1.0 into 1.0 1.684 * [backup-simplify]: Simplify (+ 1 0) into 1 1.684 * [backup-simplify]: Simplify (log 1) into 0 1.685 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.685 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 1.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.686 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.689 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 1.689 * [backup-simplify]: Simplify 1.0 into 1.0 1.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.690 * [backup-simplify]: Simplify (+ 0 0) into 0 1.696 * [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 1.696 * [backup-simplify]: Simplify -0.5 into -0.5 1.697 * [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)))) 1.697 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 1.697 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 1.697 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.697 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.697 * [taylor]: Taking taylor expansion of 1.0 in N 1.697 * [backup-simplify]: Simplify 1.0 into 1.0 1.697 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.697 * [taylor]: Taking taylor expansion of N in N 1.697 * [backup-simplify]: Simplify 0 into 0 1.697 * [backup-simplify]: Simplify 1 into 1 1.697 * [backup-simplify]: Simplify (/ 1 1) into 1 1.697 * [backup-simplify]: Simplify (- 1) into -1 1.698 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.698 * [backup-simplify]: Simplify (log -1) into (log -1) 1.698 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.698 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.698 * [taylor]: Taking taylor expansion of 1.0 in N 1.698 * [backup-simplify]: Simplify 1.0 into 1.0 1.698 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.698 * [taylor]: Taking taylor expansion of N in N 1.698 * [backup-simplify]: Simplify 0 into 0 1.698 * [backup-simplify]: Simplify 1 into 1 1.698 * [backup-simplify]: Simplify (/ 1 1) into 1 1.699 * [backup-simplify]: Simplify (- 1) into -1 1.699 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.699 * [backup-simplify]: Simplify (log -1) into (log -1) 1.700 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.700 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 1.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.701 * [backup-simplify]: Simplify (- 0) into 0 1.701 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.705 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 1.705 * [backup-simplify]: Simplify -1.0 into -1.0 1.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.706 * [backup-simplify]: Simplify (- 0) into 0 1.706 * [backup-simplify]: Simplify (+ 0 0) into 0 1.714 * [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 1.714 * [backup-simplify]: Simplify -0.5 into -0.5 1.715 * [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)))) 1.715 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.715 * [backup-simplify]: Simplify (* (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0)))) into (log (+ N 1.0)) 1.715 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 1.715 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.715 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.716 * [taylor]: Taking taylor expansion of N in N 1.716 * [backup-simplify]: Simplify 0 into 0 1.716 * [backup-simplify]: Simplify 1 into 1 1.716 * [taylor]: Taking taylor expansion of 1.0 in N 1.716 * [backup-simplify]: Simplify 1.0 into 1.0 1.716 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.717 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.717 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.717 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.717 * [taylor]: Taking taylor expansion of N in N 1.717 * [backup-simplify]: Simplify 0 into 0 1.717 * [backup-simplify]: Simplify 1 into 1 1.717 * [taylor]: Taking taylor expansion of 1.0 in N 1.717 * [backup-simplify]: Simplify 1.0 into 1.0 1.717 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.718 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.718 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.719 * [backup-simplify]: Simplify (+ 1 0) into 1 1.724 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 1.724 * [backup-simplify]: Simplify 1.0 into 1.0 1.725 * [backup-simplify]: Simplify (+ 0 0) into 0 1.735 * [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)) 1.737 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 1.738 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (log 1.0))) into (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) 1.739 * [backup-simplify]: Simplify (* (sqrt (log (+ (/ 1 N) 1.0))) (sqrt (log (+ (/ 1 N) 1.0)))) into (log (+ (/ 1 N) 1.0)) 1.739 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 1.739 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.739 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.739 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.739 * [taylor]: Taking taylor expansion of N in N 1.739 * [backup-simplify]: Simplify 0 into 0 1.739 * [backup-simplify]: Simplify 1 into 1 1.739 * [backup-simplify]: Simplify (/ 1 1) into 1 1.739 * [taylor]: Taking taylor expansion of 1.0 in N 1.739 * [backup-simplify]: Simplify 1.0 into 1.0 1.740 * [backup-simplify]: Simplify (+ 1 0) into 1 1.740 * [backup-simplify]: Simplify (log 1) into 0 1.740 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.740 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.740 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.740 * [taylor]: Taking taylor expansion of N in N 1.740 * [backup-simplify]: Simplify 0 into 0 1.741 * [backup-simplify]: Simplify 1 into 1 1.741 * [backup-simplify]: Simplify (/ 1 1) into 1 1.741 * [taylor]: Taking taylor expansion of 1.0 in N 1.741 * [backup-simplify]: Simplify 1.0 into 1.0 1.742 * [backup-simplify]: Simplify (+ 1 0) into 1 1.742 * [backup-simplify]: Simplify (log 1) into 0 1.743 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.743 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 1.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.744 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.754 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 1.754 * [backup-simplify]: Simplify 1.0 into 1.0 1.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.756 * [backup-simplify]: Simplify (+ 0 0) into 0 1.767 * [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 1.768 * [backup-simplify]: Simplify -0.5 into -0.5 1.768 * [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)))) 1.768 * [backup-simplify]: Simplify (* (sqrt (log (+ (/ 1 (- N)) 1.0))) (sqrt (log (+ (/ 1 (- N)) 1.0)))) into (log (- 1.0 (/ 1 N))) 1.768 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 1.769 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.769 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.769 * [taylor]: Taking taylor expansion of 1.0 in N 1.769 * [backup-simplify]: Simplify 1.0 into 1.0 1.769 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.769 * [taylor]: Taking taylor expansion of N in N 1.769 * [backup-simplify]: Simplify 0 into 0 1.769 * [backup-simplify]: Simplify 1 into 1 1.769 * [backup-simplify]: Simplify (/ 1 1) into 1 1.770 * [backup-simplify]: Simplify (- 1) into -1 1.770 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.770 * [backup-simplify]: Simplify (log -1) into (log -1) 1.770 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.770 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.770 * [taylor]: Taking taylor expansion of 1.0 in N 1.771 * [backup-simplify]: Simplify 1.0 into 1.0 1.771 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.771 * [taylor]: Taking taylor expansion of N in N 1.771 * [backup-simplify]: Simplify 0 into 0 1.771 * [backup-simplify]: Simplify 1 into 1 1.771 * [backup-simplify]: Simplify (/ 1 1) into 1 1.771 * [backup-simplify]: Simplify (- 1) into -1 1.772 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.772 * [backup-simplify]: Simplify (log -1) into (log -1) 1.773 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.774 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 1.