21.130 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.046 * * * [progress]: [2/2] Setting up program. 0.053 * [progress]: [Phase 2 of 3] Improving. 0.053 * [simplify]: Simplifying: (- (log (+ N 1.0)) (log N)) 0.053 * * [simplify]: iteration 0: 6 enodes 0.055 * * [simplify]: iteration 1: 9 enodes 0.058 * * [simplify]: iteration 2: 10 enodes 0.061 * * [simplify]: iteration complete: 10 enodes 0.061 * * [simplify]: Extracting #0: cost 1 inf + 0 0.061 * * [simplify]: Extracting #1: cost 4 inf + 0 0.061 * * [simplify]: Extracting #2: cost 6 inf + 0 0.061 * * [simplify]: Extracting #3: cost 6 inf + 1 0.061 * * [simplify]: Extracting #4: cost 0 inf + 560 0.061 * [simplify]: Simplified to: (- (log (+ 1.0 N)) (log N)) 0.062 * * [progress]: iteration 1 / 4 0.062 * * * [progress]: picking best candidate 0.069 * * * * [pick]: Picked # 0.069 * * * [progress]: localizing error 0.088 * * * [progress]: generating rewritten candidates 0.088 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.116 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.122 * * * [progress]: generating series expansions 0.122 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.122 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N)) 0.122 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.122 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.122 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.122 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.122 * [taylor]: Taking taylor expansion of N in N 0.122 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 1 into 1 0.123 * [taylor]: Taking taylor expansion of 1.0 in N 0.123 * [backup-simplify]: Simplify 1.0 into 1.0 0.123 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.124 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.124 * [taylor]: Taking taylor expansion of (log N) in N 0.124 * [taylor]: Taking taylor expansion of N in N 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 1 into 1 0.124 * [backup-simplify]: Simplify (log 1) into 0 0.124 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.124 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.124 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.124 * [taylor]: Taking taylor expansion of N in N 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 1 into 1 0.124 * [taylor]: Taking taylor expansion of 1.0 in N 0.124 * [backup-simplify]: Simplify 1.0 into 1.0 0.124 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.125 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.125 * [taylor]: Taking taylor expansion of (log N) in N 0.125 * [taylor]: Taking taylor expansion of N in N 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 1 into 1 0.125 * [backup-simplify]: Simplify (log 1) into 0 0.126 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.126 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.126 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 0.126 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.127 * [backup-simplify]: Simplify (+ 1 0) into 1 0.130 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.131 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.131 * [backup-simplify]: Simplify (- 0) into 0 0.131 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.131 * [backup-simplify]: Simplify 1.0 into 1.0 0.132 * [backup-simplify]: Simplify (+ 0 0) into 0 0.138 * [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)) 0.140 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.140 * [backup-simplify]: Simplify (- 0) into 0 0.141 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.144 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.146 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (pow 1.0 2)))) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (log 1.0) (* 1.0 N)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 0.147 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 0.147 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.147 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.147 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.147 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.147 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.147 * [taylor]: Taking taylor expansion of N in N 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 1 into 1 0.147 * [backup-simplify]: Simplify (/ 1 1) into 1 0.147 * [taylor]: Taking taylor expansion of 1.0 in N 0.147 * [backup-simplify]: Simplify 1.0 into 1.0 0.147 * [backup-simplify]: Simplify (+ 1 0) into 1 0.148 * [backup-simplify]: Simplify (log 1) into 0 0.148 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.148 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.148 * [taylor]: Taking taylor expansion of N in N 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify 1 into 1 0.148 * [backup-simplify]: Simplify (/ 1 1) into 1 0.148 * [backup-simplify]: Simplify (log 1) into 0 0.148 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.148 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.148 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.148 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.148 * [taylor]: Taking taylor expansion of N in N 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify 1 into 1 0.149 * [backup-simplify]: Simplify (/ 1 1) into 1 0.149 * [taylor]: Taking taylor expansion of 1.0 in N 0.149 * [backup-simplify]: Simplify 1.0 into 1.0 0.149 * [backup-simplify]: Simplify (+ 1 0) into 1 0.149 * [backup-simplify]: Simplify (log 1) into 0 0.149 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.149 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.149 * [taylor]: Taking taylor expansion of N in N 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify 1 into 1 0.150 * [backup-simplify]: Simplify (/ 1 1) into 1 0.150 * [backup-simplify]: Simplify (log 1) into 0 0.150 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.151 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.151 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.151 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.152 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.155 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.157 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.157 * [backup-simplify]: Simplify (- 0) into 0 0.157 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.157 * [backup-simplify]: Simplify 1.0 into 1.0 0.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.158 * [backup-simplify]: Simplify (+ 0 0) into 0 0.166 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 0.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.170 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.171 * [backup-simplify]: Simplify (- 0) into 0 0.172 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.172 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.174 * [backup-simplify]: Simplify (+ 0 0) into 0 0.192 * [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 0.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.199 * [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 0.199 * [backup-simplify]: Simplify (- 0) into 0 0.200 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.200 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.201 * [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)))) 0.201 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 0.201 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.201 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.201 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.201 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.201 * [taylor]: Taking taylor expansion of 1.0 in N 0.201 * [backup-simplify]: Simplify 1.0 into 1.0 0.202 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.202 * [taylor]: Taking taylor expansion of N in N 0.202 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify 1 into 1 0.202 * [backup-simplify]: Simplify (/ 1 1) into 1 0.202 * [backup-simplify]: Simplify (- 1) into -1 0.203 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.203 * [backup-simplify]: Simplify (log -1) into (log -1) 0.203 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.203 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.203 * [taylor]: Taking taylor expansion of -1 in N 0.203 * [backup-simplify]: Simplify -1 into -1 0.204 * [taylor]: Taking taylor expansion of N in N 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify 1 into 1 0.204 * [backup-simplify]: Simplify (/ -1 1) into -1 0.204 * [backup-simplify]: Simplify (log -1) into (log -1) 0.204 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.205 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.205 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.205 * [taylor]: Taking taylor expansion of 1.0 in N 0.205 * [backup-simplify]: Simplify 1.0 into 1.0 0.205 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.205 * [taylor]: Taking taylor expansion of N in N 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify 1 into 1 0.205 * [backup-simplify]: Simplify (/ 1 1) into 1 0.205 * [backup-simplify]: Simplify (- 1) into -1 0.206 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.206 * [backup-simplify]: Simplify (log -1) into (log -1) 0.206 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.207 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.207 * [taylor]: Taking taylor expansion of -1 in N 0.207 * [backup-simplify]: Simplify -1 into -1 0.207 * [taylor]: Taking taylor expansion of N in N 0.207 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify 1 into 1 0.207 * [backup-simplify]: Simplify (/ -1 1) into -1 0.208 * [backup-simplify]: Simplify (log -1) into (log -1) 0.213 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.214 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.215 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.216 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.216 * [backup-simplify]: Simplify 0 into 0 0.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.217 * [backup-simplify]: Simplify (- 0) into 0 0.218 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.223 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.224 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.225 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.225 * [backup-simplify]: Simplify (- 0) into 0 0.226 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 0.226 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.227 * [backup-simplify]: Simplify (- 0) into 0 0.227 * [backup-simplify]: Simplify (+ 0 0) into 0 0.233 * [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 0.234 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.235 * [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 0.236 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.236 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.237 * [backup-simplify]: Simplify (- 0) into 0 0.237 * [backup-simplify]: Simplify (+ 0 0) into 0 0.247 * [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 0.248 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.251 * [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 0.251 * [backup-simplify]: Simplify (- 0) into 0 0.252 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 0.252 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.253 * [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)))) 0.253 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.253 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 0.253 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.253 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.253 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.253 * [taylor]: Taking taylor expansion of N in N 0.253 * [backup-simplify]: Simplify 0 into 0 0.253 * [backup-simplify]: Simplify 1 into 1 0.253 * [taylor]: Taking taylor expansion of 1.0 in N 0.254 * [backup-simplify]: Simplify 1.0 into 1.0 0.254 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.254 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.254 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.254 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.254 * [taylor]: Taking taylor expansion of N in N 0.254 * [backup-simplify]: Simplify 0 into 0 0.254 * [backup-simplify]: Simplify 1 into 1 0.254 * [taylor]: Taking taylor expansion of 1.0 in N 0.254 * [backup-simplify]: Simplify 1.0 into 1.0 0.254 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.255 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.255 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.255 * [backup-simplify]: Simplify (+ 1 0) into 1 0.258 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.258 * [backup-simplify]: Simplify 1.0 into 1.0 0.259 * [backup-simplify]: Simplify (+ 0 0) into 0 0.266 * [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)) 0.267 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.268 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (log 1.0))) into (- (+ (log 1.0) (* 1.0 N)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) 0.268 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 0.268 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.268 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.268 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.268 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.268 * [taylor]: Taking taylor expansion of N in N 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify 1 into 1 0.268 * [backup-simplify]: Simplify (/ 1 1) into 1 0.268 * [taylor]: Taking taylor expansion of 1.0 in N 0.268 * [backup-simplify]: Simplify 1.0 into 1.0 0.269 * [backup-simplify]: Simplify (+ 1 0) into 1 0.269 * [backup-simplify]: Simplify (log 1) into 0 0.269 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.269 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.269 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.269 * [taylor]: Taking taylor expansion of N in N 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify 1 into 1 0.269 * [backup-simplify]: Simplify (/ 1 1) into 1 0.269 * [taylor]: Taking taylor expansion of 1.0 in N 0.269 * [backup-simplify]: Simplify 1.0 into 1.0 0.270 * [backup-simplify]: Simplify (+ 1 0) into 1 0.270 * [backup-simplify]: Simplify (log 1) into 0 0.270 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.270 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.271 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.275 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.275 * [backup-simplify]: Simplify 1.0 into 1.0 0.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.276 * [backup-simplify]: Simplify (+ 0 0) into 0 0.282 * [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 0.283 * [backup-simplify]: Simplify -0.5 into -0.5 0.283 * [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)))) 0.283 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 0.283 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 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 0.284 * [backup-simplify]: Simplify 1.0 into 1.0 0.284 * [taylor]: Taking taylor expansion of (/ 1 N) in N 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 0.285 * [backup-simplify]: Simplify (- 1) into -1 0.285 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.286 * [backup-simplify]: Simplify (log -1) into (log -1) 0.286 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.286 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.286 * [taylor]: Taking taylor expansion of 1.0 in N 0.286 * [backup-simplify]: Simplify 1.0 into 1.0 0.286 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.286 * [taylor]: Taking taylor expansion of N in N 0.286 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify 1 into 1 0.286 * [backup-simplify]: Simplify (/ 1 1) into 1 0.287 * [backup-simplify]: Simplify (- 1) into -1 0.287 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.288 * [backup-simplify]: Simplify (log -1) into (log -1) 0.289 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.289 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.290 * [backup-simplify]: Simplify (- 0) into 0 0.291 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.299 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.299 * [backup-simplify]: Simplify -1.0 into -1.0 0.