24.515 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.084 * * * [progress]: [2/2] Setting up program. 0.086 * [progress]: [Phase 2 of 3] Improving. 0.086 * [simplify]: Simplifying: (- (log (+ N 1.0)) (log N)) 0.086 * * [simplify]: Extracting # 0 : cost 0 0.086 * * [simplify]: Extracting # 1 : cost 0 0.086 * * [simplify]: Extracting # 2 : cost 0 0.086 * * [simplify]: Extracting # 3 : cost 0 0.086 * * [simplify]: Extracting # 4 : cost 0 0.086 * * [simplify]: Extracting # 5 : cost 0 0.086 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 0.087 * * [simplify]: Extracting # 0 : cost 0 0.087 * * [simplify]: Extracting # 1 : cost 0 0.087 * * [simplify]: Extracting # 2 : cost 0 0.087 * * [simplify]: iteration 1 : 9 enodes (cost 7 ) 0.089 * * [simplify]: Extracting # 0 : cost 0 0.089 * * [simplify]: iteration 2 : 10 enodes (cost 7 ) 0.090 * * [simplify]: Extracting # 0 : cost 0 0.090 * * [simplify]: iteration done: 10 enodes (cost 7 ) 0.090 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.090 * * [progress]: iteration 1 / 4 0.090 * * * [progress]: picking best candidate 0.092 * * * * [pick]: Picked # 0.092 * * * [progress]: localizing error 0.100 * * * [progress]: generating rewritten candidates 0.100 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.105 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.136 * * * [progress]: generating series expansions 0.136 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.137 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 0.137 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.137 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.137 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.137 * [taylor]: Taking taylor expansion of N in N 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 1 into 1 0.137 * [taylor]: Taking taylor expansion of 1.0 in N 0.137 * [backup-simplify]: Simplify 1.0 into 1.0 0.137 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.138 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.138 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.138 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.138 * [taylor]: Taking taylor expansion of N in N 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 1 into 1 0.138 * [taylor]: Taking taylor expansion of 1.0 in N 0.138 * [backup-simplify]: Simplify 1.0 into 1.0 0.138 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.139 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.139 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.140 * [backup-simplify]: Simplify (+ 1 0) into 1 0.143 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.143 * [backup-simplify]: Simplify 1.0 into 1.0 0.144 * [backup-simplify]: Simplify (+ 0 0) into 0 0.151 * [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)) 0.152 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.154 * [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)))) 0.154 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 0.154 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.154 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.154 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.154 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.154 * [taylor]: Taking taylor expansion of N in N 0.154 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify 1 into 1 0.155 * [backup-simplify]: Simplify (/ 1 1) into 1 0.155 * [taylor]: Taking taylor expansion of 1.0 in N 0.155 * [backup-simplify]: Simplify 1.0 into 1.0 0.155 * [backup-simplify]: Simplify (+ 1 0) into 1 0.156 * [backup-simplify]: Simplify (log 1) into 0 0.156 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.156 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.156 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.156 * [taylor]: Taking taylor expansion of N in N 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify 1 into 1 0.156 * [backup-simplify]: Simplify (/ 1 1) into 1 0.156 * [taylor]: Taking taylor expansion of 1.0 in N 0.156 * [backup-simplify]: Simplify 1.0 into 1.0 0.157 * [backup-simplify]: Simplify (+ 1 0) into 1 0.157 * [backup-simplify]: Simplify (log 1) into 0 0.158 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.158 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.159 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.165 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.166 * [backup-simplify]: Simplify 1.0 into 1.0 0.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.167 * [backup-simplify]: Simplify (+ 0 0) into 0 0.178 * [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 0.178 * [backup-simplify]: Simplify -0.5 into -0.5 0.178 * [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)))) 0.179 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 0.179 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.179 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.179 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.179 * [taylor]: Taking taylor expansion of 1.0 in N 0.179 * [backup-simplify]: Simplify 1.0 into 1.0 0.179 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.179 * [taylor]: Taking taylor expansion of N in N 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify 1 into 1 0.179 * [backup-simplify]: Simplify (/ 1 1) into 1 0.180 * [backup-simplify]: Simplify (- 1) into -1 0.180 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.181 * [backup-simplify]: Simplify (log -1) into (log -1) 0.181 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.181 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.181 * [taylor]: Taking taylor expansion of 1.0 in N 0.181 * [backup-simplify]: Simplify 1.0 into 1.0 0.181 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.181 * [taylor]: Taking taylor expansion of N in N 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify 1 into 1 0.181 * [backup-simplify]: Simplify (/ 1 1) into 1 0.182 * [backup-simplify]: Simplify (- 1) into -1 0.182 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.182 * [backup-simplify]: Simplify (log -1) into (log -1) 0.183 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.184 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.185 * [backup-simplify]: Simplify (- 0) into 0 0.185 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.192 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.192 * [backup-simplify]: Simplify -1.0 into -1.0 0.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.194 * [backup-simplify]: Simplify (- 0) into 0 0.194 * [backup-simplify]: Simplify (+ 0 0) into 0 0.206 * [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 0.206 * [backup-simplify]: Simplify -0.5 into -0.5 0.207 * [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)))) 0.208 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.208 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N)) 0.208 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.208 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.208 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.208 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.208 * [taylor]: Taking taylor expansion of N in N 0.208 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify 1 into 1 0.208 * [taylor]: Taking taylor expansion of 1.0 in N 0.208 * [backup-simplify]: Simplify 1.0 into 1.0 0.209 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.209 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.209 * [taylor]: Taking taylor expansion of (log N) in N 0.209 * [taylor]: Taking taylor expansion of N in N 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify 1 into 1 0.209 * [backup-simplify]: Simplify (log 1) into 0 0.209 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.210 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.210 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.210 * [taylor]: Taking taylor expansion of N in N 0.210 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify 1 into 1 0.210 * [taylor]: Taking taylor expansion of 1.0 in N 0.210 * [backup-simplify]: Simplify 1.0 into 1.0 0.210 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.210 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.210 * [taylor]: Taking taylor expansion of (log N) in N 0.210 * [taylor]: Taking taylor expansion of N in N 0.210 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify 1 into 1 0.211 * [backup-simplify]: Simplify (log 1) into 0 0.211 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.211 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.212 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 0.212 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.213 * [backup-simplify]: Simplify (+ 1 0) into 1 0.217 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.219 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.219 * [backup-simplify]: Simplify (- 0) into 0 0.219 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.220 * [backup-simplify]: Simplify 1.0 into 1.0 0.220 * [backup-simplify]: Simplify (+ 0 0) into 0 0.232 * [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)) 0.236 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.236 * [backup-simplify]: Simplify (- 0) into 0 0.238 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.241 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.243 * [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))) 0.243 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 0.243 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 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 0.244 * [backup-simplify]: Simplify (log 1) into 0 0.244 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.244 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.244 * [taylor]: Taking taylor expansion of N in N 0.244 * [backup-simplify]: Simplify 0 into 0 0.244 * [backup-simplify]: Simplify 1 into 1 0.244 * [backup-simplify]: Simplify (/ 1 1) into 1 0.245 * [backup-simplify]: Simplify (log 1) into 0 0.245 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.245 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.245 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.245 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.245 * [taylor]: Taking taylor expansion of N in N 0.245 * [backup-simplify]: Simplify 0 into 0 0.245 * [backup-simplify]: Simplify 1 into 1 0.245 * [backup-simplify]: Simplify (/ 1 1) into 1 0.245 * [taylor]: Taking taylor expansion of 1.0 in N 0.245 * [backup-simplify]: Simplify 1.0 into 1.0 0.245 * [backup-simplify]: Simplify (+ 1 0) into 1 0.246 * [backup-simplify]: Simplify (log 1) into 0 0.246 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.246 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.246 * [taylor]: Taking taylor expansion of N in N 0.246 * [backup-simplify]: Simplify 0 into 0 0.246 * [backup-simplify]: Simplify 1 into 1 0.246 * [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)) 0.247 * [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 0.251 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.252 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.252 * [backup-simplify]: Simplify (- 0) into 0 0.253 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.253 * [backup-simplify]: Simplify 1.0 into 1.0 0.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.253 * [backup-simplify]: Simplify (+ 0 0) into 0 0.263 * [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 0.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.265 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.266 * [backup-simplify]: Simplify (- 0) into 0 0.266 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.266 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.267 * [backup-simplify]: Simplify (+ 0 0) into 0 0.276 * [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 0.