29.911 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.054 * * * [progress]: [2/2] Setting up program. 0.057 * [progress]: [Phase 2 of 3] Improving. 0.057 * [simplify]: Simplifying: (- (log (+ N 1.0)) (log N)) 0.057 * * [simplify]: iteration 0: 6 enodes 0.058 * * [simplify]: iteration 1: 9 enodes 0.059 * * [simplify]: iteration 2: 10 enodes 0.060 * * [simplify]: iteration complete: 10 enodes 0.060 * * [simplify]: Extracting #0: cost 1 inf + 0 0.060 * * [simplify]: Extracting #1: cost 4 inf + 0 0.060 * * [simplify]: Extracting #2: cost 6 inf + 0 0.060 * * [simplify]: Extracting #3: cost 6 inf + 1 0.060 * * [simplify]: Extracting #4: cost 0 inf + 21 0.060 * [simplify]: Simplified to: (- (log (+ 1.0 N)) (log N)) 0.075 * * [progress]: iteration 1 / 4 0.075 * * * [progress]: picking best candidate 0.078 * * * * [pick]: Picked # 0.078 * * * [progress]: localizing error 0.088 * * * [progress]: generating rewritten candidates 0.088 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.092 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.106 * * * [progress]: generating series expansions 0.106 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.107 * [backup-simplify]: Simplify (log (+ 1.0 N)) into (log (+ N 1.0)) 0.107 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.107 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.107 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.107 * [taylor]: Taking taylor expansion of N in N 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 1 into 1 0.107 * [taylor]: Taking taylor expansion of 1.0 in N 0.107 * [backup-simplify]: Simplify 1.0 into 1.0 0.107 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.108 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.108 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.108 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.108 * [taylor]: Taking taylor expansion of N in N 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 1 into 1 0.108 * [taylor]: Taking taylor expansion of 1.0 in N 0.108 * [backup-simplify]: Simplify 1.0 into 1.0 0.108 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.108 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.109 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.109 * [backup-simplify]: Simplify (+ 1 0) into 1 0.113 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.113 * [backup-simplify]: Simplify 1.0 into 1.0 0.114 * [backup-simplify]: Simplify (+ 0 0) into 0 0.119 * [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)) 0.120 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.121 * [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)))) 0.121 * [backup-simplify]: Simplify (log (+ 1.0 (/ 1 N))) into (log (+ (/ 1 N) 1.0)) 0.121 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.121 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.121 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.121 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.121 * [taylor]: Taking taylor expansion of N in N 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 1 into 1 0.121 * [backup-simplify]: Simplify (/ 1 1) into 1 0.121 * [taylor]: Taking taylor expansion of 1.0 in N 0.121 * [backup-simplify]: Simplify 1.0 into 1.0 0.122 * [backup-simplify]: Simplify (+ 1 0) into 1 0.122 * [backup-simplify]: Simplify (log 1) into 0 0.122 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.122 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.122 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.122 * [taylor]: Taking taylor expansion of N in N 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify 1 into 1 0.122 * [backup-simplify]: Simplify (/ 1 1) into 1 0.122 * [taylor]: Taking taylor expansion of 1.0 in N 0.122 * [backup-simplify]: Simplify 1.0 into 1.0 0.123 * [backup-simplify]: Simplify (+ 1 0) into 1 0.123 * [backup-simplify]: Simplify (log 1) into 0 0.123 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.123 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.124 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.128 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.128 * [backup-simplify]: Simplify 1.0 into 1.0 0.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.129 * [backup-simplify]: Simplify (+ 0 0) into 0 0.136 * [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 0.136 * [backup-simplify]: Simplify -0.5 into -0.5 0.136 * [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)))) 0.136 * [backup-simplify]: Simplify (log (+ 1.0 (/ 1 (- N)))) into (log (- 1.0 (/ 1 N))) 0.136 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.136 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.136 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.136 * [taylor]: Taking taylor expansion of 1.0 in N 0.137 * [backup-simplify]: Simplify 1.0 into 1.0 0.137 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.137 * [taylor]: Taking taylor expansion of N in N 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 1 into 1 0.137 * [backup-simplify]: Simplify (/ 1 1) into 1 0.137 * [backup-simplify]: Simplify (- 1) into -1 0.138 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.138 * [backup-simplify]: Simplify (log -1) into (log -1) 0.138 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.138 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.138 * [taylor]: Taking taylor expansion of 1.0 in N 0.138 * [backup-simplify]: Simplify 1.0 into 1.0 0.138 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.138 * [taylor]: Taking taylor expansion of N in N 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 1 into 1 0.139 * [backup-simplify]: Simplify (/ 1 1) into 1 0.139 * [backup-simplify]: Simplify (- 1) into -1 0.140 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.140 * [backup-simplify]: Simplify (log -1) into (log -1) 0.141 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.141 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.143 * [backup-simplify]: Simplify (- 0) into 0 0.143 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.150 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.150 * [backup-simplify]: Simplify -1.0 into -1.0 0.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.151 * [backup-simplify]: Simplify (- 0) into 0 0.152 * [backup-simplify]: Simplify (+ 0 0) into 0 0.171 * [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 0.171 * [backup-simplify]: Simplify -0.5 into -0.5 0.173 * [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)))) 0.173 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.173 * [backup-simplify]: Simplify (- (log (+ 1.0 N)) (log N)) into (- (log (+ N 1.0)) (log N)) 0.173 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.173 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.173 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.173 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.173 * [taylor]: Taking taylor expansion of N in N 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify 1 into 1 0.173 * [taylor]: Taking taylor expansion of 1.0 in N 0.173 * [backup-simplify]: Simplify 1.0 into 1.0 0.174 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.174 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.174 * [taylor]: Taking taylor expansion of (log N) in N 0.174 * [taylor]: Taking taylor expansion of N in N 0.174 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify 1 into 1 0.175 * [backup-simplify]: Simplify (log 1) into 0 0.175 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.175 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.175 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.175 * [taylor]: Taking taylor expansion of N in N 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify 1 into 1 0.175 * [taylor]: Taking taylor expansion of 1.0 in N 0.175 * [backup-simplify]: Simplify 1.0 into 1.0 0.175 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.176 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.176 * [taylor]: Taking taylor expansion of (log N) in N 0.176 * [taylor]: Taking taylor expansion of N in N 0.176 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify 1 into 1 0.176 * [backup-simplify]: Simplify (log 1) into 0 0.177 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.177 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.177 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 0.178 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.178 * [backup-simplify]: Simplify (+ 1 0) into 1 0.184 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.185 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.186 * [backup-simplify]: Simplify (- 0) into 0 0.186 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.186 * [backup-simplify]: Simplify 1.0 into 1.0 0.187 * [backup-simplify]: Simplify (+ 0 0) into 0 0.199 * [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)) 0.202 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.202 * [backup-simplify]: Simplify (- 0) into 0 0.204 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.207 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.211 * [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))) 0.211 * [backup-simplify]: Simplify (- (log (+ 1.0 (/ 1 N))) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 0.211 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.211 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.211 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.211 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.211 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.211 * [taylor]: Taking taylor expansion of N in N 0.211 * [backup-simplify]: Simplify 0 into 0 0.211 * [backup-simplify]: Simplify 1 into 1 0.212 * [backup-simplify]: Simplify (/ 1 1) into 1 0.212 * [taylor]: Taking taylor expansion of 1.0 in N 0.212 * [backup-simplify]: Simplify 1.0 into 1.0 0.213 * [backup-simplify]: Simplify (+ 1 0) into 1 0.213 * [backup-simplify]: Simplify (log 1) into 0 0.213 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.213 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.213 * [taylor]: Taking taylor expansion of N in N 0.213 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify 1 into 1 0.214 * [backup-simplify]: Simplify (/ 1 1) into 1 0.214 * [backup-simplify]: Simplify (log 1) into 0 0.214 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.214 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.214 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.214 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.214 * [taylor]: Taking taylor expansion of N in N 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify 1 into 1 0.215 * [backup-simplify]: Simplify (/ 1 1) into 1 0.215 * [taylor]: Taking taylor expansion of 1.0 in N 0.215 * [backup-simplify]: Simplify 1.0 into 1.0 0.215 * [backup-simplify]: Simplify (+ 1 0) into 1 0.215 * [backup-simplify]: Simplify (log 1) into 0 0.215 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.216 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.216 * [taylor]: Taking taylor expansion of N in N 0.216 * [backup-simplify]: Simplify 0 into 0 0.216 * [backup-simplify]: Simplify 1 into 1 0.216 * [backup-simplify]: Simplify (/ 1 1) into 1 0.216 * [backup-simplify]: Simplify (log 1) into 0 0.217 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.217 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.217 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.218 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.218 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.219 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.226 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.228 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.229 * [backup-simplify]: Simplify (- 0) into 0 0.229 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.229 * [backup-simplify]: Simplify 1.0 into 1.0 0.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.231 * [backup-simplify]: Simplify (+ 0 0) into 0 0.242 * [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 0.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.246 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.246 * [backup-simplify]: Simplify (- 0) into 0 0.247 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.247 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.249 * [backup-simplify]: Simplify (+ 0 0) into 0 0.268 * [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 0.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.274 * [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 0.275 * [backup-simplify]: Simplify (- 0) into 0 0.275 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.275 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.276 * [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)))) 0.276 * [backup-simplify]: Simplify (- (log (+ 1.0 (/ 1 (- N)))) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 0.276 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.276 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.277 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.277 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.277 * [taylor]: Taking taylor expansion of 1.0 in N 0.277 * [backup-simplify]: Simplify 1.0 into 1.0 0.277 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.277 * [taylor]: Taking taylor expansion of N in N 0.277 * [backup-simplify]: Simplify 0 into 0 0.277 * [backup-simplify]: Simplify 1 into 1 0.277 * [backup-simplify]: Simplify (/ 1 1) into 1 0.278 * [backup-simplify]: Simplify (- 1) into -1 0.278 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.279 * [backup-simplify]: Simplify (log -1) into (log -1) 0.279 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.279 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.279 * [taylor]: Taking taylor expansion of -1 in N 0.279 * [backup-simplify]: Simplify -1 into -1 0.279 * [taylor]: Taking taylor expansion of N in N 0.279 * [backup-simplify]: Simplify 0 into 0 0.279 * [backup-simplify]: Simplify 1 into 1 0.280 * [backup-simplify]: Simplify (/ -1 1) into -1 0.280 * [backup-simplify]: Simplify (log -1) into (log -1) 0.280 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.280 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.281 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.281 * [taylor]: Taking taylor expansion of 1.0 in N 0.281 * [backup-simplify]: Simplify 1.0 into 1.0 0.281 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.281 * [taylor]: Taking taylor expansion of N in N 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify 1 into 1 0.281 * [backup-simplify]: Simplify (/ 1 1) into 1 0.281 * [backup-simplify]: Simplify (- 1) into -1 0.282 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.282 * [backup-simplify]: Simplify (log -1) into (log -1) 0.282 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.282 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.282 * [taylor]: Taking taylor expansion of -1 in N 0.282 * [backup-simplify]: Simplify -1 into -1 0.282 * [taylor]: Taking taylor expansion of N in N 0.282 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify 1 into 1 0.283 * [backup-simplify]: Simplify (/ -1 1) into -1 0.283 * [backup-simplify]: Simplify (log -1) into (log -1) 0.284 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.285 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.286 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.287 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.287 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.288 * [backup-simplify]: Simplify (- 0) into 0 0.288 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.296 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.297 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.298 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.298 * [backup-simplify]: Simplify (- 0) into 0 0.299 * [backup-simplify]: Simplify (+ -1.0 0) 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 0.301 * [backup-simplify]: Simplify (- 0) into 0 0.301 * [backup-simplify]: Simplify (+ 0 0) into 0 0.313 * [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 0.314 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.316 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.317 * [backup-simplify]: Simplify (- 0) into 0 0.317 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.318 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.319 * [backup-simplify]: Simplify (- 0) into 0 0.320 * [backup-simplify]: Simplify (+ 0 0) into 0 0.335 * [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 0.336 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.339 * [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 0.339 * [backup-simplify]: Simplify (- 0) into 0 0.340 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 0.340 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.341 * [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)))) 0.341 * * * [progress]: simplifying candidates 0.342 * [simplify]: Simplifying: (expm1 (log (+ 1.0 N))) (log1p (log (+ 1.0 N))) (log (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (log (cbrt (+ 1.0 N))) (log (sqrt (+ 1.0 N))) (log (sqrt (+ 1.0 N))) (log 1) (log (+ 1.0 N)) (log 1) (log (+ 1.0 N)) (log (+ (pow 1.0 3) (pow N 3))) (log (+ (* 1.0 1.0) (- (* N N) (* 1.0 N)))) (log (- (* 1.0 1.0) (* N N))) (log (- 1.0 N)) (log (+ 1.0 N)) (log (log (+ 1.0 N))) (exp (log (+ 1.0 N))) (* (cbrt (log (+ 1.0 N))) (cbrt (log (+ 1.0 N)))) (cbrt (log (+ 1.0 N))) (* (* (log (+ 1.0 N)) (log (+ 1.0 N))) (log (+ 1.0 N))) (sqrt (log (+ 1.0 N))) (sqrt (log (+ 1.0 N))) (fma 1 (log (+ 1.0 N)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ 1.0 N)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log (+ 1.0 N)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log (+ 1.0 N)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log (+ 1.0 N))) (cbrt (log (+ 1.0 N)))) (cbrt (log (+ 1.0 N))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log (+ 1.0 N))) (cbrt (log (+ 1.0 N)))) (cbrt (log (+ 1.0 N))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (* (cbrt (log (+ 1.0 N))) (cbrt (log (+ 1.0 N)))) (cbrt (log (+ 1.0 N))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (* (cbrt (log (+ 1.0 N))) (cbrt (log (+ 1.0 N)))) (cbrt (log (+ 1.0 N))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log (+ 1.0 N))) (sqrt (log (+ 1.0 N))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log (+ 1.0 N))) (sqrt (log (+ 1.0 N))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (sqrt (log (+ 1.0 N))) (sqrt (log (+ 1.0 N))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (sqrt (log (+ 1.0 N))) (sqrt (log (+ 1.0 N))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ 1.0 N)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ 1.0 N)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log (+ 1.0 N)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log (+ 1.0 N)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (expm1 (- (log (+ 1.0 N)) (log N))) (log1p (- (log (+ 1.0 N)) (log N))) (- (log N)) (- (log N)) (- (log N)) (- (log N)) (/ (+ 1.0 N) N) (log (- (log (+ 1.0 N)) (log N))) (exp (- (log (+ 1.0 N)) (log N))) (* (cbrt (- (log (+ 1.0 N)) (log N))) (cbrt (- (log (+ 1.0 N)) (log N)))) (cbrt (- (log (+ 1.0 N)) (log N))) (* (* (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N))) (- (log (+ 1.0 N)) (log N))) (sqrt (- (log (+ 1.0 N)) (log N))) (sqrt (- (log (+ 1.0 N)) (log N))) (- (pow (log (+ 1.0 N)) 3) (pow (log N) 3)) (+ (* (log (+ 1.0 N)) (log (+ 1.0 N))) (+ (* (log N) (log N)) (* (log (+ 1.0 N)) (log N)))) (- (log N)) (- (* (log (+ 1.0 N)) (log (+ 1.0 N))) (* (log N) (log N))) (+ (log (+ 1.0 N)) (log N)) (+ (sqrt (log (+ 1.0 N))) (sqrt (log N))) (- (sqrt (log (+ 1.0 N))) (sqrt (log N))) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log (* (cbrt N) (cbrt N)))) (- (log (+ 1.0 N)) (log (sqrt N))) (- (log (+ 1.0 N)) (log 1)) (- (log (cbrt (+ 1.0 N))) (log N)) (- (log (sqrt (+ 1.0 N))) (log N)) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N)) (+ (log (+ (* 1.0 1.0) (- (* N N) (* 1.0 N)))) (log N)) (+ (log (- 1.0 N)) (log N)) (- (log N)) (- (+ (log 1.0) (* 1.0 N)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ (log 1.0) (* 1.0 N)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.343 * * [simplify]: iteration 0: 126 enodes 0.368 * * [simplify]: iteration 1: 287 enodes 0.484 * * [simplify]: iteration 2: 1091 enodes 1.342 * * [simplify]: iteration complete: 5000 enodes 1.342 * * [simplify]: Extracting #0: cost 45 inf + 0 1.344 * * [simplify]: Extracting #1: cost 843 inf + 1 1.348 * * [simplify]: Extracting #2: cost 1511 inf + 118 1.354 * * [simplify]: Extracting #3: cost 1039 inf + 3068 1.360 * * [simplify]: Extracting #4: cost 293 inf + 8168 1.365 * * [simplify]: Extracting #5: cost 38 inf + 10913 1.374 * * [simplify]: Extracting #6: cost 5 inf + 11181 1.379 * * [simplify]: Extracting #7: cost 0 inf + 11206 1.386 * [simplify]: Simplified to: (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (* 2 (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (+ (pow 1.0 3) (pow N 3))) (log (fma 1.0 1.0 (* N (- N 1.0)))) (log (* (+ 1.0 N) (- 1.0 N))) (log (- 1.0 N)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (pow (cbrt (log (+ N 1.0))) 3) (log N)) 0 (- (pow (cbrt (log (+ N 1.0))) 3) (log N)) 0 (- (pow (cbrt (log (+ N 1.0))) 3) (log N)) 0 (- (pow (cbrt (log (+ N 1.0))) 3) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (expm1 (- (log (+ N 1.0)) (log N))) (log1p (- (log (+ N 1.0)) (log N))) (- (log N)) (- (log N)) (- (log N)) (- (log N)) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (/ (+ N 1.0) N) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (pow (- (log (+ N 1.0)) (log N)) 3) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (fma (log N) (log N) (* (log (+ N 1.0)) (+ (log N) (log (+ N 1.0))))) (- (log N)) (* (- (log (+ N 1.0)) (log N)) (+ (log (+ N 1.0)) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log N)) (sqrt (log (+ N 1.0)))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (log (+ N 1.0)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log N) (log (fma 1.0 1.0 (* N (- N 1.0))))) (+ (log N) (log (- 1.0 N))) (- (log N)) (fma -1/2 (/ N (/ (* 1.0 1.0) N)) (fma N 1.0 (log 1.0))) (+ (- (/ 1.0 N) (/ (/ 0.5 N) N)) (log N)) (- (+ (/ 1.0 N) (- (log -1) (/ (/ 0.5 N) N))) (log (/ -1 N))) (fma N 1.0 (- (log 1.0) (fma (/ 1/2 1.0) (/ (pow N 2) 1.0) (log N)))) (+ (/ 1.0 N) (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5))) (+ (/ 1.0 N) (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5))) 1.387 * * * [progress]: adding candidates to table 1.612 * * [progress]: iteration 2 / 4 1.612 * * * [progress]: picking best candidate 1.627 * * * * [pick]: Picked # 1.627 * * * [progress]: localizing error 1.634 * * * [progress]: generating rewritten candidates 1.634 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.639 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 1.660 * * * [progress]: generating series expansions 1.660 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.660 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 1.660 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 1.660 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.660 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.660 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.660 * [taylor]: Taking taylor expansion of N in N 1.660 * [backup-simplify]: Simplify 0 into 0 1.660 * [backup-simplify]: Simplify 1 into 1 1.660 * [taylor]: Taking taylor expansion of 1.0 in N 1.660 * [backup-simplify]: Simplify 1.0 into 1.0 1.660 * [taylor]: Taking taylor expansion of N in N 1.660 * [backup-simplify]: Simplify 0 into 0 1.660 * [backup-simplify]: Simplify 1 into 1 1.661 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.662 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.662 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.662 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.662 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.662 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.662 * [taylor]: Taking taylor expansion of N in N 1.662 * [backup-simplify]: Simplify 0 into 0 1.662 * [backup-simplify]: Simplify 1 into 1 1.662 * [taylor]: Taking taylor expansion of 1.0 in N 1.662 * [backup-simplify]: Simplify 1.0 into 1.0 1.662 * [taylor]: Taking taylor expansion of N in N 1.662 * [backup-simplify]: Simplify 0 into 0 1.662 * [backup-simplify]: Simplify 1 into 1 1.663 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.663 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.664 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.665 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 1.665 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 1.666 * [backup-simplify]: Simplify (+ 1 0) into 1 1.667 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 1.672 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 1.672 * [backup-simplify]: Simplify 1.0 into 1.0 1.673 * [backup-simplify]: Simplify (+ 0 0) into 0 1.674 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1.680 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 1.680 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 1.681 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (log 1.0) (* 1.0 N)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 1.682 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 1.682 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 1.682 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.682 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.682 * [taylor]: Taking taylor expansion of N in N 1.682 * [backup-simplify]: Simplify 0 into 0 1.682 * [backup-simplify]: Simplify 1 into 1 1.682 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.682 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.682 * [taylor]: Taking taylor expansion of N in N 1.682 * [backup-simplify]: Simplify 0 into 0 1.682 * [backup-simplify]: Simplify 1 into 1 1.682 * [backup-simplify]: Simplify (/ 1 1) into 1 1.682 * [taylor]: Taking taylor expansion of 1.0 in N 1.682 * [backup-simplify]: Simplify 1.0 into 1.0 1.682 * [backup-simplify]: Simplify (+ 1 0) into 1 1.686 * [backup-simplify]: Simplify (* 0 1) into 0 1.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.687 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.687 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.688 * [backup-simplify]: Simplify (log 1) into 0 1.688 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.688 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.688 * [taylor]: Taking taylor expansion of N in N 1.688 * [backup-simplify]: Simplify 0 into 0 1.688 * [backup-simplify]: Simplify 1 into 1 1.688 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.688 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.688 * [taylor]: Taking taylor expansion of N in N 1.688 * [backup-simplify]: Simplify 0 into 0 1.688 * [backup-simplify]: Simplify 1 into 1 1.688 * [backup-simplify]: Simplify (/ 1 1) into 1 1.688 * [taylor]: Taking taylor expansion of 1.0 in N 1.688 * [backup-simplify]: Simplify 1.0 into 1.0 1.688 * [backup-simplify]: Simplify (+ 1 0) into 1 1.689 * [backup-simplify]: Simplify (* 0 1) into 0 1.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.690 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.690 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.690 * [backup-simplify]: Simplify (log 1) into 0 1.690 * [backup-simplify]: Simplify 0 into 0 1.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.691 * [backup-simplify]: Simplify (+ 0 0) into 0 1.693 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 1.696 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 1.697 * [backup-simplify]: Simplify 1.0 into 1.0 1.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.697 * [backup-simplify]: Simplify (+ 0 0) into 0 1.698 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 1.706 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 1.707 * [backup-simplify]: Simplify -0.5 into -0.5 1.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.708 * [backup-simplify]: Simplify (+ 0 0) into 0 1.709 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 1.727 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 1.728 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 1.728 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* -0.5 (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 1.728 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 1.728 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 1.728 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.728 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.729 * [taylor]: Taking taylor expansion of -1 in N 1.729 * [backup-simplify]: Simplify -1 into -1 1.729 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.729 * [taylor]: Taking taylor expansion of N in N 1.729 * [backup-simplify]: Simplify 0 into 0 1.729 * [backup-simplify]: Simplify 1 into 1 1.729 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.729 * [taylor]: Taking taylor expansion of 1.0 in N 1.729 * [backup-simplify]: Simplify 1.0 into 1.0 1.729 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.729 * [taylor]: Taking taylor expansion of N in N 1.729 * [backup-simplify]: Simplify 0 into 0 1.729 * [backup-simplify]: Simplify 1 into 1 1.729 * [backup-simplify]: Simplify (/ 1 1) into 1 1.730 * [backup-simplify]: Simplify (- 1) into -1 1.730 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.730 * [backup-simplify]: Simplify (* 0 -1) into 0 1.731 * [backup-simplify]: Simplify (* -1 0) into 0 1.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.732 * [backup-simplify]: Simplify (- 0) into 0 1.732 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.733 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 1.734 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 1.734 * [backup-simplify]: Simplify (log 1) into 0 1.734 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.734 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.734 * [taylor]: Taking taylor expansion of -1 in N 1.734 * [backup-simplify]: Simplify -1 into -1 1.734 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.734 * [taylor]: Taking taylor expansion of N in N 1.734 * [backup-simplify]: Simplify 0 into 0 1.734 * [backup-simplify]: Simplify 1 into 1 1.734 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.734 * [taylor]: Taking taylor expansion of 1.0 in N 1.734 * [backup-simplify]: Simplify 1.0 into 1.0 1.734 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.734 * [taylor]: Taking taylor expansion of N in N 1.734 * [backup-simplify]: Simplify 0 into 0 1.734 * [backup-simplify]: Simplify 1 into 1 1.735 * [backup-simplify]: Simplify (/ 1 1) into 1 1.735 * [backup-simplify]: Simplify (- 1) into -1 1.735 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.736 * [backup-simplify]: Simplify (* 0 -1) into 0 1.736 * [backup-simplify]: Simplify (* -1 0) into 0 1.