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.300 * [backup-simplify]: Simplify (- 0) into 0 0.301 * [backup-simplify]: Simplify (+ 0 0) into 0 0.316 * [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 -0.5 into -0.5 0.317 * [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)))) 0.317 * * * [progress]: simplifying candidates 0.320 * [simplify]: Simplifying: (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)) (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))) (- (+ (log 1.0) (* 1.0 N)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (log 1.0) (* 1.0 N)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) 0.322 * * [simplify]: iteration 0: 127 enodes 0.361 * * [simplify]: iteration 1: 286 enodes 0.457 * * [simplify]: iteration 2: 708 enodes 0.871 * * [simplify]: iteration 3: 2040 enodes 2.372 * * [simplify]: iteration complete: 5001 enodes 2.372 * * [simplify]: Extracting #0: cost 44 inf + 0 2.379 * * [simplify]: Extracting #1: cost 359 inf + 1 2.383 * * [simplify]: Extracting #2: cost 1022 inf + 2530 2.398 * * [simplify]: Extracting #3: cost 892 inf + 77982 2.457 * * [simplify]: Extracting #4: cost 193 inf + 256881 2.528 * * [simplify]: Extracting #5: cost 36 inf + 308144 2.593 * * [simplify]: Extracting #6: cost 8 inf + 313581 2.666 * * [simplify]: Extracting #7: cost 0 inf + 315605 2.761 * [simplify]: Simplified to: (- (log (+ 1.0 N)) (log N)) 0 (- (log (+ 1.0 N)) (log N)) 0 (- (log (+ 1.0 N)) (log N)) 0 (- (log (+ 1.0 N)) (log N)) 0 (- (log (+ 1.0 N)) (log N)) 0 (- (log (+ 1.0 N)) (log N)) 0 (- (log (+ 1.0 N)) (log N)) 0 (- (log (+ 1.0 N)) (log N)) 0 (- (log (+ 1.0 N)) (log N)) 0 (- (log (+ 1.0 N)) (log N)) 0 (- (log (+ 1.0 N)) (log N)) 0 (- (log (+ 1.0 N)) (log N)) 0 (- (log (+ 1.0 N)) (log N)) 0 (- (log (+ 1.0 N)) (log N)) 0 (- (log (+ 1.0 N)) (log N)) 0 (- (log (+ 1.0 N)) (log N)) 0 (expm1 (- (log (+ 1.0 N)) (log N))) (log1p (- (log (+ 1.0 N)) (log N))) (- (log N)) (- (log N)) (- (log N)) (- (log N)) (/ (+ 1.0 N) N) (log (- (log (+ 1.0 N)) (log N))) (/ (+ 1.0 N) N) (* (cbrt (- (log (+ 1.0 N)) (log N))) (cbrt (- (log (+ 1.0 N)) (log N)))) (cbrt (- (log (+ 1.0 N)) (log N))) (* (* (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N))) (- (log (+ 1.0 N)) (log N))) (sqrt (- (log (+ 1.0 N)) (log N))) (sqrt (- (log (+ 1.0 N)) (log N))) (- (* (* (log (+ 1.0 N)) (log (+ 1.0 N))) (log (+ 1.0 N))) (* (* (log N) (log N)) (log N))) (fma (log (+ 1.0 N)) (log (+ 1.0 N)) (* (+ (log (+ 1.0 N)) (log N)) (log N))) (- (log N)) (* (- (log (+ 1.0 N)) (log N)) (+ (log (+ 1.0 N)) (log N))) (+ (log (+ 1.0 N)) (log N)) (+ (sqrt (log N)) (sqrt (log (+ 1.0 N)))) (- (sqrt (log (+ 1.0 N))) (sqrt (log N))) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N)) (fma -2 (log (cbrt N)) (log (+ 1.0 N))) (- (log (+ 1.0 N)) (log (sqrt N))) (log (+ 1.0 N)) (- (log (cbrt (+ 1.0 N))) (log N)) (- (log (sqrt (+ 1.0 N))) (log N)) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N)) (+ (log (fma (- 1.0 N) 1.0 (* N N))) (log N)) (+ (log N) (log (- N 1.0))) (- (log N)) (expm1 (log (+ 1.0 N))) (log1p (log (+ 1.0 N))) (log (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (log (cbrt (+ 1.0 N))) (log (sqrt (+ 1.0 N))) (log (sqrt (+ 1.0 N))) 0 (log (+ 1.0 N)) 0 (log (+ 1.0 N)) (log (fma 1.0 (* 1.0 1.0) (* (* N N) N))) (log (fma (- 1.0 N) 1.0 (* N N))) (log (* (+ N 1.0) (- N 1.0))) (log (- N 1.0)) (log (+ 1.0 N)) (log (log (+ 1.0 N))) (+ 1.0 N) (* (cbrt (log (+ 1.0 N))) (cbrt (log (+ 1.0 N)))) (cbrt (log (+ 1.0 N))) (* (* (log (+ 1.0 N)) (log (+ 1.0 N))) (log (+ 1.0 N))) (sqrt (log (+ 1.0 N))) (sqrt (log (+ 1.0 N))) (fma -1/2 (* (/ N 1.0) (/ N 1.0)) (- (fma 1.0 N (log 1.0)) (log N))) (fma 1.0 (/ 1 N) (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5))) (fma 1.0 (/ 1 N) (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5))) (fma 1.0 N (fma (* (/ N 1.0) (/ N 1.0)) -1/2 (log 1.0))) (+ (/ 1.0 N) (- (log N) (/ (/ 0.5 N) N))) (- (+ (+ (/ 1.0 N) 0) (log N)) (/ (/ 0.5 N) N)) 2.765 * * * [progress]: adding candidates to table 3.006 * * [progress]: iteration 2 / 4 3.006 * * * [progress]: picking best candidate 3.026 * * * * [pick]: Picked # 3.026 * * * [progress]: localizing error 3.037 * * * [progress]: generating rewritten candidates 3.037 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 3.044 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 3.060 * * * [progress]: generating series expansions 3.060 * * * * [progress]: [ 1 / 2 ] generating series at (2) 3.060 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 3.060 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 3.060 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 3.060 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.060 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.060 * [taylor]: Taking taylor expansion of N in N 3.061 * [backup-simplify]: Simplify 0 into 0 3.061 * [backup-simplify]: Simplify 1 into 1 3.061 * [taylor]: Taking taylor expansion of 1.0 in N 3.061 * [backup-simplify]: Simplify 1.0 into 1.0 3.061 * [taylor]: Taking taylor expansion of N in N 3.061 * [backup-simplify]: Simplify 0 into 0 3.061 * [backup-simplify]: Simplify 1 into 1 3.061 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.062 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.062 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.062 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 3.062 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.062 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.062 * [taylor]: Taking taylor expansion of N in N 3.062 * [backup-simplify]: Simplify 0 into 0 3.062 * [backup-simplify]: Simplify 1 into 1 3.062 * [taylor]: Taking taylor expansion of 1.0 in N 3.062 * [backup-simplify]: Simplify 1.0 into 1.0 3.062 * [taylor]: Taking taylor expansion of N in N 3.062 * [backup-simplify]: Simplify 0 into 0 3.062 * [backup-simplify]: Simplify 1 into 1 3.062 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.063 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.063 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.064 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 3.064 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 3.064 * [backup-simplify]: Simplify (+ 1 0) into 1 3.065 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 3.069 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 3.069 * [backup-simplify]: Simplify 1.0 into 1.0 3.070 * [backup-simplify]: Simplify (+ 0 0) into 0 3.071 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 3.080 * [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)) 3.081 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 3.082 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (log 1.0) (* 1.0 N)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 3.082 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 3.082 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 3.082 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 3.082 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.082 * [taylor]: Taking taylor expansion of N in N 3.082 * [backup-simplify]: Simplify 0 into 0 3.082 * [backup-simplify]: Simplify 1 into 1 3.082 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.082 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.082 * [taylor]: Taking taylor expansion of N in N 3.082 * [backup-simplify]: Simplify 0 into 0 3.082 * [backup-simplify]: Simplify 1 into 1 3.082 * [backup-simplify]: Simplify (/ 1 1) into 1 3.082 * [taylor]: Taking taylor expansion of 1.0 in N 3.083 * [backup-simplify]: Simplify 1.0 into 1.0 3.083 * [backup-simplify]: Simplify (+ 1 0) into 1 3.083 * [backup-simplify]: Simplify (* 0 1) into 0 3.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.084 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.084 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 3.084 * [backup-simplify]: Simplify (log 1) into 0 3.084 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 3.084 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.084 * [taylor]: Taking taylor expansion of N in N 3.084 * [backup-simplify]: Simplify 0 into 0 3.084 * [backup-simplify]: Simplify 1 into 1 3.084 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.085 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.085 * [taylor]: Taking taylor expansion of N in N 3.085 * [backup-simplify]: Simplify 0 into 0 3.085 * [backup-simplify]: Simplify 1 into 1 3.085 * [backup-simplify]: Simplify (/ 1 1) into 1 3.085 * [taylor]: Taking taylor expansion of 1.0 in N 3.085 * [backup-simplify]: Simplify 1.0 into 1.0 3.085 * [backup-simplify]: Simplify (+ 1 0) into 1 3.085 * [backup-simplify]: Simplify (* 0 1) into 0 3.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.086 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.087 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 3.087 * [backup-simplify]: Simplify (log 1) into 0 3.087 * [backup-simplify]: Simplify 0 into 0 3.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.088 * [backup-simplify]: Simplify (+ 0 0) into 0 3.089 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 3.093 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 3.093 * [backup-simplify]: Simplify 1.0 into 1.0 3.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.094 * [backup-simplify]: Simplify (+ 0 0) into 0 3.094 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 3.100 * [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 3.100 * [backup-simplify]: Simplify -0.5 into -0.5 3.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.101 * [backup-simplify]: Simplify (+ 0 0) into 0 3.102 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 3.113 * [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 3.113 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.114 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* -0.5 (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 3.114 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 3.114 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 3.114 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 3.114 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.114 * [taylor]: Taking taylor expansion of -1 in N 3.114 * [backup-simplify]: Simplify -1 into -1 3.114 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.114 * [taylor]: Taking taylor expansion of N in N 3.114 * [backup-simplify]: Simplify 0 into 0 3.115 * [backup-simplify]: Simplify 1 into 1 3.115 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.115 * [taylor]: Taking taylor expansion of 1.0 in N 3.115 * [backup-simplify]: Simplify 1.0 into 1.0 3.115 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.115 * [taylor]: Taking taylor expansion of N in N 3.115 * [backup-simplify]: Simplify 0 into 0 3.115 * [backup-simplify]: Simplify 1 into 1 3.115 * [backup-simplify]: Simplify (/ 1 1) into 1 3.116 * [backup-simplify]: Simplify (- 1) into -1 3.116 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.117 * [backup-simplify]: Simplify (* 0 -1) into 0 3.117 * [backup-simplify]: Simplify (* -1 0) into 0 3.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.119 * [backup-simplify]: Simplify (- 0) into 0 3.119 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.124 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 3.125 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.126 * [backup-simplify]: Simplify (log 1) into 0 3.126 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 3.126 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.126 * [taylor]: Taking taylor expansion of -1 in N 3.126 * [backup-simplify]: Simplify -1 into -1 3.126 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.126 * [taylor]: Taking taylor expansion of N in N 3.126 * [backup-simplify]: Simplify 0 into 0 3.126 * [backup-simplify]: Simplify 1 into 1 3.126 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.126 * [taylor]: Taking taylor expansion of 1.0 in N 3.126 * [backup-simplify]: Simplify 1.0 into 1.0 3.126 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.126 * [taylor]: Taking taylor expansion of N in N 3.126 * [backup-simplify]: Simplify 0 into 0 3.126 * [backup-simplify]: Simplify 1 into 1 3.127 * [backup-simplify]: Simplify (/ 1 1) into 1 3.128 * [backup-simplify]: Simplify (- 1) into -1 3.128 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.129 * [backup-simplify]: Simplify (* 0 -1) into 0 3.129 * [backup-simplify]: Simplify (* -1 0) into 0 3.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.131 * [backup-simplify]: Simplify (- 0) into 0 3.131 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.132 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 3.133 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.133 * [backup-simplify]: Simplify (log 1) into 0 3.133 * [backup-simplify]: Simplify 0 into 0 3.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.134 * [backup-simplify]: Simplify (- 0) into 0 3.135 * [backup-simplify]: Simplify (+ 0 0) into 0 3.138 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 3.140 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 3.145 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 3.145 * [backup-simplify]: Simplify -1.0 into -1.0 3.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.146 * [backup-simplify]: Simplify (- 0) into 0 3.146 * [backup-simplify]: Simplify (+ 0 0) into 0 3.147 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 3.148 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 3.154 * [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 3.154 * [backup-simplify]: Simplify -0.5 into -0.5 3.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.155 * [backup-simplify]: Simplify (- 0) into 0 3.155 * [backup-simplify]: Simplify (+ 0 0) into 0 3.156 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 3.157 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 3.167 * [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 3.167 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 3.168 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) (+ (* -0.5 (pow (/ 1 (- N)) 2)) (* -1.0 (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 3.168 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 3.168 * [backup-simplify]: Simplify (/ (+ N 1.0) N) into (/ (+ N 1.0) N) 3.168 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 3.168 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.168 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.168 * [taylor]: Taking taylor expansion of N in N 3.168 * [backup-simplify]: Simplify 0 into 0 3.168 * [backup-simplify]: Simplify 1 into 1 3.168 * [taylor]: Taking taylor expansion of 1.0 in N 3.168 * [backup-simplify]: Simplify 1.0 into 1.0 3.168 * [taylor]: Taking taylor expansion of N in N 3.168 * [backup-simplify]: Simplify 0 into 0 3.168 * [backup-simplify]: Simplify 1 into 1 3.168 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.169 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.169 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.169 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.169 * [taylor]: Taking taylor expansion of N in N 3.169 * [backup-simplify]: Simplify 0 into 0 3.169 * [backup-simplify]: Simplify 1 into 1 3.169 * [taylor]: Taking taylor expansion of 1.0 in N 3.169 * [backup-simplify]: Simplify 1.0 into 1.0 3.169 * [taylor]: Taking taylor expansion of N in N 3.169 * [backup-simplify]: Simplify 0 into 0 3.169 * [backup-simplify]: Simplify 1 into 1 3.169 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.170 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.170 * [backup-simplify]: Simplify 1.0 into 1.0 3.170 * [backup-simplify]: Simplify (+ 1 0) into 1 3.170 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 3.171 * [backup-simplify]: Simplify 1 into 1 3.171 * [backup-simplify]: Simplify (+ 0 0) into 0 3.171 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 3.171 * [backup-simplify]: Simplify 0 into 0 3.172 * [backup-simplify]: Simplify (+ 0 0) into 0 3.173 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.173 * [backup-simplify]: Simplify 0 into 0 3.174 * [backup-simplify]: Simplify (+ 0 0) into 0 3.174 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.175 * [backup-simplify]: Simplify 0 into 0 3.175 * [backup-simplify]: Simplify (+ 0 0) into 0 3.175 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.175 * [backup-simplify]: Simplify 0 into 0 3.176 * [backup-simplify]: Simplify (+ 0 0) into 0 3.176 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.176 * [backup-simplify]: Simplify 0 into 0 3.177 * [backup-simplify]: Simplify (+ 0 0) into 0 3.177 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.177 * [backup-simplify]: Simplify 0 into 0 3.177 * [backup-simplify]: Simplify (+ 1 (* 1.0 (/ 1 N))) into (+ (* 1.0 (/ 1 N)) 1) 3.178 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1.0) (/ 1 N)) into (* N (+ (/ 1 N) 1.0)) 3.178 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 3.178 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.178 * [taylor]: Taking taylor expansion of N in N 3.178 * [backup-simplify]: Simplify 0 into 0 3.178 * [backup-simplify]: Simplify 1 into 1 3.178 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.178 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.178 * [taylor]: Taking taylor expansion of N in N 3.178 * [backup-simplify]: Simplify 0 into 0 3.178 * [backup-simplify]: Simplify 1 into 1 3.178 * [backup-simplify]: Simplify (/ 1 1) into 1 3.178 * [taylor]: Taking taylor expansion of 1.0 in N 3.178 * [backup-simplify]: Simplify 1.0 into 1.0 3.178 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.178 * [taylor]: Taking taylor expansion of N in N 3.178 * [backup-simplify]: Simplify 0 into 0 3.178 * [backup-simplify]: Simplify 1 into 1 3.178 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.178 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.178 * [taylor]: Taking taylor expansion of N in N 3.178 * [backup-simplify]: Simplify 0 into 0 3.178 * [backup-simplify]: Simplify 1 into 1 3.178 * [backup-simplify]: Simplify (/ 1 1) into 1 3.178 * [taylor]: Taking taylor expansion of 1.0 in N 3.178 * [backup-simplify]: Simplify 1.0 into 1.0 3.179 * [backup-simplify]: Simplify (+ 1 0) into 1 3.179 * [backup-simplify]: Simplify (* 0 1) into 0 3.179 * [backup-simplify]: Simplify 0 into 0 3.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.180 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.180 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 3.180 * [backup-simplify]: Simplify 1 into 1 3.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.181 * [backup-simplify]: Simplify (+ 0 0) into 0 3.183 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 3.183 * [backup-simplify]: Simplify 1.0 into 1.0 3.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.184 * [backup-simplify]: Simplify (+ 0 0) into 0 3.184 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 3.184 * [backup-simplify]: Simplify 0 into 0 3.