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.280 * [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 0.280 * [backup-simplify]: Simplify (- 0) into 0 0.280 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.280 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.281 * [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)))) 0.281 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 0.281 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.281 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.281 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.281 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.281 * [taylor]: Taking taylor expansion of 1.0 in N 0.281 * [backup-simplify]: Simplify 1.0 into 1.0 0.281 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.281 * [taylor]: Taking taylor expansion of N in N 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify 1 into 1 0.281 * [backup-simplify]: Simplify (/ 1 1) into 1 0.282 * [backup-simplify]: Simplify (- 1) into -1 0.282 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.282 * [backup-simplify]: Simplify (log -1) into (log -1) 0.282 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.282 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.282 * [taylor]: Taking taylor expansion of -1 in N 0.282 * [backup-simplify]: Simplify -1 into -1 0.282 * [taylor]: Taking taylor expansion of N in N 0.282 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify 1 into 1 0.282 * [backup-simplify]: Simplify (/ -1 1) into -1 0.283 * [backup-simplify]: Simplify (log -1) into (log -1) 0.283 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.283 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.283 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.283 * [taylor]: Taking taylor expansion of 1.0 in N 0.283 * [backup-simplify]: Simplify 1.0 into 1.0 0.283 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.283 * [taylor]: Taking taylor expansion of N in N 0.283 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify 1 into 1 0.283 * [backup-simplify]: Simplify (/ 1 1) into 1 0.283 * [backup-simplify]: Simplify (- 1) into -1 0.284 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.284 * [backup-simplify]: Simplify (log -1) into (log -1) 0.284 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.284 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.284 * [taylor]: Taking taylor expansion of -1 in N 0.284 * [backup-simplify]: Simplify -1 into -1 0.284 * [taylor]: Taking taylor expansion of N in N 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify 1 into 1 0.284 * [backup-simplify]: Simplify (/ -1 1) into -1 0.284 * [backup-simplify]: Simplify (log -1) into (log -1) 0.285 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.286 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.287 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.287 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.287 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.289 * [backup-simplify]: Simplify (- 0) into 0 0.289 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.297 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.298 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.299 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.300 * [backup-simplify]: Simplify (- 0) into 0 0.300 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 0.301 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.302 * [backup-simplify]: Simplify (- 0) into 0 0.303 * [backup-simplify]: Simplify (+ 0 0) into 0 0.315 * [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 0.316 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.319 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.320 * [backup-simplify]: Simplify (- 0) into 0 0.320 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.320 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.322 * [backup-simplify]: Simplify (- 0) into 0 0.322 * [backup-simplify]: Simplify (+ 0 0) into 0 0.343 * [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 0.344 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.350 * [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 0.350 * [backup-simplify]: Simplify (- 0) into 0 0.351 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 0.351 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.353 * [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)))) 0.353 * * * [progress]: simplifying candidates 0.355 * [simplify]: Simplifying: (expm1 (log (+ N 1.0))) (log1p (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))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log (+ N 1.0)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log (+ N 1.0)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (expm1 (- (log (+ N 1.0)) (log N))) (log1p (- (log (+ N 1.0)) (log N))) (- (log N)) (- (log N)) (- (log N)) (- (log N)) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (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)))) 0.358 * * [simplify]: Extracting # 0 : cost 0 0.358 * * [simplify]: Extracting # 1 : cost 0 0.358 * * [simplify]: Extracting # 2 : cost 0 0.359 * * [simplify]: Extracting # 3 : cost 0 0.359 * * [simplify]: Extracting # 4 : cost 0 0.359 * * [simplify]: Extracting # 5 : cost 0 0.359 * * [simplify]: Extracting # 6 : cost 0 0.360 * * [simplify]: Extracting # 7 : cost 0 0.360 * * [simplify]: Extracting # 8 : cost 0 0.360 * * [simplify]: Extracting # 9 : cost 0 0.361 * * [simplify]: iteration 0 : 127 enodes (cost 1052 ) 0.396 * * [simplify]: Extracting # 0 : cost 0 0.396 * * [simplify]: Extracting # 1 : cost 0 0.397 * * [simplify]: Extracting # 2 : cost 0 0.398 * * [simplify]: Extracting # 3 : cost 0 0.399 * * [simplify]: Extracting # 4 : cost 0 0.399 * * [simplify]: iteration 1 : 288 enodes (cost 863 ) 0.607 * * [simplify]: Extracting # 0 : cost 0 0.610 * * [simplify]: Extracting # 1 : cost 0 0.612 * * [simplify]: Extracting # 2 : cost 0 0.621 * * [simplify]: Extracting # 3 : cost 0 0.623 * * [simplify]: iteration 2 : 1086 enodes (cost 705 ) 1.610 * * [simplify]: Extracting # 0 : cost 0 1.624 * * [simplify]: Extracting # 1 : cost 0 1.636 * * [simplify]: Extracting # 2 : cost 0 1.647 * * [simplify]: Extracting # 3 : cost 0 1.656 * * [simplify]: Extracting # 4 : cost 0 1.667 * * [simplify]: iteration done: 5001 enodes (cost 614 ) 1.667 * [simplify]: Simplified to: (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (* 2 (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (fma N N (* 1.0 (- 1.0 N)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (pow (cbrt (log (+ N 1.0))) 3) (log N)) 0 (- (pow (cbrt (log (+ N 1.0))) 3) (log N)) 0 (- (pow (cbrt (log (+ N 1.0))) 3) (log N)) 0 (- (pow (cbrt (log (+ N 1.0))) 3) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (expm1 (- (log (+ N 1.0)) (log N))) (log1p (- (log (+ N 1.0)) (log N))) (- (log N)) (- (log N)) (- (log N)) (- (log N)) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (/ (+ N 1.0) N) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (pow (- (log (+ N 1.0)) (log N)) 3) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (fma (log N) (log N) (* (log (+ N 1.0)) (+ (log N) (log (+ N 1.0))))) (- (log N)) (- (* (log (+ N 1.0)) (log (+ N 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)) (* 2 (log (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (log (+ N 1.0)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (fma N N (* 1.0 (- 1.0 N)))) (log N)) (+ (log (- N 1.0)) (log N)) (- (log N)) (fma -1/2 (/ (pow N 2) (pow 1.0 2)) (fma 1.0 N (log 1.0))) (- (/ 1.0 N) (- (/ 0.5 (* N N)) (log N))) (+ (- (log -1) (+ (log (/ -1 N)) (/ 0.5 (* N N)))) (/ 1.0 N)) (- (fma 1.0 N (log 1.0)) (fma 1/2 (/ (pow N 2) (pow 1.0 2)) (log N))) (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))) (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))) 1.668 * * * [progress]: adding candidates to table 1.883 * * [progress]: iteration 2 / 4 1.884 * * * [progress]: picking best candidate 1.889 * * * * [pick]: Picked # 1.889 * * * [progress]: localizing error 1.895 * * * [progress]: generating rewritten candidates 1.895 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 1.902 * * * [progress]: generating series expansions 1.902 * * * * [progress]: [ 1 / 1 ] generating series at (2) 1.902 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 1.902 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 1.902 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.902 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.902 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.902 * [taylor]: Taking taylor expansion of N in N 1.902 * [backup-simplify]: Simplify 0 into 0 1.902 * [backup-simplify]: Simplify 1 into 1 1.902 * [taylor]: Taking taylor expansion of 1.0 in N 1.902 * [backup-simplify]: Simplify 1.0 into 1.0 1.902 * [taylor]: Taking taylor expansion of N in N 1.902 * [backup-simplify]: Simplify 0 into 0 1.902 * [backup-simplify]: Simplify 1 into 1 1.903 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.903 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.903 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.903 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.903 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.903 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.903 * [taylor]: Taking taylor expansion of N in N 1.903 * [backup-simplify]: Simplify 0 into 0 1.903 * [backup-simplify]: Simplify 1 into 1 1.903 * [taylor]: Taking taylor expansion of 1.0 in N 1.903 * [backup-simplify]: Simplify 1.0 into 1.0 1.903 * [taylor]: Taking taylor expansion of N in N 1.904 * [backup-simplify]: Simplify 0 into 0 1.904 * [backup-simplify]: Simplify 1 into 1 1.904 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.904 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.904 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.905 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 1.905 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 1.905 * [backup-simplify]: Simplify (+ 1 0) into 1 1.906 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 1.909 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 1.909 * [backup-simplify]: Simplify 1.0 into 1.0 1.909 * [backup-simplify]: Simplify (+ 0 0) into 0 1.910 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1.919 * [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)) 1.920 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 1.921 * [backup-simplify]: Simplify (+ (* (/ -1/2 (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))) 1.921 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 1.921 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 1.921 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.921 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.921 * [taylor]: Taking taylor expansion of N in N 1.921 * [backup-simplify]: Simplify 0 into 0 1.921 * [backup-simplify]: Simplify 1 into 1 1.921 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.921 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.921 * [taylor]: Taking taylor expansion of N in N 1.921 * [backup-simplify]: Simplify 0 into 0 1.921 * [backup-simplify]: Simplify 1 into 1 1.921 * [backup-simplify]: Simplify (/ 1 1) into 1 1.921 * [taylor]: Taking taylor expansion of 1.0 in N 1.921 * [backup-simplify]: Simplify 1.0 into 1.0 1.922 * [backup-simplify]: Simplify (+ 1 0) into 1 1.922 * [backup-simplify]: Simplify (* 0 1) into 0 1.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.923 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.923 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.923 * [backup-simplify]: Simplify (log 1) into 0 1.923 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.923 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.923 * [taylor]: Taking taylor expansion of N in N 1.923 * [backup-simplify]: Simplify 0 into 0 1.923 * [backup-simplify]: Simplify 1 into 1 1.923 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.923 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.923 * [taylor]: Taking taylor expansion of N in N 1.923 * [backup-simplify]: Simplify 0 into 0 1.923 * [backup-simplify]: Simplify 1 into 1 1.924 * [backup-simplify]: Simplify (/ 1 1) into 1 1.924 * [taylor]: Taking taylor expansion of 1.0 in N 1.924 * [backup-simplify]: Simplify 1.0 into 1.0 1.924 * [backup-simplify]: Simplify (+ 1 0) into 1 1.924 * [backup-simplify]: Simplify (* 0 1) into 0 1.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.925 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.925 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.925 * [backup-simplify]: Simplify (log 1) into 0 1.926 * [backup-simplify]: Simplify 0 into 0 1.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.926 * [backup-simplify]: Simplify (+ 0 0) into 0 1.928 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 1.931 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 1.931 * [backup-simplify]: Simplify 1.0 into 1.0 1.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.932 * [backup-simplify]: Simplify (+ 0 0) into 0 1.933 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 1.941 * [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 1.941 * [backup-simplify]: Simplify -0.5 into -0.5 1.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.942 * [backup-simplify]: Simplify (+ 0 0) into 0 1.944 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 1.963 * [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 1.963 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 1.963 * [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)))) 1.964 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 1.964 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 1.964 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.964 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.964 * [taylor]: Taking taylor expansion of -1 in N 1.964 * [backup-simplify]: Simplify -1 into -1 1.964 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.964 * [taylor]: Taking taylor expansion of N in N 1.964 * [backup-simplify]: Simplify 0 into 0 1.964 * [backup-simplify]: Simplify 1 into 1 1.964 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.964 * [taylor]: Taking taylor expansion of 1.0 in N 1.964 * [backup-simplify]: Simplify 1.0 into 1.0 1.964 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.964 * [taylor]: Taking taylor expansion of N in N 1.964 * [backup-simplify]: Simplify 0 into 0 1.964 * [backup-simplify]: Simplify 1 into 1 1.965 * [backup-simplify]: Simplify (/ 1 1) into 1 1.965 * [backup-simplify]: Simplify (- 1) into -1 1.965 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.966 * [backup-simplify]: Simplify (* 0 -1) into 0 1.966 * [backup-simplify]: Simplify (* -1 0) into 0 1.