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.775 * [backup-simplify]: Simplify (- 0) into 0 1.775 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.782 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 1.782 * [backup-simplify]: Simplify -1.0 into -1.0 1.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.784 * [backup-simplify]: Simplify (- 0) into 0 1.784 * [backup-simplify]: Simplify (+ 0 0) into 0 1.796 * [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 1.796 * [backup-simplify]: Simplify -0.5 into -0.5 1.797 * [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)))) 1.797 * * * [progress]: simplifying candidates 1.800 * [simplify]: Simplifying: (/ (exp (* (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))))) N) (log (- (* (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0)))) (log N))) (exp (- (* (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0)))) (log N))) (* (cbrt (- (* (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0)))) (log N))) (cbrt (- (* (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0)))) (log N)))) (cbrt (- (* (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0)))) (log N))) (* (* (- (* (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0)))) (log N)) (- (* (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0)))) (log N))) (- (* (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0)))) (log N))) (sqrt (- (* (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0)))) (log N))) (sqrt (- (* (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0)))) (log N))) (- (pow (* (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0)))) 3) (pow (log N) 3)) (+ (* (* (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0)))) (* (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))))) (+ (* (log N) (log N)) (* (* (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0)))) (log N)))) (- (log N)) (- (* (* (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0)))) (* (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))))) (* (log N) (log N))) (+ (* (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0)))) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (* (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0)))) (log (* (cbrt N) (cbrt N)))) (- (* (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0)))) (log (sqrt N))) (- (* (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0)))) (log 1)) (- (log N)) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (log (+ N 1.0)) (log (+ N 1.0))) (* (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0)))) (* (log (+ N 1.0)) (log (+ N 1.0))) (+ 1 1) (+ (log (sqrt (log (+ N 1.0)))) (log (sqrt (log (+ N 1.0))))) (log (* (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))))) (exp (* (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))))) (* (* (* (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0)))) (sqrt (log (+ N 1.0)))) (* (* (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0)))) (sqrt (log (+ N 1.0))))) (* (cbrt (* (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))))) (cbrt (* (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0)))))) (cbrt (* (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))))) (* (* (* (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0)))) (* (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))))) (* (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))))) (* (log (+ N 1.0)) (log (+ N 1.0))) (sqrt (* (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))))) (sqrt (* (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))))) (* (* (cbrt (sqrt (log (+ N 1.0)))) (cbrt (sqrt (log (+ N 1.0))))) (* (cbrt (sqrt (log (+ N 1.0)))) (cbrt (sqrt (log (+ N 1.0)))))) (* (cbrt (sqrt (log (+ N 1.0)))) (cbrt (sqrt (log (+ N 1.0))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0)))) (* (sqrt (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0))))) (sqrt (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))))) (* (sqrt (cbrt (log (+ N 1.0)))) (sqrt (cbrt (log (+ N 1.0))))) (* (sqrt (sqrt (log (+ N 1.0)))) (sqrt (sqrt (log (+ N 1.0))))) (* (sqrt (sqrt (log (+ N 1.0)))) (sqrt (sqrt (log (+ N 1.0))))) (* (sqrt (sqrt (log (+ N 1.0)))) (sqrt (sqrt (log (+ N 1.0))))) (* (sqrt (sqrt (log (+ N 1.0)))) (sqrt (sqrt (log (+ N 1.0))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0)))) (* (sqrt (sqrt (log (+ N 1.0)))) (sqrt (sqrt (log (+ N 1.0))))) (* (sqrt (sqrt (log (+ N 1.0)))) (sqrt (sqrt (log (+ N 1.0))))) (* (sqrt (sqrt (log (+ N 1.0)))) (sqrt (sqrt (log (+ N 1.0))))) (* (sqrt (sqrt (log (+ N 1.0)))) (sqrt (sqrt (log (+ N 1.0))))) (* 1 1) (* (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0)))) (* (sqrt (sqrt (log (+ N 1.0)))) (sqrt (sqrt (log (+ N 1.0))))) (* (sqrt (sqrt (log (+ N 1.0)))) (sqrt (sqrt (log (+ N 1.0))))) (* (sqrt (sqrt (log (+ N 1.0)))) (sqrt (sqrt (log (+ N 1.0))))) (* (sqrt (sqrt (log (+ N 1.0)))) (sqrt (sqrt (log (+ N 1.0))))) (* (sqrt (sqrt (log (+ N 1.0)))) (sqrt (sqrt (log (+ N 1.0))))) (* (sqrt (sqrt (log (+ N 1.0)))) (sqrt (sqrt (log (+ N 1.0))))) (* (sqrt (sqrt (log (+ N 1.0)))) (sqrt (sqrt (log (+ N 1.0))))) (* (sqrt (sqrt (log (+ N 1.0)))) (sqrt (sqrt (log (+ N 1.0))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (log (+ N 1.0))) (* (cbrt (sqrt (log (+ N 1.0)))) (cbrt (sqrt (log (+ N 1.0)))))) (* (sqrt (log (+ N 1.0))) (sqrt 1)) (* (sqrt (log (+ N 1.0))) (sqrt (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))))) (* (sqrt (log (+ N 1.0))) (sqrt (sqrt (log (+ N 1.0))))) (* (sqrt (log (+ N 1.0))) (sqrt 1)) (* (sqrt (log (+ N 1.0))) (sqrt (sqrt (log (+ N 1.0))))) (* (sqrt (log (+ N 1.0))) 1) (* (cbrt (sqrt (log (+ N 1.0)))) (sqrt (log (+ N 1.0)))) (* (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0)))) (* (sqrt (cbrt (log (+ N 1.0)))) (sqrt (log (+ N 1.0)))) (* (sqrt (sqrt (log (+ N 1.0)))) (sqrt (log (+ N 1.0)))) (* (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0)))) (* (sqrt (sqrt (log (+ N 1.0)))) (sqrt (log (+ N 1.0)))) (* (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 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 N) (log 1.0)) (* 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)))) (- (+ (* 1.0 N) (log 1.0)) (* 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)))) (- (+ (* 1.0 N) (log 1.0)) (* 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)))) 1.801 * [simplify]: Sending expressions to egg_math: (/ (exp (* (sqrt (log (+ h0 1.0))) (sqrt (log (+ h0 1.0))))) h0) (log (- (* (sqrt (log (+ h0 1.0))) (sqrt (log (+ h0 1.0)))) (log h0))) (exp (- (* (sqrt (log (+ h0 1.0))) (sqrt (log 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(log (+ h0 1.0))))) (* (sqrt (sqrt (log (+ h0 1.0)))) (sqrt (sqrt (log (+ h0 1.0))))) (* (sqrt (sqrt (log (+ h0 1.0)))) (sqrt (sqrt (log (+ h0 1.0))))) (* (sqrt (sqrt (log (+ h0 1.0)))) (sqrt (sqrt (log (+ h0 1.0))))) (* (sqrt (sqrt (log (+ h0 1.0)))) (sqrt (sqrt (log (+ h0 1.0))))) (* (sqrt (sqrt (log (+ h0 1.0)))) (sqrt (sqrt (log (+ h0 1.0))))) (* 2 h1) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (log (+ h0 1.0))) (* (cbrt (sqrt (log (+ h0 1.0)))) (cbrt (sqrt (log (+ h0 1.0)))))) (* (sqrt (log (+ h0 1.0))) (sqrt 1)) (* (sqrt (log (+ h0 1.0))) (sqrt (* (cbrt (log (+ h0 1.0))) (cbrt (log (+ h0 1.0)))))) (* (sqrt (log (+ h0 1.0))) (sqrt (sqrt (log (+ h0 1.0))))) (* (sqrt (log (+ h0 1.0))) (sqrt 1)) (* (sqrt (log (+ h0 1.0))) (sqrt (sqrt (log (+ h0 1.0))))) (* (sqrt (log (+ h0 1.0))) 1) (* (cbrt (sqrt (log (+ h0 1.0)))) (sqrt (log (+ h0 1.0)))) (* (sqrt (log (+ h0 1.0))) (sqrt (log (+ h0 1.0)))) (* (sqrt (cbrt (log (+ h0 1.0)))) (sqrt (log (+ h0 1.0)))) (* (sqrt (sqrt (log (+ h0 1.0)))) (sqrt (log (+ h0 1.0)))) (* (sqrt (log (+ h0 1.0))) (sqrt (log (+ h0 1.0)))) (* (sqrt (sqrt (log (+ h0 1.0)))) (sqrt (log (+ h0 1.0)))) (* (sqrt (log (+ h0 1.0))) (sqrt (log (+ h0 1.0)))) (- (+ (* 