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.185 * [backup-simplify]: Simplify (+ 0 0) into 0 3.186 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 3.186 * [backup-simplify]: Simplify 0 into 0 3.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.187 * [backup-simplify]: Simplify (+ 0 0) into 0 3.188 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))) into 0 3.188 * [backup-simplify]: Simplify 0 into 0 3.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.188 * [backup-simplify]: Simplify (+ 0 0) into 0 3.189 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))) into 0 3.189 * [backup-simplify]: Simplify 0 into 0 3.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.190 * [backup-simplify]: Simplify (+ 0 0) into 0 3.191 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))))) into 0 3.191 * [backup-simplify]: Simplify 0 into 0 3.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.192 * [backup-simplify]: Simplify (+ 0 0) into 0 3.193 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))))) into 0 3.193 * [backup-simplify]: Simplify 0 into 0 3.193 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) 1) into (+ (* 1.0 (/ 1 N)) 1) 3.193 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (* N (- 1.0 (/ 1 N)))) 3.193 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 3.194 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.194 * [taylor]: Taking taylor expansion of -1 in N 3.194 * [backup-simplify]: Simplify -1 into -1 3.194 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.194 * [taylor]: Taking taylor expansion of N in N 3.194 * [backup-simplify]: Simplify 0 into 0 3.194 * [backup-simplify]: Simplify 1 into 1 3.194 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.194 * [taylor]: Taking taylor expansion of 1.0 in N 3.194 * [backup-simplify]: Simplify 1.0 into 1.0 3.194 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.194 * [taylor]: Taking taylor expansion of N in N 3.194 * [backup-simplify]: Simplify 0 into 0 3.194 * [backup-simplify]: Simplify 1 into 1 3.194 * [backup-simplify]: Simplify (/ 1 1) into 1 3.194 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.194 * [taylor]: Taking taylor expansion of -1 in N 3.194 * [backup-simplify]: Simplify -1 into -1 3.194 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.194 * [taylor]: Taking taylor expansion of N in N 3.194 * [backup-simplify]: Simplify 0 into 0 3.194 * [backup-simplify]: Simplify 1 into 1 3.194 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.194 * [taylor]: Taking taylor expansion of 1.0 in N 3.194 * [backup-simplify]: Simplify 1.0 into 1.0 3.194 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.194 * [taylor]: Taking taylor expansion of N in N 3.194 * [backup-simplify]: Simplify 0 into 0 3.194 * [backup-simplify]: Simplify 1 into 1 3.194 * [backup-simplify]: Simplify (/ 1 1) into 1 3.195 * [backup-simplify]: Simplify (- 1) into -1 3.195 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.195 * [backup-simplify]: Simplify (* 0 -1) into 0 3.195 * [backup-simplify]: Simplify (* -1 0) into 0 3.196 * [backup-simplify]: Simplify 0 into 0 3.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.196 * [backup-simplify]: Simplify (- 0) into 0 3.197 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.197 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 3.197 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.197 * [backup-simplify]: Simplify 1 into 1 3.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.198 * [backup-simplify]: Simplify (- 0) into 0 3.198 * [backup-simplify]: Simplify (+ 0 0) into 0 3.200 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 3.201 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 3.201 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.202 * [backup-simplify]: Simplify (- 0) into 0 3.202 * [backup-simplify]: Simplify (+ 0 0) into 0 3.203 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 3.204 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 3.204 * [backup-simplify]: Simplify 0 into 0 3.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.205 * [backup-simplify]: Simplify (- 0) into 0 3.205 * [backup-simplify]: Simplify (+ 0 0) into 0 3.206 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 3.207 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 3.207 * [backup-simplify]: Simplify 0 into 0 3.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.208 * [backup-simplify]: Simplify (- 0) into 0 3.208 * [backup-simplify]: Simplify (+ 0 0) into 0 3.209 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 3.210 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))) into 0 3.210 * [backup-simplify]: Simplify 0 into 0 3.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.210 * [backup-simplify]: Simplify (- 0) into 0 3.211 * [backup-simplify]: Simplify (+ 0 0) into 0 3.212 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 3.213 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))) into 0 3.213 * [backup-simplify]: Simplify 0 into 0 3.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.213 * [backup-simplify]: Simplify (- 0) into 0 3.214 * [backup-simplify]: Simplify (+ 0 0) into 0 3.216 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 3.217 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))))) into 0 3.217 * [backup-simplify]: Simplify 0 into 0 3.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.218 * [backup-simplify]: Simplify (- 0) into 0 3.218 * [backup-simplify]: Simplify (+ 0 0) into 0 3.220 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))))) into 0 3.221 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))))) into 0 3.221 * [backup-simplify]: Simplify 0 into 0 3.221 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (- N))) 1) into (+ (* 1.0 (/ 1 N)) 1) 3.221 * * * [progress]: simplifying candidates 3.222 * [simplify]: Simplifying: (expm1 (log (/ (+ N 1.0) N))) (log1p (log (/ (+ N 1.0) N))) (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1)) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log 1) (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (exp (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (expm1 (/ (+ N 1.0) N)) (log1p (/ (+ N 1.0) N)) (- (log (+ N 1.0)) (log N)) (log (/ (+ N 1.0) N)) (exp (/ (+ N 1.0) N)) (/ (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* (* N N) N)) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (* (* (/ (+ N 1.0) N) (/ (+ N 1.0) N)) (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (- (+ N 1.0)) (- N) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)) (/ (cbrt (+ N 1.0)) (sqrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) 1) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (/ (+ N 1.0) 1) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (* N (- N 1.0)) (- (+ (log 1.0) (* 1.0 N)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 3.223 * * [simplify]: iteration 0: 112 enodes 3.248 * * [simplify]: iteration 1: 252 enodes 3.362 * * [simplify]: iteration 2: 629 enodes 3.869 * * [simplify]: iteration 3: 2337 enodes 4.853 * * [simplify]: iteration complete: 5001 enodes 4.854 * * [simplify]: Extracting #0: cost 67 inf + 0 4.855 * * [simplify]: Extracting #1: cost 576 inf + 2 4.861 * * [simplify]: Extracting #2: cost 1527 inf + 643 4.894 * * [simplify]: Extracting #3: cost 1192 inf + 49932 4.932 * * [simplify]: Extracting #4: cost 283 inf + 199953 5.022 * * [simplify]: Extracting #5: cost 38 inf + 264428 5.087 * * [simplify]: Extracting #6: cost 0 inf + 275887 5.182 * [simplify]: Simplified to: (expm1 (log (/ (+ 1.0 N) N))) (log1p (log (/ (+ 1.0 N) N))) (log (* (cbrt (/ (+ 1.0 N) N)) (cbrt (/ (+ 1.0 N) N)))) (log (cbrt (/ (+ 1.0 N) N))) (log (sqrt (/ (+ 1.0 N) N))) (log (sqrt (/ (+ 1.0 N) N))) (log (* (/ (cbrt (+ 1.0 N)) (cbrt N)) (/ (cbrt (+ 1.0 N)) (cbrt N)))) (log (/ (cbrt (+ 1.0 N)) (cbrt N))) (log (* (/ (cbrt (+ 1.0 N)) (sqrt N)) (cbrt (+ 1.0 N)))) (log (/ (cbrt (+ 1.0 N)) (sqrt N))) (+ (log (cbrt (+ 1.0 N))) (log (cbrt (+ 1.0 N)))) (log (/ (cbrt (+ 1.0 N)) N)) (log (/ (sqrt (+ 1.0 N)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ 1.0 N)) (cbrt N))) (log (/ (sqrt (+ 1.0 N)) (sqrt N))) (log (/ (sqrt (+ 1.0 N)) (sqrt N))) (log (sqrt (+ 1.0 N))) (log (/ (sqrt (+ 1.0 N)) N)) (- (- (log (cbrt N))) (log (cbrt N))) (log (/ (+ 1.0 N) (cbrt N))) (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))) 0 (log (/ (+ 1.0 N) N)) (- (- (log (cbrt N))) (log (cbrt N))) (log (/ (+ 1.0 N) (cbrt N))) (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))) 0 (log (/ (+ 1.0 N) N)) 0 (log (/ (+ 1.0 N) N)) (log (+ 1.0 N)) (- (log N)) (log (+ 1.0 N)) (log N) (log (/ (+ 1.0 N) N)) (log (log (/ (+ 1.0 N) N))) (/ (+ 1.0 N) N) (* (cbrt (log (/ (+ 1.0 N) N))) (cbrt (log (/ (+ 1.0 N) N)))) (cbrt (log (/ (+ 1.0 N) N))) (* (* (log (/ (+ 1.0 N) N)) (log (/ (+ 1.0 N) N))) (log (/ (+ 1.0 N) N))) (sqrt (log (/ (+ 1.0 N) N))) (sqrt (log (/ (+ 1.0 N) N))) (expm1 (/ (+ 1.0 N) N)) (log1p (/ (+ 1.0 N) N)) (log (/ (+ 1.0 N) N)) (log (/ (+ 1.0 N) N)) (exp (/ (+ 1.0 N) N)) (* (/ (+ 1.0 N) N) (* (/ (+ 1.0 N) N) (/ (+ 1.0 N) N))) (* (cbrt (/ (+ 1.0 N) N)) (cbrt (/ (+ 1.0 N) N))) (cbrt (/ (+ 1.0 N) N)) (* (/ (+ 1.0 N) N) (* (/ (+ 1.0 N) N) (/ (+ 1.0 N) N))) (sqrt (/ (+ 1.0 N) N)) (sqrt (/ (+ 1.0 N) N)) (- (- N) 1.0) (- N) (* (/ (cbrt (+ 1.0 N)) (cbrt N)) (/ (cbrt (+ 1.0 N)) (cbrt N))) (/ (cbrt (+ 1.0 N)) (cbrt N)) (* (/ (cbrt (+ 1.0 N)) (sqrt N)) (cbrt (+ 1.0 N))) (/ (cbrt (+ 1.0 N)) (sqrt N)) (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (/ (cbrt (+ 1.0 N)) N) (/ (sqrt (+ 1.0 N)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1.0 N)) (cbrt N)) (/ (sqrt (+ 1.0 N)) (sqrt N)) (/ (sqrt (+ 1.0 N)) (sqrt N)) (sqrt (+ 1.0 N)) (/ (sqrt (+ 1.0 N)) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (+ 1.0 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1.0 N) (sqrt N)) 1 (/ (+ 1.0 N) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (+ 1.0 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1.0 N) (sqrt N)) 1 (/ (+ 1.0 N) N) (/ 1 N) (/ N (+ 1.0 N)) (/ (/ (+ 1.0 N) (cbrt N)) (cbrt N)) (/ (+ 1.0 N) (sqrt N)) (+ 1.0 N) (/ N (cbrt (+ 1.0 N))) (/ N (sqrt (+ 1.0 N))) (/ N (+ 1.0 N)) (/ N (+ 1.0 N)) (* (fma 1.0 (- 1.0 N) (* N N)) N) (* (- N 1.0) N) (- (fma N 1.0 (log 1.0)) (fma (* (/ N 1.0) (/ N 1.0)) 1/2 (log N))) (fma (/ -1 (* N N)) 0.5 (+ (/ (/ 0.3333333333333333 N) (* N N)) (/ 1.0 N))) (fma (/ -1 (* N N)) 0.5 (+ (/ (/ 0.3333333333333333 N) (* N N)) (/ 1.0 N))) (+ (/ 1.0 N) 1) (+ (/ 1.0 N) 1) (+ (/ 1.0 N) 1) 5.188 * * * [progress]: adding candidates to table 5.473 * * [progress]: iteration 3 / 4 5.473 * * * [progress]: picking best candidate 5.485 * * * * [pick]: Picked # 5.485 * * * [progress]: localizing error 5.515 * * * [progress]: generating rewritten candidates 5.515 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 5.540 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 5.547 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2) 5.553 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 5.563 * * * [progress]: generating series expansions 5.563 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 5.564 * [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)) 5.564 * [approximate]: Taking taylor expansion of (- (pow (log (+ N 1.0)) 2) (pow (log N) 2)) in (N) around 0 5.564 * [taylor]: Taking taylor expansion of (- (pow (log (+ N 1.0)) 2) (pow (log N) 2)) in N 5.564 * [taylor]: Taking taylor expansion of (pow (log (+ N 1.0)) 2) in N 5.564 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 5.564 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.564 * [taylor]: Taking taylor expansion of N in N 5.564 * [backup-simplify]: Simplify 0 into 0 5.564 * [backup-simplify]: Simplify 1 into 1 5.564 * [taylor]: Taking taylor expansion of 1.0 in N 5.564 * [backup-simplify]: Simplify 1.0 into 1.0 5.565 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.566 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.566 * [taylor]: Taking taylor expansion of (pow (log N) 2) in N 5.566 * [taylor]: Taking taylor expansion of (log N) in N 5.566 * [taylor]: Taking taylor expansion of N in N 5.566 * [backup-simplify]: Simplify 0 into 0 5.566 * [backup-simplify]: Simplify 1 into 1 5.566 * [backup-simplify]: Simplify (log 1) into 0 5.567 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.567 * [taylor]: Taking taylor expansion of (- (pow (log (+ N 1.0)) 2) (pow (log N) 2)) in N 5.567 * [taylor]: Taking taylor expansion of (pow (log (+ N 1.0)) 2) in N 5.567 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 5.567 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.567 * [taylor]: Taking taylor expansion of N in N 5.567 * [backup-simplify]: Simplify 0 into 0 5.567 * [backup-simplify]: Simplify 1 into 1 5.567 * [taylor]: Taking taylor expansion of 1.0 in N 5.567 * [backup-simplify]: Simplify 1.0 into 1.0 5.567 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.568 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.568 * [taylor]: Taking taylor expansion of (pow (log N) 2) in N 5.568 * [taylor]: Taking taylor expansion of (log N) in N 5.568 * [taylor]: Taking taylor expansion of N in N 5.568 * [backup-simplify]: Simplify 0 into 0 5.568 * [backup-simplify]: Simplify 1 into 1 5.568 * [backup-simplify]: Simplify (log 1) into 0 5.569 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.570 * [backup-simplify]: Simplify (* (log 1.0) (log 1.0)) into (pow (log 1.0) 2) 5.571 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.571 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.571 * [backup-simplify]: Simplify (* (log N) (log N)) into (pow (log N) 2) 5.572 * [backup-simplify]: Simplify (- (pow (log N) 2)) into (- (pow (log N) 2)) 5.573 * [backup-simplify]: Simplify (+ (pow (log 1.0) 2) (- (pow (log N) 2))) into (- (pow (log 1.0) 2) (pow (log N) 2)) 5.574 * [backup-simplify]: Simplify (- (pow (log 1.0) 2) (pow (log N) 2)) into (- (pow (log 1.0) 2) (pow (log N) 2)) 5.575 * [backup-simplify]: Simplify (+ 1 0) into 1 5.586 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 5.589 * [backup-simplify]: Simplify (+ (* (log 1.0) 1.0) (* 1.0 (log 1.0))) into (* 2.0 (log 1.0)) 5.590 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.591 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.591 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.592 * [backup-simplify]: Simplify (+ (* (log N) 0) (* 0 (log N))) into 0 5.592 * [backup-simplify]: Simplify (- 0) into 0 5.593 * [backup-simplify]: Simplify (+ (* 2.0 (log 1.0)) 0) into (* 2.0 (log 1.0)) 5.594 * [backup-simplify]: Simplify (* 2.0 (log 1.0)) into (* 2.0 (log 1.0)) 5.595 * [backup-simplify]: Simplify (+ 0 0) into 0 5.607 * [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)) 5.615 * [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))) 5.615 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.618 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 5.618 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.619 * [backup-simplify]: Simplify (+ (* (log N) 0) (+ (* 0 0) (* 0 (log N)))) into 0 5.619 * [backup-simplify]: Simplify (- 0) into 0 5.623 * [backup-simplify]: Simplify (+ (- 1.0 (/ (log 1.0) (pow 1.0 2))) 0) into (- 1.0 (/ (log 1.0) (pow 1.0 2))) 5.625 * [backup-simplify]: Simplify (- 1.0 (/ (log 1.0) (pow 1.0 2))) into (- 1.0 (/ (log 1.0) (pow 1.0 2))) 5.629 * [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 (- (+ (* 2.0 (* (log 1.0) N)) (+ (* 1.0 (pow N 2)) (pow (log 1.0) 2))) (+ (/ (* (log 1.0) (pow N 2)) (pow 1.0 2)) (pow (log N) 2))) 5.630 * [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)) 5.630 * [approximate]: Taking taylor expansion of (- (pow (log (+ (/ 1 N) 1.0)) 2) (pow (log (/ 1 N)) 2)) in (N) around 0 5.630 * [taylor]: Taking taylor expansion of (- (pow (log (+ (/ 1 N) 1.0)) 2) (pow (log (/ 1 N)) 2)) in N 5.630 * [taylor]: Taking taylor expansion of (pow (log (+ (/ 1 N) 1.0)) 2) in N 5.630 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 5.630 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.630 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.630 * [taylor]: Taking taylor expansion of N in N 5.630 * [backup-simplify]: Simplify 0 into 0 5.630 * [backup-simplify]: Simplify 1 into 1 5.631 * [backup-simplify]: Simplify (/ 1 1) into 1 5.631 * [taylor]: Taking taylor expansion of 1.0 in N 5.631 * [backup-simplify]: Simplify 1.0 into 1.0 5.631 * [backup-simplify]: Simplify (+ 1 0) into 1 5.632 * [backup-simplify]: Simplify (log 1) into 0 5.632 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.632 * [taylor]: Taking taylor expansion of (pow (log (/ 1 N)) 2) in N 5.632 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 5.632 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.632 * [taylor]: Taking taylor expansion of N in N 5.632 * [backup-simplify]: Simplify 0 into 0 5.632 * [backup-simplify]: Simplify 1 into 1 5.633 * [backup-simplify]: Simplify (/ 1 1) into 1 5.633 * [backup-simplify]: Simplify (log 1) into 0 5.633 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.633 * [taylor]: Taking taylor expansion of (- (pow (log (+ (/ 1 N) 1.0)) 2) (pow (log (/ 1 N)) 2)) in N 5.633 * [taylor]: Taking taylor expansion of (pow (log (+ (/ 1 N) 1.0)) 2) in N 5.634 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 5.634 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.634 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.634 * [taylor]: Taking taylor expansion of N in N 5.634 * [backup-simplify]: Simplify 0 into 0 5.634 * [backup-simplify]: Simplify 1 into 1 5.634 * [backup-simplify]: Simplify (/ 1 1) into 1 5.634 * [taylor]: Taking taylor expansion of 1.0 in N 5.634 * [backup-simplify]: Simplify 1.0 into 1.0 5.634 * [backup-simplify]: Simplify (+ 1 0) into 1 5.635 * [backup-simplify]: Simplify (log 1) into 0 5.635 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.635 * [taylor]: Taking taylor expansion of (pow (log (/ 1 N)) 2) in N 5.635 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 5.635 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.635 * [taylor]: Taking taylor expansion of N in N 5.635 * [backup-simplify]: Simplify 0 into 0 5.635 * [backup-simplify]: Simplify 1 into 1 5.636 * [backup-simplify]: Simplify (/ 1 1) into 1 5.636 * [backup-simplify]: Simplify (log 1) into 0 5.637 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.637 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.638 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.638 * [backup-simplify]: Simplify (* (- (log N)) (- (log N))) into (pow (log N) 2) 5.638 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.639 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.639 * [backup-simplify]: Simplify (* (- (log N)) (- (log N))) into (pow (log N) 2) 5.639 * [backup-simplify]: Simplify (- (pow (log N) 2)) into (- (pow (log N) 2)) 5.639 * [backup-simplify]: Simplify (+ (pow (log N) 2) (- (pow (log N) 2))) into 0 5.639 * [backup-simplify]: Simplify 0 into 0 5.640 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.641 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.647 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 5.648 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.648 * [backup-simplify]: Simplify (+ (* (- (log N)) 1.0) (* 1.0 (- (log N)))) into (- (* 2.0 (log N))) 5.649 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.650 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.651 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.651 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (* 0 (- (log N)))) into 0 5.651 * [backup-simplify]: Simplify (- 0) into 0 5.651 * [backup-simplify]: Simplify (+ (- (* 2.0 (log N))) 0) into (- (* 2.0 (log N))) 5.651 * [backup-simplify]: Simplify (- (* 2.0 (log N))) into (- (* 2.0 (log N))) 5.651 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.652 * [backup-simplify]: Simplify (+ 0 0) into 0 5.658 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 5.659 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.659 * [backup-simplify]: Simplify (+ (* (- (log N)) -0.5) (+ (* 1.0 1.0) (* -0.5 (- (log N))))) into (+ (* 1.0 (log N)) 1.0) 5.659 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.661 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 5.662 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.662 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 5.662 * [backup-simplify]: Simplify (- 0) into 0 5.662 * [backup-simplify]: Simplify (+ (+ (* 1.0 (log N)) 1.0) 0) into (+ (* 1.0 (log N)) 1.0) 5.662 * [backup-simplify]: Simplify (+ (* 1.0 (log N)) 1.0) into (+ (* 1.0 (log N)) 1.0) 5.663 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.663 * [backup-simplify]: Simplify (+ 0 0) into 0 5.673 * [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 5.673 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.674 * [backup-simplify]: Simplify (+ (* (- (log N)) 0.3333333333333333) (+ (* 1.0 -0.5) (+ (* -0.5 1.0) (* 0.3333333333333333 (- (log N)))))) into (- (+ (* 0.6666666666666666 (log N)) 1.0)) 5.674 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.677 * [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 5.678 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.679 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 5.679 * [backup-simplify]: Simplify (- 0) into 0 5.679 * [backup-simplify]: Simplify (+ (- (+ (* 0.6666666666666666 (log N)) 1.0)) 0) into (- (+ (* 0.6666666666666666 (log N)) 1.0)) 5.679 * [backup-simplify]: Simplify (- (+ (* 0.6666666666666666 (log N)) 1.0)) into (- (+ (* 0.6666666666666666 (log N)) 1.0)) 5.680 * [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)))) (+ (* 1.0 (/ 1 (pow N 3))) (+ (* 0.6666666666666666 (/ (log (/ 1 N)) (pow N 3))) (* 2.0 (/ (log (/ 1 N)) N))))) 5.681 * [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)) 5.681 * [approximate]: Taking taylor expansion of (- (pow (log (- 1.0 (/ 1 N))) 2) (pow (log (/ -1 N)) 2)) in (N) around 0 5.681 * [taylor]: Taking taylor expansion of (- (pow (log (- 1.0 (/ 1 N))) 2) (pow (log (/ -1 N)) 2)) in N 5.681 * [taylor]: Taking taylor expansion of (pow (log (- 1.0 (/ 1 N))) 2) in N 5.681 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 5.681 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.681 * [taylor]: Taking taylor expansion of 1.0 in N 5.681 * [backup-simplify]: Simplify 1.0 into 1.0 5.681 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.681 * [taylor]: Taking taylor expansion of N in N 5.681 * [backup-simplify]: Simplify 0 into 0 5.681 * [backup-simplify]: Simplify 1 into 1 5.682 * [backup-simplify]: Simplify (/ 1 1) into 1 5.682 * [backup-simplify]: Simplify (- 1) into -1 5.683 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.683 * [backup-simplify]: Simplify (log -1) into (log -1) 5.684 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.684 * [taylor]: Taking taylor expansion of (pow (log (/ -1 N)) 2) in N 5.684 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 5.684 * [taylor]: Taking taylor expansion of (/ -1 N) in N 5.684 * [taylor]: Taking taylor expansion of -1 in N 5.684 * [backup-simplify]: Simplify -1 into -1 5.684 * [taylor]: Taking taylor expansion of N in N 5.684 * [backup-simplify]: Simplify 0 into 0 5.684 * [backup-simplify]: Simplify 1 into 1 5.684 * [backup-simplify]: Simplify (/ -1 1) into -1 5.685 * [backup-simplify]: Simplify (log -1) into (log -1) 5.686 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.686 * [taylor]: Taking taylor expansion of (- (pow (log (- 1.0 (/ 1 N))) 2) (pow (log (/ -1 N)) 2)) in N 5.686 * [taylor]: Taking taylor expansion of (pow (log (- 1.0 (/ 1 N))) 2) in N 5.686 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 5.686 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.686 * [taylor]: Taking taylor expansion of 1.0 in N 5.686 * [backup-simplify]: Simplify 1.0 into 1.0 5.686 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.686 * [taylor]: Taking taylor expansion of N in N 5.686 * [backup-simplify]: Simplify 0 into 0 5.686 * [backup-simplify]: Simplify 1 into 1 5.686 * [backup-simplify]: Simplify (/ 1 1) into 1 5.687 * [backup-simplify]: Simplify (- 1) into -1 5.687 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.688 * [backup-simplify]: Simplify (log -1) into (log -1) 5.688 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.688 * [taylor]: Taking taylor expansion of (pow (log (/ -1 N)) 2) in N 5.689 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 5.689 * [taylor]: Taking taylor expansion of (/ -1 N) in N 5.689 * [taylor]: Taking taylor expansion of -1 in N 5.689 * [backup-simplify]: Simplify -1 into -1 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 * [backup-simplify]: Simplify (log -1) into (log -1) 5.690 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.691 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.692 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.693 * [backup-simplify]: Simplify (* (- (log -1) (log N)) (- (log -1) (log N))) into (pow (- (log -1) (log N)) 2) 5.694 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.694 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.695 * [backup-simplify]: Simplify (* (- (log -1) (log N)) (- (log -1) (log N))) into (pow (- (log -1) (log N)) 2) 5.696 * [backup-simplify]: Simplify (- (pow (- (log -1) (log N)) 2)) into (- (* 2 (* (log N) (log -1))) (+ (pow (log N) 2) (pow (log -1) 2))) 5.698 * [backup-simplify]: Simplify (+ (pow (- (log -1) (log N)) 2) (- (* 2 (* (log N) (log -1))) (+ (pow (log N) 2) (pow (log -1) 2)))) into 0 5.698 * [backup-simplify]: Simplify 0 into 0 5.699 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.700 * [backup-simplify]: Simplify (- 0) into 0 5.701 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.710 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 5.711 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.712 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) -1.0) (* -1.0 (- (log -1) (log N)))) into (- (* 2.0 (log N)) (* 2.0 (log -1))) 5.713 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.714 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.715 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 5.716 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.717 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (* 0 (- (log -1) (log N)))) into 0 5.717 * [backup-simplify]: Simplify (- 0) into 0 5.718 * [backup-simplify]: Simplify (+ (- (* 2.0 (log N)) (* 2.0 (log -1))) 0) into (- (* 2.0 (log N)) (* 2.0 (log -1))) 5.719 * [backup-simplify]: Simplify (- (* 2.0 (log N)) (* 2.0 (log -1))) into (- (* 2.0 (log N)) (* 2.0 (log -1))) 5.720 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.722 * [backup-simplify]: Simplify (- 0) into 0 5.722 * [backup-simplify]: Simplify (+ 0 0) into 0 5.729 * [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 5.729 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.730 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) -0.5) (+ (* -1.0 -1.0) (* -0.5 (- (log -1) (log N))))) into (- (+ (* 1.0 (log N)) 1.0) (* 1.0 (log -1))) 5.731 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.731 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.733 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 5.733 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.734 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))) into 0 5.734 * [backup-simplify]: Simplify (- 0) into 0 5.735 * [backup-simplify]: Simplify (+ (- (+ (* 1.0 (log N)) 1.0) (* 1.0 (log -1))) 0) into (- (+ (* 1.0 (log N)) 1.0) (* 1.0 (log -1))) 5.736 * [backup-simplify]: Simplify (- (+ (* 1.0 (log N)) 1.0) (* 1.0 (log -1))) into (- (+ (* 1.0 (log N)) 1.0) (* 1.0 (log -1))) 5.736 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.737 * [backup-simplify]: Simplify (- 0) into 0 5.738 * [backup-simplify]: Simplify (+ 0 0) into 0 5.748 * [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 5.749 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.750 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) -0.3333333333333333) (+ (* -1.0 -0.5) (+ (* -0.5 -1.0) (* -0.3333333333333333 (- (log -1) (log N)))))) into (- (+ (* 0.6666666666666666 (log N)) 1.0) (* 0.6666666666666666 (log -1))) 5.751 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.752 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.757 * [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 5.757 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.760 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N)))))) into 0 5.760 * [backup-simplify]: Simplify (- 0) into 0 5.761 * [backup-simplify]: Simplify (+ (- (+ (* 0.6666666666666666 (log N)) 1.0) (* 0.6666666666666666 (log -1))) 0) into (- (+ (* 0.6666666666666666 (log N)) 1.0) (* 0.6666666666666666 (log -1))) 5.762 * [backup-simplify]: Simplify (- (+ (* 0.6666666666666666 (log N)) 1.0) (* 0.6666666666666666 (log -1))) into (- (+ (* 0.6666666666666666 (log N)) 1.0) (* 0.6666666666666666 (log -1))) 5.767 * [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))) (+ (* 1.0 (/ (log (/ -1 N)) (pow N 2))) (* 0.6666666666666666 (/ (log -1) (pow N 3)))))) (+ (* 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))))))) 5.767 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 5.767 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 5.767 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 5.768 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 5.768 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.768 * [taylor]: Taking taylor expansion of N in N 5.768 * [backup-simplify]: Simplify 0 into 0 5.768 * [backup-simplify]: Simplify 1 into 1 5.768 * [taylor]: Taking taylor expansion of 1.0 in N 5.768 * [backup-simplify]: Simplify 1.0 into 1.0 5.768 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.769 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.769 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 5.769 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.769 * [taylor]: Taking taylor expansion of N in N 5.769 * [backup-simplify]: Simplify 0 into 0 5.769 * [backup-simplify]: Simplify 1 into 1 5.769 * [taylor]: Taking taylor expansion of 1.0 in N 5.769 * [backup-simplify]: Simplify 1.0 into 1.0 5.769 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.770 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.770 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.771 * [backup-simplify]: Simplify (+ 1 0) into 1 5.776 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 5.776 * [backup-simplify]: Simplify 1.0 into 1.0 5.776 * [backup-simplify]: Simplify (+ 0 0) into 0 5.785 * [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)) 5.786 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 5.788 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (log 1.0))) into (- (+ (log 1.0) (* 1.0 N)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) 5.788 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 5.788 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 5.788 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 5.788 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.788 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.788 * [taylor]: Taking taylor expansion of N in N 5.788 * [backup-simplify]: Simplify 0 into 0 5.788 * [backup-simplify]: Simplify 1 into 1 5.788 * [backup-simplify]: Simplify (/ 1 1) into 1 5.788 * [taylor]: Taking taylor expansion of 1.0 in N 5.789 * [backup-simplify]: Simplify 1.0 into 1.0 5.789 * [backup-simplify]: Simplify (+ 1 0) into 1 5.789 * [backup-simplify]: Simplify (log 1) into 0 5.789 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 5.789 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.789 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.789 * [taylor]: Taking taylor expansion of N in N 5.789 * [backup-simplify]: Simplify 0 into 0 5.789 * [backup-simplify]: Simplify 1 into 1 5.790 * [backup-simplify]: Simplify (/ 1 1) into 1 5.790 * [taylor]: Taking taylor expansion of 1.0 in N 5.790 * [backup-simplify]: Simplify 1.0 into 1.0 5.790 * [backup-simplify]: Simplify (+ 1 0) into 1 5.791 * [backup-simplify]: Simplify (log 1) into 0 5.791 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.791 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 5.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.794 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.800 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 5.800 * [backup-simplify]: Simplify 1.0 into 1.0 5.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.801 * [backup-simplify]: Simplify (+ 0 0) into 0 5.812 * [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 5.812 * [backup-simplify]: Simplify -0.5 into -0.5 5.812 * [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)))) 5.813 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 5.813 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 5.813 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 5.813 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.813 * [taylor]: Taking taylor expansion of 1.0 in N 5.813 * [backup-simplify]: Simplify 1.0 into 1.0 5.813 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.813 * [taylor]: Taking taylor expansion of N in N 5.813 * [backup-simplify]: Simplify 0 into 0 5.813 * [backup-simplify]: Simplify 1 into 1 5.813 * [backup-simplify]: Simplify (/ 1 1) into 1 5.813 * [backup-simplify]: Simplify (- 1) into -1 5.814 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.814 * [backup-simplify]: Simplify (log -1) into (log -1) 5.814 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 5.814 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.814 * [taylor]: Taking taylor expansion of 1.0 in N 5.814 * [backup-simplify]: Simplify 1.0 into 1.0 5.814 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.814 * [taylor]: Taking taylor expansion of N in N 5.815 * [backup-simplify]: Simplify 0 into 0 5.815 * [backup-simplify]: Simplify 1 into 1 5.815 * [backup-simplify]: Simplify (/ 1 1) into 1 5.815 * [backup-simplify]: Simplify (- 1) into -1 5.816 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.816 * [backup-simplify]: Simplify (log -1) into (log -1) 5.817 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.818 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 5.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.819 * [backup-simplify]: Simplify (- 0) into 0 5.820 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.826 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 5.826 * [backup-simplify]: Simplify -1.0 into -1.0 5.