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.967 * [backup-simplify]: Simplify (- 0) into 0 1.967 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.967 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 1.968 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 1.968 * [backup-simplify]: Simplify (log 1) into 0 1.968 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.968 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.968 * [taylor]: Taking taylor expansion of -1 in N 1.968 * [backup-simplify]: Simplify -1 into -1 1.968 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.968 * [taylor]: Taking taylor expansion of N in N 1.968 * [backup-simplify]: Simplify 0 into 0 1.968 * [backup-simplify]: Simplify 1 into 1 1.968 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.968 * [taylor]: Taking taylor expansion of 1.0 in N 1.968 * [backup-simplify]: Simplify 1.0 into 1.0 1.968 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.968 * [taylor]: Taking taylor expansion of N in N 1.968 * [backup-simplify]: Simplify 0 into 0 1.968 * [backup-simplify]: Simplify 1 into 1 1.968 * [backup-simplify]: Simplify (/ 1 1) into 1 1.969 * [backup-simplify]: Simplify (- 1) into -1 1.969 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.969 * [backup-simplify]: Simplify (* 0 -1) into 0 1.969 * [backup-simplify]: Simplify (* -1 0) into 0 1.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.970 * [backup-simplify]: Simplify (- 0) into 0 1.970 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.971 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 1.971 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 1.972 * [backup-simplify]: Simplify (log 1) into 0 1.972 * [backup-simplify]: Simplify 0 into 0 1.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.972 * [backup-simplify]: Simplify (- 0) into 0 1.973 * [backup-simplify]: Simplify (+ 0 0) into 0 1.974 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 1.975 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 1.980 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 1.980 * [backup-simplify]: Simplify -1.0 into -1.0 1.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.981 * [backup-simplify]: Simplify (- 0) into 0 1.981 * [backup-simplify]: Simplify (+ 0 0) into 0 1.982 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 1.983 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 1.991 * [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 1.991 * [backup-simplify]: Simplify -0.5 into -0.5 1.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.992 * [backup-simplify]: Simplify (- 0) into 0 1.993 * [backup-simplify]: Simplify (+ 0 0) into 0 1.993 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 1.994 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 2.009 * [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 2.009 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 2.010 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) (+ (* -0.5 (pow (/ 1 (- N)) 2)) (* -1.0 (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 2.010 * * * [progress]: simplifying candidates 2.011 * [simplify]: Simplifying: (expm1 (log (/ (+ N 1.0) N))) (log1p (log (/ (+ N 1.0) N))) (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1)) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log 1) (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (exp (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (- (+ (* 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)))) 2.012 * * [simplify]: Extracting # 0 : cost 0 2.013 * * [simplify]: Extracting # 1 : cost 0 2.013 * * [simplify]: Extracting # 2 : cost 0 2.013 * * [simplify]: Extracting # 3 : cost 0 2.013 * * [simplify]: Extracting # 4 : cost 0 2.013 * * [simplify]: Extracting # 5 : cost 0 2.014 * * [simplify]: Extracting # 6 : cost 0 2.014 * * [simplify]: Extracting # 7 : cost 0 2.014 * * [simplify]: iteration 0 : 86 enodes (cost 395 ) 2.046 * * [simplify]: Extracting # 0 : cost 0 2.046 * * [simplify]: Extracting # 1 : cost 0 2.046 * * [simplify]: Extracting # 2 : cost 0 2.047 * * [simplify]: Extracting # 3 : cost 0 2.047 * * [simplify]: Extracting # 4 : cost 0 2.047 * * [simplify]: iteration 1 : 174 enodes (cost 373 ) 2.095 * * [simplify]: Extracting # 0 : cost 0 2.096 * * [simplify]: Extracting # 1 : cost 0 2.096 * * [simplify]: Extracting # 2 : cost 0 2.097 * * [simplify]: Extracting # 3 : cost 0 2.097 * * [simplify]: iteration 2 : 467 enodes (cost 346 ) 2.378 * * [simplify]: Extracting # 0 : cost 0 2.380 * * [simplify]: Extracting # 1 : cost 0 2.382 * * [simplify]: Extracting # 2 : cost 0 2.385 * * [simplify]: Extracting # 3 : cost 0 2.387 * * [simplify]: Extracting # 4 : cost 0 2.389 * * [simplify]: iteration 3 : 1942 enodes (cost 333 ) 3.139 * * [simplify]: Extracting # 0 : cost 0 3.153 * * [simplify]: Extracting # 1 : cost 0 3.163 * * [simplify]: Extracting # 2 : cost 0 3.173 * * [simplify]: Extracting # 3 : cost 0 3.183 * * [simplify]: Extracting # 4 : cost 0 3.193 * * [simplify]: iteration done: 5001 enodes (cost 331 ) 3.194 * [simplify]: Simplified to: (expm1 (log (/ (+ N 1.0) N))) (log1p (log (/ (+ N 1.0) N))) (* 2 (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (* 2 (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (- (* 2 (log (cbrt (+ N 1.0)))) (log (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)) (- (* 2 (log (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) (- (* 2 (log (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) 0 (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (- (log N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (/ (+ N 1.0) N) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (pow (log (/ (+ N 1.0) N)) 3) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (- (fma 1.0 N (log 1.0)) (fma 1/2 (/ (pow N 2) (pow 1.0 2)) (log N))) (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)) (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)) 3.195 * * * [progress]: adding candidates to table 3.281 * * [progress]: iteration 3 / 4 3.281 * * * [progress]: picking best candidate 3.286 * * * * [pick]: Picked # 3.286 * * * [progress]: localizing error 3.319 * * * [progress]: generating rewritten candidates 3.319 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 3.335 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 3.340 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 3.345 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 3.365 * * * [progress]: generating series expansions 3.365 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 3.365 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 3.365 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 3.365 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 3.365 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.365 * [taylor]: Taking taylor expansion of N in N 3.365 * [backup-simplify]: Simplify 0 into 0 3.365 * [backup-simplify]: Simplify 1 into 1 3.365 * [taylor]: Taking taylor expansion of 1.0 in N 3.365 * [backup-simplify]: Simplify 1.0 into 1.0 3.366 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.366 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.366 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 3.366 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.366 * [taylor]: Taking taylor expansion of N in N 3.366 * [backup-simplify]: Simplify 0 into 0 3.366 * [backup-simplify]: Simplify 1 into 1 3.366 * [taylor]: Taking taylor expansion of 1.0 in N 3.366 * [backup-simplify]: Simplify 1.0 into 1.0 3.366 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.367 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.367 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.367 * [backup-simplify]: Simplify (+ 1 0) into 1 3.370 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 3.370 * [backup-simplify]: Simplify 1.0 into 1.0 3.371 * [backup-simplify]: Simplify (+ 0 0) into 0 3.376 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 3.377 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 3.378 * [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)))) 3.378 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 3.378 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 3.378 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 3.378 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.378 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.378 * [taylor]: Taking taylor expansion of N in N 3.378 * [backup-simplify]: Simplify 0 into 0 3.378 * [backup-simplify]: Simplify 1 into 1 3.378 * [backup-simplify]: Simplify (/ 1 1) into 1 3.378 * [taylor]: Taking taylor expansion of 1.0 in N 3.379 * [backup-simplify]: Simplify 1.0 into 1.0 3.379 * [backup-simplify]: Simplify (+ 1 0) into 1 3.379 * [backup-simplify]: Simplify (log 1) into 0 3.379 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 3.379 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.379 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.379 * [taylor]: Taking taylor expansion of N in N 3.379 * [backup-simplify]: Simplify 0 into 0 3.379 * [backup-simplify]: Simplify 1 into 1 3.379 * [backup-simplify]: Simplify (/ 1 1) into 1 3.379 * [taylor]: Taking taylor expansion of 1.0 in N 3.379 * [backup-simplify]: Simplify 1.0 into 1.0 3.380 * [backup-simplify]: Simplify (+ 1 0) into 1 3.380 * [backup-simplify]: Simplify (log 1) into 0 3.380 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.380 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 3.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.381 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.384 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 3.384 * [backup-simplify]: Simplify 1.0 into 1.0 3.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.385 * [backup-simplify]: Simplify (+ 0 0) into 0 3.391 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 3.392 * [backup-simplify]: Simplify -0.5 into -0.5 3.392 * [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)))) 3.392 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 3.392 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 3.392 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 3.392 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.392 * [taylor]: Taking taylor expansion of 1.0 in N 3.392 * [backup-simplify]: Simplify 1.0 into 1.0 3.392 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.392 * [taylor]: Taking taylor expansion of N in N 3.392 * [backup-simplify]: Simplify 0 into 0 3.392 * [backup-simplify]: Simplify 1 into 1 3.392 * [backup-simplify]: Simplify (/ 1 1) into 1 3.393 * [backup-simplify]: Simplify (- 1) into -1 3.393 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.393 * [backup-simplify]: Simplify (log -1) into (log -1) 3.393 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 3.393 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.394 * [taylor]: Taking taylor expansion of 1.0 in N 3.394 * [backup-simplify]: Simplify 1.0 into 1.0 3.394 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.394 * [taylor]: Taking taylor expansion of N in N 3.394 * [backup-simplify]: Simplify 0 into 0 3.394 * [backup-simplify]: Simplify 1 into 1 3.394 * [backup-simplify]: Simplify (/ 1 1) into 1 3.394 * [backup-simplify]: Simplify (- 1) into -1 3.395 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.395 * [backup-simplify]: Simplify (log -1) into (log -1) 3.396 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.396 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 3.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.398 * [backup-simplify]: Simplify (- 0) into 0 3.398 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.405 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 3.405 * [backup-simplify]: Simplify -1.0 into -1.0 3.