1.0 h0) (log 1.0)) (+ (* h1 (/ (pow h0 2) (pow 1.0 2))) (log h0))) (- (+ (* h3 (/ 1 (pow h0 3))) (* 1.0 (/ 1 h0))) (* h2 (/ 1 (pow h0 2)))) (- (+ (* h3 (/ 1 (pow h0 3))) (* 1.0 (/ 1 h0))) (* h2 (/ 1 (pow h0 2)))) (- (+ (* 1.0 h0) (log 1.0)) (* h1 (/ (pow h0 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 h0)) (+ (* h2 (/ 1 (pow h0 2))) (log (/ 1 h0)))) (- (+ (* 1.0 (/ 1 h0)) (log -1)) (+ (* h2 (/ 1 (pow h0 2))) (log (/ -1 h0)))) (- (+ (* 1.0 h0) (log 1.0)) (* h1 (/ (pow h0 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 h0)) (+ (* h2 (/ 1 (pow h0 2))) (log (/ 1 h0)))) (- (+ (* 1.0 (/ 1 h0)) (log -1)) (+ (* h2 (/ 1 (pow h0 2))) (log (/ -1 h0)))) (- (+ (* 1.0 h0) (log 1.0)) (* h1 (/ (pow h0 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 h0)) (+ (* h2 (/ 1 (pow h0 2))) (log (/ 1 h0)))) (- (+ (* 1.0 (/ 1 h0)) (log -1)) (+ (* h2 (/ 1 (pow h0 2))) (log (/ -1 h0)))) 2.508 * * * [progress]: adding candidates to table 2.796 * * [progress]: iteration 3 / 4 2.796 * * * [progress]: picking best candidate 2.798 * * * * [pick]: Picked # 2.799 * * * [progress]: localizing error 2.812 * * * [progress]: generating rewritten candidates 2.812 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 2.900 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2) 2.921 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 2.945 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 3.001 * * * [progress]: generating series expansions 3.001 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 3.002 * [backup-simplify]: Simplify (- (/ (/ 0.5 N) N) (* 0.3333333333333333 (/ 1 (pow N 3)))) into (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) 3.002 * [approximate]: Taking taylor expansion of (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) in (N) around 0 3.002 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) in N 3.002 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 3.002 * [taylor]: Taking taylor expansion of 0.5 in N 3.002 * [backup-simplify]: Simplify 0.5 into 0.5 3.002 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.002 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.002 * [taylor]: Taking taylor expansion of N in N 3.002 * [backup-simplify]: Simplify 0 into 0 3.002 * [backup-simplify]: Simplify 1 into 1 3.003 * [backup-simplify]: Simplify (* 1 1) into 1 3.004 * [backup-simplify]: Simplify (/ 1 1) into 1 3.004 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 3.004 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.004 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.004 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 3.004 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.004 * [taylor]: Taking taylor expansion of N in N 3.004 * [backup-simplify]: Simplify 0 into 0 3.004 * [backup-simplify]: Simplify 1 into 1 3.005 * [backup-simplify]: Simplify (* 1 1) into 1 3.005 * [backup-simplify]: Simplify (* 1 1) into 1 3.006 * [backup-simplify]: Simplify (/ 1 1) into 1 3.006 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) in N 3.006 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 3.006 * [taylor]: Taking taylor expansion of 0.5 in N 3.006 * [backup-simplify]: Simplify 0.5 into 0.5 3.006 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.006 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.006 * [taylor]: Taking taylor expansion of N in N 3.006 * [backup-simplify]: Simplify 0 into 0 3.006 * [backup-simplify]: Simplify 1 into 1 3.006 * [backup-simplify]: Simplify (* 1 1) into 1 3.007 * [backup-simplify]: Simplify (/ 1 1) into 1 3.007 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 3.007 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.007 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.007 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 3.007 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.007 * [taylor]: Taking taylor expansion of N in N 3.007 * [backup-simplify]: Simplify 0 into 0 3.007 * [backup-simplify]: Simplify 1 into 1 3.007 * [backup-simplify]: Simplify (* 1 1) into 1 3.008 * [backup-simplify]: Simplify (* 1 1) into 1 3.008 * [backup-simplify]: Simplify (/ 1 1) into 1 3.009 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 3.009 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 3.010 * [backup-simplify]: Simplify (+ 0 (- 0.3333333333333333)) into (- 0.3333333333333333) 3.011 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 3.011 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.012 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.013 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.015 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 3.015 * [backup-simplify]: Simplify (- 0) into 0 3.016 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 3.016 * [backup-simplify]: Simplify 0.5 into 0.5 3.016 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.018 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 3.019 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.020 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.022 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 3.022 * [backup-simplify]: Simplify (- 0) into 0 3.023 * [backup-simplify]: Simplify (+ 0 0) into 0 3.023 * [backup-simplify]: Simplify 0 into 0 3.024 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.026 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 3.027 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.031 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.031 * [backup-simplify]: Simplify (- 0) into 0 3.031 * [backup-simplify]: Simplify (+ 0 0) into 0 3.031 * [backup-simplify]: Simplify 0 into 0 3.033 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.035 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.036 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.037 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.040 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.040 * [backup-simplify]: Simplify (- 0) into 0 3.041 * [backup-simplify]: Simplify (+ 0 0) into 0 3.041 * [backup-simplify]: Simplify 0 into 0 3.042 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.045 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.049 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.052 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.052 * [backup-simplify]: Simplify (- 0) into 0 3.052 * [backup-simplify]: Simplify (+ 0 0) into 0 3.052 * [backup-simplify]: Simplify 0 into 0 3.054 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.056 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.060 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.062 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.063 * [backup-simplify]: Simplify (- 0) into 0 3.063 * [backup-simplify]: Simplify (+ 0 0) into 0 3.063 * [backup-simplify]: Simplify 0 into 0 3.065 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.067 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 3.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 3.