0.001 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.092 * * * [progress]: [2/2] Setting up program.
0.095 * [progress]: [Phase 2 of 3] Improving.
0.095 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (N) (- (log (+ N 1)) (log N)))>
0.095 * [simplify]: Simplifying (- (log (+ N 1)) (log N))
0.095 * * [simplify]: iteration 1: (6 enodes)
0.098 * * [simplify]: iteration 2: (23 enodes)
0.102 * * [simplify]: iteration 3: (28 enodes)
0.107 * * [simplify]: Extracting #0: cost 1 inf + 0
0.107 * * [simplify]: Extracting #1: cost 5 inf + 0
0.107 * * [simplify]: Extracting #2: cost 10 inf + 0
0.107 * * [simplify]: Extracting #3: cost 11 inf + 1
0.107 * * [simplify]: Extracting #4: cost 6 inf + 228
0.107 * * [simplify]: Extracting #5: cost 1 inf + 896
0.108 * * [simplify]: Extracting #6: cost 0 inf + 1118
0.108 * [simplify]: Simplified to (- (log (+ 1 N)) (log N))
0.111 * * [progress]: iteration 1 / 4
0.111 * * * [progress]: picking best candidate
0.113 * * * * [pick]: Picked  #<alt (λ (N) (- (log (+ N 1)) (log N)))>
0.113 * * * [progress]: localizing error
0.126 * * * [progress]: generating rewritten candidates
0.126 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.135 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.152 * * * [progress]: generating series expansions
0.152 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.152 * [backup-simplify]: Simplify (- (log (+ N 1)) (log N)) into (- (log (+ N 1)) (log N))
0.152 * [approximate]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in (N) around 0
0.152 * [taylor]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N
0.152 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N
0.152 * [taylor]: Taking taylor expansion of (+ N 1) in N
0.152 * [taylor]: Taking taylor expansion of N in N
0.152 * [backup-simplify]: Simplify 0 into 0
0.152 * [backup-simplify]: Simplify 1 into 1
0.152 * [taylor]: Taking taylor expansion of 1 in N
0.152 * [backup-simplify]: Simplify 1 into 1
0.153 * [backup-simplify]: Simplify (+ 0 1) into 1
0.153 * [backup-simplify]: Simplify (log 1) into 0
0.153 * [taylor]: Taking taylor expansion of (log N) in N
0.153 * [taylor]: Taking taylor expansion of N in N
0.153 * [backup-simplify]: Simplify 0 into 0
0.153 * [backup-simplify]: Simplify 1 into 1
0.153 * [backup-simplify]: Simplify (log 1) into 0
0.153 * [taylor]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N
0.153 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N
0.153 * [taylor]: Taking taylor expansion of (+ N 1) in N
0.153 * [taylor]: Taking taylor expansion of N in N
0.153 * [backup-simplify]: Simplify 0 into 0
0.153 * [backup-simplify]: Simplify 1 into 1
0.153 * [taylor]: Taking taylor expansion of 1 in N
0.153 * [backup-simplify]: Simplify 1 into 1
0.154 * [backup-simplify]: Simplify (+ 0 1) into 1
0.154 * [backup-simplify]: Simplify (log 1) into 0
0.154 * [taylor]: Taking taylor expansion of (log N) in N
0.154 * [taylor]: Taking taylor expansion of N in N
0.154 * [backup-simplify]: Simplify 0 into 0
0.154 * [backup-simplify]: Simplify 1 into 1
0.154 * [backup-simplify]: Simplify (log 1) into 0
0.155 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
0.155 * [backup-simplify]: Simplify (- (log N)) into (- (log N))
0.155 * [backup-simplify]: Simplify (+ 0 (- (log N))) into (- (log N))
0.155 * [backup-simplify]: Simplify (- (log N)) into (- (log N))
0.155 * [backup-simplify]: Simplify (+ 1 0) into 1
0.157 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
0.157 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
0.158 * [backup-simplify]: Simplify (- 0) into 0
0.158 * [backup-simplify]: Simplify (+ 1 0) into 1
0.158 * [backup-simplify]: Simplify 1 into 1
0.159 * [backup-simplify]: Simplify (+ 0 0) into 0
0.162 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2
0.165 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
0.166 * [backup-simplify]: Simplify (- 0) into 0
0.166 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2
0.166 * [backup-simplify]: Simplify -1/2 into -1/2
0.167 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2))))
0.167 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1)) (log (/ 1 N)))
0.167 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in (N) around 0
0.167 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N
0.167 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N
0.167 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
0.167 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.167 * [taylor]: Taking taylor expansion of N in N
0.167 * [backup-simplify]: Simplify 0 into 0
0.167 * [backup-simplify]: Simplify 1 into 1
0.167 * [backup-simplify]: Simplify (/ 1 1) into 1
0.167 * [taylor]: Taking taylor expansion of 1 in N
0.167 * [backup-simplify]: Simplify 1 into 1
0.168 * [backup-simplify]: Simplify (+ 1 0) into 1
0.168 * [backup-simplify]: Simplify (log 1) into 0
0.168 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
0.168 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.168 * [taylor]: Taking taylor expansion of N in N
0.168 * [backup-simplify]: Simplify 0 into 0
0.168 * [backup-simplify]: Simplify 1 into 1
0.169 * [backup-simplify]: Simplify (/ 1 1) into 1
0.169 * [backup-simplify]: Simplify (log 1) into 0
0.169 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N
0.169 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N
0.169 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
0.169 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.169 * [taylor]: Taking taylor expansion of N in N
0.169 * [backup-simplify]: Simplify 0 into 0
0.169 * [backup-simplify]: Simplify 1 into 1
0.170 * [backup-simplify]: Simplify (/ 1 1) into 1
0.170 * [taylor]: Taking taylor expansion of 1 in N
0.170 * [backup-simplify]: Simplify 1 into 1
0.170 * [backup-simplify]: Simplify (+ 1 0) into 1
0.171 * [backup-simplify]: Simplify (log 1) into 0
0.171 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
0.171 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.171 * [taylor]: Taking taylor expansion of N in N
0.171 * [backup-simplify]: Simplify 0 into 0
0.171 * [backup-simplify]: Simplify 1 into 1
0.171 * [backup-simplify]: Simplify (/ 1 1) into 1
0.172 * [backup-simplify]: Simplify (log 1) into 0
0.172 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
0.173 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
0.173 * [backup-simplify]: Simplify (- (- (log N))) into (log N)
0.173 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0
0.173 * [backup-simplify]: Simplify 0 into 0
0.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.174 * [backup-simplify]: Simplify (+ 0 1) into 1
0.176 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
0.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.178 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
0.178 * [backup-simplify]: Simplify (- 0) into 0
0.179 * [backup-simplify]: Simplify (+ 1 0) into 1
0.179 * [backup-simplify]: Simplify 1 into 1
0.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.180 * [backup-simplify]: Simplify (+ 0 0) into 0
0.183 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2
0.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.186 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
0.187 * [backup-simplify]: Simplify (- 0) into 0
0.187 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2
0.187 * [backup-simplify]: Simplify -1/2 into -1/2
0.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.188 * [backup-simplify]: Simplify (+ 0 0) into 0
0.191 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3
0.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.194 * [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
0.195 * [backup-simplify]: Simplify (- 0) into 0
0.195 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3
0.195 * [backup-simplify]: Simplify 1/3 into 1/3
0.196 * [backup-simplify]: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))
0.196 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1)) (log (/ 1 (- N)))) into (- (log (- 1 (/ 1 N))) (log (/ -1 N)))
0.196 * [approximate]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in (N) around 0
0.196 * [taylor]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N
0.196 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N
0.196 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
0.196 * [taylor]: Taking taylor expansion of 1 in N
0.196 * [backup-simplify]: Simplify 1 into 1
0.196 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.196 * [taylor]: Taking taylor expansion of N in N
0.196 * [backup-simplify]: Simplify 0 into 0
0.196 * [backup-simplify]: Simplify 1 into 1
0.196 * [backup-simplify]: Simplify (/ 1 1) into 1
0.197 * [backup-simplify]: Simplify (- 1) into -1
0.197 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.197 * [backup-simplify]: Simplify (log -1) into (log -1)
0.197 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N
0.197 * [taylor]: Taking taylor expansion of (/ -1 N) in N
0.197 * [taylor]: Taking taylor expansion of -1 in N
0.198 * [backup-simplify]: Simplify -1 into -1
0.198 * [taylor]: Taking taylor expansion of N in N
0.198 * [backup-simplify]: Simplify 0 into 0
0.198 * [backup-simplify]: Simplify 1 into 1
0.198 * [backup-simplify]: Simplify (/ -1 1) into -1
0.198 * [backup-simplify]: Simplify (log -1) into (log -1)
0.198 * [taylor]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N
0.198 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N
0.198 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
0.198 * [taylor]: Taking taylor expansion of 1 in N
0.198 * [backup-simplify]: Simplify 1 into 1
0.198 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.198 * [taylor]: Taking taylor expansion of N in N
0.198 * [backup-simplify]: Simplify 0 into 0
0.198 * [backup-simplify]: Simplify 1 into 1
0.199 * [backup-simplify]: Simplify (/ 1 1) into 1
0.199 * [backup-simplify]: Simplify (- 1) into -1
0.199 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.199 * [backup-simplify]: Simplify (log -1) into (log -1)
0.199 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N
0.199 * [taylor]: Taking taylor expansion of (/ -1 N) in N
0.199 * [taylor]: Taking taylor expansion of -1 in N
0.199 * [backup-simplify]: Simplify -1 into -1
0.199 * [taylor]: Taking taylor expansion of N in N
0.200 * [backup-simplify]: Simplify 0 into 0
0.200 * [backup-simplify]: Simplify 1 into 1
0.200 * [backup-simplify]: Simplify (/ -1 1) into -1
0.200 * [backup-simplify]: Simplify (log -1) into (log -1)
0.201 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
0.201 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
0.202 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1))
0.202 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0
0.202 * [backup-simplify]: Simplify 0 into 0
0.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.203 * [backup-simplify]: Simplify (- 0) into 0
0.203 * [backup-simplify]: Simplify (+ 1 0) into 1
0.204 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1
0.204 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.205 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
0.206 * [backup-simplify]: Simplify (- 0) into 0
0.206 * [backup-simplify]: Simplify (+ -1 0) into -1
0.206 * [backup-simplify]: Simplify -1 into -1
0.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.207 * [backup-simplify]: Simplify (- 0) into 0
0.207 * [backup-simplify]: Simplify (+ 0 0) into 0
0.208 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2
0.209 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.210 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0
0.211 * [backup-simplify]: Simplify (- 0) into 0
0.211 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2
0.211 * [backup-simplify]: Simplify -1/2 into -1/2
0.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.212 * [backup-simplify]: Simplify (- 0) into 0
0.212 * [backup-simplify]: Simplify (+ 0 0) into 0
0.215 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -1/3
0.216 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.219 * [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
0.219 * [backup-simplify]: Simplify (- 0) into 0
0.219 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3
0.220 * [backup-simplify]: Simplify -1/3 into -1/3
0.220 * [backup-simplify]: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))
0.220 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.220 * [backup-simplify]: Simplify (log (+ N 1)) into (log (+ N 1))
0.220 * [approximate]: Taking taylor expansion of (log (+ N 1)) in (N) around 0
0.220 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N
0.220 * [taylor]: Taking taylor expansion of (+ N 1) in N
0.220 * [taylor]: Taking taylor expansion of N in N
0.220 * [backup-simplify]: Simplify 0 into 0
0.220 * [backup-simplify]: Simplify 1 into 1
0.220 * [taylor]: Taking taylor expansion of 1 in N
0.220 * [backup-simplify]: Simplify 1 into 1
0.220 * [backup-simplify]: Simplify (+ 0 1) into 1
0.221 * [backup-simplify]: Simplify (log 1) into 0
0.221 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N
0.221 * [taylor]: Taking taylor expansion of (+ N 1) in N
0.221 * [taylor]: Taking taylor expansion of N in N
0.221 * [backup-simplify]: Simplify 0 into 0
0.221 * [backup-simplify]: Simplify 1 into 1
0.221 * [taylor]: Taking taylor expansion of 1 in N
0.221 * [backup-simplify]: Simplify 1 into 1
0.221 * [backup-simplify]: Simplify (+ 0 1) into 1
0.221 * [backup-simplify]: Simplify (log 1) into 0
0.221 * [backup-simplify]: Simplify 0 into 0
0.222 * [backup-simplify]: Simplify (+ 1 0) into 1
0.222 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
0.222 * [backup-simplify]: Simplify 1 into 1
0.223 * [backup-simplify]: Simplify (+ 0 0) into 0
0.224 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2
0.224 * [backup-simplify]: Simplify -1/2 into -1/2
0.224 * [backup-simplify]: Simplify (+ 0 0) into 0
0.227 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3
0.227 * [backup-simplify]: Simplify 1/3 into 1/3
0.227 * [backup-simplify]: Simplify (+ (* 1/3 (pow N 3)) (+ (* -1/2 (pow N 2)) (* 1 N))) into (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2)))
0.227 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1)) into (log (+ (/ 1 N) 1))
0.227 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0
0.227 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N
0.227 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
0.227 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.227 * [taylor]: Taking taylor expansion of N in N
0.227 * [backup-simplify]: Simplify 0 into 0
0.227 * [backup-simplify]: Simplify 1 into 1
0.228 * [backup-simplify]: Simplify (/ 1 1) into 1
0.228 * [taylor]: Taking taylor expansion of 1 in N
0.228 * [backup-simplify]: Simplify 1 into 1
0.228 * [backup-simplify]: Simplify (+ 1 0) into 1
0.228 * [backup-simplify]: Simplify (log 1) into 0
0.228 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N
0.228 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
0.228 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.228 * [taylor]: Taking taylor expansion of N in N
0.228 * [backup-simplify]: Simplify 0 into 0
0.228 * [backup-simplify]: Simplify 1 into 1
0.229 * [backup-simplify]: Simplify (/ 1 1) into 1
0.229 * [taylor]: Taking taylor expansion of 1 in N
0.229 * [backup-simplify]: Simplify 1 into 1
0.229 * [backup-simplify]: Simplify (+ 1 0) into 1
0.229 * [backup-simplify]: Simplify (log 1) into 0
0.229 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
0.229 * [backup-simplify]: Simplify (- (log N)) into (- (log N))
0.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.230 * [backup-simplify]: Simplify (+ 0 1) into 1
0.231 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
0.231 * [backup-simplify]: Simplify 1 into 1
0.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.232 * [backup-simplify]: Simplify (+ 0 0) into 0
0.233 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2
0.233 * [backup-simplify]: Simplify -1/2 into -1/2
0.233 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 N) 2)) (+ (* 1 (/ 1 N)) (- (log (/ 1 N))))) into (- (/ 1 N) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ 1 N))))
0.233 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1)) into (log (- 1 (/ 1 N)))
0.233 * [approximate]: Taking taylor expansion of (log (- 1 (/ 1 N))) in (N) around 0
0.233 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N
0.233 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
0.234 * [taylor]: Taking taylor expansion of 1 in N
0.234 * [backup-simplify]: Simplify 1 into 1
0.234 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.234 * [taylor]: Taking taylor expansion of N in N
0.234 * [backup-simplify]: Simplify 0 into 0
0.234 * [backup-simplify]: Simplify 1 into 1
0.234 * [backup-simplify]: Simplify (/ 1 1) into 1
0.234 * [backup-simplify]: Simplify (- 1) into -1
0.234 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.235 * [backup-simplify]: Simplify (log -1) into (log -1)
0.235 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N
0.235 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
0.235 * [taylor]: Taking taylor expansion of 1 in N
0.235 * [backup-simplify]: Simplify 1 into 1
0.235 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.235 * [taylor]: Taking taylor expansion of N in N
0.235 * [backup-simplify]: Simplify 0 into 0
0.235 * [backup-simplify]: Simplify 1 into 1
0.235 * [backup-simplify]: Simplify (/ 1 1) into 1
0.235 * [backup-simplify]: Simplify (- 1) into -1
0.235 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.236 * [backup-simplify]: Simplify (log -1) into (log -1)
0.236 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
0.237 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N))
0.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.238 * [backup-simplify]: Simplify (- 0) into 0
0.238 * [backup-simplify]: Simplify (+ 1 0) into 1
0.239 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1
0.239 * [backup-simplify]: Simplify -1 into -1
0.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.241 * [backup-simplify]: Simplify (- 0) into 0
0.241 * [backup-simplify]: Simplify (+ 0 0) into 0
0.244 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2
0.244 * [backup-simplify]: Simplify -1/2 into -1/2
0.244 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 (- N)) 2)) (+ (* -1 (/ 1 (- N))) (- (log -1) (log (/ 1 (- N)))))) into (- (+ (/ 1 N) (log -1)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N))))
0.244 * * * [progress]: simplifying candidates
0.244 * * * * [progress]: [ 1 / 49 ] simplifiying candidate #<alt (λ (N) (log (/ (+ N 1) N)))>
0.245 * * * * [progress]: [ 2 / 49 ] simplifiying candidate #<alt (λ (N) (pow (- (log (+ N 1)) (log N)) 1))>
0.245 * * * * [progress]: [ 3 / 49 ] simplifiying candidate #<alt (λ (N) (exp (log (- (log (+ N 1)) (log N)))))>
0.245 * * * * [progress]: [ 4 / 49 ] simplifiying candidate #<alt (λ (N) (log (exp (- (log (+ N 1)) (log N)))))>
0.245 * * * * [progress]: [ 5 / 49 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (- (log (+ N 1)) (log N))) (cbrt (- (log (+ N 1)) (log N)))) (cbrt (- (log (+ N 1)) (log N)))))>
0.245 * * * * [progress]: [ 6 / 49 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N))) (- (log (+ N 1)) (log N)))))>
0.245 * * * * [progress]: [ 7 / 49 ] simplifiying candidate #<alt (λ (N) (* (sqrt (- (log (+ N 1)) (log N))) (sqrt (- (log (+ N 1)) (log N)))))>
0.245 * * * * [progress]: [ 8 / 49 ] simplifiying candidate #<alt (λ (N) (/ (- (pow (log (+ N 1)) 3) (pow (log N) 3)) (+ (* (log (+ N 1)) (log (+ N 1))) (+ (* (log N) (log N)) (* (log (+ N 1)) (log N))))))>
0.245 * * * * [progress]: [ 9 / 49 ] simplifiying candidate #<alt (λ (N) (+ (log (+ N 1)) (- (log N))))>
0.245 * * * * [progress]: [ 10 / 49 ] simplifiying candidate #<alt (λ (N) (* 1 (- (log (+ N 1)) (log N))))>
0.245 * * * * [progress]: [ 11 / 49 ] simplifiying candidate #<alt (λ (N) (/ (- (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log N))) (+ (log (+ N 1)) (log N))))>
0.245 * * * * [progress]: [ 12 / 49 ] simplifiying candidate #<alt (λ (N) (* (+ (sqrt (log (+ N 1))) (sqrt (log N))) (- (sqrt (log (+ N 1))) (sqrt (log N)))))>
0.245 * * * * [progress]: [ 13 / 49 ] simplifiying candidate #<alt (λ (N) (* 1 (- (log (+ N 1)) (log N))))>
0.245 * * * * [progress]: [ 14 / 49 ] simplifiying candidate #<alt (λ (N) (* 1 (- (log (+ N 1)) (log N))))>
0.245 * * * * [progress]: [ 15 / 49 ] simplifiying candidate #<alt (λ (N) (* 1 (- (log (+ N 1)) (log N))))>
0.245 * * * * [progress]: [ 16 / 49 ] simplifiying candidate #<alt (λ (N) (* 1 (- (log (+ N 1)) (log N))))>
0.245 * * * * [progress]: [ 17 / 49 ] simplifiying candidate #<alt (λ (N) (- (- (log (+ N 1)) (log (* (cbrt N) (cbrt N)))) (log (cbrt N))))>
0.245 * * * * [progress]: [ 18 / 49 ] simplifiying candidate #<alt (λ (N) (- (- (log (+ N 1)) (log (sqrt N))) (log (sqrt N))))>
0.245 * * * * [progress]: [ 19 / 49 ] simplifiying candidate #<alt (λ (N) (- (- (log (+ N 1)) (log 1)) (log N)))>
0.245 * * * * [progress]: [ 20 / 49 ] simplifiying candidate #<alt (λ (N) (+ (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (- (log (cbrt (+ N 1))) (log N))))>
0.246 * * * * [progress]: [ 21 / 49 ] simplifiying candidate #<alt (λ (N) (+ (log (sqrt (+ N 1))) (- (log (sqrt (+ N 1))) (log N))))>
0.246 * * * * [progress]: [ 22 / 49 ] simplifiying candidate #<alt (λ (N) (+ (log 1) (- (log (+ N 1)) (log N))))>
0.246 * * * * [progress]: [ 23 / 49 ] simplifiying candidate #<alt (λ (N) (+ (log 1) (- (log (+ N 1)) (log N))))>
0.246 * * * * [progress]: [ 24 / 49 ] simplifiying candidate #<alt (λ (N) (- (log (+ (pow N 3) (pow 1 3))) (+ (log (+ (* N N) (- (* 1 1) (* N 1)))) (log N))))>
0.246 * * * * [progress]: [ 25 / 49 ] simplifiying candidate #<alt (λ (N) (- (log (- (* N N) (* 1 1))) (+ (log (- N 1)) (log N))))>
0.246 * * * * [progress]: [ 26 / 49 ] simplifiying candidate #<alt (λ (N) (+ (log (+ N 1)) (- (log N))))>
0.246 * * * * [progress]: [ 27 / 49 ] simplifiying candidate #<alt (λ (N) (posit16->real (real->posit16 (- (log (+ N 1)) (log N)))))>
0.246 * * * * [progress]: [ 28 / 49 ] simplifiying candidate #<alt (λ (N) (- (+ (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (log (cbrt (+ N 1)))) (log N)))>
0.246 * * * * [progress]: [ 29 / 49 ] simplifiying candidate #<alt (λ (N) (- (+ (log (sqrt (+ N 1))) (log (sqrt (+ N 1)))) (log N)))>
0.246 * * * * [progress]: [ 30 / 49 ] simplifiying candidate #<alt (λ (N) (- (+ (log 1) (log (+ N 1))) (log N)))>
0.246 * * * * [progress]: [ 31 / 49 ] simplifiying candidate #<alt (λ (N) (- (+ (log 1) (log (+ N 1))) (log N)))>
0.246 * * * * [progress]: [ 32 / 49 ] simplifiying candidate #<alt (λ (N) (- (- (log (+ (pow N 3) (pow 1 3))) (log (+ (* N N) (- (* 1 1) (* N 1))))) (log N)))>
0.246 * * * * [progress]: [ 33 / 49 ] simplifiying candidate #<alt (λ (N) (- (- (log (- (* N N) (* 1 1))) (log (- N 1))) (log N)))>
0.246 * * * * [progress]: [ 34 / 49 ] simplifiying candidate #<alt (λ (N) (- (* 1 (log (+ N 1))) (log N)))>
0.246 * * * * [progress]: [ 35 / 49 ] simplifiying candidate #<alt (λ (N) (- (pow (log (+ N 1)) 1) (log N)))>
0.246 * * * * [progress]: [ 36 / 49 ] simplifiying candidate #<alt (λ (N) (- (log (+ N 1)) (log N)))>
0.246 * * * * [progress]: [ 37 / 49 ] simplifiying candidate #<alt (λ (N) (- (exp (log (log (+ N 1)))) (log N)))>
0.246 * * * * [progress]: [ 38 / 49 ] simplifiying candidate #<alt (λ (N) (- (log (exp (log (+ N 1)))) (log N)))>