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.406 * [backup-simplify]: Simplify (- 0) into 0 3.406 * [backup-simplify]: Simplify (+ 0 0) into 0 3.424 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 3.425 * [backup-simplify]: Simplify -0.5 into -0.5 3.426 * [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)))) 3.426 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 3.426 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 3.426 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 3.426 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 3.426 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.426 * [taylor]: Taking taylor expansion of N in N 3.426 * [backup-simplify]: Simplify 0 into 0 3.426 * [backup-simplify]: Simplify 1 into 1 3.426 * [taylor]: Taking taylor expansion of 1.0 in N 3.426 * [backup-simplify]: Simplify 1.0 into 1.0 3.427 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.427 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.427 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 3.427 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.427 * [taylor]: Taking taylor expansion of N in N 3.427 * [backup-simplify]: Simplify 0 into 0 3.427 * [backup-simplify]: Simplify 1 into 1 3.427 * [taylor]: Taking taylor expansion of 1.0 in N 3.427 * [backup-simplify]: Simplify 1.0 into 1.0 3.428 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.428 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.429 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.429 * [backup-simplify]: Simplify (+ 1 0) into 1 3.434 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 3.434 * [backup-simplify]: Simplify 1.0 into 1.0 3.435 * [backup-simplify]: Simplify (+ 0 0) into 0 3.444 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 3.445 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 3.447 * [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)))) 3.447 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 3.447 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 3.447 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 3.447 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.447 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.447 * [taylor]: Taking taylor expansion of N in N 3.447 * [backup-simplify]: Simplify 0 into 0 3.447 * [backup-simplify]: Simplify 1 into 1 3.448 * [backup-simplify]: Simplify (/ 1 1) into 1 3.448 * [taylor]: Taking taylor expansion of 1.0 in N 3.448 * [backup-simplify]: Simplify 1.0 into 1.0 3.448 * [backup-simplify]: Simplify (+ 1 0) into 1 3.448 * [backup-simplify]: Simplify (log 1) into 0 3.448 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 3.449 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.449 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.449 * [taylor]: Taking taylor expansion of N in N 3.449 * [backup-simplify]: Simplify 0 into 0 3.449 * [backup-simplify]: Simplify 1 into 1 3.449 * [backup-simplify]: Simplify (/ 1 1) into 1 3.449 * [taylor]: Taking taylor expansion of 1.0 in N 3.449 * [backup-simplify]: Simplify 1.0 into 1.0 3.449 * [backup-simplify]: Simplify (+ 1 0) into 1 3.450 * [backup-simplify]: Simplify (log 1) into 0 3.450 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.450 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 3.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.452 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.459 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 3.459 * [backup-simplify]: Simplify 1.0 into 1.0 3.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.460 * [backup-simplify]: Simplify (+ 0 0) into 0 3.472 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 3.472 * [backup-simplify]: Simplify -0.5 into -0.5 3.473 * [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)))) 3.473 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 3.473 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 3.473 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 3.473 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.473 * [taylor]: Taking taylor expansion of 1.0 in N 3.473 * [backup-simplify]: Simplify 1.0 into 1.0 3.473 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.473 * [taylor]: Taking taylor expansion of N in N 3.473 * [backup-simplify]: Simplify 0 into 0 3.473 * [backup-simplify]: Simplify 1 into 1 3.474 * [backup-simplify]: Simplify (/ 1 1) into 1 3.474 * [backup-simplify]: Simplify (- 1) into -1 3.474 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.475 * [backup-simplify]: Simplify (log -1) into (log -1) 3.475 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 3.475 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.475 * [taylor]: Taking taylor expansion of 1.0 in N 3.475 * [backup-simplify]: Simplify 1.0 into 1.0 3.475 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.475 * [taylor]: Taking taylor expansion of N in N 3.475 * [backup-simplify]: Simplify 0 into 0 3.475 * [backup-simplify]: Simplify 1 into 1 3.476 * [backup-simplify]: Simplify (/ 1 1) into 1 3.476 * [backup-simplify]: Simplify (- 1) into -1 3.476 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.477 * [backup-simplify]: Simplify (log -1) into (log -1) 3.478 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.478 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 3.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.480 * [backup-simplify]: Simplify (- 0) into 0 3.480 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.487 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 3.487 * [backup-simplify]: Simplify -1.0 into -1.0 3.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.489 * [backup-simplify]: Simplify (- 0) into 0 3.489 * [backup-simplify]: Simplify (+ 0 0) into 0 3.501 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 3.501 * [backup-simplify]: Simplify -0.5 into -0.5 3.502 * [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)))) 3.502 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 3.503 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 3.503 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 3.503 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 3.503 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.503 * [taylor]: Taking taylor expansion of N in N 3.503 * [backup-simplify]: Simplify 0 into 0 3.503 * [backup-simplify]: Simplify 1 into 1 3.503 * [taylor]: Taking taylor expansion of 1.0 in N 3.503 * [backup-simplify]: Simplify 1.0 into 1.0 3.503 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.504 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.504 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 3.504 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.504 * [taylor]: Taking taylor expansion of N in N 3.504 * [backup-simplify]: Simplify 0 into 0 3.504 * [backup-simplify]: Simplify 1 into 1 3.504 * [taylor]: Taking taylor expansion of 1.0 in N 3.504 * [backup-simplify]: Simplify 1.0 into 1.0 3.504 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.505 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.505 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.506 * [backup-simplify]: Simplify (+ 1 0) into 1 3.511 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 3.511 * [backup-simplify]: Simplify 1.0 into 1.0 3.511 * [backup-simplify]: Simplify (+ 0 0) into 0 3.522 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 3.523 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 3.525 * [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)))) 3.525 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 3.525 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 3.525 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 3.525 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.525 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.525 * [taylor]: Taking taylor expansion of N in N 3.525 * [backup-simplify]: Simplify 0 into 0 3.525 * [backup-simplify]: Simplify 1 into 1 3.526 * [backup-simplify]: Simplify (/ 1 1) into 1 3.526 * [taylor]: Taking taylor expansion of 1.0 in N 3.526 * [backup-simplify]: Simplify 1.0 into 1.0 3.526 * [backup-simplify]: Simplify (+ 1 0) into 1 3.526 * [backup-simplify]: Simplify (log 1) into 0 3.526 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 3.526 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.527 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.527 * [taylor]: Taking taylor expansion of N in N 3.527 * [backup-simplify]: Simplify 0 into 0 3.527 * [backup-simplify]: Simplify 1 into 1 3.527 * [backup-simplify]: Simplify (/ 1 1) into 1 3.527 * [taylor]: Taking taylor expansion of 1.0 in N 3.527 * [backup-simplify]: Simplify 1.0 into 1.0 3.527 * [backup-simplify]: Simplify (+ 1 0) into 1 3.528 * [backup-simplify]: Simplify (log 1) into 0 3.528 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.528 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 3.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.529 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.533 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 3.533 * [backup-simplify]: Simplify 1.0 into 1.0 3.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.533 * [backup-simplify]: Simplify (+ 0 0) into 0 3.539 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 3.539 * [backup-simplify]: Simplify -0.5 into -0.5 3.540 * [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)))) 3.540 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 3.540 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 3.540 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 3.540 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.540 * [taylor]: Taking taylor expansion of 1.0 in N 3.540 * [backup-simplify]: Simplify 1.0 into 1.0 3.540 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.540 * [taylor]: Taking taylor expansion of N in N 3.540 * [backup-simplify]: Simplify 0 into 0 3.540 * [backup-simplify]: Simplify 1 into 1 3.540 * [backup-simplify]: Simplify (/ 1 1) into 1 3.540 * [backup-simplify]: Simplify (- 1) into -1 3.541 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.541 * [backup-simplify]: Simplify (log -1) into (log -1) 3.541 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 3.541 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.541 * [taylor]: Taking taylor expansion of 1.0 in N 3.541 * [backup-simplify]: Simplify 1.0 into 1.0 3.541 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.541 * [taylor]: Taking taylor expansion of N in N 3.541 * [backup-simplify]: Simplify 0 into 0 3.541 * [backup-simplify]: Simplify 1 into 1 3.541 * [backup-simplify]: Simplify (/ 1 1) into 1 3.542 * [backup-simplify]: Simplify (- 1) into -1 3.542 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.542 * [backup-simplify]: Simplify (log -1) into (log -1) 3.543 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.543 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 3.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.544 * [backup-simplify]: Simplify (- 0) into 0 3.544 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.548 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 3.548 * [backup-simplify]: Simplify -1.0 into -1.0 3.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.548 * [backup-simplify]: Simplify (- 0) into 0 3.549 * [backup-simplify]: Simplify (+ 0 0) into 0 3.558 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 3.558 * [backup-simplify]: Simplify -0.5 into -0.5 3.559 * [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)))) 3.559 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 3.559 * [backup-simplify]: Simplify (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) into (- (pow (log (+ N 1.0)) 2) (pow (log N) 2)) 3.559 * [approximate]: Taking taylor expansion of (- (pow (log (+ N 1.0)) 2) (pow (log N) 2)) in (N) around 0 3.559 * [taylor]: Taking taylor expansion of (- (pow (log (+ N 1.0)) 2) (pow (log N) 2)) in N 3.559 * [taylor]: Taking taylor expansion of (pow (log (+ N 1.0)) 2) in N 3.559 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 3.559 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.559 * [taylor]: Taking taylor expansion of N in N 3.559 * [backup-simplify]: Simplify 0 into 0 3.559 * [backup-simplify]: Simplify 1 into 1 3.559 * [taylor]: Taking taylor expansion of 1.0 in N 3.559 * [backup-simplify]: Simplify 1.0 into 1.0 3.560 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.560 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.560 * [taylor]: Taking taylor expansion of (pow (log N) 2) in N 3.560 * [taylor]: Taking taylor expansion of (log N) in N 3.560 * [taylor]: Taking taylor expansion of N in N 3.560 * [backup-simplify]: Simplify 0 into 0 3.561 * [backup-simplify]: Simplify 1 into 1 3.561 * [backup-simplify]: Simplify (log 1) into 0 3.561 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.561 * [taylor]: Taking taylor expansion of (- (pow (log (+ N 1.0)) 2) (pow (log N) 2)) in N 3.561 * [taylor]: Taking taylor expansion of (pow (log (+ N 1.0)) 2) in N 3.561 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 3.561 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.562 * [taylor]: Taking taylor expansion of N in N 3.562 * [backup-simplify]: Simplify 0 into 0 3.562 * [backup-simplify]: Simplify 1 into 1 3.562 * [taylor]: Taking taylor expansion of 1.0 in N 3.562 * [backup-simplify]: Simplify 1.0 into 1.0 3.562 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.562 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.563 * [taylor]: Taking taylor expansion of (pow (log N) 2) in N 3.563 * [taylor]: Taking taylor expansion of (log N) in N 3.563 * [taylor]: Taking taylor expansion of N in N 3.563 * [backup-simplify]: Simplify 0 into 0 3.563 * [backup-simplify]: Simplify 1 into 1 3.563 * [backup-simplify]: Simplify (log 1) into 0 3.563 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.565 * [backup-simplify]: Simplify (* (log 1.0) (log 1.0)) into (pow (log 1.0) 2) 3.565 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.566 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.566 * [backup-simplify]: Simplify (* (log N) (log N)) into (pow (log N) 2) 3.566 * [backup-simplify]: Simplify (- (pow (log N) 2)) into (- (pow (log N) 2)) 3.567 * [backup-simplify]: Simplify (+ (pow (log 1.0) 2) (- (pow (log N) 2))) into (- (pow (log 1.0) 2) (pow (log N) 2)) 3.568 * [backup-simplify]: Simplify (- (pow (log 1.0) 2) (pow (log N) 2)) into (- (pow (log 1.0) 2) (pow (log N) 2)) 3.569 * [backup-simplify]: Simplify (+ 1 0) into 1 3.574 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 3.577 * [backup-simplify]: Simplify (+ (* (log 1.0) 1.0) (* 1.0 (log 1.0))) into (* 2.0 (log 1.0)) 3.577 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.578 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.579 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.579 * [backup-simplify]: Simplify (+ (* (log N) 0) (* 0 (log N))) into 0 3.579 * [backup-simplify]: Simplify (- 0) into 0 3.581 * [backup-simplify]: Simplify (+ (* 2.0 (log 1.0)) 0) into (* 2.0 (log 1.0)) 3.582 * [backup-simplify]: Simplify (* 2.0 (log 1.0)) into (* 2.0 (log 1.0)) 3.582 * [backup-simplify]: Simplify (+ 0 0) into 0 3.589 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 3.593 * [backup-simplify]: Simplify (+ (* (log 1.0) (/ -1/2 (pow 1.0 2))) (+ (* 1.0 1.0) (* (/ -1/2 (pow 1.0 2)) (log 1.0)))) into (- 1.0 (/ (log 1.0) (pow 1.0 2))) 3.593 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.595 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.595 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.595 * [backup-simplify]: Simplify (+ (* (log N) 0) (+ (* 0 0) (* 0 (log N)))) into 0 3.596 * [backup-simplify]: Simplify (- 0) into 0 3.598 * [backup-simplify]: Simplify (+ (- 1.0 (/ (log 1.0) (pow 1.0 2))) 0) into (- 1.0 (/ (log 1.0) (pow 1.0 2))) 3.599 * [backup-simplify]: Simplify (- 1.0 (/ (log 1.0) (pow 1.0 2))) into (- 1.0 (/ (log 1.0) (pow 1.0 2))) 3.602 * [backup-simplify]: Simplify (+ (* (- 1.0 (/ (log 1.0) (pow 1.0 2))) (pow N 2)) (+ (* (* 2.0 (log 1.0)) N) (- (pow (log 1.0) 2) (pow (log N) 2)))) into (- (+ (* 1.0 (pow N 2)) (+ (* 2.0 (* N (log 1.0))) (pow (log 1.0) 2))) (+ (pow (log N) 2) (/ (* (pow N 2) (log 1.0)) (pow 1.0 2)))) 3.602 * [backup-simplify]: Simplify (- (* (log (+ (/ 1 N) 1.0)) (log (+ (/ 1 N) 1.0))) (* (log (/ 1 N)) (log (/ 1 N)))) into (- (pow (log (+ (/ 1 N) 1.0)) 2) (pow (log (/ 1 N)) 2)) 3.602 * [approximate]: Taking taylor expansion of (- (pow (log (+ (/ 1 N) 1.0)) 2) (pow (log (/ 1 N)) 2)) in (N) around 0 3.602 * [taylor]: Taking taylor expansion of (- (pow (log (+ (/ 1 N) 1.0)) 2) (pow (log (/ 1 N)) 2)) in N 3.602 * [taylor]: Taking taylor expansion of (pow (log (+ (/ 1 N) 1.0)) 2) in N 3.602 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 3.602 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.602 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.602 * [taylor]: Taking taylor expansion of N in N 3.602 * [backup-simplify]: Simplify 0 into 0 3.602 * [backup-simplify]: Simplify 1 into 1 3.602 * [backup-simplify]: Simplify (/ 1 1) into 1 3.602 * [taylor]: Taking taylor expansion of 1.0 in N 3.602 * [backup-simplify]: Simplify 1.0 into 1.0 3.603 * [backup-simplify]: Simplify (+ 1 0) into 1 3.603 * [backup-simplify]: Simplify (log 1) into 0 3.603 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.603 * [taylor]: Taking taylor expansion of (pow (log (/ 1 N)) 2) in N 3.603 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.603 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.603 * [taylor]: Taking taylor expansion of N in N 3.603 * [backup-simplify]: Simplify 0 into 0 3.603 * [backup-simplify]: Simplify 1 into 1 3.604 * [backup-simplify]: Simplify (/ 1 1) into 1 3.604 * [backup-simplify]: Simplify (log 1) into 0 3.604 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.604 * [taylor]: Taking taylor expansion of (- (pow (log (+ (/ 1 N) 1.0)) 2) (pow (log (/ 1 N)) 2)) in N 3.604 * [taylor]: Taking taylor expansion of (pow (log (+ (/ 1 N) 1.0)) 2) in N 3.604 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 3.604 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.604 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.604 * [taylor]: Taking taylor expansion of N in N 3.604 * [backup-simplify]: Simplify 0 into 0 3.604 * [backup-simplify]: Simplify 1 into 1 3.604 * [backup-simplify]: Simplify (/ 1 1) into 1 3.605 * [taylor]: Taking taylor expansion of 1.0 in N 3.605 * [backup-simplify]: Simplify 1.0 into 1.0 3.605 * [backup-simplify]: Simplify (+ 1 0) into 1 3.605 * [backup-simplify]: Simplify (log 1) into 0 3.605 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.605 * [taylor]: Taking taylor expansion of (pow (log (/ 1 N)) 2) in N 3.605 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.605 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.605 * [taylor]: Taking taylor expansion of N in N 3.605 * [backup-simplify]: Simplify 0 into 0 3.605 * [backup-simplify]: Simplify 1 into 1 3.606 * [backup-simplify]: Simplify (/ 1 1) into 1 3.606 * [backup-simplify]: Simplify (log 1) into 0 3.606 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.606 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.607 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.607 * [backup-simplify]: Simplify (* (- (log N)) (- (log N))) into (pow (log N) 2) 3.607 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.607 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.607 * [backup-simplify]: Simplify (* (- (log N)) (- (log N))) into (pow (log N) 2) 3.608 * [backup-simplify]: Simplify (- (pow (log N) 2)) into (- (pow (log N) 2)) 3.608 * [backup-simplify]: Simplify (+ (pow (log N) 2) (- (pow (log N) 2))) into 0 3.608 * [backup-simplify]: Simplify 0 into 0 3.608 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.609 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.612 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 3.613 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.613 * [backup-simplify]: Simplify (+ (* (- (log N)) 1.0) (* 1.0 (- (log N)))) into (- (* 2.0 (log N))) 3.613 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.615 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.615 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.616 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (* 0 (- (log N)))) into 0 3.616 * [backup-simplify]: Simplify (- 0) into 0 3.616 * [backup-simplify]: Simplify (+ (- (* 2.0 (log N))) 0) into (- (* 2.0 (log N))) 3.616 * [backup-simplify]: Simplify (- (* 2.0 (log N))) into (- (* 2.0 (log N))) 3.617 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.618 * [backup-simplify]: Simplify (+ 0 0) into 0 3.630 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 3.630 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.631 * [backup-simplify]: Simplify (+ (* (- (log N)) -0.5) (+ (* 1.0 1.0) (* -0.5 (- (log N))))) into (+ 1.0 (* 1.0 (log N))) 3.632 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.636 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.637 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.638 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 3.638 * [backup-simplify]: Simplify (- 0) into 0 3.638 * [backup-simplify]: Simplify (+ (+ 1.0 (* 1.0 (log N))) 0) into (+ 1.0 (* 1.0 (log N))) 3.638 * [backup-simplify]: Simplify (+ 1.0 (* 1.0 (log N))) into (+ (* 1.0 (log N)) 1.0) 3.639 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.641 * [backup-simplify]: Simplify (+ 0 0) into 0 3.656 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 3.657 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.657 * [backup-simplify]: Simplify (+ (* (- (log N)) 0.3333333333333333) (+ (* 1.0 -0.5) (+ (* -0.5 1.0) (* 0.3333333333333333 (- (log N)))))) into (- (+ 1.0 (* 0.6666666666666666 (log N)))) 3.658 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.661 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 3.661 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.662 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 3.662 * [backup-simplify]: Simplify (- 0) into 0 3.662 * [backup-simplify]: Simplify (+ (- (+ 1.0 (* 0.6666666666666666 (log N)))) 0) into (- (+ (* 0.6666666666666666 (log N)) 1.0)) 3.662 * [backup-simplify]: Simplify (- (+ (* 0.6666666666666666 (log N)) 1.0)) into (- (+ (* 0.6666666666666666 (log N)) 1.0)) 3.663 * [backup-simplify]: Simplify (+ (* (- (+ (* 0.6666666666666666 (log (/ 1 N))) 1.0)) (pow (/ 1 N) 3)) (+ (* (+ (* 1.0 (log (/ 1 N))) 1.0) (pow (/ 1 N) 2)) (* (- (* 2.0 (log (/ 1 N)))) (/ 1 N)))) into (- (+ (* 1.0 (/ 1 (pow N 2))) (* 1.0 (/ (log (/ 1 N)) (pow N 2)))) (+ (* 0.6666666666666666 (/ (log (/ 1 N)) (pow N 3))) (+ (* 1.0 (/ 1 (pow N 3))) (* 2.0 (/ (log (/ 1 N)) N))))) 3.663 * [backup-simplify]: Simplify (- (* (log (+ (/ 1 (- N)) 1.0)) (log (+ (/ 1 (- N)) 1.0))) (* (log (/ 1 (- N))) (log (/ 1 (- N))))) into (- (pow (log (- 1.0 (/ 1 N))) 2) (pow (log (/ -1 N)) 2)) 3.663 * [approximate]: Taking taylor expansion of (- (pow (log (- 1.0 (/ 1 N))) 2) (pow (log (/ -1 N)) 2)) in (N) around 0 3.663 * [taylor]: Taking taylor expansion of (- (pow (log (- 1.0 (/ 1 N))) 2) (pow (log (/ -1 N)) 2)) in N 3.663 * [taylor]: Taking taylor expansion of (pow (log (- 1.0 (/ 1 N))) 2) in N 3.663 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 3.663 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.663 * [taylor]: Taking taylor expansion of 1.0 in N 3.663 * [backup-simplify]: Simplify 1.0 into 1.0 3.663 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.663 * [taylor]: Taking taylor expansion of N in N 3.663 * [backup-simplify]: Simplify 0 into 0 3.663 * [backup-simplify]: Simplify 1 into 1 3.664 * [backup-simplify]: Simplify (/ 1 1) into 1 3.664 * [backup-simplify]: Simplify (- 1) into -1 3.664 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.665 * [backup-simplify]: Simplify (log -1) into (log -1) 3.665 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.665 * [taylor]: Taking taylor expansion of (pow (log (/ -1 N)) 2) in N 3.665 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 3.665 * [taylor]: Taking taylor expansion of (/ -1 N) in N 3.665 * [taylor]: Taking taylor expansion of -1 in N 3.665 * [backup-simplify]: Simplify -1 into -1 3.665 * [taylor]: Taking taylor expansion of N in N 3.665 * [backup-simplify]: Simplify 0 into 0 3.665 * [backup-simplify]: Simplify 1 into 1 3.666 * [backup-simplify]: Simplify (/ -1 1) into -1 3.666 * [backup-simplify]: Simplify (log -1) into (log -1) 3.667 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.667 * [taylor]: Taking taylor expansion of (- (pow (log (- 1.0 (/ 1 N))) 2) (pow (log (/ -1 N)) 2)) in N 3.667 * [taylor]: Taking taylor expansion of (pow (log (- 1.0 (/ 1 N))) 2) in N 3.667 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 3.667 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.667 * [taylor]: Taking taylor expansion of 1.0 in N 3.667 * [backup-simplify]: Simplify 1.0 into 1.0 3.667 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.667 * [taylor]: Taking taylor expansion of N in N 3.667 * [backup-simplify]: Simplify 0 into 0 3.667 * [backup-simplify]: Simplify 1 into 1 3.667 * [backup-simplify]: Simplify (/ 1 1) into 1 3.668 * [backup-simplify]: Simplify (- 1) into -1 3.668 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.669 * [backup-simplify]: Simplify (log -1) into (log -1) 3.670 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.670 * [taylor]: Taking taylor expansion of (pow (log (/ -1 N)) 2) in N 3.670 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 3.670 * [taylor]: Taking taylor expansion of (/ -1 N) in N 3.670 * [taylor]: Taking taylor expansion of -1 in N 3.670 * [backup-simplify]: Simplify -1 into -1 3.670 * [taylor]: Taking taylor expansion of N in N 3.670 * [backup-simplify]: Simplify 0 into 0 3.670 * [backup-simplify]: Simplify 1 into 1 3.670 * [backup-simplify]: Simplify (/ -1 1) into -1 3.670 * [backup-simplify]: Simplify (log -1) into (log -1) 3.671 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.675 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.675 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.676 * [backup-simplify]: Simplify (* (- (log -1) (log N)) (- (log -1) (log N))) into (pow (- (log -1) (log N)) 2) 3.677 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.677 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.678 * [backup-simplify]: Simplify (* (- (log -1) (log N)) (- (log -1) (log N))) into (pow (- (log -1) (log N)) 2) 3.678 * [backup-simplify]: Simplify (- (pow (- (log -1) (log N)) 2)) into (- (* 2 (* (log -1) (log N))) (+ (pow (log N) 2) (pow (log -1) 2))) 3.679 * [backup-simplify]: Simplify (+ (pow (- (log -1) (log N)) 2) (- (* 2 (* (log -1) (log N))) (+ (pow (log N) 2) (pow (log -1) 2)))) into 0 3.679 * [backup-simplify]: Simplify 0 into 0 3.680 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.681 * [backup-simplify]: Simplify (- 0) into 0 3.681 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.688 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 3.689 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.690 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) -1.0) (* -1.0 (- (log -1) (log N)))) into (- (* 2.0 (log N)) (* 2.0 (log -1))) 3.690 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.691 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.693 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 3.694 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.694 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (* 0 (- (log -1) (log N)))) into 0 3.695 * [backup-simplify]: Simplify (- 0) into 0 3.696 * [backup-simplify]: Simplify (+ (- (* 2.0 (log N)) (* 2.0 (log -1))) 0) into (- (* 2.0 (log N)) (* 2.0 (log -1))) 3.697 * [backup-simplify]: Simplify (- (* 2.0 (log N)) (* 2.0 (log -1))) into (- (* 2.0 (log N)) (* 2.0 (log -1))) 3.697 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.698 * [backup-simplify]: Simplify (- 0) into 0 3.698 * [backup-simplify]: Simplify (+ 0 0) into 0 3.704 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 3.705 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.706 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) -0.5) (+ (* -1.0 -1.0) (* -0.5 (- (log -1) (log N))))) into (- (+ 1.0 (* 1.0 (log N))) (* 1.0 (log -1))) 3.706 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.707 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.708 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 3.709 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.709 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))) into 0 3.710 * [backup-simplify]: Simplify (- 0) into 0 3.710 * [backup-simplify]: Simplify (+ (- (+ 1.0 (* 1.0 (log N))) (* 1.0 (log -1))) 0) into (- (+ (* 1.0 (log N)) 1.0) (* 1.0 (log -1))) 3.711 * [backup-simplify]: Simplify (- (+ (* 1.0 (log N)) 1.0) (* 1.0 (log -1))) into (- (+ (* 1.0 (log N)) 1.0) (* 1.0 (log -1))) 3.711 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.712 * [backup-simplify]: Simplify (- 0) into 0 3.712 * [backup-simplify]: Simplify (+ 0 0) into 0 3.723 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -0.3333333333333333 3.723 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.724 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) -0.3333333333333333) (+ (* -1.0 -0.5) (+ (* -0.5 -1.0) (* -0.3333333333333333 (- (log -1) (log N)))))) into (- (+ 1.0 (* 0.6666666666666666 (log N))) (* 0.6666666666666666 (log -1))) 3.725 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.725 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.728 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 3.729 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.730 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N)))))) into 0 3.730 * [backup-simplify]: Simplify (- 0) into 0 3.731 * [backup-simplify]: Simplify (+ (- (+ 1.0 (* 0.6666666666666666 (log N))) (* 0.6666666666666666 (log -1))) 0) into (- (+ (* 0.6666666666666666 (log N)) 1.0) (* 0.6666666666666666 (log -1))) 3.731 * [backup-simplify]: Simplify (- (+ (* 0.6666666666666666 (log N)) 1.0) (* 0.6666666666666666 (log -1))) into (- (+ (* 0.6666666666666666 (log N)) 1.0) (* 0.6666666666666666 (log -1))) 3.734 * [backup-simplify]: Simplify (+ (* (- (+ (* 0.6666666666666666 (log (/ 1 (- N)))) 1.0) (* 0.6666666666666666 (log -1))) (pow (/ 1 (- N)) 3)) (+ (* (- (+ (* 1.0 (log (/ 1 (- N)))) 1.0) (* 1.0 (log -1))) (pow (/ 1 (- N)) 2)) (* (- (* 2.0 (log (/ 1 (- N)))) (* 2.0 (log -1))) (/ 1 (- N))))) into (- (+ (* 2.0 (/ (log -1) N)) (+ (* 1.0 (/ 1 (pow N 2))) (+ (* 0.6666666666666666 (/ (log -1) (pow N 3))) (* 1.0 (/ (log (/ -1 N)) (pow N 2)))))) (+ (* 1.0 (/ 1 (pow N 3))) (+ (* 0.6666666666666666 (/ (log (/ -1 N)) (pow N 3))) (+ (* 2.0 (/ (log (/ -1 N)) N)) (* 1.0 (/ (log -1) (pow N 2))))))) 3.734 * * * [progress]: simplifying candidates 3.735 * [simplify]: Simplifying: (expm1 (log (+ N 1.0))) (log1p (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))) (expm1 (log (+ N 1.0))) (log1p (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))) (expm1 (log (+ N 1.0))) (log1p (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))) (fma (log (+ N 1.0)) (log (+ N 1.0)) (- (* (log N) (log N)))) (fma (- (log N)) (log N) (* (log N) (log N))) (expm1 (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N)))) (log1p (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N)))) (- (* (log N) (log N))) (/ (exp (* (log (+ N 1.0)) (log (+ N 1.0)))) (exp (* (log N) (log N)))) (log (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N)))) (exp (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N)))) (* (cbrt (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N)))) (cbrt (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))))) (cbrt (- (* (log (+ N 1.0)) (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 1.0))) (* (log N) (log N)))) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N)))) (sqrt (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N)))) (sqrt (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N)))) (- (pow (* (log (+ N 1.0)) (log (+ N 1.0))) 3) (pow (* (log N) (log N)) 3)) (+ (* (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log (+ N 1.0)) (log (+ N 1.0)))) (+ (* (* (log N) (log N)) (* (log N) (log N))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))))) (- (* (log N) (log N))) (- (* (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log (+ N 1.0)) (log (+ N 1.0)))) (* (* (log N) (log N)) (* (log N) (log N)))) (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log (* (cbrt N) (cbrt N))))) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log (sqrt N)))) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log 1))) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log (* (cbrt N) (cbrt N))) (log N))) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log (sqrt N)) (log N))) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log 1) (log N))) (- (* (log (+ N 1.0)) (log (cbrt (+ N 1.0)))) (* (log N) (log N))) (- (* (log (+ N 1.0)) (log (sqrt (+ 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 1.0))) (* (log N) (log N))) (- (* (log (cbrt (+ N 1.0))) (log (+ N 1.0))) (* (log N) (log N))) (- (* (log (sqrt (+ N 1.0))) (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 1.0))) (* (log N) (log N))) (- (* (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)))) (- (* 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 (pow N 2)) (+ (* 2.0 (* N (log 1.0))) (pow (log 1.0) 2))) (+ (pow (log N) 2) (/ (* (pow N 2) (log 1.0)) (pow 1.0 2)))) (- (+ (* 1.0 (/ 1 (pow N 2))) (* 1.0 (/ (log (/ 1 N)) (pow N 2)))) (+ (* 0.6666666666666666 (/ (log (/ 1 N)) (pow N 3))) (+ (* 1.0 (/ 1 (pow N 3))) (* 2.0 (/ (log (/ 1 N)) N))))) (- (+ (* 2.0 (/ (log -1) N)) (+ (* 1.0 (/ 1 (pow N 2))) (+ (* 0.6666666666666666 (/ (log -1) (pow N 3))) (* 1.0 (/ (log (/ -1 N)) (pow N 2)))))) (+ (* 1.0 (/ 1 (pow N 3))) (+ (* 0.6666666666666666 (/ (log (/ -1 N)) (pow N 3))) (+ (* 2.0 (/ (log (/ -1 N)) N)) (* 1.0 (/ (log -1) (pow N 2))))))) 3.737 * * [simplify]: Extracting # 0 : cost 0 3.737 * * [simplify]: Extracting # 1 : cost 0 3.738 * * [simplify]: Extracting # 2 : cost 0 3.738 * * [simplify]: Extracting # 3 : cost 0 3.738 * * [simplify]: Extracting # 4 : cost 0 3.738 * * [simplify]: Extracting # 5 : cost 0 3.738 * * [simplify]: Extracting # 6 : cost 0 3.738 * * [simplify]: Extracting # 7 : cost 0 3.739 * * [simplify]: Extracting # 8 : cost 0 3.739 * * [simplify]: Extracting # 9 : cost 0 3.739 * * [simplify]: Extracting # 10 : cost 0 3.739 * * [simplify]: iteration 0 : 162 enodes (cost 1317 ) 3.777 * * [simplify]: Extracting # 0 : cost 0 3.778 * * [simplify]: Extracting # 1 : cost 0 3.778 * * [simplify]: Extracting # 2 : cost 0 3.779 * * [simplify]: Extracting # 3 : cost 0 3.779 * * [simplify]: Extracting # 4 : cost 0 3.780 * * [simplify]: iteration 1 : 430 enodes (cost 1220 ) 4.022 * * [simplify]: Extracting # 0 : cost 0 4.026 * * [simplify]: Extracting # 1 : cost 0 4.036 * * [simplify]: Extracting # 2 : cost 0 4.040 * * [simplify]: Extracting # 3 : cost 0 4.044 * * [simplify]: Extracting # 4 : cost 0 4.047 * * [simplify]: iteration 2 : 1714 enodes (cost 1094 ) 4.915 * * [simplify]: Extracting # 0 : cost 0 4.927 * * [simplify]: Extracting # 1 : cost 0 4.948 * * [simplify]: Extracting # 2 : cost 0 4.960 * * [simplify]: Extracting # 3 : cost 0 4.974 * * [simplify]: Extracting # 4 : cost 0 4.986 * * [simplify]: iteration done: 5002 enodes (cost 1080 ) 4.987 * [simplify]: Simplified to: (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (* 2 (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (fma N N (* 1.0 (- 1.0 N)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (* 2 (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (fma N N (* 1.0 (- 1.0 N)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (* 2 (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (fma N N (* 1.0 (- 1.0 N)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (pow (log N) 2)) (* (log N) (+ (- (log N)) (log N))) (expm1 (- (* (log (+ N 1.0)) (log (+ N 1.0))) (pow (log N) 2))) (log1p (- (* (log (+ N 1.0)) (log (+ N 1.0))) (pow (log N) 2))) (- (pow (log N) 2)) (/ (pow (+ N 1.0) (log (+ N 1.0))) (pow N (log N))) (log (- (* (log (+ N 1.0)) (log (+ N 1.0))) (pow (log N) 2))) (/ (pow (+ N 1.0) (log (+ N 1.0))) (pow N (log N))) (* (cbrt (- (* (log (+ N 1.0)) (log (+ N 1.0))) (pow (log N) 2))) (cbrt (- (* (log (+ N 1.0)) (log (+ N 1.0))) (pow (log N) 2)))) (cbrt (- (* (log (+ N 1.0)) (log (+ N 1.0))) (pow (log N) 2))) (pow (- (* (log (+ N 1.0)) (log (+ N 1.0))) (pow (log N) 2)) 3) (sqrt (- (* (log (+ N 1.0)) (log (+ N 1.0))) (pow (log N) 2))) (sqrt (- (* (log (+ N 1.0)) (log (+ N 1.0))) (pow (log N) 2))) (- (pow (log (+ N 1.0)) 6) (pow (log N) 6)) (fma (pow (log N) 2) (fma (log (+ N 1.0)) (log (+ N 1.0)) (pow (log N) 2)) (pow (log (+ N 1.0)) (+ 3 1))) (- (pow (log N) 2)) (- (pow (log (+ N 1.0)) (+ 3 1)) (pow (log N) 4)) (fma (log (+ N 1.0)) (log (+ N 1.0)) (pow (log N) 2)) (+ (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (* 2 (log (cbrt N))) (log N))) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log (sqrt N)) (log N))) (* (log (+ N 1.0)) (log (+ N 1.0))) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (* 2 (log (cbrt N))) (log N))) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log (sqrt N)) (log N))) (* (log (+ N 1.0)) (log (+ N 1.0))) (- (* (log (cbrt (+ N 1.0))) (log (+ N 1.0))) (pow (log N) 2)) (- (* (log (sqrt (+ N 1.0))) (log (+ N 1.0))) (pow (log N) 2)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (pow (log N) 2)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (pow (log N) 2)) (- (* (log (cbrt (+ N 1.0))) (log (+ N 1.0))) (pow (log N) 2)) (- (* (log (sqrt (+ N 1.0))) (log (+ N 1.0))) (pow (log N) 2)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (pow (log N) 2)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (pow (log N) 2)) (- (pow (log N) 2)) (fma (/ (pow N 2) (pow 1.0 2)) -1/2 (fma 1.0 N (log 1.0))) (- (/ 1.0 N) (- (/ 0.5 (* N N)) (log N))) (- (- (+ (/ 1.0 N) (log -1)) (log (/ -1 N))) (/ 0.5 (* N N))) (fma (/ (pow N 2) (pow 1.0 2)) -1/2 (fma 1.0 N (log 1.0))) (- (/ 1.0 N) (- (/ 0.5 (* N N)) (log N))) (- (- (+ (/ 1.0 N) (log -1)) (log (/ -1 N))) (/ 0.5 (* N N))) (fma (/ (pow N 2) (pow 1.0 2)) -1/2 (fma 1.0 N (log 1.0))) (- (/ 1.0 N) (- (/ 0.5 (* N N)) (log N))) (- (- (+ (/ 1.0 N) (log -1)) (log (/ -1 N))) (/ 0.5 (* N N))) (fma (* 1.0 N) N (fma (log 1.0) (fma 2.0 N (log 1.0)) (- (fma (/ (log 1.0) 1.0) (/ (* N N) 1.0) (pow (log N) 2))))) (- (fma (/ (- (log N)) (* N N)) 1.0 (/ 1.0 (* N N))) (fma (/ (- (log N)) (pow N 3)) 0.6666666666666666 (fma 2.0 (/ (- (log N)) N) (/ 1.0 (pow N 3))))) (- (fma (/ (log -1) N) 2.0 (fma (/ (log -1) (pow N 3)) 0.6666666666666666 (fma (/ 1.0 N) (/ (log (/ -1 N)) N) (/ 1.0 (* N N))))) (+ (/ 1.0 (pow N 3)) (fma 0.6666666666666666 (/ (log (/ -1 N)) (pow N 3)) (fma 2.0 (/ (log (/ -1 N)) N) (* 1.0 (/ (log -1) (pow N 2))))))) 4.989 * * * [progress]: adding candidates to table 5.422 * * [progress]: iteration 4 / 4 5.423 * * * [progress]: picking best candidate 5.431 * * * * [pick]: Picked # 5.431 * * * [progress]: localizing error 5.464 * * * [progress]: generating rewritten candidates 5.464 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 5.473 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1 2) 5.483 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 1 1) 5.493 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 1 1 2) 5.505 * * * [progress]: generating series expansions 5.505 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 5.506 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 5.506 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 5.506 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 5.506 