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.074 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 3.075 * [backup-simplify]: Simplify (- 0) into 0 3.075 * [backup-simplify]: Simplify (+ 0 0) into 0 3.075 * [backup-simplify]: Simplify 0 into 0 3.076 * [backup-simplify]: Simplify (+ (* 0.5 (pow (/ 1 N) 2)) (* (- 0.3333333333333333) (pow (/ 1 N) 3))) into (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) 3.076 * [backup-simplify]: Simplify (- (/ (/ 0.5 (/ 1 N)) (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow (/ 1 N) 3)))) into (- (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))) 3.076 * [approximate]: Taking taylor expansion of (- (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))) in (N) around 0 3.076 * [taylor]: Taking taylor expansion of (- (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))) in N 3.077 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.077 * [taylor]: Taking taylor expansion of 0.5 in N 3.077 * [backup-simplify]: Simplify 0.5 into 0.5 3.077 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.077 * [taylor]: Taking taylor expansion of N in N 3.077 * [backup-simplify]: Simplify 0 into 0 3.077 * [backup-simplify]: Simplify 1 into 1 3.077 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.077 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.077 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.077 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.077 * [taylor]: Taking taylor expansion of N in N 3.077 * [backup-simplify]: Simplify 0 into 0 3.077 * [backup-simplify]: Simplify 1 into 1 3.077 * [taylor]: Taking taylor expansion of (- (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))) in N 3.077 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.077 * [taylor]: Taking taylor expansion of 0.5 in N 3.077 * [backup-simplify]: Simplify 0.5 into 0.5 3.077 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.077 * [taylor]: Taking taylor expansion of N in N 3.077 * [backup-simplify]: Simplify 0 into 0 3.077 * [backup-simplify]: Simplify 1 into 1 3.077 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.077 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.077 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.077 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.077 * [taylor]: Taking taylor expansion of N in N 3.077 * [backup-simplify]: Simplify 0 into 0 3.077 * [backup-simplify]: Simplify 1 into 1 3.078 * [backup-simplify]: Simplify (* 1 1) into 1 3.078 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.079 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 3.079 * [backup-simplify]: Simplify 0.5 into 0.5 3.079 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.080 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 3.080 * [backup-simplify]: Simplify (* 1 1) into 1 3.080 * [backup-simplify]: Simplify (* 1 1) into 1 3.080 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 3.080 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 3.081 * [backup-simplify]: Simplify (+ 0 (- 0.3333333333333333)) into (- 0.3333333333333333) 3.081 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 3.082 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.082 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 3.083 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.083 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.084 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 3.084 * [backup-simplify]: Simplify (- 0) into 0 3.084 * [backup-simplify]: Simplify (+ 0 0) into 0 3.084 * [backup-simplify]: Simplify 0 into 0 3.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.085 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.087 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 3.087 * [backup-simplify]: Simplify (- 0) into 0 3.087 * [backup-simplify]: Simplify (+ 0 0) into 0 3.087 * [backup-simplify]: Simplify 0 into 0 3.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.089 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.090 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.091 * [backup-simplify]: Simplify (- 0) into 0 3.091 * [backup-simplify]: Simplify (+ 0 0) into 0 3.091 * [backup-simplify]: Simplify 0 into 0 3.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.092 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.095 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.095 * [backup-simplify]: Simplify (- 0) into 0 3.095 * [backup-simplify]: Simplify (+ 0 0) into 0 3.095 * [backup-simplify]: Simplify 0 into 0 3.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.097 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.100 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.100 * [backup-simplify]: Simplify (- 0) into 0 3.101 * [backup-simplify]: Simplify (+ 0 0) into 0 3.101 * [backup-simplify]: Simplify 0 into 0 3.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 3.104 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 3.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.109 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.110 * [backup-simplify]: Simplify (- 0) into 0 3.110 * [backup-simplify]: Simplify (+ 0 0) into 0 3.110 * [backup-simplify]: Simplify 0 into 0 3.111 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 N) 3)) (* 0.5 (pow (/ 1 N) 2))) into (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) 3.111 * [backup-simplify]: Simplify (- (/ (/ 0.5 (/ 1 (- N))) (/ 1 (- N))) (* 0.3333333333333333 (/ 1 (pow (/ 1 (- N)) 3)))) into (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))) 3.111 * [approximate]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))) in (N) around 0 3.111 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))) in N 3.111 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.111 * [taylor]: Taking taylor expansion of 0.5 in N 3.111 * [backup-simplify]: Simplify 0.5 into 0.5 3.111 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.111 * [taylor]: Taking taylor expansion of N in N 3.111 * [backup-simplify]: Simplify 0 into 0 3.111 * [backup-simplify]: Simplify 1 into 1 3.111 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.111 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.111 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.111 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.111 * [taylor]: Taking taylor expansion of N in N 3.111 * [backup-simplify]: Simplify 0 into 0 3.111 * [backup-simplify]: Simplify 1 into 1 3.111 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))) in N 3.111 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.111 * [taylor]: Taking taylor expansion of 0.5 in N 3.111 * [backup-simplify]: Simplify 0.5 into 0.5 3.111 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.111 * [taylor]: Taking taylor expansion of N in N 3.111 * [backup-simplify]: Simplify 0 into 0 3.111 * [backup-simplify]: Simplify 1 into 1 3.111 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.111 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.111 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.112 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.112 * [taylor]: Taking taylor expansion of N in N 3.112 * [backup-simplify]: Simplify 0 into 0 3.112 * [backup-simplify]: Simplify 1 into 1 3.112 * [backup-simplify]: Simplify (* 1 1) into 1 3.112 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.112 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 3.112 * [backup-simplify]: Simplify 0.5 into 0.5 3.113 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.113 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 3.113 * [backup-simplify]: Simplify (* 1 1) into 1 3.114 * [backup-simplify]: Simplify (* 1 1) into 1 3.114 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 3.114 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 3.114 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.115 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 3.116 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.116 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.117 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 3.117 * [backup-simplify]: Simplify (+ 0 0) into 0 3.117 * [backup-simplify]: Simplify 0 into 0 3.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.118 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.119 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.119 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.120 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 3.120 * [backup-simplify]: Simplify (+ 0 0) into 0 3.120 * [backup-simplify]: Simplify 0 into 0 3.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.121 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.123 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.123 * [backup-simplify]: Simplify (+ 0 0) into 0 3.123 * [backup-simplify]: Simplify 0 into 0 3.