0.246 * * * * [progress]: [ 39 / 49 ] simplifiying candidate #<alt (λ (N) (- (* (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) (cbrt (log (+ N 1)))) (log N)))>
0.246 * * * * [progress]: [ 40 / 49 ] simplifiying candidate #<alt (λ (N) (- (cbrt (* (* (log (+ N 1)) (log (+ N 1))) (log (+ N 1)))) (log N)))>
0.247 * * * * [progress]: [ 41 / 49 ] simplifiying candidate #<alt (λ (N) (- (* (sqrt (log (+ N 1))) (sqrt (log (+ N 1)))) (log N)))>
0.247 * * * * [progress]: [ 42 / 49 ] simplifiying candidate #<alt (λ (N) (- (* 1 (log (+ N 1))) (log N)))>
0.247 * * * * [progress]: [ 43 / 49 ] simplifiying candidate #<alt (λ (N) (- (posit16->real (real->posit16 (log (+ N 1)))) (log N)))>
0.247 * * * * [progress]: [ 44 / 49 ] simplifiying candidate #<alt (λ (N) (- N (+ (log N) (* 1/2 (pow N 2)))))>
0.247 * * * * [progress]: [ 45 / 49 ] simplifiying candidate #<alt (λ (N) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))))>
0.247 * * * * [progress]: [ 46 / 49 ] simplifiying candidate #<alt (λ (N) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))))>
0.247 * * * * [progress]: [ 47 / 49 ] simplifiying candidate #<alt (λ (N) (- (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) (log N)))>
0.247 * * * * [progress]: [ 48 / 49 ] simplifiying candidate #<alt (λ (N) (- (- (/ 1 N) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ 1 N)))) (log N)))>
0.247 * * * * [progress]: [ 49 / 49 ] simplifiying candidate #<alt (λ (N) (- (- (+ (/ 1 N) (log -1)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))) (log N)))>
0.248 * [simplify]: Simplifying (/ (+ N 1) N), (log (- (log (+ N 1)) (log N))), (exp (- (log (+ N 1)) (log N))), (* (cbrt (- (log (+ N 1)) (log N))) (cbrt (- (log (+ N 1)) (log N)))), (cbrt (- (log (+ N 1)) (log N))), (* (* (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N))) (- (log (+ N 1)) (log N))), (sqrt (- (log (+ N 1)) (log N))), (sqrt (- (log (+ N 1)) (log N))), (- (pow (log (+ N 1)) 3) (pow (log N) 3)), (+ (* (log (+ N 1)) (log (+ N 1))) (+ (* (log N) (log N)) (* (log (+ N 1)) (log N)))), (- (log N)), (- (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log N))), (+ (log (+ N 1)) (log N)), (+ (sqrt (log (+ N 1))) (sqrt (log N))), (- (sqrt (log (+ N 1))) (sqrt (log N))), (- (log (+ N 1)) (log N)), (- (log (+ N 1)) (log N)), (- (log (+ N 1)) (log N)), (- (log (+ N 1)) (log N)), (- (log (+ N 1)) (log (* (cbrt N) (cbrt N)))), (- (log (+ N 1)) (log (sqrt N))), (- (log (+ N 1)) (log 1)), (- (log (cbrt (+ N 1))) (log N)), (- (log (sqrt (+ N 1))) (log N)), (- (log (+ N 1)) (log N)), (- (log (+ N 1)) (log N)), (+ (log (+ (* N N) (- (* 1 1) (* N 1)))) (log N)), (+ (log (- N 1)) (log N)), (- (log N)), (real->posit16 (- (log (+ N 1)) (log N))), (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))), (log (cbrt (+ N 1))), (log (sqrt (+ N 1))), (log (sqrt (+ N 1))), (log 1), (log (+ N 1)), (log 1), (log (+ N 1)), (log (+ (pow N 3) (pow 1 3))), (log (+ (* N N) (- (* 1 1) (* N 1)))), (log (- (* N N) (* 1 1))), (log (- N 1)), (log (+ N 1)), (log (log (+ N 1))), (exp (log (+ N 1))), (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))), (cbrt (log (+ N 1))), (* (* (log (+ N 1)) (log (+ N 1))) (log (+ N 1))), (sqrt (log (+ N 1))), (sqrt (log (+ N 1))), (real->posit16 (log (+ N 1))), (- N (+ (log N) (* 1/2 (pow N 2)))), (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))), (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))), (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))), (- (/ 1 N) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ 1 N)))), (- (+ (/ 1 N) (log -1)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N))))
0.249 * * [simplify]: iteration 1: (97 enodes)
0.298 * * [simplify]: iteration 2: (369 enodes)
0.393 * * [simplify]: iteration 3: (631 enodes)
0.602 * * [simplify]: iteration 4: (1174 enodes)
1.676 * * [simplify]: Extracting #0: cost 41 inf + 0
1.677 * * [simplify]: Extracting #1: cost 228 inf + 1
1.680 * * [simplify]: Extracting #2: cost 496 inf + 3666
1.688 * * [simplify]: Extracting #3: cost 442 inf + 23009
1.713 * * [simplify]: Extracting #4: cost 156 inf + 93517
1.754 * * [simplify]: Extracting #5: cost 10 inf + 139110
1.796 * * [simplify]: Extracting #6: cost 0 inf + 141957
1.820 * [simplify]: Simplified to (/ (+ 1 N) N), (log (- (log (+ 1 N)) (log N))), (/ (+ 1 N) N), (* (cbrt (- (log (+ 1 N)) (log N))) (cbrt (- (log (+ 1 N)) (log N)))), (cbrt (- (log (+ 1 N)) (log N))), (* (* (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N))) (- (log (+ 1 N)) (log N))), (sqrt (- (log (+ 1 N)) (log N))), (sqrt (- (log (+ 1 N)) (log N))), (- (* (log (+ 1 N)) (* (log (+ 1 N)) (log (+ 1 N)))) (* (log N) (* (log N) (log N)))), (+ (* (log N) (+ (log (+ 1 N)) (log N))) (* (log (+ 1 N)) (log (+ 1 N)))), (- (log N)), (- (* (log (+ 1 N)) (log (+ 1 N))) (* (log N) (log N))), (+ (log (+ 1 N)) (log N)), (+ (sqrt (log N)) (sqrt (log (+ 1 N)))), (- (sqrt (log (+ 1 N))) (sqrt (log N))), (- (log (+ 1 N)) (log N)), (- (log (+ 1 N)) (log N)), (- (log (+ 1 N)) (log N)), (- (log (+ 1 N)) (log N)), (- (log (+ 1 N)) (log (* (cbrt N) (cbrt N)))), (- (log (+ 1 N)) (log (sqrt N))), (log (+ 1 N)), (- (log (cbrt (+ 1 N))) (log N)), (- (log (sqrt (+ 1 N))) (log N)), (- (log (+ 1 N)) (log N)), (- (log (+ 1 N)) (log N)), (+ (log (- 1 (- N (* N N)))) (log N)), (+ (log N) (log (- N 1))), (- (log N)), (real->posit16 (- (log (+ 1 N)) (log N))), (+ (log (cbrt (+ 1 N))) (log (cbrt (+ 1 N)))), (log (cbrt (+ 1 N))), (log (sqrt (+ 1 N))), (log (sqrt (+ 1 N))), 0, (log (+ 1 N)), 0, (log (+ 1 N)), (log (+ 1 (* N (* N N)))), (log (- 1 (- N (* N N)))), (log (- (* N N) 1)), (log (- N 1)), (log (+ 1 N)), (log (log (+ 1 N))), (+ 1 N), (* (cbrt (log (+ 1 N))) (cbrt (log (+ 1 N)))), (cbrt (log (+ 1 N))), (* (log (+ 1 N)) (* (log (+ 1 N)) (log (+ 1 N)))), (sqrt (log (+ 1 N))), (sqrt (log (+ 1 N))), (real->posit16 (log (+ 1 N))), (- (- N (log N)) (* (* N N) 1/2)), (+ (/ 1/3 (* N (* N N))) (- (/ 1 N) (/ 1/2 (* N N)))), (+ (/ 1/3 (* N (* N N))) (- (/ 1 N) (/ 1/2 (* N N)))), (+ (* N (* N (+ (* N 1/3) -1/2))) N), (- (+ (/ 1 N) (log N)) (/ 1/2 (* N N))), (- (+ (/ 1 N) (log N)) (/ 1/2 (* N N)))
1.822 * * * [progress]: adding candidates to table
2.217 * * [progress]: iteration 2 / 4
2.217 * * * [progress]: picking best candidate
2.227 * * * * [pick]: Picked  #<alt (λ (N) (log (/ (+ N 1) N)))>
2.228 * * * [progress]: localizing error
2.243 * * * [progress]: generating rewritten candidates
2.243 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
2.252 * * * [progress]: generating series expansions
2.252 * * * * [progress]: [ 1 / 1 ] generating series at (2)
2.252 * [backup-simplify]: Simplify (log (/ (+ N 1) N)) into (log (/ (+ N 1) N))
2.252 * [approximate]: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0
2.252 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N
2.252 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N
2.252 * [taylor]: Taking taylor expansion of (+ N 1) in N
2.252 * [taylor]: Taking taylor expansion of N in N
2.252 * [backup-simplify]: Simplify 0 into 0
2.252 * [backup-simplify]: Simplify 1 into 1
2.252 * [taylor]: Taking taylor expansion of 1 in N
2.252 * [backup-simplify]: Simplify 1 into 1
2.252 * [taylor]: Taking taylor expansion of N in N
2.252 * [backup-simplify]: Simplify 0 into 0
2.252 * [backup-simplify]: Simplify 1 into 1
2.253 * [backup-simplify]: Simplify (+ 0 1) into 1
2.254 * [backup-simplify]: Simplify (/ 1 1) into 1
2.254 * [backup-simplify]: Simplify (log 1) into 0
2.254 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N
2.254 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N
2.254 * [taylor]: Taking taylor expansion of (+ N 1) in N
2.254 * [taylor]: Taking taylor expansion of N in N
2.254 * [backup-simplify]: Simplify 0 into 0
2.254 * [backup-simplify]: Simplify 1 into 1
2.254 * [taylor]: Taking taylor expansion of 1 in N
2.254 * [backup-simplify]: Simplify 1 into 1
2.254 * [taylor]: Taking taylor expansion of N in N
2.254 * [backup-simplify]: Simplify 0 into 0
2.254 * [backup-simplify]: Simplify 1 into 1
2.255 * [backup-simplify]: Simplify (+ 0 1) into 1
2.255 * [backup-simplify]: Simplify (/ 1 1) into 1
2.256 * [backup-simplify]: Simplify (log 1) into 0
2.256 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
2.256 * [backup-simplify]: Simplify (- (log N)) into (- (log N))
2.257 * [backup-simplify]: Simplify (+ 1 0) into 1
2.258 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1
2.259 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
2.259 * [backup-simplify]: Simplify 1 into 1
2.260 * [backup-simplify]: Simplify (+ 0 0) into 0
2.260 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0
2.263 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2
2.263 * [backup-simplify]: Simplify -1/2 into -1/2
2.264 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2))))
2.264 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1) (/ 1 N))) into (log (* N (+ (/ 1 N) 1)))
2.264 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0
2.264 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N
2.264 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N
2.264 * [taylor]: Taking taylor expansion of N in N
2.264 * [backup-simplify]: Simplify 0 into 0
2.264 * [backup-simplify]: Simplify 1 into 1
2.264 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
2.264 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.264 * [taylor]: Taking taylor expansion of N in N
2.264 * [backup-simplify]: Simplify 0 into 0
2.264 * [backup-simplify]: Simplify 1 into 1
2.265 * [backup-simplify]: Simplify (/ 1 1) into 1
2.265 * [taylor]: Taking taylor expansion of 1 in N
2.265 * [backup-simplify]: Simplify 1 into 1
2.265 * [backup-simplify]: Simplify (+ 1 0) into 1
2.266 * [backup-simplify]: Simplify (* 0 1) into 0
2.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.267 * [backup-simplify]: Simplify (+ 0 1) into 1
2.267 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1
2.268 * [backup-simplify]: Simplify (log 1) into 0
2.268 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N
2.268 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N
2.268 * [taylor]: Taking taylor expansion of N in N
2.268 * [backup-simplify]: Simplify 0 into 0
2.268 * [backup-simplify]: Simplify 1 into 1
2.268 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
2.268 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.268 * [taylor]: Taking taylor expansion of N in N
2.268 * [backup-simplify]: Simplify 0 into 0
2.268 * [backup-simplify]: Simplify 1 into 1
2.268 * [backup-simplify]: Simplify (/ 1 1) into 1
2.268 * [taylor]: Taking taylor expansion of 1 in N
2.268 * [backup-simplify]: Simplify 1 into 1
2.269 * [backup-simplify]: Simplify (+ 1 0) into 1
2.269 * [backup-simplify]: Simplify (* 0 1) into 0
2.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.271 * [backup-simplify]: Simplify (+ 0 1) into 1
2.271 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1
2.272 * [backup-simplify]: Simplify (log 1) into 0
2.272 * [backup-simplify]: Simplify 0 into 0
2.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.273 * [backup-simplify]: Simplify (+ 0 0) into 0
2.274 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1
2.275 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
2.275 * [backup-simplify]: Simplify 1 into 1
2.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.277 * [backup-simplify]: Simplify (+ 0 0) into 0
2.279 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0
2.282 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2
2.282 * [backup-simplify]: Simplify -1/2 into -1/2
2.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.284 * [backup-simplify]: Simplify (+ 0 0) into 0
2.285 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0
2.290 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3
2.290 * [backup-simplify]: Simplify 1/3 into 1/3
2.291 * [backup-simplify]: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))
2.291 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N)))))
2.291 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0
2.291 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N
2.291 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N
2.291 * [taylor]: Taking taylor expansion of -1 in N
2.291 * [backup-simplify]: Simplify -1 into -1
2.291 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N
2.291 * [taylor]: Taking taylor expansion of N in N
2.291 * [backup-simplify]: Simplify 0 into 0
2.291 * [backup-simplify]: Simplify 1 into 1
2.291 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
2.291 * [taylor]: Taking taylor expansion of 1 in N
2.291 * [backup-simplify]: Simplify 1 into 1
2.291 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.291 * [taylor]: Taking taylor expansion of N in N
2.291 * [backup-simplify]: Simplify 0 into 0
2.291 * [backup-simplify]: Simplify 1 into 1
2.292 * [backup-simplify]: Simplify (/ 1 1) into 1
2.292 * [backup-simplify]: Simplify (- 1) into -1
2.293 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.293 * [backup-simplify]: Simplify (* 0 -1) into 0
2.294 * [backup-simplify]: Simplify (* -1 0) into 0
2.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.295 * [backup-simplify]: Simplify (- 0) into 0
2.295 * [backup-simplify]: Simplify (+ 1 0) into 1
2.296 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1
2.296 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1
2.297 * [backup-simplify]: Simplify (log 1) into 0
2.297 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N
2.297 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N
2.297 * [taylor]: Taking taylor expansion of -1 in N
2.297 * [backup-simplify]: Simplify -1 into -1
2.297 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N
2.297 * [taylor]: Taking taylor expansion of N in N
2.297 * [backup-simplify]: Simplify 0 into 0
2.297 * [backup-simplify]: Simplify 1 into 1
2.297 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
2.297 * [taylor]: Taking taylor expansion of 1 in N
2.297 * [backup-simplify]: Simplify 1 into 1
2.297 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.297 * [taylor]: Taking taylor expansion of N in N
2.297 * [backup-simplify]: Simplify 0 into 0
2.297 * [backup-simplify]: Simplify 1 into 1
2.298 * [backup-simplify]: Simplify (/ 1 1) into 1
2.298 * [backup-simplify]: Simplify (- 1) into -1
2.298 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.299 * [backup-simplify]: Simplify (* 0 -1) into 0
2.299 * [backup-simplify]: Simplify (* -1 0) into 0
2.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.300 * [backup-simplify]: Simplify (- 0) into 0
2.301 * [backup-simplify]: Simplify (+ 1 0) into 1
2.301 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1
2.302 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1
2.302 * [backup-simplify]: Simplify (log 1) into 0
2.302 * [backup-simplify]: Simplify 0 into 0
2.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.304 * [backup-simplify]: Simplify (- 0) into 0
2.304 * [backup-simplify]: Simplify (+ 0 0) into 0
2.305 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1
2.306 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1
2.307 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1
2.307 * [backup-simplify]: Simplify -1 into -1
2.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.308 * [backup-simplify]: Simplify (- 0) into 0
2.309 * [backup-simplify]: Simplify (+ 0 0) into 0
2.310 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0
2.312 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0
2.314 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2
2.314 * [backup-simplify]: Simplify -1/2 into -1/2
2.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.315 * [backup-simplify]: Simplify (- 0) into 0
2.316 * [backup-simplify]: Simplify (+ 0 0) into 0
2.317 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0
2.319 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0
2.324 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -1/3
2.324 * [backup-simplify]: Simplify -1/3 into -1/3
2.324 * [backup-simplify]: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))
2.324 * * * [progress]: simplifying candidates
2.324 * * * * [progress]: [ 1 / 31 ] simplifiying candidate #<alt (λ (N) (+ (log (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) (log (cbrt (/ (+ N 1) N)))))>
2.324 * * * * [progress]: [ 2 / 31 ] simplifiying candidate #<alt (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (log (sqrt (/ (+ N 1) N)))))>
2.324 * * * * [progress]: [ 3 / 31 ] simplifiying candidate #<alt (λ (N) (+ (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1)) (cbrt N)))))>
2.325 * * * * [progress]: [ 4 / 31 ] simplifiying candidate #<alt (λ (N) (+ (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ (cbrt (+ N 1)) (sqrt N)))))>
2.325 * * * * [progress]: [ 5 / 31 ] simplifiying candidate #<alt (λ (N) (+ (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) 1)) (log (/ (cbrt (+ N 1)) N))))>
2.325 * * * * [progress]: [ 6 / 31 ] simplifiying candidate #<alt (λ (N) (+ (log (/ (sqrt (+ N 1)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1)) (cbrt N)))))>
2.325 * * * * [progress]: [ 7 / 31 ] simplifiying candidate #<alt (λ (N) (+ (log (/ (sqrt (+ N 1)) (sqrt N))) (log (/ (sqrt (+ N 1)) (sqrt N)))))>
2.325 * * * * [progress]: [ 8 / 31 ] simplifiying candidate #<alt (λ (N) (+ (log (/ (sqrt (+ N 1)) 1)) (log (/ (sqrt (+ N 1)) N))))>
2.325 * * * * [progress]: [ 9 / 31 ] simplifiying candidate #<alt (λ (N) (+ (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1) (cbrt N)))))>
2.325 * * * * [progress]: [ 10 / 31 ] simplifiying candidate #<alt (λ (N) (+ (log (/ 1 (sqrt N))) (log (/ (+ N 1) (sqrt N)))))>
2.325 * * * * [progress]: [ 11 / 31 ] simplifiying candidate #<alt (λ (N) (+ (log (/ 1 1)) (log (/ (+ N 1) N))))>
2.325 * * * * [progress]: [ 12 / 31 ] simplifiying candidate #<alt (λ (N) (+ (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1) (cbrt N)))))>
2.325 * * * * [progress]: [ 13 / 31 ] simplifiying candidate #<alt (λ (N) (+ (log (/ 1 (sqrt N))) (log (/ (+ N 1) (sqrt N)))))>
2.325 * * * * [progress]: [ 14 / 31 ] simplifiying candidate #<alt (λ (N) (+ (log (/ 1 1)) (log (/ (+ N 1) N))))>
2.325 * * * * [progress]: [ 15 / 31 ] simplifiying candidate #<alt (λ (N) (+ (log 1) (log (/ (+ N 1) N))))>
2.325 * * * * [progress]: [ 16 / 31 ] simplifiying candidate #<alt (λ (N) (+ (log (+ N 1)) (log (/ 1 N))))>
2.325 * * * * [progress]: [ 17 / 31 ] simplifiying candidate #<alt (λ (N) (- (log (+ N 1)) (log N)))>
2.325 * * * * [progress]: [ 18 / 31 ] simplifiying candidate #<alt (λ (N) (* 1 (log (/ (+ N 1) N))))>
2.325 * * * * [progress]: [ 19 / 31 ] simplifiying candidate #<alt (λ (N) (pow (log (/ (+ N 1) N)) 1))>
2.325 * * * * [progress]: [ 20 / 31 ] simplifiying candidate #<alt (λ (N) (- (log (+ N 1)) (log N)))>
2.325 * * * * [progress]: [ 21 / 31 ] simplifiying candidate #<alt (λ (N) (log (/ (+ N 1) N)))>
2.325 * * * * [progress]: [ 22 / 31 ] simplifiying candidate #<alt (λ (N) (exp (log (log (/ (+ N 1) N)))))>
2.326 * * * * [progress]: [ 23 / 31 ] simplifiying candidate #<alt (λ (N) (log (exp (log (/ (+ N 1) N)))))>
2.326 * * * * [progress]: [ 24 / 31 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (log (/ (+ N 1) N))) (cbrt (log (/ (+ N 1) N)))) (cbrt (log (/ (+ N 1) N)))))>
2.326 * * * * [progress]: [ 25 / 31 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (log (/ (+ N 1) N)) (log (/ (+ N 1) N))) (log (/ (+ N 1) N)))))>
2.326 * * * * [progress]: [ 26 / 31 ] simplifiying candidate #<alt (λ (N) (* (sqrt (log (/ (+ N 1) N))) (sqrt (log (/ (+ N 1) N)))))>
2.326 * * * * [progress]: [ 27 / 31 ] simplifiying candidate #<alt (λ (N) (* 1 (log (/ (+ N 1) N))))>
2.326 * * * * [progress]: [ 28 / 31 ] simplifiying candidate #<alt (λ (N) (posit16->real (real->posit16 (log (/ (+ N 1) N)))))>
2.326 * * * * [progress]: [ 29 / 31 ] simplifiying candidate #<alt (λ (N) (- N (+ (log N) (* 1/2 (pow N 2)))))>
2.326 * * * * [progress]: [ 30 / 31 ] simplifiying candidate #<alt (λ (N) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))))>
2.326 * * * * [progress]: [ 31 / 31 ] simplifiying candidate #<alt (λ (N) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))))>
2.327 * [simplify]: Simplifying (log (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))), (log (cbrt (/ (+ N 1) N))), (log (sqrt (/ (+ N 1) N))), (log (sqrt (/ (+ N 1) N))), (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt N) (cbrt N)))), (log (/ (cbrt (+ N 1)) (cbrt N))), (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))), (log (/ (cbrt (+ N 1)) (sqrt N))), (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) 1)), (log (/ (cbrt (+ N 1)) N)), (log (/ (sqrt (+ N 1)) (* (cbrt N) (cbrt N)))), (log (/ (sqrt (+ N 1)) (cbrt N))), (log (/ (sqrt (+ N 1)) (sqrt N))), (log (/ (sqrt (+ N 1)) (sqrt N))), (log (/ (sqrt (+ N 1)) 1)), (log (/ (sqrt (+ N 1)) N)), (log (/ 1 (* (cbrt N) (cbrt N)))), (log (/ (+ N 1) (cbrt N))), (log (/ 1 (sqrt N))), (log (/ (+ N 1) (sqrt N))), (log (/ 1 1)), (log (/ (+ N 1) N)), (log (/ 1 (* (cbrt N) (cbrt N)))), (log (/ (+ N 1) (cbrt N))), (log (/ 1 (sqrt N))), (log (/ (+ N 1) (sqrt N))), (log (/ 1 1)), (log (/ (+ N 1) N)), (log 1), (log (/ (+ N 1) N)), (log (+ N 1)), (log (/ 1 N)), (log (+ N 1)), (log N), (log (/ (+ N 1) N)), (log (log (/ (+ N 1) N))), (exp (log (/ (+ N 1) N))), (* (cbrt (log (/ (+ N 1) N))) (cbrt (log (/ (+ N 1) N)))), (cbrt (log (/ (+ N 1) N))), (* (* (log (/ (+ N 1) N)) (log (/ (+ N 1) N))) (log (/ (+ N 1) N))), (sqrt (log (/ (+ N 1) N))), (sqrt (log (/ (+ N 1) N))), (real->posit16 (log (/ (+ N 1) N))), (- N (+ (log N) (* 1/2 (pow N 2)))), (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))), (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))
2.328 * * [simplify]: iteration 1: (77 enodes)
2.371 * * [simplify]: iteration 2: (291 enodes)
2.440 * * [simplify]: iteration 3: (448 enodes)
2.550 * * [simplify]: iteration 4: (728 enodes)
2.780 * * [simplify]: iteration 5: (1265 enodes)
3.408 * * [simplify]: Extracting #0: cost 32 inf + 0
3.409 * * [simplify]: Extracting #1: cost 175 inf + 1
3.415 * * [simplify]: Extracting #2: cost 401 inf + 1002
3.420 * * [simplify]: Extracting #3: cost 347 inf + 26407
3.441 * * [simplify]: Extracting #4: cost 95 inf + 91425
3.463 * * [simplify]: Extracting #5: cost 19 inf + 118913
3.488 * * [simplify]: Extracting #6: cost 0 inf + 129209
3.514 * [simplify]: Simplified to (log (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))), (log (cbrt (/ (+ 1 N) N))), (log (sqrt (/ (+ 1 N) N))), (log (sqrt (/ (+ 1 N) N))), (log (* (/ (cbrt (+ 1 N)) (cbrt N)) (/ (cbrt (+ 1 N)) (cbrt N)))), (log (/ (cbrt (+ 1 N)) (cbrt N))), (log (* (cbrt (+ 1 N)) (/ (cbrt (+ 1 N)) (sqrt N)))), (log (/ (cbrt (+ 1 N)) (sqrt N))), (+ (log (cbrt (+ 1 N))) (log (cbrt (+ 1 N)))), (log (/ (cbrt (+ 1 N)) N)), (log (/ (/ (sqrt (+ 1 N)) (cbrt N)) (cbrt N))), (log (/ (sqrt (+ 1 N)) (cbrt N))), (log (/ (sqrt (+ 1 N)) (sqrt N))), (log (/ (sqrt (+ 1 N)) (sqrt N))), (log (sqrt (+ 1 N))), (log (/ (sqrt (+ 1 N)) N)), (- (log (* (cbrt N) (cbrt N)))), (log (/ (+ 1 N) (cbrt N))), (- (log (sqrt N))), (log (/ (+ 1 N) (sqrt N))), 0, (log (/ (+ 1 N) N)), (- (log (* (cbrt N) (cbrt N)))), (log (/ (+ 1 N) (cbrt N))), (- (log (sqrt N))), (log (/ (+ 1 N) (sqrt N))), 0, (log (/ (+ 1 N) N)), 0, (log (/ (+ 1 N) N)), (log (+ 1 N)), (- (log N)), (log (+ 1 N)), (log N), (log (/ (+ 1 N) N)), (log (log (/ (+ 1 N) N))), (/ (+ 1 N) N), (* (cbrt (log (/ (+ 1 N) N))) (cbrt (log (/ (+ 1 N) N)))), (cbrt (log (/ (+ 1 N) N))), (* (* (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N))) (log (/ (+ 1 N) N))), (sqrt (log (/ (+ 1 N) N))), (sqrt (log (/ (+ 1 N) N))), (real->posit16 (log (/ (+ 1 N) N))), (- N (- (log N) (* -1/2 (* N N)))), (- (/ (* 1/3 (/ 1 N)) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N))), (- (/ (* 1/3 (/ 1 N)) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N)))