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.506 * [taylor]: Taking taylor expansion of N in N 5.506 * [backup-simplify]: Simplify 0 into 0 5.506 * [backup-simplify]: Simplify 1 into 1 5.506 * [taylor]: Taking taylor expansion of 1.0 in N 5.506 * [backup-simplify]: Simplify 1.0 into 1.0 5.507 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.507 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.507 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 5.507 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.507 * [taylor]: Taking taylor expansion of N in N 5.507 * [backup-simplify]: Simplify 0 into 0 5.507 * [backup-simplify]: Simplify 1 into 1 5.507 * [taylor]: Taking taylor expansion of 1.0 in N 5.507 * [backup-simplify]: Simplify 1.0 into 1.0 5.508 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.508 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.509 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.509 * [backup-simplify]: Simplify (+ 1 0) into 1 5.514 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 5.514 * [backup-simplify]: Simplify 1.0 into 1.0 5.514 * [backup-simplify]: Simplify (+ 0 0) into 0 5.524 * [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)) 5.525 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 5.527 * [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)))) 5.527 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 5.527 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 5.527 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 5.527 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.527 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.527 * [taylor]: Taking taylor expansion of N in N 5.527 * [backup-simplify]: Simplify 0 into 0 5.527 * [backup-simplify]: Simplify 1 into 1 5.528 * [backup-simplify]: Simplify (/ 1 1) into 1 5.528 * [taylor]: Taking taylor expansion of 1.0 in N 5.528 * [backup-simplify]: Simplify 1.0 into 1.0 5.528 * [backup-simplify]: Simplify (+ 1 0) into 1 5.529 * [backup-simplify]: Simplify (log 1) into 0 5.529 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 5.529 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.529 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.529 * [taylor]: Taking taylor expansion of N in N 5.529 * [backup-simplify]: Simplify 0 into 0 5.529 * [backup-simplify]: Simplify 1 into 1 5.529 * [backup-simplify]: Simplify (/ 1 1) into 1 5.529 * [taylor]: Taking taylor expansion of 1.0 in N 5.529 * [backup-simplify]: Simplify 1.0 into 1.0 5.530 * [backup-simplify]: Simplify (+ 1 0) into 1 5.530 * [backup-simplify]: Simplify (log 1) into 0 5.530 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.530 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 5.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.532 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.537 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 5.538 * [backup-simplify]: Simplify 1.0 into 1.0 5.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.539 * [backup-simplify]: Simplify (+ 0 0) into 0 5.557 * [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 5.557 * [backup-simplify]: Simplify -0.5 into -0.5 5.558 * [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)))) 5.558 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 5.558 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 5.558 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 5.558 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.558 * [taylor]: Taking taylor expansion of 1.0 in N 5.558 * [backup-simplify]: Simplify 1.0 into 1.0 5.558 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.558 * [taylor]: Taking taylor expansion of N in N 5.558 * [backup-simplify]: Simplify 0 into 0 5.558 * [backup-simplify]: Simplify 1 into 1 5.559 * [backup-simplify]: Simplify (/ 1 1) into 1 5.559 * [backup-simplify]: Simplify (- 1) into -1 5.559 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.560 * [backup-simplify]: Simplify (log -1) into (log -1) 5.560 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 5.560 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.560 * [taylor]: Taking taylor expansion of 1.0 in N 5.560 * [backup-simplify]: Simplify 1.0 into 1.0 5.560 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.560 * [taylor]: Taking taylor expansion of N in N 5.560 * [backup-simplify]: Simplify 0 into 0 5.560 * [backup-simplify]: Simplify 1 into 1 5.560 * [backup-simplify]: Simplify (/ 1 1) into 1 5.561 * [backup-simplify]: Simplify (- 1) into -1 5.561 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.561 * [backup-simplify]: Simplify (log -1) into (log -1) 5.562 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.563 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 5.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.564 * [backup-simplify]: Simplify (- 0) into 0 5.564 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.571 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 5.571 * [backup-simplify]: Simplify -1.0 into -1.0 5.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.573 * [backup-simplify]: Simplify (- 0) into 0 5.573 * [backup-simplify]: Simplify (+ 0 0) into 0 5.584 * [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 5.585 * [backup-simplify]: Simplify -0.5 into -0.5 5.585 * [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)))) 5.586 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1 2) 5.586 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 5.586 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 5.586 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 5.586 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.586 * [taylor]: Taking taylor expansion of N in N 5.586 * [backup-simplify]: Simplify 0 into 0 5.586 * [backup-simplify]: Simplify 1 into 1 5.586 * [taylor]: Taking taylor expansion of 1.0 in N 5.586 * [backup-simplify]: Simplify 1.0 into 1.0 5.586 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.587 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.587 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 5.587 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.587 * [taylor]: Taking taylor expansion of N in N 5.587 * [backup-simplify]: Simplify 0 into 0 5.587 * [backup-simplify]: Simplify 1 into 1 5.587 * [taylor]: Taking taylor expansion of 1.0 in N 5.587 * [backup-simplify]: Simplify 1.0 into 1.0 5.588 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.588 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.588 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.589 * [backup-simplify]: Simplify (+ 1 0) into 1 5.594 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 5.595 * [backup-simplify]: Simplify 1.0 into 1.0 5.595 * [backup-simplify]: Simplify (+ 0 0) into 0 5.606 * [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)) 5.608 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 5.610 * [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)))) 5.610 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 5.610 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 5.610 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 5.610 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.610 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.610 * [taylor]: Taking taylor expansion of N in N 5.610 * [backup-simplify]: Simplify 0 into 0 5.610 * [backup-simplify]: Simplify 1 into 1 5.611 * [backup-simplify]: Simplify (/ 1 1) into 1 5.611 * [taylor]: Taking taylor expansion of 1.0 in N 5.611 * [backup-simplify]: Simplify 1.0 into 1.0 5.612 * [backup-simplify]: Simplify (+ 1 0) into 1 5.612 * [backup-simplify]: Simplify (log 1) into 0 5.612 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 5.612 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.612 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.612 * [taylor]: Taking taylor expansion of N in N 5.612 * [backup-simplify]: Simplify 0 into 0 5.612 * [backup-simplify]: Simplify 1 into 1 5.613 * [backup-simplify]: Simplify (/ 1 1) into 1 5.613 * [taylor]: Taking taylor expansion of 1.0 in N 5.613 * [backup-simplify]: Simplify 1.0 into 1.0 5.613 * [backup-simplify]: Simplify (+ 1 0) into 1 5.614 * [backup-simplify]: Simplify (log 1) into 0 5.615 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.615 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 5.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.616 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.622 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 5.623 * [backup-simplify]: Simplify 1.0 into 1.0 5.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.624 * [backup-simplify]: Simplify (+ 0 0) into 0 5.638 * [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 5.638 * [backup-simplify]: Simplify -0.5 into -0.5 5.639 * [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)))) 5.639 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 5.639 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 5.639 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 5.639 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.639 * [taylor]: Taking taylor expansion of 1.0 in N 5.639 * [backup-simplify]: Simplify 1.0 into 1.0 5.639 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.639 * [taylor]: Taking taylor expansion of N in N 5.639 * [backup-simplify]: Simplify 0 into 0 5.639 * [backup-simplify]: Simplify 1 into 1 5.640 * [backup-simplify]: Simplify (/ 1 1) into 1 5.640 * [backup-simplify]: Simplify (- 1) into -1 5.641 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.641 * [backup-simplify]: Simplify (log -1) into (log -1) 5.641 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 5.641 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.641 * [taylor]: Taking taylor expansion of 1.0 in N 5.641 * [backup-simplify]: Simplify 1.0 into 1.0 5.641 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.641 * [taylor]: Taking taylor expansion of N in N 5.641 * [backup-simplify]: Simplify 0 into 0 5.641 * [backup-simplify]: Simplify 1 into 1 5.642 * [backup-simplify]: Simplify (/ 1 1) into 1 5.642 * [backup-simplify]: Simplify (- 1) into -1 5.642 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.643 * [backup-simplify]: Simplify (log -1) into (log -1) 5.644 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.644 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 5.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.645 * [backup-simplify]: Simplify (- 0) into 0 5.646 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.652 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 5.652 * [backup-simplify]: Simplify -1.0 into -1.0 5.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.654 * [backup-simplify]: Simplify (- 0) into 0 5.654 * [backup-simplify]: Simplify (+ 0 0) into 0 5.665 * [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 5.665 * [backup-simplify]: Simplify -0.5 into -0.5 5.666 * [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)))) 5.666 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 1 1) 5.666 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 5.666 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 5.667 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 5.667 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.667 * [taylor]: Taking taylor expansion of N in N 5.667 * [backup-simplify]: Simplify 0 into 0 5.667 * [backup-simplify]: Simplify 1 into 1 5.667 * [taylor]: Taking taylor expansion of 1.0 in N 5.667 * [backup-simplify]: Simplify 1.0 into 1.0 5.667 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.667 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.668 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 5.668 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.668 * [taylor]: Taking taylor expansion of N in N 5.668 * [backup-simplify]: Simplify 0 into 0 5.668 * [backup-simplify]: Simplify 1 into 1 5.668 * [taylor]: Taking taylor expansion of 1.0 in N 5.668 * [backup-simplify]: Simplify 1.0 into 1.0 5.668 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.669 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.669 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.669 * [backup-simplify]: Simplify (+ 1 0) into 1 5.675 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 5.675 * [backup-simplify]: Simplify 1.0 into 1.0 5.675 * [backup-simplify]: Simplify (+ 0 0) into 0 5.686 * [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)) 5.687 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 5.689 * [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)))) 5.689 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 5.689 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 5.689 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 5.689 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.689 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.689 * [taylor]: Taking taylor expansion of N in N 5.689 * [backup-simplify]: Simplify 0 into 0 5.689 * [backup-simplify]: Simplify 1 into 1 5.689 * [backup-simplify]: Simplify (/ 1 1) into 1 5.689 * [taylor]: Taking taylor expansion of 1.0 in N 5.689 * [backup-simplify]: Simplify 1.0 into 1.0 5.690 * [backup-simplify]: Simplify (+ 1 0) into 1 5.690 * [backup-simplify]: Simplify (log 1) into 0 5.690 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 5.690 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.690 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.690 * [taylor]: Taking taylor expansion of N in N 5.690 * [backup-simplify]: Simplify 0 into 0 5.690 * [backup-simplify]: Simplify 1 into 1 5.691 * [backup-simplify]: Simplify (/ 1 1) into 1 5.691 * [taylor]: Taking taylor expansion of 1.0 in N 5.691 * [backup-simplify]: Simplify 1.0 into 1.0 5.691 * [backup-simplify]: Simplify (+ 1 0) into 1 5.692 * [backup-simplify]: Simplify (log 1) into 0 5.692 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.692 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 5.