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.828 * [backup-simplify]: Simplify (- 0) into 0 5.828 * [backup-simplify]: Simplify (+ 0 0) into 0 5.841 * [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 5.841 * [backup-simplify]: Simplify -0.5 into -0.5 5.842 * [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)))) 5.842 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2) 5.842 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 5.842 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 5.842 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 5.842 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.842 * [taylor]: Taking taylor expansion of N in N 5.843 * [backup-simplify]: Simplify 0 into 0 5.843 * [backup-simplify]: Simplify 1 into 1 5.843 * [taylor]: Taking taylor expansion of 1.0 in N 5.843 * [backup-simplify]: Simplify 1.0 into 1.0 5.843 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.843 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.843 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 5.843 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.844 * [taylor]: Taking taylor expansion of N in N 5.844 * [backup-simplify]: Simplify 0 into 0 5.844 * [backup-simplify]: Simplify 1 into 1 5.844 * [taylor]: Taking taylor expansion of 1.0 in N 5.844 * [backup-simplify]: Simplify 1.0 into 1.0 5.844 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.844 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.845 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.845 * [backup-simplify]: Simplify (+ 1 0) into 1 5.848 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 5.848 * [backup-simplify]: Simplify 1.0 into 1.0 5.849 * [backup-simplify]: Simplify (+ 0 0) into 0 5.854 * [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)) 5.855 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 5.856 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (log 1.0))) into (- (+ (log 1.0) (* 1.0 N)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) 5.856 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 5.856 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 5.856 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 5.856 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.856 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.856 * [taylor]: Taking taylor expansion of N in N 5.856 * [backup-simplify]: Simplify 0 into 0 5.856 * [backup-simplify]: Simplify 1 into 1 5.856 * [backup-simplify]: Simplify (/ 1 1) into 1 5.856 * [taylor]: Taking taylor expansion of 1.0 in N 5.856 * [backup-simplify]: Simplify 1.0 into 1.0 5.857 * [backup-simplify]: Simplify (+ 1 0) into 1 5.857 * [backup-simplify]: Simplify (log 1) into 0 5.857 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 5.857 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.857 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.857 * [taylor]: Taking taylor expansion of N in N 5.857 * [backup-simplify]: Simplify 0 into 0 5.857 * [backup-simplify]: Simplify 1 into 1 5.857 * [backup-simplify]: Simplify (/ 1 1) into 1 5.857 * [taylor]: Taking taylor expansion of 1.0 in N 5.857 * [backup-simplify]: Simplify 1.0 into 1.0 5.858 * [backup-simplify]: Simplify (+ 1 0) into 1 5.858 * [backup-simplify]: Simplify (log 1) into 0 5.858 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.858 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 5.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.859 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.862 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 5.862 * [backup-simplify]: Simplify 1.0 into 1.0 5.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.863 * [backup-simplify]: Simplify (+ 0 0) into 0 5.872 * [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 5.872 * [backup-simplify]: Simplify -0.5 into -0.5 5.872 * [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)))) 5.872 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 5.872 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 5.872 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 5.872 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.872 * [taylor]: Taking taylor expansion of 1.0 in N 5.872 * [backup-simplify]: Simplify 1.0 into 1.0 5.872 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.872 * [taylor]: Taking taylor expansion of N in N 5.872 * [backup-simplify]: Simplify 0 into 0 5.872 * [backup-simplify]: Simplify 1 into 1 5.873 * [backup-simplify]: Simplify (/ 1 1) into 1 5.873 * [backup-simplify]: Simplify (- 1) into -1 5.874 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.874 * [backup-simplify]: Simplify (log -1) into (log -1) 5.874 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 5.874 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.874 * [taylor]: Taking taylor expansion of 1.0 in N 5.874 * [backup-simplify]: Simplify 1.0 into 1.0 5.874 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.874 * [taylor]: Taking taylor expansion of N in N 5.874 * [backup-simplify]: Simplify 0 into 0 5.874 * [backup-simplify]: Simplify 1 into 1 5.875 * [backup-simplify]: Simplify (/ 1 1) into 1 5.875 * [backup-simplify]: Simplify (- 1) into -1 5.876 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.876 * [backup-simplify]: Simplify (log -1) into (log -1) 5.877 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.877 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 5.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.878 * [backup-simplify]: Simplify (- 0) into 0 5.879 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.885 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 5.885 * [backup-simplify]: Simplify -1.0 into -1.0 5.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.887 * [backup-simplify]: Simplify (- 0) into 0 5.887 * [backup-simplify]: Simplify (+ 0 0) into 0 5.899 * [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 5.899 * [backup-simplify]: Simplify -0.5 into -0.5 5.900 * [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)))) 5.900 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 5.901 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 5.901 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 5.901 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 5.901 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.901 * [taylor]: Taking taylor expansion of N in N 5.901 * [backup-simplify]: Simplify 0 into 0 5.901 * [backup-simplify]: Simplify 1 into 1 5.901 * [taylor]: Taking taylor expansion of 1.0 in N 5.901 * [backup-simplify]: Simplify 1.0 into 1.0 5.901 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.902 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.902 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 5.902 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.902 * [taylor]: Taking taylor expansion of N in N 5.902 * [backup-simplify]: Simplify 0 into 0 5.902 * [backup-simplify]: Simplify 1 into 1 5.902 * [taylor]: Taking taylor expansion of 1.0 in N 5.902 * [backup-simplify]: Simplify 1.0 into 1.0 5.903 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.903 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.903 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.904 * [backup-simplify]: Simplify (+ 1 0) into 1 5.909 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 5.909 * [backup-simplify]: Simplify 1.0 into 1.0 5.910 * [backup-simplify]: Simplify (+ 0 0) into 0 5.918 * [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)) 5.919 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 5.920 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (log 1.0))) into (- (+ (log 1.0) (* 1.0 N)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) 5.920 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 5.920 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 5.920 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 5.921 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.921 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.921 * [taylor]: Taking taylor expansion of N in N 5.921 * [backup-simplify]: Simplify 0 into 0 5.921 * [backup-simplify]: Simplify 1 into 1 5.921 * [backup-simplify]: Simplify (/ 1 1) into 1 5.921 * [taylor]: Taking taylor expansion of 1.0 in N 5.921 * [backup-simplify]: Simplify 1.0 into 1.0 5.921 * [backup-simplify]: Simplify (+ 1 0) into 1 5.921 * [backup-simplify]: Simplify (log 1) into 0 5.921 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 5.921 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.921 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.921 * [taylor]: Taking taylor expansion of N in N 5.921 * [backup-simplify]: Simplify 0 into 0 5.921 * [backup-simplify]: Simplify 1 into 1 5.922 * [backup-simplify]: Simplify (/ 1 1) into 1 5.922 * [taylor]: Taking taylor expansion of 1.0 in N 5.922 * [backup-simplify]: Simplify 1.0 into 1.0 5.922 * [backup-simplify]: Simplify (+ 1 0) into 1 5.922 * [backup-simplify]: Simplify (log 1) into 0 5.923 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.923 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 5.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.923 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.927 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 5.927 * [backup-simplify]: Simplify 1.0 into 1.0 5.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.928 * [backup-simplify]: Simplify (+ 0 0) into 0 5.934 * [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 5.934 * [backup-simplify]: Simplify -0.5 into -0.5 5.934 * [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)))) 5.934 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 5.934 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 5.934 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 5.935 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.935 * [taylor]: Taking taylor expansion of 1.0 in N 5.935 * [backup-simplify]: Simplify 1.0 into 1.0 5.935 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.935 * [taylor]: Taking taylor expansion of N in N 5.935 * [backup-simplify]: Simplify 0 into 0 5.935 * [backup-simplify]: Simplify 1 into 1 5.935 * [backup-simplify]: Simplify (/ 1 1) into 1 5.935 * [backup-simplify]: Simplify (- 1) into -1 5.935 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.936 * [backup-simplify]: Simplify (log -1) into (log -1) 5.936 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 5.936 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.936 * [taylor]: Taking taylor expansion of 1.0 in N 5.936 * [backup-simplify]: Simplify 1.0 into 1.0 5.936 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.936 * [taylor]: Taking taylor expansion of N in N 5.936 * [backup-simplify]: Simplify 0 into 0 5.936 * [backup-simplify]: Simplify 1 into 1 5.936 * [backup-simplify]: Simplify (/ 1 1) into 1 5.936 * [backup-simplify]: Simplify (- 1) into -1 5.936 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.937 * [backup-simplify]: Simplify (log -1) into (log -1) 5.937 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.938 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 5.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.938 * [backup-simplify]: Simplify (- 0) into 0 5.939 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.942 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 5.942 * [backup-simplify]: Simplify -1.0 into -1.0 5.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.944 * [backup-simplify]: Simplify (- 0) into 0 5.944 * [backup-simplify]: Simplify (+ 0 0) into 0 5.957 * [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 5.958 * [backup-simplify]: Simplify -0.5 into -0.5 5.958 * [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)))) 5.959 * * * [progress]: simplifying candidates 5.961 * [simplify]: Simplifying: (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))) (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))) (- (+ (* 2.0 (* (log 1.0) N)) (+ (* 1.0 (pow N 2)) (pow (log 1.0) 2))) (+ (/ (* (log 1.0) (pow N 2)) (pow 1.0 2)) (pow (log N) 2))) (- (+ (* 1.0 (/ 1 (pow N 2))) (* 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))))) (- (+ (* 2.0 (/ (log -1) N)) (+ (* 1.0 (/ 1 (pow N 2))) (+ (* 1.0 (/ (log (/ -1 N)) (pow N 2))) (* 0.6666666666666666 (/ (log -1) (pow N 3)))))) (+ (* 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))))))) (- (+ (log 1.0) (* 1.0 N)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ (log 1.0) (* 1.0 N)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ (log 1.0) (* 1.0 N)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 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)))) 5.964 * * [simplify]: iteration 0: 162 enodes 6.023 * * [simplify]: iteration 1: 419 enodes 6.207 * * [simplify]: iteration 2: 1246 enodes 7.206 * * [simplify]: iteration 3: 4308 enodes 8.312 * * [simplify]: iteration complete: 5000 enodes 8.312 * * [simplify]: Extracting #0: cost 45 inf + 0 8.313 * * [simplify]: Extracting #1: cost 411 inf + 1 8.326 * * [simplify]: Extracting #2: cost 1066 inf + 1442 8.339 * * [simplify]: Extracting #3: cost 915 inf + 61620 8.383 * * [simplify]: Extracting #4: cost 287 inf + 220152 8.489 * * [simplify]: Extracting #5: cost 43 inf + 327574 8.633 * * [simplify]: Extracting #6: cost 0 inf + 354182 8.752 * * [simplify]: Extracting #7: cost 0 inf + 353882 8.902 * [simplify]: Simplified to: (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (- (* (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))) (* (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)))) (- (* (* (* (log (+ N 1.0)) (log (+ N 1.0))) (* (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) (log N))))) (fma (* (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)))) (* (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)))) (fma (log N) (log N) (* (log (+ N 1.0)) (log (+ N 1.0)))) (+ (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (+ (log (cbrt N)) (log (cbrt N))) (log N))) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log (sqrt N)))) (* (log (+ N 1.0)) (log (+ N 1.0))) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (+ (log (cbrt N)) (log (cbrt N))) (log N))) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log (sqrt N)))) (* (log (+ N 1.0)) (log (+ N 1.0))) (- (* (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 (+ 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 N) (- (log N))) (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (+ (log (cbrt (+ N 1.0))) (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 (fma (* 1.0 1.0) 1.0 (* (* N N) N))) (log (fma 1.0 (- 1.0 N) (* N 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))) (* (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))) (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 (fma (* 1.0 1.0) 1.0 (* (* N N) N))) (log (fma 1.0 (- 1.0 N) (* N 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))) (* (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))) (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 (fma (* 1.0 1.0) 1.0 (* (* N N) N))) (log (fma 1.0 (- 1.0 N) (* N 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))) (* (log (+ N 1.0)) (* (log (+ N 1.0)) (log (+ N 1.0)))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (fma (log 1.0) (log 1.0) (* N (fma 2.0 (log 1.0) (* N 1.0)))) (fma (log N) (log N) (/ (log 1.0) (* (/ 1.0 N) (/ 1.0 N))))) (fma (/ (- (log N)) (* N N)) 1.0 (- (- (/ 1.0 (* N N)) (fma 2.0 (/ (- (log N)) N) (/ 1.0 (* (* N N) N)))) (* (/ 0.6666666666666666 (* N N)) (/ (- (log N)) N)))) (fma (/ (log -1) N) 2.0 (fma (/ 0.6666666666666666 (* (* N N) N)) (log -1) (fma (/ 1.0 (* N N)) (log (/ -1 N)) (- (/ 1.0 (* N N)) (fma 2.0 (/ (log (/ -1 N)) N) (fma (/ 0.6666666666666666 (* (* N N) N)) (log (/ -1 N)) (fma (/ (log -1) (* N N)) 1.0 (/ 1.0 (* (* N N) N))))))))) (fma (* (/ N 1.0) (/ N 1.0)) -1/2 (fma N 1.0 (log 1.0))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (log N)) (+ (log -1) (- (/ 1.0 N) (+ (log (/ -1 N)) (/ 0.5 (* N N))))) (fma (* (/ N 1.0) (/ N 1.0)) -1/2 (fma N 1.0 (log 1.0))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (log N)) (+ (log -1) (- (/ 1.0 N) (+ (log (/ -1 N)) (/ 0.5 (* N N))))) (fma (* (/ N 1.0) (/ N 1.0)) -1/2 (fma N 1.0 (log 1.0))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (log N)) (+ (log -1) (- (/ 1.0 N) (+ (log (/ -1 N)) (/ 0.5 (* N N))))) 8.919 * * * [progress]: adding candidates to table 9.484 * * [progress]: iteration 4 / 4 9.484 * * * [progress]: picking best candidate 9.491 * * * * [pick]: Picked # 9.491 * * * [progress]: localizing error 9.556 * * * [progress]: generating rewritten candidates 9.556 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 9.621 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 9.625 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 2) 9.629 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 1) 9.638 * * * [progress]: generating series expansions 9.638 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 9.638 * [backup-simplify]: Simplify (- (* (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log (+ N 1.0)) (log (+ N 1.0)))) (* (* (log N) (log N)) (* (log N) (log N)))) into (- (pow (log (+ N 1.0)) 4) (pow (log N) 4)) 9.639 * [approximate]: Taking taylor expansion of (- (pow (log (+ N 1.0)) 4) (pow (log N) 4)) in (N) around 0 9.639 * [taylor]: Taking taylor expansion of (- (pow (log (+ N 1.0)) 4) (pow (log N) 4)) in N 9.639 * [taylor]: Taking taylor expansion of (pow (log (+ N 1.0)) 4) in N 9.639 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 9.639 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 9.639 * [taylor]: Taking taylor expansion of N in N 9.639 * [backup-simplify]: Simplify 0 into 0 9.639 * [backup-simplify]: Simplify 1 into 1 9.639 * [taylor]: Taking taylor expansion of 1.0 in N 9.639 * [backup-simplify]: Simplify 1.0 into 1.0 9.640 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.640 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 9.640 * [taylor]: Taking taylor expansion of (pow (log N) 4) in N 9.640 * [taylor]: Taking taylor expansion of (log N) in N 9.640 * [taylor]: Taking taylor expansion of N in N 9.640 * [backup-simplify]: Simplify 0 into 0 9.640 * [backup-simplify]: Simplify 1 into 1 9.641 * [backup-simplify]: Simplify (log 1) into 0 9.641 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 9.641 * [taylor]: Taking taylor expansion of (- (pow (log (+ N 1.0)) 4) (pow (log N) 4)) in N 