3.515 * * * [progress]: adding candidates to table
3.728 * * [progress]: iteration 3 / 4
3.728 * * * [progress]: picking best candidate
3.736 * * * * [pick]: Picked  #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N))) (- (log (+ N 1)) (log N)))))>
3.736 * * * [progress]: localizing error
3.770 * * * [progress]: generating rewritten candidates
3.770 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2)
3.779 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2)
3.788 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1)
3.800 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1)
3.809 * * * [progress]: generating series expansions
3.809 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2)
3.809 * [backup-simplify]: Simplify (- (log (+ N 1)) (log N)) into (- (log (+ N 1)) (log N))
3.809 * [approximate]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in (N) around 0
3.809 * [taylor]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N
3.809 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N
3.809 * [taylor]: Taking taylor expansion of (+ N 1) in N
3.809 * [taylor]: Taking taylor expansion of N in N
3.809 * [backup-simplify]: Simplify 0 into 0
3.809 * [backup-simplify]: Simplify 1 into 1
3.809 * [taylor]: Taking taylor expansion of 1 in N
3.809 * [backup-simplify]: Simplify 1 into 1
3.810 * [backup-simplify]: Simplify (+ 0 1) into 1
3.810 * [backup-simplify]: Simplify (log 1) into 0
3.810 * [taylor]: Taking taylor expansion of (log N) in N
3.811 * [taylor]: Taking taylor expansion of N in N
3.811 * [backup-simplify]: Simplify 0 into 0
3.811 * [backup-simplify]: Simplify 1 into 1
3.811 * [backup-simplify]: Simplify (log 1) into 0
3.811 * [taylor]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N
3.811 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N
3.811 * [taylor]: Taking taylor expansion of (+ N 1) in N
3.811 * [taylor]: Taking taylor expansion of N in N
3.811 * [backup-simplify]: Simplify 0 into 0
3.811 * [backup-simplify]: Simplify 1 into 1
3.811 * [taylor]: Taking taylor expansion of 1 in N
3.811 * [backup-simplify]: Simplify 1 into 1
3.812 * [backup-simplify]: Simplify (+ 0 1) into 1
3.812 * [backup-simplify]: Simplify (log 1) into 0
3.812 * [taylor]: Taking taylor expansion of (log N) in N
3.812 * [taylor]: Taking taylor expansion of N in N
3.812 * [backup-simplify]: Simplify 0 into 0
3.812 * [backup-simplify]: Simplify 1 into 1
3.812 * [backup-simplify]: Simplify (log 1) into 0
3.813 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
3.813 * [backup-simplify]: Simplify (- (log N)) into (- (log N))
3.813 * [backup-simplify]: Simplify (+ 0 (- (log N))) into (- (log N))
3.813 * [backup-simplify]: Simplify (- (log N)) into (- (log N))
3.814 * [backup-simplify]: Simplify (+ 1 0) into 1
3.815 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
3.816 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
3.816 * [backup-simplify]: Simplify (- 0) into 0
3.817 * [backup-simplify]: Simplify (+ 1 0) into 1
3.817 * [backup-simplify]: Simplify 1 into 1
3.817 * [backup-simplify]: Simplify (+ 0 0) into 0
3.820 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2
3.822 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
3.823 * [backup-simplify]: Simplify (- 0) into 0
3.823 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2
3.823 * [backup-simplify]: Simplify -1/2 into -1/2
3.823 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2))))
3.824 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1)) (log (/ 1 N)))
3.824 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in (N) around 0
3.824 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N
3.824 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N
3.824 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
3.824 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.824 * [taylor]: Taking taylor expansion of N in N
3.824 * [backup-simplify]: Simplify 0 into 0
3.824 * [backup-simplify]: Simplify 1 into 1
3.824 * [backup-simplify]: Simplify (/ 1 1) into 1
3.824 * [taylor]: Taking taylor expansion of 1 in N
3.824 * [backup-simplify]: Simplify 1 into 1
3.825 * [backup-simplify]: Simplify (+ 1 0) into 1
3.825 * [backup-simplify]: Simplify (log 1) into 0
3.825 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
3.825 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.825 * [taylor]: Taking taylor expansion of N in N
3.825 * [backup-simplify]: Simplify 0 into 0
3.825 * [backup-simplify]: Simplify 1 into 1
3.826 * [backup-simplify]: Simplify (/ 1 1) into 1
3.826 * [backup-simplify]: Simplify (log 1) into 0
3.826 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N
3.826 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N
3.826 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
3.826 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.826 * [taylor]: Taking taylor expansion of N in N
3.826 * [backup-simplify]: Simplify 0 into 0
3.826 * [backup-simplify]: Simplify 1 into 1
3.827 * [backup-simplify]: Simplify (/ 1 1) into 1
3.827 * [taylor]: Taking taylor expansion of 1 in N
3.827 * [backup-simplify]: Simplify 1 into 1
3.827 * [backup-simplify]: Simplify (+ 1 0) into 1
3.827 * [backup-simplify]: Simplify (log 1) into 0
3.827 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
3.827 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.827 * [taylor]: Taking taylor expansion of N in N
3.827 * [backup-simplify]: Simplify 0 into 0
3.827 * [backup-simplify]: Simplify 1 into 1
3.828 * [backup-simplify]: Simplify (/ 1 1) into 1
3.828 * [backup-simplify]: Simplify (log 1) into 0
3.829 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
3.829 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
3.829 * [backup-simplify]: Simplify (- (- (log N))) into (log N)
3.829 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0
3.829 * [backup-simplify]: Simplify 0 into 0
3.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.830 * [backup-simplify]: Simplify (+ 0 1) into 1
3.831 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
3.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.834 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
3.834 * [backup-simplify]: Simplify (- 0) into 0
3.834 * [backup-simplify]: Simplify (+ 1 0) into 1
3.834 * [backup-simplify]: Simplify 1 into 1
3.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.836 * [backup-simplify]: Simplify (+ 0 0) into 0
3.838 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2
3.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.842 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
3.842 * [backup-simplify]: Simplify (- 0) into 0
3.843 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2
3.843 * [backup-simplify]: Simplify -1/2 into -1/2
3.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.844 * [backup-simplify]: Simplify (+ 0 0) into 0
3.849 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3
3.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.856 * [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
3.856 * [backup-simplify]: Simplify (- 0) into 0
3.857 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3
3.857 * [backup-simplify]: Simplify 1/3 into 1/3
3.857 * [backup-simplify]: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))
3.857 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1)) (log (/ 1 (- N)))) into (- (log (- 1 (/ 1 N))) (log (/ -1 N)))
3.857 * [approximate]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in (N) around 0
3.857 * [taylor]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N
3.857 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N
3.857 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
3.857 * [taylor]: Taking taylor expansion of 1 in N
3.857 * [backup-simplify]: Simplify 1 into 1
3.858 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.858 * [taylor]: Taking taylor expansion of N in N
3.858 * [backup-simplify]: Simplify 0 into 0
3.858 * [backup-simplify]: Simplify 1 into 1
3.858 * [backup-simplify]: Simplify (/ 1 1) into 1
3.859 * [backup-simplify]: Simplify (- 1) into -1
3.859 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.859 * [backup-simplify]: Simplify (log -1) into (log -1)
3.859 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N
3.860 * [taylor]: Taking taylor expansion of (/ -1 N) in N
3.860 * [taylor]: Taking taylor expansion of -1 in N
3.860 * [backup-simplify]: Simplify -1 into -1
3.860 * [taylor]: Taking taylor expansion of N in N
3.860 * [backup-simplify]: Simplify 0 into 0
3.860 * [backup-simplify]: Simplify 1 into 1
3.860 * [backup-simplify]: Simplify (/ -1 1) into -1
3.860 * [backup-simplify]: Simplify (log -1) into (log -1)
3.860 * [taylor]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N
3.861 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N
3.861 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
3.861 * [taylor]: Taking taylor expansion of 1 in N
3.861 * [backup-simplify]: Simplify 1 into 1
3.861 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.861 * [taylor]: Taking taylor expansion of N in N
3.861 * [backup-simplify]: Simplify 0 into 0
3.861 * [backup-simplify]: Simplify 1 into 1
3.865 * [backup-simplify]: Simplify (/ 1 1) into 1
3.866 * [backup-simplify]: Simplify (- 1) into -1
3.866 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.867 * [backup-simplify]: Simplify (log -1) into (log -1)
3.867 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N
3.867 * [taylor]: Taking taylor expansion of (/ -1 N) in N
3.867 * [taylor]: Taking taylor expansion of -1 in N
3.867 * [backup-simplify]: Simplify -1 into -1
3.867 * [taylor]: Taking taylor expansion of N in N
3.867 * [backup-simplify]: Simplify 0 into 0
3.867 * [backup-simplify]: Simplify 1 into 1
3.867 * [backup-simplify]: Simplify (/ -1 1) into -1
3.868 * [backup-simplify]: Simplify (log -1) into (log -1)
3.868 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
3.869 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
3.870 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1))
3.870 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0
3.870 * [backup-simplify]: Simplify 0 into 0
3.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.871 * [backup-simplify]: Simplify (- 0) into 0
3.871 * [backup-simplify]: Simplify (+ 1 0) into 1
3.872 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1
3.872 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.873 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
3.873 * [backup-simplify]: Simplify (- 0) into 0
3.874 * [backup-simplify]: Simplify (+ -1 0) into -1
3.874 * [backup-simplify]: Simplify -1 into -1
3.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.874 * [backup-simplify]: Simplify (- 0) into 0
3.875 * [backup-simplify]: Simplify (+ 0 0) into 0
3.876 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2
3.877 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.878 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0
3.878 * [backup-simplify]: Simplify (- 0) into 0
3.879 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2
3.879 * [backup-simplify]: Simplify -1/2 into -1/2
3.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.879 * [backup-simplify]: Simplify (- 0) into 0
3.880 * [backup-simplify]: Simplify (+ 0 0) into 0
3.882 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -1/3
3.883 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.886 * [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
3.886 * [backup-simplify]: Simplify (- 0) into 0
3.886 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3
3.886 * [backup-simplify]: Simplify -1/3 into -1/3
3.886 * [backup-simplify]: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))
3.887 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2)
3.887 * [backup-simplify]: Simplify (- (log (+ N 1)) (log N)) into (- (log (+ N 1)) (log N))
3.887 * [approximate]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in (N) around 0
3.887 * [taylor]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N
3.887 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N
3.887 * [taylor]: Taking taylor expansion of (+ N 1) in N
3.887 * [taylor]: Taking taylor expansion of N in N
3.887 * [backup-simplify]: Simplify 0 into 0
3.887 * [backup-simplify]: Simplify 1 into 1
3.887 * [taylor]: Taking taylor expansion of 1 in N
3.887 * [backup-simplify]: Simplify 1 into 1
3.887 * [backup-simplify]: Simplify (+ 0 1) into 1
3.887 * [backup-simplify]: Simplify (log 1) into 0
3.887 * [taylor]: Taking taylor expansion of (log N) in N
3.887 * [taylor]: Taking taylor expansion of N in N
3.887 * [backup-simplify]: Simplify 0 into 0
3.887 * [backup-simplify]: Simplify 1 into 1
3.888 * [backup-simplify]: Simplify (log 1) into 0
3.888 * [taylor]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N
3.888 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N
3.888 * [taylor]: Taking taylor expansion of (+ N 1) in N
3.888 * [taylor]: Taking taylor expansion of N in N
3.888 * [backup-simplify]: Simplify 0 into 0
3.888 * [backup-simplify]: Simplify 1 into 1
3.888 * [taylor]: Taking taylor expansion of 1 in N
3.888 * [backup-simplify]: Simplify 1 into 1
3.888 * [backup-simplify]: Simplify (+ 0 1) into 1
3.888 * [backup-simplify]: Simplify (log 1) into 0
3.888 * [taylor]: Taking taylor expansion of (log N) in N
3.888 * [taylor]: Taking taylor expansion of N in N
3.888 * [backup-simplify]: Simplify 0 into 0
3.888 * [backup-simplify]: Simplify 1 into 1
3.888 * [backup-simplify]: Simplify (log 1) into 0
3.889 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
3.889 * [backup-simplify]: Simplify (- (log N)) into (- (log N))
3.889 * [backup-simplify]: Simplify (+ 0 (- (log N))) into (- (log N))
3.889 * [backup-simplify]: Simplify (- (log N)) into (- (log N))
3.889 * [backup-simplify]: Simplify (+ 1 0) into 1
3.890 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
3.891 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
3.891 * [backup-simplify]: Simplify (- 0) into 0
3.891 * [backup-simplify]: Simplify (+ 1 0) into 1
3.891 * [backup-simplify]: Simplify 1 into 1
3.891 * [backup-simplify]: Simplify (+ 0 0) into 0
3.893 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2
3.894 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
3.895 * [backup-simplify]: Simplify (- 0) into 0
3.895 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2
3.895 * [backup-simplify]: Simplify -1/2 into -1/2
3.895 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2))))
3.895 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1)) (log (/ 1 N)))
3.895 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in (N) around 0
3.895 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N
3.895 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N
3.895 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
3.895 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.895 * [taylor]: Taking taylor expansion of N in N
3.895 * [backup-simplify]: Simplify 0 into 0
3.895 * [backup-simplify]: Simplify 1 into 1
3.896 * [backup-simplify]: Simplify (/ 1 1) into 1
3.896 * [taylor]: Taking taylor expansion of 1 in N
3.896 * [backup-simplify]: Simplify 1 into 1
3.896 * [backup-simplify]: Simplify (+ 1 0) into 1
3.896 * [backup-simplify]: Simplify (log 1) into 0
3.896 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
3.896 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.896 * [taylor]: Taking taylor expansion of N in N
3.896 * [backup-simplify]: Simplify 0 into 0
3.896 * [backup-simplify]: Simplify 1 into 1
3.896 * [backup-simplify]: Simplify (/ 1 1) into 1
3.897 * [backup-simplify]: Simplify (log 1) into 0
3.897 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N
3.897 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N
3.897 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
3.897 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.897 * [taylor]: Taking taylor expansion of N in N
3.897 * [backup-simplify]: Simplify 0 into 0
3.897 * [backup-simplify]: Simplify 1 into 1
3.897 * [backup-simplify]: Simplify (/ 1 1) into 1
3.897 * [taylor]: Taking taylor expansion of 1 in N
3.897 * [backup-simplify]: Simplify 1 into 1
3.897 * [backup-simplify]: Simplify (+ 1 0) into 1
3.897 * [backup-simplify]: Simplify (log 1) into 0
3.897 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
3.898 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.898 * [taylor]: Taking taylor expansion of N in N
3.898 * [backup-simplify]: Simplify 0 into 0
3.898 * [backup-simplify]: Simplify 1 into 1
3.898 * [backup-simplify]: Simplify (/ 1 1) into 1
3.898 * [backup-simplify]: Simplify (log 1) into 0
3.898 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
3.899 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
3.899 * [backup-simplify]: Simplify (- (- (log N))) into (log N)
3.899 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0
3.899 * [backup-simplify]: Simplify 0 into 0
3.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.899 * [backup-simplify]: Simplify (+ 0 1) into 1
3.900 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
3.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.901 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
3.902 * [backup-simplify]: Simplify (- 0) into 0
3.902 * [backup-simplify]: Simplify (+ 1 0) into 1
3.902 * [backup-simplify]: Simplify 1 into 1
3.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.903 * [backup-simplify]: Simplify (+ 0 0) into 0
3.904 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2
3.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.906 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
3.906 * [backup-simplify]: Simplify (- 0) into 0
3.907 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2
3.907 * [backup-simplify]: Simplify -1/2 into -1/2
3.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.907 * [backup-simplify]: Simplify (+ 0 0) into 0
3.910 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3
3.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.913 * [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
3.914 * [backup-simplify]: Simplify (- 0) into 0
3.914 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3
3.914 * [backup-simplify]: Simplify 1/3 into 1/3
3.914 * [backup-simplify]: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))
3.914 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1)) (log (/ 1 (- N)))) into (- (log (- 1 (/ 1 N))) (log (/ -1 N)))
3.914 * [approximate]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in (N) around 0
3.914 * [taylor]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N
3.914 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N
3.915 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
3.915 * [taylor]: Taking taylor expansion of 1 in N
3.915 * [backup-simplify]: Simplify 1 into 1
3.915 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.915 * [taylor]: Taking taylor expansion of N in N
3.915 * [backup-simplify]: Simplify 0 into 0
3.915 * [backup-simplify]: Simplify 1 into 1
3.915 * [backup-simplify]: Simplify (/ 1 1) into 1
3.915 * [backup-simplify]: Simplify (- 1) into -1
3.915 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.916 * [backup-simplify]: Simplify (log -1) into (log -1)
3.916 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N
3.916 * [taylor]: Taking taylor expansion of (/ -1 N) in N
3.916 * [taylor]: Taking taylor expansion of -1 in N
3.916 * [backup-simplify]: Simplify -1 into -1
3.916 * [taylor]: Taking taylor expansion of N in N
3.916 * [backup-simplify]: Simplify 0 into 0
3.916 * [backup-simplify]: Simplify 1 into 1
3.916 * [backup-simplify]: Simplify (/ -1 1) into -1
3.916 * [backup-simplify]: Simplify (log -1) into (log -1)
3.916 * [taylor]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N
3.916 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N
3.916 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
3.916 * [taylor]: Taking taylor expansion of 1 in N
3.916 * [backup-simplify]: Simplify 1 into 1
3.916 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.916 * [taylor]: Taking taylor expansion of N in N
3.916 * [backup-simplify]: Simplify 0 into 0
3.916 * [backup-simplify]: Simplify 1 into 1
3.917 * [backup-simplify]: Simplify (/ 1 1) into 1
3.917 * [backup-simplify]: Simplify (- 1) into -1
3.917 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.917 * [backup-simplify]: Simplify (log -1) into (log -1)
3.917 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N
3.917 * [taylor]: Taking taylor expansion of (/ -1 N) in N
3.917 * [taylor]: Taking taylor expansion of -1 in N
3.917 * [backup-simplify]: Simplify -1 into -1
3.917 * [taylor]: Taking taylor expansion of N in N
3.917 * [backup-simplify]: Simplify 0 into 0
3.917 * [backup-simplify]: Simplify 1 into 1
3.918 * [backup-simplify]: Simplify (/ -1 1) into -1
3.918 * [backup-simplify]: Simplify (log -1) into (log -1)
3.918 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
3.919 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
3.919 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1))
3.920 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0
3.920 * [backup-simplify]: Simplify 0 into 0
3.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.920 * [backup-simplify]: Simplify (- 0) into 0
3.921 * [backup-simplify]: Simplify (+ 1 0) into 1
3.921 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1
3.922 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.923 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
3.923 * [backup-simplify]: Simplify (- 0) into 0
3.923 * [backup-simplify]: Simplify (+ -1 0) into -1
3.923 * [backup-simplify]: Simplify -1 into -1
3.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.924 * [backup-simplify]: Simplify (- 0) into 0
3.924 * [backup-simplify]: Simplify (+ 0 0) into 0
3.926 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2
3.927 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.930 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0
3.930 * [backup-simplify]: Simplify (- 0) into 0
3.930 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2
3.930 * [backup-simplify]: Simplify -1/2 into -1/2
3.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.932 * [backup-simplify]: Simplify (- 0) into 0
3.932 * [backup-simplify]: Simplify (+ 0 0) into 0
3.937 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -1/3
3.938 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.942 * [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
3.942 * [backup-simplify]: Simplify (- 0) into 0
3.943 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3
3.943 * [backup-simplify]: Simplify -1/3 into -1/3
3.943 * [backup-simplify]: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))
3.943 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1)
3.943 * [backup-simplify]: Simplify (- (log (+ N 1)) (log N)) into (- (log (+ N 1)) (log N))
3.944 * [approximate]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in (N) around 0