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.693 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.698 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 5.698 * [backup-simplify]: Simplify 1.0 into 1.0 5.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.699 * [backup-simplify]: Simplify (+ 0 0) into 0 5.711 * [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 5.711 * [backup-simplify]: Simplify -0.5 into -0.5 5.711 * [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)))) 5.711 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 5.711 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 5.711 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 5.711 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.711 * [taylor]: Taking taylor expansion of 1.0 in N 5.711 * [backup-simplify]: Simplify 1.0 into 1.0 5.711 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.712 * [taylor]: Taking taylor expansion of N in N 5.712 * [backup-simplify]: Simplify 0 into 0 5.712 * [backup-simplify]: Simplify 1 into 1 5.712 * [backup-simplify]: Simplify (/ 1 1) into 1 5.712 * [backup-simplify]: Simplify (- 1) into -1 5.712 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.713 * [backup-simplify]: Simplify (log -1) into (log -1) 5.713 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 5.713 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.713 * [taylor]: Taking taylor expansion of 1.0 in N 5.713 * [backup-simplify]: Simplify 1.0 into 1.0 5.713 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.713 * [taylor]: Taking taylor expansion of N in N 5.713 * [backup-simplify]: Simplify 0 into 0 5.713 * [backup-simplify]: Simplify 1 into 1 5.713 * [backup-simplify]: Simplify (/ 1 1) into 1 5.713 * [backup-simplify]: Simplify (- 1) into -1 5.713 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.714 * [backup-simplify]: Simplify (log -1) into (log -1) 5.714 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.714 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 5.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.715 * [backup-simplify]: Simplify (- 0) into 0 5.715 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.719 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 5.719 * [backup-simplify]: Simplify -1.0 into -1.0 5.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.720 * [backup-simplify]: Simplify (- 0) into 0 5.720 * [backup-simplify]: Simplify (+ 0 0) into 0 5.726 * [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 5.726 * [backup-simplify]: Simplify -0.5 into -0.5 5.727 * [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)))) 5.727 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 1 1 2) 5.727 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 5.727 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 5.727 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 5.727 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.727 * [taylor]: Taking taylor expansion of N in N 5.727 * [backup-simplify]: Simplify 0 into 0 5.727 * [backup-simplify]: Simplify 1 into 1 5.727 * [taylor]: Taking taylor expansion of 1.0 in N 5.727 * [backup-simplify]: Simplify 1.0 into 1.0 5.728 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.728 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.728 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 5.728 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.728 * [taylor]: Taking taylor expansion of N in N 5.728 * [backup-simplify]: Simplify 0 into 0 5.728 * [backup-simplify]: Simplify 1 into 1 5.728 * [taylor]: Taking taylor expansion of 1.0 in N 5.728 * [backup-simplify]: Simplify 1.0 into 1.0 5.728 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.729 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.729 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.729 * [backup-simplify]: Simplify (+ 1 0) into 1 5.732 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 5.732 * [backup-simplify]: Simplify 1.0 into 1.0 5.732 * [backup-simplify]: Simplify (+ 0 0) into 0 5.739 * [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)) 5.741 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 5.743 * [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)))) 5.743 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 5.743 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 5.743 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 5.743 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.743 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.743 * [taylor]: Taking taylor expansion of N in N 5.743 * [backup-simplify]: Simplify 0 into 0 5.743 * [backup-simplify]: Simplify 1 into 1 5.744 * [backup-simplify]: Simplify (/ 1 1) into 1 5.744 * [taylor]: Taking taylor expansion of 1.0 in N 5.744 * [backup-simplify]: Simplify 1.0 into 1.0 5.744 * [backup-simplify]: Simplify (+ 1 0) into 1 5.745 * [backup-simplify]: Simplify (log 1) into 0 5.745 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 5.745 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.745 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.745 * [taylor]: Taking taylor expansion of N in N 5.745 * [backup-simplify]: Simplify 0 into 0 5.745 * [backup-simplify]: Simplify 1 into 1 5.745 * [backup-simplify]: Simplify (/ 1 1) into 1 5.745 * [taylor]: Taking taylor expansion of 1.0 in N 5.745 * [backup-simplify]: Simplify 1.0 into 1.0 5.746 * [backup-simplify]: Simplify (+ 1 0) into 1 5.746 * [backup-simplify]: Simplify (log 1) into 0 5.747 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.747 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 5.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.748 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.754 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 5.754 * [backup-simplify]: Simplify 1.0 into 1.0 5.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.756 * [backup-simplify]: Simplify (+ 0 0) into 0 5.769 * [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 5.769 * [backup-simplify]: Simplify -0.5 into -0.5 5.770 * [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)))) 5.770 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 5.770 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 5.770 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 5.770 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.770 * [taylor]: Taking taylor expansion of 1.0 in N 5.770 * [backup-simplify]: Simplify 1.0 into 1.0 5.770 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.770 * [taylor]: Taking taylor expansion of N in N 5.770 * [backup-simplify]: Simplify 0 into 0 5.770 * [backup-simplify]: Simplify 1 into 1 5.771 * [backup-simplify]: Simplify (/ 1 1) into 1 5.771 * [backup-simplify]: Simplify (- 1) into -1 5.772 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.772 * [backup-simplify]: Simplify (log -1) into (log -1) 5.772 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 5.772 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.772 * [taylor]: Taking taylor expansion of 1.0 in N 5.772 * [backup-simplify]: Simplify 1.0 into 1.0 5.772 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.772 * [taylor]: Taking taylor expansion of N in N 5.773 * [backup-simplify]: Simplify 0 into 0 5.773 * [backup-simplify]: Simplify 1 into 1 5.773 * [backup-simplify]: Simplify (/ 1 1) into 1 5.773 * [backup-simplify]: Simplify (- 1) into -1 5.774 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.774 * [backup-simplify]: Simplify (log -1) into (log -1) 5.775 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.775 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 5.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.777 * [backup-simplify]: Simplify (- 0) into 0 5.777 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.784 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 5.784 * [backup-simplify]: Simplify -1.0 into -1.0 5.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.785 * [backup-simplify]: Simplify (- 0) into 0 5.785 * [backup-simplify]: Simplify (+ 0 0) into 0 5.791 * [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 5.791 * [backup-simplify]: Simplify -0.5 into -0.5 5.792 * [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)))) 5.792 * * * [progress]: simplifying candidates 5.793 * [simplify]: Simplifying: (expm1 (log (+ N 1.0))) (log1p (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))) (expm1 (log (+ N 1.0))) (log1p (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))) (expm1 (log (+ N 1.0))) (log1p (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))) (expm1 (log (+ N 1.0))) (log1p (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))) (- (+ (* 1.0 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)))) (- (+ (* 1.0 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)))) 5.794 * * [simplify]: Extracting # 0 : cost 0 5.794 * * [simplify]: Extracting # 1 : cost 0 5.794 * * [simplify]: Extracting # 2 : cost 0 5.794 * * [simplify]: Extracting # 3 : cost 0 5.794 * * [simplify]: Extracting # 4 : cost 0 5.794 * * [simplify]: Extracting # 5 : cost 0 5.794 * * [simplify]: Extracting # 6 : cost 0 5.794 * * [simplify]: Extracting # 7 : cost 0 5.794 * * [simplify]: Extracting # 8 : cost 0 5.795 * * [simplify]: iteration 0 : 61 enodes (cost 752 ) 5.808 * * [simplify]: Extracting # 0 : cost 0 5.808 * * [simplify]: Extracting # 1 : cost 0 5.808 * * [simplify]: Extracting # 2 : cost 0 5.808 * * [simplify]: Extracting # 3 : cost 0 5.808 * * [simplify]: Extracting # 4 : cost 0 5.808 * * [simplify]: iteration 1 : 134 enodes (cost 704 ) 5.875 * * [simplify]: Extracting # 0 : cost 0 5.875 * * [simplify]: Extracting # 1 : cost 0 5.876 * * [simplify]: Extracting # 2 : cost 0 5.876 * * [simplify]: Extracting # 3 : cost 0 5.877 * * [simplify]: iteration 2 : 436 enodes (cost 636 ) 6.223 * * [simplify]: Extracting # 0 : cost 0 6.225 * * [simplify]: Extracting # 1 : cost 0 6.227 * * [simplify]: Extracting # 2 : cost 0 6.229 * * [simplify]: Extracting # 3 : cost 0 6.231 * * [simplify]: iteration 3 : 1709 enodes (cost 632 ) 7.136 * * [simplify]: Extracting # 0 : cost 0 7.146 * * [simplify]: Extracting # 1 : cost 0 7.151 * * [simplify]: Extracting # 2 : cost 0 7.156 * * [simplify]: Extracting # 3 : cost 0 7.161 * * [simplify]: Extracting # 4 : cost 0 7.166 * * [simplify]: iteration done: 5001 enodes (cost 604 ) 7.167 * [simplify]: Simplified to: (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (* 2 (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (fma N N (* 1.0 (- 1.0 N)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (* 2 (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (fma N N (* 1.0 (- 1.0 N)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (* 2 (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (fma N N (* 1.0 (- 1.0 N)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (* 2 (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (fma N N (* 1.0 (- 1.0 N)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (fma (/ (pow N 2) (pow 1.0 2)) -1/2 (fma 1.0 N (log 1.0))) (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (log N)) (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (log N)) (fma (/ (pow N 2) (pow 1.0 2)) -1/2 (fma 1.0 N (log 1.0))) (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (log N)) (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (log N)) (fma (/ (pow N 2) (pow 1.0 2)) -1/2 (fma 1.0 N (log 1.0))) (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (log N)) (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (log N)) (fma (/ (pow N 2) (pow 1.0 2)) -1/2 (fma 1.0 N (log 1.0))) (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (log N)) (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (log N)) 7.167 * * * [progress]: adding candidates to table 7.596 * [progress]: [Phase 3 of 3] Extracting. 7.596 * * [regime]: Finding splitpoints for: (# # # #) 7.599 * * * [regime-changes]: Trying 1 branch expressions: (N) 7.599 * * * * [regimes]: Trying to branch on N from (# # # #) 7.651 * * * [regime]: Found split indices: #