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.125 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.127 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.130 * [backup-simplify]: Simplify (+ 0 0) into 0 3.130 * [backup-simplify]: Simplify 0 into 0 3.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.132 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.134 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.134 * [backup-simplify]: Simplify (+ 0 0) into 0 3.134 * [backup-simplify]: Simplify 0 into 0 3.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 3.136 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 3.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.139 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.139 * [backup-simplify]: Simplify (+ 0 0) into 0 3.139 * [backup-simplify]: Simplify 0 into 0 3.139 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 (- N)) 3)) (* 0.5 (pow (/ 1 (- N)) 2))) into (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) 3.139 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2) 3.140 * [backup-simplify]: Simplify (/ 1 (pow N 3)) into (/ 1 (pow N 3)) 3.140 * [approximate]: Taking taylor expansion of (/ 1 (pow N 3)) in (N) around 0 3.140 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 3.140 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.140 * [taylor]: Taking taylor expansion of N in N 3.140 * [backup-simplify]: Simplify 0 into 0 3.140 * [backup-simplify]: Simplify 1 into 1 3.140 * [backup-simplify]: Simplify (* 1 1) into 1 3.140 * [backup-simplify]: Simplify (* 1 1) into 1 3.140 * [backup-simplify]: Simplify (/ 1 1) into 1 3.140 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 3.140 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.140 * [taylor]: Taking taylor expansion of N in N 3.140 * [backup-simplify]: Simplify 0 into 0 3.141 * [backup-simplify]: Simplify 1 into 1 3.141 * [backup-simplify]: Simplify (* 1 1) into 1 3.141 * [backup-simplify]: Simplify (* 1 1) into 1 3.141 * [backup-simplify]: Simplify (/ 1 1) into 1 3.141 * [backup-simplify]: Simplify 1 into 1 3.142 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.142 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.142 * [backup-simplify]: Simplify 0 into 0 3.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.144 * [backup-simplify]: Simplify 0 into 0 3.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.146 * [backup-simplify]: Simplify 0 into 0 3.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.147 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.148 * [backup-simplify]: Simplify 0 into 0 3.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.150 * [backup-simplify]: Simplify 0 into 0 3.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.152 * [backup-simplify]: Simplify 0 into 0 3.152 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 3)) into (/ 1 (pow N 3)) 3.152 * [backup-simplify]: Simplify (/ 1 (pow (/ 1 N) 3)) into (pow N 3) 3.152 * [approximate]: Taking taylor expansion of (pow N 3) in (N) around 0 3.152 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.152 * [taylor]: Taking taylor expansion of N in N 3.152 * [backup-simplify]: Simplify 0 into 0 3.152 * [backup-simplify]: Simplify 1 into 1 3.152 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.152 * [taylor]: Taking taylor expansion of N in N 3.152 * [backup-simplify]: Simplify 0 into 0 3.152 * [backup-simplify]: Simplify 1 into 1 3.153 * [backup-simplify]: Simplify (* 1 1) into 1 3.153 * [backup-simplify]: Simplify (* 1 1) into 1 3.153 * [backup-simplify]: Simplify 1 into 1 3.153 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.154 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.154 * [backup-simplify]: Simplify 0 into 0 3.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.155 * [backup-simplify]: Simplify 0 into 0 3.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.156 * [backup-simplify]: Simplify 0 into 0 3.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.157 * [backup-simplify]: Simplify 0 into 0 3.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.159 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.159 * [backup-simplify]: Simplify 0 into 0 3.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.160 * [backup-simplify]: Simplify 0 into 0 3.161 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 3)) into (/ 1 (pow N 3)) 3.161 * [backup-simplify]: Simplify (/ 1 (pow (/ 1 (- N)) 3)) into (* -1 (pow N 3)) 3.161 * [approximate]: Taking taylor expansion of (* -1 (pow N 3)) in (N) around 0 3.161 * [taylor]: Taking taylor expansion of (* -1 (pow N 3)) in N 3.161 * [taylor]: Taking taylor expansion of -1 in N 3.161 * [backup-simplify]: Simplify -1 into -1 3.161 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.161 * [taylor]: Taking taylor expansion of N in N 3.161 * [backup-simplify]: Simplify 0 into 0 3.161 * [backup-simplify]: Simplify 1 into 1 3.161 * [taylor]: Taking taylor expansion of (* -1 (pow N 3)) in N 3.161 * [taylor]: Taking taylor expansion of -1 in N 3.161 * [backup-simplify]: Simplify -1 into -1 3.161 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.161 * [taylor]: Taking taylor expansion of N in N 3.161 * [backup-simplify]: Simplify 0 into 0 3.161 * [backup-simplify]: Simplify 1 into 1 3.161 * [backup-simplify]: Simplify (* 1 1) into 1 3.162 * [backup-simplify]: Simplify (* 1 1) into 1 3.162 * [backup-simplify]: Simplify (* -1 1) into -1 3.162 * [backup-simplify]: Simplify -1 into -1 3.162 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.163 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.163 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0 3.164 * [backup-simplify]: Simplify 0 into 0 3.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.166 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1))) into 0 3.166 * [backup-simplify]: Simplify 0 into 0 3.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.170 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.170 * [backup-simplify]: Simplify 0 into 0 3.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.172 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.174 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.174 * [backup-simplify]: Simplify 0 into 0 3.175 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.178 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.178 * [backup-simplify]: Simplify 0 into 0 3.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.183 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.183 * [backup-simplify]: Simplify 0 into 0 3.184 * [backup-simplify]: Simplify (* -1 (pow (/ 1 (- N)) 3)) into (/ 1 (pow N 3)) 3.184 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 3.184 * [backup-simplify]: Simplify (/ (/ 0.5 N) N) into (/ 0.5 (pow N 2)) 3.184 * [approximate]: Taking taylor expansion of (/ 0.5 (pow N 2)) in (N) around 0 3.184 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 3.184 * [taylor]: Taking taylor expansion of 0.5 in N 3.184 * [backup-simplify]: Simplify 0.5 into 0.5 3.184 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.184 * [taylor]: Taking taylor expansion of N in N 3.184 * [backup-simplify]: Simplify 0 into 0 3.184 * [backup-simplify]: Simplify 1 into 1 3.185 * [backup-simplify]: Simplify (* 1 1) into 1 3.185 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 3.185 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 3.185 * [taylor]: Taking taylor expansion of 0.5 in N 3.185 * [backup-simplify]: Simplify 0.5 into 0.5 3.185 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.185 * [taylor]: Taking taylor expansion of N in N 3.185 * [backup-simplify]: Simplify 0 into 0 3.185 * [backup-simplify]: Simplify 1 into 1 3.186 * [backup-simplify]: Simplify (* 1 1) into 1 3.186 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 3.186 * [backup-simplify]: Simplify 0.5 into 0.5 3.187 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.188 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0 3.188 * [backup-simplify]: Simplify 0 into 0 3.189 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.190 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.190 * [backup-simplify]: Simplify 0 into 0 3.