3.944 * [taylor]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N
3.944 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N
3.944 * [taylor]: Taking taylor expansion of (+ N 1) in N
3.944 * [taylor]: Taking taylor expansion of N in N
3.944 * [backup-simplify]: Simplify 0 into 0
3.944 * [backup-simplify]: Simplify 1 into 1
3.944 * [taylor]: Taking taylor expansion of 1 in N
3.944 * [backup-simplify]: Simplify 1 into 1
3.944 * [backup-simplify]: Simplify (+ 0 1) into 1
3.945 * [backup-simplify]: Simplify (log 1) into 0
3.945 * [taylor]: Taking taylor expansion of (log N) in N
3.945 * [taylor]: Taking taylor expansion of N in N
3.945 * [backup-simplify]: Simplify 0 into 0
3.945 * [backup-simplify]: Simplify 1 into 1
3.945 * [backup-simplify]: Simplify (log 1) into 0
3.945 * [taylor]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N
3.945 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N
3.945 * [taylor]: Taking taylor expansion of (+ N 1) in N
3.945 * [taylor]: Taking taylor expansion of N in N
3.945 * [backup-simplify]: Simplify 0 into 0
3.945 * [backup-simplify]: Simplify 1 into 1
3.945 * [taylor]: Taking taylor expansion of 1 in N
3.945 * [backup-simplify]: Simplify 1 into 1
3.946 * [backup-simplify]: Simplify (+ 0 1) into 1
3.946 * [backup-simplify]: Simplify (log 1) into 0
3.946 * [taylor]: Taking taylor expansion of (log N) in N
3.946 * [taylor]: Taking taylor expansion of N in N
3.946 * [backup-simplify]: Simplify 0 into 0
3.946 * [backup-simplify]: Simplify 1 into 1
3.946 * [backup-simplify]: Simplify (log 1) into 0
3.947 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
3.947 * [backup-simplify]: Simplify (- (log N)) into (- (log N))
3.947 * [backup-simplify]: Simplify (+ 0 (- (log N))) into (- (log N))
3.947 * [backup-simplify]: Simplify (- (log N)) into (- (log N))
3.947 * [backup-simplify]: Simplify (+ 1 0) into 1
3.948 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
3.950 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
3.950 * [backup-simplify]: Simplify (- 0) into 0
3.950 * [backup-simplify]: Simplify (+ 1 0) into 1
3.950 * [backup-simplify]: Simplify 1 into 1
3.951 * [backup-simplify]: Simplify (+ 0 0) into 0
3.953 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2
3.956 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
3.956 * [backup-simplify]: Simplify (- 0) into 0
3.956 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2
3.957 * [backup-simplify]: Simplify -1/2 into -1/2
3.957 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2))))
3.957 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1)) (log (/ 1 N)))
3.957 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in (N) around 0
3.957 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N
3.957 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N
3.957 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
3.957 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.957 * [taylor]: Taking taylor expansion of N in N
3.957 * [backup-simplify]: Simplify 0 into 0
3.957 * [backup-simplify]: Simplify 1 into 1
3.957 * [backup-simplify]: Simplify (/ 1 1) into 1
3.958 * [taylor]: Taking taylor expansion of 1 in N
3.958 * [backup-simplify]: Simplify 1 into 1
3.958 * [backup-simplify]: Simplify (+ 1 0) into 1
3.958 * [backup-simplify]: Simplify (log 1) into 0
3.958 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
3.958 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.958 * [taylor]: Taking taylor expansion of N in N
3.958 * [backup-simplify]: Simplify 0 into 0
3.958 * [backup-simplify]: Simplify 1 into 1
3.959 * [backup-simplify]: Simplify (/ 1 1) into 1
3.959 * [backup-simplify]: Simplify (log 1) into 0
3.959 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N
3.959 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N
3.959 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
3.959 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.959 * [taylor]: Taking taylor expansion of N in N
3.959 * [backup-simplify]: Simplify 0 into 0
3.959 * [backup-simplify]: Simplify 1 into 1
3.960 * [backup-simplify]: Simplify (/ 1 1) into 1
3.960 * [taylor]: Taking taylor expansion of 1 in N
3.960 * [backup-simplify]: Simplify 1 into 1
3.960 * [backup-simplify]: Simplify (+ 1 0) into 1
3.961 * [backup-simplify]: Simplify (log 1) into 0
3.961 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
3.961 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.961 * [taylor]: Taking taylor expansion of N in N
3.961 * [backup-simplify]: Simplify 0 into 0
3.961 * [backup-simplify]: Simplify 1 into 1
3.961 * [backup-simplify]: Simplify (/ 1 1) into 1
3.961 * [backup-simplify]: Simplify (log 1) into 0
3.962 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
3.962 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
3.962 * [backup-simplify]: Simplify (- (- (log N))) into (log N)
3.962 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0
3.962 * [backup-simplify]: Simplify 0 into 0
3.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.965 * [backup-simplify]: Simplify (+ 0 1) into 1
3.966 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
3.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.968 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
3.969 * [backup-simplify]: Simplify (- 0) into 0
3.969 * [backup-simplify]: Simplify (+ 1 0) into 1
3.969 * [backup-simplify]: Simplify 1 into 1
3.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.970 * [backup-simplify]: Simplify (+ 0 0) into 0
3.973 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2
3.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.976 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
3.976 * [backup-simplify]: Simplify (- 0) into 0
3.976 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2
3.977 * [backup-simplify]: Simplify -1/2 into -1/2
3.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.978 * [backup-simplify]: Simplify (+ 0 0) into 0
3.980 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3
3.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.983 * [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
3.984 * [backup-simplify]: Simplify (- 0) into 0
3.984 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3
3.984 * [backup-simplify]: Simplify 1/3 into 1/3
3.984 * [backup-simplify]: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))
3.984 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1)) (log (/ 1 (- N)))) into (- (log (- 1 (/ 1 N))) (log (/ -1 N)))
3.984 * [approximate]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in (N) around 0
3.985 * [taylor]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N
3.985 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N
3.985 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
3.985 * [taylor]: Taking taylor expansion of 1 in N
3.985 * [backup-simplify]: Simplify 1 into 1
3.985 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.985 * [taylor]: Taking taylor expansion of N in N
3.985 * [backup-simplify]: Simplify 0 into 0
3.985 * [backup-simplify]: Simplify 1 into 1
3.985 * [backup-simplify]: Simplify (/ 1 1) into 1
3.985 * [backup-simplify]: Simplify (- 1) into -1
3.985 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.986 * [backup-simplify]: Simplify (log -1) into (log -1)
3.986 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N
3.986 * [taylor]: Taking taylor expansion of (/ -1 N) in N
3.986 * [taylor]: Taking taylor expansion of -1 in N
3.986 * [backup-simplify]: Simplify -1 into -1
3.986 * [taylor]: Taking taylor expansion of N in N
3.986 * [backup-simplify]: Simplify 0 into 0
3.986 * [backup-simplify]: Simplify 1 into 1
3.986 * [backup-simplify]: Simplify (/ -1 1) into -1
3.986 * [backup-simplify]: Simplify (log -1) into (log -1)
3.986 * [taylor]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N
3.986 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N
3.986 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
3.986 * [taylor]: Taking taylor expansion of 1 in N
3.986 * [backup-simplify]: Simplify 1 into 1
3.986 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.986 * [taylor]: Taking taylor expansion of N in N
3.986 * [backup-simplify]: Simplify 0 into 0
3.986 * [backup-simplify]: Simplify 1 into 1
3.987 * [backup-simplify]: Simplify (/ 1 1) into 1
3.987 * [backup-simplify]: Simplify (- 1) into -1
3.987 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.987 * [backup-simplify]: Simplify (log -1) into (log -1)
3.987 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N
3.987 * [taylor]: Taking taylor expansion of (/ -1 N) in N
3.987 * [taylor]: Taking taylor expansion of -1 in N
3.987 * [backup-simplify]: Simplify -1 into -1
3.987 * [taylor]: Taking taylor expansion of N in N
3.987 * [backup-simplify]: Simplify 0 into 0
3.987 * [backup-simplify]: Simplify 1 into 1
3.988 * [backup-simplify]: Simplify (/ -1 1) into -1
3.988 * [backup-simplify]: Simplify (log -1) into (log -1)
3.988 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
3.989 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
3.989 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1))
3.990 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0
3.990 * [backup-simplify]: Simplify 0 into 0
3.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.991 * [backup-simplify]: Simplify (- 0) into 0
3.991 * [backup-simplify]: Simplify (+ 1 0) into 1
3.992 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1
3.992 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.993 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
3.993 * [backup-simplify]: Simplify (- 0) into 0
3.993 * [backup-simplify]: Simplify (+ -1 0) into -1
3.993 * [backup-simplify]: Simplify -1 into -1
3.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.994 * [backup-simplify]: Simplify (- 0) into 0
3.994 * [backup-simplify]: Simplify (+ 0 0) into 0
3.996 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2
3.996 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.998 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0
3.998 * [backup-simplify]: Simplify (- 0) into 0
3.998 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2
3.998 * [backup-simplify]: Simplify -1/2 into -1/2
3.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.999 * [backup-simplify]: Simplify (- 0) into 0
3.999 * [backup-simplify]: Simplify (+ 0 0) into 0
4.002 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -1/3
4.003 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.006 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0
4.006 * [backup-simplify]: Simplify (- 0) into 0
4.006 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3
4.006 * [backup-simplify]: Simplify -1/3 into -1/3
4.006 * [backup-simplify]: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))
4.007 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1)
4.007 * [backup-simplify]: Simplify (log (+ N 1)) into (log (+ N 1))
4.007 * [approximate]: Taking taylor expansion of (log (+ N 1)) in (N) around 0
4.007 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N
4.007 * [taylor]: Taking taylor expansion of (+ N 1) in N
4.007 * [taylor]: Taking taylor expansion of N in N
4.007 * [backup-simplify]: Simplify 0 into 0
4.007 * [backup-simplify]: Simplify 1 into 1
4.007 * [taylor]: Taking taylor expansion of 1 in N
4.007 * [backup-simplify]: Simplify 1 into 1
4.007 * [backup-simplify]: Simplify (+ 0 1) into 1
4.007 * [backup-simplify]: Simplify (log 1) into 0
4.007 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N
4.007 * [taylor]: Taking taylor expansion of (+ N 1) in N
4.007 * [taylor]: Taking taylor expansion of N in N
4.007 * [backup-simplify]: Simplify 0 into 0
4.007 * [backup-simplify]: Simplify 1 into 1
4.007 * [taylor]: Taking taylor expansion of 1 in N
4.007 * [backup-simplify]: Simplify 1 into 1
4.008 * [backup-simplify]: Simplify (+ 0 1) into 1
4.008 * [backup-simplify]: Simplify (log 1) into 0
4.008 * [backup-simplify]: Simplify 0 into 0
4.008 * [backup-simplify]: Simplify (+ 1 0) into 1
4.009 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
4.009 * [backup-simplify]: Simplify 1 into 1
4.009 * [backup-simplify]: Simplify (+ 0 0) into 0
4.011 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2
4.011 * [backup-simplify]: Simplify -1/2 into -1/2
4.011 * [backup-simplify]: Simplify (+ 0 0) into 0
4.014 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3
4.015 * [backup-simplify]: Simplify 1/3 into 1/3
4.015 * [backup-simplify]: Simplify (+ (* 1/3 (pow N 3)) (+ (* -1/2 (pow N 2)) (* 1 N))) into (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2)))
4.015 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1)) into (log (+ (/ 1 N) 1))
4.015 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0
4.015 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N
4.015 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
4.015 * [taylor]: Taking taylor expansion of (/ 1 N) in N
4.015 * [taylor]: Taking taylor expansion of N in N
4.015 * [backup-simplify]: Simplify 0 into 0
4.015 * [backup-simplify]: Simplify 1 into 1
4.016 * [backup-simplify]: Simplify (/ 1 1) into 1
4.016 * [taylor]: Taking taylor expansion of 1 in N
4.016 * [backup-simplify]: Simplify 1 into 1
4.016 * [backup-simplify]: Simplify (+ 1 0) into 1
4.016 * [backup-simplify]: Simplify (log 1) into 0
4.016 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N
4.016 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
4.017 * [taylor]: Taking taylor expansion of (/ 1 N) in N
4.017 * [taylor]: Taking taylor expansion of N in N
4.017 * [backup-simplify]: Simplify 0 into 0
4.017 * [backup-simplify]: Simplify 1 into 1
4.017 * [backup-simplify]: Simplify (/ 1 1) into 1
4.017 * [taylor]: Taking taylor expansion of 1 in N
4.017 * [backup-simplify]: Simplify 1 into 1
4.017 * [backup-simplify]: Simplify (+ 1 0) into 1
4.018 * [backup-simplify]: Simplify (log 1) into 0
4.018 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.018 * [backup-simplify]: Simplify (- (log N)) into (- (log N))
4.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.019 * [backup-simplify]: Simplify (+ 0 1) into 1
4.021 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
4.021 * [backup-simplify]: Simplify 1 into 1
4.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.022 * [backup-simplify]: Simplify (+ 0 0) into 0
4.025 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2
4.025 * [backup-simplify]: Simplify -1/2 into -1/2
4.025 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 N) 2)) (+ (* 1 (/ 1 N)) (- (log (/ 1 N))))) into (- (/ 1 N) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ 1 N))))
4.025 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1)) into (log (- 1 (/ 1 N)))
4.025 * [approximate]: Taking taylor expansion of (log (- 1 (/ 1 N))) in (N) around 0
4.025 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N
4.025 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
4.025 * [taylor]: Taking taylor expansion of 1 in N
4.025 * [backup-simplify]: Simplify 1 into 1
4.025 * [taylor]: Taking taylor expansion of (/ 1 N) in N
4.025 * [taylor]: Taking taylor expansion of N in N
4.025 * [backup-simplify]: Simplify 0 into 0
4.025 * [backup-simplify]: Simplify 1 into 1
4.026 * [backup-simplify]: Simplify (/ 1 1) into 1
4.026 * [backup-simplify]: Simplify (- 1) into -1
4.027 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.027 * [backup-simplify]: Simplify (log -1) into (log -1)
4.027 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N
4.027 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
4.027 * [taylor]: Taking taylor expansion of 1 in N
4.027 * [backup-simplify]: Simplify 1 into 1
4.027 * [taylor]: Taking taylor expansion of (/ 1 N) in N
4.027 * [taylor]: Taking taylor expansion of N in N
4.027 * [backup-simplify]: Simplify 0 into 0
4.027 * [backup-simplify]: Simplify 1 into 1
4.027 * [backup-simplify]: Simplify (/ 1 1) into 1
4.028 * [backup-simplify]: Simplify (- 1) into -1
4.028 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.029 * [backup-simplify]: Simplify (log -1) into (log -1)
4.029 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
4.030 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N))
4.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.031 * [backup-simplify]: Simplify (- 0) into 0
4.031 * [backup-simplify]: Simplify (+ 1 0) into 1
4.033 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1
4.033 * [backup-simplify]: Simplify -1 into -1
4.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.034 * [backup-simplify]: Simplify (- 0) into 0
4.034 * [backup-simplify]: Simplify (+ 0 0) into 0
4.037 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2
4.037 * [backup-simplify]: Simplify -1/2 into -1/2
4.038 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 (- N)) 2)) (+ (* -1 (/ 1 (- N))) (- (log -1) (log (/ 1 (- N)))))) into (- (+ (/ 1 N) (log -1)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N))))
4.038 * * * [progress]: simplifying candidates
4.038 * * * * [progress]: [ 1 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N))) (log (/ (+ N 1) N)))))>
4.038 * * * * [progress]: [ 2 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N))) (pow (- (log (+ N 1)) (log N)) 1))))>
4.038 * * * * [progress]: [ 3 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N))) (exp (log (- (log (+ N 1)) (log N)))))))>
4.038 * * * * [progress]: [ 4 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N))) (log (exp (- (log (+ N 1)) (log N)))))))>
4.038 * * * * [progress]: [ 5 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N))) (* (* (cbrt (- (log (+ N 1)) (log N))) (cbrt (- (log (+ N 1)) (log N)))) (cbrt (- (log (+ N 1)) (log N)))))))>
4.038 * * * * [progress]: [ 6 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N))) (cbrt (* (* (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N))) (- (log (+ N 1)) (log N)))))))>
4.038 * * * * [progress]: [ 7 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N))) (* (sqrt (- (log (+ N 1)) (log N))) (sqrt (- (log (+ N 1)) (log N)))))))>
4.038 * * * * [progress]: [ 8 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N))) (/ (- (pow (log (+ N 1)) 3) (pow (log N) 3)) (+ (* (log (+ N 1)) (log (+ N 1))) (+ (* (log N) (log N)) (* (log (+ N 1)) (log N))))))))>
4.038 * * * * [progress]: [ 9 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N))) (+ (log (+ N 1)) (- (log N))))))>
4.038 * * * * [progress]: [ 10 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N))) (* 1 (- (log (+ N 1)) (log N))))))>
4.039 * * * * [progress]: [ 11 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N))) (/ (- (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log N))) (+ (log (+ N 1)) (log N))))))>
4.039 * * * * [progress]: [ 12 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N))) (* (+ (sqrt (log (+ N 1))) (sqrt (log N))) (- (sqrt (log (+ N 1))) (sqrt (log N)))))))>
4.039 * * * * [progress]: [ 13 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N))) (* 1 (- (log (+ N 1)) (log N))))))>
4.039 * * * * [progress]: [ 14 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N))) (* 1 (- (log (+ N 1)) (log N))))))>
4.039 * * * * [progress]: [ 15 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N))) (* 1 (- (log (+ N 1)) (log N))))))>
4.039 * * * * [progress]: [ 16 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N))) (* 1 (- (log (+ N 1)) (log N))))))>
4.039 * * * * [progress]: [ 17 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N))) (- (- (log (+ N 1)) (log (* (cbrt N) (cbrt N)))) (log (cbrt N))))))>
4.039 * * * * [progress]: [ 18 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N))) (- (- (log (+ N 1)) (log (sqrt N))) (log (sqrt N))))))>
4.039 * * * * [progress]: [ 19 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N))) (- (- (log (+ N 1)) (log 1)) (log N)))))>
4.039 * * * * [progress]: [ 20 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N))) (+ (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (- (log (cbrt (+ N 1))) (log N))))))>
4.039 * * * * [progress]: [ 21 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N))) (+ (log (sqrt (+ N 1))) (- (log (sqrt (+ N 1))) (log N))))))>
4.039 * * * * [progress]: [ 22 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N))) (+ (log 1) (- (log (+ N 1)) (log N))))))>
4.039 * * * * [progress]: [ 23 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N))) (+ (log 1) (- (log (+ N 1)) (log N))))))>
4.039 * * * * [progress]: [ 24 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N))) (- (log (+ (pow N 3) (pow 1 3))) (+ (log (+ (* N N) (- (* 1 1) (* N 1)))) (log N))))))>
4.039 * * * * [progress]: [ 25 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N))) (- (log (- (* N N) (* 1 1))) (+ (log (- N 1)) (log N))))))>
4.039 * * * * [progress]: [ 26 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N))) (+ (log (+ N 1)) (- (log N))))))>
4.040 * * * * [progress]: [ 27 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N))) (posit16->real (real->posit16 (- (log (+ N 1)) (log N)))))))>
4.040 * * * * [progress]: [ 28 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (log (/ (+ N 1) N))) (- (log (+ N 1)) (log N)))))>
4.040 * * * * [progress]: [ 29 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (pow (- (log (+ N 1)) (log N)) 1)) (- (log (+ N 1)) (log N)))))>
4.040 * * * * [progress]: [ 30 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (exp (log (- (log (+ N 1)) (log N))))) (- (log (+ N 1)) (log N)))))>
4.040 * * * * [progress]: [ 31 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (log (exp (- (log (+ N 1)) (log N))))) (- (log (+ N 1)) (log N)))))>
4.040 * * * * [progress]: [ 32 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (* (* (cbrt (- (log (+ N 1)) (log N))) (cbrt (- (log (+ N 1)) (log N)))) (cbrt (- (log (+ N 1)) (log N))))) (- (log (+ N 1)) (log N)))))>
4.040 * * * * [progress]: [ 33 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (cbrt (* (* (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N))) (- (log (+ N 1)) (log N))))) (- (log (+ N 1)) (log N)))))>
4.040 * * * * [progress]: [ 34 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (* (sqrt (- (log (+ N 1)) (log N))) (sqrt (- (log (+ N 1)) (log N))))) (- (log (+ N 1)) (log N)))))>
4.040 * * * * [progress]: [ 35 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (/ (- (pow (log (+ N 1)) 3) (pow (log N) 3)) (+ (* (log (+ N 1)) (log (+ N 1))) (+ (* (log N) (log N)) (* (log (+ N 1)) (log N)))))) (- (log (+ N 1)) (log N)))))>
4.040 * * * * [progress]: [ 36 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (+ (log (+ N 1)) (- (log N)))) (- (log (+ N 1)) (log N)))))>
4.040 * * * * [progress]: [ 37 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (* 1 (- (log (+ N 1)) (log N)))) (- (log (+ N 1)) (log N)))))>
4.040 * * * * [progress]: [ 38 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (/ (- (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log N))) (+ (log (+ N 1)) (log N)))) (- (log (+ N 1)) (log N)))))>
4.040 * * * * [progress]: [ 39 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (* (+ (sqrt (log (+ N 1))) (sqrt (log N))) (- (sqrt (log (+ N 1))) (sqrt (log N))))) (- (log (+ N 1)) (log N)))))>
4.040 * * * * [progress]: [ 40 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (* 1 (- (log (+ N 1)) (log N)))) (- (log (+ N 1)) (log N)))))>
4.040 * * * * [progress]: [ 41 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (* 1 (- (log (+ N 1)) (log N)))) (- (log (+ N 1)) (log N)))))>