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.737 * [backup-simplify]: Simplify (- 0) into 0 1.738 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.738 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 1.739 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 1.739 * [backup-simplify]: Simplify (log 1) into 0 1.740 * [backup-simplify]: Simplify 0 into 0 1.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.741 * [backup-simplify]: Simplify (- 0) into 0 1.742 * [backup-simplify]: Simplify (+ 0 0) into 0 1.745 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 1.747 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 1.753 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 1.753 * [backup-simplify]: Simplify -1.0 into -1.0 1.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.754 * [backup-simplify]: Simplify (- 0) into 0 1.754 * [backup-simplify]: Simplify (+ 0 0) into 0 1.755 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 1.756 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 1.763 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 1.0)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 1.763 * [backup-simplify]: Simplify -0.5 into -0.5 1.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.764 * [backup-simplify]: Simplify (- 0) into 0 1.764 * [backup-simplify]: Simplify (+ 0 0) into 0 1.765 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 1.766 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 1.777 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- 1.0)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (- 1.0)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -0.3333333333333333 1.777 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 1.777 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) (+ (* -0.5 (pow (/ 1 (- N)) 2)) (* -1.0 (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 1.777 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 1.777 * [backup-simplify]: Simplify (/ (+ N 1.0) N) into (/ (+ N 1.0) N) 1.777 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 1.777 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.777 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.777 * [taylor]: Taking taylor expansion of N in N 1.777 * [backup-simplify]: Simplify 0 into 0 1.777 * [backup-simplify]: Simplify 1 into 1 1.777 * [taylor]: Taking taylor expansion of 1.0 in N 1.777 * [backup-simplify]: Simplify 1.0 into 1.0 1.777 * [taylor]: Taking taylor expansion of N in N 1.777 * [backup-simplify]: Simplify 0 into 0 1.777 * [backup-simplify]: Simplify 1 into 1 1.778 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.778 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.778 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.778 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.778 * [taylor]: Taking taylor expansion of N in N 1.778 * [backup-simplify]: Simplify 0 into 0 1.778 * [backup-simplify]: Simplify 1 into 1 1.778 * [taylor]: Taking taylor expansion of 1.0 in N 1.778 * [backup-simplify]: Simplify 1.0 into 1.0 1.778 * [taylor]: Taking taylor expansion of N in N 1.778 * [backup-simplify]: Simplify 0 into 0 1.778 * [backup-simplify]: Simplify 1 into 1 1.779 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.779 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.779 * [backup-simplify]: Simplify 1.0 into 1.0 1.780 * [backup-simplify]: Simplify (+ 1 0) into 1 1.781 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 1.781 * [backup-simplify]: Simplify 1 into 1 1.781 * [backup-simplify]: Simplify (+ 0 0) into 0 1.782 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1.782 * [backup-simplify]: Simplify 0 into 0 1.782 * [backup-simplify]: Simplify (+ 0 0) into 0 1.784 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.784 * [backup-simplify]: Simplify 0 into 0 1.784 * [backup-simplify]: Simplify (+ 0 0) into 0 1.785 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.785 * [backup-simplify]: Simplify 0 into 0 1.786 * [backup-simplify]: Simplify (+ 0 0) into 0 1.787 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.787 * [backup-simplify]: Simplify 0 into 0 1.787 * [backup-simplify]: Simplify (+ 0 0) into 0 1.788 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.789 * [backup-simplify]: Simplify 0 into 0 1.789 * [backup-simplify]: Simplify (+ 0 0) into 0 1.790 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.790 * [backup-simplify]: Simplify 0 into 0 1.790 * [backup-simplify]: Simplify (+ 1 (* 1.0 (/ 1 N))) into (+ (* 1.0 (/ 1 N)) 1) 1.790 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1.0) (/ 1 N)) into (* N (+ (/ 1 N) 1.0)) 1.790 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 1.790 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.791 * [taylor]: Taking taylor expansion of N in N 1.791 * [backup-simplify]: Simplify 0 into 0 1.791 * [backup-simplify]: Simplify 1 into 1 1.791 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.791 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.791 * [taylor]: Taking taylor expansion of N in N 1.791 * [backup-simplify]: Simplify 0 into 0 1.791 * [backup-simplify]: Simplify 1 into 1 1.791 * [backup-simplify]: Simplify (/ 1 1) into 1 1.791 * [taylor]: Taking taylor expansion of 1.0 in N 1.791 * [backup-simplify]: Simplify 1.0 into 1.0 1.791 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.791 * [taylor]: Taking taylor expansion of N in N 1.791 * [backup-simplify]: Simplify 0 into 0 1.791 * [backup-simplify]: Simplify 1 into 1 1.791 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.791 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.791 * [taylor]: Taking taylor expansion of N in N 1.791 * [backup-simplify]: Simplify 0 into 0 1.791 * [backup-simplify]: Simplify 1 into 1 1.792 * [backup-simplify]: Simplify (/ 1 1) into 1 1.792 * [taylor]: Taking taylor expansion of 1.0 in N 1.792 * [backup-simplify]: Simplify 1.0 into 1.0 1.792 * [backup-simplify]: Simplify (+ 1 0) into 1 1.793 * [backup-simplify]: Simplify (* 0 1) into 0 1.793 * [backup-simplify]: Simplify 0 into 0 1.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.794 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.795 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.795 * [backup-simplify]: Simplify 1 into 1 1.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.802 * [backup-simplify]: Simplify (+ 0 0) into 0 1.805 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 1.805 * [backup-simplify]: Simplify 1.0 into 1.0 1.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.807 * [backup-simplify]: Simplify (+ 0 0) into 0 1.808 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 1.808 * [backup-simplify]: Simplify 0 into 0 1.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.809 * [backup-simplify]: Simplify (+ 0 0) into 0 1.811 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 1.811 * [backup-simplify]: Simplify 0 into 0 1.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.812 * [backup-simplify]: Simplify (+ 0 0) into 0 1.814 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))) into 0 1.814 * [backup-simplify]: Simplify 0 into 0 1.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.816 * [backup-simplify]: Simplify (+ 0 0) into 0 1.817 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))) into 0 1.817 * [backup-simplify]: Simplify 0 into 0 1.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.818 * [backup-simplify]: Simplify (+ 0 0) into 0 1.820 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))))) into 0 1.820 * [backup-simplify]: Simplify 0 into 0 1.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.822 * [backup-simplify]: Simplify (+ 0 0) into 0 1.823 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))))) into 0 1.823 * [backup-simplify]: Simplify 0 into 0 1.823 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) 1) into (+ (* 1.0 (/ 1 N)) 1) 1.823 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (* N (- 1.0 (/ 1 N)))) 1.823 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 1.823 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.823 * [taylor]: Taking taylor expansion of -1 in N 1.823 * [backup-simplify]: Simplify -1 into -1 1.823 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.823 * [taylor]: Taking taylor expansion of N in N 1.823 * [backup-simplify]: Simplify 0 into 0 1.823 * [backup-simplify]: Simplify 1 into 1 1.823 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.823 * [taylor]: Taking taylor expansion of 1.0 in N 1.823 * [backup-simplify]: Simplify 1.0 into 1.0 1.823 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.823 * [taylor]: Taking taylor expansion of N in N 1.823 * [backup-simplify]: Simplify 0 into 0 1.823 * [backup-simplify]: Simplify 1 into 1 1.824 * [backup-simplify]: Simplify (/ 1 1) into 1 1.824 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.824 * [taylor]: Taking taylor expansion of -1 in N 1.824 * [backup-simplify]: Simplify -1 into -1 1.824 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.824 * [taylor]: Taking taylor expansion of N in N 1.824 * [backup-simplify]: Simplify 0 into 0 1.824 * [backup-simplify]: Simplify 1 into 1 1.824 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.824 * [taylor]: Taking taylor expansion of 1.0 in N 1.824 * [backup-simplify]: Simplify 1.0 into 1.0 1.824 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.824 * [taylor]: Taking taylor expansion of N in N 1.824 * [backup-simplify]: Simplify 0 into 0 1.824 * [backup-simplify]: Simplify 1 into 1 1.824 * [backup-simplify]: Simplify (/ 1 1) into 1 1.824 * [backup-simplify]: Simplify (- 1) into -1 1.825 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.825 * [backup-simplify]: Simplify (* 0 -1) into 0 1.825 * [backup-simplify]: Simplify (* -1 0) into 0 1.825 * [backup-simplify]: Simplify 0 into 0 1.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.826 * [backup-simplify]: Simplify (- 0) into 0 1.826 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.827 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 1.827 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 1.827 * [backup-simplify]: Simplify 1 into 1 1.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.828 * [backup-simplify]: Simplify (- 0) into 0 1.828 * [backup-simplify]: Simplify (+ 0 0) into 0 1.830 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 1.831 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 1.831 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 1.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.832 * [backup-simplify]: Simplify (- 0) into 0 1.832 * [backup-simplify]: Simplify (+ 0 0) into 0 1.833 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 1.834 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 1.834 * [backup-simplify]: Simplify 0 into 0 1.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.835 * [backup-simplify]: Simplify (- 0) into 0 1.835 * [backup-simplify]: Simplify (+ 0 0) into 0 1.836 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 1.837 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 1.837 * [backup-simplify]: Simplify 0 into 0 1.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.838 * [backup-simplify]: Simplify (- 0) into 0 1.838 * [backup-simplify]: Simplify (+ 0 0) into 0 1.839 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 1.840 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))) into 0 1.840 * [backup-simplify]: Simplify 0 into 0 1.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.842 * [backup-simplify]: Simplify (- 0) into 0 1.842 * [backup-simplify]: Simplify (+ 0 0) into 0 1.843 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 1.844 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))) into 0 1.844 * [backup-simplify]: Simplify 0 into 0 1.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.845 * [backup-simplify]: Simplify (- 0) into 0 1.846 * [backup-simplify]: Simplify (+ 0 0) into 0 1.847 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 1.848 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))))) into 0 1.848 * [backup-simplify]: Simplify 0 into 0 1.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.849 * [backup-simplify]: Simplify (- 0) into 0 1.849 * [backup-simplify]: Simplify (+ 0 0) into 0 1.852 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))))) into 0 1.854 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))))) into 0 1.854 * [backup-simplify]: Simplify 0 into 0 1.854 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (- N))) 1) into (+ (* 1.0 (/ 1 N)) 1) 1.855 * * * [progress]: simplifying candidates 1.856 * [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) 1.858 * * [simplify]: iteration 0: 112 enodes 1.889 * * [simplify]: iteration 1: 252 enodes 2.041 * * [simplify]: iteration 2: 1063 enodes 2.409 * * [simplify]: iteration complete: 5001 enodes 2.409 * * [simplify]: Extracting #0: cost 67 inf + 0 2.411 * * [simplify]: Extracting #1: cost 504 inf + 2 2.417 * * [simplify]: Extracting #2: cost 1432 inf + 630 2.428 * * [simplify]: Extracting #3: cost 1583 inf + 6570 2.443 * * [simplify]: Extracting #4: cost 123 inf + 16593 2.467 * * [simplify]: Extracting #5: cost 18 inf + 17215 2.481 * * [simplify]: Extracting #6: cost 0 inf + 17342 2.496 * [simplify]: Simplified to: (expm1 (log (/ (+ 1.0 N) N))) (log1p (log (/ (+ 1.0 N) N))) (* 2 (log (cbrt (/ (+ 1.0 N) N)))) (log (cbrt (/ (+ 1.0 N) N))) (log (sqrt (/ (+ 1.0 N) N))) (log (sqrt (/ (+ 1.0 N) N))) (* 2 (log (/ (cbrt (+ 1.0 N)) (cbrt N)))) (log (/ (cbrt (+ 1.0 N)) (cbrt N))) (- (* 2 (log (cbrt (+ 1.0 N)))) (log (sqrt N))) (log (/ (cbrt (+ 1.0 N)) (sqrt N))) (* 2 (log (cbrt (+ 1.0 N)))) (log (/ (cbrt (+ 1.0 N)) N)) (log (/ (sqrt (+ 1.0 N)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ 1.0 N)) (cbrt N))) (log (/ (sqrt (+ 1.0 N)) (sqrt N))) (log (/ (sqrt (+ 1.0 N)) (sqrt N))) (log (sqrt (+ 1.0 N))) (log (/ (sqrt (+ 1.0 N)) N)) (- (* 2 (log (cbrt N)))) (log (/ (+ 1.0 N) (cbrt N))) (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))) 0 (log (/ (+ 1.0 N) N)) (- (* 2 (log (cbrt N)))) (log (/ (+ 1.0 N) (cbrt N))) (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))) 0 (log (/ (+ 1.0 N) N)) 0 (log (/ (+ 1.0 N) N)) (log (+ 1.0 N)) (- (log N)) (log (+ 1.0 N)) (log N) (log (/ (+ 1.0 N) N)) (log (log (/ (+ 1.0 N) N))) (/ (+ 1.0 N) N) (* (cbrt (log (/ (+ 1.0 N) N))) (cbrt (log (/ (+ 1.0 N) N)))) (cbrt (log (/ (+ 1.0 N) N))) (pow (log (/ (+ 1.0 N) N)) 3) (sqrt (log (/ (+ 1.0 N) N))) (sqrt (log (/ (+ 1.0 N) N))) (expm1 (/ (+ 1.0 N) N)) (log1p (/ (+ 1.0 N) N)) (log (/ (+ 1.0 N) N)) (log (/ (+ 1.0 N) N)) (exp (/ (+ 1.0 N) N)) (pow (/ (+ 1.0 N) N) 3) (* (cbrt (/ (+ 1.0 N) N)) (cbrt (/ (+ 1.0 N) N))) (cbrt (/ (+ 1.0 N) N)) (pow (/ (+ 1.0 N) N) 3) (sqrt (/ (+ 1.0 N) N)) (sqrt (/ (+ 1.0 N) N)) (- (- N) 1.0) (- N) (* (/ (cbrt (+ 1.0 N)) (cbrt N)) (/ (cbrt (+ 1.0 N)) (cbrt N))) (/ (cbrt (+ 1.0 N)) (cbrt N)) (* (/ (cbrt (+ 1.0 N)) (sqrt N)) (cbrt (+ 1.0 N))) (/ (cbrt (+ 1.0 N)) (sqrt N)) (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (/ (cbrt (+ 1.0 N)) N) (/ (sqrt (+ 1.0 N)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1.0 N)) (cbrt N)) (/ (sqrt (+ 1.0 N)) (sqrt N)) (/ (sqrt (+ 1.0 N)) (sqrt N)) (sqrt (+ 1.0 N)) (/ (sqrt (+ 1.0 N)) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (+ 1.0 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1.0 N) (sqrt N)) 1 (/ (+ 1.0 N) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (+ 1.0 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1.0 N) (sqrt N)) 1 (/ (+ 1.0 N) N) (/ 1 N) (/ N (+ 1.0 N)) (/ (+ 1.0 N) (* (cbrt N) (cbrt N))) (/ (+ 1.0 N) (sqrt N)) (+ 1.0 N) (/ N (cbrt (+ 1.0 N))) (/ N (sqrt (+ 1.0 N))) (/ N (+ 1.0 N)) (/ N (+ 1.0 N)) (fma N (* 1.0 (- 1.0 N)) (pow