9.641 * [taylor]: Taking taylor expansion of (pow (log (+ N 1.0)) 4) in N 9.641 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 9.641 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 9.641 * [taylor]: Taking taylor expansion of N in N 9.641 * [backup-simplify]: Simplify 0 into 0 9.641 * [backup-simplify]: Simplify 1 into 1 9.641 * [taylor]: Taking taylor expansion of 1.0 in N 9.642 * [backup-simplify]: Simplify 1.0 into 1.0 9.642 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.642 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 9.642 * [taylor]: Taking taylor expansion of (pow (log N) 4) in N 9.642 * [taylor]: Taking taylor expansion of (log N) in N 9.643 * [taylor]: Taking taylor expansion of N in N 9.643 * [backup-simplify]: Simplify 0 into 0 9.643 * [backup-simplify]: Simplify 1 into 1 9.643 * [backup-simplify]: Simplify (log 1) into 0 9.643 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 9.645 * [backup-simplify]: Simplify (* (log 1.0) (log 1.0)) into (pow (log 1.0) 2) 9.647 * [backup-simplify]: Simplify (* (pow (log 1.0) 2) (pow (log 1.0) 2)) into (pow (log 1.0) 4) 9.648 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 9.648 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 9.648 * [backup-simplify]: Simplify (* (log N) (log N)) into (pow (log N) 2) 9.649 * [backup-simplify]: Simplify (* (pow (log N) 2) (pow (log N) 2)) into (pow (log N) 4) 9.649 * [backup-simplify]: Simplify (- (pow (log N) 4)) into (- (pow (log N) 4)) 9.650 * [backup-simplify]: Simplify (+ (pow (log 1.0) 4) (- (pow (log N) 4))) into (- (pow (log 1.0) 4) (pow (log N) 4)) 9.652 * [backup-simplify]: Simplify (- (pow (log 1.0) 4) (pow (log N) 4)) into (- (pow (log 1.0) 4) (pow (log N) 4)) 9.652 * [backup-simplify]: Simplify (+ 1 0) into 1 9.657 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 9.660 * [backup-simplify]: Simplify (+ (* (log 1.0) 1.0) (* 1.0 (log 1.0))) into (* 2.0 (log 1.0)) 9.665 * [backup-simplify]: Simplify (+ (* (pow (log 1.0) 2) (* 2.0 (log 1.0))) (* (* 2.0 (log 1.0)) (pow (log 1.0) 2))) into (* 4.0 (pow (log 1.0) 3)) 9.665 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 9.666 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 9.666 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 9.666 * [backup-simplify]: Simplify (+ (* (log N) 0) (* 0 (log N))) into 0 9.666 * [backup-simplify]: Simplify (+ (* (pow (log N) 2) 0) (* 0 (pow (log N) 2))) into 0 9.667 * [backup-simplify]: Simplify (- 0) into 0 9.668 * [backup-simplify]: Simplify (+ (* 4.0 (pow (log 1.0) 3)) 0) into (* 4.0 (pow (log 1.0) 3)) 9.669 * [backup-simplify]: Simplify (* 4.0 (pow (log 1.0) 3)) into (* 4.0 (pow (log 1.0) 3)) 9.669 * [backup-simplify]: Simplify (+ 0 0) into 0 9.675 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 9.680 * [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))) 9.692 * [backup-simplify]: Simplify (+ (* (pow (log 1.0) 2) (- 1.0 (/ (log 1.0) (pow 1.0 2)))) (+ (* (* 2.0 (log 1.0)) (* 2.0 (log 1.0))) (* (- 1.0 (/ (log 1.0) (pow 1.0 2))) (pow (log 1.0) 2)))) into (- (* 6.0 (pow (log 1.0) 2)) (* 2 (/ (pow (log 1.0) 3) (pow 1.0 2)))) 9.693 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 9.695 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 9.696 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 9.697 * [backup-simplify]: Simplify (+ (* (log N) 0) (+ (* 0 0) (* 0 (log N)))) into 0 9.697 * [backup-simplify]: Simplify (+ (* (pow (log N) 2) 0) (+ (* 0 0) (* 0 (pow (log N) 2)))) into 0 9.698 * [backup-simplify]: Simplify (- 0) into 0 9.707 * [backup-simplify]: Simplify (+ (- (* 6.0 (pow (log 1.0) 2)) (* 2 (/ (pow (log 1.0) 3) (pow 1.0 2)))) 0) into (- (* 6.0 (pow (log 1.0) 2)) (* 2 (/ (pow (log 1.0) 3) (pow 1.0 2)))) 9.714 * [backup-simplify]: Simplify (- (* 6.0 (pow (log 1.0) 2)) (* 2 (/ (pow (log 1.0) 3) (pow 1.0 2)))) into (- (* 6.0 (pow (log 1.0) 2)) (* 2 (/ (pow (log 1.0) 3) (pow 1.0 2)))) 9.724 * [backup-simplify]: Simplify (+ (* (- (* 6.0 (pow (log 1.0) 2)) (* 2 (/ (pow (log 1.0) 3) (pow 1.0 2)))) (pow N 2)) (+ (* (* 4.0 (pow (log 1.0) 3)) N) (- (pow (log 1.0) 4) (pow (log N) 4)))) into (- (+ (pow (log 1.0) 4) (+ (* 6.0 (* (pow (log 1.0) 2) (pow N 2))) (* 4.0 (* (pow (log 1.0) 3) N)))) (+ (* 2 (/ (* (pow (log 1.0) 3) (pow N 2)) (pow 1.0 2))) (pow (log N) 4))) 9.725 * [backup-simplify]: Simplify (- (* (* (log (+ (/ 1 N) 1.0)) (log (+ (/ 1 N) 1.0))) (* (log (+ (/ 1 N) 1.0)) (log (+ (/ 1 N) 1.0)))) (* (* (log (/ 1 N)) (log (/ 1 N))) (* (log (/ 1 N)) (log (/ 1 N))))) into (- (pow (log (+ (/ 1 N) 1.0)) 4) (pow (log (/ 1 N)) 4)) 9.725 * [approximate]: Taking taylor expansion of (- (pow (log (+ (/ 1 N) 1.0)) 4) (pow (log (/ 1 N)) 4)) in (N) around 0 9.725 * [taylor]: Taking taylor expansion of (- (pow (log (+ (/ 1 N) 1.0)) 4) (pow (log (/ 1 N)) 4)) in N 9.725 * [taylor]: Taking taylor expansion of (pow (log (+ (/ 1 N) 1.0)) 4) in N 9.725 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 9.725 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 9.725 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.725 * [taylor]: Taking taylor expansion of N in N 9.725 * [backup-simplify]: Simplify 0 into 0 9.725 * [backup-simplify]: Simplify 1 into 1 9.728 * [backup-simplify]: Simplify (/ 1 1) into 1 9.728 * [taylor]: Taking taylor expansion of 1.0 in N 9.728 * [backup-simplify]: Simplify 1.0 into 1.0 9.729 * [backup-simplify]: Simplify (+ 1 0) into 1 9.729 * [backup-simplify]: Simplify (log 1) into 0 9.730 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.730 * [taylor]: Taking taylor expansion of (pow (log (/ 1 N)) 4) in N 9.730 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 9.730 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.730 * [taylor]: Taking taylor expansion of N in N 9.730 * [backup-simplify]: Simplify 0 into 0 9.730 * [backup-simplify]: Simplify 1 into 1 9.730 * [backup-simplify]: Simplify (/ 1 1) into 1 9.731 * [backup-simplify]: Simplify (log 1) into 0 9.731 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.731 * [taylor]: Taking taylor expansion of (- (pow (log (+ (/ 1 N) 1.0)) 4) (pow (log (/ 1 N)) 4)) in N 9.731 * [taylor]: Taking taylor expansion of (pow (log (+ (/ 1 N) 1.0)) 4) in N 9.731 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 9.732 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 9.732 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.732 * [taylor]: Taking taylor expansion of N in N 9.732 * [backup-simplify]: Simplify 0 into 0 9.732 * [backup-simplify]: Simplify 1 into 1 9.732 * [backup-simplify]: Simplify (/ 1 1) into 1 9.732 * [taylor]: Taking taylor expansion of 1.0 in N 9.732 * [backup-simplify]: Simplify 1.0 into 1.0 9.733 * [backup-simplify]: Simplify (+ 1 0) into 1 9.733 * [backup-simplify]: Simplify (log 1) into 0 9.733 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.733 * [taylor]: Taking taylor expansion of (pow (log (/ 1 N)) 4) in N 9.733 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 9.733 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.733 * [taylor]: Taking taylor expansion of N in N 9.733 * [backup-simplify]: Simplify 0 into 0 9.733 * [backup-simplify]: Simplify 1 into 1 9.734 * [backup-simplify]: Simplify (/ 1 1) into 1 9.734 * [backup-simplify]: Simplify (log 1) into 0 9.735 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.735 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.736 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.736 * [backup-simplify]: Simplify (* (- (log N)) (- (log N))) into (pow (log N) 2) 9.736 * [backup-simplify]: Simplify (* (pow (log N) 2) (pow (log N) 2)) into (pow (log N) 4) 9.737 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.737 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.737 * [backup-simplify]: Simplify (* (- (log N)) (- (log N))) into (pow (log N) 2) 9.737 * [backup-simplify]: Simplify (* (pow (log N) 2) (pow (log N) 2)) into (pow (log N) 4) 9.738 * [backup-simplify]: Simplify (- (pow (log N) 4)) into (- (pow (log N) 4)) 9.738 * [backup-simplify]: Simplify (+ (pow (log N) 4) (- (pow (log N) 4))) into 0 9.738 * [backup-simplify]: Simplify 0 into 0 9.739 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.740 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.747 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 9.748 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.748 * [backup-simplify]: Simplify (+ (* (- (log N)) 1.0) (* 1.0 (- (log N)))) into (- (* 2.0 (log N))) 9.749 * [backup-simplify]: Simplify (+ (* (pow (log N) 2) (- (* 2.0 (log N)))) (* (- (* 2.0 (log N))) (pow (log N) 2))) into (- (* 4.0 (pow (log N) 3))) 9.749 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.751 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 9.752 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.752 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (* 0 (- (log N)))) into 0 9.752 * [backup-simplify]: Simplify (+ (* (pow (log N) 2) 0) (* 0 (pow (log N) 2))) into 0 9.753 * [backup-simplify]: Simplify (- 0) into 0 9.753 * [backup-simplify]: Simplify (+ (- (* 4.0 (pow (log N) 3))) 0) into (- (* 4.0 (pow (log N) 3))) 9.753 * [backup-simplify]: Simplify (- (* 4.0 (pow (log N) 3))) into (- (* 4.0 (pow (log N) 3))) 9.754 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.755 * [backup-simplify]: Simplify (+ 0 0) into 0 9.767 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 9.768 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.768 * [backup-simplify]: Simplify (+ (* (- (log N)) -0.5) (+ (* 1.0 1.0) (* -0.5 (- (log N))))) into (+ (* 1.0 (log N)) 1.0) 9.769 * [backup-simplify]: Simplify (+ (* (pow (log N) 2) (+ (* 1.0 (log N)) 1.0)) (+ (* (- (* 2.0 (log N))) (- (* 2.0 (log N)))) (* (+ (* 1.0 (log N)) 1.0) (pow (log N) 2)))) into (+ (* 6.0 (pow (log N) 2)) (* 2.0 (pow (log N) 3))) 9.770 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.772 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 9.772 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.773 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 9.773 * [backup-simplify]: Simplify (+ (* (pow (log N) 2) 0) (+ (* 0 0) (* 0 (pow (log N) 2)))) into 0 9.773 * [backup-simplify]: Simplify (- 0) into 0 9.774 * [backup-simplify]: Simplify (+ (+ (* 6.0 (pow (log N) 2)) (* 2.0 (pow (log N) 3))) 0) into (+ (* 6.0 (pow (log N) 2)) (* 2.0 (pow (log N) 3))) 9.774 * [backup-simplify]: Simplify (+ (* 6.0 (pow (log N) 2)) (* 2.0 (pow (log N) 3))) into (+ (* 6.0 (pow (log N) 2)) (* 2.0 (pow (log N) 3))) 9.774 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.775 * [backup-simplify]: Simplify (+ 0 0) into 0 9.785 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 9.785 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.786 * [backup-simplify]: Simplify (+ (* (- (log N)) 0.3333333333333333) (+ (* 1.0 -0.5) (+ (* -0.5 1.0) (* 0.3333333333333333 (- (log N)))))) into (- (+ (* 0.6666666666666666 (log N)) 1.0)) 9.787 * [backup-simplify]: Simplify (+ (* (pow (log N) 2) (- (+ (* 0.6666666666666666 (log N)) 1.0))) (+ (* (- (* 2.0 (log N))) (+ (* 1.0 (log N)) 1.0)) (+ (* (+ (* 1.0 (log N)) 1.0) (- (* 2.0 (log N)))) (* (- (+ (* 0.6666666666666666 (log N)) 1.0)) (pow (log N) 2))))) into (- (+ (* 4.0 (log N)) (+ (* 6.0 (pow (log N) 2)) (* 1.3333333333333333 (pow (log N) 3))))) 9.787 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.790 * [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 9.791 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.791 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 9.792 * [backup-simplify]: Simplify (+ (* (pow (log N) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (log N) 2))))) into 0 9.792 * [backup-simplify]: Simplify (- 0) into 0 9.793 * [backup-simplify]: Simplify (+ (- (+ (* 4.0 (log N)) (+ (* 6.0 (pow (log N) 2)) (* 1.3333333333333333 (pow (log N) 3))))) 0) into (- (+ (* 4.0 (log N)) (+ (* 6.0 (pow (log N) 2)) (* 1.3333333333333333 (pow (log N) 3))))) 9.793 * [backup-simplify]: Simplify (- (+ (* 4.0 (log N)) (+ (* 6.0 (pow (log N) 2)) (* 1.3333333333333333 (pow (log N) 3))))) into (- (+ (* 4.0 (log N)) (+ (* 6.0 (pow (log N) 2)) (* 1.3333333333333333 (pow (log N) 3))))) 9.795 * [backup-simplify]: Simplify (+ (* (- (+ (* 4.0 (log (/ 1 N))) (+ (* 6.0 (pow (log (/ 1 N)) 2)) (* 1.3333333333333333 (pow (log (/ 1 N)) 3))))) (pow (/ 1 N) 3)) (+ (* (+ (* 6.0 (pow (log (/ 1 N)) 2)) (* 2.0 (pow (log (/ 1 N)) 3))) (pow (/ 1 N) 2)) (* (- (* 4.0 (pow (log (/ 1 N)) 3))) (/ 1 N)))) into (- (+ (* 6.0 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (* 2.0 (/ (pow (log (/ 1 N)) 3) (pow N 2)))) (+ (* 4.0 (/ (pow (log (/ 1 N)) 3) N)) (+ (* 1.3333333333333333 (/ (pow (log (/ 1 N)) 3) (pow N 3))) (+ (* 4.0 (/ (log (/ 1 N)) (pow N 3))) (* 6.0 (/ (pow (log (/ 1 N)) 2) (pow N 3))))))) 9.795 * [backup-simplify]: Simplify (- (* (* (log (+ (/ 1 (- N)) 1.0)) (log (+ (/ 1 (- N)) 1.0))) (* (log (+ (/ 1 (- N)) 1.0)) (log (+ (/ 1 (- N)) 1.0)))) (* (* (log (/ 1 (- N))) (log (/ 1 (- N)))) (* (log (/ 1 (- N))) (log (/ 1 (- N)))))) into (- (pow (log (- 1.0 (/ 1 N))) 4) (pow (log (/ -1 N)) 4)) 9.795 * [approximate]: Taking taylor expansion of (- (pow (log (- 1.0 (/ 1 N))) 4) (pow (log (/ -1 N)) 4)) in (N) around 0 9.795 * [taylor]: Taking taylor expansion of (- (pow (log (- 1.0 (/ 1 N))) 4) (pow (log (/ -1 N)) 4)) in N 9.795 * [taylor]: Taking taylor expansion of (pow (log (- 1.0 (/ 1 N))) 4) in N 9.795 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 9.795 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 9.795 * [taylor]: Taking taylor expansion of 1.0 in N 9.795 * [backup-simplify]: Simplify 1.0 into 1.0 9.795 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.795 * [taylor]: Taking taylor expansion of N in N 9.795 * [backup-simplify]: Simplify 0 into 0 9.795 * [backup-simplify]: Simplify 1 into 1 9.796 * [backup-simplify]: Simplify (/ 1 1) into 1 9.796 * [backup-simplify]: Simplify (- 1) into -1 9.796 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.797 * [backup-simplify]: Simplify (log -1) into (log -1) 9.797 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 9.797 * [taylor]: Taking taylor expansion of (pow (log (/ -1 N)) 4) in N 9.797 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 9.797 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.797 * [taylor]: Taking taylor expansion of -1 in N 9.797 * [backup-simplify]: Simplify -1 into -1 9.797 * [taylor]: Taking taylor expansion of N in N 9.797 * [backup-simplify]: Simplify 0 into 0 9.797 * [backup-simplify]: Simplify 1 into 1 9.797 * [backup-simplify]: Simplify (/ -1 1) into -1 9.798 * [backup-simplify]: Simplify (log -1) into (log -1) 9.798 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 9.798 * [taylor]: Taking taylor expansion of (- (pow (log (- 1.0 (/ 1 N))) 4) (pow (log (/ -1 N)) 4)) in N 9.798 * [taylor]: Taking taylor expansion of (pow (log (- 1.0 (/ 1 N))) 4) in N 9.798 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 9.798 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 9.798 * [taylor]: Taking taylor expansion of 1.0 in N 9.798 * [backup-simplify]: Simplify 1.0 into 1.0 9.798 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.798 * [taylor]: Taking taylor expansion of N in N 9.798 * [backup-simplify]: Simplify 0 into 0 9.798 * [backup-simplify]: Simplify 1 into 1 9.799 * [backup-simplify]: Simplify (/ 1 1) into 1 9.799 * [backup-simplify]: Simplify (- 1) into -1 9.799 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.799 * [backup-simplify]: Simplify (log -1) into (log -1) 9.800 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 9.800 * [taylor]: Taking taylor expansion of (pow (log (/ -1 N)) 4) in N 9.800 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 9.800 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.800 * [taylor]: Taking taylor expansion of -1 in N 9.800 * [backup-simplify]: Simplify -1 into -1 9.800 * [taylor]: Taking taylor expansion of N in N 9.800 * [backup-simplify]: Simplify 0 into 0 9.800 * [backup-simplify]: Simplify 1 into 1 9.800 * [backup-simplify]: Simplify (/ -1 1) into -1 9.801 * [backup-simplify]: Simplify (log -1) into (log -1) 9.801 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 9.802 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 9.802 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 9.803 * [backup-simplify]: Simplify (* (- (log -1) (log N)) (- (log -1) (log N))) into (pow (- (log -1) (log N)) 2) 9.803 * [backup-simplify]: Simplify (* (pow (- (log -1) (log N)) 2) (pow (- (log -1) (log N)) 2)) into (pow (- (log -1) (log N)) 4) 9.804 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 9.804 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 9.805 * [backup-simplify]: Simplify (* (- (log -1) (log N)) (- (log -1) (log N))) into (pow (- (log -1) (log N)) 2) 9.806 * [backup-simplify]: Simplify (* (pow (- (log -1) (log N)) 2) (pow (- (log -1) (log N)) 2)) into (pow (- (log -1) (log N)) 4) 9.806 * [backup-simplify]: Simplify (- (pow (- (log -1) (log N)) 4)) into (- (+ (* 4 (* (log N) (pow (log -1) 3))) (* 4 (* (pow (log N) 3) (log -1)))) (+ (pow (log -1) 4) (+ (pow (log N) 4) (* 6 (* (pow (log N) 2) (pow (log -1) 2)))))) 9.809 * [backup-simplify]: Simplify (+ (pow (- (log -1) (log N)) 4) (- (+ (* 4 (* (log N) (pow (log -1) 3))) (* 4 (* (pow (log N) 3) (log -1)))) (+ (pow (log -1) 4) (+ (pow (log N) 4) (* 6 (* (pow (log N) 2) (pow (log -1) 2))))))) into 0 9.809 * [backup-simplify]: Simplify 0 into 0 9.810 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 9.