4.040 * * * * [progress]: [ 42 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (* 1 (- (log (+ N 1)) (log N)))) (- (log (+ N 1)) (log N)))))>
4.041 * * * * [progress]: [ 43 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (* 1 (- (log (+ N 1)) (log N)))) (- (log (+ N 1)) (log N)))))>
4.041 * * * * [progress]: [ 44 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (- (- (log (+ N 1)) (log (* (cbrt N) (cbrt N)))) (log (cbrt N)))) (- (log (+ N 1)) (log N)))))>
4.041 * * * * [progress]: [ 45 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (- (- (log (+ N 1)) (log (sqrt N))) (log (sqrt N)))) (- (log (+ N 1)) (log N)))))>
4.041 * * * * [progress]: [ 46 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (- (- (log (+ N 1)) (log 1)) (log N))) (- (log (+ N 1)) (log N)))))>
4.041 * * * * [progress]: [ 47 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (+ (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (- (log (cbrt (+ N 1))) (log N)))) (- (log (+ N 1)) (log N)))))>
4.041 * * * * [progress]: [ 48 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (+ (log (sqrt (+ N 1))) (- (log (sqrt (+ N 1))) (log N)))) (- (log (+ N 1)) (log N)))))>
4.041 * * * * [progress]: [ 49 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (+ (log 1) (- (log (+ N 1)) (log N)))) (- (log (+ N 1)) (log N)))))>
4.041 * * * * [progress]: [ 50 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (+ (log 1) (- (log (+ N 1)) (log N)))) (- (log (+ N 1)) (log N)))))>
4.041 * * * * [progress]: [ 51 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (- (log (+ (pow N 3) (pow 1 3))) (+ (log (+ (* N N) (- (* 1 1) (* N 1)))) (log N)))) (- (log (+ N 1)) (log N)))))>
4.041 * * * * [progress]: [ 52 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (- (log (- (* N N) (* 1 1))) (+ (log (- N 1)) (log N)))) (- (log (+ N 1)) (log N)))))>
4.041 * * * * [progress]: [ 53 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (+ (log (+ N 1)) (- (log N)))) (- (log (+ N 1)) (log N)))))>
4.041 * * * * [progress]: [ 54 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (posit16->real (real->posit16 (- (log (+ N 1)) (log N))))) (- (log (+ N 1)) (log N)))))>
4.041 * * * * [progress]: [ 55 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (log (/ (+ N 1) N)) (- (log (+ N 1)) (log N))) (- (log (+ N 1)) (log N)))))>
4.041 * * * * [progress]: [ 56 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (pow (- (log (+ N 1)) (log N)) 1) (- (log (+ N 1)) (log N))) (- (log (+ N 1)) (log N)))))>
4.041 * * * * [progress]: [ 57 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (exp (log (- (log (+ N 1)) (log N)))) (- (log (+ N 1)) (log N))) (- (log (+ N 1)) (log N)))))>
4.042 * * * * [progress]: [ 58 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (log (exp (- (log (+ N 1)) (log N)))) (- (log (+ N 1)) (log N))) (- (log (+ N 1)) (log N)))))>
4.042 * * * * [progress]: [ 59 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (* (* (cbrt (- (log (+ N 1)) (log N))) (cbrt (- (log (+ N 1)) (log N)))) (cbrt (- (log (+ N 1)) (log N)))) (- (log (+ N 1)) (log N))) (- (log (+ N 1)) (log N)))))>
4.042 * * * * [progress]: [ 60 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (cbrt (* (* (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N))) (- (log (+ N 1)) (log N)))) (- (log (+ N 1)) (log N))) (- (log (+ N 1)) (log N)))))>
4.042 * * * * [progress]: [ 61 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (* (sqrt (- (log (+ N 1)) (log N))) (sqrt (- (log (+ N 1)) (log N)))) (- (log (+ N 1)) (log N))) (- (log (+ N 1)) (log N)))))>
4.042 * * * * [progress]: [ 62 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (/ (- (pow (log (+ N 1)) 3) (pow (log N) 3)) (+ (* (log (+ N 1)) (log (+ N 1))) (+ (* (log N) (log N)) (* (log (+ N 1)) (log N))))) (- (log (+ N 1)) (log N))) (- (log (+ N 1)) (log N)))))>
4.042 * * * * [progress]: [ 63 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (+ (log (+ N 1)) (- (log N))) (- (log (+ N 1)) (log N))) (- (log (+ N 1)) (log N)))))>
4.042 * * * * [progress]: [ 64 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (* 1 (- (log (+ N 1)) (log N))) (- (log (+ N 1)) (log N))) (- (log (+ N 1)) (log N)))))>
4.042 * * * * [progress]: [ 65 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (/ (- (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log N))) (+ (log (+ N 1)) (log N))) (- (log (+ N 1)) (log N))) (- (log (+ N 1)) (log N)))))>
4.042 * * * * [progress]: [ 66 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (* (+ (sqrt (log (+ N 1))) (sqrt (log N))) (- (sqrt (log (+ N 1))) (sqrt (log N)))) (- (log (+ N 1)) (log N))) (- (log (+ N 1)) (log N)))))>
4.042 * * * * [progress]: [ 67 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (* 1 (- (log (+ N 1)) (log N))) (- (log (+ N 1)) (log N))) (- (log (+ N 1)) (log N)))))>
4.042 * * * * [progress]: [ 68 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (* 1 (- (log (+ N 1)) (log N))) (- (log (+ N 1)) (log N))) (- (log (+ N 1)) (log N)))))>
4.042 * * * * [progress]: [ 69 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (* 1 (- (log (+ N 1)) (log N))) (- (log (+ N 1)) (log N))) (- (log (+ N 1)) (log N)))))>
4.042 * * * * [progress]: [ 70 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (* 1 (- (log (+ N 1)) (log N))) (- (log (+ N 1)) (log N))) (- (log (+ N 1)) (log N)))))>
4.042 * * * * [progress]: [ 71 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (- (log (+ N 1)) (log (* (cbrt N) (cbrt N)))) (log (cbrt N))) (- (log (+ N 1)) (log N))) (- (log (+ N 1)) (log N)))))>
4.043 * * * * [progress]: [ 72 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (- (log (+ N 1)) (log (sqrt N))) (log (sqrt N))) (- (log (+ N 1)) (log N))) (- (log (+ N 1)) (log N)))))>
4.043 * * * * [progress]: [ 73 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (- (log (+ N 1)) (log 1)) (log N)) (- (log (+ N 1)) (log N))) (- (log (+ N 1)) (log N)))))>
4.043 * * * * [progress]: [ 74 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (+ (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (- (log (cbrt (+ N 1))) (log N))) (- (log (+ N 1)) (log N))) (- (log (+ N 1)) (log N)))))>
4.043 * * * * [progress]: [ 75 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (+ (log (sqrt (+ N 1))) (- (log (sqrt (+ N 1))) (log N))) (- (log (+ N 1)) (log N))) (- (log (+ N 1)) (log N)))))>
4.043 * * * * [progress]: [ 76 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (+ (log 1) (- (log (+ N 1)) (log N))) (- (log (+ N 1)) (log N))) (- (log (+ N 1)) (log N)))))>
4.043 * * * * [progress]: [ 77 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (+ (log 1) (- (log (+ N 1)) (log N))) (- (log (+ N 1)) (log N))) (- (log (+ N 1)) (log N)))))>
4.043 * * * * [progress]: [ 78 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log (+ (pow N 3) (pow 1 3))) (+ (log (+ (* N N) (- (* 1 1) (* N 1)))) (log N))) (- (log (+ N 1)) (log N))) (- (log (+ N 1)) (log N)))))>
4.043 * * * * [progress]: [ 79 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log (- (* N N) (* 1 1))) (+ (log (- N 1)) (log N))) (- (log (+ N 1)) (log N))) (- (log (+ N 1)) (log N)))))>
4.043 * * * * [progress]: [ 80 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (+ (log (+ N 1)) (- (log N))) (- (log (+ N 1)) (log N))) (- (log (+ N 1)) (log N)))))>
4.043 * * * * [progress]: [ 81 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (posit16->real (real->posit16 (- (log (+ N 1)) (log N)))) (- (log (+ N 1)) (log N))) (- (log (+ N 1)) (log N)))))>
4.043 * * * * [progress]: [ 82 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N))) (- (+ (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (log (cbrt (+ N 1)))) (log N)))))>
4.043 * * * * [progress]: [ 83 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N))) (- (+ (log (sqrt (+ N 1))) (log (sqrt (+ N 1)))) (log N)))))>
4.043 * * * * [progress]: [ 84 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N))) (- (+ (log 1) (log (+ N 1))) (log N)))))>
4.043 * * * * [progress]: [ 85 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N))) (- (+ (log 1) (log (+ N 1))) (log N)))))>
4.043 * * * * [progress]: [ 86 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N))) (- (- (log (+ (pow N 3) (pow 1 3))) (log (+ (* N N) (- (* 1 1) (* N 1))))) (log N)))))>
4.044 * * * * [progress]: [ 87 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N))) (- (- (log (- (* N N) (* 1 1))) (log (- N 1))) (log N)))))>
4.044 * * * * [progress]: [ 88 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N))) (- (* 1 (log (+ N 1))) (log N)))))>
4.044 * * * * [progress]: [ 89 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N))) (- (pow (log (+ N 1)) 1) (log N)))))>
4.044 * * * * [progress]: [ 90 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N))) (- (log (+ N 1)) (log N)))))>
4.044 * * * * [progress]: [ 91 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N))) (- (exp (log (log (+ N 1)))) (log N)))))>
4.044 * * * * [progress]: [ 92 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N))) (- (log (exp (log (+ N 1)))) (log N)))))>
4.044 * * * * [progress]: [ 93 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N))) (- (* (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) (cbrt (log (+ N 1)))) (log N)))))>
4.044 * * * * [progress]: [ 94 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N))) (- (cbrt (* (* (log (+ N 1)) (log (+ N 1))) (log (+ N 1)))) (log N)))))>
4.044 * * * * [progress]: [ 95 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N))) (- (* (sqrt (log (+ N 1))) (sqrt (log (+ N 1)))) (log N)))))>
4.044 * * * * [progress]: [ 96 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N))) (- (* 1 (log (+ N 1))) (log N)))))>
4.044 * * * * [progress]: [ 97 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N))) (- (posit16->real (real->posit16 (log (+ N 1)))) (log N)))))>
4.044 * * * * [progress]: [ 98 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N))) (- N (+ (log N) (* 1/2 (pow N 2)))))))>
4.044 * * * * [progress]: [ 99 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))))))>
4.044 * * * * [progress]: [ 100 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))))))>
4.044 * * * * [progress]: [ 101 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (- N (+ (log N) (* 1/2 (pow N 2))))) (- (log (+ N 1)) (log N)))))>
4.044 * * * * [progress]: [ 102 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))) (- (log (+ N 1)) (log N)))))>
4.044 * * * * [progress]: [ 103 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))) (- (log (+ N 1)) (log N)))))>
4.045 * * * * [progress]: [ 104 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- N (+ (log N) (* 1/2 (pow N 2)))) (- (log (+ N 1)) (log N))) (- (log (+ N 1)) (log N)))))>
4.045 * * * * [progress]: [ 105 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (- (log (+ N 1)) (log N))) (- (log (+ N 1)) (log N)))))>
4.045 * * * * [progress]: [ 106 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (- (log (+ N 1)) (log N))) (- (log (+ N 1)) (log N)))))>
4.045 * * * * [progress]: [ 107 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N))) (- (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) (log N)))))>
4.045 * * * * [progress]: [ 108 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N))) (- (- (/ 1 N) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ 1 N)))) (log N)))))>
4.045 * * * * [progress]: [ 109 / 109 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N))) (- (- (+ (/ 1 N) (log -1)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))) (log N)))))>
4.047 * [simplify]: Simplifying (/ (+ N 1) N), (log (- (log (+ N 1)) (log N))), (exp (- (log (+ N 1)) (log N))), (* (cbrt (- (log (+ N 1)) (log N))) (cbrt (- (log (+ N 1)) (log N)))), (cbrt (- (log (+ N 1)) (log N))), (* (* (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N))) (- (log (+ N 1)) (log N))), (sqrt (- (log (+ N 1)) (log N))), (sqrt (- (log (+ N 1)) (log N))), (- (pow (log (+ N 1)) 3) (pow (log N) 3)), (+ (* (log (+ N 1)) (log (+ N 1))) (+ (* (log N) (log N)) (* (log (+ N 1)) (log N)))), (- (log N)), (- (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log N))), (+ (log (+ N 1)) (log N)), (+ (sqrt (log (+ N 1))) (sqrt (log N))), (- (sqrt (log (+ N 1))) (sqrt (log N))), (- (log (+ N 1)) (log N)), (- (log (+ N 1)) (log N)), (- (log (+ N 1)) (log N)), (- (log (+ N 1)) (log N)), (- (log (+ N 1)) (log (* (cbrt N) (cbrt N)))), (- (log (+ N 1)) (log (sqrt N))), (- (log (+ N 1)) (log 1)), (- (log (cbrt (+ N 1))) (log N)), (- (log (sqrt (+ N 1))) (log N)), (- (log (+ N 1)) (log N)), (- (log (+ N 1)) (log N)), (+ (log (+ (* N N) (- (* 1 1) (* N 1)))) (log N)), (+ (log (- N 1)) (log N)), (- (log N)), (real->posit16 (- (log (+ N 1)) (log N))), (/ (+ N 1) N), (log (- (log (+ N 1)) (log N))), (exp (- (log (+ N 1)) (log N))), (* (cbrt (- (log (+ N 1)) (log N))) (cbrt (- (log (+ N 1)) (log N)))), (cbrt (- (log (+ N 1)) (log N))), (* (* (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N))) (- (log (+ N 1)) (log N))), (sqrt (- (log (+ N 1)) (log N))), (sqrt (- (log (+ N 1)) (log N))), (- (pow (log (+ N 1)) 3) (pow (log N) 3)), (+ (* (log (+ N 1)) (log (+ N 1))) (+ (* (log N) (log N)) (* (log (+ N 1)) (log N)))), (- (log N)), (- (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log N))), (+ (log (+ N 1)) (log N)), (+ (sqrt (log (+ N 1))) (sqrt (log N))), (- (sqrt (log (+ N 1))) (sqrt (log N))), (- (log (+ N 1)) (log N)), (- (log (+ N 1)) (log N)), (- (log (+ N 1)) (log N)), (- (log (+ N 1)) (log N)), (- (log (+ N 1)) (log (* (cbrt N) (cbrt N)))), (- (log (+ N 1)) (log (sqrt N))), (- (log (+ N 1)) (log 1)), (- (log (cbrt (+ N 1))) (log N)), (- (log (sqrt (+ N 1))) (log N)), (- (log (+ N 1)) (log N)), (- (log (+ N 1)) (log N)), (+ (log (+ (* N N) (- (* 1 1) (* N 1)))) (log N)), (+ (log (- N 1)) (log N)), (- (log N)), (real->posit16 (- (log (+ N 1)) (log N))), (/ (+ N 1) N), (log (- (log (+ N 1)) (log N))), (exp (- (log (+ N 1)) (log N))), (* (cbrt (- (log (+ N 1)) (log N))) (cbrt (- (log (+ N 1)) (log N)))), (cbrt (- (log (+ N 1)) (log N))), (* (* (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N))) (- (log (+ N 1)) (log N))), (sqrt (- (log (+ N 1)) (log N))), (sqrt (- (log (+ N 1)) (log N))), (- (pow (log (+ N 1)) 3) (pow (log N) 3)), (+ (* (log (+ N 1)) (log (+ N 1))) (+ (* (log N) (log N)) (* (log (+ N 1)) (log N)))), (- (log N)), (- (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log N))), (+ (log (+ N 1)) (log N)), (+ (sqrt (log (+ N 1))) (sqrt (log N))), (- (sqrt (log (+ N 1))) (sqrt (log N))), (- (log (+ N 1)) (log N)), (- (log (+ N 1)) (log N)), (- (log (+ N 1)) (log N)), (- (log (+ N 1)) (log N)), (- (log (+ N 1)) (log (* (cbrt N) (cbrt N)))), (- (log (+ N 1)) (log (sqrt N))), (- (log (+ N 1)) (log 1)), (- (log (cbrt (+ N 1))) (log N)), (- (log (sqrt (+ N 1))) (log N)), (- (log (+ N 1)) (log N)), (- (log (+ N 1)) (log N)), (+ (log (+ (* N N) (- (* 1 1) (* N 1)))) (log N)), (+ (log (- N 1)) (log N)), (- (log N)), (real->posit16 (- (log (+ N 1)) (log N))), (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))), (log (cbrt (+ N 1))), (log (sqrt (+ N 1))), (log (sqrt (+ N 1))), (log 1), (log (+ N 1)), (log 1), (log (+ N 1)), (log (+ (pow N 3) (pow 1 3))), (log (+ (* N N) (- (* 1 1) (* N 1)))), (log (- (* N N) (* 1 1))), (log (- N 1)), (log (+ N 1)), (log (log (+ N 1))), (exp (log (+ N 1))), (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))), (cbrt (log (+ N 1))), (* (* (log (+ N 1)) (log (+ N 1))) (log (+ N 1))), (sqrt (log (+ N 1))), (sqrt (log (+ N 1))), (real->posit16 (log (+ N 1))), (- N (+ (log N) (* 1/2 (pow N 2)))), (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))), (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))), (- N (+ (log N) (* 1/2 (pow N 2)))), (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))), (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))), (- N (+ (log N) (* 1/2 (pow N 2)))), (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))), (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))), (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))), (- (/ 1 N) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ 1 N)))), (- (+ (/ 1 N) (log -1)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N))))
4.049 * * [simplify]: iteration 1: (97 enodes)
4.104 * * [simplify]: iteration 2: (369 enodes)
4.196 * * [simplify]: iteration 3: (631 enodes)
4.439 * * [simplify]: iteration 4: (1174 enodes)
5.008 * * [simplify]: Extracting #0: cost 41 inf + 0
5.009 * * [simplify]: Extracting #1: cost 228 inf + 1
5.013 * * [simplify]: Extracting #2: cost 496 inf + 3666
5.021 * * [simplify]: Extracting #3: cost 442 inf + 23009
5.045 * * [simplify]: Extracting #4: cost 156 inf + 93517
5.088 * * [simplify]: Extracting #5: cost 10 inf + 139110
5.129 * * [simplify]: Extracting #6: cost 0 inf + 141957
5.152 * [simplify]: Simplified to (/ (+ 1 N) N), (log (- (log (+ 1 N)) (log N))), (/ (+ 1 N) N), (* (cbrt (- (log (+ 1 N)) (log N))) (cbrt (- (log (+ 1 N)) (log N)))), (cbrt (- (log (+ 1 N)) (log N))), (* (* (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N))) (- (log (+ 1 N)) (log N))), (sqrt (- (log (+ 1 N)) (log N))), (sqrt (- (log (+ 1 N)) (log N))), (- (* (log (+ 1 N)) (* (log (+ 1 N)) (log (+ 1 N)))) (* (log N) (* (log N) (log N)))), (+ (* (log N) (+ (log (+ 1 N)) (log N))) (* (log (+ 1 N)) (log (+ 1 N)))), (- (log N)), (- (* (log (+ 1 N)) (log (+ 1 N))) (* (log N) (log N))), (+ (log (+ 1 N)) (log N)), (+ (sqrt (log N)) (sqrt (log (+ 1 N)))), (- (sqrt (log (+ 1 N))) (sqrt (log N))), (- (log (+ 1 N)) (log N)), (- (log (+ 1 N)) (log N)), (- (log (+ 1 N)) (log N)), (- (log (+ 1 N)) (log N)), (- (log (+ 1 N)) (log (* (cbrt N) (cbrt N)))), (- (log (+ 1 N)) (log (sqrt N))), (log (+ 1 N)), (- (log (cbrt (+ 1 N))) (log N)), (- (log (sqrt (+ 1 N))) (log N)), (- (log (+ 1 N)) (log N)), (- (log (+ 1 N)) (log N)), (+ (log (- 1 (- N (* N N)))) (log N)), (+ (log N) (log (- N 1))), (- (log N)), (real->posit16 (- (log (+ 1 N)) (log N))), (/ (+ 1 N) N), (log (- (log (+ 1 N)) (log N))), (/ (+ 1 N) N), (* (cbrt (- (log (+ 1 N)) (log N))) (cbrt (- (log (+ 1 N)) (log N)))), (cbrt (- (log (+ 1 N)) (log N))), (* (* (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N))) (- (log (+ 1 N)) (log N))), (sqrt (- (log (+ 1 N)) (log N))), (sqrt (- (log (+ 1 N)) (log N))), (- (* (log (+ 1 N)) (* (log (+ 1 N)) (log (+ 1 N)))) (* (log N) (* (log N) (log N)))), (+ (* (log N) (+ (log (+ 1 N)) (log N))) (* (log (+ 1 N)) (log (+ 1 N)))), (- (log N)), (- (* (log (+ 1 N)) (log (+ 1 N))) (* (log N) (log N))), (+ (log (+ 1 N)) (log N)), (+ (sqrt (log N)) (sqrt (log (+ 1 N)))), (- (sqrt (log (+ 1 N))) (sqrt (log N))), (- (log (+ 1 N)) (log N)), (- (log (+ 1 N)) (log N)), (- (log (+ 1 N)) (log N)), (- (log (+ 1 N)) (log N)), (- (log (+ 1 N)) (log (* (cbrt N) (cbrt N)))), (- (log (+ 1 N)) (log (sqrt N))), (log (+ 1 N)), (- (log (cbrt (+ 1 N))) (log N)), (- (log (sqrt (+ 1 N))) (log N)), (- (log (+ 1 N)) (log N)), (- (log (+ 1 N)) (log N)), (+ (log (- 1 (- N (* N N)))) (log N)), (+ (log N) (log (- N 1))), (- (log N)), (real->posit16 (- (log (+ 1 N)) (log N))), (/ (+ 1 N) N), (log (- (log (+ 1 N)) (log N))), (/ (+ 1 N) N), (* (cbrt (- (log (+ 1 N)) (log N))) (cbrt (- (log (+ 1 N)) (log N)))), (cbrt (- (log (+ 1 N)) (log N))), (* (* (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N))) (- (log (+ 1 N)) (log N))), (sqrt (- (log (+ 1 N)) (log N))), (sqrt (- (log (+ 1 N)) (log N))), (- (* (log (+ 1 N)) (* (log (+ 1 N)) (log (+ 1 N)))) (* (log N) (* (log N) (log N)))), (+ (* (log N) (+ (log (+ 1 N)) (log N))) (* (log (+ 1 N)) (log (+ 1 N)))), (- (log N)), (- (* (log (+ 1 N)) (log (+ 1 N))) (* (log N) (log N))), (+ (log (+ 1 N)) (log N)), (+ (sqrt (log N)) (sqrt (log (+ 1 N)))), (- (sqrt (log (+ 1 N))) (sqrt (log N))), (- (log (+ 1 N)) (log N)), (- (log (+ 1 N)) (log N)), (- (log (+ 1 N)) (log N)), (- (log (+ 1 N)) (log N)), (- (log (+ 1 N)) (log (* (cbrt N) (cbrt N)))), (- (log (+ 1 N)) (log (sqrt N))), (log (+ 1 N)), (- (log (cbrt (+ 1 N))) (log N)), (- (log (sqrt (+ 1 N))) (log N)), (- (log (+ 1 N)) (log N)), (- (log (+ 1 N)) (log N)), (+ (log (- 1 (- N (* N N)))) (log N)), (+ (log N) (log (- N 1))), (- (log N)), (real->posit16 (- (log (+ 1 N)) (log N))), (+ (log (cbrt (+ 1 N))) (log (cbrt (+ 1 N)))), (log (cbrt (+ 1 N))), (log (sqrt (+ 1 N))), (log (sqrt (+ 1 N))), 0, (log (+ 1 N)), 0, (log (+ 1 N)), (log (+ 1 (* N (* N N)))), (log (- 1 (- N (* N N)))), (log (- (* N N) 1)), (log (- N 1)), (log (+ 1 N)), (log (log (+ 1 N))), (+ 1 N), (* (cbrt (log (+ 1 N))) (cbrt (log (+ 1 N)))), (cbrt (log (+ 1 N))), (* (log (+ 1 N)) (* (log (+ 1 N)) (log (+ 1 N)))), (sqrt (log (+ 1 N))), (sqrt (log (+ 1 N))), (real->posit16 (log (+ 1 N))), (- (- N (log N)) (* (* N N) 1/2)), (+ (/ 1/3 (* N (* N N))) (- (/ 1 N) (/ 1/2 (* N N)))), (+ (/ 1/3 (* N (* N N))) (- (/ 1 N) (/ 1/2 (* N N)))), (- (- N (log N)) (* (* N N) 1/2)), (+ (/ 1/3 (* N (* N N))) (- (/ 1 N) (/ 1/2 (* N N)))), (+ (/ 1/3 (* N (* N N))) (- (/ 1 N) (/ 1/2 (* N N)))), (- (- N (log N)) (* (* N N) 1/2)), (+ (/ 1/3 (* N (* N N))) (- (/ 1 N) (/ 1/2 (* N N)))), (+ (/ 1/3 (* N (* N N))) (- (/ 1 N) (/ 1/2 (* N N)))), (+ (* N (* N (+ (* N 1/3) -1/2))) N), (- (+ (/ 1 N) (log N)) (/ 1/2 (* N N))), (- (+ (/ 1 N) (log N)) (/ 1/2 (* N N)))
5.165 * * * [progress]: adding candidates to table
6.076 * * [progress]: iteration 4 / 4
6.076 * * * [progress]: picking best candidate
6.080 * * * * [pick]: Picked  #<alt (λ (N) (- (/ (* 1/3 (/ 1 N)) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N))))>
6.080 * * * [progress]: localizing error
6.122 * * * [progress]: generating rewritten candidates
6.122 * * * * [progress]: [ 1 / 4 ] rewriting at (2)
6.210 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1)
6.219 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1)
6.225 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1)
6.244 * * * [progress]: generating series expansions
6.244 * * * * [progress]: [ 1 / 4 ] generating series at (2)
6.245 * [backup-simplify]: Simplify (- (/ (* 1/3 (/ 1 N)) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))
6.245 * [approximate]: Taking taylor expansion of (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) in (N) around 0
6.245 * [taylor]: Taking taylor expansion of (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) in N
6.245 * [taylor]: Taking taylor expansion of (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) in N
6.245 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N
6.245 * [taylor]: Taking taylor expansion of 1/3 in N
6.245 * [backup-simplify]: Simplify 1/3 into 1/3
6.245 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N
6.245 * [taylor]: Taking taylor expansion of (pow N 3) in N
6.245 * [taylor]: Taking taylor expansion of N in N
6.245 * [backup-simplify]: Simplify 0 into 0
6.245 * [backup-simplify]: Simplify 1 into 1
6.247 * [backup-simplify]: Simplify (* 1 1) into 1
6.247 * [backup-simplify]: Simplify (* 1 1) into 1
6.247 * [backup-simplify]: Simplify (/ 1 1) into 1
6.247 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.247 * [taylor]: Taking taylor expansion of N in N
6.248 * [backup-simplify]: Simplify 0 into 0
6.248 * [backup-simplify]: Simplify 1 into 1
6.248 * [backup-simplify]: Simplify (/ 1 1) into 1
6.248 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N
6.248 * [taylor]: Taking taylor expansion of 1/2 in N
6.248 * [backup-simplify]: Simplify 1/2 into 1/2
6.248 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N