N 3)) (* (- N 1.0) N) (- (fma N 1.0 (log 1.0)) (fma (/ 1/2 1.0) (/ (* N N) 1.0) (log N))) (+ (/ 1.0 N) (* (/ 1 (* N N)) (- (/ 0.3333333333333333 N) 0.5))) (+ (/ 1.0 N) (* (/ 1 (* N N)) (- (/ 0.3333333333333333 N) 0.5))) (+ (/ 1.0 N) 1) (+ (/ 1.0 N) 1) (+ (/ 1.0 N) 1) 2.497 * * * [progress]: adding candidates to table 2.767 * * [progress]: iteration 3 / 4 2.767 * * * [progress]: picking best candidate 2.774 * * * * [pick]: Picked # 2.774 * * * [progress]: localizing error 2.808 * * * [progress]: generating rewritten candidates 2.808 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 3 2 2) 2.817 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 3 1) 2.821 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 2.824 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 2.902 * * * [progress]: generating series expansions 2.902 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 3 2 2) 2.903 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 2.903 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 2.903 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 2.903 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.903 * [taylor]: Taking taylor expansion of N in N 2.903 * [backup-simplify]: Simplify 0 into 0 2.903 * [backup-simplify]: Simplify 1 into 1 2.903 * [taylor]: Taking taylor expansion of 1.0 in N 2.903 * [backup-simplify]: Simplify 1.0 into 1.0 2.903 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.904 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.904 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 2.904 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.904 * [taylor]: Taking taylor expansion of N in N 2.904 * [backup-simplify]: Simplify 0 into 0 2.904 * [backup-simplify]: Simplify 1 into 1 2.904 * [taylor]: Taking taylor expansion of 1.0 in N 2.904 * [backup-simplify]: Simplify 1.0 into 1.0 2.904 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.904 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.905 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.905 * [backup-simplify]: Simplify (+ 1 0) into 1 2.912 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 2.912 * [backup-simplify]: Simplify 1.0 into 1.0 2.912 * [backup-simplify]: Simplify (+ 0 0) into 0 2.918 * [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)) 2.919 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 2.920 * [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)))) 2.920 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 2.920 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 2.920 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 2.920 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.920 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.920 * [taylor]: Taking taylor expansion of N in N 2.920 * [backup-simplify]: Simplify 0 into 0 2.920 * [backup-simplify]: Simplify 1 into 1 2.920 * [backup-simplify]: Simplify (/ 1 1) into 1 2.920 * [taylor]: Taking taylor expansion of 1.0 in N 2.920 * [backup-simplify]: Simplify 1.0 into 1.0 2.921 * [backup-simplify]: Simplify (+ 1 0) into 1 2.921 * [backup-simplify]: Simplify (log 1) into 0 2.921 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 2.921 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.921 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.921 * [taylor]: Taking taylor expansion of N in N 2.921 * [backup-simplify]: Simplify 0 into 0 2.921 * [backup-simplify]: Simplify 1 into 1 2.921 * [backup-simplify]: Simplify (/ 1 1) into 1 2.921 * [taylor]: Taking taylor expansion of 1.0 in N 2.921 * [backup-simplify]: Simplify 1.0 into 1.0 2.921 * [backup-simplify]: Simplify (+ 1 0) into 1 2.922 * [backup-simplify]: Simplify (log 1) into 0 2.922 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.922 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 2.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.923 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.926 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 2.926 * [backup-simplify]: Simplify 1.0 into 1.0 2.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.927 * [backup-simplify]: Simplify (+ 0 0) into 0 2.933 * [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 2.934 * [backup-simplify]: Simplify -0.5 into -0.5 2.934 * [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)))) 2.934 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 2.934 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 2.934 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 2.934 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.934 * [taylor]: Taking taylor expansion of 1.0 in N 2.934 * [backup-simplify]: Simplify 1.0 into 1.0 2.934 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.934 * [taylor]: Taking taylor expansion of N in N 2.934 * [backup-simplify]: Simplify 0 into 0 2.934 * [backup-simplify]: Simplify 1 into 1 2.934 * [backup-simplify]: Simplify (/ 1 1) into 1 2.935 * [backup-simplify]: Simplify (- 1) into -1 2.935 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.935 * [backup-simplify]: Simplify (log -1) into (log -1) 2.935 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 2.935 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.935 * [taylor]: Taking taylor expansion of 1.0 in N 2.935 * [backup-simplify]: Simplify 1.0 into 1.0 2.935 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.935 * [taylor]: Taking taylor expansion of N in N 2.935 * [backup-simplify]: Simplify 0 into 0 2.935 * [backup-simplify]: Simplify 1 into 1 2.935 * [backup-simplify]: Simplify (/ 1 1) into 1 2.936 * [backup-simplify]: Simplify (- 1) into -1 2.936 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.936 * [backup-simplify]: Simplify (log -1) into (log -1) 2.937 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.937 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 2.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.938 * [backup-simplify]: Simplify (- 0) into 0 2.938 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.942 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 2.942 * [backup-simplify]: Simplify -1.0 into -1.0 2.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.943 * [backup-simplify]: Simplify (- 0) into 0 2.943 * [backup-simplify]: Simplify (+ 0 0) into 0 2.949 * [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 2.950 * [backup-simplify]: Simplify -0.5 into -0.5 2.950 * [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)))) 2.950 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 3 1) 2.950 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 2.950 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 2.950 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 2.950 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.951 * [taylor]: Taking taylor expansion of N in N 2.951 * [backup-simplify]: Simplify 0 into 0 2.951 * [backup-simplify]: Simplify 1 into 1 2.951 * [taylor]: Taking taylor expansion of 1.0 in N 2.951 * [backup-simplify]: Simplify 1.0 into 1.0 2.951 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.951 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.951 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 2.951 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.952 * [taylor]: Taking taylor expansion of N in N 2.952 * [backup-simplify]: Simplify 0 into 0 2.952 * [backup-simplify]: Simplify 1 into 1 2.952 * [taylor]: Taking taylor expansion of 1.0 in N 2.952 * [backup-simplify]: Simplify 1.0 into 1.0 2.952 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.952 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.953 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.953 * [backup-simplify]: Simplify (+ 1 0) into 1 2.958 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 2.958 * [backup-simplify]: Simplify 1.0 into 1.0 2.959 * [backup-simplify]: Simplify (+ 0 0) into 0 2.969 * [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)) 2.970 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 2.972 * [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)))) 2.972 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 2.972 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 2.972 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 2.972 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.972 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.972 * [taylor]: Taking taylor expansion of N in N 2.972 * [backup-simplify]: Simplify 0 into 0 2.972 * [backup-simplify]: Simplify 1 into 1 2.972 * [backup-simplify]: Simplify (/ 1 1) into 1 2.972 * [taylor]: Taking taylor expansion of 1.0 in N 2.972 * [backup-simplify]: Simplify 1.0 into 1.0 2.973 * [backup-simplify]: Simplify (+ 1 0) into 1 2.973 * [backup-simplify]: Simplify (log 1) into 0 2.973 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 2.973 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.973 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.973 * [taylor]: Taking taylor expansion of N in N 2.973 * [backup-simplify]: Simplify 0 into 0 2.973 * [backup-simplify]: Simplify 1 into 1 2.974 * [backup-simplify]: Simplify (/ 1 1) into 1 2.974 * [taylor]: Taking taylor expansion of 1.0 in N 2.974 * [backup-simplify]: Simplify 1.0 into 1.0 2.974 * [backup-simplify]: Simplify (+ 1 0) into 1 2.975 * [backup-simplify]: Simplify (log 1) into 0 2.975 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.975 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 2.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.976 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.981 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 2.981 * [backup-simplify]: Simplify 1.0 into 1.0 2.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.982 * [backup-simplify]: Simplify (+ 0 0) into 0 2.988 * [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 2.988 * [backup-simplify]: Simplify -0.5 into -0.5 2.989 * [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)))) 2.989 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 2.989 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 2.989 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 2.989 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.989 * [taylor]: Taking taylor expansion of 1.0 in N 2.989 * [backup-simplify]: Simplify 1.0 into 1.0 2.989 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.989 * [taylor]: Taking taylor expansion of N in N 2.989 * [backup-simplify]: Simplify 0 into 0 2.989 * [backup-simplify]: Simplify 1 into 1 2.989 * [backup-simplify]: Simplify (/ 1 1) into 1 2.989 * [backup-simplify]: Simplify (- 1) into -1 2.990 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.990 * [backup-simplify]: Simplify (log -1) into (log -1) 2.990 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 2.990 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.990 * [taylor]: Taking taylor expansion of 1.0 in N 2.990 * [backup-simplify]: Simplify 1.0 into 1.0 2.990 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.990 * [taylor]: Taking taylor expansion of N in N 2.990 * [backup-simplify]: Simplify 0 into 0 2.990 * [backup-simplify]: Simplify 1 into 1 2.990 * [backup-simplify]: Simplify (/ 1 1) into 1 2.991 * [backup-simplify]: Simplify (- 1) into -1 2.991 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.991 * [backup-simplify]: Simplify (log -1) into (log -1) 2.992 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.992 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 2.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.993 * [backup-simplify]: Simplify (- 0) into 0 2.993 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.997 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 2.997 * [backup-simplify]: Simplify -1.0 into -1.0 2.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.998 * [backup-simplify]: Simplify (- 0) into 0 2.998 * [backup-simplify]: Simplify (+ 0 0) into 0 3.009 * [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 3.009 * [backup-simplify]: Simplify -0.5 into -0.5 3.010 * [backup-simplify]: Simplify (+ (* -0.5 (pow (/ 1 (- N)) 2)) (+ (* -1.0 (/ 1 (- N))) (- (log -1) (log (/ 1 (- N)))))) into (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) 3.010 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 3.011 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 3.011 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 3.011 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 3.011 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.011 * [taylor]: Taking taylor expansion of N in N 3.011 * [backup-simplify]: Simplify 0 into 0 3.011 * [backup-simplify]: Simplify 1 into 1 3.011 * [taylor]: Taking taylor expansion of 1.0 in N 3.011 * [backup-simplify]: Simplify 1.0 into 1.0 3.011 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.011 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.011 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 3.011 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.011 * [taylor]: Taking taylor expansion of N in N 3.011 * [backup-simplify]: Simplify 0 into 0 3.011 * [backup-simplify]: Simplify 1 into 1 3.011 * [taylor]: Taking taylor expansion of 1.0 in N 3.011 * [backup-simplify]: Simplify 1.0 into 1.0 3.012 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.012 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.012 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.013 * [backup-simplify]: Simplify (+ 1 0) into 1 3.016 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 3.016 * [backup-simplify]: Simplify 1.0 into 1.0 3.016 * [backup-simplify]: Simplify (+ 0 0) into 0 3.022 * [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)) 3.023 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 3.025 * [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)))) 3.025 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 3.025 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 3.025 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 3.025 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.025 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.025 * [taylor]: Taking taylor expansion of N in N 3.025 * [backup-simplify]: Simplify 0 into 0 3.025 * [backup-simplify]: Simplify 1 into 1 3.026 * [backup-simplify]: Simplify (/ 1 1) into 1 3.026 * [taylor]: Taking taylor expansion of 1.0 in N 3.026 * [backup-simplify]: Simplify 1.0 into 1.0 3.026 * [backup-simplify]: Simplify (+ 1 0) into 1 3.026 * [backup-simplify]: Simplify (log 1) into 0 3.026 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 3.026 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.026 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.026 * [taylor]: Taking taylor expansion of N in N 3.026 * [backup-simplify]: Simplify 0 into 0 3.026 * [backup-simplify]: Simplify 1 into 1 3.027 * [backup-simplify]: Simplify (/ 1 1) into 1 3.027 * [taylor]: Taking taylor expansion of 1.0 in N 3.027 * [backup-simplify]: Simplify 1.0 into 1.0 3.027 * [backup-simplify]: Simplify (+ 1 0) into 1 3.027 * [backup-simplify]: Simplify (log 1) into 0 3.028 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.028 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 3.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.029 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.033 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 3.033 * [backup-simplify]: Simplify 1.0 into 1.0 3.