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.811 * [backup-simplify]: Simplify (- 0) into 0 9.811 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.815 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 9.815 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 9.816 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) -1.0) (* -1.0 (- (log -1) (log N)))) into (- (* 2.0 (log N)) (* 2.0 (log -1))) 9.818 * [backup-simplify]: Simplify (+ (* (pow (- (log -1) (log N)) 2) (- (* 2.0 (log N)) (* 2.0 (log -1)))) (* (- (* 2.0 (log N)) (* 2.0 (log -1))) (pow (- (log -1) (log N)) 2))) into (- (+ (* 4.0 (pow (log N) 3)) (* 12.0 (* (log N) (pow (log -1) 2)))) (+ (* 12.0 (* (pow (log N) 2) (log -1))) (* 4.0 (pow (log -1) 3)))) 9.818 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 9.819 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.820 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 9.820 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 9.821 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (* 0 (- (log -1) (log N)))) into 0 9.822 * [backup-simplify]: Simplify (+ (* (pow (- (log -1) (log N)) 2) 0) (* 0 (pow (- (log -1) (log N)) 2))) into 0 9.822 * [backup-simplify]: Simplify (- 0) into 0 9.825 * [backup-simplify]: Simplify (+ (- (+ (* 4.0 (pow (log N) 3)) (* 12.0 (* (log N) (pow (log -1) 2)))) (+ (* 12.0 (* (pow (log N) 2) (log -1))) (* 4.0 (pow (log -1) 3)))) 0) into (- (+ (* 4.0 (pow (log N) 3)) (* 12.0 (* (log N) (pow (log -1) 2)))) (+ (* 12.0 (* (pow (log N) 2) (log -1))) (* 4.0 (pow (log -1) 3)))) 9.827 * [backup-simplify]: Simplify (- (+ (* 4.0 (pow (log N) 3)) (* 12.0 (* (log N) (pow (log -1) 2)))) (+ (* 12.0 (* (pow (log N) 2) (log -1))) (* 4.0 (pow (log -1) 3)))) into (- (+ (* 4.0 (pow (log N) 3)) (* 12.0 (* (log N) (pow (log -1) 2)))) (+ (* 12.0 (* (pow (log N) 2) (log -1))) (* 4.0 (pow (log -1) 3)))) 9.827 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 9.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.828 * [backup-simplify]: Simplify (- 0) into 0 9.828 * [backup-simplify]: Simplify (+ 0 0) into 0 9.841 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 9.842 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 9.843 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) -0.5) (+ (* -1.0 -1.0) (* -0.5 (- (log -1) (log N))))) into (- (+ (* 1.0 (log N)) 1.0) (* 1.0 (log -1))) 9.849 * [backup-simplify]: Simplify (+ (* (pow (- (log -1) (log N)) 2) (- (+ (* 1.0 (log N)) 1.0) (* 1.0 (log -1)))) (+ (* (- (* 2.0 (log N)) (* 2.0 (log -1))) (- (* 2.0 (log N)) (* 2.0 (log -1)))) (* (- (+ (* 1.0 (log N)) 1.0) (* 1.0 (log -1))) (pow (- (log -1) (log N)) 2)))) into (- (+ (* 6.0 (pow (log N) 2)) (+ (* 2.0 (pow (log N) 3)) (+ (* 6.0 (pow (log -1) 2)) (* 6.0 (* (log N) (pow (log -1) 2)))))) (+ (* 12.0 (* (log N) (log -1))) (+ (* 2.0 (pow (log -1) 3)) (* 6.0 (* (pow (log N) 2) (log -1)))))) 9.850 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 9.851 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.854 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 9.855 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 9.856 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))) into 0 9.857 * [backup-simplify]: Simplify (+ (* (pow (- (log -1) (log N)) 2) 0) (+ (* 0 0) (* 0 (pow (- (log -1) (log N)) 2)))) into 0 9.858 * [backup-simplify]: Simplify (- 0) into 0 9.865 * [backup-simplify]: Simplify (+ (- (+ (* 6.0 (pow (log N) 2)) (+ (* 2.0 (pow (log N) 3)) (+ (* 6.0 (pow (log -1) 2)) (* 6.0 (* (log N) (pow (log -1) 2)))))) (+ (* 12.0 (* (log N) (log -1))) (+ (* 2.0 (pow (log -1) 3)) (* 6.0 (* (pow (log N) 2) (log -1)))))) 0) into (- (+ (* 6.0 (pow (log N) 2)) (+ (* 2.0 (pow (log N) 3)) (+ (* 6.0 (* (log N) (pow (log -1) 2))) (* 6.0 (pow (log -1) 2))))) (+ (* 12.0 (* (log N) (log -1))) (+ (* 2.0 (pow (log -1) 3)) (* 6.0 (* (pow (log N) 2) (log -1)))))) 9.871 * [backup-simplify]: Simplify (- (+ (* 6.0 (pow (log N) 2)) (+ (* 2.0 (pow (log N) 3)) (+ (* 6.0 (* (log N) (pow (log -1) 2))) (* 6.0 (pow (log -1) 2))))) (+ (* 12.0 (* (log N) (log -1))) (+ (* 2.0 (pow (log -1) 3)) (* 6.0 (* (pow (log N) 2) (log -1)))))) into (- (+ (* 6.0 (pow (log N) 2)) (+ (* 2.0 (pow (log N) 3)) (+ (* 6.0 (* (log N) (pow (log -1) 2))) (* 6.0 (pow (log -1) 2))))) (+ (* 12.0 (* (log N) (log -1))) (+ (* 2.0 (pow (log -1) 3)) (* 6.0 (* (pow (log N) 2) (log -1)))))) 9.872 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 9.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.874 * [backup-simplify]: Simplify (- 0) into 0 9.874 * [backup-simplify]: Simplify (+ 0 0) into 0 9.895 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -0.3333333333333333 9.896 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 9.898 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) -0.3333333333333333) (+ (* -1.0 -0.5) (+ (* -0.5 -1.0) (* -0.3333333333333333 (- (log -1) (log N)))))) into (- (+ (* 0.6666666666666666 (log N)) 1.0) (* 0.6666666666666666 (log -1))) 9.908 * [backup-simplify]: Simplify (+ (* (pow (- (log -1) (log N)) 2) (- (+ (* 0.6666666666666666 (log N)) 1.0) (* 0.6666666666666666 (log -1)))) (+ (* (- (* 2.0 (log N)) (* 2.0 (log -1))) (- (+ (* 1.0 (log N)) 1.0) (* 1.0 (log -1)))) (+ (* (- (+ (* 1.0 (log N)) 1.0) (* 1.0 (log -1))) (- (* 2.0 (log N)) (* 2.0 (log -1)))) (* (- (+ (* 0.6666666666666666 (log N)) 1.0) (* 0.6666666666666666 (log -1))) (pow (- (log -1) (log N)) 2))))) into (- (+ (* 4.0 (log N)) (+ (* 6.0 (pow (log N) 2)) (+ (* 1.3333333333333333 (pow (log N) 3)) (+ (* 6.0 (pow (log -1) 2)) (* 4.0 (* (log N) (pow (log -1) 2))))))) (+ (* 12.0 (* (log N) (log -1))) (+ (* 4.0 (log -1)) (+ (* 1.3333333333333333 (pow (log -1) 3)) (* 4.0 (* (pow (log N) 2) (log -1))))))) 9.909 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 9.910 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.916 * [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 9.917 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 9.919 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N)))))) into 0 9.921 * [backup-simplify]: Simplify (+ (* (pow (- (log -1) (log N)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (- (log -1) (log N)) 2))))) into 0 9.921 * [backup-simplify]: Simplify (- 0) into 0 9.931 * [backup-simplify]: Simplify (+ (- (+ (* 4.0 (log N)) (+ (* 6.0 (pow (log N) 2)) (+ (* 1.3333333333333333 (pow (log N) 3)) (+ (* 6.0 (pow (log -1) 2)) (* 4.0 (* (log N) (pow (log -1) 2))))))) (+ (* 12.0 (* (log N) (log -1))) (+ (* 4.0 (log -1)) (+ (* 1.3333333333333333 (pow (log -1) 3)) (* 4.0 (* (pow (log N) 2) (log -1))))))) 0) into (- (+ (* 4.0 (log N)) (+ (* 6.0 (pow (log N) 2)) (+ (* 1.3333333333333333 (pow (log N) 3)) (+ (* 6.0 (pow (log -1) 2)) (* 4.0 (* (log N) (pow (log -1) 2))))))) (+ (* 4.0 (* (pow (log N) 2) (log -1))) (+ (* 4.0 (log -1)) (+ (* 12.0 (* (log N) (log -1))) (* 1.3333333333333333 (pow (log -1) 3)))))) 9.936 * [backup-simplify]: Simplify (- (+ (* 4.0 (log N)) (+ (* 6.0 (pow (log N) 2)) (+ (* 1.3333333333333333 (pow (log N) 3)) (+ (* 6.0 (pow (log -1) 2)) (* 4.0 (* (log N) (pow (log -1) 2))))))) (+ (* 4.0 (* (pow (log N) 2) (log -1))) (+ (* 4.0 (log -1)) (+ (* 12.0 (* (log N) (log -1))) (* 1.3333333333333333 (pow (log -1) 3)))))) into (- (+ (* 4.0 (log N)) (+ (* 6.0 (pow (log N) 2)) (+ (* 1.3333333333333333 (pow (log N) 3)) (+ (* 4.0 (* (log N) (pow (log -1) 2))) (* 6.0 (pow (log -1) 2)))))) (+ (* 4.0 (* (pow (log N) 2) (log -1))) (+ (* 4.0 (log -1)) (+ (* 12.0 (* (log N) (log -1))) (* 1.3333333333333333 (pow (log -1) 3)))))) 9.949 * [backup-simplify]: Simplify (+ (* (- (+ (* 4.0 (log (/ 1 (- N)))) (+ (* 6.0 (pow (log (/ 1 (- N))) 2)) (+ (* 1.3333333333333333 (pow (log (/ 1 (- N))) 3)) (+ (* 4.0 (* (log (/ 1 (- N))) (pow (log -1) 2))) (* 6.0 (pow (log -1) 2)))))) (+ (* 4.0 (* (pow (log (/ 1 (- N))) 2) (log -1))) (+ (* 4.0 (log -1)) (+ (* 12.0 (* (log (/ 1 (- N))) (log -1))) (* 1.3333333333333333 (pow (log -1) 3)))))) (pow (/ 1 (- N)) 3)) (+ (* (- (+ (* 6.0 (pow (log (/ 1 (- N))) 2)) (+ (* 2.0 (pow (log (/ 1 (- N))) 3)) (+ (* 6.0 (* (log (/ 1 (- N))) (pow (log -1) 2))) (* 6.0 (pow (log -1) 2))))) (+ (* 12.0 (* (log (/ 1 (- N))) (log -1))) (+ (* 2.0 (pow (log -1) 3)) (* 6.0 (* (pow (log (/ 1 (- N))) 2) (log -1)))))) (pow (/ 1 (- N)) 2)) (* (- (+ (* 4.0 (pow (log (/ 1 (- N))) 3)) (* 12.0 (* (log (/ 1 (- N))) (pow (log -1) 2)))) (+ (* 12.0 (* (pow (log (/ 1 (- N))) 2) (log -1))) (* 4.0 (pow (log -1) 3)))) (/ 1 (- N))))) into (- (+ (* 1.3333333333333333 (/ (pow (log -1) 3) (pow N 3))) (+ (* 6.0 (/ (pow (log -1) 2) (pow N 2))) (+ (* 2.0 (/ (pow (log (/ -1 N)) 3) (pow N 2))) (+ (* 4.0 (/ (log -1) (pow N 3))) (+ (* 6.0 (/ (* (log (/ -1 N)) (pow (log -1) 2)) (pow N 2))) (+ (* 12.0 (/ (* (pow (log (/ -1 N)) 2) (log -1)) N)) (+ (* 4.0 (/ (pow (log -1) 3) N)) (+ (* 12.0 (/ (* (log (/ -1 N)) (log -1)) (pow N 3))) (+ (* 6.0 (/ (pow (log (/ -1 N)) 2) (pow N 2))) (* 4.0 (/ (* (pow (log (/ -1 N)) 2) (log -1)) (pow N 3)))))))))))) (+ (* 12.0 (/ (* (log (/ -1 N)) (log -1)) (pow N 2))) (+ (* 2.0 (/ (pow (log -1) 3) (pow N 2))) (+ (* 4.0 (/ (log (/ -1 N)) (pow N 3))) (+ (* 12.0 (/ (* (log (/ -1 N)) (pow (log -1) 2)) N)) (+ (* 6.0 (/ (pow (log (/ -1 N)) 2) (pow N 3))) (+ (* 1.3333333333333333 (/ (pow (log (/ -1 N)) 3) (pow N 3))) (+ (* 4.0 (/ (pow (log (/ -1 N)) 3) N)) (+ (* 6.0 (/ (pow (log -1) 2) (pow N 3))) (+ (* 4.0 (/ (* (log (/ -1 N)) (pow (log -1) 2)) (pow N 3))) (* 6.0 (/ (* (pow (log (/ -1 N)) 2) (log -1)) (pow N 2))))))))))))) 9.949 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 9.949 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 9.949 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 9.949 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 9.949 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 9.949 * [taylor]: Taking taylor expansion of N in N 9.949 * [backup-simplify]: Simplify 0 into 0 9.949 * [backup-simplify]: Simplify 1 into 1 9.949 * [taylor]: Taking taylor expansion of 1.0 in N 9.949 * [backup-simplify]: Simplify 1.0 into 1.0 9.950 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.950 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 9.950 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 9.950 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 9.950 * [taylor]: Taking taylor expansion of N in N 9.950 * [backup-simplify]: Simplify 0 into 0 9.950 * [backup-simplify]: Simplify 1 into 1 9.950 * [taylor]: Taking taylor expansion of 1.0 in N 9.950 * [backup-simplify]: Simplify 1.0 into 1.0 9.950 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.950 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 9.951 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 9.951 * [backup-simplify]: Simplify (+ 1 0) into 1 9.954 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 9.954 * [backup-simplify]: Simplify 1.0 into 1.0 9.954 * [backup-simplify]: Simplify (+ 0 0) into 0 9.960 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 9.961 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 9.962 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (log 1.0))) into (- (+ (log 1.0) (* 1.0 N)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) 9.962 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 9.962 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 9.962 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 9.962 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 9.962 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.962 * [taylor]: Taking taylor expansion of N in N 9.962 * [backup-simplify]: Simplify 0 into 0 9.962 * [backup-simplify]: Simplify 1 into 1 9.962 * [backup-simplify]: Simplify (/ 1 1) into 1 9.962 * [taylor]: Taking taylor expansion of 1.0 in N 9.963 * [backup-simplify]: Simplify 1.0 into 1.0 9.963 * [backup-simplify]: Simplify (+ 1 0) into 1 9.963 * [backup-simplify]: Simplify (log 1) into 0 9.963 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 9.963 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 9.963 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.963 * [taylor]: Taking taylor expansion of N in N 9.963 * [backup-simplify]: Simplify 0 into 0 9.963 * [backup-simplify]: Simplify 1 into 1 9.963 * [backup-simplify]: Simplify (/ 1 1) into 1 9.963 * [taylor]: Taking taylor expansion of 1.0 in N 9.963 * [backup-simplify]: Simplify 1.0 into 1.0 9.964 * [backup-simplify]: Simplify (+ 1 0) into 1 9.964 * [backup-simplify]: Simplify (log 1) into 0 9.964 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.964 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 9.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.965 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.970 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 9.970 * [backup-simplify]: Simplify 1.0 into 1.0 9.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.971 * [backup-simplify]: Simplify (+ 0 0) into 0 9.977 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 9.977 * [backup-simplify]: Simplify -0.5 into -0.5 9.978 * [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)))) 9.978 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 9.978 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 9.978 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 9.978 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 9.978 * [taylor]: Taking taylor expansion of 1.0 in N 9.978 * [backup-simplify]: Simplify 1.0 into 1.0 9.978 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.978 * [taylor]: Taking taylor expansion of N in N 9.978 * [backup-simplify]: Simplify 0 into 0 9.978 * [backup-simplify]: Simplify 1 into 1 9.978 * [backup-simplify]: Simplify (/ 1 1) into 1 9.978 * [backup-simplify]: Simplify (- 1) into -1 9.979 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.979 * [backup-simplify]: Simplify (log -1) into (log -1) 9.979 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 9.979 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 9.979 * [taylor]: Taking taylor expansion of 1.0 in N 9.979 * [backup-simplify]: Simplify 1.0 into 1.0 9.979 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.979 * [taylor]: Taking taylor expansion of N in N 9.979 * [backup-simplify]: Simplify 0 into 0 9.979 * [backup-simplify]: Simplify 1 into 1 9.979 * [backup-simplify]: Simplify (/ 1 1) into 1 9.980 * [backup-simplify]: Simplify (- 1) into -1 9.980 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.980 * [backup-simplify]: Simplify (log -1) into (log -1) 9.981 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 9.981 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 9.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.982 * [backup-simplify]: Simplify (- 0) into 0 9.983 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.987 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 9.987 * [backup-simplify]: Simplify -1.0 into -1.0 9.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.988 * [backup-simplify]: Simplify (- 0) into 0 9.988 * [backup-simplify]: Simplify (+ 0 0) into 0 9.994 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 9.994 * [backup-simplify]: Simplify -0.5 into -0.5 9.995 * [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)))) 9.995 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 2) 9.995 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 9.995 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 9.995 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 9.995 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 9.995 * [taylor]: Taking taylor expansion of N in N 9.995 * [backup-simplify]: Simplify 0 into 0 9.995 * [backup-simplify]: Simplify 1 into 1 9.995 * [taylor]: Taking taylor expansion of 1.0 in N 9.995 * [backup-simplify]: Simplify 1.0 into 1.0 9.995 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.996 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 9.996 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 9.996 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 9.996 * [taylor]: Taking taylor expansion of N in N 9.996 * [backup-simplify]: Simplify 0 into 0 9.996 * [backup-simplify]: Simplify 1 into 1 9.996 * [taylor]: Taking taylor expansion of 1.0 in N 9.996 * [backup-simplify]: Simplify 1.0 into 1.0 9.996 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.996 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 9.997 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 9.997 * [backup-simplify]: Simplify (+ 1 0) into 1 10.000 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 10.000 * [backup-simplify]: Simplify 1.0 into 1.0 10.000 * [backup-simplify]: Simplify (+ 0 0) into 0 10.006 * [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)) 10.007 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 10.008 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (log 1.0))) into (- (+ (log 1.0) (* 1.0 N)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) 10.008 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 10.008 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 10.008 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 10.008 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 10.008 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.008 * [taylor]: Taking taylor expansion of N in N 10.008 * [backup-simplify]: Simplify 0 into 0 10.008 * [backup-simplify]: Simplify 1 into 1 10.009 * [backup-simplify]: Simplify (/ 1 1) into 1 10.009 * [taylor]: Taking taylor expansion of 1.0 in N 10.009 * [backup-simplify]: Simplify 1.0 into 1.0 10.009 * [backup-simplify]: Simplify (+ 1 0) into 1 10.009 * [backup-simplify]: Simplify (log 1) into 0 10.009 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 10.009 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 10.009 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.009 * [taylor]: Taking taylor expansion of N in N 10.009 * [backup-simplify]: Simplify 0 into 0 10.009 * [backup-simplify]: Simplify 1 into 1 10.010 * [backup-simplify]: Simplify (/ 1 1) into 1 10.010 * [taylor]: Taking taylor expansion of 1.0 in N 10.010 * [backup-simplify]: Simplify 1.0 into 1.0 10.010 * [backup-simplify]: Simplify (+ 1 0) into 1 10.010 * [backup-simplify]: Simplify (log 1) into 0 10.011 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.011 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 10.