6.248 * [taylor]: Taking taylor expansion of (pow N 2) in N
6.248 * [taylor]: Taking taylor expansion of N in N
6.248 * [backup-simplify]: Simplify 0 into 0
6.248 * [backup-simplify]: Simplify 1 into 1
6.249 * [backup-simplify]: Simplify (* 1 1) into 1
6.249 * [backup-simplify]: Simplify (/ 1 1) into 1
6.249 * [taylor]: Taking taylor expansion of (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) in N
6.249 * [taylor]: Taking taylor expansion of (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) in N
6.249 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N
6.249 * [taylor]: Taking taylor expansion of 1/3 in N
6.249 * [backup-simplify]: Simplify 1/3 into 1/3
6.249 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N
6.249 * [taylor]: Taking taylor expansion of (pow N 3) in N
6.250 * [taylor]: Taking taylor expansion of N in N
6.250 * [backup-simplify]: Simplify 0 into 0
6.250 * [backup-simplify]: Simplify 1 into 1
6.250 * [backup-simplify]: Simplify (* 1 1) into 1
6.250 * [backup-simplify]: Simplify (* 1 1) into 1
6.251 * [backup-simplify]: Simplify (/ 1 1) into 1
6.251 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.251 * [taylor]: Taking taylor expansion of N in N
6.251 * [backup-simplify]: Simplify 0 into 0
6.251 * [backup-simplify]: Simplify 1 into 1
6.251 * [backup-simplify]: Simplify (/ 1 1) into 1
6.251 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N
6.251 * [taylor]: Taking taylor expansion of 1/2 in N
6.251 * [backup-simplify]: Simplify 1/2 into 1/2
6.251 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N
6.251 * [taylor]: Taking taylor expansion of (pow N 2) in N
6.251 * [taylor]: Taking taylor expansion of N in N
6.251 * [backup-simplify]: Simplify 0 into 0
6.251 * [backup-simplify]: Simplify 1 into 1
6.252 * [backup-simplify]: Simplify (* 1 1) into 1
6.252 * [backup-simplify]: Simplify (/ 1 1) into 1
6.253 * [backup-simplify]: Simplify (* 1/3 1) into 1/3
6.253 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3
6.254 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3
6.254 * [backup-simplify]: Simplify 1/3 into 1/3
6.255 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.255 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.257 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0
6.257 * [backup-simplify]: Simplify (+ 0 0) into 0
6.258 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
6.258 * [backup-simplify]: Simplify (- 1/2) into -1/2
6.258 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
6.258 * [backup-simplify]: Simplify -1/2 into -1/2
6.259 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.260 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.262 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0
6.263 * [backup-simplify]: Simplify (+ 0 1) into 1
6.263 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.265 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.265 * [backup-simplify]: Simplify (- 0) into 0
6.266 * [backup-simplify]: Simplify (+ 1 0) into 1
6.266 * [backup-simplify]: Simplify 1 into 1
6.266 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1/3 (pow (/ 1 N) 3)))) into (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2))))
6.266 * [backup-simplify]: Simplify (- (/ (* 1/3 (/ 1 (/ 1 N))) (* (/ 1 N) (/ 1 N))) (- (/ 1/2 (* (/ 1 N) (/ 1 N))) (/ 1 (/ 1 N)))) into (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2)))
6.267 * [approximate]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in (N) around 0
6.267 * [taylor]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in N
6.267 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N
6.267 * [taylor]: Taking taylor expansion of N in N
6.267 * [backup-simplify]: Simplify 0 into 0
6.267 * [backup-simplify]: Simplify 1 into 1
6.267 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N
6.267 * [taylor]: Taking taylor expansion of 1/3 in N
6.267 * [backup-simplify]: Simplify 1/3 into 1/3
6.267 * [taylor]: Taking taylor expansion of (pow N 3) in N
6.267 * [taylor]: Taking taylor expansion of N in N
6.267 * [backup-simplify]: Simplify 0 into 0
6.267 * [backup-simplify]: Simplify 1 into 1
6.267 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N
6.267 * [taylor]: Taking taylor expansion of 1/2 in N
6.267 * [backup-simplify]: Simplify 1/2 into 1/2
6.267 * [taylor]: Taking taylor expansion of (pow N 2) in N
6.267 * [taylor]: Taking taylor expansion of N in N
6.267 * [backup-simplify]: Simplify 0 into 0
6.267 * [backup-simplify]: Simplify 1 into 1
6.267 * [taylor]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in N
6.267 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N
6.267 * [taylor]: Taking taylor expansion of N in N
6.267 * [backup-simplify]: Simplify 0 into 0
6.267 * [backup-simplify]: Simplify 1 into 1
6.267 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N
6.267 * [taylor]: Taking taylor expansion of 1/3 in N
6.267 * [backup-simplify]: Simplify 1/3 into 1/3
6.267 * [taylor]: Taking taylor expansion of (pow N 3) in N
6.267 * [taylor]: Taking taylor expansion of N in N
6.267 * [backup-simplify]: Simplify 0 into 0
6.267 * [backup-simplify]: Simplify 1 into 1
6.267 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N
6.267 * [taylor]: Taking taylor expansion of 1/2 in N
6.268 * [backup-simplify]: Simplify 1/2 into 1/2
6.268 * [taylor]: Taking taylor expansion of (pow N 2) in N
6.268 * [taylor]: Taking taylor expansion of N in N
6.268 * [backup-simplify]: Simplify 0 into 0
6.268 * [backup-simplify]: Simplify 1 into 1
6.268 * [backup-simplify]: Simplify (+ 0 0) into 0
6.268 * [backup-simplify]: Simplify (+ 0 0) into 0
6.268 * [backup-simplify]: Simplify 0 into 0
6.269 * [backup-simplify]: Simplify (+ 1 0) into 1
6.269 * [backup-simplify]: Simplify (+ 1 0) into 1
6.269 * [backup-simplify]: Simplify 1 into 1
6.270 * [backup-simplify]: Simplify (+ 0 0) into 0
6.270 * [backup-simplify]: Simplify (* 1 1) into 1
6.271 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
6.271 * [backup-simplify]: Simplify (- 1/2) into -1/2
6.271 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
6.271 * [backup-simplify]: Simplify -1/2 into -1/2
6.272 * [backup-simplify]: Simplify (* 1 1) into 1
6.272 * [backup-simplify]: Simplify (* 1 1) into 1
6.273 * [backup-simplify]: Simplify (* 1/3 1) into 1/3
6.273 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3
6.274 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.275 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.275 * [backup-simplify]: Simplify (- 0) into 0
6.276 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3
6.276 * [backup-simplify]: Simplify 1/3 into 1/3
6.276 * [backup-simplify]: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))
6.277 * [backup-simplify]: Simplify (- (/ (* 1/3 (/ 1 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1/2 (* (/ 1 (- N)) (/ 1 (- N)))) (/ 1 (/ 1 (- N))))) into (- (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))))
6.277 * [approximate]: Taking taylor expansion of (- (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3))))) in (N) around 0
6.277 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3))))) in N
6.277 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))) in N
6.277 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N
6.277 * [taylor]: Taking taylor expansion of 1/2 in N
6.277 * [backup-simplify]: Simplify 1/2 into 1/2
6.277 * [taylor]: Taking taylor expansion of (pow N 2) in N
6.277 * [taylor]: Taking taylor expansion of N in N
6.277 * [backup-simplify]: Simplify 0 into 0
6.277 * [backup-simplify]: Simplify 1 into 1
6.277 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N
6.277 * [taylor]: Taking taylor expansion of N in N
6.277 * [backup-simplify]: Simplify 0 into 0
6.277 * [backup-simplify]: Simplify 1 into 1
6.277 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N
6.277 * [taylor]: Taking taylor expansion of 1/3 in N
6.277 * [backup-simplify]: Simplify 1/3 into 1/3
6.277 * [taylor]: Taking taylor expansion of (pow N 3) in N
6.277 * [taylor]: Taking taylor expansion of N in N
6.277 * [backup-simplify]: Simplify 0 into 0
6.277 * [backup-simplify]: Simplify 1 into 1
6.277 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3))))) in N
6.278 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))) in N
6.278 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N
6.278 * [taylor]: Taking taylor expansion of 1/2 in N
6.278 * [backup-simplify]: Simplify 1/2 into 1/2
6.278 * [taylor]: Taking taylor expansion of (pow N 2) in N
6.278 * [taylor]: Taking taylor expansion of N in N
6.278 * [backup-simplify]: Simplify 0 into 0
6.278 * [backup-simplify]: Simplify 1 into 1
6.278 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N
6.278 * [taylor]: Taking taylor expansion of N in N
6.278 * [backup-simplify]: Simplify 0 into 0
6.278 * [backup-simplify]: Simplify 1 into 1
6.278 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N
6.278 * [taylor]: Taking taylor expansion of 1/3 in N
6.278 * [backup-simplify]: Simplify 1/3 into 1/3
6.278 * [taylor]: Taking taylor expansion of (pow N 3) in N
6.278 * [taylor]: Taking taylor expansion of N in N
6.278 * [backup-simplify]: Simplify 0 into 0
6.278 * [backup-simplify]: Simplify 1 into 1
6.279 * [backup-simplify]: Simplify (+ 0 0) into 0
6.279 * [backup-simplify]: Simplify (+ 0 0) into 0
6.280 * [backup-simplify]: Simplify (- 0) into 0
6.280 * [backup-simplify]: Simplify 0 into 0
6.280 * [backup-simplify]: Simplify (+ 1 0) into 1
6.281 * [backup-simplify]: Simplify (+ 0 1) into 1
6.281 * [backup-simplify]: Simplify (- 1) into -1
6.281 * [backup-simplify]: Simplify -1 into -1
6.282 * [backup-simplify]: Simplify (* 1 1) into 1
6.282 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
6.282 * [backup-simplify]: Simplify (+ 0 0) into 0
6.283 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
6.283 * [backup-simplify]: Simplify (- 1/2) into -1/2
6.283 * [backup-simplify]: Simplify -1/2 into -1/2
6.284 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.285 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.285 * [backup-simplify]: Simplify (* 1 1) into 1
6.285 * [backup-simplify]: Simplify (* 1 1) into 1
6.286 * [backup-simplify]: Simplify (* 1/3 1) into 1/3
6.286 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3
6.287 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3
6.287 * [backup-simplify]: Simplify (- 1/3) into -1/3
6.287 * [backup-simplify]: Simplify -1/3 into -1/3
6.288 * [backup-simplify]: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))
6.288 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1)
6.288 * [backup-simplify]: Simplify (* 1/3 (/ 1 N)) into (/ 1/3 N)
6.288 * [approximate]: Taking taylor expansion of (/ 1/3 N) in (N) around 0
6.288 * [taylor]: Taking taylor expansion of (/ 1/3 N) in N
6.288 * [taylor]: Taking taylor expansion of 1/3 in N
6.288 * [backup-simplify]: Simplify 1/3 into 1/3
6.288 * [taylor]: Taking taylor expansion of N in N
6.288 * [backup-simplify]: Simplify 0 into 0
6.288 * [backup-simplify]: Simplify 1 into 1
6.289 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3
6.289 * [taylor]: Taking taylor expansion of (/ 1/3 N) in N
6.289 * [taylor]: Taking taylor expansion of 1/3 in N
6.289 * [backup-simplify]: Simplify 1/3 into 1/3
6.289 * [taylor]: Taking taylor expansion of N in N
6.289 * [backup-simplify]: Simplify 0 into 0
6.289 * [backup-simplify]: Simplify 1 into 1
6.289 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3
6.289 * [backup-simplify]: Simplify 1/3 into 1/3
6.290 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0
6.290 * [backup-simplify]: Simplify 0 into 0
6.291 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.291 * [backup-simplify]: Simplify 0 into 0
6.296 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.296 * [backup-simplify]: Simplify 0 into 0
6.297 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.297 * [backup-simplify]: Simplify 0 into 0
6.298 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.298 * [backup-simplify]: Simplify 0 into 0
6.299 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.299 * [backup-simplify]: Simplify 0 into 0
6.300 * [backup-simplify]: Simplify (* 1/3 (/ 1 N)) into (/ 1/3 N)
6.300 * [backup-simplify]: Simplify (* 1/3 (/ 1 (/ 1 N))) into (* 1/3 N)
6.300 * [approximate]: Taking taylor expansion of (* 1/3 N) in (N) around 0
6.300 * [taylor]: Taking taylor expansion of (* 1/3 N) in N
6.300 * [taylor]: Taking taylor expansion of 1/3 in N
6.300 * [backup-simplify]: Simplify 1/3 into 1/3
6.300 * [taylor]: Taking taylor expansion of N in N
6.300 * [backup-simplify]: Simplify 0 into 0
6.300 * [backup-simplify]: Simplify 1 into 1
6.300 * [taylor]: Taking taylor expansion of (* 1/3 N) in N
6.300 * [taylor]: Taking taylor expansion of 1/3 in N
6.300 * [backup-simplify]: Simplify 1/3 into 1/3
6.300 * [taylor]: Taking taylor expansion of N in N
6.300 * [backup-simplify]: Simplify 0 into 0
6.300 * [backup-simplify]: Simplify 1 into 1
6.301 * [backup-simplify]: Simplify (* 1/3 0) into 0
6.301 * [backup-simplify]: Simplify 0 into 0
6.301 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3
6.301 * [backup-simplify]: Simplify 1/3 into 1/3
6.303 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 1) (* 0 0))) into 0
6.303 * [backup-simplify]: Simplify 0 into 0
6.304 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
6.304 * [backup-simplify]: Simplify 0 into 0
6.305 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
6.305 * [backup-simplify]: Simplify 0 into 0
6.307 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
6.307 * [backup-simplify]: Simplify 0 into 0
6.309 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0
6.309 * [backup-simplify]: Simplify 0 into 0
6.311 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0
6.311 * [backup-simplify]: Simplify 0 into 0
6.311 * [backup-simplify]: Simplify (* 1/3 (/ 1 N)) into (/ 1/3 N)
6.311 * [backup-simplify]: Simplify (* 1/3 (/ 1 (/ 1 (- N)))) into (* -1/3 N)
6.311 * [approximate]: Taking taylor expansion of (* -1/3 N) in (N) around 0
6.311 * [taylor]: Taking taylor expansion of (* -1/3 N) in N
6.311 * [taylor]: Taking taylor expansion of -1/3 in N
6.311 * [backup-simplify]: Simplify -1/3 into -1/3
6.311 * [taylor]: Taking taylor expansion of N in N
6.311 * [backup-simplify]: Simplify 0 into 0
6.311 * [backup-simplify]: Simplify 1 into 1
6.311 * [taylor]: Taking taylor expansion of (* -1/3 N) in N
6.311 * [taylor]: Taking taylor expansion of -1/3 in N
6.312 * [backup-simplify]: Simplify -1/3 into -1/3
6.312 * [taylor]: Taking taylor expansion of N in N
6.312 * [backup-simplify]: Simplify 0 into 0
6.312 * [backup-simplify]: Simplify 1 into 1
6.312 * [backup-simplify]: Simplify (* -1/3 0) into 0
6.312 * [backup-simplify]: Simplify 0 into 0
6.313 * [backup-simplify]: Simplify (+ (* -1/3 1) (* 0 0)) into -1/3
6.313 * [backup-simplify]: Simplify -1/3 into -1/3
6.314 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 1) (* 0 0))) into 0
6.314 * [backup-simplify]: Simplify 0 into 0
6.316 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
6.316 * [backup-simplify]: Simplify 0 into 0
6.317 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
6.317 * [backup-simplify]: Simplify 0 into 0
6.319 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
6.319 * [backup-simplify]: Simplify 0 into 0
6.320 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0
6.320 * [backup-simplify]: Simplify 0 into 0
6.322 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0
6.322 * [backup-simplify]: Simplify 0 into 0
6.322 * [backup-simplify]: Simplify (* -1/3 (/ 1 (- N))) into (/ 1/3 N)
6.322 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1)
6.323 * [backup-simplify]: Simplify (/ 1/2 (* N N)) into (/ 1/2 (pow N 2))
6.323 * [approximate]: Taking taylor expansion of (/ 1/2 (pow N 2)) in (N) around 0
6.323 * [taylor]: Taking taylor expansion of (/ 1/2 (pow N 2)) in N
6.323 * [taylor]: Taking taylor expansion of 1/2 in N
6.323 * [backup-simplify]: Simplify 1/2 into 1/2
6.323 * [taylor]: Taking taylor expansion of (pow N 2) in N
6.323 * [taylor]: Taking taylor expansion of N in N
6.323 * [backup-simplify]: Simplify 0 into 0
6.323 * [backup-simplify]: Simplify 1 into 1
6.324 * [backup-simplify]: Simplify (* 1 1) into 1
6.324 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.324 * [taylor]: Taking taylor expansion of (/ 1/2 (pow N 2)) in N
6.324 * [taylor]: Taking taylor expansion of 1/2 in N
6.324 * [backup-simplify]: Simplify 1/2 into 1/2
6.324 * [taylor]: Taking taylor expansion of (pow N 2) in N
6.324 * [taylor]: Taking taylor expansion of N in N
6.324 * [backup-simplify]: Simplify 0 into 0
6.324 * [backup-simplify]: Simplify 1 into 1
6.325 * [backup-simplify]: Simplify (* 1 1) into 1
6.325 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.325 * [backup-simplify]: Simplify 1/2 into 1/2
6.326 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.327 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.327 * [backup-simplify]: Simplify 0 into 0
6.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.329 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.329 * [backup-simplify]: Simplify 0 into 0
6.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.331 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.331 * [backup-simplify]: Simplify 0 into 0
6.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.334 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.334 * [backup-simplify]: Simplify 0 into 0
6.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
6.336 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.336 * [backup-simplify]: Simplify 0 into 0
6.338 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
6.339 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.339 * [backup-simplify]: Simplify 0 into 0
6.339 * [backup-simplify]: Simplify (* 1/2 (pow (/ 1 N) 2)) into (/ 1/2 (pow N 2))
6.339 * [backup-simplify]: Simplify (/ 1/2 (* (/ 1 N) (/ 1 N))) into (* 1/2 (pow N 2))
6.339 * [approximate]: Taking taylor expansion of (* 1/2 (pow N 2)) in (N) around 0
6.339 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N
6.340 * [taylor]: Taking taylor expansion of 1/2 in N
6.340 * [backup-simplify]: Simplify 1/2 into 1/2
6.340 * [taylor]: Taking taylor expansion of (pow N 2) in N
6.340 * [taylor]: Taking taylor expansion of N in N
6.340 * [backup-simplify]: Simplify 0 into 0
6.340 * [backup-simplify]: Simplify 1 into 1
6.340 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N
6.340 * [taylor]: Taking taylor expansion of 1/2 in N
6.340 * [backup-simplify]: Simplify 1/2 into 1/2
6.340 * [taylor]: Taking taylor expansion of (pow N 2) in N
6.340 * [taylor]: Taking taylor expansion of N in N
6.340 * [backup-simplify]: Simplify 0 into 0
6.340 * [backup-simplify]: Simplify 1 into 1
6.340 * [backup-simplify]: Simplify (* 1 1) into 1
6.341 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
6.341 * [backup-simplify]: Simplify 1/2 into 1/2
6.341 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.342 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.342 * [backup-simplify]: Simplify 0 into 0
6.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.344 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
6.344 * [backup-simplify]: Simplify 0 into 0
6.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.347 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.347 * [backup-simplify]: Simplify 0 into 0
6.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.349 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.349 * [backup-simplify]: Simplify 0 into 0
6.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
6.352 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
6.352 * [backup-simplify]: Simplify 0 into 0
6.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
6.355 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
6.356 * [backup-simplify]: Simplify 0 into 0
6.356 * [backup-simplify]: Simplify (* 1/2 (pow (/ 1 N) 2)) into (/ 1/2 (pow N 2))
6.356 * [backup-simplify]: Simplify (/ 1/2 (* (/ 1 (- N)) (/ 1 (- N)))) into (* 1/2 (pow N 2))
6.356 * [approximate]: Taking taylor expansion of (* 1/2 (pow N 2)) in (N) around 0
6.356 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N
6.356 * [taylor]: Taking taylor expansion of 1/2 in N
6.356 * [backup-simplify]: Simplify 1/2 into 1/2
6.356 * [taylor]: Taking taylor expansion of (pow N 2) in N
6.356 * [taylor]: Taking taylor expansion of N in N
6.356 * [backup-simplify]: Simplify 0 into 0
6.356 * [backup-simplify]: Simplify 1 into 1
6.356 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N
6.356 * [taylor]: Taking taylor expansion of 1/2 in N
6.356 * [backup-simplify]: Simplify 1/2 into 1/2
6.356 * [taylor]: Taking taylor expansion of (pow N 2) in N
6.356 * [taylor]: Taking taylor expansion of N in N
6.356 * [backup-simplify]: Simplify 0 into 0
6.356 * [backup-simplify]: Simplify 1 into 1
6.357 * [backup-simplify]: Simplify (* 1 1) into 1
6.357 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
6.357 * [backup-simplify]: Simplify 1/2 into 1/2
6.358 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.359 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.359 * [backup-simplify]: Simplify 0 into 0
6.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.361 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
6.361 * [backup-simplify]: Simplify 0 into 0
6.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.363 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.363 * [backup-simplify]: Simplify 0 into 0
6.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.366 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.366 * [backup-simplify]: Simplify 0 into 0
6.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
6.369 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
6.369 * [backup-simplify]: Simplify 0 into 0
6.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
6.372 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
6.372 * [backup-simplify]: Simplify 0 into 0
6.372 * [backup-simplify]: Simplify (* 1/2 (pow (/ 1 (- N)) 2)) into (/ 1/2 (pow N 2))
6.372 * * * * [progress]: [ 4 / 4 ] generating series at (2 1)
6.372 * [backup-simplify]: Simplify (/ (* 1/3 (/ 1 N)) (* N N)) into (/ 1/3 (pow N 3))
6.372 * [approximate]: Taking taylor expansion of (/ 1/3 (pow N 3)) in (N) around 0
6.372 * [taylor]: Taking taylor expansion of (/ 1/3 (pow N 3)) in N
6.372 * [taylor]: Taking taylor expansion of 1/3 in N
6.372 * [backup-simplify]: Simplify 1/3 into 1/3
6.372 * [taylor]: Taking taylor expansion of (pow N 3) in N
6.373 * [taylor]: Taking taylor expansion of N in N
6.373 * [backup-simplify]: Simplify 0 into 0
6.373 * [backup-simplify]: Simplify 1 into 1
6.373 * [backup-simplify]: Simplify (* 1 1) into 1
6.373 * [backup-simplify]: Simplify (* 1 1) into 1
6.374 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3
6.374 * [taylor]: Taking taylor expansion of (/ 1/3 (pow N 3)) in N
6.374 * [taylor]: Taking taylor expansion of 1/3 in N
6.374 * [backup-simplify]: Simplify 1/3 into 1/3
6.374 * [taylor]: Taking taylor expansion of (pow N 3) in N
6.374 * [taylor]: Taking taylor expansion of N in N
6.374 * [backup-simplify]: Simplify 0 into 0
6.374 * [backup-simplify]: Simplify 1 into 1
6.375 * [backup-simplify]: Simplify (* 1 1) into 1
6.375 * [backup-simplify]: Simplify (* 1 1) into 1
6.375 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3