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.034 * [backup-simplify]: Simplify (+ 0 0) into 0 3.040 * [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 3.041 * [backup-simplify]: Simplify -0.5 into -0.5 3.041 * [backup-simplify]: Simplify (+ (* -0.5 (pow (/ 1 N) 2)) (+ (* 1.0 (/ 1 N)) (- (log (/ 1 N))))) into (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) 3.041 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 3.041 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 3.041 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 3.041 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.041 * [taylor]: Taking taylor expansion of 1.0 in N 3.041 * [backup-simplify]: Simplify 1.0 into 1.0 3.041 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.041 * [taylor]: Taking taylor expansion of N in N 3.041 * [backup-simplify]: Simplify 0 into 0 3.041 * [backup-simplify]: Simplify 1 into 1 3.041 * [backup-simplify]: Simplify (/ 1 1) into 1 3.042 * [backup-simplify]: Simplify (- 1) into -1 3.042 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.042 * [backup-simplify]: Simplify (log -1) into (log -1) 3.042 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 3.042 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.042 * [taylor]: Taking taylor expansion of 1.0 in N 3.042 * [backup-simplify]: Simplify 1.0 into 1.0 3.042 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.042 * [taylor]: Taking taylor expansion of N in N 3.042 * [backup-simplify]: Simplify 0 into 0 3.042 * [backup-simplify]: Simplify 1 into 1 3.042 * [backup-simplify]: Simplify (/ 1 1) into 1 3.043 * [backup-simplify]: Simplify (- 1) into -1 3.043 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.043 * [backup-simplify]: Simplify (log -1) into (log -1) 3.044 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.044 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 3.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.045 * [backup-simplify]: Simplify (- 0) into 0 3.045 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.049 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 3.049 * [backup-simplify]: Simplify -1.0 into -1.0 3.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.050 * [backup-simplify]: Simplify (- 0) into 0 3.050 * [backup-simplify]: Simplify (+ 0 0) into 0 3.056 * [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 3.056 * [backup-simplify]: Simplify -0.5 into -0.5 3.057 * [backup-simplify]: Simplify (+ (* -0.5 (pow (/ 1 (- N)) 2)) (+ (* -1.0 (/ 1 (- N))) (- (log -1) (log (/ 1 (- N)))))) into (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) 3.057 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 3.057 * [backup-simplify]: Simplify (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) into (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) 3.057 * [approximate]: Taking taylor expansion of (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) in (N) around 0 3.057 * [taylor]: Taking taylor expansion of (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) in N 3.057 * [taylor]: Taking taylor expansion of (pow (log (+ N 1.0)) 3) in N 3.057 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 3.057 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.057 * [taylor]: Taking taylor expansion of N in N 3.057 * [backup-simplify]: Simplify 0 into 0 3.057 * [backup-simplify]: Simplify 1 into 1 3.057 * [taylor]: Taking taylor expansion of 1.0 in N 3.057 * [backup-simplify]: Simplify 1.0 into 1.0 3.058 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.058 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.058 * [taylor]: Taking taylor expansion of (pow (log N) 3) in N 3.058 * [taylor]: Taking taylor expansion of (log N) in N 3.058 * [taylor]: Taking taylor expansion of N in N 3.058 * [backup-simplify]: Simplify 0 into 0 3.058 * [backup-simplify]: Simplify 1 into 1 3.058 * [backup-simplify]: Simplify (log 1) into 0 3.059 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.059 * [taylor]: Taking taylor expansion of (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) in N 3.059 * [taylor]: Taking taylor expansion of (pow (log (+ N 1.0)) 3) in N 3.059 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 3.059 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.059 * [taylor]: Taking taylor expansion of N in N 3.059 * [backup-simplify]: Simplify 0 into 0 3.059 * [backup-simplify]: Simplify 1 into 1 3.059 * [taylor]: Taking taylor expansion of 1.0 in N 3.059 * [backup-simplify]: Simplify 1.0 into 1.0 3.059 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.059 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.059 * [taylor]: Taking taylor expansion of (pow (log N) 3) in N 3.059 * [taylor]: Taking taylor expansion of (log N) in N 3.059 * [taylor]: Taking taylor expansion of N in N 3.059 * [backup-simplify]: Simplify 0 into 0 3.059 * [backup-simplify]: Simplify 1 into 1 3.060 * [backup-simplify]: Simplify (log 1) into 0 3.060 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.061 * [backup-simplify]: Simplify (* (log 1.0) (log 1.0)) into (pow (log 1.0) 2) 3.062 * [backup-simplify]: Simplify (* (log 1.0) (pow (log 1.0) 2)) into (pow (log 1.0) 3) 3.063 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.063 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.064 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.064 * [backup-simplify]: Simplify (* (log N) (log N)) into (pow (log N) 2) 3.064 * [backup-simplify]: Simplify (* (log N) (pow (log N) 2)) into (pow (log N) 3) 3.064 * [backup-simplify]: Simplify (- (pow (log N) 3)) into (- (pow (log N) 3)) 3.065 * [backup-simplify]: Simplify (+ (pow (log 1.0) 3) (- (pow (log N) 3))) into (- (pow (log 1.0) 3) (pow (log N) 3)) 3.066 * [backup-simplify]: Simplify (- (pow (log 1.0) 3) (pow (log N) 3)) into (- (pow (log 1.0) 3) (pow (log N) 3)) 3.067 * [backup-simplify]: Simplify (+ 1 0) into 1 3.072 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 3.074 * [backup-simplify]: Simplify (+ (* (log 1.0) 1.0) (* 1.0 (log 1.0))) into (* 2.0 (log 1.0)) 3.079 * [backup-simplify]: Simplify (+ (* (log 1.0) (* 2.0 (log 1.0))) (* 1.0 (pow (log 1.0) 2))) into (* 3.0 (pow (log 1.0) 2)) 3.079 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.080 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.081 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.081 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.081 * [backup-simplify]: Simplify (+ (* (log N) 0) (* 0 (log N))) into 0 3.082 * [backup-simplify]: Simplify (+ (* (log N) 0) (* 0 (pow (log N) 2))) into 0 3.082 * [backup-simplify]: Simplify (- 0) into 0 3.085 * [backup-simplify]: Simplify (+ (* 3.0 (pow (log 1.0) 2)) 0) into (* 3.0 (pow (log 1.0) 2)) 3.086 * [backup-simplify]: Simplify (* 3.0 (pow (log 1.0) 2)) into (* 3.0 (pow (log 1.0) 2)) 3.087 * [backup-simplify]: Simplify (+ 0 0) into 0 3.097 * [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)) 3.105 * [backup-simplify]: Simplify (+ (* (log 1.0) (/ -1/2 (pow 1.0 2))) (+ (* 1.0 1.0) (* (/ -1/2 (pow 1.0 2)) (log 1.0)))) into (- 1.0 (/ (log 1.0) (pow 1.0 2))) 3.117 * [backup-simplify]: Simplify (+ (* (log 1.0) (- 1.0 (/ (log 1.0) (pow 1.0 2)))) (+ (* 1.0 (* 2.0 (log 1.0))) (* (/ -1/2 (pow 1.0 2)) (pow (log 1.0) 2)))) into (- (* 3.0 (log 1.0)) (* 3/2 (/ (pow (log 1.0) 2) (pow 1.0 2)))) 3.117 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.123 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.126 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.127 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.127 * [backup-simplify]: Simplify (+ (* (log N) 0) (+ (* 0 0) (* 0 (log N)))) into 0 3.128 * [backup-simplify]: Simplify (+ (* (log N) 0) (+ (* 0 0) (* 0 (pow (log N) 2)))) into 0 3.128 * [backup-simplify]: Simplify (- 0) into 0 3.135 * [backup-simplify]: Simplify (+ (- (* 3.0 (log 1.0)) (* 3/2 (/ (pow (log 1.0) 2) (pow 1.0 2)))) 0) into (- (* 3.0 (log 1.0)) (* 3/2 (/ (pow (log 1.0) 2) (pow 1.0 2)))) 3.141 * [backup-simplify]: Simplify (- (* 3.0 (log 1.0)) (* 3/2 (/ (pow (log 1.0) 2) (pow 1.0 2)))) into (- (* 3.0 (log 1.0)) (* 3/2 (/ (pow (log 1.0) 2) (pow 1.0 2)))) 3.150 * [backup-simplify]: Simplify (+ (* (- (* 3.0 (log 1.0)) (* 3/2 (/ (pow (log 1.0) 2) (pow 1.0 2)))) (pow N 2)) (+ (* (* 3.0 (pow (log 1.0) 2)) N) (- (pow (log 1.0) 3) (pow (log N) 3)))) into (- (+ (pow (log 1.0) 3) (+ (* 3.0 (* (log 1.0) (pow N 2))) (* 3.0 (* (pow (log 1.0) 2) N)))) (+ (pow (log N) 3) (* 3/2 (/ (* (pow (log 1.0) 2) (pow N 2)) (pow 1.0 2))))) 3.151 * [backup-simplify]: Simplify (- (pow (log (+ (/ 1 N) 1.0)) 3) (pow (log (/ 1 N)) 3)) into (- (pow (log (+ (/ 1 N) 1.0)) 3) (pow (log (/ 1 N)) 3)) 3.151 * [approximate]: Taking taylor expansion of (- (pow (log (+ (/ 1 N) 1.0)) 3) (pow (log (/ 1 N)) 3)) in (N) around 0 3.151 * [taylor]: Taking taylor expansion of (- (pow (log (+ (/ 1 N) 1.0)) 3) (pow (log (/ 1 N)) 3)) in N 3.151 * [taylor]: Taking taylor expansion of (pow (log (+ (/ 1 N) 1.0)) 3) in N 3.151 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 3.151 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.151 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.151 * [taylor]: Taking taylor expansion of N in N 3.151 * [backup-simplify]: Simplify 0 into 0 3.151 * [backup-simplify]: Simplify 1 into 1 3.152 * [backup-simplify]: Simplify (/ 1 1) into 1 3.152 * [taylor]: Taking taylor expansion of 1.0 in N 3.152 * [backup-simplify]: Simplify 1.0 into 1.0 3.152 * [backup-simplify]: Simplify (+ 1 0) into 1 3.153 * [backup-simplify]: Simplify (log 1) into 0 3.153 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.153 * [taylor]: Taking taylor expansion of (pow (log (/ 1 N)) 3) in N 3.153 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.153 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.153 * [taylor]: Taking taylor expansion of N in N 3.153 * [backup-simplify]: Simplify 0 into 0 3.153 * [backup-simplify]: Simplify 1 into 1 3.154 * [backup-simplify]: Simplify (/ 1 1) into 1 3.154 * [backup-simplify]: Simplify (log 1) into 0 3.155 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.155 * [taylor]: Taking taylor expansion of (- (pow (log (+ (/ 1 N) 1.0)) 3) (pow (log (/ 1 N)) 3)) in N 3.155 * [taylor]: Taking taylor expansion of (pow (log (+ (/ 1 N) 1.0)) 3) in N 3.155 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 3.155 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.155 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.155 * [taylor]: Taking taylor expansion of N in N 3.155 * [backup-simplify]: Simplify 0 into 0 3.155 * [backup-simplify]: Simplify 1 into 1 3.155 * [backup-simplify]: Simplify (/ 1 1) into 1 3.155 * [taylor]: Taking taylor expansion of 1.0 in N 3.155 * [backup-simplify]: Simplify 1.0 into 1.0 3.156 * [backup-simplify]: Simplify (+ 1 0) into 1 3.156 * [backup-simplify]: Simplify (log 1) into 0 3.156 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.156 * [taylor]: Taking taylor expansion of (pow (log (/ 1 N)) 3) in N 3.157 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.157 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.157 * [taylor]: Taking taylor expansion of N in N 3.157 * [backup-simplify]: Simplify 0 into 0 3.157 * [backup-simplify]: Simplify 1 into 1 3.157 * [backup-simplify]: Simplify (/ 1 1) into 1 3.157 * [backup-simplify]: Simplify (log 1) into 0 3.158 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.158 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.159 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.159 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.159 * [backup-simplify]: Simplify (* (- (log N)) (- (log N))) into (pow (log N) 2) 3.160 * [backup-simplify]: Simplify (* (- (log N)) (pow (log N) 2)) into (* -1 (pow (log N) 3)) 3.160 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.161 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.161 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.161 * [backup-simplify]: Simplify (* (- (log N)) (- (log N))) into (pow (log N) 2) 3.161 * [backup-simplify]: Simplify (* (- (log N)) (pow (log N) 2)) into (* -1 (pow (log N) 3)) 3.162 * [backup-simplify]: Simplify (- (* -1 (pow (log N) 3))) into (pow (log N) 3) 3.162 * [backup-simplify]: Simplify (+ (* -1 (pow (log N) 3)) (pow (log N) 3)) into 0 3.162 * [backup-simplify]: Simplify 0 into 0 3.163 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.163 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.164 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.173 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 3.173 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.173 * [backup-simplify]: Simplify (+ (* (- (log N)) 1.0) (* 1.0 (- (log N)))) into (- (* 2.0 (log N))) 3.174 * [backup-simplify]: Simplify (+ (* (- (log N)) (- (* 2.0 (log N)))) (* 1.0 (pow (log N) 2))) into (* 3.0 (pow (log N) 2)) 3.174 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.174 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.176 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.176 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.176 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (* 0 (- (log N)))) into 0 3.176 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (* 0 (pow (log N) 2))) into 0 3.177 * [backup-simplify]: Simplify (- 0) into 0 3.177 * [backup-simplify]: Simplify (+ (* 3.0 (pow (log N) 2)) 0) into (* 3.0 (pow (log N) 2)) 3.177 * [backup-simplify]: Simplify (* 3.0 (pow (log N) 2)) into (* 3.0 (pow (log N) 2)) 3.177 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.177 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.178 * [backup-simplify]: Simplify (+ 0 0) into 0 3.184 * [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 3.185 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.185 * [backup-simplify]: Simplify (+ (* (- (log N)) -0.5) (+ (* 1.0 1.0) (* -0.5 (- (log N))))) into (+ (* 1.0 (log N)) 1.0) 3.185 * [backup-simplify]: Simplify (+ (* (- (log N)) (+ (* 1.0 (log N)) 1.0)) (+ (* 1.0 (- (* 2.0 (log N)))) (* -0.5 (pow (log N) 2)))) into (- (+ (* 3.0 (log N)) (* 1.5 (pow (log N) 2)))) 3.186 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.186 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.188 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.188 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.189 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 3.189 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (+ (* 0 0) (* 0 (pow (log N) 2)))) into 0 3.190 * [backup-simplify]: Simplify (- 0) into 0 3.190 * [backup-simplify]: Simplify (+ (- (+ (* 3.0 (log N)) (* 1.5 (pow (log N) 2)))) 0) into (- (+ (* 3.0 (log N)) (* 1.5 (pow (log N) 2)))) 3.190 * [backup-simplify]: Simplify (- (+ (* 3.0 (log N)) (* 1.5 (pow (log N) 2)))) into (- (+ (* 3.0 (log N)) (* 1.5 (pow (log N) 2)))) 3.190 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.191 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.191 * [backup-simplify]: Simplify (+ 0 0) into 0 3.201 * [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 3.201 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.202 * [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)) 3.202 * [backup-simplify]: Simplify (+ (* (- (log N)) (- (+ (* 0.6666666666666666 (log N)) 1.0))) (+ (* 1.0 (+ (* 1.0 (log N)) 1.0)) (+ (* -0.5 (- (* 2.0 (log N)))) (* 0.3333333333333333 (pow (log N) 2))))) into (+ (* 3.0 (log N)) (+ (* 1.0 (pow (log N) 2)) 1.0)) 3.203 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.203 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.207 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 3.207 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.208 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 3.209 