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.193 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.193 * [backup-simplify]: Simplify 0 into 0 3.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.195 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.195 * [backup-simplify]: Simplify 0 into 0 3.197 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.198 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.198 * [backup-simplify]: Simplify 0 into 0 3.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.201 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.201 * [backup-simplify]: Simplify 0 into 0 3.201 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 N) 2)) into (/ 0.5 (pow N 2)) 3.201 * [backup-simplify]: Simplify (/ (/ 0.5 (/ 1 N)) (/ 1 N)) into (* 0.5 (pow N 2)) 3.202 * [approximate]: Taking taylor expansion of (* 0.5 (pow N 2)) in (N) around 0 3.202 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.202 * [taylor]: Taking taylor expansion of 0.5 in N 3.202 * [backup-simplify]: Simplify 0.5 into 0.5 3.202 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.202 * [taylor]: Taking taylor expansion of N in N 3.202 * [backup-simplify]: Simplify 0 into 0 3.202 * [backup-simplify]: Simplify 1 into 1 3.202 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.202 * [taylor]: Taking taylor expansion of 0.5 in N 3.202 * [backup-simplify]: Simplify 0.5 into 0.5 3.202 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.202 * [taylor]: Taking taylor expansion of N in N 3.202 * [backup-simplify]: Simplify 0 into 0 3.202 * [backup-simplify]: Simplify 1 into 1 3.203 * [backup-simplify]: Simplify (* 1 1) into 1 3.203 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.203 * [backup-simplify]: Simplify 0.5 into 0.5 3.204 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.205 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 3.205 * [backup-simplify]: Simplify 0 into 0 3.206 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.207 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 3.207 * [backup-simplify]: Simplify 0 into 0 3.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.209 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.209 * [backup-simplify]: Simplify 0 into 0 3.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.212 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.212 * [backup-simplify]: Simplify 0 into 0 3.213 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.215 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.215 * [backup-simplify]: Simplify 0 into 0 3.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.219 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.219 * [backup-simplify]: Simplify 0 into 0 3.219 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 N) 2)) into (/ 0.5 (pow N 2)) 3.219 * [backup-simplify]: Simplify (/ (/ 0.5 (/ 1 (- N))) (/ 1 (- N))) into (* 0.5 (pow N 2)) 3.219 * [approximate]: Taking taylor expansion of (* 0.5 (pow N 2)) in (N) around 0 3.219 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.219 * [taylor]: Taking taylor expansion of 0.5 in N 3.219 * [backup-simplify]: Simplify 0.5 into 0.5 3.219 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.219 * [taylor]: Taking taylor expansion of N in N 3.219 * [backup-simplify]: Simplify 0 into 0 3.219 * [backup-simplify]: Simplify 1 into 1 3.219 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.219 * [taylor]: Taking taylor expansion of 0.5 in N 3.220 * [backup-simplify]: Simplify 0.5 into 0.5 3.220 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.220 * [taylor]: Taking taylor expansion of N in N 3.220 * [backup-simplify]: Simplify 0 into 0 3.220 * [backup-simplify]: Simplify 1 into 1 3.220 * [backup-simplify]: Simplify (* 1 1) into 1 3.221 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.221 * [backup-simplify]: Simplify 0.5 into 0.5 3.221 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.222 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 3.222 * [backup-simplify]: Simplify 0 into 0 3.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.224 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 3.224 * [backup-simplify]: Simplify 0 into 0 3.225 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.226 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.226 * [backup-simplify]: Simplify 0 into 0 3.228 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.229 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.229 * [backup-simplify]: Simplify 0 into 0 3.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.232 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.232 * [backup-simplify]: Simplify 0 into 0 3.233 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.236 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.236 * [backup-simplify]: Simplify 0 into 0 3.236 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 (- N)) 2)) into (/ 0.5 (pow N 2)) 3.236 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 3.237 * [backup-simplify]: Simplify (* 0.3333333333333333 (/ 1 (pow N 3))) into (/ 0.3333333333333333 (pow N 3)) 3.237 * [approximate]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in (N) around 0 3.237 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 3.237 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.237 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.237 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.237 * [taylor]: Taking taylor expansion of N in N 3.237 * [backup-simplify]: Simplify 0 into 0 3.237 * [backup-simplify]: Simplify 1 into 1 3.237 * [backup-simplify]: Simplify (* 1 1) into 1 3.238 * [backup-simplify]: Simplify (* 1 1) into 1 3.238 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 3.238 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 3.239 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.239 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.239 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.239 * [taylor]: Taking taylor expansion of N in N 3.239 * [backup-simplify]: Simplify 0 into 0 3.239 * [backup-simplify]: Simplify 1 into 1 3.239 * [backup-simplify]: Simplify (* 1 1) into 1 3.240 * [backup-simplify]: Simplify (* 1 1) into 1 3.240 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 3.240 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.241 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.242 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.243 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)))) into 0 3.243 * [backup-simplify]: Simplify 0 into 0 3.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.244 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.244 * [backup-simplify]: Simplify 0 into 0 3.245 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.246 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.246 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.246 * [backup-simplify]: Simplify 0 into 0 3.