6.376 * [backup-simplify]: Simplify 1/3 into 1/3
6.376 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.377 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.378 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0
6.378 * [backup-simplify]: Simplify 0 into 0
6.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.380 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.381 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.381 * [backup-simplify]: Simplify 0 into 0
6.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.384 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.384 * [backup-simplify]: Simplify 0 into 0
6.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.388 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.388 * [backup-simplify]: Simplify 0 into 0
6.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
6.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
6.392 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.392 * [backup-simplify]: Simplify 0 into 0
6.394 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
6.395 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
6.396 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.396 * [backup-simplify]: Simplify 0 into 0
6.396 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 N) 3)) into (/ 1/3 (pow N 3))
6.397 * [backup-simplify]: Simplify (/ (* 1/3 (/ 1 (/ 1 N))) (* (/ 1 N) (/ 1 N))) into (* 1/3 (pow N 3))
6.397 * [approximate]: Taking taylor expansion of (* 1/3 (pow N 3)) in (N) around 0
6.397 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N
6.397 * [taylor]: Taking taylor expansion of 1/3 in N
6.397 * [backup-simplify]: Simplify 1/3 into 1/3
6.397 * [taylor]: Taking taylor expansion of (pow N 3) in N
6.397 * [taylor]: Taking taylor expansion of N in N
6.397 * [backup-simplify]: Simplify 0 into 0
6.397 * [backup-simplify]: Simplify 1 into 1
6.397 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N
6.397 * [taylor]: Taking taylor expansion of 1/3 in N
6.397 * [backup-simplify]: Simplify 1/3 into 1/3
6.397 * [taylor]: Taking taylor expansion of (pow N 3) in N
6.397 * [taylor]: Taking taylor expansion of N in N
6.397 * [backup-simplify]: Simplify 0 into 0
6.397 * [backup-simplify]: Simplify 1 into 1
6.398 * [backup-simplify]: Simplify (* 1 1) into 1
6.398 * [backup-simplify]: Simplify (* 1 1) into 1
6.398 * [backup-simplify]: Simplify (* 1/3 1) into 1/3
6.398 * [backup-simplify]: Simplify 1/3 into 1/3
6.399 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.400 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.401 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0
6.401 * [backup-simplify]: Simplify 0 into 0
6.402 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.403 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.404 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0
6.404 * [backup-simplify]: Simplify 0 into 0
6.405 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.406 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.407 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.407 * [backup-simplify]: Simplify 0 into 0
6.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.410 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.411 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.411 * [backup-simplify]: Simplify 0 into 0
6.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
6.414 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
6.416 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
6.416 * [backup-simplify]: Simplify 0 into 0
6.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
6.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
6.421 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
6.421 * [backup-simplify]: Simplify 0 into 0
6.421 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 N) 3)) into (/ 1/3 (pow N 3))
6.421 * [backup-simplify]: Simplify (/ (* 1/3 (/ 1 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N)))) into (* -1/3 (pow N 3))
6.421 * [approximate]: Taking taylor expansion of (* -1/3 (pow N 3)) in (N) around 0
6.421 * [taylor]: Taking taylor expansion of (* -1/3 (pow N 3)) in N
6.421 * [taylor]: Taking taylor expansion of -1/3 in N
6.421 * [backup-simplify]: Simplify -1/3 into -1/3
6.421 * [taylor]: Taking taylor expansion of (pow N 3) in N
6.421 * [taylor]: Taking taylor expansion of N in N
6.422 * [backup-simplify]: Simplify 0 into 0
6.422 * [backup-simplify]: Simplify 1 into 1
6.422 * [taylor]: Taking taylor expansion of (* -1/3 (pow N 3)) in N
6.422 * [taylor]: Taking taylor expansion of -1/3 in N
6.422 * [backup-simplify]: Simplify -1/3 into -1/3
6.422 * [taylor]: Taking taylor expansion of (pow N 3) in N
6.422 * [taylor]: Taking taylor expansion of N in N
6.422 * [backup-simplify]: Simplify 0 into 0
6.422 * [backup-simplify]: Simplify 1 into 1
6.422 * [backup-simplify]: Simplify (* 1 1) into 1
6.423 * [backup-simplify]: Simplify (* 1 1) into 1
6.423 * [backup-simplify]: Simplify (* -1/3 1) into -1/3
6.423 * [backup-simplify]: Simplify -1/3 into -1/3
6.424 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.425 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.425 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 1)) into 0
6.425 * [backup-simplify]: Simplify 0 into 0
6.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.428 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 1))) into 0
6.428 * [backup-simplify]: Simplify 0 into 0
6.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.431 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.431 * [backup-simplify]: Simplify 0 into 0
6.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.436 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.436 * [backup-simplify]: Simplify 0 into 0
6.437 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
6.439 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
6.440 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
6.440 * [backup-simplify]: Simplify 0 into 0
6.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
6.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
6.446 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
6.446 * [backup-simplify]: Simplify 0 into 0
6.446 * [backup-simplify]: Simplify (* -1/3 (pow (/ 1 (- N)) 3)) into (/ 1/3 (pow N 3))
6.446 * * * [progress]: simplifying candidates
6.446 * * * * [progress]: [ 1 / 127 ] simplifiying candidate #<alt (λ (N) (log (/ (exp (/ (* 1/3 (/ 1 N)) (* N N))) (/ (exp (/ 1/2 (* N N))) (exp (/ 1 N))))))>
6.446 * * * * [progress]: [ 2 / 127 ] simplifiying candidate #<alt (λ (N) (log (/ (exp (/ (* 1/3 (/ 1 N)) (* N N))) (exp (- (/ 1/2 (* N N)) (/ 1 N))))))>
6.446 * * * * [progress]: [ 3 / 127 ] simplifiying candidate #<alt (λ (N) (pow (- (/ (* 1/3 (/ 1 N)) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N))) 1))>
6.446 * * * * [progress]: [ 4 / 127 ] simplifiying candidate #<alt (λ (N) (exp (log (- (/ (* 1/3 (/ 1 N)) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N))))))>
6.446 * * * * [progress]: [ 5 / 127 ] simplifiying candidate #<alt (λ (N) (log (exp (- (/ (* 1/3 (/ 1 N)) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N))))))>
6.446 * * * * [progress]: [ 6 / 127 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (- (/ (* 1/3 (/ 1 N)) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N)))) (cbrt (- (/ (* 1/3 (/ 1 N)) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N))))) (cbrt (- (/ (* 1/3 (/ 1 N)) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N))))))>
6.446 * * * * [progress]: [ 7 / 127 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (/ (* 1/3 (/ 1 N)) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N))) (- (/ (* 1/3 (/ 1 N)) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N)))) (- (/ (* 1/3 (/ 1 N)) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N))))))>
6.447 * * * * [progress]: [ 8 / 127 ] simplifiying candidate #<alt (λ (N) (* (sqrt (- (/ (* 1/3 (/ 1 N)) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N)))) (sqrt (- (/ (* 1/3 (/ 1 N)) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N))))))>
6.447 * * * * [progress]: [ 9 / 127 ] simplifiying candidate #<alt (λ (N) (/ (- (* (* 1/3 (/ 1 N)) (* (* N N) N)) (* (* N N) (- (* 1/2 N) (* (* N N) 1)))) (* (* N N) (* (* N N) N))))>
6.447 * * * * [progress]: [ 10 / 127 ] simplifiying candidate #<alt (λ (N) (/ (- (* (* 1/3 (/ 1 N)) (+ (* (/ 1/2 (* N N)) (/ 1/2 (* N N))) (+ (* (/ 1 N) (/ 1 N)) (* (/ 1/2 (* N N)) (/ 1 N))))) (* (* N N) (- (pow (/ 1/2 (* N N)) 3) (pow (/ 1 N) 3)))) (* (* N N) (+ (* (/ 1/2 (* N N)) (/ 1/2 (* N N))) (+ (* (/ 1 N) (/ 1 N)) (* (/ 1/2 (* N N)) (/ 1 N)))))))>
6.447 * * * * [progress]: [ 11 / 127 ] simplifiying candidate #<alt (λ (N) (/ (- (* (* 1/3 (/ 1 N)) (+ (/ 1/2 (* N N)) (/ 1 N))) (* (* N N) (- (* (/ 1/2 (* N N)) (/ 1/2 (* N N))) (* (/ 1 N) (/ 1 N))))) (* (* N N) (+ (/ 1/2 (* N N)) (/ 1 N)))))>
6.447 * * * * [progress]: [ 12 / 127 ] simplifiying candidate #<alt (λ (N) (/ (- (pow (/ (* 1/3 (/ 1 N)) (* N N)) 3) (pow (- (/ 1/2 (* N N)) (/ 1 N)) 3)) (+ (* (/ (* 1/3 (/ 1 N)) (* N N)) (/ (* 1/3 (/ 1 N)) (* N N))) (+ (* (- (/ 1/2 (* N N)) (/ 1 N)) (- (/ 1/2 (* N N)) (/ 1 N))) (* (/ (* 1/3 (/ 1 N)) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N)))))))>
6.447 * * * * [progress]: [ 13 / 127 ] simplifiying candidate #<alt (λ (N) (+ (/ (* 1/3 (/ 1 N)) (* N N)) (- (- (/ 1/2 (* N N)) (/ 1 N)))))>
6.447 * * * * [progress]: [ 14 / 127 ] simplifiying candidate #<alt (λ (N) (* 1 (- (/ (* 1/3 (/ 1 N)) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N)))))>
6.447 * * * * [progress]: [ 15 / 127 ] simplifiying candidate #<alt (λ (N) (/ (- (* (/ (* 1/3 (/ 1 N)) (* N N)) (/ (* 1/3 (/ 1 N)) (* N N))) (* (- (/ 1/2 (* N N)) (/ 1 N)) (- (/ 1/2 (* N N)) (/ 1 N)))) (+ (/ (* 1/3 (/ 1 N)) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N)))))>
6.447 * * * * [progress]: [ 16 / 127 ] simplifiying candidate #<alt (λ (N) (* (+ (sqrt (/ (* 1/3 (/ 1 N)) (* N N))) (sqrt (- (/ 1/2 (* N N)) (/ 1 N)))) (- (sqrt (/ (* 1/3 (/ 1 N)) (* N N))) (sqrt (- (/ 1/2 (* N N)) (/ 1 N))))))>
6.447 * * * * [progress]: [ 17 / 127 ] simplifiying candidate #<alt (λ (N) (* 1 (- (/ (* 1/3 (/ 1 N)) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N)))))>
6.447 * * * * [progress]: [ 18 / 127 ] simplifiying candidate #<alt (λ (N) (* 1 (- (/ (* 1/3 (/ 1 N)) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N)))))>
6.447 * * * * [progress]: [ 19 / 127 ] simplifiying candidate #<alt (λ (N) (* 1 (- (/ (* 1/3 (/ 1 N)) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N)))))>
6.447 * * * * [progress]: [ 20 / 127 ] simplifiying candidate #<alt (λ (N) (- (- (/ (* 1/3 (/ 1 N)) (* N N)) (/ 1/2 (* N N))) (- (/ 1 N))))>
6.448 * * * * [progress]: [ 21 / 127 ] simplifiying candidate #<alt (λ (N) (- (- (/ (* 1/3 (/ 1 N)) (* N N)) (/ 1/2 (* N N))) (- (/ 1 N))))>
6.448 * * * * [progress]: [ 22 / 127 ] simplifiying candidate #<alt (λ (N) (+ (- (/ (* 1/3 (/ 1 N)) (* N N)) (/ 1/2 (* N N))) (/ 1 N)))>
6.448 * * * * [progress]: [ 23 / 127 ] simplifiying candidate #<alt (λ (N) (+ (/ (* 1/3 (/ 1 N)) (* N N)) (- (- (/ 1/2 (* N N)) (/ 1 N)))))>
6.448 * * * * [progress]: [ 24 / 127 ] simplifiying candidate #<alt (λ (N) (posit16->real (real->posit16 (- (/ (* 1/3 (/ 1 N)) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N))))))>
6.448 * * * * [progress]: [ 25 / 127 ] simplifiying candidate #<alt (λ (N) (- (/ (pow (* 1/3 (/ 1 N)) 1) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N))))>
6.448 * * * * [progress]: [ 26 / 127 ] simplifiying candidate #<alt (λ (N) (- (/ (pow (* 1/3 (/ 1 N)) 1) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N))))>
6.448 * * * * [progress]: [ 27 / 127 ] simplifiying candidate #<alt (λ (N) (- (/ (exp (+ (log 1/3) (- (log N)))) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N))))>
6.448 * * * * [progress]: [ 28 / 127 ] simplifiying candidate #<alt (λ (N) (- (/ (exp (+ (log 1/3) (- 0 (log N)))) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N))))>
6.448 * * * * [progress]: [ 29 / 127 ] simplifiying candidate #<alt (λ (N) (- (/ (exp (+ (log 1/3) (- (log 1) (log N)))) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N))))>
6.448 * * * * [progress]: [ 30 / 127 ] simplifiying candidate #<alt (λ (N) (- (/ (exp (+ (log 1/3) (log (/ 1 N)))) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N))))>
6.448 * * * * [progress]: [ 31 / 127 ] simplifiying candidate #<alt (λ (N) (- (/ (exp (log (* 1/3 (/ 1 N)))) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N))))>
6.448 * * * * [progress]: [ 32 / 127 ] simplifiying candidate #<alt (λ (N) (- (/ (log (exp (* 1/3 (/ 1 N)))) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N))))>
6.448 * * * * [progress]: [ 33 / 127 ] simplifiying candidate #<alt (λ (N) (- (/ (cbrt (* (* (* 1/3 1/3) 1/3) (/ (* (* 1 1) 1) (* (* N N) N)))) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N))))>
6.448 * * * * [progress]: [ 34 / 127 ] simplifiying candidate #<alt (λ (N) (- (/ (cbrt (* (* (* 1/3 1/3) 1/3) (* (* (/ 1 N) (/ 1 N)) (/ 1 N)))) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N))))>
6.448 * * * * [progress]: [ 35 / 127 ] simplifiying candidate #<alt (λ (N) (- (/ (* (* (cbrt (* 1/3 (/ 1 N))) (cbrt (* 1/3 (/ 1 N)))) (cbrt (* 1/3 (/ 1 N)))) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N))))>
6.449 * * * * [progress]: [ 36 / 127 ] simplifiying candidate #<alt (λ (N) (- (/ (cbrt (* (* (* 1/3 (/ 1 N)) (* 1/3 (/ 1 N))) (* 1/3 (/ 1 N)))) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N))))>
6.449 * * * * [progress]: [ 37 / 127 ] simplifiying candidate #<alt (λ (N) (- (/ (* (sqrt (* 1/3 (/ 1 N))) (sqrt (* 1/3 (/ 1 N)))) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N))))>
6.449 * * * * [progress]: [ 38 / 127 ] simplifiying candidate #<alt (λ (N) (- (/ (* 1 (* 1/3 (/ 1 N))) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N))))>
6.449 * * * * [progress]: [ 39 / 127 ] simplifiying candidate #<alt (λ (N) (- (/ (/ 1/3 N) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N))))>
6.449 * * * * [progress]: [ 40 / 127 ] simplifiying candidate #<alt (λ (N) (- (/ (* (* (sqrt 1/3) (sqrt (/ 1 N))) (* (sqrt 1/3) (sqrt (/ 1 N)))) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N))))>
6.449 * * * * [progress]: [ 41 / 127 ] simplifiying candidate #<alt (λ (N) (- (/ (* (* (sqrt 1/3) (/ (sqrt 1) (sqrt N))) (* (sqrt 1/3) (/ (sqrt 1) (sqrt N)))) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N))))>
6.449 * * * * [progress]: [ 42 / 127 ] simplifiying candidate #<alt (λ (N) (- (/ (* (* (sqrt 1/3) (/ 1 (sqrt N))) (* (sqrt 1/3) (/ 1 (sqrt N)))) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N))))>
6.449 * * * * [progress]: [ 43 / 127 ] simplifiying candidate #<alt (λ (N) (- (/ (* (* 1/3 (* (cbrt (/ 1 N)) (cbrt (/ 1 N)))) (cbrt (/ 1 N))) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N))))>
6.449 * * * * [progress]: [ 44 / 127 ] simplifiying candidate #<alt (λ (N) (- (/ (* (* 1/3 (sqrt (/ 1 N))) (sqrt (/ 1 N))) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N))))>
6.449 * * * * [progress]: [ 45 / 127 ] simplifiying candidate #<alt (λ (N) (- (/ (* (* 1/3 (/ (* (cbrt 1) (cbrt 1)) (* (cbrt N) (cbrt N)))) (/ (cbrt 1) (cbrt N))) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N))))>
6.449 * * * * [progress]: [ 46 / 127 ] simplifiying candidate #<alt (λ (N) (- (/ (* (* 1/3 (/ (* (cbrt 1) (cbrt 1)) (sqrt N))) (/ (cbrt 1) (sqrt N))) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N))))>
6.449 * * * * [progress]: [ 47 / 127 ] simplifiying candidate #<alt (λ (N) (- (/ (* (* 1/3 (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (cbrt 1) N)) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N))))>
6.449 * * * * [progress]: [ 48 / 127 ] simplifiying candidate #<alt (λ (N) (- (/ (* (* 1/3 (/ (sqrt 1) (* (cbrt N) (cbrt N)))) (/ (sqrt 1) (cbrt N))) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N))))>
6.450 * * * * [progress]: [ 49 / 127 ] simplifiying candidate #<alt (λ (N) (- (/ (* (* 1/3 (/ (sqrt 1) (sqrt N))) (/ (sqrt 1) (sqrt N))) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N))))>
6.450 * * * * [progress]: [ 50 / 127 ] simplifiying candidate #<alt (λ (N) (- (/ (* (* 1/3 (/ (sqrt 1) 1)) (/ (sqrt 1) N)) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N))))>
6.450 * * * * [progress]: [ 51 / 127 ] simplifiying candidate #<alt (λ (N) (- (/ (* (* 1/3 (/ 1 (* (cbrt N) (cbrt N)))) (/ 1 (cbrt N))) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N))))>
6.450 * * * * [progress]: [ 52 / 127 ] simplifiying candidate #<alt (λ (N) (- (/ (* (* 1/3 (/ 1 (sqrt N))) (/ 1 (sqrt N))) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N))))>
6.450 * * * * [progress]: [ 53 / 127 ] simplifiying candidate #<alt (λ (N) (- (/ (* (* 1/3 (/ 1 1)) (/ 1 N)) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N))))>
6.450 * * * * [progress]: [ 54 / 127 ] simplifiying candidate #<alt (λ (N) (- (/ (* (* 1/3 1) (/ 1 N)) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N))))>
6.450 * * * * [progress]: [ 55 / 127 ] simplifiying candidate #<alt (λ (N) (- (/ (* (* 1/3 1) (/ 1 N)) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N))))>
6.450 * * * * [progress]: [ 56 / 127 ] simplifiying candidate #<alt (λ (N) (- (/ (* (* (cbrt 1/3) (cbrt 1/3)) (* (cbrt 1/3) (/ 1 N))) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N))))>
6.450 * * * * [progress]: [ 57 / 127 ] simplifiying candidate #<alt (λ (N) (- (/ (* (sqrt 1/3) (* (sqrt 1/3) (/ 1 N))) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N))))>
6.450 * * * * [progress]: [ 58 / 127 ] simplifiying candidate #<alt (λ (N) (- (/ (* 1 (* 1/3 (/ 1 N))) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N))))>
6.450 * * * * [progress]: [ 59 / 127 ] simplifiying candidate #<alt (λ (N) (- (/ (/ (* 1/3 1) N) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N))))>
6.450 * * * * [progress]: [ 60 / 127 ] simplifiying candidate #<alt (λ (N) (- (/ (posit16->real (real->posit16 (* 1/3 (/ 1 N)))) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N))))>
6.450 * * * * [progress]: [ 61 / 127 ] simplifiying candidate #<alt (λ (N) (- (/ (* (/ 1 N) 1/3) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N))))>
6.450 * * * * [progress]: [ 62 / 127 ] simplifiying candidate #<alt (λ (N) (- (/ (* 1/3 (/ 1 N)) (* N N)) (- (pow (/ 1/2 (* N N)) 1) (/ 1 N))))>
6.451 * * * * [progress]: [ 63 / 127 ] simplifiying candidate #<alt (λ (N) (- (/ (* 1/3 (/ 1 N)) (* N N)) (- (exp (- (log 1/2) (+ (log N) (log N)))) (/ 1 N))))>
6.451 * * * * [progress]: [ 64 / 127 ] simplifiying candidate #<alt (λ (N) (- (/ (* 1/3 (/ 1 N)) (* N N)) (- (exp (- (log 1/2) (log (* N N)))) (/ 1 N))))>
6.451 * * * * [progress]: [ 65 / 127 ] simplifiying candidate #<alt (λ (N) (- (/ (* 1/3 (/ 1 N)) (* N N)) (- (exp (log (/ 1/2 (* N N)))) (/ 1 N))))>
6.451 * * * * [progress]: [ 66 / 127 ] simplifiying candidate #<alt (λ (N) (- (/ (* 1/3 (/ 1 N)) (* N N)) (- (log (exp (/ 1/2 (* N N)))) (/ 1 N))))>
6.451 * * * * [progress]: [ 67 / 127 ] simplifiying candidate #<alt (λ (N) (- (/ (* 1/3 (/ 1 N)) (* N N)) (- (cbrt (/ (* (* 1/2 1/2) 1/2) (* (* (* N N) N) (* (* N N) N)))) (/ 1 N))))>
6.451 * * * * [progress]: [ 68 / 127 ] simplifiying candidate #<alt (λ (N) (- (/ (* 1/3 (/ 1 N)) (* N N)) (- (cbrt (/ (* (* 1/2 1/2) 1/2) (* (* (* N N) (* N N)) (* N N)))) (/ 1 N))))>
6.451 * * * * [progress]: [ 69 / 127 ] simplifiying candidate #<alt (λ (N) (- (/ (* 1/3 (/ 1 N)) (* N N)) (- (* (* (cbrt (/ 1/2 (* N N))) (cbrt (/ 1/2 (* N N)))) (cbrt (/ 1/2 (* N N)))) (/ 1 N))))>
6.451 * * * * [progress]: [ 70 / 127 ] simplifiying candidate #<alt (λ (N) (- (/ (* 1/3 (/ 1 N)) (* N N)) (- (cbrt (* (* (/ 1/2 (* N N)) (/ 1/2 (* N N))) (/ 1/2 (* N N)))) (/ 1 N))))>
6.451 * * * * [progress]: [ 71 / 127 ] simplifiying candidate #<alt (λ (N) (- (/ (* 1/3 (/ 1 N)) (* N N)) (- (* (sqrt (/ 1/2 (* N N))) (sqrt (/ 1/2 (* N N)))) (/ 1 N))))>
6.451 * * * * [progress]: [ 72 / 127 ] simplifiying candidate #<alt (λ (N) (- (/ (* 1/3 (/ 1 N)) (* N N)) (- (/ (- 1/2) (- (* N N))) (/ 1 N))))>
6.451 * * * * [progress]: [ 73 / 127 ] simplifiying candidate #<alt (λ (N) (- (/ (* 1/3 (/ 1 N)) (* N N)) (- (* (/ (* (cbrt 1/2) (cbrt 1/2)) N) (/ (cbrt 1/2) N)) (/ 1 N))))>
6.451 * * * * [progress]: [ 74 / 127 ] simplifiying candidate #<alt (λ (N) (- (/ (* 1/3 (/ 1 N)) (* N N)) (- (* (/ (sqrt 1/2) N) (/ (sqrt 1/2) N)) (/ 1 N))))>
6.451 * * * * [progress]: [ 75 / 127 ] simplifiying candidate #<alt (λ (N) (- (/ (* 1/3 (/ 1 N)) (* N N)) (- (* (/ 1 N) (/ 1/2 N)) (/ 1 N))))>
6.451 * * * * [progress]: [ 76 / 127 ] simplifiying candidate #<alt (λ (N) (- (/ (* 1/3 (/ 1 N)) (* N N)) (- (* 1 (/ 1/2 (* N N))) (/ 1 N))))>
6.452 * * * * [progress]: [ 77 / 127 ] simplifiying candidate #<alt (λ (N) (- (/ (* 1/3 (/ 1 N)) (* N N)) (- (* 1/2 (/ 1 (* N N))) (/ 1 N))))>
6.452 * * * * [progress]: [ 78 / 127 ] simplifiying candidate #<alt (λ (N) (- (/ (* 1/3 (/ 1 N)) (* N N)) (- (/ 1 (/ (* N N) 1/2)) (/ 1 N))))>
6.452 * * * * [progress]: [ 79 / 127 ] simplifiying candidate #<alt (λ (N) (- (/ (* 1/3 (/ 1 N)) (* N N)) (- (/ (/ 1/2 N) N) (/ 1 N))))>
6.452 * * * * [progress]: [ 80 / 127 ] simplifiying candidate #<alt (λ (N) (- (/ (* 1/3 (/ 1 N)) (* N N)) (- (/ (* (cbrt 1/2) (cbrt 1/2)) (/ (* N N) (cbrt 1/2))) (/ 1 N))))>
6.452 * * * * [progress]: [ 81 / 127 ] simplifiying candidate #<alt (λ (N) (- (/ (* 1/3 (/ 1 N)) (* N N)) (- (/ (sqrt 1/2) (/ (* N N) (sqrt 1/2))) (/ 1 N))))>
6.452 * * * * [progress]: [ 82 / 127 ] simplifiying candidate #<alt (λ (N) (- (/ (* 1/3 (/ 1 N)) (* N N)) (- (/ 1 (/ (* N N) 1/2)) (/ 1 N))))>
6.452 * * * * [progress]: [ 83 / 127 ] simplifiying candidate #<alt (λ (N) (- (/ (* 1/3 (/ 1 N)) (* N N)) (- (posit16->real (real->posit16 (/ 1/2 (* N N)))) (/ 1 N))))>
6.452 * * * * [progress]: [ 84 / 127 ] simplifiying candidate #<alt (λ (N) (- (pow (/ (* 1/3 (/ 1 N)) (* N N)) 1) (- (/ 1/2 (* N N)) (/ 1 N))))>
6.452 * * * * [progress]: [ 85 / 127 ] simplifiying candidate #<alt (λ (N) (- (exp (- (+ (log 1/3) (- (log N))) (+ (log N) (log N)))) (- (/ 1/2 (* N N)) (/ 1 N))))>
6.452 * * * * [progress]: [ 86 / 127 ] simplifiying candidate #<alt (λ (N) (- (exp (- (+ (log 1/3) (- (log N))) (log (* N N)))) (- (/ 1/2 (* N N)) (/ 1 N))))>
6.452 * * * * [progress]: [ 87 / 127 ] simplifiying candidate #<alt (λ (N) (- (exp (- (+ (log 1/3) (- 0 (log N))) (+ (log N) (log N)))) (- (/ 1/2 (* N N)) (/ 1 N))))>
6.452 * * * * [progress]: [ 88 / 127 ] simplifiying candidate #<alt (λ (N) (- (exp (- (+ (log 1/3) (- 0 (log N))) (log (* N N)))) (- (/ 1/2 (* N N)) (/ 1 N))))>
6.452 * * * * [progress]: [ 89 / 127 ] simplifiying candidate #<alt (λ (N) (- (exp (- (+ (log 1/3) (- (log 1) (log N))) (+ (log N) (log N)))) (- (/ 1/2 (* N N)) (/ 1 N))))>
6.452 * * * * [progress]: [ 90 / 127 ] simplifiying candidate #<alt (λ (N) (- (exp (- (+ (log 1/3) (- (log 1) (log N))) (log (* N N)))) (- (/ 1/2 (* N N)) (/ 1 N))))>
6.453 * * * * [progress]: [ 91 / 127 ] simplifiying candidate #<alt (λ (N) (- (exp (- (+ (log 1/3) (log (/ 1 N))) (+ (log N) (log N)))) (- (/ 1/2 (* N N)) (/ 1 N))))>
6.453 * * * * [progress]: [ 92 / 127 ] simplifiying candidate #<alt (λ (N) (- (exp (- (+ (log 1/3) (log (/ 1 N))) (log (* N N)))) (- (/ 1/2 (* N N)) (/ 1 N))))>
6.453 * * * * [progress]: [ 93 / 127 ] simplifiying candidate #<alt (λ (N) (- (exp (- (log (* 1/3 (/ 1 N))) (+ (log N) (log N)))) (- (/ 1/2 (* N N)) (/ 1 N))))>
6.453 * * * * [progress]: [ 94 / 127 ] simplifiying candidate #<alt (λ (N) (- (exp (- (log (* 1/3 (/ 1 N))) (log (* N N)))) (- (/ 1/2 (* N N)) (/ 1 N))))>