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (log N) 2))))) into 0 3.210 * [backup-simplify]: Simplify (- 0) into 0 3.210 * [backup-simplify]: Simplify (+ (+ (* 3.0 (log N)) (+ (* 1.0 (pow (log N) 2)) 1.0)) 0) into (+ (* 3.0 (log N)) (+ (* 1.0 (pow (log N) 2)) 1.0)) 3.210 * [backup-simplify]: Simplify (+ (* 3.0 (log N)) (+ (* 1.0 (pow (log N) 2)) 1.0)) into (+ (* 3.0 (log N)) (+ (* 1.0 (pow (log N) 2)) 1.0)) 3.213 * [backup-simplify]: Simplify (+ (* (+ (* 3.0 (log (/ 1 N))) (+ (* 1.0 (pow (log (/ 1 N)) 2)) 1.0)) (pow (/ 1 N) 3)) (+ (* (- (+ (* 3.0 (log (/ 1 N))) (* 1.5 (pow (log (/ 1 N)) 2)))) (pow (/ 1 N) 2)) (* (* 3.0 (pow (log (/ 1 N)) 2)) (/ 1 N)))) into (- (+ (* 3.0 (/ (pow (log (/ 1 N)) 2) N)) (+ (* 1.0 (/ 1 (pow N 3))) (+ (* 3.0 (/ (log (/ 1 N)) (pow N 3))) (* 1.0 (/ (pow (log (/ 1 N)) 2) (pow N 3)))))) (+ (* 3.0 (/ (log (/ 1 N)) (pow N 2))) (* 1.5 (/ (pow (log (/ 1 N)) 2) (pow N 2))))) 3.213 * [backup-simplify]: Simplify (- (pow (log (+ (/ 1 (- N)) 1.0)) 3) (pow (log (/ 1 (- N))) 3)) into (- (pow (log (- 1.0 (/ 1 N))) 3) (pow (log (/ -1 N)) 3)) 3.213 * [approximate]: Taking taylor expansion of (- (pow (log (- 1.0 (/ 1 N))) 3) (pow (log (/ -1 N)) 3)) in (N) around 0 3.213 * [taylor]: Taking taylor expansion of (- (pow (log (- 1.0 (/ 1 N))) 3) (pow (log (/ -1 N)) 3)) in N 3.213 * [taylor]: Taking taylor expansion of (pow (log (- 1.0 (/ 1 N))) 3) in N 3.213 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 3.213 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.213 * [taylor]: Taking taylor expansion of 1.0 in N 3.213 * [backup-simplify]: Simplify 1.0 into 1.0 3.213 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.213 * [taylor]: Taking taylor expansion of N in N 3.213 * [backup-simplify]: Simplify 0 into 0 3.213 * [backup-simplify]: Simplify 1 into 1 3.214 * [backup-simplify]: Simplify (/ 1 1) into 1 3.214 * [backup-simplify]: Simplify (- 1) into -1 3.215 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.215 * [backup-simplify]: Simplify (log -1) into (log -1) 3.216 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.216 * [taylor]: Taking taylor expansion of (pow (log (/ -1 N)) 3) in N 3.216 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 3.216 * [taylor]: Taking taylor expansion of (/ -1 N) in N 3.216 * [taylor]: Taking taylor expansion of -1 in N 3.216 * [backup-simplify]: Simplify -1 into -1 3.216 * [taylor]: Taking taylor expansion of N in N 3.216 * [backup-simplify]: Simplify 0 into 0 3.216 * [backup-simplify]: Simplify 1 into 1 3.217 * [backup-simplify]: Simplify (/ -1 1) into -1 3.217 * [backup-simplify]: Simplify (log -1) into (log -1) 3.218 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.218 * [taylor]: Taking taylor expansion of (- (pow (log (- 1.0 (/ 1 N))) 3) (pow (log (/ -1 N)) 3)) in N 3.218 * [taylor]: Taking taylor expansion of (pow (log (- 1.0 (/ 1 N))) 3) in N 3.218 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 3.218 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.218 * [taylor]: Taking taylor expansion of 1.0 in N 3.218 * [backup-simplify]: Simplify 1.0 into 1.0 3.218 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.218 * [taylor]: Taking taylor expansion of N in N 3.219 * [backup-simplify]: Simplify 0 into 0 3.219 * [backup-simplify]: Simplify 1 into 1 3.219 * [backup-simplify]: Simplify (/ 1 1) into 1 3.219 * [backup-simplify]: Simplify (- 1) into -1 3.220 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.220 * [backup-simplify]: Simplify (log -1) into (log -1) 3.221 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.221 * [taylor]: Taking taylor expansion of (pow (log (/ -1 N)) 3) in N 3.221 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 3.221 * [taylor]: Taking taylor expansion of (/ -1 N) in N 3.221 * [taylor]: Taking taylor expansion of -1 in N 3.221 * [backup-simplify]: Simplify -1 into -1 3.221 * [taylor]: Taking taylor expansion of N in N 3.221 * [backup-simplify]: Simplify 0 into 0 3.221 * [backup-simplify]: Simplify 1 into 1 3.222 * [backup-simplify]: Simplify (/ -1 1) into -1 3.222 * [backup-simplify]: Simplify (log -1) into (log -1) 3.223 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.224 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.225 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.225 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.226 * [backup-simplify]: Simplify (* (- (log -1) (log N)) (- (log -1) (log N))) into (pow (- (log -1) (log N)) 2) 3.227 * [backup-simplify]: Simplify (* (- (log -1) (log N)) (pow (- (log -1) (log N)) 2)) into (pow (- (log -1) (log N)) 3) 3.228 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.229 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.230 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.231 * [backup-simplify]: Simplify (* (- (log -1) (log N)) (- (log -1) (log N))) into (pow (- (log -1) (log N)) 2) 3.232 * [backup-simplify]: Simplify (* (- (log -1) (log N)) (pow (- (log -1) (log N)) 2)) into (pow (- (log -1) (log N)) 3) 3.232 * [backup-simplify]: Simplify (- (pow (- (log -1) (log N)) 3)) into (- (+ (pow (log N) 3) (* 3 (* (log N) (pow (log -1) 2)))) (+ (* 3 (* (pow (log N) 2) (log -1))) (pow (log -1) 3))) 3.236 * [backup-simplify]: Simplify (+ (pow (- (log -1) (log N)) 3) (- (+ (pow (log N) 3) (* 3 (* (log N) (pow (log -1) 2)))) (+ (* 3 (* (pow (log N) 2) (log -1))) (pow (log -1) 3)))) into 0 3.236 * [backup-simplify]: Simplify 0 into 0 3.237 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.238 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.239 * [backup-simplify]: Simplify (- 0) into 0 3.240 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.252 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 3.253 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.254 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) -1.0) (* -1.0 (- (log -1) (log N)))) into (- (* 2.0 (log N)) (* 2.0 (log -1))) 3.256 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) (- (* 2.0 (log N)) (* 2.0 (log -1)))) (* -1.0 (pow (- (log -1) (log N)) 2))) into (- (* 6.0 (* (log N) (log -1))) (+ (* 3.0 (pow (log N) 2)) (* 3.0 (pow (log -1) 2)))) 3.257 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.258 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.259 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.260 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 3.261 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.262 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (* 0 (- (log -1) (log N)))) into 0 3.263 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (* 0 (pow (- (log -1) (log N)) 2))) into 0 3.263 * [backup-simplify]: Simplify (- 0) into 0 3.266 * [backup-simplify]: Simplify (+ (- (* 6.0 (* (log N) (log -1))) (+ (* 3.0 (pow (log N) 2)) (* 3.0 (pow (log -1) 2)))) 0) into (- (* 6.0 (* (log N) (log -1))) (+ (* 3.0 (pow (log N) 2)) (* 3.0 (pow (log -1) 2)))) 3.268 * [backup-simplify]: Simplify (- (* 6.0 (* (log N) (log -1))) (+ (* 3.0 (pow (log N) 2)) (* 3.0 (pow (log -1) 2)))) into (- (* 6.0 (* (log N) (log -1))) (+ (* 3.0 (pow (log N) 2)) (* 3.0 (pow (log -1) 2)))) 3.269 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.270 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.271 * [backup-simplify]: Simplify (- 0) into 0 3.272 * [backup-simplify]: Simplify (+ 0 0) into 0 3.281 * [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 3.282 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.282 * [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))) 3.284 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) (- (+ (* 1.0 (log N)) 1.0) (* 1.0 (log -1)))) (+ (* -1.0 (- (* 2.0 (log N)) (* 2.0 (log -1)))) (* -0.5 (pow (- (log -1) (log N)) 2)))) into (- (+ (* 3.0 (* (log N) (log -1))) (* 3.0 (log -1))) (+ (* 1.5 (pow (log -1) 2)) (+ (* 3.0 (log N)) (* 1.5 (pow (log N) 2))))) 3.285 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.285 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.286 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.288 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 3.288 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.289 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))) into 0 3.290 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (+ (* 0 0) (* 0 (pow (- (log -1) (log N)) 2)))) into 0 3.290 * [backup-simplify]: Simplify (- 0) into 0 3.292 * [backup-simplify]: Simplify (+ (- (+ (* 3.0 (* (log N) (log -1))) (* 3.0 (log -1))) (+ (* 1.5 (pow (log -1) 2)) (+ (* 3.0 (log N)) (* 1.5 (pow (log N) 2))))) 0) into (- (+ (* 3.0 (* (log N) (log -1))) (* 3.0 (log -1))) (+ (* 1.5 (pow (log -1) 2)) (+ (* 3.0 (log N)) (* 1.5 (pow (log N) 2))))) 3.294 * [backup-simplify]: Simplify (- (+ (* 3.0 (* (log N) (log -1))) (* 3.0 (log -1))) (+ (* 1.5 (pow (log -1) 2)) (+ (* 3.0 (log N)) (* 1.5 (pow (log N) 2))))) into (- (+ (* 3.0 (* (log N) (log -1))) (* 3.0 (log -1))) (+ (* 1.5 (pow (log -1) 2)) (+ (* 3.0 (log N)) (* 1.5 (pow (log N) 2))))) 3.295 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.296 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.296 * [backup-simplify]: Simplify (- 0) into 0 3.297 * [backup-simplify]: Simplify (+ 0 0) into 0 3.307 * [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 3.308 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.309 * [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))) 3.314 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) (- (+ (* 0.6666666666666666 (log N)) 1.0) (* 0.6666666666666666 (log -1)))) (+ (* -1.0 (- (+ (* 1.0 (log N)) 1.0) (* 1.0 (log -1)))) (+ (* -0.5 (- (* 2.0 (log N)) (* 2.0 (log -1)))) (* -0.3333333333333333 (pow (- (log -1) (log N)) 2))))) into (- (+ (* 2.0 (* (log N) (log -1))) (* 3.0 (log -1))) (+ (* 1.0 (pow (log -1) 2)) (+ (* 3.0 (log N)) (+ (* 1.0 (pow (log N) 2)) 1.0)))) 3.315 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.316 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.317 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.321 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 3.322 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.324 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N)))))) into 0 3.325 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (- (log -1) (log N)) 2))))) into 0 3.325 * [backup-simplify]: Simplify (- 0) into 0 3.329 * [backup-simplify]: Simplify (+ (- (+ (* 2.0 (* (log N) (log -1))) (* 3.0 (log -1))) (+ (* 1.0 (pow (log -1) 2)) (+ (* 3.0 (log N)) (+ (* 1.0 (pow (log N) 2)) 1.0)))) 0) into (- (+ (* 2.0 (* (log N) (log -1))) (* 3.0 (log -1))) (+ (* 1.0 (pow (log -1) 2)) (+ (* 3.0 (log N)) (+ (* 1.0 (pow (log N) 2)) 1.0)))) 3.331 * [backup-simplify]: Simplify (- (+ (* 2.0 (* (log N) (log -1))) (* 3.0 (log -1))) (+ (* 1.0 (pow (log -1) 2)) (+ (* 3.0 (log N)) (+ (* 1.0 (pow (log N) 2)) 1.0)))) into (- (+ (* 2.0 (* (log N) (log -1))) (* 3.0 (log -1))) (+ (* 1.0 (pow (log -1) 2)) (+ (* 3.0 (log N)) (+ (* 1.0 (pow (log N) 2)) 1.0)))) 3.338 * [backup-simplify]: Simplify (+ (* (- (+ (* 2.0 (* (log (/ 1 (- N))) (log -1))) (* 3.0 (log -1))) (+ (* 1.0 (pow (log -1) 2)) (+ (* 3.0 (log (/ 1 (- N)))) (+ (* 1.0 (pow (log (/ 1 (- N))) 2)) 1.0)))) (pow (/ 1 (- N)) 3)) (+ (* (- (+ (* 3.0 (* (log (/ 1 (- N))) (log -1))) (* 3.0 (log -1))) (+ (* 1.5 (pow (log -1) 2)) (+ (* 3.0 (log (/ 1 (- N)))) (* 1.5 (pow (log (/ 1 (- N))) 2))))) (pow (/ 1 (- N)) 2)) (* (- (* 6.0 (* (log (/ 1 (- N))) (log -1))) (+ (* 3.0 (pow (log (/ 1 (- N))) 2)) (* 3.0 (pow (log -1) 2)))) (/ 1 (- N))))) into (- (+ (* 3.0 (/ (* (log (/ -1 N)) (log -1)) (pow N 2))) (+ (* 3.0 (/ (log (/ -1 N)) (pow N 3))) (+ (* 3.0 (/ (log -1) (pow N 2))) (+ (* 1.0 (/ (pow (log (/ -1 N)) 2) (pow N 3))) (+ (* 1.0 (/ 1 (pow N 3))) (+ (* 3.0 (/ (pow (log (/ -1 N)) 2) N)) (+ (* 3.0 (/ (pow (log -1) 2) N)) (* 1.0 (/ (pow (log -1) 2) (pow N 3)))))))))) (+ (* 1.5 (/ (pow (log -1) 2) (pow N 2))) (+ (* 3.0 (/ (log -1) (pow N 3))) (+ (* 6.0 (/ (* (log (/ -1 N)) (log -1)) N)) (+ (* 3.0 (/ (log (/ -1 N)) (pow N 2))) (+ (* 2.0 (/ (* (log (/ -1 N)) (log -1)) (pow N 3))) (* 1.5 (/ (pow (log (/ -1 N)) 2) (pow N 2))))))))) 3.338 * * * [progress]: simplifying candidates 3.345 * [simplify]: Simplifying: (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* 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Extracting #2: cost 969 inf + 264 5.867 * * [simplify]: Extracting #3: cost 820 inf + 2992 5.878 * * [simplify]: Extracting #4: cost 362 inf + 8217 5.893 * * [simplify]: Extracting #5: cost 90 inf + 11288 5.903 * * [simplify]: Extracting #6: cost 18 inf + 14226 5.913 * * [simplify]: Extracting #7: cost 0 inf + 15667 5.921 * * [simplify]: Extracting #8: cost 0 inf + 15623 5.927 * * [simplify]: Extracting #9: cost 0 inf + 15612 5.935 * [simplify]: Simplified to: (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (* 2 (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (fma 1.0 (- 1.0 N) (pow N 2))) (log (* (+ N 1.0) (- N 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) 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(log N) 3)) (* (pow (log N) 3) 0) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) 0) (- (pow (log (+ N 1.0)) 3) (pow (sqrt (log N)) 6)) (+ (pow (sqrt (log N)) 6) (- (pow (sqrt (log N)) 6))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) 0) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) 0) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) 0) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) 0) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) 0) (- (pow (log (+ N 1.0)) 3) (pow (sqrt (log N)) 6)) (+ (pow (sqrt (log N)) 6) (- (pow (sqrt (log N)) 6))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) 0) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) 0) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) 0) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) 0) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) 0) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) 0) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) 0) (- (pow (log (+ N 1.0)) 3) (pow (sqrt (log N)) 6)) (+ (pow (sqrt (log N)) 6) (- (pow (sqrt (log N)) 6))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) 0) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) 0) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) 0) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) 0) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) 0) (- (pow (log (+ N 1.0)) 3) (pow (sqrt (log N)) 6)) (+ (pow (sqrt (log N)) 6) (- (pow (sqrt (log N)) 6))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) 0) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) 0) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) 0) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) 0) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) 0) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) 0) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) 0) (- (pow (log (+ N 1.0)) 3) (pow (sqrt (log N)) 6)) (+ (pow (sqrt (log N)) 6) (- (pow (sqrt (log N)) 6))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) 0) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) 0) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) 0) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) 0) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) 0) (- (pow (log (+ N 1.0)) 3) (pow (sqrt (log N)) 6)) (+ (pow (sqrt (log N)) 6) (- (pow (sqrt (log N)) 6))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) 0) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) 0) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) 0) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) 0) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) 0) (expm1 (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (log1p (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (- (pow (log N) 3)) (- (pow (log N) 3)) (- (pow (log N) 3)) (- (pow (log N) 3)) (- (pow (log N) 3)) (- (pow (log N) 3)) (- (pow (log N) 3)) (- (pow (log N) 3)) (- (pow (log N) 3)) (- (pow (log N) 3)) (- (pow (log N) 3)) (- (pow (log N) 3)) (- (pow (log N) 3)) (- (pow (log N) 3)) (exp (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (log (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (exp (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (* (cbrt (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (cbrt (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)))) (cbrt (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (pow (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) 3) (sqrt (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (sqrt (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (fma (+ (log N) (log (+ N 1.0))) (log N) (pow (cbrt (log (+ N 1.0))) 6)) (- (log (+ N 1.0)) (log N)) (- (pow (pow (log (+ N 1.0)) 3) 3) (pow (pow (log N) 3) 3)) (fma (pow (log N) 3) (+ (pow (log N) 3) (pow (log (+ N 1.0)) 3)) (pow (log (+ N 1.0)) 6)) (- (pow (log N) 3)) (- (pow (log (+ N 1.0)) 6) (pow (log N) 6)) (+ (pow (log N) 3) (pow (log (+ N 1.0)) 3)) (fma (sqrt (log N)) (log N) (pow (sqrt (log (+ N 1.0))) 3)) (- (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (fma (sqrt (log N)) (log N) (pow (sqrt (log (+ N 1.0))) 3)) (- (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (+ (pow (sqrt (log (+ N 1.0))) 3) (sqrt (pow (log N) 3))) (- (pow (sqrt (log (+ N 1.0))) 3) (sqrt (pow (log N) 3))) (+ (pow (log N) 3/2) (pow (sqrt (log (+ N 1.0))) 3)) (- (pow (sqrt (log (+ N 1.0))) 3) (pow (log N) 3/2)) (fma (sqrt (log N)) (log N) (pow (sqrt (log (+ N 1.0))) 3)) (- (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (fma (sqrt (log N)) (log N) (pow (sqrt (log (+ N 1.0))) 3)) (- (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (+ (pow (sqrt (log (+ N 1.0))) 3) (sqrt (pow (log N) 3))) (- (pow (sqrt (log (+ N 1.0))) 3) (sqrt (pow (log N) 3))) (+ (pow (log N) 3/2) (pow (sqrt (log (+ N 1.0))) 3)) (- (pow (sqrt (log (+ N 1.0))) 3) (pow (log N) 3/2)) (fma (sqrt (log N)) (log N) (sqrt (pow (log (+ N 1.0)) 3))) (- (sqrt (pow (log (+ N 1.0)) 3)) (pow (sqrt (log N)) 3)) (fma (sqrt (log N)) (log N) (sqrt (pow (log (+ N 1.0)) 3))) (- (sqrt (pow (log (+ N 1.0)) 3)) (pow (sqrt (log N)) 3)) (+ (sqrt (pow (log (+ N 1.0)) 3)) (sqrt (pow (log N) 3))) (- (sqrt (pow (log (+ N 1.0)) 3)) (sqrt (pow (log N) 3))) (+ (pow (log N) 3/2) (sqrt (pow (log (+ N 1.0)) 3))) (- (sqrt (pow (log (+ N 1.0)) 3)) (pow (log N) 3/2)) (+ (pow (log (+ N 1.0)) 3/2) (pow (sqrt (log N)) 3)) (- (pow (log (+ N 1.0)) 3/2) (pow (sqrt (log N)) 3)) (+ (pow (log (+ N 1.0)) 3/2) (pow (sqrt (log N)) 3)) (- (pow (log (+ N 1.0)) 3/2) (pow (sqrt (log N)) 3)) (+ (sqrt (pow (log N) 3)) (pow (log (+ N 1.0)) 3/2)) (- (pow (log (+ N 1.0)) 3/2) (sqrt (pow (log N) 3))) (+ (pow (log N) 3/2) (pow (log (+ N 1.0)) 3/2)) (- (pow (log (+ N 1.0)) 3/2) (pow (log N) 3/2)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log N) 3)) (- (fma 1.0 N (log 1.0)) (/ 1/2 (/ (pow 1.0 2) (pow N 2)))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (log N))) (- (- (+ (log -1) (/ 1.0 N)) (log (/ -1 N))) (/ (/ 0.5 N) N)) (- (fma 1.0 N (log 1.0)) (/ 1/2 (/ (pow 1.0 2) (pow N 2)))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (log N))) (- (- (+ (log -1) (/ 1.0 N)) (log (/ -1 N))) (/ (/ 0.5 N) N)) (- (fma 1.0 N (log 1.0)) (/ 1/2 (/ (pow 1.0 2) (pow N 2)))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (log N))) (- (- (+ (log -1) (/ 1.0 N)) (log (/ -1 N))) (/ (/ 0.5 N) N)) (- (fma 3.0 (fma (pow N 2) (log 1.0) (* (pow (log 1.0) 2) N)) (pow (log 1.0) 3)) (fma 3/2 (/ (pow (log 1.0) 2) (/ (pow 1.0 2) (pow N 2))) (pow (log N) 3))) (- (+ (fma 3.0 (/ (* (log N) (log N)) N) (/ 1.0 (pow N 3))) (fma 1.0 (/ (* (log N) (log N)) (pow N 3)) (/ (* 3.0 (- (log N))) (pow N 3)))) (fma 1.5 (/ (* (log N) (log N)) (pow N 2)) (/ (* (- (log N)) 3.0) (pow N 2)))) (- (+ (fma 3.0 (fma (/ (log (/ -1 N)) N) (/ (log -1) N) (/ (log (/ -1 N)) (pow N 3))) (fma (/ (log -1) (pow N 2)) 3.0 (/ (* (pow (log (/ -1 N)) 2) 1.0) (pow N 3)))) (+ (/ 1.0 (pow N 3)) (fma 3.0 (+ (/ (pow (log (/ -1 N)) 2) N) (/ (pow (log -1) 2) N)) (/ 1.0 (/ (pow N 3) (pow (log -1) 2)))))) (fma (/ (pow (log -1) 2) (pow N 2)) 1.5 (fma (/ (log -1) (pow N 3)) 3.0 (fma 6.0 (/ (log (/ -1 N)) (/ N (log -1))) (fma 3.0 (/ (log (/ -1 N)) (pow N 2)) (fma (* (/ (log (/ -1 N)) (pow N 3)) (log -1)) 2.0 (/ 1.5 (/ (pow N 2) (pow (log (/ -1 N)) 2))))))))) 5.938 * * * [progress]: adding candidates to table 6.662 * * [progress]: iteration 4 / 4 6.662 * * * [progress]: picking best candidate 6.671 * * * * [pick]: Picked # 6.671 * * * [progress]: localizing error 6.698 * * * [progress]: generating rewritten candidates 6.698 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1) 6.707 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 6.830 * * * [progress]: generating series expansions 6.830 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1) 6.830 * [backup-simplify]: Simplify (/ (/ 1 N) N) into (/ 1 (pow N 2)) 6.830 * [approximate]: Taking taylor expansion of (/ 1 (pow N 2)) in (N) around 0 6.830 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 6.830 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.830 * [taylor]: Taking taylor expansion of N in N 6.830 * [backup-simplify]: Simplify 0 into 0 6.830 * [backup-simplify]: Simplify 1 into 1 6.830 * [backup-simplify]: Simplify (* 1 1) into 1 6.831 * [backup-simplify]: Simplify (/ 1 1) into 1 6.831 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 6.831 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.831 * [taylor]: Taking taylor expansion of N in N 6.831 * [backup-simplify]: Simplify 0 into 0 6.831 * [backup-simplify]: Simplify 1 into 1 6.831 * [backup-simplify]: Simplify (* 1 1) into 1 6.831 * [backup-simplify]: Simplify (/ 1 1) into 1 6.831 * [backup-simplify]: Simplify 1 into 1 6.832 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.832 * [backup-simplify]: Simplify 0 into 0 6.833 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.833 * [backup-simplify]: Simplify 0 into 0 6.834 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.834 * [backup-simplify]: Simplify 0 into 0 6.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.836 * [backup-simplify]: Simplify 0 into 0 6.837 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.837 * [backup-simplify]: Simplify 0 into 0 6.839 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.839 * [backup-simplify]: Simplify 0 into 0 6.839 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 6.839 * [backup-simplify]: Simplify (/ (/ 1 (/ 1 N)) (/ 1 N)) into (pow N 2) 6.839 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 6.839 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.840 * [taylor]: Taking taylor expansion of N in N 6.840 * [backup-simplify]: Simplify 0 into 0 6.840 * [backup-simplify]: Simplify 1 into 1 6.840 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.840 * [taylor]: Taking taylor expansion of N in N 6.840 * [backup-simplify]: Simplify 0 into 0 6.840 * [backup-simplify]: Simplify 1 into 1 6.840 * [backup-simplify]: Simplify (* 1 1) into 1 6.840 * [backup-simplify]: Simplify 1 into 1 6.840 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.840 * [backup-simplify]: Simplify 0 into 0 6.841 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.841 * [backup-simplify]: Simplify 0 into 0 6.841 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.842 * [backup-simplify]: Simplify 0 into 0 6.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.842 * [backup-simplify]: Simplify 0 into 0 6.843 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.843 * [backup-simplify]: Simplify 0 into 0 6.844 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.844 * [backup-simplify]: Simplify 0 into 0 6.844 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 6.844 * [backup-simplify]: Simplify (/ (/ 1 (/ 1 (- N))) (/ 1 (- N))) into (pow N 2) 6.844 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 6.844 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.844 * [taylor]: Taking taylor expansion of N in N 6.844 * [backup-simplify]: Simplify 0 into 0 6.845 * [backup-simplify]: Simplify 1 into 1 6.845 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.845 * [taylor]: Taking taylor expansion of N in N 6.845 * [backup-simplify]: Simplify 0 into 0 6.845 * [backup-simplify]: Simplify 1 into 1 6.845 * [backup-simplify]: Simplify (* 1 1) into 1 6.845 * [backup-simplify]: Simplify 1 into 1 6.845 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.845 * [backup-simplify]: Simplify 0 into 0 6.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.846 * [backup-simplify]: Simplify 0 into 0 6.847 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.847 * [backup-simplify]: Simplify 0 into 0 6.847 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.847 * [backup-simplify]: Simplify 0 into 0 6.848 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.848 * [backup-simplify]: Simplify 0 into 0 6.849 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.849 * [backup-simplify]: Simplify 0 into 0 6.849 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (- N)) 2)) into (/ 1 (pow N 2)) 6.849 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 6.849 * [backup-simplify]: Simplify (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5)) into (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2)) 6.849 * [approximate]: Taking taylor expansion of (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2)) in (N) around 0 6.849 * [taylor]: Taking taylor expansion of (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2)) in N 6.849 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 6.850 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 6.850 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.850 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.850 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.850 * [taylor]: Taking taylor expansion of N in N 6.850 * [backup-simplify]: Simplify 0 into 0 6.850 * [backup-simplify]: Simplify 1 into 1 6.850 * [backup-simplify]: Simplify (/ 1 1) into 1 6.850 * [taylor]: Taking taylor expansion of 0.5 in N 6.850 * [backup-simplify]: Simplify 0.5 into 0.5 6.850 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.850 * [taylor]: Taking taylor expansion of N in N 6.850 * [backup-simplify]: Simplify 0 into 0 6.850 * [backup-simplify]: Simplify 1 into 1 6.850 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 6.851 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 6.851 * [backup-simplify]: Simplify (* 1 1) into 1 6.851 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 6.851 * [taylor]: Taking taylor expansion of (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2)) in N 6.851 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 6.851 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 6.851 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.851 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.851 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.851 * [taylor]: Taking taylor expansion of N in N 6.851 * [backup-simplify]: Simplify 0 into 0 6.851 * [backup-simplify]: Simplify 1 into 1 6.851 * [backup-simplify]: Simplify (/ 1 1) into 1 6.852 * [taylor]: Taking taylor expansion of 0.5 in N 6.852 * [backup-simplify]: Simplify 0.5 into 0.5 6.852 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.852 * [taylor]: Taking taylor expansion of N in N 6.852 * [backup-simplify]: Simplify 0 into 0 6.852 * [backup-simplify]: Simplify 1 into 1 6.852 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 6.852 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 6.852 * [backup-simplify]: Simplify (* 1 1) into 1 6.853 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 6.853 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.854 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 6.854 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.855 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 6.855 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.858 * [backup-simplify]: Simplify (- (/ (- 0.5) 1) (+ (* 0.3333333333333333 (/ 0 1)))) into (- 0.5) 6.858 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.860 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 6.861 * [backup-simplify]: Simplify (- 0) into 0 6.861 * [backup-simplify]: Simplify (+ 0 0) into 0 6.862 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.863 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)))) into 0 6.863 * [backup-simplify]: Simplify 0 into 0 6.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.865 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.865 * [backup-simplify]: Simplify (- 0) into 0 6.866 * [backup-simplify]: Simplify (+ 0 0) into 0 6.867 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.868 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.868 * [backup-simplify]: Simplify 0 into 0 6.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.871 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.871 * [backup-simplify]: Simplify (- 0) into 0 6.871 * [backup-simplify]: Simplify (+ 0 0) into 0 6.873 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.874 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.874 * [backup-simplify]: Simplify 0 into 0 6.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.877 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.878 * [backup-simplify]: Simplify (- 0) into 0 6.878 * [backup-simplify]: Simplify (+ 0 0) into 0 6.879 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.881 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.881 * [backup-simplify]: Simplify 0 into 0 6.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.884 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.884 * [backup-simplify]: Simplify (- 0) into 0 6.885 * [backup-simplify]: Simplify (+ 0 0) into 0 6.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.888 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.888 * [backup-simplify]: Simplify 0 into 0 6.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.891 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 6.891 * [backup-simplify]: Simplify (- 0) into 0 6.892 * [backup-simplify]: Simplify (+ 0 0) into 0 6.