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.248 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.248 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.248 * [backup-simplify]: Simplify 0 into 0 3.249 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.250 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.251 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.251 * [backup-simplify]: Simplify 0 into 0 3.252 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.258 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.258 * [backup-simplify]: Simplify 0 into 0 3.259 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 3.259 * [backup-simplify]: Simplify (* 0.3333333333333333 (/ 1 (pow (/ 1 N) 3))) into (* 0.3333333333333333 (pow N 3)) 3.259 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in (N) around 0 3.259 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.259 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.259 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.259 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.259 * [taylor]: Taking taylor expansion of N in N 3.259 * [backup-simplify]: Simplify 0 into 0 3.259 * [backup-simplify]: Simplify 1 into 1 3.259 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.259 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.259 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.259 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.259 * [taylor]: Taking taylor expansion of N in N 3.259 * [backup-simplify]: Simplify 0 into 0 3.259 * [backup-simplify]: Simplify 1 into 1 3.260 * [backup-simplify]: Simplify (* 1 1) into 1 3.260 * [backup-simplify]: Simplify (* 1 1) into 1 3.261 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 3.261 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.261 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.262 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.263 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 3.263 * [backup-simplify]: Simplify 0 into 0 3.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.265 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.266 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 3.266 * [backup-simplify]: Simplify 0 into 0 3.267 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.268 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.269 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.269 * [backup-simplify]: Simplify 0 into 0 3.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.271 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.272 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.272 * [backup-simplify]: Simplify 0 into 0 3.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.274 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.274 * [backup-simplify]: Simplify 0 into 0 3.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.277 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.277 * [backup-simplify]: Simplify 0 into 0 3.277 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 3.277 * [backup-simplify]: Simplify (* 0.3333333333333333 (/ 1 (pow (/ 1 (- N)) 3))) into (* -0.3333333333333333 (pow N 3)) 3.277 * [approximate]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in (N) around 0 3.277 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 3.277 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 3.277 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 3.277 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.277 * [taylor]: Taking taylor expansion of N in N 3.277 * [backup-simplify]: Simplify 0 into 0 3.277 * [backup-simplify]: Simplify 1 into 1 3.277 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 3.277 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 3.277 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 3.277 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.277 * [taylor]: Taking taylor expansion of N in N 3.277 * [backup-simplify]: Simplify 0 into 0 3.277 * [backup-simplify]: Simplify 1 into 1 3.278 * [backup-simplify]: Simplify (* 1 1) into 1 3.278 * [backup-simplify]: Simplify (* 1 1) into 1 3.278 * [backup-simplify]: Simplify (* -0.3333333333333333 1) into -0.3333333333333333 3.278 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 3.279 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.279 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.279 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (* 0 1)) into 0 3.279 * [backup-simplify]: Simplify 0 into 0 3.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.281 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 3.281 * [backup-simplify]: Simplify 0 into 0 3.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.283 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.283 * [backup-simplify]: Simplify 0 into 0 3.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.285 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.285 * [backup-simplify]: Simplify 0 into 0 3.286 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.287 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.287 * [backup-simplify]: Simplify 0 into 0 3.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.290 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.290 * [backup-simplify]: Simplify 0 into 0 3.290 * [backup-simplify]: Simplify (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) into (/ 0.3333333333333333 (pow N 3)) 3.290 * * * [progress]: simplifying candidates 3.294 * [simplify]: Simplifying: (/ (exp (/ (/ 0.5 N) N)) (exp (* 0.3333333333333333 (/ 1 (pow N 3))))) (log (- (/ (/ 0.5 N) N) (* 0.3333333333333333 (/ 1 (pow N 3))))) (exp (- (/ (/ 0.5 N) N) (* 0.3333333333333333 (/ 1 (pow N 3))))) (* (cbrt (- (/ (/ 0.5 N) N) (* 0.3333333333333333 (/ 1 (pow N 3))))) (cbrt (- (/ (/ 0.5 N) N) (* 0.3333333333333333 (/ 1 (pow N 3)))))) (cbrt (- (/ (/ 0.5 N) N) (* 0.3333333333333333 (/ 1 (pow N 3))))) (* (* (- (/ (/ 0.5 N) N) (* 0.3333333333333333 (/ 1 (pow N 3)))) (- (/ (/ 0.5 N) N) (* 0.3333333333333333 (/ 1 (pow N 3))))) (- (/ (/ 0.5 N) N) (* 0.3333333333333333 (/ 1 (pow N 3))))) (sqrt (- (/ (/ 0.5 N) N) (* 0.3333333333333333 (/ 1 (pow N 3))))) (sqrt (- (/ (/ 0.5 N) N) (* 0.3333333333333333 (/ 1 (pow N 3))))) (- (* (/ 0.5 N) (pow N 3)) (* N 0.3333333333333333)) (* N (pow N 3)) (- (* (/ 0.5 N) (pow N 3)) (* N (* 0.3333333333333333 1))) (* N (pow N 3)) (- (pow (/ (/ 0.5 N) N) 3) (pow (* 0.3333333333333333 (/ 1 (pow N 3))) 3)) (+ (* (/ (/ 0.5 N) N) (/ (/ 0.5 N) N)) (+ (* (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* (/ (/ 0.5 N) N) (* 0.3333333333333333 (/ 1 (pow N 3)))))) (- (* 0.3333333333333333 (/ 1 (pow N 3)))) (- (* (/ (/ 0.5 N) N) (/ (/ 0.5 N) N)) (* (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.3333333333333333 (/ 1 (pow N 3))))) (+ (/ (/ 0.5 N) N) (* 0.3333333333333333 (/ 1 (pow N 3)))) (- (* 0.3333333333333333 (/ 1 (pow N 3)))) (- 3) (- (* (log N) 3)) (- (* (log N) 3)) (- (log (pow N 3))) (- 0 (* (log N) 3)) (- 0 (* (log N) 3)) (- 0 (log (pow N 3))) (- (log 1) (* (log N) 3)) (- (log 1) (* (log N) 3)) (- (log 1) (log (pow N 3))) (log (/ 1 (pow N 3))) (exp (/ 1 (pow N 3))) (/ (* (* 1 1) 1) (* (* (pow N 3) (pow N 3)) (pow N 3))) (* (cbrt (/ 1 (pow N 3))) (cbrt (/ 1 (pow N 3)))) (cbrt (/ 1 (pow N 3))) (* (* (/ 1 (pow N 3)) (/ 1 (pow N 3))) (/ 1 (pow N 3))) (sqrt (/ 1 (pow N 3))) (sqrt (/ 1 (pow N 3))) (- 1) (- (pow N 3)) (/ (* (cbrt 1) (cbrt 1)) (pow (* (cbrt N) (cbrt N)) 3)) (/ (cbrt 1) (pow (cbrt N) 3)) (/ (* (cbrt 1) (cbrt 1)) (pow (sqrt N) 3)) (/ (cbrt 1) (pow (sqrt N) 3)) (/ (* (cbrt 1) (cbrt 1)) (pow 1 3)) (/ (cbrt 1) (pow N 3)) (/ (* (cbrt 1) (cbrt 1)) (* N N)) (/ (cbrt 1) N) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ (cbrt 1) (cbrt (pow N 3))) (/ (* (cbrt 1) (cbrt 1)) (pow (* (cbrt N) (cbrt N)) 3)) (/ (cbrt 1) (pow (cbrt N) 3)) (/ (* (cbrt 1) (cbrt 1)) (pow (sqrt N) 3)) (/ (cbrt 1) (pow (sqrt N) 3)) (/ (* (cbrt 1) (cbrt 1)) (pow 1 3)) (/ (cbrt 1) (pow N 3)) (/ (* (cbrt 1) (cbrt 1)) N) (/ (cbrt 1) (* N N)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow N 3))) (/ (cbrt 1) (sqrt (pow N 3))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (pow N 3)) (/ (* (cbrt 1) (cbrt 1)) (pow N (/ 3 2))) (/ (cbrt 1) (pow N (/ 3 2))) (/ (sqrt 1) (pow (* (cbrt N) (cbrt N)) 3)) (/ (sqrt 1) (pow (cbrt N) 3)) (/ (sqrt 1) (pow (sqrt N) 3)) (/ (sqrt 1) (pow (sqrt N) 3)) (/ (sqrt 1) (pow 1 3)) (/ (sqrt 1) (pow N 3)) (/ (sqrt 1) (* N N)) (/ (sqrt 1) N) (/ (sqrt 1) (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ (sqrt 1) (cbrt (pow N 3))) (/ (sqrt 1) (pow (* (cbrt N) (cbrt N)) 3)) (/ (sqrt 1) (pow (cbrt N) 3)) (/ (sqrt 1) (pow (sqrt N) 3)) (/ (sqrt 1) (pow (sqrt N) 3)) (/ (sqrt 1) (pow 1 3)) (/ (sqrt 1) (pow N 3)) (/ (sqrt 1) N) (/ (sqrt 1) (* N N)) (/ (sqrt 1) (sqrt (pow N 3))) (/ (sqrt 1) (sqrt (pow N 3))) (/ (sqrt 1) 1) (/ (sqrt 1) (pow N 3)) (/ (sqrt 1) (pow N (/ 3 2))) (/ (sqrt 1) (pow N (/ 3 2))) (/ 1 (pow (* (cbrt N) (cbrt N)) 3)) (/ 1 (pow (cbrt N) 3)) (/ 1 (pow (sqrt N) 3)) (/ 1 (pow (sqrt N) 3)) (/ 1 (pow 1 3)) (/ 1 (pow N 3)) (/ 1 (* N N)) (/ 1 N) (/ 1 (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ 1 (cbrt (pow N 3))) (/ 1 (pow (* (cbrt N) (cbrt N)) 3)) (/ 1 (pow (cbrt N) 3)) (/ 1 (pow (sqrt N) 3)) (/ 1 (pow (sqrt N) 3)) (/ 1 (pow 1 3)) (/ 1 (pow N 3)) (/ 1 N) (/ 1 (* N N)) (/ 1 (sqrt (pow N 3))) (/ 1 (sqrt (pow N 3))) (/ 1 1) (/ 1 (pow N 3)) (/ 1 (pow N (/ 3 2))) (/ 1 (pow N (/ 3 2))) (/ 1 (pow N 3)) (/ (pow N 3) 1) (/ 1 (pow (* (cbrt N) (cbrt N)) 3)) (/ 1 (pow (sqrt N) 3)) (/ 1 (pow 1 3)) (/ 1 (* N N)) (/ 1 (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ 1 (pow (* (cbrt N) (cbrt N)) 3)) (/ 1 (pow (sqrt N) 3)) (/ 1 (pow 1 3)) (/ 1 N) (/ 1 (sqrt (pow N 3))) (/ 1 1) (/ 1 (pow N (/ 3 2))) (/ (pow N 3) (cbrt 1)) (/ (pow N 3) (sqrt 1)) (/ (pow N 3) 1) (- (- (log 0.5) (log N)) (log N)) (- (log (/ 0.5 N)) (log N)) (log (/ (/ 0.5 N) N)) (exp (/ (/ 0.5 N) N)) (/ (/ (* (* 0.5 0.5) 0.5) (* (* N N) N)) (* (* N N) N)) (/ (* (* (/ 0.5 N) (/ 0.5 N)) (/ 0.5 N)) (* (* N N) N)) (* (cbrt (/ (/ 0.5 N) N)) (cbrt (/ (/ 0.5 N) N))) (cbrt (/ (/ 0.5 N) N)) (* (* (/ (/ 0.5 N) N) (/ (/ 0.5 N) N)) (/ (/ 0.5 N) N)) (sqrt (/ (/ 0.5 N) N)) (sqrt (/ (/ 0.5 N) N)) (- (/ 0.5 N)) (- N) (/ (* (cbrt (/ 0.5 N)) (cbrt (/ 0.5 N))) (* (cbrt N) (cbrt N))) (/ (cbrt (/ 0.5 N)) (cbrt N)) (/ (* (cbrt (/ 0.5 N)) (cbrt (/ 0.5 N))) (sqrt N)) (/ (cbrt (/ 0.5 N)) (sqrt N)) (/ (* (cbrt (/ 0.5 N)) (cbrt (/ 0.5 N))) 1) (/ (cbrt (/ 0.5 N)) N) (/ (sqrt (/ 0.5 N)) (* (cbrt N) (cbrt N))) (/ (sqrt (/ 0.5 N)) (cbrt N)) (/ (sqrt (/ 0.5 N)) (sqrt N)) (/ (sqrt (/ 0.5 N)) (sqrt N)) (/ (sqrt (/ 0.5 N)) 1) (/ (sqrt (/ 0.5 N)) N) (/ (/ (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt N) (cbrt N))) (* (cbrt N) (cbrt N))) (/ (/ (cbrt 0.5) (cbrt N)) (cbrt N)) (/ (/ (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt N) (cbrt N))) (sqrt N)) (/ (/ (cbrt 0.5) (cbrt N)) (sqrt N)) (/ (/ (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt N) (cbrt N))) 1) (/ (/ (cbrt 0.5) (cbrt N)) N) (/ (/ (* (cbrt 0.5) (cbrt 0.5)) (sqrt N)) (* (cbrt N) (cbrt N))) (/ (/ (cbrt 0.5) (sqrt N)) (cbrt N)) (/ (/ (* (cbrt 0.5) (cbrt 0.5)) (sqrt N)) (sqrt N)) (/ (/ (cbrt 0.5) (sqrt N)) (sqrt N)) (/ (/ (* (cbrt 0.5) (cbrt 0.5)) (sqrt N)) 1) (/ (/ (cbrt 0.5) (sqrt N)) N) (/ (/ (* (cbrt 0.5) (cbrt 0.5)) 1) (* (cbrt N) (cbrt N))) (/ (/ (cbrt 0.5) N) (cbrt N)) (/ (/ (* (cbrt 0.5) (cbrt 0.5)) 1) (sqrt N)) (/ (/ (cbrt 0.5) N) (sqrt N)) (/ (/ (* (cbrt 0.5) (cbrt 0.5)) 1) 1) (/ (/ (cbrt 0.5) N) N) (/ (/ (sqrt 0.5) (* (cbrt N) (cbrt N))) (* (cbrt N) (cbrt N))) (/ (/ (sqrt 0.5) (cbrt N)) (cbrt N)) (/ (/ (sqrt 0.5) (* (cbrt N) (cbrt N))) (sqrt N)) (/ (/ (sqrt 0.5) (cbrt N)) (sqrt N)) (/ (/ (sqrt 0.5) (* (cbrt N) (cbrt N))) 1) (/ (/ (sqrt 0.5) (cbrt N)) N) (/ (/ (sqrt 0.5) (sqrt N)) (* (cbrt N) (cbrt N))) (/ (/ (sqrt 0.5) (sqrt N)) (cbrt N)) (/ (/ (sqrt 0.5) (sqrt N)) (sqrt N)) (/ (/ (sqrt 0.5) (sqrt N)) (sqrt N)) (/ (/ (sqrt 0.5) (sqrt N)) 1) (/ (/ (sqrt 0.5) (sqrt N)) N) (/ (/ (sqrt 0.5) 1) (* (cbrt N) (cbrt N))) (/ (/ (sqrt 0.5) N) (cbrt N)) (/ (/ (sqrt 0.5) 1) (sqrt N)) (/ (/ (sqrt 0.5) N) (sqrt N)) (/ (/ (sqrt 0.5) 1) 1) (/ (/ (sqrt 0.5) N) N) (/ (/ 1 (* (cbrt N) (cbrt N))) (* (cbrt N) (cbrt N))) (/ (/ 0.5 (cbrt N)) (cbrt N)) (/ (/ 1 (* (cbrt N) (cbrt N))) (sqrt N)) (/ (/ 0.5 (cbrt N)) (sqrt N)) (/ (/ 1 (* (cbrt N) (cbrt N))) 1) (/ (/ 0.5 (cbrt N)) N) (/ (/ 1 (sqrt N)) (* (cbrt N) (cbrt N))) (/ (/ 0.5 (sqrt N)) (cbrt N)) (/ (/ 1 (sqrt N)) (sqrt N)) (/ (/ 0.5 (sqrt N)) (sqrt N)) (/ (/ 1 (sqrt N)) 1) (/ (/ 0.5 (sqrt N)) N) (/ (/ 1 1) (* (cbrt N) (cbrt N))) (/ (/ 0.5 N) (cbrt N)) (/ (/ 1 1) (sqrt N)) (/ (/ 0.5 N) (sqrt N)) (/ (/ 1 1) 1) (/ (/ 0.5 N) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (/ 0.5 N) (cbrt N)) (/ 1 (sqrt N)) (/ (/ 0.5 N) (sqrt N)) (/ 1 1) (/ (/ 0.5 N) N) (/ 0.5 (* (cbrt N) (cbrt N))) (/ (/ 1 N) (cbrt N)) (/ 0.5 (sqrt N)) (/ (/ 1 N) (sqrt N)) (/ 0.5 1) (/ (/ 1 N) N) (/ 1 N) (/ N (/ 0.5 N)) (/ (/ 0.5 N) (* (cbrt N) (cbrt N))) (/ (/ 0.5 N) (sqrt N)) (/ (/ 0.5 N) 1) (/ N (cbrt (/ 0.5 N))) (/ N (sqrt (/ 0.5 N))) (/ N (/ (cbrt 0.5) (cbrt N))) (/ N (/ (cbrt 0.5) (sqrt N))) (/ N (/ (cbrt 0.5) N)) (/ N (/ (sqrt 0.5) (cbrt N))) (/ N (/ (sqrt 0.5) (sqrt N))) (/ N (/ (sqrt 0.5) N)) (/ N (/ 0.5 (cbrt N))) (/ N (/ 0.5 (sqrt N))) (/ N (/ 0.5 N)) (/ N (/ 0.5 N)) (/ N (/ 1 N)) (* N N) (* 0.3333333333333333 (/ 1 (pow N 3))) (+ (log 0.3333333333333333) (- (* (log N) 3))) (+ (log 0.3333333333333333) (- (* (log N) 3))) (+ (log 0.3333333333333333) (- (log (pow N 3)))) (+ (log 0.3333333333333333) (- 0 (* (log N) 3))) (+ (log 0.3333333333333333) (- 0 (* (log N) 3))) (+ (log 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(cbrt (* h1 (/ 1 (pow h0 3)))) (* (* (* h1 (/ 1 (pow h0 3))) (* h1 (/ 1 (pow h0 3)))) (* h1 (/ 1 (pow h0 3)))) (sqrt (* h1 (/ 1 (pow h0 3)))) (sqrt (* h1 (/ 1 (pow h0 3)))) (* (sqrt h1) (sqrt (/ 1 (pow h0 3)))) (* (sqrt h1) (sqrt (/ 1 (pow h0 3)))) (* (sqrt h1) (/ (sqrt 1) (pow (sqrt h0) 3))) (* (sqrt h1) (/ (sqrt 1) (pow (sqrt h0) 3))) (* (sqrt h1) (/ (sqrt 1) (pow (sqrt h0) 3))) (* (sqrt h1) (/ (sqrt 1) (pow (sqrt h0) 3))) (* (sqrt h1) (/ (sqrt 1) (sqrt (pow h0 3)))) (* (sqrt h1) (/ (sqrt 1) (sqrt (pow h0 3)))) (* (sqrt h1) (/ (sqrt 1) (pow h0 (/ 3 2)))) (* (sqrt h1) (/ (sqrt 1) (pow h0 (/ 3 2)))) (* (sqrt h1) (/ 1 (pow (sqrt h0) 3))) (* (sqrt h1) (/ 1 (pow (sqrt h0) 3))) (* (sqrt h1) (/ 1 (pow (sqrt h0) 3))) (* (sqrt h1) (/ 1 (pow (sqrt h0) 3))) (* (sqrt h1) (/ 1 (sqrt (pow h0 3)))) (* (sqrt h1) (/ 1 (sqrt (pow h0 3)))) (* (sqrt h1) (/ 1 (pow h0 (/ 3 2)))) (* (sqrt h1) (/ 1 (pow h0 (/ 3 2)))) (* h1 (* (cbrt (/ 1 (pow h0 3))) (cbrt (/ 1 (pow h0 3))))) (* h1 (sqrt (/ 1 (pow h0 3)))) (* h1 (/ (* (cbrt 1) (cbrt 1)) (pow (* (cbrt h0) (cbrt h0)) 3))) (* h1 (/ (* (cbrt 1) (cbrt 1)) (pow (sqrt h0) 3))) (* h1 (/ (* (cbrt 1) (cbrt 1)) (pow 1 3))) (* h1 (/ (* (cbrt 1) (cbrt 1)) (* h0 h0))) (* h1 (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow h0 3)) (cbrt (pow h0 3))))) (* h1 (/ (* (cbrt 1) (cbrt 1)) (pow (* (cbrt h0) (cbrt h0)) 3))) (* h1 (/ (* (cbrt 1) (cbrt 1)) (pow (sqrt h0) 3))) (* h1 (/ (* (cbrt 1) (cbrt 1)) (pow 1 3))) (* h1 (/ (* (cbrt 1) (cbrt 1)) h0)) (* h1 (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow h0 3)))) (* h1 (/ (* (cbrt 1) (cbrt 1)) 1)) (* h1 (/ (* (cbrt 1) (cbrt 1)) (pow h0 (/ 3 2)))) (* h1 (/ (sqrt 1) (pow (* (cbrt h0) (cbrt h0)) 3))) (* h1 (/ (sqrt 1) (pow (sqrt h0) 3))) (* h1 (/ (sqrt 1) (pow 1 3))) (* h1 (/ (sqrt 1) (* h0 h0))) (* h1 (/ (sqrt 1) (* (cbrt (pow h0 3)) (cbrt (pow h0 3))))) (* h1 (/ (sqrt 1) (pow (* (cbrt h0) (cbrt h0)) 3))) (* h1 (/ (sqrt 1) (pow (sqrt h0) 3))) (* h1 (/ (sqrt 1) (pow 1 3))) (* h1 (/ (sqrt 1) h0)) (* h1 (/ (sqrt 1) (sqrt (pow h0 3)))) (* h1 (/ (sqrt 1) 1)) (* h1 (/ (sqrt 1) (pow h0 (/ 3 2)))) (* h1 (/ 1 (pow (* (cbrt h0) (cbrt h0)) 3))) (* h1 (/ 1 (pow (sqrt h0) 3))) (* h1 (/ 1 (pow 1 3))) (* h1 (/ 1 (* h0 h0))) (* h1 (/ 1 (* (cbrt (pow h0 3)) (cbrt (pow h0 3))))) (* h1 (/ 1 (pow (* (cbrt h0) (cbrt h0)) 3))) (* h1 (/ 1 (pow (sqrt h0) 3))) (* h1 (/ 1 (pow 1 3))) (* h1 (/ 1 h0)) (* h1 (/ 1 (sqrt (pow h0 3)))) (* h1 (/ 1 1)) (* h1 (/ 1 (pow h0 (/ 3 2)))) (* h1 1) (* h1 1) (* (cbrt h1) (/ 1 (pow h0 3))) (* (sqrt h1) (/ 1 (pow h0 3))) (* h1 (/ 1 (pow h0 3))) (* h1 1) (- (* h2 (/ 1 (pow h0 2))) (* h1 (/ 1 (pow h0 3)))) (- (* h2 (/ 1 (pow h0 2))) (* h1 (/ 1 (pow h0 3)))) (- (* h2 (/ 1 (pow h0 2))) (* h1 (/ 1 (pow h0 3)))) (/ 1 (pow h0 3)) (/ 1 (pow h0 3)) (/ 1 (pow h0 3)) (/ h2 (pow h0 2)) (/ h2 (pow h0 2)) (/ h2 (pow h0 2)) (/ h1 (pow h0 3)) (/ h1 (pow h0 3)) (/ h1 (pow h0 3)) 4.772 * * * [progress]: adding candidates to table 5.441 * [progress]: [Phase 3 of 3] Extracting. 5.441 * * [regime]: Finding splitpoints for: (# #) 5.442 * * * [regime-changes]: Trying 1 branch expressions: (N) 5.442 * * * * [regimes]: Trying to branch on N from (# #) 5.462 * * * [regime]: Found split indices: #