6.453 * * * * [progress]: [ 95 / 127 ] simplifiying candidate #<alt (λ (N) (- (exp (log (/ (* 1/3 (/ 1 N)) (* N N)))) (- (/ 1/2 (* N N)) (/ 1 N))))>
6.453 * * * * [progress]: [ 96 / 127 ] simplifiying candidate #<alt (λ (N) (- (log (exp (/ (* 1/3 (/ 1 N)) (* N N)))) (- (/ 1/2 (* N N)) (/ 1 N))))>
6.453 * * * * [progress]: [ 97 / 127 ] simplifiying candidate #<alt (λ (N) (- (cbrt (/ (* (* (* 1/3 1/3) 1/3) (/ (* (* 1 1) 1) (* (* N N) N))) (* (* (* N N) N) (* (* N N) N)))) (- (/ 1/2 (* N N)) (/ 1 N))))>
6.453 * * * * [progress]: [ 98 / 127 ] simplifiying candidate #<alt (λ (N) (- (cbrt (/ (* (* (* 1/3 1/3) 1/3) (/ (* (* 1 1) 1) (* (* N N) N))) (* (* (* N N) (* N N)) (* N N)))) (- (/ 1/2 (* N N)) (/ 1 N))))>
6.453 * * * * [progress]: [ 99 / 127 ] simplifiying candidate #<alt (λ (N) (- (cbrt (/ (* (* (* 1/3 1/3) 1/3) (* (* (/ 1 N) (/ 1 N)) (/ 1 N))) (* (* (* N N) N) (* (* N N) N)))) (- (/ 1/2 (* N N)) (/ 1 N))))>
6.453 * * * * [progress]: [ 100 / 127 ] simplifiying candidate #<alt (λ (N) (- (cbrt (/ (* (* (* 1/3 1/3) 1/3) (* (* (/ 1 N) (/ 1 N)) (/ 1 N))) (* (* (* N N) (* N N)) (* N N)))) (- (/ 1/2 (* N N)) (/ 1 N))))>
6.453 * * * * [progress]: [ 101 / 127 ] simplifiying candidate #<alt (λ (N) (- (cbrt (/ (* (* (* 1/3 (/ 1 N)) (* 1/3 (/ 1 N))) (* 1/3 (/ 1 N))) (* (* (* N N) N) (* (* N N) N)))) (- (/ 1/2 (* N N)) (/ 1 N))))>
6.453 * * * * [progress]: [ 102 / 127 ] simplifiying candidate #<alt (λ (N) (- (cbrt (/ (* (* (* 1/3 (/ 1 N)) (* 1/3 (/ 1 N))) (* 1/3 (/ 1 N))) (* (* (* N N) (* N N)) (* N N)))) (- (/ 1/2 (* N N)) (/ 1 N))))>
6.453 * * * * [progress]: [ 103 / 127 ] simplifiying candidate #<alt (λ (N) (- (* (* (cbrt (/ (* 1/3 (/ 1 N)) (* N N))) (cbrt (/ (* 1/3 (/ 1 N)) (* N N)))) (cbrt (/ (* 1/3 (/ 1 N)) (* N N)))) (- (/ 1/2 (* N N)) (/ 1 N))))>
6.454 * * * * [progress]: [ 104 / 127 ] simplifiying candidate #<alt (λ (N) (- (cbrt (* (* (/ (* 1/3 (/ 1 N)) (* N N)) (/ (* 1/3 (/ 1 N)) (* N N))) (/ (* 1/3 (/ 1 N)) (* N N)))) (- (/ 1/2 (* N N)) (/ 1 N))))>
6.454 * * * * [progress]: [ 105 / 127 ] simplifiying candidate #<alt (λ (N) (- (* (sqrt (/ (* 1/3 (/ 1 N)) (* N N))) (sqrt (/ (* 1/3 (/ 1 N)) (* N N)))) (- (/ 1/2 (* N N)) (/ 1 N))))>
6.454 * * * * [progress]: [ 106 / 127 ] simplifiying candidate #<alt (λ (N) (- (/ (- (* 1/3 (/ 1 N))) (- (* N N))) (- (/ 1/2 (* N N)) (/ 1 N))))>
6.454 * * * * [progress]: [ 107 / 127 ] simplifiying candidate #<alt (λ (N) (- (* (/ 1/3 N) (/ (/ 1 N) N)) (- (/ 1/2 (* N N)) (/ 1 N))))>
6.454 * * * * [progress]: [ 108 / 127 ] simplifiying candidate #<alt (λ (N) (- (* 1 (/ (* 1/3 (/ 1 N)) (* N N))) (- (/ 1/2 (* N N)) (/ 1 N))))>
6.454 * * * * [progress]: [ 109 / 127 ] simplifiying candidate #<alt (λ (N) (- (* (* 1/3 (/ 1 N)) (/ 1 (* N N))) (- (/ 1/2 (* N N)) (/ 1 N))))>
6.454 * * * * [progress]: [ 110 / 127 ] simplifiying candidate #<alt (λ (N) (- (/ 1 (/ (* N N) (* 1/3 (/ 1 N)))) (- (/ 1/2 (* N N)) (/ 1 N))))>
6.454 * * * * [progress]: [ 111 / 127 ] simplifiying candidate #<alt (λ (N) (- (/ (/ (* 1/3 (/ 1 N)) N) N) (- (/ 1/2 (* N N)) (/ 1 N))))>
6.454 * * * * [progress]: [ 112 / 127 ] simplifiying candidate #<alt (λ (N) (- (/ 1/3 (/ (* N N) (/ 1 N))) (- (/ 1/2 (* N N)) (/ 1 N))))>
6.454 * * * * [progress]: [ 113 / 127 ] simplifiying candidate #<alt (λ (N) (- (/ 1/3 (* (* N N) N)) (- (/ 1/2 (* N N)) (/ 1 N))))>
6.454 * * * * [progress]: [ 114 / 127 ] simplifiying candidate #<alt (λ (N) (- (/ (* 1/3 1) (* (* N N) N)) (- (/ 1/2 (* N N)) (/ 1 N))))>
6.454 * * * * [progress]: [ 115 / 127 ] simplifiying candidate #<alt (λ (N) (- (posit16->real (real->posit16 (/ (* 1/3 (/ 1 N)) (* N N)))) (- (/ 1/2 (* N N)) (/ 1 N))))>
6.454 * * * * [progress]: [ 116 / 127 ] simplifiying candidate #<alt (λ (N) (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))))>
6.454 * * * * [progress]: [ 117 / 127 ] simplifiying candidate #<alt (λ (N) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))))>
6.454 * * * * [progress]: [ 118 / 127 ] simplifiying candidate #<alt (λ (N) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))))>
6.455 * * * * [progress]: [ 119 / 127 ] simplifiying candidate #<alt (λ (N) (- (/ (/ 1/3 N) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N))))>
6.455 * * * * [progress]: [ 120 / 127 ] simplifiying candidate #<alt (λ (N) (- (/ (/ 1/3 N) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N))))>
6.455 * * * * [progress]: [ 121 / 127 ] simplifiying candidate #<alt (λ (N) (- (/ (/ 1/3 N) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N))))>
6.455 * * * * [progress]: [ 122 / 127 ] simplifiying candidate #<alt (λ (N) (- (/ (* 1/3 (/ 1 N)) (* N N)) (- (/ 1/2 (pow N 2)) (/ 1 N))))>
6.455 * * * * [progress]: [ 123 / 127 ] simplifiying candidate #<alt (λ (N) (- (/ (* 1/3 (/ 1 N)) (* N N)) (- (/ 1/2 (pow N 2)) (/ 1 N))))>
6.455 * * * * [progress]: [ 124 / 127 ] simplifiying candidate #<alt (λ (N) (- (/ (* 1/3 (/ 1 N)) (* N N)) (- (/ 1/2 (pow N 2)) (/ 1 N))))>
6.455 * * * * [progress]: [ 125 / 127 ] simplifiying candidate #<alt (λ (N) (- (/ 1/3 (pow N 3)) (- (/ 1/2 (* N N)) (/ 1 N))))>
6.455 * * * * [progress]: [ 126 / 127 ] simplifiying candidate #<alt (λ (N) (- (/ 1/3 (pow N 3)) (- (/ 1/2 (* N N)) (/ 1 N))))>
6.455 * * * * [progress]: [ 127 / 127 ] simplifiying candidate #<alt (λ (N) (- (/ 1/3 (pow N 3)) (- (/ 1/2 (* N N)) (/ 1 N))))>
6.459 * [simplify]: Simplifying (/ (exp (/ (* 1/3 (/ 1 N)) (* N N))) (/ (exp (/ 1/2 (* N N))) (exp (/ 1 N)))), (/ (exp (/ (* 1/3 (/ 1 N)) (* N N))) (exp (- (/ 1/2 (* N N)) (/ 1 N)))), (log (- (/ (* 1/3 (/ 1 N)) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N)))), (exp (- (/ (* 1/3 (/ 1 N)) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N)))), (* (cbrt (- (/ (* 1/3 (/ 1 N)) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N)))) (cbrt (- (/ (* 1/3 (/ 1 N)) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N))))), (cbrt (- (/ (* 1/3 (/ 1 N)) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N)))), (* (* (- (/ (* 1/3 (/ 1 N)) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N))) (- (/ (* 1/3 (/ 1 N)) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N)))) (- (/ (* 1/3 (/ 1 N)) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N)))), (sqrt (- (/ (* 1/3 (/ 1 N)) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N)))), (sqrt (- (/ (* 1/3 (/ 1 N)) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N)))), (- (* (* 1/3 (/ 1 N)) (* (* N N) N)) (* (* N N) (- (* 1/2 N) (* (* N N) 1)))), (* (* N N) (* (* N N) N)), (- (* (* 1/3 (/ 1 N)) (+ (* (/ 1/2 (* N N)) (/ 1/2 (* N N))) (+ (* (/ 1 N) (/ 1 N)) (* (/ 1/2 (* N N)) (/ 1 N))))) (* (* N N) (- (pow (/ 1/2 (* N N)) 3) (pow (/ 1 N) 3)))), (* (* N N) (+ (* (/ 1/2 (* N N)) (/ 1/2 (* N N))) (+ (* (/ 1 N) (/ 1 N)) (* (/ 1/2 (* N N)) (/ 1 N))))), (- (* (* 1/3 (/ 1 N)) (+ (/ 1/2 (* N N)) (/ 1 N))) (* (* N N) (- (* (/ 1/2 (* N N)) (/ 1/2 (* N N))) (* (/ 1 N) (/ 1 N))))), (* (* N N) (+ (/ 1/2 (* N N)) (/ 1 N))), (- (pow (/ (* 1/3 (/ 1 N)) (* N N)) 3) (pow (- (/ 1/2 (* N N)) (/ 1 N)) 3)), (+ (* (/ (* 1/3 (/ 1 N)) (* N N)) (/ (* 1/3 (/ 1 N)) (* N N))) (+ (* (- (/ 1/2 (* N N)) (/ 1 N)) (- (/ 1/2 (* N N)) (/ 1 N))) (* (/ (* 1/3 (/ 1 N)) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N))))), (- (- (/ 1/2 (* N N)) (/ 1 N))), (- (* (/ (* 1/3 (/ 1 N)) (* N N)) (/ (* 1/3 (/ 1 N)) (* N N))) (* (- (/ 1/2 (* N N)) (/ 1 N)) (- (/ 1/2 (* N N)) (/ 1 N)))), (+ (/ (* 1/3 (/ 1 N)) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N))), (+ (sqrt (/ (* 1/3 (/ 1 N)) (* N N))) (sqrt (- (/ 1/2 (* N N)) (/ 1 N)))), (- (sqrt (/ (* 1/3 (/ 1 N)) (* N N))) (sqrt (- (/ 1/2 (* N N)) (/ 1 N)))), (- (/ (* 1/3 (/ 1 N)) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N))), (- (/ (* 1/3 (/ 1 N)) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N))), (- (/ (* 1/3 (/ 1 N)) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N))), (- (/ (* 1/3 (/ 1 N)) (* N N)) (/ 1/2 (* N N))), (- (/ (* 1/3 (/ 1 N)) (* N N)) (/ 1/2 (* N N))), (- (/ (* 1/3 (/ 1 N)) (* N N)) (/ 1/2 (* N N))), (- (- (/ 1/2 (* N N)) (/ 1 N))), (real->posit16 (- (/ (* 1/3 (/ 1 N)) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N)))), (* 1/3 (/ 1 N)), (+ (log 1/3) (- (log N))), (+ (log 1/3) (- 0 (log N))), (+ (log 1/3) (- (log 1) (log N))), (+ (log 1/3) (log (/ 1 N))), (log (* 1/3 (/ 1 N))), (exp (* 1/3 (/ 1 N))), (* (* (* 1/3 1/3) 1/3) (/ (* (* 1 1) 1) (* (* N N) N))), (* (* (* 1/3 1/3) 1/3) (* (* (/ 1 N) (/ 1 N)) (/ 1 N))), (* (cbrt (* 1/3 (/ 1 N))) (cbrt (* 1/3 (/ 1 N)))), (cbrt (* 1/3 (/ 1 N))), (* (* (* 1/3 (/ 1 N)) (* 1/3 (/ 1 N))) (* 1/3 (/ 1 N))), (sqrt (* 1/3 (/ 1 N))), (sqrt (* 1/3 (/ 1 N))), (* (sqrt 1/3) (sqrt (/ 1 N))), (* (sqrt 1/3) (sqrt (/ 1 N))), (* (sqrt 1/3) (/ (sqrt 1) (sqrt N))), (* (sqrt 1/3) (/ (sqrt 1) (sqrt N))), (* (sqrt 1/3) (/ 1 (sqrt N))), (* (sqrt 1/3) (/ 1 (sqrt N))), (* 1/3 (* (cbrt (/ 1 N)) (cbrt (/ 1 N)))), (* 1/3 (sqrt (/ 1 N))), (* 1/3 (/ (* (cbrt 1) (cbrt 1)) (* (cbrt N) (cbrt N)))), (* 1/3 (/ (* (cbrt 1) (cbrt 1)) (sqrt N))), (* 1/3 (/ (* (cbrt 1) (cbrt 1)) 1)), (* 1/3 (/ (sqrt 1) (* (cbrt N) (cbrt N)))), (* 1/3 (/ (sqrt 1) (sqrt N))), (* 1/3 (/ (sqrt 1) 1)), (* 1/3 (/ 1 (* (cbrt N) (cbrt N)))), (* 1/3 (/ 1 (sqrt N))), (* 1/3 (/ 1 1)), (* 1/3 1), (* 1/3 1), (* (cbrt 1/3) (/ 1 N)), (* (sqrt 1/3) (/ 1 N)), (* 1/3 (/ 1 N)), (* 1/3 1), (real->posit16 (* 1/3 (/ 1 N))), (- (log 1/2) (+ (log N) (log N))), (- (log 1/2) (log (* N N))), (log (/ 1/2 (* N N))), (exp (/ 1/2 (* N N))), (/ (* (* 1/2 1/2) 1/2) (* (* (* N N) N) (* (* N N) N))), (/ (* (* 1/2 1/2) 1/2) (* (* (* N N) (* N N)) (* N N))), (* (cbrt (/ 1/2 (* N N))) (cbrt (/ 1/2 (* N N)))), (cbrt (/ 1/2 (* N N))), (* (* (/ 1/2 (* N N)) (/ 1/2 (* N N))) (/ 1/2 (* N N))), (sqrt (/ 1/2 (* N N))), (sqrt (/ 1/2 (* N N))), (- 1/2), (- (* N N)), (/ (* (cbrt 1/2) (cbrt 1/2)) N), (/ (cbrt 1/2) N), (/ (sqrt 1/2) N), (/ (sqrt 1/2) N), (/ 1 N), (/ 1/2 N), (/ 1 (* N N)), (/ (* N N) 1/2), (/ 1/2 N), (/ (* N N) (cbrt 1/2)), (/ (* N N) (sqrt 1/2)), (/ (* N N) 1/2), (real->posit16 (/ 1/2 (* N N))), (- (+ (log 1/3) (- (log N))) (+ (log N) (log N))), (- (+ (log 1/3) (- (log N))) (log (* N N))), (- (+ (log 1/3) (- 0 (log N))) (+ (log N) (log N))), (- (+ (log 1/3) (- 0 (log N))) (log (* N N))), (- (+ (log 1/3) (- (log 1) (log N))) (+ (log N) (log N))), (- (+ (log 1/3) (- (log 1) (log N))) (log (* N N))), (- (+ (log 1/3) (log (/ 1 N))) (+ (log N) (log N))), (- (+ (log 1/3) (log (/ 1 N))) (log (* N N))), (- (log (* 1/3 (/ 1 N))) (+ (log N) (log N))), (- (log (* 1/3 (/ 1 N))) (log (* N N))), (log (/ (* 1/3 (/ 1 N)) (* N N))), (exp (/ (* 1/3 (/ 1 N)) (* N N))), (/ (* (* (* 1/3 1/3) 1/3) (/ (* (* 1 1) 1) (* (* N N) N))) (* (* (* N N) N) (* (* N N) N))), (/ (* (* (* 1/3 1/3) 1/3) (/ (* (* 1 1) 1) (* (* N N) N))) (* (* (* N N) (* N N)) (* N N))), (/ (* (* (* 1/3 1/3) 1/3) (* (* (/ 1 N) (/ 1 N)) (/ 1 N))) (* (* (* N N) N) (* (* N N) N))), (/ (* (* (* 1/3 1/3) 1/3) (* (* (/ 1 N) (/ 1 N)) (/ 1 N))) (* (* (* N N) (* N N)) (* N N))), (/ (* (* (* 1/3 (/ 1 N)) (* 1/3 (/ 1 N))) (* 1/3 (/ 1 N))) (* (* (* N N) N) (* (* N N) N))), (/ (* (* (* 1/3 (/ 1 N)) (* 1/3 (/ 1 N))) (* 1/3 (/ 1 N))) (* (* (* N N) (* N N)) (* N N))), (* (cbrt (/ (* 1/3 (/ 1 N)) (* N N))) (cbrt (/ (* 1/3 (/ 1 N)) (* N N)))), (cbrt (/ (* 1/3 (/ 1 N)) (* N N))), (* (* (/ (* 1/3 (/ 1 N)) (* N N)) (/ (* 1/3 (/ 1 N)) (* N N))) (/ (* 1/3 (/ 1 N)) (* N N))), (sqrt (/ (* 1/3 (/ 1 N)) (* N N))), (sqrt (/ (* 1/3 (/ 1 N)) (* N N))), (- (* 1/3 (/ 1 N))), (- (* N N)), (/ 1/3 N), (/ (/ 1 N) N), (/ 1 (* N N)), (/ (* N N) (* 1/3 (/ 1 N))), (/ (* 1/3 (/ 1 N)) N), (/ (* N N) (/ 1 N)), (* (* N N) N), (* (* N N) N), (real->posit16 (/ (* 1/3 (/ 1 N)) (* N N))), (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))), (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))), (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))), (/ 1/3 N), (/ 1/3 N), (/ 1/3 N), (/ 1/2 (pow N 2)), (/ 1/2 (pow N 2)), (/ 1/2 (pow N 2)), (/ 1/3 (pow N 3)), (/ 1/3 (pow N 3)), (/ 1/3 (pow N 3))
6.464 * * [simplify]: iteration 1: (205 enodes)
6.629 * * [simplify]: iteration 2: (895 enodes)
7.000 * * [simplify]: Extracting #0: cost 71 inf + 0
7.001 * * [simplify]: Extracting #1: cost 438 inf + 2
7.006 * * [simplify]: Extracting #2: cost 636 inf + 15379
7.022 * * [simplify]: Extracting #3: cost 312 inf + 80322
7.055 * * [simplify]: Extracting #4: cost 69 inf + 142799
7.089 * * [simplify]: Extracting #5: cost 2 inf + 161334
7.125 * * [simplify]: Extracting #6: cost 0 inf + 161379
7.190 * * [simplify]: Extracting #7: cost 0 inf + 161339
7.255 * [simplify]: Simplified to (exp (- (- (/ (/ 1/3 N) (* N N)) (/ 1/2 (* N N))) (/ -1 N))), (exp (- (- (/ (/ 1/3 N) (* N N)) (/ 1/2 (* N N))) (/ -1 N))), (log (- (- (/ (/ 1/3 N) (* N N)) (/ 1/2 (* N N))) (/ -1 N))), (exp (- (- (/ (/ 1/3 N) (* N N)) (/ 1/2 (* N N))) (/ -1 N))), (* (cbrt (- (- (/ (/ 1/3 N) (* N N)) (/ 1/2 (* N N))) (/ -1 N))) (cbrt (- (- (/ (/ 1/3 N) (* N N)) (/ 1/2 (* N N))) (/ -1 N)))), (cbrt (- (- (/ (/ 1/3 N) (* N N)) (/ 1/2 (* N N))) (/ -1 N))), (* (- (- (/ (/ 1/3 N) (* N N)) (/ 1/2 (* N N))) (/ -1 N)) (* (- (- (/ (/ 1/3 N) (* N N)) (/ 1/2 (* N N))) (/ -1 N)) (- (- (/ (/ 1/3 N) (* N N)) (/ 1/2 (* N N))) (/ -1 N)))), (sqrt (- (- (/ (/ 1/3 N) (* N N)) (/ 1/2 (* N N))) (/ -1 N))), (sqrt (- (- (/ (/ 1/3 N) (* N N)) (/ 1/2 (* N N))) (/ -1 N))), (- (* (/ 1/3 N) (* N (* N N))) (* (- (* N 1/2) (* N N)) (* N N))), (* (* N (* N N)) (* N N)), (- (* (/ 1/3 N) (+ (/ (/ 1/4 (* N N)) (* N N)) (* (/ 1 N) (+ (/ 1 N) (/ 1/2 (* N N)))))) (* (* N N) (+ (/ 1/8 (* (* N (* N N)) (* N (* N N)))) (/ -1 (* N (* N N)))))), (+ (* (/ 1/2 (* N N)) (* (/ 1/2 (* N N)) (* N N))) (* (* (/ 1 N) (+ (/ 1 N) (/ 1/2 (* N N)))) (* N N))), (- (+ (/ (/ 1/3 N) N) (* (/ 1/2 (* N N)) (/ 1/3 N))) (* (* (+ (/ 1 N) (/ 1/2 (* N N))) (- (/ 1/2 (* N N)) (/ 1 N))) (* N N))), (+ (/ (* N N) N) (* (/ 1/2 (* N N)) (* N N))), (- (* (* (/ (/ 1/3 N) (* N N)) (/ (/ 1/3 N) (* N N))) (/ (/ 1/3 N) (* N N))) (* (* (+ (/ 1/2 (* N N)) (/ -1 N)) (+ (/ 1/2 (* N N)) (/ -1 N))) (+ (/ 1/2 (* N N)) (/ -1 N)))), (+ (* (/ (/ 1/3 N) (* N N)) (/ (/ 1/3 N) (* N N))) (* (+ (/ 1/2 (* N N)) (/ -1 N)) (+ (/ (/ 1/3 N) (* N N)) (+ (/ 1/2 (* N N)) (/ -1 N))))), (+ (/ -1/2 (* N N)) (- (/ -1 N))), (- (* (/ (/ 1/3 N) (* N N)) (/ (/ 1/3 N) (* N N))) (* (+ (/ 1/2 (* N N)) (/ -1 N)) (+ (/ 1/2 (* N N)) (/ -1 N)))), (+ (/ (/ 1/3 N) (* N N)) (+ (/ 1/2 (* N N)) (/ -1 N))), (+ (sqrt (/ (/ 1/3 N) (* N N))) (sqrt (+ (/ 1/2 (* N N)) (/ -1 N)))), (- (sqrt (/ (/ 1/3 N) (* N N))) (sqrt (+ (/ 1/2 (* N N)) (/ -1 N)))), (- (- (/ (/ 1/3 N) (* N N)) (/ 1/2 (* N N))) (/ -1 N)), (- (- (/ (/ 1/3 N) (* N N)) (/ 1/2 (* N N))) (/ -1 N)), (- (- (/ (/ 1/3 N) (* N N)) (/ 1/2 (* N N))) (/ -1 N)), (+ (/ (/ 1/3 N) (* N N)) (/ -1/2 (* N N))), (+ (/ (/ 1/3 N) (* N N)) (/ -1/2 (* N N))), (+ (/ (/ 1/3 N) (* N N)) (/ -1/2 (* N N))), (+ (/ -1/2 (* N N)) (- (/ -1 N))), (real->posit16 (- (- (/ (/ 1/3 N) (* N N)) (/ 1/2 (* N N))) (/ -1 N))), (/ 1/3 N), (log (/ 1/3 N)), (log (/ 1/3 N)), (log (/ 1/3 N)), (log (/ 1/3 N)), (log (/ 1/3 N)), (exp (/ 1/3 N)), (/ 1/27 (* N (* N N))), (/ 1/27 (* N (* N N))), (* (cbrt (/ 1/3 N)) (cbrt (/ 1/3 N))), (cbrt (/ 1/3 N)), (/ 1/27 (* N (* N N))), (sqrt (/ 1/3 N)), (sqrt (/ 1/3 N)), (* (sqrt 1/3) (sqrt (/ 1 N))), (* (sqrt 1/3) (sqrt (/ 1 N))), (/ (sqrt 1/3) (sqrt N)), (/ (sqrt 1/3) (sqrt N)), (/ (sqrt 1/3) (sqrt N)), (/ (sqrt 1/3) (sqrt N)), (* (* (cbrt (/ 1 N)) 1/3) (cbrt (/ 1 N))), (* (sqrt (/ 1 N)) 1/3), (/ 1/3 (* (cbrt N) (cbrt N))), (/ 1/3 (sqrt N)), 1/3, (/ 1/3 (* (cbrt N) (cbrt N))), (/ 1/3 (sqrt N)), 1/3, (/ 1/3 (* (cbrt N) (cbrt N))), (/ 1/3 (sqrt N)), 1/3, 1/3, 1/3, (/ (cbrt 1/3) N), (/ (sqrt 1/3) N), (/ 1/3 N), 1/3, (real->posit16 (/ 1/3 N)), (log (/ 1/2 (* N N))), (log (/ 1/2 (* N N))), (log (/ 1/2 (* N N))), (exp (/ 1/2 (* N N))), (/ 1/8 (* (* N (* N N)) (* N (* N N)))), (/ 1/8 (* (* N (* N N)) (* N (* N N)))), (* (cbrt (/ 1/2 (* N N))) (cbrt (/ 1/2 (* N N)))), (cbrt (/ 1/2 (* N N))), (/ 1/8 (* (* N (* N N)) (* N (* N N)))), (sqrt (/ 1/2 (* N N))), (sqrt (/ 1/2 (* N N))), -1/2, (- (* N N)), (* (/ (cbrt 1/2) N) (cbrt 1/2)), (/ (cbrt 1/2) N), (/ (sqrt 1/2) N), (/ (sqrt 1/2) N), (/ 1 N), (/ 1/2 N), (* (/ 1 N) (/ 1 N)), (/ N (/ 1/2 N)), (/ 1/2 N), (/ (* N N) (cbrt 1/2)), (* (/ N (sqrt 1/2)) N), (/ N (/ 1/2 N)), (real->posit16 (/ 1/2 (* N N))), (log (/ (/ 1/3 N) (* N N))), (log (/ (/ 1/3 N) (* N N))), (log (/ (/ 1/3 N) (* N N))), (log (/ (/ 1/3 N) (* N N))), (log (/ (/ 1/3 N) (* N N))), (log (/ (/ 1/3 N) (* N N))), (log (/ (/ 1/3 N) (* N N))), (log (/ (/ 1/3 N) (* N N))), (log (/ (/ 1/3 N) (* N N))), (log (/ (/ 1/3 N) (* N N))), (log (/ (/ 1/3 N) (* N N))), (exp (/ (/ 1/3 N) (* N N))), (* (* (/ (/ 1/3 N) (* N N)) (/ (/ 1/3 N) (* N N))) (/ (/ 1/3 N) (* N N))), (* (* (/ (/ 1/3 N) (* N N)) (/ (/ 1/3 N) (* N N))) (/ (/ 1/3 N) (* N N))), (* (* (/ (/ 1/3 N) (* N N)) (/ (/ 1/3 N) (* N N))) (/ (/ 1/3 N) (* N N))), (* (* (/ (/ 1/3 N) (* N N)) (/ (/ 1/3 N) (* N N))) (/ (/ 1/3 N) (* N N))), (* (* (/ (/ 1/3 N) (* N N)) (/ (/ 1/3 N) (* N N))) (/ (/ 1/3 N) (* N N))), (* (* (/ (/ 1/3 N) (* N N)) (/ (/ 1/3 N) (* N N))) (/ (/ 1/3 N) (* N N))), (* (cbrt (/ (/ 1/3 N) (* N N))) (cbrt (/ (/ 1/3 N) (* N N)))), (cbrt (/ (/ 1/3 N) (* N N))), (* (* (/ (/ 1/3 N) (* N N)) (/ (/ 1/3 N) (* N N))) (/ (/ 1/3 N) (* N N))), (sqrt (/ (/ 1/3 N) (* N N))), (sqrt (/ (/ 1/3 N) (* N N))), (/ -1/3 N), (- (* N N)), (/ 1/3 N), (* (/ 1 N) (/ 1 N)), (* (/ 1 N) (/ 1 N)), (* (/ N 1/3) (* N N)), (/ (/ 1/3 N) N), (* N (* N N)), (* N (* N N)), (* N (* N N)), (real->posit16 (/ (/ 1/3 N) (* N N))), (+ (/ 1 N) (- (/ (/ 1/3 N) (* N N)) (/ 1/2 (* N N)))), (+ (/ 1 N) (- (/ (/ 1/3 N) (* N N)) (/ 1/2 (* N N)))), (+ (/ 1 N) (- (/ (/ 1/3 N) (* N N)) (/ 1/2 (* N N)))), (/ 1/3 N), (/ 1/3 N), (/ 1/3 N), (/ 1/2 (* N N)), (/ 1/2 (* N N)), (/ 1/2 (* N N)), (/ (/ 1/3 N) (* N N)), (/ (/ 1/3 N) (* N N)), (/ (/ 1/3 N) (* N N))
7.270 * * * [progress]: adding candidates to table
8.282 * [progress]: [Phase 3 of 3] Extracting.
8.282 * * [regime]: Finding splitpoints for: (#<alt (λ (N) (/ (- (* (/ 1/3 N) (+ (/ (/ 1/4 (* N N)) (* N N)) (* (/ 1 N) (+ (/ 1 N) (/ 1/2 (* N N)))))) (* (* N N) (+ (/ 1/8 (* (* N (* N N)) (* N (* N N)))) (/ -1 (* N (* N N)))))) (+ (* (/ 1/2 (* N N)) (* (/ 1/2 (* N N)) (* N N))) (* (* (/ 1 N) (+ (/ 1 N) (/ 1/2 (* N N)))) (* N N)))))> #<alt (λ (N) (exp (log (- (/ (* 1/3 (/ 1 N)) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N))))))> #<alt (λ (N) (* (sqrt (- (/ (* 1/3 (/ 1 N)) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N)))) (sqrt (- (/ (* 1/3 (/ 1 N)) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N))))))> #<alt (λ (N) (log (/ (+ N 1) N)))> #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N))) (- (log (+ N 1)) (log N)))))> #<alt (λ (N) (- (/ (* 1/3 (/ 1 N)) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N))))>)
8.284 * * * [regime-changes]: Trying 2 branch expressions: (N (- (log (+ N 1)) (log N)))
8.284 * * * * [regimes]: Trying to branch on N from (#<alt (λ (N) (/ (- (* (/ 1/3 N) (+ (/ (/ 1/4 (* N N)) (* N N)) (* (/ 1 N) (+ (/ 1 N) (/ 1/2 (* N N)))))) (* (* N N) (+ (/ 1/8 (* (* N (* N N)) (* N (* N N)))) (/ -1 (* N (* N N)))))) (+ (* (/ 1/2 (* N N)) (* (/ 1/2 (* N N)) (* N N))) (* (* (/ 1 N) (+ (/ 1 N) (/ 1/2 (* N N)))) (* N N)))))> #<alt (λ (N) (exp (log (- (/ (* 1/3 (/ 1 N)) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N))))))> #<alt (λ (N) (* (sqrt (- (/ (* 1/3 (/ 1 N)) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N)))) (sqrt (- (/ (* 1/3 (/ 1 N)) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N))))))> #<alt (λ (N) (log (/ (+ N 1) N)))> #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N))) (- (log (+ N 1)) (log N)))))> #<alt (λ (N) (- (/ (* 1/3 (/ 1 N)) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N))))>)
8.318 * * * * [regimes]: Trying to branch on (- (log (+ N 1)) (log N)) from (#<alt (λ (N) (/ (- (* (/ 1/3 N) (+ (/ (/ 1/4 (* N N)) (* N N)) (* (/ 1 N) (+ (/ 1 N) (/ 1/2 (* N N)))))) (* (* N N) (+ (/ 1/8 (* (* N (* N N)) (* N (* N N)))) (/ -1 (* N (* N N)))))) (+ (* (/ 1/2 (* N N)) (* (/ 1/2 (* N N)) (* N N))) (* (* (/ 1 N) (+ (/ 1 N) (/ 1/2 (* N N)))) (* N N)))))> #<alt (λ (N) (exp (log (- (/ (* 1/3 (/ 1 N)) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N))))))> #<alt (λ (N) (* (sqrt (- (/ (* 1/3 (/ 1 N)) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N)))) (sqrt (- (/ (* 1/3 (/ 1 N)) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N))))))> #<alt (λ (N) (log (/ (+ N 1) N)))> #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N))) (- (log (+ N 1)) (log N)))))> #<alt (λ (N) (- (/ (* 1/3 (/ 1 N)) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N))))>)
8.370 * * * [regime]: Found split indices: #<option (#s(si 3 128) #s(si 5 255))>
8.370 * [binary-search]: Improving bounds with binary search for N and (#<alt (λ (N) (/ (- (* (/ 1/3 N) (+ (/ (/ 1/4 (* N N)) (* N N)) (* (/ 1 N) (+ (/ 1 N) (/ 1/2 (* N N)))))) (* (* N N) (+ (/ 1/8 (* (* N (* N N)) (* N (* N N)))) (/ -1 (* N (* N N)))))) (+ (* (/ 1/2 (* N N)) (* (/ 1/2 (* N N)) (* N N))) (* (* (/ 1 N) (+ (/ 1 N) (/ 1/2 (* N N)))) (* N N)))))> #<alt (λ (N) (exp (log (- (/ (* 1/3 (/ 1 N)) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N))))))> #<alt (λ (N) (* (sqrt (- (/ (* 1/3 (/ 1 N)) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N)))) (sqrt (- (/ (* 1/3 (/ 1 N)) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N))))))> #<alt (λ (N) (log (/ (+ N 1) N)))> #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N))) (- (log (+ N 1)) (log N)))))> #<alt (λ (N) (- (/ (* 1/3 (/ 1 N)) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N))))>)
8.418 * [regimes]: Found splitpoints: (#s(sp 3 N 8885.992756934142) #s(sp 5 N +nan.0)) , with alts (#<alt (λ (N) (/ (- (* (/ 1/3 N) (+ (/ (/ 1/4 (* N N)) (* N N)) (* (/ 1 N) (+ (/ 1 N) (/ 1/2 (* N N)))))) (* (* N N) (+ (/ 1/8 (* (* N (* N N)) (* N (* N N)))) (/ -1 (* N (* N N)))))) (+ (* (/ 1/2 (* N N)) (* (/ 1/2 (* N N)) (* N N))) (* (* (/ 1 N) (+ (/ 1 N) (/ 1/2 (* N N)))) (* N N)))))> #<alt (λ (N) (exp (log (- (/ (* 1/3 (/ 1 N)) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N))))))> #<alt (λ (N) (* (sqrt (- (/ (* 1/3 (/ 1 N)) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N)))) (sqrt (- (/ (* 1/3 (/ 1 N)) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N))))))> #<alt (λ (N) (log (/ (+ N 1) N)))> #<alt (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N))) (- (log (+ N 1)) (log N)))))> #<alt (λ (N) (- (/ (* 1/3 (/ 1 N)) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N))))>)
8.418 * [simplify]: Simplifying (if (<= N 8885.992756934142) (log (/ (+ N 1) N)) (- (/ (* 1/3 (/ 1 N)) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N))))
8.419 * * [simplify]: iteration 1: (17 enodes)
8.420 * * [simplify]: iteration 2: (21 enodes)
8.422 * * [simplify]: Extracting #0: cost 1 inf + 0
8.422 * * [simplify]: Extracting #1: cost 4 inf + 0
8.422 * * [simplify]: Extracting #2: cost 9 inf + 0
8.422 * * [simplify]: Extracting #3: cost 12 inf + 2
8.422 * * [simplify]: Extracting #4: cost 13 inf + 110
8.423 * * [simplify]: Extracting #5: cost 9 inf + 195
8.423 * * [simplify]: Extracting #6: cost 2 inf + 1054
8.423 * * [simplify]: Extracting #7: cost 0 inf + 1771
8.424 * [simplify]: Simplified to (if (<= N 8885.992756934142) (log (/ (+ 1 N) N)) (- (/ (* 1/3 (/ 1 N)) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N))))
12.198 * [regime-testing]: Baseline error score: 29.83955283280488
12.203 * [regime-testing]: Oracle error score: 0.0491133241582371
12.212 * [regime-testing]: End program error score: 0.055316425797212694