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.012 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 10.015 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 10.015 * [backup-simplify]: Simplify 1.0 into 1.0 10.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.016 * [backup-simplify]: Simplify (+ 0 0) into 0 10.023 * [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 10.024 * [backup-simplify]: Simplify -0.5 into -0.5 10.025 * [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)))) 10.025 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 10.025 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 10.025 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 10.025 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 10.025 * [taylor]: Taking taylor expansion of 1.0 in N 10.025 * [backup-simplify]: Simplify 1.0 into 1.0 10.025 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.025 * [taylor]: Taking taylor expansion of N in N 10.025 * [backup-simplify]: Simplify 0 into 0 10.025 * [backup-simplify]: Simplify 1 into 1 10.026 * [backup-simplify]: Simplify (/ 1 1) into 1 10.026 * [backup-simplify]: Simplify (- 1) into -1 10.027 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.027 * [backup-simplify]: Simplify (log -1) into (log -1) 10.027 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 10.027 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 10.027 * [taylor]: Taking taylor expansion of 1.0 in N 10.027 * [backup-simplify]: Simplify 1.0 into 1.0 10.027 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.027 * [taylor]: Taking taylor expansion of N in N 10.027 * [backup-simplify]: Simplify 0 into 0 10.027 * [backup-simplify]: Simplify 1 into 1 10.028 * [backup-simplify]: Simplify (/ 1 1) into 1 10.028 * [backup-simplify]: Simplify (- 1) into -1 10.028 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.029 * [backup-simplify]: Simplify (log -1) into (log -1) 10.030 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.030 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 10.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.031 * [backup-simplify]: Simplify (- 0) into 0 10.032 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.038 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 10.038 * [backup-simplify]: Simplify -1.0 into -1.0 10.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.039 * [backup-simplify]: Simplify (- 0) into 0 10.040 * [backup-simplify]: Simplify (+ 0 0) into 0 10.052 * [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 10.052 * [backup-simplify]: Simplify -0.5 into -0.5 10.053 * [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)))) 10.053 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 1) 10.053 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 10.053 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 10.053 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 10.053 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 10.053 * [taylor]: Taking taylor expansion of N in N 10.053 * [backup-simplify]: Simplify 0 into 0 10.053 * [backup-simplify]: Simplify 1 into 1 10.053 * [taylor]: Taking taylor expansion of 1.0 in N 10.053 * [backup-simplify]: Simplify 1.0 into 1.0 10.054 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 10.054 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 10.054 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 10.054 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 10.054 * [taylor]: Taking taylor expansion of N in N 10.054 * [backup-simplify]: Simplify 0 into 0 10.054 * [backup-simplify]: Simplify 1 into 1 10.054 * [taylor]: Taking taylor expansion of 1.0 in N 10.054 * [backup-simplify]: Simplify 1.0 into 1.0 10.055 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 10.055 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 10.056 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 10.056 * [backup-simplify]: Simplify (+ 1 0) into 1 10.063 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 10.063 * [backup-simplify]: Simplify 1.0 into 1.0 10.063 * [backup-simplify]: Simplify (+ 0 0) into 0 10.074 * [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)) 10.075 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 10.077 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (log 1.0))) into (- (+ (log 1.0) (* 1.0 N)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) 10.077 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 10.077 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 10.077 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 10.077 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 10.077 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.077 * [taylor]: Taking taylor expansion of N in N 10.077 * [backup-simplify]: Simplify 0 into 0 10.077 * [backup-simplify]: Simplify 1 into 1 10.080 * [backup-simplify]: Simplify (/ 1 1) into 1 10.080 * [taylor]: Taking taylor expansion of 1.0 in N 10.080 * [backup-simplify]: Simplify 1.0 into 1.0 10.081 * [backup-simplify]: Simplify (+ 1 0) into 1 10.081 * [backup-simplify]: Simplify (log 1) into 0 10.081 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 10.081 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 10.081 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.081 * [taylor]: Taking taylor expansion of N in N 10.081 * [backup-simplify]: Simplify 0 into 0 10.081 * [backup-simplify]: Simplify 1 into 1 10.082 * [backup-simplify]: Simplify (/ 1 1) into 1 10.082 * [taylor]: Taking taylor expansion of 1.0 in N 10.082 * [backup-simplify]: Simplify 1.0 into 1.0 10.082 * [backup-simplify]: Simplify (+ 1 0) into 1 10.083 * [backup-simplify]: Simplify (log 1) into 0 10.083 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.083 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 10.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.084 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 10.091 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 10.091 * [backup-simplify]: Simplify 1.0 into 1.0 10.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.092 * [backup-simplify]: Simplify (+ 0 0) into 0 10.104 * [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 10.104 * [backup-simplify]: Simplify -0.5 into -0.5 10.105 * [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)))) 10.105 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 10.105 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 10.105 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 10.105 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 10.105 * [taylor]: Taking taylor expansion of 1.0 in N 10.105 * [backup-simplify]: Simplify 1.0 into 1.0 10.105 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.105 * [taylor]: Taking taylor expansion of N in N 10.105 * [backup-simplify]: Simplify 0 into 0 10.105 * [backup-simplify]: Simplify 1 into 1 10.105 * [backup-simplify]: Simplify (/ 1 1) into 1 10.106 * [backup-simplify]: Simplify (- 1) into -1 10.106 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.107 * [backup-simplify]: Simplify (log -1) into (log -1) 10.107 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 10.107 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 10.107 * [taylor]: Taking taylor expansion of 1.0 in N 10.107 * [backup-simplify]: Simplify 1.0 into 1.0 10.107 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.107 * [taylor]: Taking taylor expansion of N in N 10.107 * [backup-simplify]: Simplify 0 into 0 10.107 * [backup-simplify]: Simplify 1 into 1 10.107 * [backup-simplify]: Simplify (/ 1 1) into 1 10.108 * [backup-simplify]: Simplify (- 1) into -1 10.108 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.108 * [backup-simplify]: Simplify (log -1) into (log -1) 10.109 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.110 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 10.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.111 * [backup-simplify]: Simplify (- 0) into 0 10.112 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.119 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 10.119 * [backup-simplify]: Simplify -1.0 into -1.0 10.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.120 * [backup-simplify]: Simplify (- 0) into 0 10.121 * [backup-simplify]: Simplify (+ 0 0) into 0 10.132 * [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 10.132 * [backup-simplify]: Simplify -0.5 into -0.5 10.133 * [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)))) 10.133 * * * [progress]: simplifying candidates 10.136 * [simplify]: Simplifying: (fma (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log (+ N 1.0)) (log (+ N 1.0))) (- (* (* (log N) (log N)) (* (log N) (log N))))) (fma (- (* (log N) (log N))) (* (log N) (log N)) (* (* (log N) (log N)) (* (log N) (log N)))) (expm1 (- (* (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log (+ N 1.0)) (log (+ N 1.0)))) (* (* (log N) (log N)) (* (log N) (log N))))) (log1p (- (* (* (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) (log N)) (* (log N) (log N)))) (/ (exp (* (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log (+ N 1.0)) (log (+ N 1.0))))) (exp (* (* (log N) (log N)) (* (log N) (log N))))) (log (- (* (* (log (+ N 1.0)) (log (+ N 1.0))) (* (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))) (* (log (+ N 1.0)) (log (+ N 1.0)))) (* (* (log N) (log N)) (* (log N) (log N))))) (* (cbrt (- (* (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log (+ N 1.0)) (log (+ N 1.0)))) (* (* (log N) (log N)) (* (log N) (log N))))) (cbrt (- (* (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log (+ N 1.0)) (log (+ N 1.0)))) (* (* (log N) (log N)) (* (log N) (log N)))))) (cbrt (- (* (* (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 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 1.0)) (log (+ N 1.0)))) (* (* (log N) (log N)) (* (log N) (log N))))) (sqrt (- (* (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log (+ N 1.0)) (log (+ N 1.0)))) (* (* (log N) (log N)) (* (log N) (log N))))) (sqrt (- (* (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log (+ N 1.0)) (log (+ N 1.0)))) (* (* (log N) (log N)) (* (log N) (log N))))) (- (pow (* (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log (+ N 1.0)) (log (+ N 1.0)))) 3) (pow (* (* (log N) (log N)) (* (log N) (log N))) 3)) (+ (* (* (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log (+ N 1.0)) (log (+ N 1.0)))) (* (* (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) (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) (log N)) (* (log N) (log N)))) (- (* (* (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log (+ N 1.0)) (log (+ N 1.0)))) (* (* (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) (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 1.0))) (* (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 (* (cbrt N) (cbrt N)))))) (- (* (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log (+ N 1.0)) (log (+ N 1.0)))) (* (* (log N) (log N)) (* (log N) (log (sqrt N))))) (- (* (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log (+ N 1.0)) (log (+ N 1.0)))) (* (* (log N) (log N)) (* (log N) (log 1)))) (- (* (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log (+ N 1.0)) (log (+ N 1.0)))) (* (* (log N) (log N)) (* (log (* (cbrt N) (cbrt N))) (log N)))) (- (* (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log (+ N 1.0)) (log (+ N 1.0)))) (* (* (log N) (log N)) (* (log (sqrt N)) (log N)))) (- (* (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log (+ N 1.0)) (log (+ N 1.0)))) (* (* (log N) (log N)) (* (log 1) (log N)))) (- (* (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log (+ N 1.0)) (log (+ N 1.0)))) (* (* (log N) (log (* (cbrt N) (cbrt N)))) (* (log N) (log N)))) (- (* (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log (+ N 1.0)) (log (+ N 1.0)))) (* (* (log N) (log (sqrt N))) (* (log N) (log N)))) (- (* (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log (+ N 1.0)) (log (+ N 1.0)))) (* (* (log N) (log 1)) (* (log N) (log N)))) (- (* (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log (+ N 1.0)) (log (+ N 1.0)))) (* (* (log (* (cbrt N) (cbrt N))) (log N)) (* (log N) (log N)))) (- (* (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log (+ N 1.0)) (log (+ N 1.0)))) (* (* (log (sqrt N)) (log N)) (* (log N) (log N)))) (- (* (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log (+ N 1.0)) (log (+ N 1.0)))) (* (* (log 1) (log N)) (* (log N) (log N)))) (- (* (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log (+ N 1.0)) (log (cbrt (+ N 1.0))))) (* (* (log N) (log N)) (* (log N) (log N)))) (- (* (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log (+ N 1.0)) (log (sqrt (+ 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 1.0)) (log (+ N 1.0)))) (* (* (log N) (log N)) (* (log N) (log N)))) (- (* (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log (cbrt (+ N 1.0))) (log (+ N 1.0)))) (* (* (log N) (log N)) (* (log N) (log N)))) (- (* (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log (sqrt (+ 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 1.0)) (log (+ N 1.0)))) (* (* (log N) (log N)) (* (log N) (log N)))) (- (* (* (log (+ N 1.0)) (log (cbrt (+ N 1.0)))) (* (log (+ N 1.0)) (log (+ N 1.0)))) (* (* (log N) (log N)) (* (log N) (log N)))) (- (* (* (log (+ N 1.0)) (log (sqrt (+ 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 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 (cbrt (+ N 1.0))) (log (+ N 1.0))) (* (log (+ N 1.0)) (log (+ N 1.0)))) (* (* (log N) (log N)) (* (log N) (log N)))) (- (* (* (log (sqrt (+ 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 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) (log N)) (* (log N) (log N)))) (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))) (- (+ (pow (log 1.0) 4) (+ (* 6.0 (* (pow (log 1.0) 2) (pow N 2))) (* 4.0 (* (pow (log 1.0) 3) N)))) (+ (* 2 (/ (* (pow (log 1.0) 3) (pow N 2)) (pow 1.0 2))) (pow (log N) 4))) (- (+ (* 6.0 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (* 2.0 (/ (pow (log (/ 1 N)) 3) (pow N 2)))) (+ (* 4.0 (/ (pow (log (/ 1 N)) 3) N)) (+ (* 1.3333333333333333 (/ (pow (log (/ 1 N)) 3) (pow N 3))) (+ (* 4.0 (/ (log (/ 1 N)) (pow N 3))) (* 6.0 (/ (pow (log (/ 1 N)) 2) (pow N 3))))))) (- (+ (* 1.3333333333333333 (/ (pow (log -1) 3) (pow N 3))) (+ (* 6.0 (/ (pow (log -1) 2) (pow N 2))) (+ (* 2.0 (/ (pow (log (/ -1 N)) 3) (pow N 2))) (+ (* 4.0 (/ (log -1) (pow N 3))) (+ (* 6.0 (/ (* (log (/ -1 N)) (pow (log -1) 2)) (pow N 2))) (+ (* 12.0 (/ (* (pow (log (/ -1 N)) 2) (log -1)) N)) (+ (* 4.0 (/ (pow (log -1) 3) N)) (+ (* 12.0 (/ (* (log (/ -1 N)) (log -1)) (pow N 3))) (+ (* 6.0 (/ (pow (log (/ -1 N)) 2) (pow N 2))) (* 4.0 (/ (* (pow (log (/ -1 N)) 2) (log -1)) (pow N 3)))))))))))) (+ (* 12.0 (/ (* (log (/ -1 N)) (log -1)) (pow N 2))) (+ (* 2.0 (/ (pow (log -1) 3) (pow N 2))) (+ (* 4.0 (/ (log (/ -1 N)) (pow N 3))) (+ (* 12.0 (/ (* (log (/ -1 N)) (pow (log -1) 2)) N)) (+ (* 6.0 (/ (pow (log (/ -1 N)) 2) (pow N 3))) (+ (* 1.3333333333333333 (/ (pow (log (/ -1 N)) 3) (pow N 3))) (+ (* 4.0 (/ (pow (log (/ -1 N)) 3) N)) (+ (* 6.0 (/ (pow (log -1) 2) (pow N 3))) (+ (* 4.0 (/ (* (log (/ -1 N)) (pow (log -1) 2)) (pow N 3))) (* 6.0 (/ (* (pow (log (/ -1 N)) 2) (log -1)) (pow N 2))))))))))))) (- (+ (log 1.0) (* 1.0 N)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ (log 1.0) (* 1.0 N)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ (log 1.0) (* 1.0 N)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 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)))) 10.141 * * [simplify]: iteration 0: 255 enodes 10.219 * * [simplify]: iteration 1: 760 enodes 10.588 * * [simplify]: iteration 2: 2715 enodes 11.361 * * [simplify]: iteration complete: 5004 enodes 11.361 * * [simplify]: Extracting #0: cost 45 inf + 0 11.363 * * [simplify]: Extracting #1: cost 286 inf + 1 11.368 * * [simplify]: Extracting #2: cost 723 inf + 3551 11.375 * * [simplify]: Extracting #3: cost 1104 inf + 33457 11.420 * * [simplify]: Extracting #4: cost 924 inf + 144825 11.508 * * [simplify]: Extracting #5: cost 506 inf + 297611 11.654 * * [simplify]: Extracting #6: cost 93 inf + 440321 11.812 * * [simplify]: Extracting #7: cost 10 inf + 525817 11.983 * * [simplify]: Extracting #8: cost 0 inf + 540621 12.215 * * [simplify]: Extracting #9: cost 0 inf + 539676 12.424 * * [simplify]: Extracting #10: cost 0 inf + 539026 12.607 * * [simplify]: Extracting #11: cost 0 inf + 538576 12.830 * * [simplify]: Extracting #12: cost 0 inf + 538251 13.060 * [simplify]: Simplified to: (- (* (* (log (+ 1.0 N)) (log (+ 1.0 N))) (* (log (+ 1.0 N)) (log (+ 1.0 N)))) (* (* (log N) (log N)) (* (log N) (log N)))) (+ (- (* (* (log N) (log N)) (* (log N) (log N)))) (* (* (log N) (log N)) (* (log N) (log N)))) (expm1 (- (* (* (log (+ 1.0 N)) (log (+ 1.0 N))) (* (log (+ 1.0 N)) (log (+ 1.0 N)))) (* (* (log N) (log N)) (* (log N) (log N))))) (log1p (- (* (* (log (+ 1.0 N)) (log (+ 1.0 N))) (* (log (+ 1.0 N)) (log (+ 1.0 N)))) (* (* (log N) (log N)) (* (log N) (log N))))) (- (* (* (log N) (log N)) (* (log N) (log N)))) (exp (- (* (* (log (+ 1.0 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