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 6.895 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.895 * [backup-simplify]: Simplify 0 into 0 6.896 * [backup-simplify]: Simplify (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 0.3333333333333333 (pow (/ 1 N) 3))) into (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) 6.896 * [backup-simplify]: Simplify (* (/ (/ 1 (/ 1 N)) (/ 1 N)) (- (/ 0.3333333333333333 (/ 1 N)) 0.5)) into (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) 6.896 * [approximate]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in (N) around 0 6.896 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in N 6.896 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.896 * [taylor]: Taking taylor expansion of N in N 6.896 * [backup-simplify]: Simplify 0 into 0 6.896 * [backup-simplify]: Simplify 1 into 1 6.896 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N 6.897 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 6.897 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.897 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.897 * [taylor]: Taking taylor expansion of N in N 6.897 * [backup-simplify]: Simplify 0 into 0 6.897 * [backup-simplify]: Simplify 1 into 1 6.897 * [taylor]: Taking taylor expansion of 0.5 in N 6.897 * [backup-simplify]: Simplify 0.5 into 0.5 6.897 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in N 6.897 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.897 * [taylor]: Taking taylor expansion of N in N 6.897 * [backup-simplify]: Simplify 0 into 0 6.897 * [backup-simplify]: Simplify 1 into 1 6.897 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N 6.897 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 6.897 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.897 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.897 * [taylor]: Taking taylor expansion of N in N 6.897 * [backup-simplify]: Simplify 0 into 0 6.897 * [backup-simplify]: Simplify 1 into 1 6.897 * [taylor]: Taking taylor expansion of 0.5 in N 6.897 * [backup-simplify]: Simplify 0.5 into 0.5 6.898 * [backup-simplify]: Simplify (* 1 1) into 1 6.898 * [backup-simplify]: Simplify (* 0.3333333333333333 0) into 0 6.899 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.900 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 6.901 * [backup-simplify]: Simplify (* 1 (- 0.5)) into -0.5 6.901 * [backup-simplify]: Simplify -0.5 into -0.5 6.902 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 1) (* 0 0)) into 0.3333333333333333 6.903 * [backup-simplify]: Simplify (- 0) into 0 6.903 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 6.904 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.906 * [backup-simplify]: Simplify (+ (* 1 0.3333333333333333) (* 0 (- 0.5))) into 0.3333333333333333 6.906 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.907 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 1) (* 0 0))) into 0 6.908 * [backup-simplify]: Simplify (- 0) into 0 6.908 * [backup-simplify]: Simplify (+ 0 0) into 0 6.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5)))) into 0 6.911 * [backup-simplify]: Simplify 0 into 0 6.912 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.912 * [backup-simplify]: Simplify (- 0) into 0 6.913 * [backup-simplify]: Simplify (+ 0 0) into 0 6.914 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.915 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5))))) into 0 6.915 * [backup-simplify]: Simplify 0 into 0 6.917 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 6.917 * [backup-simplify]: Simplify (- 0) into 0 6.918 * [backup-simplify]: Simplify (+ 0 0) into 0 6.919 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5)))))) into 0 6.921 * [backup-simplify]: Simplify 0 into 0 6.926 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 6.927 * [backup-simplify]: Simplify (- 0) into 0 6.927 * [backup-simplify]: Simplify (+ 0 0) into 0 6.929 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.931 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5))))))) into 0 6.931 * [backup-simplify]: Simplify 0 into 0 6.932 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 6.933 * [backup-simplify]: Simplify (- 0) into 0 6.933 * [backup-simplify]: Simplify (+ 0 0) into 0 6.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.936 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5)))))))) into 0 6.936 * [backup-simplify]: Simplify 0 into 0 6.938 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 6.939 * [backup-simplify]: Simplify (- 0) into 0 6.939 * [backup-simplify]: Simplify (+ 0 0) into 0 6.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 6.943 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5))))))))) into 0 6.943 * [backup-simplify]: Simplify 0 into 0 6.943 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (* -0.5 (pow (/ 1 N) 2))) into (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) 6.943 * [backup-simplify]: Simplify (* (/ (/ 1 (/ 1 (- N))) (/ 1 (- N))) (- (/ 0.3333333333333333 (/ 1 (- N))) 0.5)) into (* -1 (* (pow N 2) (+ (* 0.3333333333333333 N) 0.5))) 6.943 * [approximate]: Taking taylor expansion of (* -1 (* (pow N 2) (+ (* 0.3333333333333333 N) 0.5))) in (N) around 0 6.943 * [taylor]: Taking taylor expansion of (* -1 (* (pow N 2) (+ (* 0.3333333333333333 N) 0.5))) in N 6.943 * [taylor]: Taking taylor expansion of -1 in N 6.943 * [backup-simplify]: Simplify -1 into -1 6.943 * [taylor]: Taking taylor expansion of (* (pow N 2) (+ (* 0.3333333333333333 N) 0.5)) in N 6.943 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.943 * [taylor]: Taking taylor expansion of N in N 6.943 * [backup-simplify]: Simplify 0 into 0 6.943 * [backup-simplify]: Simplify 1 into 1 6.943 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 6.943 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 6.943 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.943 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.943 * [taylor]: Taking taylor expansion of N in N 6.943 * [backup-simplify]: Simplify 0 into 0 6.943 * [backup-simplify]: Simplify 1 into 1 6.943 * [taylor]: Taking taylor expansion of 0.5 in N 6.943 * [backup-simplify]: Simplify 0.5 into 0.5 6.944 * [taylor]: Taking taylor expansion of (* -1 (* (pow N 2) (+ (* 0.3333333333333333 N) 0.5))) in N 6.944 * [taylor]: Taking taylor expansion of -1 in N 6.944 * [backup-simplify]: Simplify -1 into -1 6.944 * [taylor]: Taking taylor expansion of (* (pow N 2) (+ (* 0.3333333333333333 N) 0.5)) in N 6.944 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.944 * [taylor]: Taking taylor expansion of N in N 6.944 * [backup-simplify]: Simplify 0 into 0 6.944 * [backup-simplify]: Simplify 1 into 1 6.944 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 6.944 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 6.944 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.944 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.944 * [taylor]: Taking taylor expansion of N in N 6.944 * [backup-simplify]: Simplify 0 into 0 6.944 * [backup-simplify]: Simplify 1 into 1 6.944 * [taylor]: Taking taylor expansion of 0.5 in N 6.944 * [backup-simplify]: Simplify 0.5 into 0.5 6.944 * [backup-simplify]: Simplify (* 1 1) into 1 6.944 * [backup-simplify]: Simplify (* 0.3333333333333333 0) into 0 6.945 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 6.945 * [backup-simplify]: Simplify (* 1 0.5) into 0.5 6.945 * [backup-simplify]: Simplify (* -1 0.5) into -0.5 6.945 * [backup-simplify]: Simplify -0.5 into -0.5 6.946 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 1) (* 0 0)) into 0.3333333333333333 6.946 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 6.947 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.948 * [backup-simplify]: Simplify (+ (* 1 0.3333333333333333) (* 0 0.5)) into 0.3333333333333333 6.949 * [backup-simplify]: Simplify (+ (* -1 0.3333333333333333) (* 0 0.5)) into (- 0.3333333333333333) 6.949 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 6.950 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 1) (* 0 0))) into 0 6.950 * [backup-simplify]: Simplify (+ 0 0) into 0 6.951 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.951 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0.3333333333333333) (* 0 0.5))) into 0 6.952 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0.3333333333333333) (* 0 0.5))) into 0 6.952 * [backup-simplify]: Simplify 0 into 0 6.953 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.953 * [backup-simplify]: Simplify (+ 0 0) into 0 6.954 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.954 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 0.5)))) into 0 6.955 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 0.5)))) into 0 6.955 * [backup-simplify]: Simplify 0 into 0 6.956 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 6.956 * [backup-simplify]: Simplify (+ 0 0) into 0 6.957 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.958 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 0.5))))) into 0 6.959 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 0.5))))) into 0 6.959 * [backup-simplify]: Simplify 0 into 0 6.960 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 6.960 * [backup-simplify]: Simplify (+ 0 0) into 0 6.961 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.962 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 0.5)))))) into 0 6.963 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 0.5)))))) into 0 6.963 * [backup-simplify]: Simplify 0 into 0 6.964 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 6.964 * [backup-simplify]: Simplify (+ 0 0) into 0 6.965 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.966 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 0.5))))))) into 0 6.967 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 0.5))))))) into 0 6.967 * [backup-simplify]: Simplify 0 into 0 6.968 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 6.968 * [backup-simplify]: Simplify (+ 0 0) into 0 6.969 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 6.971 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 0.5)))))))) into 0 6.974 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 0.5)))))))) into 0 6.974 * [backup-simplify]: Simplify 0 into 0 6.975 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 (- N)) 3)) (* -0.5 (pow (/ 1 (- N)) 2))) into (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) 6.975 * * * [progress]: simplifying candidates 6.981 * [simplify]: Simplifying: (expm1 (/ (/ 1 N) N)) (log1p (/ (/ 1 N) N)) (- -1 1) (- (- 1) 1) (- (- (log N)) (log N)) (- (- 0 (log N)) (log N)) (- (- (log 1) (log N)) (log N)) (- (log (/ 1 N)) (log N)) (log (/ (/ 1 N) N)) (exp (/ (/ 1 N) N)) (/ (/ (* (* 1 1) 1) (* (* N N) N)) (* (* N N) N)) (/ (* (* (/ 1 N) (/ 1 N)) (/ 1 N)) (* (* N N) N)) (* (cbrt (/ (/ 1 N) N)) (cbrt (/ (/ 1 N) N))) (cbrt (/ (/ 1 N) N)) (* (* (/ (/ 1 N) N) (/ (/ 1 N) N)) (/ (/ 1 N) N)) (sqrt (/ (/ 1 N) N)) (sqrt (/ (/ 1 N) N)) (- (/ 1 N)) (- N) (/ (* (cbrt (/ 1 N)) (cbrt (/ 1 N))) (* (cbrt N) (cbrt N))) (/ (cbrt (/ 1 N)) (cbrt N)) (/ (* (cbrt (/ 1 N)) (cbrt (/ 1 N))) (sqrt N)) (/ (cbrt (/ 1 N)) (sqrt N)) (/ (* (cbrt (/ 1 N)) (cbrt (/ 1 N))) 1) (/ (cbrt (/ 1 N)) N) (/ (sqrt (/ 1 N)) (* (cbrt N) (cbrt N))) (/ (sqrt (/ 1 N)) (cbrt N)) (/ (sqrt (/ 1 N)) (sqrt N)) (/ (sqrt (/ 1 N)) (sqrt N)) (/ (sqrt (/ 1 N)) 1) (/ (sqrt (/ 1 N)) N) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt N) (cbrt N))) (* (cbrt N) (cbrt N))) (/ (/ (cbrt 1) (cbrt N)) (cbrt N)) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt N) (cbrt N))) (sqrt N)) (/ (/ (cbrt 1) (cbrt N)) (sqrt N)) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt N) (cbrt N))) 1) (/ (/ (cbrt 1) (cbrt N)) N) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt N)) (* (cbrt N) (cbrt N))) (/ (/ (cbrt 1) (sqrt N)) (cbrt N)) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt N)) (sqrt N)) (/ (/ (cbrt 1) (sqrt 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N)) N) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ (sqrt 1) (sqrt N)) (cbrt N)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ (sqrt 1) (sqrt N)) (sqrt N)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ (sqrt 1) (sqrt N)) N) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ (sqrt 1) N) (cbrt N)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ (sqrt 1) N) (sqrt N)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ (sqrt 1) N) N) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ 1 (cbrt N)) (cbrt N)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ 1 (cbrt N)) (sqrt N)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ 1 (cbrt N)) N) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ 1 (sqrt N)) (cbrt N)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ 1 (sqrt N)) (sqrt N)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ 1 (sqrt N)) N) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ 1 N) (cbrt N)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ 1 N) (sqrt N)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ 1 N) (cbrt N)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ 1 N) (sqrt N)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ 1 N) (cbrt N)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ 1 N) (sqrt N)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 N) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ 1 N) N) (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3))) (* (/ (/ 1 N) N) (- (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (* 0.5 0.5))) (* (/ 1 N) (- (/ 0.3333333333333333 N) 0.5)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) 6.986 * * [simplify]: iteration 0: 399 enodes 7.160 * * [simplify]: iteration 1: 1195 enodes 7.634 * * [simplify]: iteration complete: 5001 enodes 7.634 * * [simplify]: Extracting #0: cost 114 inf + 0 7.637 * * [simplify]: Extracting #1: cost 1472 inf + 2 7.655 * * [simplify]: Extracting #2: cost 2176 inf + 311 7.668 * * [simplify]: Extracting #3: cost 1487 inf + 5651 7.683 * * [simplify]: Extracting #4: cost 563 inf + 15230 7.697 * * [simplify]: Extracting #5: cost 204 inf + 20730 7.710 * * [simplify]: Extracting #6: cost 25 inf + 23970 7.724 * * [simplify]: Extracting #7: cost 0 inf + 24356 7.745 * [simplify]: Simplified to: (expm1 (/ 1 (pow N 2))) (log1p (/ 1 (pow N 2))) -2 -2 (- (log (pow N 2))) (- (log (pow N 2))) (- (log (pow N 2))) (- (log (pow N 2))) (- (log (pow N 2))) (exp (/ 1 (pow N 2))) (/ 1 (pow N (* 2 3))) (/ (pow (/ 1 N) 3) (pow N 3)) (* (cbrt (/ 1 (pow N 2))) (cbrt (/ 1 (pow N 2)))) (cbrt (/ 1 (pow N 2))) (pow (/ 1 (pow N 2)) 3) (sqrt (/ 1 (pow N 2))) (sqrt (/ 1 (pow N 2))) (/ -1 N) (- N) (* (/ (cbrt (/ 1 N)) (cbrt N)) (/ (cbrt (/ 1 N)) (cbrt N))) (/ (cbrt (/ 1 N)) (cbrt N)) (/ (* (cbrt (/ 1 N)) (cbrt (/ 1 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(- (/ 0.3333333333333333 N) 0.5)) N) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) (cbrt N)) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) (sqrt N)) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N) (/ (* (- (/ 0.3333333333333333 N) 0.5) 1) (* (cbrt N) (cbrt N))) (/ (* (- (/ 0.3333333333333333 N) 0.5) (/ 1 (cbrt N))) (sqrt N)) (/ (* (/ 1 (cbrt N)) (- (/ 0.3333333333333333 N) 0.5)) N) (/ (* (/ 1 (sqrt N)) (- (/ 0.3333333333333333 N) 0.5)) (cbrt N)) (/ (- (/ 0.3333333333333333 N) 0.5) N) (/ (* (/ 1 (sqrt N)) (- (/ 0.3333333333333333 N) 0.5)) N) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) (cbrt N)) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) (sqrt N)) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) (cbrt N)) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) (sqrt N)) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) (cbrt N)) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) (sqrt N)) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N) (/ (- (/ 0.3333333333333333 N) 0.5) N) (* (/ 1 (pow N 2)) (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3))) (* (/ 1 (pow N 2)) (* (+ (/ 0.3333333333333333 N) 0.5) (- (/ 0.3333333333333333 N) 0.5))) (/ (- (/ 0.3333333333333333 N) 0.5) N) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (pow N 2))) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (pow N 2))) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (pow N 2))) 7.749 * * * [progress]: adding candidates to table 8.372 * [progress]: [Phase 3 of 3] Extracting. 8.372 * * [regime]: Finding splitpoints for: (# # # #) 8.375 * * * [regime-changes]: Trying 1 branch expressions: (N) 8.375 * * * * [regimes]: Trying to branch on N from (# # # #) 8.425 * * * [regime]: Found split indices: #